PR-6129UK Primary Maths - Year 3 Book 2
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6129
<strong>Primary</strong> <strong>Maths</strong> – <strong>Year</strong> 3 <strong>Book</strong> 2 – Measurement, Geometry and Statistics<br />
Published by Prim-Ed Publishing 2014<br />
Copyright© Clare Way 2004<br />
ISBN 978-84654-761-4<br />
<strong>PR</strong>–6129<br />
This master may only be reproduced by the original<br />
purchaser for use with their class(es). The publisher<br />
prohibits the loaning or onselling of this master for<br />
the purposes of reproduction.<br />
Titles available in this series:<br />
6124 <strong>Primary</strong> <strong>Maths</strong><br />
<strong>Year</strong> 1, <strong>Book</strong> 1 – Number<br />
6125 <strong>Primary</strong> <strong>Maths</strong><br />
<strong>Year</strong> 1, <strong>Book</strong> 2 – Measurement and Geometry<br />
6126 <strong>Primary</strong> <strong>Maths</strong><br />
<strong>Year</strong> 2, <strong>Book</strong> 1 – Number<br />
6127 <strong>Primary</strong> <strong>Maths</strong><br />
<strong>Year</strong> 2, <strong>Book</strong> 2 – Measurement, Geometry and Statistics<br />
6128 <strong>Primary</strong> <strong>Maths</strong><br />
<strong>Year</strong> 3, <strong>Book</strong> 1 – Number<br />
6129 <strong>Primary</strong> <strong>Maths</strong><br />
<strong>Year</strong> 3, <strong>Book</strong> 2 – Measurement, Geometry and Statistics<br />
6130 <strong>Primary</strong> <strong>Maths</strong><br />
<strong>Year</strong> 4, <strong>Book</strong> 1 – Number<br />
6131 <strong>Primary</strong> <strong>Maths</strong><br />
<strong>Year</strong> 4, <strong>Book</strong> 2 – Measurement, Geometry and Statistics<br />
6132 <strong>Primary</strong> <strong>Maths</strong><br />
<strong>Year</strong> 5, <strong>Book</strong> 1 – Number<br />
6133 <strong>Primary</strong> <strong>Maths</strong><br />
<strong>Year</strong> 5, <strong>Book</strong> 2 – Measurement, Geometry and Statistics<br />
6134 <strong>Primary</strong> <strong>Maths</strong><br />
<strong>Year</strong> 6, <strong>Book</strong> 1 – Number, Algebra, Ratio and Proportion<br />
6135 <strong>Primary</strong> <strong>Maths</strong><br />
<strong>Year</strong> 6, <strong>Book</strong> 2 – Measurement, Geometry and Statistics<br />
Copyright Notice<br />
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Foreword<br />
<strong>Primary</strong> <strong>Maths</strong> is a photocopiable, six-level, year–specific series designed to address the<br />
<strong>Primary</strong> National Curriculum for Mathematics objectives of:<br />
• number<br />
• measurement<br />
• geometry<br />
• statistics.<br />
Each book in the <strong>Primary</strong> <strong>Maths</strong> series includes:<br />
• at least one activity page for each objective<br />
• comprehensive teachers notes to accompany each activity<br />
• additional teachers notes on activities and games<br />
• assessment checklists<br />
• additional photocopiable resources<br />
• interactive whiteboard resources available to download.<br />
The <strong>Year</strong> 3 books in the <strong>Primary</strong> <strong>Maths</strong> series are:<br />
<strong>Primary</strong> <strong>Maths</strong> - Number<br />
<strong>Primary</strong> <strong>Maths</strong> - Measurement, Geometry and Statistics<br />
Teachers notes:<br />
How to use this book.............................. iv–v<br />
Setting up a maths classroom....................vi<br />
Activities and games.............................vi–vii<br />
Assessment checklists...........................viii–x<br />
Additional resources...........................xi–xvii<br />
Contents<br />
Pupil activities with accompanying teachers notes:<br />
Measurement................................ 2–49 Statistics....................................... 86–103<br />
Length and height......................... 2–13 Bar charts........................................ 86–93<br />
Mass.................................................. 14–19 Pictograms...................................... 92-97<br />
Capacity........................................... 20–25 Tables................................................ 98-103<br />
Perimeter......................................... 26–27<br />
Money.............................................. 28–33<br />
Time.................................................. 34–49<br />
Geometry...................................... 50–85<br />
2-D shapes...................................... 50–53<br />
3-D shapes...................................... 54–71<br />
Angles............................................... 72–81<br />
Lines.................................................. 82–85<br />
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Teachers notes<br />
How to use this book<br />
The <strong>Primary</strong> <strong>Maths</strong> series provides teachers with a number of varied and challenging activities. At least one activity,<br />
often more, is provided for each objective of the <strong>Primary</strong> National Curriculum for Mathematics.<br />
Suggestions for using the activities in this book:<br />
Objective:<br />
• Decide which curriculum objective you wish to address and choose the appropriate activity page(s).<br />
Oral work and mental calculation starter:<br />
• Choose which oral and mental activities you will use, from the list provided, to introduce the lesson or sharpen<br />
pupils’ skills.<br />
• Some of the activities have accompanying interactive whiteboard activities to help introduce the lesson and capture<br />
pupils’ attention.<br />
• These activities should occupy the first 5–10 minutes of the lesson.<br />
Main teaching activity:<br />
• Decide how much teacher input you will provide for the main activity and whether pupils will be working<br />
individually, in pairs or as a group.<br />
• Depending upon the abilities of the pupils in your class, decide whether any additional activities will be needed, from<br />
the list provided, or whether these can be used during subsequent lessons.<br />
• This activity should occupy approximately 40 minutes.<br />
Plenary:<br />
• Decide what opportunities will be provided during the plenary session. Will pupils be given the opportunity to share<br />
and explain work, compare strategies used or summarise the key facts they have learnt?<br />
• Think about how you can use the plenary session to assess pupils’ progress and therefore inform your future<br />
planning.<br />
• The plenary should occupy the final 15 minutes of the lesson.<br />
Pupil activity pages:<br />
The pupil activities follow a common format:<br />
Title explanation<br />
After initial discussion, some<br />
activities can be completed<br />
individually, and others in small<br />
groups or as a whole class.<br />
The ‘Challenge’ activity can be<br />
completed by early finishers or<br />
those pupils requiring extension<br />
of the task. Pupils may need to<br />
complete the activity on the back<br />
of the worksheet or investigate<br />
an activity further by using<br />
concrete materials or creating<br />
their own ideas linked to the<br />
objective.<br />
The objective provides the<br />
teacher with the focus of the<br />
activity. It is written in the form<br />
of a general objective.<br />
An icon denotes the curriculum strand for each activity.<br />
Number<br />
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N<br />
Number<br />
M<br />
Measurement<br />
G<br />
Geometry<br />
S<br />
Statistics<br />
Measurement<br />
Geometry<br />
Statistics<br />
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Teachers pages<br />
A teachers page accompanies each pupil worksheet. It provides the following information:<br />
The objective tells the teacher which strand<br />
and objective from the <strong>Primary</strong> National<br />
Curriculum for Mathematics is being<br />
covered.<br />
Oral work and mental calculation activities<br />
are suggested, for introducing the lesson or<br />
sharpening/developing oral and mental<br />
skills. The activities should occupy the first<br />
10 minutes of the lesson.<br />
Some activities have interactive whiteboard<br />
activities available to download. If an<br />
interactive activity is provided it is listed<br />
here.<br />
The title of the main teaching activity is<br />
given. The photocopiable activity is on the<br />
page facing the teachers notes. The main<br />
activity should occupy approximately 40<br />
minutes.<br />
Suggestions for additional<br />
activities are provided. They can<br />
be completed during the lesson, or<br />
in subsequent lessons. They can be<br />
used to aid differentiation.<br />
Answers to all activities are<br />
provided.<br />
Assessment<br />
Assessment checklists have been included for the <strong>Year</strong> 3 ‘Measurement’, ‘Geometry’ and ‘Statistics’ objectives. See<br />
pages viii–x. These can be used to assess each pupil’s understanding of the key objectives covered.<br />
Use the key to write the appropriate<br />
code next to each task the pupil<br />
completes.<br />
Teachers notes<br />
How to use this book<br />
A summary of the tasks pupils will<br />
complete.<br />
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• Teaching notes for the ‘Measurement’, ‘Geometry’ and ‘Statistics’ objectives have been included on pages vi-vii.<br />
These comprise background information and suggested activities and games.<br />
• Extra teacher resources have been included on pages xi-xvii. These can be enlarged if necessary and used in<br />
appropriate activities or as display posters.<br />
• Interactive whiteboard activities have been provided to help teach the objectives. These can be downloaded from<br />
www.prim-ed.com.<br />
<strong>Primary</strong> <strong>Maths</strong> Prim-Ed Publishing www.prim-ed.com v
Setting up a mathematics classroom<br />
By having the following materials and visual representations around them, pupils can better engage in mathematical<br />
learning.<br />
• Allow room to move so pupils can investigate things<br />
around the room. Organise desks and floor space<br />
appropriately.<br />
• Display a ‘Numbers’ chart.<br />
• Display a number line at a level where pupils can use<br />
it.<br />
• Display numbers, number words and a visual<br />
representation of numbers.<br />
• Display addition and subtraction facts.<br />
• Display a 100 square.<br />
• Ensure you have a good range of maths games and<br />
use them regularly.<br />
• Display ‘times tables’ charts.<br />
• Have an analogue and digital clock in the classroom.<br />
• Display pictures of labelled 2-D and 3-D shapes.<br />
• Provide construction materials such as cardboard<br />
boxes, cylinders, paper, scissors and so on.<br />
• Ensure you have adequate concrete materials to<br />
teach each strand (refer to pages vi-vii).<br />
• Allow pupils opportunities to investigate outside the<br />
classroom in the school environment.<br />
Statistics – Activities and games<br />
• Collect data on pupils in the class; e.g. eye colour,<br />
favourite sport or hobby, pets owned. Record data<br />
on a simple table.<br />
• Organise and display data collected on a graph<br />
(pictogram or bar chart).<br />
• Answer questions about graph, orally and in<br />
writing.<br />
• Use simple graphing software to produce graphs<br />
on a computer.<br />
Teachers notes<br />
• Display a chart showing simple equivalent fractions.<br />
• Display or make various graphs such as pictograms,<br />
bar charts, block graphs, Venn diagrams and Carroll<br />
diagrams.<br />
• Display a class birthday chart which includes the<br />
months of the year.<br />
• Display and use a calendar.<br />
• Have computer software related to mathematics<br />
available for use on the classroom computer(s) or in<br />
the computer room.<br />
• Display a poster showing all coins and notes.<br />
• Provide a range of measuring equipment for length,<br />
mass and capacity.<br />
• Display the four compass directions: north, south,<br />
east and west.<br />
• Ensure you have a good selection of interactive<br />
maths resources for use on a whiteboard (available<br />
to download from www.prim-ed.com).<br />
Materials required<br />
• grid paper<br />
• graph paper (see page xvii)<br />
• various graphs for reference; e.g. bar chart,<br />
pictogram<br />
• computer with graphing software<br />
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Measurement – Activities and games<br />
• Select items to measure such as desk length and<br />
depth, width of classroom, own height, arm span,<br />
length or width of playground and so on. Pupils<br />
choose an arbitrary unit to measure with. Record<br />
and discuss results which may be recorded on a<br />
graph or as a tally.<br />
• Cut two equal lengths of wood or string. Use one<br />
length to make a long, thin shape and the other to<br />
make an almost circular shape. Measure with tiles<br />
or counters to see which has the larger surface area.<br />
• Collect a number of cardboard boxes—cereal boxes,<br />
cake mix etc.—and record the volume of each by<br />
filling it with sand, rice or dried beans.<br />
Measure the volume by ‘cupfuls’. Cut the boxes<br />
open and lay them out flat to compare their<br />
surface areas. Does the box with the largest<br />
surface area also have the largest volume?<br />
• Choose several different large objects; for example,<br />
chair, bin, plastic crate. Pick them up one at a time<br />
and order them from lightest to heaviest.<br />
Choose several different smaller objects. Pick them<br />
up one at a time and order them from lightest to<br />
heaviest.<br />
Repeat this activity many times using different<br />
found objects.<br />
Use scales to confirm findings.<br />
• Make a ball of modelling clay. Weigh it and record<br />
its mass. Roll it out into a cylinder and weigh it<br />
again. Has the mass changed? Change the clay<br />
into different shapes and explain the findings.<br />
• Pupils mark their birthdays and other important<br />
events onto a class calendar.<br />
• Estimate and then check how long it takes to<br />
complete activities; for example, write out the two<br />
times table or run 100 metres.<br />
Materials required<br />
• arbitrary measuring units; e.g. pencils, toothpicks<br />
• rulers/metre ruler • containers of varying capacity<br />
• trundle wheel • balance scales<br />
• 1-cm cubes • bathroom scales<br />
• grid paper • calendar<br />
• tape measure • stopwatch<br />
• analogue and<br />
digital clocks (see page xvi)<br />
Teachers notes<br />
Geometry – Activities and games<br />
• Draw shapes or pictures in squares on 2-cm grid<br />
paper. Write coordinates A, B, C … along the<br />
horizontal axis and 1, 2, 3 … along the vertical axis.<br />
List the coordinates for each shape or picture. Pass to<br />
a partner to write the actual shape or picture at each<br />
given coordinate.<br />
• Make right-angled turns using the four compass<br />
directions; N, S, E, W.<br />
• Make 3-D shapes from modelling clay. Use fishing<br />
line or wire to make cross-sectional cuts of the<br />
shapes. Draw the new cross-section to show the<br />
shape formed.<br />
• The following two activities require a large quantity<br />
of shapes and the materials to make further shapes.<br />
Pupils make as many shapes as they can with four<br />
sides. In what ways are they similar or different?<br />
Pupils make shapes with from 3 to 8 sides. Change<br />
the size of the angles to see the effect, if any. Record<br />
their findings.<br />
• Use selected shapes to make drawings of methods of<br />
transport or other objects. Describe the shapes used<br />
to make the different parts.<br />
• Use an assortment of 2-D shapes to see which<br />
tessellate. Using a shape that tessellates, make a<br />
pattern to cover a page. Estimate how many shapes<br />
it will take to cover page.<br />
• Use an overhead projector and 2-D shapes for this<br />
activity:<br />
Describe what needs to be done to this shape to<br />
make it look like this .<br />
Using an OHP, continue with these shapes:<br />
to a , to a , to a .<br />
Pupils choose their own beginning shapes and<br />
experiment to find different final shapes.<br />
• Classify 3-D shapes and 2-D shapes according to<br />
their attributes. Use headings on paper or Venn<br />
diagrams to assist in initial classification.<br />
• Fold paper 2-D shapes to discover lines of symmetry.<br />
Materials required<br />
• 2-D and 3-D shape pictures (see pages xi and xii)<br />
• 2-D shapes for tessellation/symmetry<br />
• construction materials for 3-D models<br />
• mirrors<br />
• toothpicks/pipe-cleaners/straws<br />
• compass (see page xiii)<br />
• geoboards and elastic bands<br />
• fishing line<br />
• grid paper (see page xiv)<br />
• modelling clay/plasticine<br />
• set-squares<br />
• angle poster (see page xv)<br />
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A<br />
Assessment<br />
<strong>Year</strong> 3 Measurement – assessment checklist<br />
Key<br />
D = Demonstrated<br />
NFO = Needs further<br />
opportunity<br />
Pupils’ names<br />
Viewing sampleCompare<br />
Measure and compare lengths.<br />
Add and subtract lengths.<br />
Measure and compare mass.<br />
Add and subtract mass.<br />
Measure and compare capacity/volume.<br />
Add and subtract capacity/volume.<br />
Measure the perimeter of simple 2-D shapes.<br />
Add amounts of money.<br />
Subtract amounts of money to give change.<br />
Use both £ and p in practical contexts.<br />
Tell the time on an analogue clock using<br />
Roman numerals.<br />
Tell the time on an analogue clock using<br />
12-hour time.<br />
Tell the time on an analogue clock using<br />
24-hour time.<br />
Record and compare times in seconds, minutes<br />
and hours.<br />
Use vocabulary o’clock, a.m., p.m., morning,<br />
afternoon, noon and night.<br />
Know the number of seconds in a minute and<br />
number of days in each month, year and leap year.<br />
durations of events.<br />
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<strong>Year</strong> 3 Geometry – assessment checklist<br />
A<br />
Assessment<br />
Key<br />
D = Demonstrated<br />
NFO = Needs further<br />
opportunity<br />
Pupils’ names<br />
Draw 2-D shapes.<br />
Make 3-D shapes using modelling<br />
material.<br />
Recognise 3-D shapes in different<br />
orientations.<br />
Describe 3-D shapes.<br />
Recognise angles as a property of shape.<br />
Recognise angles as a description of a<br />
turn.<br />
Identify right angles.<br />
Recognise that two right angles make a<br />
half turn, three make three quarters and<br />
four a complete turn.<br />
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Identify whether angles are greater than<br />
or less than a right angle.<br />
Identify horizontal and vertical lines.<br />
Identify pairs of perpendicular and<br />
parallel lines.<br />
<strong>Primary</strong> <strong>Maths</strong> Prim-Ed Publishing www.prim-ed.com ix
A<br />
Assessment<br />
<strong>Year</strong> 3 Statistics – assessment checklist<br />
Key<br />
D = Demonstrated<br />
NFO = Needs further<br />
opportunity<br />
Pupils’ names<br />
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Interpret and present data using bar<br />
charts.<br />
Interpret and present data using<br />
pictograms.<br />
Interpret and present data using tables.<br />
Solve questions using information<br />
presented in scaled bar charts.<br />
Solve questions using information presented<br />
in pictograms.<br />
Solve questions using information<br />
presented in tables.<br />
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Teacher resources<br />
2-D shapes<br />
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Teacher resources<br />
3-D shapes<br />
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Teacher resources<br />
Four compass directions<br />
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<strong>Primary</strong> <strong>Maths</strong> Prim-Ed Publishing www.prim-ed.com xiii
Teacher resources<br />
Grids and coordinates<br />
6<br />
5<br />
4<br />
3<br />
2<br />
1<br />
3<br />
2<br />
1<br />
A B C<br />
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A B C D E F<br />
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Teacher resources<br />
Angles<br />
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Teacher resources<br />
Clock faces (blank)<br />
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Teacher resources<br />
Block graph<br />
10<br />
9<br />
8<br />
7<br />
6<br />
5<br />
4<br />
3<br />
2<br />
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<strong>Primary</strong> <strong>Maths</strong> Prim-Ed Publishing www.prim-ed.com xvii
M<br />
Measurement<br />
TEACHER INFORMATION<br />
MEASUREMENT<br />
Objective<br />
• Measure and compare lengths, mass and volume/capacity.<br />
Oral work and mental calculation<br />
• Use the vocabulary:<br />
Length: long, short, tall, high, low, wide, narrow, deep,<br />
shallow, thick, thin, far, near, close, distance ...<br />
Mass: weight, weighs, heavy, light, balances,<br />
scales ...<br />
Capacity: full, empty, half-full, holds ...<br />
• Use comparative words to compare lengths/masses/<br />
capacities; for example, heavier, heaviest.<br />
• Know that: 1 kilometre = 1000 metres, 1 metre = 100<br />
centimetres, 1 centimetre = 10 millimetres, 1 kilogram<br />
= 1000 grams and 1 litre = 1000 millilitres.<br />
• Respond to oral questions; for example,<br />
Would you expect a front door to be 1, 2 or 5 metres<br />
tall? Would you expect an average 7-year-old child to<br />
weigh 10, 30 or 50 kg?<br />
• Discuss which unit of measurement would be best to<br />
measure different objects and why; for example, what<br />
unit would you use to measure the length of a spoon<br />
and why?<br />
Interactive whiteboard activity<br />
Interactive whiteboard activity available to support this<br />
copymaster. Visit www.prim-ed.com.<br />
Main teaching activity<br />
Units of measurement (page 3)<br />
Additional activities suitable for developing<br />
the objective<br />
• Draw objects that could be measured using<br />
kilometres, metres, centimetres, millimetres,<br />
kilograms, grams, litres and millilitres.<br />
• Collect and display items of packaged food. Use the<br />
information on the food labels to arrange them in<br />
order from lightest to heaviest.<br />
• Estimate and then check; How wide is the classroom?<br />
How thick is a pencil? How heavy is a house brick?<br />
How much water will this jug hold?<br />
Answers<br />
1. Length: metre (m), centimetre (cm), kilometre (km),<br />
millimetre (mm)<br />
Mass: kilogram (kg), gram (g)<br />
Capacity: litre (L), millilitre (mL)<br />
2. (a) cm (b) mL (c) kg (d) m<br />
(e) g (f) L (g) km<br />
3. (a) 5 m = 500 cm, 250 cm = 2.5 m, 7 m 80 cm = 7.8<br />
cm, 100 mm = 10 cm, 9.5 m = 9 m 50 cm, 25 cm<br />
= 250 mm<br />
(b) 1 kg 200 g = 1200 g, 1.5 kg = 1500 g, 2500 g = 2<br />
kg 500 g<br />
(c) 2 L = 2000 mL, 4000 mL = 4 L, 2 L 600 mL = 2600<br />
mL<br />
Challenge: Teacher check<br />
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UNITS OF MEASUREMENT<br />
M<br />
Measurement<br />
1. List all the length, mass and capacity units of measurement under their correct headings.<br />
metre (m)<br />
litre (L)<br />
Length Mass Capacity<br />
kilogram (kg)<br />
gram (g)<br />
millilitre (mL)<br />
CHALLENGE<br />
Add any other units of length, mass or capacity measurement to the list in Question 1.<br />
Write them in green.<br />
Objective<br />
centimetre (cm)<br />
kilometre (km)<br />
millimetre (mm)<br />
2. Use the names of the units above to complete<br />
these sentences about measuring.<br />
(a) You measure the length of your pencil in<br />
(b) You measure the capacity of a thimble in<br />
(c) You measure your weight in<br />
(d) You measure the height of a netball ring in<br />
(e) You measure the mass of a pen in<br />
(f) You measure the capacity of a bucket in<br />
(g) You measure the length of a motorway in<br />
<strong>Primary</strong> <strong>Maths</strong> Prim-Ed Publishing www.prim-ed.com 3<br />
.<br />
.<br />
.<br />
.<br />
.<br />
.<br />
.<br />
3. Draw arrows to match equivalent<br />
measurements.<br />
(a) 5 m<br />
7.8 m<br />
250 cm 250 mm<br />
7 m 80 cm 500 cm<br />
100 mm 2.5 m<br />
9.5 m 10 cm<br />
25 cm 9 m 50 cm<br />
(b) 1 kg 200 g<br />
(c) 2 L<br />
2 kg 500 g<br />
1.5 kg 1200 g<br />
2500 g 1500 g<br />
Viewing sample<br />
Uses vocabulary related to length, mass and capacity.<br />
4 L<br />
4000 mL 2600 mL<br />
2 L 600 mL 2000 mL
M<br />
Measurement<br />
TEACHER INFORMATION<br />
MEASUREMENT<br />
Objective<br />
• Measure and compare lengths.<br />
Oral work and mental calculation<br />
• Use the vocabulary: long, short, tall, high, low, wide,<br />
narrow, deep, shallow, thick, thin, far, near, close,<br />
distance …<br />
and comparative words; for example, longer, longest.<br />
• Know that: 1 kilometre = 1000 metres, 1 metre = 100<br />
centimetres and 1 centimetre = 10 millimetres.<br />
• Sort a collection of objects according to whether they<br />
are about 1 cm, 10 cm or 50 cm in length.<br />
• Respond to questions; for example, What object is<br />
about 1 cm long? What object is about 1 m long?<br />
What object is about 20 cm tall? Check by measuring.<br />
Main teaching activity<br />
Measuring in centimetres (page 5)<br />
Additional activities suitable for developing<br />
the objective<br />
• Draw objects to match various lengths; for example,<br />
5 cm, 20 cm, 50 cm.<br />
• Sort a collection of objects from shortest to longest.<br />
Measure each object in centimetres and write a label<br />
to say how long each object is.<br />
• Work in pairs and use a tape measure to measure<br />
various body parts; for example, a hand span or the<br />
distance around an ankle.<br />
• Estimate and then check; How wide is the classroom?<br />
How long is a pencil? How thick is a dictionary? How<br />
tall is a desk?<br />
• Measure lengths of string or lines to the nearest<br />
whole or half centimetre.<br />
• Draw lines that are whole or half centimetres in<br />
length.<br />
Answers<br />
1. (a) 3 cm (b) 6.5 cm<br />
(c) 4.5 cm<br />
(d) 10.5 cm<br />
(e) 5.5 cm<br />
2. (a) pencil d (b) pencil a<br />
(c) 3 cm, 4.5 cm, 5.5 cm, 6.5 cm, 10.5 cm<br />
3. Teacher check<br />
Challenge: Teacher check<br />
Viewing sample<br />
4 www.prim-ed.com Prim-Ed Publishing <strong>Primary</strong> <strong>Maths</strong>
MEASURING IN CENTIMETRES<br />
M<br />
Measurement<br />
1. Measure these different sized pencils to the nearest half centimetre and record the<br />
answers. (Start at the tip of each pencil.)<br />
(a)<br />
(b)<br />
(c)<br />
(d)<br />
(e)<br />
2. (a) Which pencil do you think is the newest?<br />
(b) Which pencil do you think is the oldest?<br />
(c) Order the pencils in centimetres, from shortest to longest.<br />
cm cm cm cm cm<br />
3. Use a ruler to draw lines measuring the following lengths.<br />
(a) 5 cm<br />
(b) 8 cm<br />
(c) 12 cm<br />
(d) 3.5 cm<br />
Viewing sample<br />
(e) 7.5 cm<br />
(f) 10.5 cm<br />
CHALLENGE<br />
Estimate and then measure the height of your desk using a tape measure.<br />
Estimate: between cm and cm Measure: cm<br />
Objective Measures, draws and orders length in centimetres.<br />
<strong>Primary</strong> <strong>Maths</strong> Prim-Ed Publishing www.prim-ed.com 5<br />
cm<br />
cm<br />
cm<br />
cm<br />
cm
M<br />
Measurement<br />
TEACHER INFORMATION<br />
MEASUREMENT<br />
Objective<br />
• Measure and compare lengths.<br />
Oral work and mental calculation<br />
• Use the vocabulary: long, short, tall, high, low, wide,<br />
narrow, deep, shallow, thick, thin, far, near, close,<br />
distance …<br />
and comparative words; for example, longer, longest.<br />
• Know that: 1 metre = 100 centimetres and half a<br />
metre (0.5 m) = 50 cm.<br />
• Sort a collection of objects according to whether they<br />
are about 0.5 m, 1 m or 2 m in length.<br />
• Respond to questions; for example, What object is<br />
about 1 m long? What object is about 2 m tall?<br />
Check by measuring.<br />
Interactive whiteboard activity<br />
Interactive whiteboard activity available to support this<br />
copymaster. Visit www.prim-ed.com.<br />
Main teaching activity<br />
Metres (page 7)<br />
Additional activities suitable for developing<br />
the objective<br />
• Draw objects to match various lengths; for example,<br />
0.5 m, 1 m, 2 m.<br />
• Estimate and then check; How wide is the classroom?<br />
How long is the corridor? How tall is the door?<br />
• Measure the length of the classroom and playground<br />
using a metre ruler, a tape measure and a trundle<br />
wheel.<br />
Answers<br />
1. 20 cm, 30 cm, 40 cm, 60 cm, 80 cm, 90 cm<br />
2. lorry, whiteboard, door, width of classroom, carpet<br />
3. Teacher check<br />
Challenge: Teacher check<br />
Viewing sample<br />
6 www.prim-ed.com Prim-Ed Publishing <strong>Primary</strong> <strong>Maths</strong>
METRES<br />
M<br />
Measurement<br />
There are 100 centimetres in 1 metre.<br />
1. Fill in the missing numbers (counting by 10s) on the metre ruler.<br />
2. Colour the items you would more likely measure in metres than centimetres.<br />
3. Estimate and then measure these objects using a metre ruler. It may be easier to work<br />
with a friend.<br />
Viewing sample<br />
CHALLENGE<br />
Work with a friend to first estimate, then measure in metres, the length of a corridor.<br />
Estimate: m Measure: m<br />
Objective<br />
Estimates and measures lengths of objects to the nearest metre.<br />
<strong>Primary</strong> <strong>Maths</strong> Prim-Ed Publishing www.prim-ed.com 7
M<br />
Measurement<br />
TEACHER INFORMATION<br />
MEASUREMENT<br />
Objective<br />
• Measure and compare lengths.<br />
Oral work and mental calculation<br />
• Use the vocabulary: long, short, tall, high, low, wide,<br />
narrow, deep, shallow, thick, thin, far, near, close,<br />
distance …<br />
and comparative words; for example, longer, longest.<br />
• Know that: 1 metre = 100 centimetres and half a<br />
metre (0.5 m) = 50 cm.<br />
• Sort a collection of objects according to whether<br />
they are about 0.5 m, 1 m or 2 m in length.<br />
• Respond to questions; for example, What object is<br />
about 1 m long? What object is about 2 m tall?<br />
Check by measuring.<br />
Main teaching activity<br />
Measuring in metres (page 9)<br />
Additional activities suitable for developing<br />
the objective<br />
• Draw objects to match various lengths; for example,<br />
0.5 m, 1 m, 2 m.<br />
• Estimate and then check; How wide is the classroom?<br />
How long is the corridor? How tall is the door?<br />
• Measure the length of the classroom and playground<br />
using a metre ruler, a tape measure and a trundle<br />
wheel.<br />
Answers<br />
1. 2 m, 4 m, 6 m, 9 m, 10 m, 12 m<br />
2. Teacher check<br />
Challenge: Teacher check<br />
Viewing sample<br />
8 www.prim-ed.com Prim-Ed Publishing <strong>Primary</strong> <strong>Maths</strong>
MEASURING IN METRES<br />
M<br />
Measurement<br />
1. Order the length of these vehicles from shortest to longest.<br />
m m m m m m<br />
2. Find the actual objects shown below. Estimate then measure them in metres (m).<br />
It may be easier to work with a partner.<br />
Viewing sample<br />
CHALLENGE<br />
Using a trundle wheel, work with a partner to<br />
measure the length of the school playground. Measure: m<br />
Objective<br />
Estimates, measures and orders lengths in metres.<br />
<strong>Primary</strong> <strong>Maths</strong> Prim-Ed Publishing www.prim-ed.com 9
M<br />
Measurement<br />
TEACHER INFORMATION<br />
MEASUREMENT<br />
Objective<br />
• Measure and compare lengths.<br />
Oral work and mental calculation<br />
• Use the vocabulary: long, short, tall, high, low, wide,<br />
narrow, deep, shallow, thick, thin, far, near, close,<br />
distance ... and comparative words; for example,<br />
longer, longest.<br />
• Know that: 1 kilometre = 1000 metres, 1 metre =<br />
100 centimetres and 1 centimetre = 10 millimetres.<br />
• Respond to questions; for example, What object is<br />
about 1 m long? What object is about 1 cm tall?<br />
What object is about 1 km long?<br />
• Discuss whether it would be best to use mm, cm, m<br />
or km to measure various items; for example, how<br />
far it is from Manchester to Birmingham, the length<br />
of a mouse’s tail.<br />
• Suggest other items that could be measured using<br />
mm, cm, m and km.<br />
Interactive whiteboard activity<br />
Interactive whiteboard activity available to support this<br />
copymaster. Visit www.prim-ed.com.<br />
Main teaching activity<br />
Metres, centimetres and millimetres (page 11)<br />
Additional activities suitable for developing<br />
the objective<br />
• Draw objects to match various lengths; for example,<br />
1 mm, 1 cm, 1 m and 1 km.<br />
• Sort a collection of pictures of objects according to<br />
whether they would need measuring in mm, cm, m or<br />
km.<br />
• Estimate and then check; How long is the classroom?<br />
How tall is a pencil? How long is the playing field?<br />
• Measure the length of the classroom and playground<br />
using a metre ruler, a tape measure and a trundle<br />
wheel.<br />
Answers<br />
1. (a) 10 (b) 100<br />
2. (a) cm, ruler (b) m, metre stick<br />
(c) mm, ruler<br />
(d) cm, ruler<br />
(e) m, metre stick<br />
Challenge: Teacher check<br />
Viewing sample<br />
10 www.prim-ed.com Prim-Ed Publishing <strong>Primary</strong> <strong>Maths</strong>
METRES, CENTIMETRES AND MILLIMETRES<br />
M<br />
Measurement<br />
1. Complete the sentences using 10 or 100 .<br />
(a) There are<br />
(b) There are<br />
Objectives • Knows relationships between units of length.<br />
millimetres in one centimetre.<br />
centimetres in one metre.<br />
2. Tick to show the unit and measuring equipment you would use to measure the length of<br />
each object.<br />
mm cm m<br />
ruler<br />
metre<br />
stick<br />
mm cm m<br />
ruler<br />
metre<br />
stick<br />
mm cm m<br />
ruler<br />
metre<br />
stick<br />
mm cm m<br />
ruler<br />
metre<br />
stick<br />
On the back of this sheet, list three things you would measure in:<br />
(a) millimetres (b) centimetres (c) metres.<br />
• Suggests suitable units and measuring equipment to measure length.<br />
trundle<br />
wheel<br />
trundle<br />
wheel<br />
trundle<br />
wheel<br />
trundle<br />
wheel<br />
Viewing sample<br />
CHALLENGE<br />
mm cm m<br />
ruler<br />
metre<br />
stick<br />
trundle<br />
wheel<br />
<strong>Primary</strong> <strong>Maths</strong> Prim-Ed Publishing www.prim-ed.com 11
M<br />
Measurement<br />
TEACHER INFORMATION<br />
MEASUREMENT<br />
Objective<br />
• Add and subtract lengths.<br />
Oral work and mental calculation<br />
• Orally answer one-step measure problems; for<br />
example,<br />
One ruler is 30 cm in length.<br />
How long will 4 rulers be, if placed end to end?<br />
• Encourage the pupils to explain how they worked out<br />
the answers.<br />
Interactive whiteboard activity<br />
Interactive whiteboard activity available to support this<br />
copymaster. Visit www.prim-ed.com.<br />
Main teaching activity<br />
Length word problems (page 13)<br />
Additional activities suitable for developing<br />
the objective<br />
• Complete word problems based on different lengths;<br />
for example,<br />
Length: Sam’s pencil is 17 cm and Jack’s is 13 cm.<br />
What is their total length? What is the difference in<br />
their lengths?<br />
• Complete word problems based on other measures;<br />
for example,<br />
Mass: One packet of biscuits weights 250 g. How<br />
much will five packets weigh?<br />
Capacity: A medicine bottle holds 50 mL. A teaspoon<br />
holds 5 mL. How many teaspoons of medicine are in<br />
the bottle?<br />
Time: Break starts at 10.30 a.m. It lasts for 20<br />
minutes. What time does break end?<br />
• Provide pupils with a simple cake recipe and a list of<br />
measures-related questions to ask about the recipe;<br />
for example,<br />
How much does the flour and sugar weigh<br />
altogether?<br />
If you wanted to make three times as many cakes,<br />
how much butter would you need?<br />
If you put the cakes in the oven at half past nine, by<br />
what time would they be cooked?<br />
• Pupils write their own word problems about<br />
measures and ask a partner to work them out.<br />
Answers<br />
Viewing sample<br />
1. (a) 52 cm (b) 21 mm (c) 75 m<br />
(d) 225 km (e) 145 cm<br />
Challenge: Teacher check<br />
12 www.prim-ed.com Prim-Ed Publishing <strong>Primary</strong> <strong>Maths</strong>
LENGTH WORD <strong>PR</strong>OBLEMS<br />
M<br />
Measurement<br />
1. Solve these word problems and show your calculations.<br />
Problem<br />
Solution<br />
(a) Max has four pencils in his<br />
pencil case. The pencils measure<br />
18 cm, 15 cm, 11 cm and 8 cm.<br />
If Max placed his pencils end to<br />
end, how far would his pencils<br />
stretch?<br />
(b) There were six fleas in the flea<br />
circus. Their heights were 1 mm,<br />
2 mm, 3 mm, 4 mm, 5 mm and<br />
6 mm.<br />
If they stood on top of each<br />
other, how tall would they be in<br />
total?<br />
(c) Kasim swam 75 metres on<br />
Tuesday and 150 metres on<br />
Friday.<br />
How much further did he swim<br />
on Friday?<br />
(d) Max’s dad does a lot of driving<br />
each week. He drives Max<br />
3 km to school each day, he<br />
then continues onto work for a<br />
further 21 km each way.<br />
How far does Max’s dad travel<br />
each week?<br />
Viewing sample<br />
(e) Julie is 25 cm taller than her<br />
brother Jim.<br />
Jim is 120 cm tall. How tall is<br />
Julie?<br />
CHALLENGE<br />
Write a length problem of your own for a friend to solve.<br />
Objective<br />
Solves word problems using lengths.<br />
<strong>Primary</strong> <strong>Maths</strong> Prim-Ed Publishing www.prim-ed.com 13
M<br />
Measurement<br />
TEACHER INFORMATION<br />
MEASUREMENT<br />
Objective<br />
• Measure and compare mass.<br />
Oral work and mental calculation<br />
• Use the vocabulary: weight, weighs, heavy, light,<br />
balances, scales ... and comparative words; for<br />
example, lighter, lightest.<br />
• Know that: 1 kilogram = 1000 grams.<br />
• Order objects from lightest to heaviest by hefting.<br />
• Extend to ordering objects from lightest to heaviest<br />
by weighing on scales.<br />
• Sort a collection of objects according to whether they<br />
are about 100 g, 500 g or 1 kg in weight.<br />
• Respond to questions; for example, What object<br />
weighs about 500 g? 1 kg? Check by weighing.<br />
Main teaching activity<br />
Kilograms (page 15)<br />
Additional activities suitable for developing<br />
the objective<br />
• Draw objects that are various weights; for example,<br />
100 g, 500 g and 1 kg.<br />
• Sort a collection of objects from lightest to heaviest.<br />
Weigh each object and write a label to say how heavy<br />
each object is.<br />
• Collect and display items of packaged food. Use the<br />
information on the food labels to arrange them in<br />
order from lightest to heaviest, and vice versa.<br />
• Estimate and then check; How heavy is a rock? How<br />
heavy are five dictionaries?<br />
• Work out a recipe for eight people or two people by<br />
doubling or halving quantities in a simple recipe for<br />
four people.<br />
Answers<br />
1. Teacher check<br />
2. Teacher check<br />
3. Teacher check<br />
4. Teacher check<br />
Challenge: Teacher check<br />
Viewing sample<br />
14 www.prim-ed.com Prim-Ed Publishing <strong>Primary</strong> <strong>Maths</strong>
KILOGRAMS<br />
M<br />
Measurement<br />
1. Using balance scales, estimate and then measure how many marbles it takes to<br />
equal the weight of 1 kilogram.<br />
Estimate:<br />
Measure:<br />
marbles<br />
marbles<br />
2. Hold a kilogram weight in one hand and each of these items in the other, then write if<br />
they are less than 1 kg or more than 1 kg.<br />
(a)<br />
(b)<br />
(c)<br />
(d)<br />
3. Estimate and weigh three objects using kitchen scales. Draw each object in the space.<br />
Viewing sample<br />
4. Estimate and then weigh your school bag using bathroom scales.<br />
CHALLENGE<br />
Write three things you know weigh 1 kilogram.<br />
(Clue: There are many things in the supermarket!)<br />
Estimate: kg Measure: kg<br />
(a) (b) (c)<br />
Objective<br />
Measures and compares mass.<br />
<strong>Primary</strong> <strong>Maths</strong> Prim-Ed Publishing www.prim-ed.com 15
M<br />
Measurement<br />
TEACHER INFORMATION<br />
MEASUREMENT<br />
Objective<br />
• Measure and compare mass.<br />
Oral work and mental calculation<br />
• Use the vocabulary: weight, weighs, heavy, light,<br />
balances, scales ... and comparative words; for<br />
example, lighter, lightest.<br />
• Know that: 1 kilogram = 1000 grams.<br />
• Discuss whether it would be best to use grams or<br />
kilograms to weigh various items; for example, six<br />
grapes, a bag of groceries.<br />
• Suggest other items that could be weighed using<br />
grams and kilograms.<br />
• Weigh items using different scales – balance, kitchen<br />
and bathroom. Discuss which are the easiest/most<br />
accurate to use and why. Discuss whether one type of<br />
scale is better than others for measuring certain types<br />
of objects and why.<br />
Interactive whiteboard activity<br />
Interactive whiteboard activity available to support this<br />
copymaster. Visit www.prim-ed.com.<br />
Main teaching activity<br />
Grams and kilograms (page 17)<br />
Additional activities suitable for developing<br />
the objective<br />
• Draw objects that are various weights; for example,<br />
100 g, 500 g and 1 kg.<br />
• Sort a collection of pictures of objects according<br />
to whether they would need weighing in grams or<br />
kilograms.<br />
• Collect and display items of packaged food. Use the<br />
information on the food labels to arrange them in<br />
order from lightest to heaviest, and vice versa.<br />
• Estimate and then check; How heavy is a rock? How<br />
heavy are five dictionaries?<br />
Answers<br />
1. 200 g, 500 g, 750 g, 1 kg, 1.2 kg, 1.5 kg, 2 kg, 5 kg<br />
2. (a) kg, bathroom (b) g, kitchen/balance<br />
(c) kg, bathroom<br />
Challenge: Teacher check<br />
Viewing sample<br />
16 www.prim-ed.com Prim-Ed Publishing <strong>Primary</strong> <strong>Maths</strong>
GRAMS AND KILOGRAMS<br />
There are 1000 grams in 1 kilogram.<br />
1. Order the weight of these foods from lightest to heaviest.<br />
M<br />
Measurement<br />
g, g, g, kg, kg, kg, kg,<br />
kg<br />
2. Tick to show the unit and measuring equipment you would use to measure the mass of<br />
each object.<br />
grams<br />
kitchen or<br />
balance scales<br />
grams<br />
kitchen or<br />
balance scales<br />
grams<br />
kitchen or<br />
balance scales<br />
CHALLENGE<br />
List three things you would measure in:<br />
(a) grams<br />
(b) kilograms<br />
kilograms<br />
bathroom<br />
scales<br />
kilograms<br />
bathroom<br />
scales<br />
kilograms<br />
Viewing sample<br />
bathroom<br />
scales<br />
Objectives<br />
• Knows relationships between units of mass.<br />
• Suggests suitable units and measuring equipment to measure mass.<br />
<strong>Primary</strong> <strong>Maths</strong> Prim-Ed Publishing www.prim-ed.com 17
M<br />
Measurement<br />
TEACHER INFORMATION<br />
MEASUREMENT<br />
Objective<br />
• Measure and compare, add and subtract mass.<br />
Oral work and mental calculation<br />
• Know that: 1 kilogram = 1000 grams and ½ kilogram<br />
= 500 grams.<br />
• Respond to questions; for example, What object<br />
weighs about ½ kilogram?<br />
• Practise reading scales on kitchen and bathroom<br />
scales to the nearest half and whole unit.<br />
• Orally answer one-step measure problems; for<br />
example, One box of cereals weighs 500 g. How much<br />
will four boxes weigh?<br />
Interactive whiteboard activity<br />
Interactive whiteboard activity available to support this<br />
copymaster. Visit www.prim-ed.com.<br />
Main teaching activity<br />
Mass measurements (page 19)<br />
Additional activities suitable for developing<br />
the objective<br />
• Draw objects that are various weights; for example,<br />
1<br />
⁄ 2<br />
kg.<br />
• Investigate how many marbles/beads/buttons weigh<br />
exactly half a kilogram.<br />
• Complete weight word problems; for example, One<br />
packet of biscuits weighs 250 g. How much will five<br />
packets weigh?<br />
Answers<br />
1. (a) 500 (b) 2000 (c) ¼ (d) 5<br />
2. (a) 100 g (b) 400 g (c) 900 g (d) 600 g<br />
3. (a) 950 g (b) 31 kg<br />
4. (a) 3 kg 250 g (b) 6 kg 405 g<br />
(c) 8 kg 995 g (d) 4 kg 780 g<br />
Challenge: Teacher check<br />
Viewing sample<br />
18 www.prim-ed.com Prim-Ed Publishing <strong>Primary</strong> <strong>Maths</strong>
MASS MEASUREMENTS<br />
M<br />
Measurement<br />
1. There are 1000 grams in 1 kilogram, so:<br />
(a) There are<br />
(b) There are<br />
(c) 250 grams equals<br />
(d) 5000 grams equals<br />
grams in ½ kilogram.<br />
grams in 2 kilograms.<br />
kilogram.<br />
kilograms.<br />
2. Write the weight shown on these kitchen scales.<br />
(a) (b) (c) (d)<br />
g g g g<br />
3. Solve these word problems and show your calculations.<br />
Problem<br />
(a) Sam is going to make 2 cakes, 1 loaf and<br />
1 dozen biscuits. He needs 250 g of flour<br />
for each cake, 275 g for the loaf and<br />
175 g for the biscuits. How much flour<br />
does he need altogether?<br />
(b) Poochy the poodle weighed 40 kg. The vet<br />
put him on a strict diet. He lost 3 kg, 4 kg<br />
and 2 kg each month over three months.<br />
What is Poochy’s weight now?<br />
4. Write these measurements in kilograms and grams.<br />
(a) 3.250 kg = 3 kg 250 g (b) 6.405 kg = kg g<br />
(c) 8.995 kg = kg g (d) 4.780 kg = kg g<br />
CHALLENGE<br />
Estimate and then measure the weight of a dictionary using balance scales<br />
and weights.<br />
¼<br />
5<br />
Solution<br />
500<br />
2000<br />
Viewing sample<br />
Estimate:<br />
Actual mass:<br />
Objective<br />
Measures, adds and subtracts mass.<br />
<strong>Primary</strong> <strong>Maths</strong> Prim-Ed Publishing www.prim-ed.com 19
M<br />
Measurement<br />
TEACHER INFORMATION<br />
MEASUREMENT<br />
Objective<br />
• Measure and compare capacity.<br />
Oral work and mental calculation<br />
• Use the vocabulary: full, empty, half-full, holds ... and<br />
comparative words; for example, fuller, fullest.<br />
• Know that: 1 litre = 1000 millilitres.<br />
• Order containers from smallest to largest capacity.<br />
• Sort a collection of containers according to whether<br />
they hold about 100 mL, 500 mL or 1 L.<br />
• Respond to questions; for example, What container<br />
holds about 500 mL? 1 L?<br />
Main teaching activity<br />
Litres (page 21)<br />
Additional activities suitable for developing<br />
the objective<br />
• Draw containers that have various capacities; for<br />
example, 100 mL, 500 mL and 1 L.<br />
• Sort a collection of containers from smallest to<br />
largest capacity. Measure the capacity of each<br />
container and write a label to say how much liquid<br />
each container holds.<br />
• Collect and display items of packaged drinks and<br />
other liquids. Use the information on the drink labels<br />
to arrange them in order from smallest to largest<br />
capacity, and vice versa.<br />
• Estimate and then check; What is the capacity of a<br />
bucket? Does a teapot hold 1 L, 10 L or 100 L?<br />
Answers<br />
1. Teacher check<br />
2. Teacher check<br />
3. Cream (300 mL), Fizz pop (375 mL),<br />
Choc milk (600 mL), Milk (2 L), Paint (4 L)<br />
Challenge: Teacher check<br />
Viewing sample<br />
20 www.prim-ed.com Prim-Ed Publishing <strong>Primary</strong> <strong>Maths</strong>
LITRES<br />
1. Estimate and then measure how many<br />
cups of water it takes to fill a 1-litre jug.<br />
M<br />
Measurement<br />
2. Find the actual containers shown below.<br />
Estimate and measure how many of the<br />
containers it takes to fill a 1-litre jug.<br />
3. Order these containers from 1 to 5 — 1<br />
being the least capacity and 5 being the<br />
greatest capacity.<br />
Viewing sample<br />
CHALLENGE<br />
Estimate and measure how many litres of water it would take to fill a bucket.<br />
Estimate:<br />
Measure:<br />
Objectives • Makes sensible estimates of capacity.<br />
• Orders containers according to estimates of capacity.<br />
<strong>Primary</strong> <strong>Maths</strong> Prim-Ed Publishing www.prim-ed.com 21
M<br />
Measurement<br />
TEACHER INFORMATION<br />
MEASUREMENT<br />
Objective<br />
• Measure and compare capacity.<br />
Oral work and mental calculation<br />
• Use the vocabulary: full, empty, half-full, holds ... and<br />
comparative words; for example, fuller, fullest.<br />
• Know that: 1 litre = 1000 millilitres.<br />
• Discuss whether it would be best to use millilitres or<br />
litres to measure the capacities of various containers;<br />
for example, an egg cup, a bathtub.<br />
• Suggest other containers whose capacities could be<br />
measured using millilitres or litres.<br />
• Measure the capacities of various containers using<br />
a variety of measuring jugs and beakers. Discuss the<br />
suitability of each measuring jug/container.<br />
Interactive whiteboard activity<br />
Interactive whiteboard activity available to support this<br />
copymaster. Visit www.prim-ed.com.<br />
Main teaching activity<br />
Litres and millilitres (page 23)<br />
Additional activities suitable for developing<br />
the objective<br />
• Draw containers that have various capacities; for<br />
example, 100 mL, 500 mL and 1 L.<br />
• Sort a collection of pictures of containers according<br />
to whether they need their capacities measuring in<br />
millilitres or litres.<br />
• Collect and display items of packaged drinks and<br />
other liquids. Use the information on the drink labels<br />
to arrange them in order from smallest to largest<br />
capacity, and vice versa.<br />
• Estimate and then check; What is the capacity of a<br />
bucket? Does a teapot hold 1 L, 10 L or 100 L?<br />
Answers<br />
1. Pop (250 mL), Tomato sauce (500 mL), Choc milk<br />
(600 mL), Yoghurt (1 L), Cordial (1.5 L), Milk (2 L),<br />
Juice (4 L), Paint (10 L)<br />
2. (a) L, 1 litre jug (b) mL, 100 mL beaker<br />
(c) L, 1 litre jug<br />
Challenge: Teacher check<br />
Viewing sample<br />
22 www.prim-ed.com Prim-Ed Publishing <strong>Primary</strong> <strong>Maths</strong>
LITRES AND MILLILITRES<br />
M<br />
Measurement<br />
There are 1000 millilitres in 1 litre.<br />
1. Order the capacity of these containers from the smallest to the largest.<br />
2. Tick to show the unit and measuring equipment you would use to measure the capacity<br />
of each container.<br />
CHALLENGE<br />
List three containers you would measure the capacity of in:<br />
(a) millilitres<br />
millilitres<br />
100 mL<br />
beaker<br />
millilitres<br />
100 mL<br />
beaker<br />
millilitres<br />
litres<br />
1 litre<br />
jug<br />
litres<br />
1 litre<br />
jug<br />
litres<br />
Viewing sample<br />
100 mL<br />
beaker<br />
1 litre<br />
jug<br />
(b) litres<br />
Objectives<br />
• Knows relationships between units of capacity. • Suggests suitable units and measuring equipment to measure capacity.<br />
<strong>Primary</strong> <strong>Maths</strong> Prim-Ed Publishing www.prim-ed.com 23
M<br />
Measurement<br />
TEACHER INFORMATION<br />
MEASUREMENT<br />
Objective<br />
• Measure and compare capacity.<br />
Oral work and mental calculation<br />
• Know that: 1 litre = 1000 millilitres and 1 ⁄ 2<br />
litre =<br />
500 millilitres.<br />
• Respond to questions; for example, What container<br />
has a capacity of about 1 ⁄ 2<br />
litre?<br />
• Practise reading scales on a variety of measuring jugs<br />
to the nearest half and whole unit.<br />
• Orally answer one-step measure problems; for<br />
example, One bottle contains 2 litres of coke, another<br />
2.5 litres of juice and a third 1.5 litres of orangeade.<br />
How many litres altogether?<br />
Interactive whiteboard activity<br />
Interactive whiteboard activity available to support this<br />
copymaster. Visit www.prim-ed.com.<br />
Main teaching activity<br />
Capacity measurements (page 25)<br />
Additional activities suitable for developing<br />
the objective<br />
• Draw containers that have various capacities; for<br />
example, 100 mL, 500 mL and 1 L.<br />
• Investigate how many cups of water will fill a litre<br />
jug.<br />
• Complete capacity word problems; for example, A<br />
medicine bottle holds 50 mL. A teaspoon holds 5 mL.<br />
How many teaspoons of medicine are in the bottle?<br />
Answers<br />
1. (a) 1 ⁄ 2<br />
(b) 3 (c) 750 (d) 2000<br />
2. (a) 150 mL (b) 800 mL (c) 300 mL (d) 1 L<br />
3. (a) 1900 mL (b) 50 mL<br />
4. (a) 6 L 565 mL (b) 9 L 450 mL<br />
(c) 1 L 995 mL (d) 4 L 25 mL<br />
Challenge: Teacher check<br />
Viewing sample<br />
24 www.prim-ed.com Prim-Ed Publishing <strong>Primary</strong> <strong>Maths</strong>
CAPACITY MEASUREMENTS<br />
M<br />
Measurement<br />
1. There are 1000 millilitres in 1 litre, so:<br />
(a) There are 500 millilitres in<br />
litre. 2000<br />
(b) There are 3000 millilitres in<br />
(c) ¾ litre equals<br />
(d) 2 litres equals<br />
millilitres.<br />
millilitres.<br />
litres.<br />
2. Write the amount shown on these jugs of water.<br />
(a) (b) (c) (d)<br />
mL mL mL mL<br />
3. Solve these word problems and show your calculations.<br />
4. Write these measurements in litres and millilitres.<br />
(a) 6.565 L = 6 L 565 mL (b) 9.450 L = L mL<br />
(c) 1.995 L = L mL (d) 4.025 L = L mL<br />
CHALLENGE<br />
<strong>PR</strong>OBLEM<br />
(a) Max drank 500 mL of juice, 450 mL of<br />
lemonade, 350 mL of milkshake and<br />
600 mL of water. Surprisingly, he wasn’t<br />
sick. How much did he drink altogether?<br />
(b) Kim drank 250 mL of coke and 350 mL<br />
of water on Monday. She drank 400 mL<br />
of milkshake and 250 mL of lemonade<br />
on Tuesday. How much more did she<br />
drink on Tuesday?<br />
SOLUTION<br />
750<br />
Viewing sample<br />
Estimate and then measure how many litres of water it would take to fill a large bucket.<br />
Estimate: litres Measure: litres<br />
3<br />
½<br />
Objective<br />
Measures, adds and subtracts capacity.<br />
<strong>Primary</strong> <strong>Maths</strong> Prim-Ed Publishing www.prim-ed.com 25
M<br />
Measurement<br />
TEACHER INFORMATION<br />
MEASUREMENT<br />
Objective<br />
• Measure the perimeter of simple 2-D shapes.<br />
Oral work and mental calculation<br />
• Use the vocabulary: perimeter, distance, edge,<br />
centimetres, metres.<br />
• Demonstrate how to measure the perimeter of a<br />
rectangle drawn onto squared paper.<br />
• Demonstrate how to measure the perimeter of a small<br />
object (e.g. book) using centimetres.<br />
• Answer verbal questions involving perimeters; for<br />
example, The perimeter of a square is 24 cm. What<br />
length is each side of the square? How long is the<br />
perimeter of a 4 cm x 5 cm rectangle?<br />
• Discuss and explain a short way to work out the<br />
perimeter of a rectangle.<br />
Main teaching activity<br />
Perimeter (page 27)<br />
Additional activities suitable for developing<br />
the objective<br />
• Estimate, measure and record the perimeters of<br />
plastic shapes using centimetres. Record results in a<br />
simple table.<br />
• Order perimeters from smallest to largest, and vice<br />
versa.<br />
• Draw around a square. Measure the perimeter<br />
in centimetres. Do the sides all have the same<br />
measurement? Repeat for regular triangles and<br />
perimeters.<br />
• Draw different rectangles onto squared paper.<br />
Measure the perimeters and write them into the<br />
middle of the shapes.<br />
• Draw two shapes with a perimeter of 16 cm. Which<br />
has the largest area?<br />
• Answer word problems involving perimeter; for<br />
example, A rectangular garden measures 15 m by 5<br />
m. How many metres of fencing are needed to totally<br />
enclose the garden?<br />
Answers<br />
1. (a) 12 cm (b) 9 cm<br />
(c) 17 cm (d) 12 cm<br />
2. Teacher check<br />
Challenge: Teacher check<br />
Viewing sample<br />
26 www.prim-ed.com Prim-Ed Publishing <strong>Primary</strong> <strong>Maths</strong>
PERIMETER<br />
M<br />
Measurement<br />
1. Estimate and measure the perimeter of the shapes below in centimetres.<br />
(a)<br />
(b)<br />
(c)<br />
Working with a partner, estimate and then measure the perimeter of the school field or hall, using<br />
a trundle wheel.<br />
Estimate: Between and m Measure: m<br />
Objective<br />
Estimate = cm Estimate = cm<br />
Measure = cm + cm + Measure = cm + cm +<br />
Estimates and measures the perimeter of shapes.<br />
cm + cm cm<br />
Perimeter = cm Perimeter = cm<br />
Estimate = cm Estimate = cm<br />
<strong>Primary</strong> <strong>Maths</strong> Prim-Ed Publishing www.prim-ed.com 27<br />
(d)<br />
Measure = cm + cm + Measure = cm + cm +<br />
cm + cm cm + cm<br />
Perimeter = cm Perimeter = cm<br />
2. Draw the following shapes.<br />
(a) A square with a perimeter of 12 cm.<br />
CHALLENGE<br />
(b) A rectangle with a perimeter of 12 cm.<br />
Viewing sample
M<br />
Measurement<br />
TEACHER INFORMATION<br />
MEASUREMENT<br />
Objective<br />
• Add amounts of money, using both £ and p in practical contexts.<br />
Oral work and mental calculation<br />
• Hold up coins and notes. Pupils say the name/value of<br />
the coin or note.<br />
• Show pictures of three coins or notes. Pupils add up<br />
their total value.<br />
• Respond to questions; for example,<br />
How many pence in £5.50?<br />
What is the total of two £1 coins and two 50p coins?<br />
Write 445p on the board, using the £ sign.<br />
• Exchange a note or coin for its equivalent in smaller<br />
notes and coins.<br />
Main teaching activity<br />
Money (page 29)<br />
Additional activities suitable for developing<br />
the objective<br />
• Write amounts in pounds as pence and vice versa; for<br />
example, write £3.05 as 305p.<br />
• Have a class shop, where the pupils can buy and sell<br />
goods and give change.<br />
• Role play situations using the class shop; for<br />
example,<br />
Peter has one 50p coin and three 20p coins. If he<br />
buys a 90p toy in the shop, how much money will he<br />
have left?<br />
• Order a selection of coins in order of value. Add their<br />
total.<br />
• Investigate which five coins make 77p, 60p etc.<br />
• Work out the least amount of coins you could use<br />
to buy a comic at 55p, a tennis ball at £1.30, a<br />
chocolate bar at 39p etc.<br />
• Look at retail catalogues. Spend a given amount, so<br />
you receive as little change as possible.<br />
Answers<br />
1. (a) £1.26 (b) £1.17 (c) £3.35<br />
2. (a) £2.00 (b) 525p (c) 50p, 5p, 1p<br />
(d) 650p (e) £5.00 note<br />
Challenge: Teacher check<br />
Viewing sample<br />
28 www.prim-ed.com Prim-Ed Publishing <strong>Primary</strong> <strong>Maths</strong>
MONEY<br />
M<br />
Measurement<br />
1. Add each group of coins and write the total.<br />
(a)<br />
(b)<br />
(c)<br />
Total =<br />
2. Draw lines to match the equivalent amounts.<br />
(a) • •<br />
(b) £5.25 • • 650p<br />
(c) 56p • • £2.00<br />
(d) £6.50 • • 525p<br />
(e) • •<br />
CHALLENGE<br />
On the back of this sheet, draw and label notes and coins to make the following<br />
amounts.<br />
(a) 26p (b) £1.60 (c) £5.03 (d) £25.82<br />
Objectives • Recognises and adds coins.<br />
Total =<br />
Total =<br />
Viewing sample<br />
• Understands £ and p notation.<br />
<strong>Primary</strong> <strong>Maths</strong> Prim-Ed Publishing www.prim-ed.com 29
M<br />
Measurement<br />
TEACHER INFORMATION<br />
MEASUREMENT<br />
Objective<br />
• Add amounts of money, using both £ and p in practical contexts.<br />
Oral work and mental calculation<br />
• Hold up coins and notes. Pupils say the name/value of<br />
the coin or note.<br />
• Show pictures of three coins or notes. Pupils add up<br />
their total value.<br />
• Respond to questions; for example,<br />
How many pence in £5.50?<br />
What is the total of two £1 coins and two 50p coins?<br />
Write 445p on the board, using the £ sign.<br />
• Exchange a note or coin for its equivalent in smaller<br />
notes and coins.<br />
Main teaching activity<br />
Equivalent coins (page 31)<br />
Additional activities suitable for developing<br />
the objective<br />
• Write amounts in pounds as pence and vice versa; for<br />
example, write £3.05 as 305p.<br />
• Have a class shop, where the pupils can buy and sell<br />
goods and give change.<br />
• Role play situations using the class shop; for example,<br />
Peter has one 50p coin and three 20p coins. If he buys<br />
a 90p toy in the shop, how much money will he have<br />
left?<br />
• Order a selection of coins in order of value. Add their<br />
total.<br />
• Investigate which five coins make 77p, 60p etc.<br />
• Work out the least amount of coins you could use to<br />
buy a comic at 55p, a tennis ball at £1.30, a chocolate<br />
bar at 39p etc.<br />
• Look at retail catalogues. Spend a given amount, so<br />
you receive as little change as possible.<br />
Answers<br />
1. (a) 5p, 5p<br />
(b) 20p, 20p, 10p and 20p, 10p, 10p, 10p<br />
(c) 5p, 5p, 5p, 5p and 10p, 10p<br />
(d) 50p, 20p, 20p, 10p and 20p, 20p, 20p, 20p, 20p<br />
(e) £1, £1 and 50p, 50p, 50p, 50p and £1, 50p, 20p,<br />
20p, 10p<br />
2. (a) 20p, 10p, 5p (b) 50p, 20p, 10p<br />
(c) £1, 50p, 20p, 5p<br />
Challenge: £2, £1, 50p, 10p<br />
Viewing sample<br />
30 www.prim-ed.com Prim-Ed Publishing <strong>Primary</strong> <strong>Maths</strong>
EQUIVALENT COINS<br />
M<br />
Measurement<br />
Equivalent means ‘equal to the same amount’.<br />
1. Colour the sets of coins that are equivalent to the first coin.<br />
2. Fill in the number on the coins to make these amounts.<br />
(a)<br />
(b)<br />
(c)<br />
35p<br />
80p<br />
Viewing sample<br />
£1.75<br />
CHALLENGE<br />
On the back of the sheet, draw and label the least amount of coins needed to make £3.60.<br />
Objective<br />
Recognises groups of coins that are equivalent in value to a given amount.<br />
<strong>Primary</strong> <strong>Maths</strong> Prim-Ed Publishing www.prim-ed.com 31
M<br />
Measurement<br />
TEACHER INFORMATION<br />
MEASUREMENT<br />
Objective<br />
• Add and subtract amounts of money to give change, using both £ and p in practical contexts.<br />
Oral work and mental calculation<br />
• Play ‘ Guess the coin’; for example,<br />
I am thinking of a coin. It is silver and worth less than<br />
10p. What is the coin?<br />
I am thinking of a coin. It is worth less than £1.00 but<br />
more than 20p. What is the coin?<br />
• Orally answer one-step money problems; for example,<br />
Totals: An apple costs 25p and a packet of crisps 35p.<br />
What is the total cost?<br />
Change: A magazine is £1.50. How much change will<br />
there be from £2.00?<br />
Coins: What is the least amount of coins that can be<br />
used to make 65p?<br />
• Encourage the pupils to explain how they worked out<br />
the answers.<br />
Interactive whiteboard activity<br />
Interactive whiteboard activity available to support this<br />
copymaster. Visit www.prim-ed.com.<br />
Main teaching activity<br />
Money word problems (page 33)<br />
Additional activities suitable for developing<br />
the objective<br />
• Order a selection of coins in order of value. Add their<br />
total.<br />
• Convert amounts in pounds to amounts in pence and<br />
vice versa; for example, change £1.25 to 125p.<br />
• Complete money word problems; for example,<br />
Totals: It costs £1.50 for one child to play tennis.<br />
How much does it cost for two children?<br />
Change: Sally buys three chocolate bars at 40p each.<br />
What change will she receive from £2.00?<br />
• Investigate which five coins make 77p, 60p etc.<br />
• Work out the least amount of coins you could use<br />
to buy a comic at 55p, a tennis ball at £1.30, a<br />
chocolate bar at 39p etc.<br />
• Look at retail catalogues. Spend a given amount, so<br />
you receive as little change as possible.<br />
Answers<br />
1. (a) £1.40, 60p (b) 90p, 10p (c) £1.80, 20p<br />
(d) 30p, 20p (e) £1.25, 25p (f) £1.70, 30p<br />
(g) £1.45, 55p (h) £1.70, 30p<br />
2. (a) 80p (b) £1.00<br />
(c) 3 - £1.00, 20p, 10p<br />
(d) £3.00, £2.00<br />
Challenge: (a) 70p, Teacher check<br />
(b) 25p, Teacher check<br />
Viewing sample<br />
32 www.prim-ed.com Prim-Ed Publishing <strong>Primary</strong> <strong>Maths</strong>
MONEY WORD <strong>PR</strong>OBLEMS<br />
M<br />
Measurement<br />
1. Look at the school canteen items pictured. Work out the cost and change given for<br />
each problem.<br />
How much would it cost to buy …<br />
(a) 2 muesli bars? £2.00<br />
(b) 2 cheese sticks? £1.00<br />
(c) 1 popcorn and 1 juice? £2.00<br />
(d) 3 liquorice sticks?<br />
(e) 1 juice and 1 cheese stick? £1.50<br />
(f) 1 popcorn and 1 muesli bar? £2.00<br />
(g) 1 cheese stick and 1 popcorn? £2.00<br />
(h) 1 muesli bar, 1 juice and 2 liquorice sticks? £2.00<br />
2. Solve these money word problems.<br />
(a) Matthew had £2.00. If he spent £1.20 on a pie,<br />
how much money did he have left?<br />
(b) Liz had £5.00. If she spent £4.00 on a new pencil<br />
case, how much money did she have left?<br />
(c) Mum bought a litre of milk for £1.30. What is<br />
the least amount of coins she could pay with?<br />
(d) If one roll costs 50p, how much will 6 rolls cost?<br />
How much change will you receive from £5.00?<br />
On the back of this sheet, write your own word problem for these sums.<br />
(a) 50p + 20p = (b) 80p – 55p =<br />
Objective<br />
Selects appropriate operations and methods to solve word problems involving money.<br />
Change from …<br />
Workings and answer<br />
Viewing sample<br />
CHALLENGE<br />
<strong>Primary</strong> <strong>Maths</strong> Prim-Ed Publishing www.prim-ed.com 33<br />
50p
M<br />
Measurement<br />
TEACHER INFORMATION<br />
MEASUREMENT<br />
Objectives<br />
• Tell and write the time from an analogue clock.<br />
• Estimate and read time with increasing accuracy to the nearest minute.<br />
Oral work and mental calculation<br />
• Use the vocabulary: o’clock, half past, quarter past,<br />
quarter to, five past, five to, analogue, digital.<br />
• Know that 1 hour = 60 minutes and 1 minute = 60<br />
seconds.<br />
• Practise reading the time on large analogue clocks.<br />
• Practise reading the time to the nearest minute on<br />
large digital clocks.<br />
• Look at the classroom clock at given times of the<br />
school day and read the time.<br />
Interactive whiteboard activity<br />
Interactive whiteboard activity available to support this<br />
copymaster. Visit www.prim-ed.com.<br />
Main teaching activity<br />
Analogue time (page 35)<br />
Additional activities suitable for developing<br />
the objectives<br />
• Write the time on drawings of analogue clocks.<br />
• Write the time to the nearest minute on drawings of<br />
digital clocks.<br />
• Match cards showing analogue times with cards<br />
showing digital times. Sort the cards according to<br />
whether they show an o’clock, half past etc. time<br />
or play ‘Snap’ to match each analogue time to its<br />
corresponding digital time.<br />
• Write/Say times in different formats; for example,<br />
7.55 could be written as 55 minutes past 7 or<br />
5 to 8.<br />
Answers<br />
1. Teacher check<br />
2. (a) 10 (b) 23 (c) 5 (d) 25<br />
(e) 17 (f) 11 (g) 5 (h) 4<br />
3. Teacher check<br />
Challenge: Teacher check<br />
Viewing sample<br />
34 www.prim-ed.com Prim-Ed Publishing <strong>Primary</strong> <strong>Maths</strong>
ANALOGUE TIME<br />
M<br />
Measurement<br />
All the times on the<br />
right-hand side of<br />
the clock are PAST<br />
and the times on the<br />
left are TO.<br />
1. Colour the PAST side<br />
blue and the TO side red.<br />
Write the missing times.<br />
2. Fill in the times shown on these clocks.<br />
CHALLENGE<br />
Using a clock face with moveable hands, work with a partner, taking it in turns to create<br />
and read different times on a clock.<br />
Objective<br />
past 4 minutes past 8 to 9 past 12<br />
minutes to 11 minutes past 6 quarter to minutes to 7<br />
3. Draw the times on these clock faces.<br />
Viewing sample<br />
8 minutes past 7 24 minutes to 9 16 minutes past 10 10 past 7<br />
Reads the time on analogue clocks.<br />
<strong>Primary</strong> <strong>Maths</strong> Prim-Ed Publishing www.prim-ed.com 35
M<br />
Measurement<br />
TEACHER INFORMATION<br />
MEASUREMENT<br />
Objective<br />
• Tell and write the time from an analogue clock, including using Roman numerals from I to XII.<br />
Oral work and mental calculation<br />
• Hold up a card with a Roman numeral written on it.<br />
Say as a number; for example, IV = 4.<br />
• Practise reading the time on large analogue clocks<br />
with Roman numerals.<br />
• Give half the class a card with a Roman numeral on<br />
it, and the other half a card with the corresponding<br />
modern numeral. Children have to find their match.<br />
Main teaching activity<br />
Roman numerals (page 37)<br />
Additional activities suitable for developing<br />
the objective<br />
• Match number cards 1 to 12 to cards with Roman<br />
numerals I to XII.<br />
• Complete simple addition and subtraction sums<br />
containing Roman numerals; for example, V + III =<br />
VIII<br />
• Search for images of Roman numerals on the<br />
Internet. Write a list of where they are found. Print<br />
off some images and create a collage.<br />
Answers<br />
1. I, II, III, IV, V, VI, VII, VIII, IX, X, XI, XII<br />
2. (a) VIII (b) X (c) IX<br />
(d) V (e) VIII (f) VI<br />
3. (a) 10 (b) 25<br />
(c) 8 (d) 3<br />
4. Teacher check<br />
Challenge: Teacher check<br />
Viewing sample<br />
36 www.prim-ed.com Prim-Ed Publishing <strong>Primary</strong> <strong>Maths</strong>
ROMAN NUMERALS<br />
M<br />
Measurement<br />
The Romans used a different number system to that used today, using letters from<br />
the Latin alphabet. Roman numerals are still used today and are often found on<br />
clocks and watches.<br />
1. Match the Roman numerals to the modern numerals.<br />
IV<br />
1<br />
CHALLENGE<br />
Find images of Roman numerals on the Internet. Print one and glue it on the back of this<br />
sheet.<br />
Objective<br />
II<br />
2<br />
VI<br />
2. Complete the Roman numeral sums, using Roman numerals.<br />
(a) III + V = (b) VI + IV = (c) VII + II =<br />
(d) XI – VI = (e) XII – IV = (f) X – IV =<br />
3. Write the time shown on these clocks.<br />
X XI XII I<br />
II<br />
IX<br />
III<br />
VIII IV<br />
VII<br />
VI<br />
V<br />
X XI XII I<br />
II<br />
IX<br />
III<br />
VIII IV<br />
VII<br />
VI<br />
V<br />
X XI XII I<br />
II<br />
IX<br />
III<br />
VIII IV<br />
VII<br />
VI<br />
V<br />
X XI XII I<br />
II<br />
IX<br />
III<br />
VIII IV<br />
VII<br />
VI<br />
V<br />
Knows Roman numerals to 12, and read them on a clock.<br />
X XI XII I<br />
II<br />
IX<br />
III<br />
VIII IV<br />
VII<br />
VI<br />
V<br />
X XI XII I<br />
II<br />
IX<br />
III<br />
VIII IV<br />
VII<br />
VI<br />
V<br />
X XI XII I<br />
II<br />
IX<br />
III<br />
VIII IV<br />
VII<br />
VI<br />
V<br />
past 5 to 11 minutes to 3 minutes past 7<br />
4. Draw the times on these clock faces.<br />
3<br />
VIII<br />
4<br />
I<br />
5<br />
X<br />
6<br />
X XI XII I<br />
II<br />
IX<br />
III<br />
VIII IV<br />
VII<br />
VI<br />
V<br />
12 minutes past 9 24 minutes past 3 18 minutes to 4 2 minutes to 10<br />
<strong>Primary</strong> <strong>Maths</strong> Prim-Ed Publishing www.prim-ed.com 37<br />
III<br />
Viewing sample<br />
7<br />
V<br />
8<br />
XII<br />
9<br />
VII<br />
10<br />
IX<br />
11<br />
XI<br />
12
M<br />
Measurement<br />
TEACHER INFORMATION<br />
MEASUREMENT<br />
Objectives<br />
• Tell and write the time from an analogue clock.<br />
• Estimate and read time with increasing accuracy to the nearest minute.<br />
• Use vocabulary such as o’clock and a.m./p.m.<br />
Oral work and mental calculation<br />
• Use the vocabulary: o’clock, half past, quarter past,<br />
quarter to, five past, five to, analogue, digital.<br />
• Know that 1 hour = 60 minutes and 1 minute = 60<br />
seconds.<br />
• Practise reading the time on large analogue clocks.<br />
• Practise reading the time to the nearest minute on<br />
large digital clocks.<br />
• Look at the classroom clock at given times of the<br />
school day and read the time.<br />
Main teaching activity<br />
Analogue and digital time (page 39)<br />
Additional activities suitable for developing<br />
the objectives<br />
• Write the time on drawings of analogue clocks.<br />
• Write the time to the nearest minute on drawings of<br />
digital clocks.<br />
• Match cards showing analogue times with cards<br />
showing digital times. Sort the cards according to<br />
whether they show an o’clock, half past etc. time<br />
or play ‘Snap’ to match each analogue time to its<br />
corresponding digital time.<br />
• Write/Say times in different formats; for example,<br />
7.55 could be written as 55 minutes past 7 or<br />
5 to 8.<br />
Answers<br />
1. (a) 9 o’clock, 9:00 (b) half past 4, 4:30<br />
(c) quarter past 12, 12:15 (d) quarter to 5, 4:45<br />
2. (a) Teacher check, 4:05 (b) Teacher check, 7:25<br />
(c) Teacher check, 12:45 (d) Teacher check, 10:40<br />
3. (a) 9.00 a.m. (b) 7.23 p.m.<br />
(c) 11.36 a.m.<br />
(d) 3.30 p.m.<br />
(e) 1.45 p.m.<br />
Challenge: (a) 1.00 p.m.<br />
(b) 5.35 a.m.<br />
(c) 2.18 p.m.<br />
Viewing sample<br />
38 www.prim-ed.com Prim-Ed Publishing <strong>Primary</strong> <strong>Maths</strong>
ANALOGUE AND DIGITAL TIME<br />
1. Write the analogue times and digital times shown on these clocks.<br />
M<br />
Measurement<br />
2. Draw the times on the clock faces and fill in the digital times.<br />
(a) (b) (c) (d)<br />
five past 4 twenty-five past 7 quarter to 1 twenty to 11<br />
3. Draw lines to match the times to the ‘What am I?’ clues.<br />
(a)<br />
I start<br />
school<br />
at this<br />
time.<br />
(b) I am one<br />
hour after<br />
6.23 p.m.<br />
(c) I am 2<br />
hours after<br />
9.36 a.m.<br />
(d) I finish<br />
school<br />
about this<br />
time.<br />
(e) I am 15<br />
minutes<br />
before<br />
2.00 p.m.<br />
3.30 p.m. 1.45 p.m. 9.00 a.m. 7.23 p.m. 11.36 a.m.<br />
CHALLENGE<br />
What time will it be three hours before these times?<br />
(a) 4 p.m. : p.m.<br />
(b) 8.35 a.m. : a.m.<br />
(c) 5.18 p.m. : p.m.<br />
Viewing sample<br />
Objective<br />
Reads and writes times in analogue and digital formats.<br />
<strong>Primary</strong> <strong>Maths</strong> Prim-Ed Publishing www.prim-ed.com 39
M<br />
Measurement<br />
TEACHER INFORMATION<br />
MEASUREMENT<br />
Objective<br />
• Tell and write the time from an analogue clock, including using 12-hour and 24-hour clocks.<br />
Oral work and mental calculation<br />
• Hold up a card with a 12-hour time written on it. Say<br />
it as a 24-hour time, and vice versa.<br />
• Practise reading 24-hour time on an analogue clock.<br />
• Give half the class a card with a 12-hour time on it,<br />
and the other half a card with the corresponding<br />
24-hour time. Children have to find their match.<br />
Main teaching activity<br />
24-hour time (page 41)<br />
Additional activities suitable for developing<br />
the objective<br />
• Order daily events; for example, get up, eat dinner, on<br />
a 24-hour timeline.<br />
• Match number cards with 12-hour times written on<br />
them to cards with 24-hour times.<br />
• Search for images of 24-hour clocks and times on the<br />
Internet. Write a list of where they are found. Print<br />
off some images and create a collage.<br />
• Answer questions about simple timetables written in<br />
24-hour time.<br />
Answers<br />
1. 9.20 a.m. = 09.20, 11.45 a.m. = 11.45,<br />
2.40 p.m. = 14.40, 6.15 p.m. = 18.15,<br />
10.10 p.m. = 22.10<br />
2. (a) 03.30 (b) 10.15 (c) 14.45<br />
(d) 17.20 (e) 21.35 (f) 23.45<br />
3. (a) 3.15 a.m., 03.15 (b) 5.50 p.m., 17.50<br />
(c) 8.35 a.m., 08:35 (d) 11.25 p.m., 23.25<br />
Challenge: Teacher check<br />
Viewing sample<br />
40 www.prim-ed.com Prim-Ed Publishing <strong>Primary</strong> <strong>Maths</strong>
24-HOUR TIME<br />
M<br />
Measurement<br />
When we use the 24-hour clock we do not need to write a.m. or p.m.<br />
1. Draw lines to match the 12-hour and 24-hour clock times.<br />
9.20 a.m. 11.45 a.m. 2.40 p.m. 6.15 p.m. 10.10 p.m.<br />
11.45 18.15 09.20 22.10 14.40<br />
2. Complete the following table.<br />
12-hour clock<br />
24-hour clock<br />
(a) 3.30 a.m. 03.30<br />
(b) 10.15 a.m.<br />
(c) 2.45 p.m.<br />
(d) 5.20 p.m.<br />
(e) 9.35 p.m.<br />
(f) 11.45 p.m.<br />
3. Write the time on each clock face in 12-hour and 24-hour time.<br />
Viewing sample<br />
12-hour a.m. 12-hour p.m. 12-hour a.m. 12-hour p.m.<br />
24-hour 24-hour 24-hour 24-hour<br />
CHALLENGE<br />
Write a list of places you might see 24-hour clocks or time.<br />
Objective Tells and writes the time using the 24-hour clock.<br />
<strong>Primary</strong> <strong>Maths</strong> Prim-Ed Publishing www.prim-ed.com 41
M<br />
Measurement<br />
TEACHER INFORMATION<br />
MEASUREMENT<br />
Objectives<br />
• Record and compare time in terms of seconds, minutes and hours.<br />
• Use vocabulary such as o’clock, a.m./p.m., morning, afternoon, noon and midnight.<br />
Oral work and mental calculation<br />
• Use the vocabulary: days of the week, months of the<br />
year, fortnight, minute, second, century, morning,<br />
afternoon, night, noon, midnight, a.m. and p.m.<br />
• Answer questions; for example, How many hours in<br />
one day? How many days/weeks in one fortnight?<br />
How many years in one century? How many seconds<br />
in one minute?<br />
• Discuss suitable units of time to measure the time:<br />
until the end of the day (hours), until Christmas (days/<br />
weeks/months), to write their name (seconds), to sing<br />
a song (minutes). Then complete the calculations.<br />
• List things that they do in the morning (a.m.),<br />
afternoon (p.m.) and evening (p.m.).<br />
Interactive whiteboard activity<br />
Interactive whiteboard activity available to support this<br />
copymaster. Visit www.prim-ed.com.<br />
Main teaching activity<br />
Describing time (page 43)<br />
Additional activities suitable for developing<br />
the objectives<br />
• Draw and label things that they do in the morning<br />
(a.m.), afternoon (p.m.) and evening (p.m.).<br />
• List things that it takes them seconds/minutes/hours/<br />
days/weeks/months/years to do.<br />
• Estimate and measure times; for example, how long<br />
does it take to brush hair? Change for PE? Run once<br />
around the field?<br />
• Make cards with equivalent times on them; for<br />
example, 1 day, 24 hours and 1 fortnight, 2 weeks and<br />
14 days.<br />
Turn all of the cards face down and spread them out.<br />
One pupil turns over one card and then turns over a<br />
second card. If the two cards have equivalent times<br />
on them then the pupil keeps them. If the cards do<br />
not have equivalent times on them then the cards<br />
are again placed face down and the game continues.<br />
The game continues until all the cards have been<br />
matched. The winner is the pupil with the most cards.<br />
Answers<br />
1. (a) p.m. (b) a.m. or p.m. (c) a.m.<br />
(d) p.m.<br />
2. (a) evening (b) morning (c) afternoon<br />
3. (a) 60 (b) 60 (c) 24<br />
(d) 7 (e) 12 (f) 52<br />
Challenge: Teacher check<br />
Viewing sample<br />
42 www.prim-ed.com Prim-Ed Publishing <strong>Primary</strong> <strong>Maths</strong>
DESCRIBING TIME<br />
M<br />
Measurement<br />
Time can be described in a variety of ways, such as a.m. (from 12 midnight to 12 midday)<br />
and p.m. (from 12 midday to 12 midnight) or as morning, afternoon and evening.<br />
1. Write a.m. or p.m. below these pictures of events.<br />
2. Write morning, afternoon or evening below these pictures.<br />
3. Complete the time sentences.<br />
(a) 1 minute = seconds (b) 1 hour = minutes<br />
Viewing sample<br />
(c) 1 day = hours (d) 1 week = days<br />
(e) 1 year = months (f) 1 year = weeks<br />
CHALLENGE<br />
On the back of this sheet, draw something you do in the a.m. and something you do in<br />
the p.m. at the weekend.<br />
Objectives<br />
• Uses vocabulary related to time.<br />
• Knows relationships between units of time.<br />
<strong>Primary</strong> <strong>Maths</strong> Prim-Ed Publishing www.prim-ed.com 43
M<br />
Measurement<br />
TEACHER INFORMATION<br />
MEASUREMENT<br />
Objectives<br />
• Estimate and read time with increasing accuracy.<br />
• Record and compare time in terms of seconds, minutes and hours.<br />
• Compare durations of events.<br />
Oral work and mental calculation<br />
• Use the vocabulary: days of the week, months of the<br />
year, fortnight, hour, minute, second, century, a.m.<br />
and p.m.<br />
• Answer questions; for example, How many hours in<br />
one day? How many days/weeks in one fortnight?<br />
How many years in one century? How many seconds<br />
in one minute?<br />
• Discuss suitable units of time to measure the time:<br />
until the end of the day (hours), until Christmas (days/<br />
weeks/months), to write their name (seconds), to sing<br />
a song (minutes). Then complete the calculations.<br />
• List things that it takes them different lengths of time<br />
to do; for example, a few minutes, half an hour, an<br />
hour, several hours.<br />
• Take notice of the time that different activities are<br />
started and finished and write them on the board; for<br />
example, assembly starts at 10:15 a.m. and finishes at<br />
10:30 a.m. Discuss the time intervals.<br />
Interactive whiteboard activity<br />
Interactive whiteboard activity available to support this<br />
copymaster. Visit www.prim-ed.com.<br />
Main teaching activity<br />
Periods of time (page 45)<br />
Additional activities suitable for developing<br />
the objectives<br />
• Draw and label things that it takes them different<br />
lengths of time to do; for example, a few minutes,<br />
half an hour, an hour, several hours.<br />
• Estimate and measure times; for example, how long<br />
does it take to brush hair? Change for PE? Run once<br />
around the field? Write the start and end times.<br />
• Estimate and then work out how many times they can<br />
jump/write their name/draw stars/count to 5 in one<br />
minute.<br />
• Make cards with equivalent times on them; for<br />
example, 1 day, 24 hours and 1 fortnight, 2 weeks and<br />
14 days.<br />
Turn all of the cards face down and spread them out.<br />
One pupil turns over one card and then turns over a<br />
second card. If the two cards have equivalent times<br />
on them then the pupil keeps them. If the cards do<br />
not have equivalent times on them then the cards<br />
are again placed face down and the game continues.<br />
The game continues until all the cards have been<br />
matched. The winner is the pupil with the most cards.<br />
Answers<br />
1. Answers will vary, but could include:<br />
(a) few minutes<br />
(b) few minutes/half an hour<br />
(c) half an hour<br />
(d) about an hour/more than an hour<br />
(e) few minutes/half an hour<br />
(f) few hours<br />
2. (a) 5 (b) 2 (c) 4<br />
(d) 1 (e) 6 (f) 3<br />
Challenge: Teacher check<br />
Viewing sample<br />
44 www.prim-ed.com Prim-Ed Publishing <strong>Primary</strong> <strong>Maths</strong>
PERIODS OF TIME<br />
M<br />
Measurement<br />
1. Estimate the time it takes to complete the tasks pictured below. Use words such as:<br />
few minutes half an hour less than an hour about an hour<br />
more than an hour<br />
a few hours<br />
2. Order these activities from taking the shortest time to taking the longest time (1 to 6).<br />
(a) school lunchtime<br />
(b) brushing teeth<br />
(c) school break<br />
(d) turning on a light<br />
(e) sleeping at night<br />
(f) getting dressed<br />
CHALLENGE<br />
Write what time you start and finish …<br />
(a) school (b) breaktime (c) lunchtime<br />
Viewing sample<br />
Objective Broadly estimates length of time taken to complete tasks.<br />
<strong>Primary</strong> <strong>Maths</strong> Prim-Ed Publishing www.prim-ed.com 45
M<br />
Measurement<br />
TEACHER INFORMATION<br />
MEASUREMENT<br />
Objectives<br />
• Estimate and read time with increasing accuracy.<br />
• Record and compare time in terms of seconds, minutes and hours.<br />
• Compare durations of events.<br />
Oral work and mental calculation<br />
• Use the vocabulary: days of the week, months of the<br />
year, fortnight, hour, minute, second, century, a.m.<br />
and p.m.<br />
• Answer questions; for example, How many hours in<br />
one day? How many days/weeks in one fortnight?<br />
How many years in one century? How many seconds<br />
in one minute?<br />
• Discuss suitable units of time to measure the time:<br />
until the end of the day (hours), until Christmas (days/<br />
weeks/months), to write their name (seconds), to sing<br />
a song (minutes). Then complete the calculations.<br />
• List things that it takes them different lengths of time<br />
to do; for example, a few minutes, half an hour, an<br />
hour, several hours.<br />
• Take notice of the time that different activities are<br />
started and finished and write them on the board; for<br />
example, assembly starts at 10:15 a.m. and finishes at<br />
10:30 a.m. Discuss the time intervals.<br />
Main teaching activity<br />
Estimating and classifying time (page 47)<br />
Additional activities suitable for developing<br />
the objectives<br />
• Draw and label things that it takes them different<br />
lengths of time to do; for example, a few minutes,<br />
half an hour, an hour, several hours.<br />
• Estimate and measure times; for example, how long<br />
does it take to brush hair? Change for PE? Run once<br />
around the field? Write the start and end times.<br />
• Estimate and then work out how many times they can<br />
jump/write their name/draw stars/count to 5 in one<br />
minute.<br />
Answers<br />
1. Answers will vary, but may include:<br />
(a) 1-2 seconds: sneezing, clapping your hands,<br />
saying your name<br />
(b) 5–10 minutes: drinking a glass of water, eating<br />
breakfast, getting dressed, brushing your hair<br />
(c) about half an hour: travelling to school, break at<br />
school, doing a jigsaw puzzle, drawing a picture<br />
(d) about 1 hour: lunchtime at school, playing with<br />
friends, maths lesson, doing homework<br />
(e) more than 1 hour: reading a book, watching a<br />
film, sleeping at night<br />
2. Teacher check<br />
Challenge: Teacher check<br />
Viewing sample<br />
46 www.prim-ed.com Prim-Ed Publishing <strong>Primary</strong> <strong>Maths</strong>
ESTIMATING AND CLASSIFYING TIME<br />
M<br />
Measurement<br />
1. Write these activities under the heading that says how long they take.<br />
drinking a glass of water eating breakfast reading a book<br />
travelling to school break at school lunchtime at school<br />
doing a jigsaw puzzle watching a film sneezing<br />
playing with friends drawing a picture getting dressed<br />
sleeping at night maths lesson brushing your hair<br />
clapping your hands doing homework saying your name<br />
(a) 1-2 seconds (b) about 5-10<br />
minutes<br />
(c) about half<br />
an hour<br />
2. Draw and describe something that takes you this long.<br />
(d) about 1<br />
hour<br />
(a) a few minutes (b) about an hour (c) a few hours<br />
(e) more than<br />
1 hour<br />
Viewing sample<br />
CHALLENGE<br />
Use the second hand on a clock to time how long it takes you to:<br />
Start time Finish time Total length of time<br />
(a) sharpen a pencil.<br />
(b) make a paper aeroplane.<br />
Objective Broadly estimates length of time taken to complete tasks.<br />
<strong>Primary</strong> <strong>Maths</strong> Prim-Ed Publishing www.prim-ed.com 47
M<br />
Measurement<br />
TEACHER INFORMATION<br />
MEASUREMENT<br />
Objective<br />
• Know the number of seconds in a minute and the number of days in each month, year and leap year.<br />
Oral work and mental calculation<br />
• Use the vocabulary: second, minute, hour, day, week,<br />
month, year, leap year, decade, names of months.<br />
• Know that 60 seconds = 1 minute, 60 seconds = 1<br />
hour, etc.<br />
• Hold up a card with a length of time written onto<br />
it. Match it to a card with an equivalent amount of<br />
time; for example, 12 months = 1 year, 366 days =<br />
1 leap year.<br />
• Recite the ’30 Days’ rhyme as a class.<br />
Main teaching activity<br />
Time facts (page 49)<br />
Additional activities suitable for developing<br />
the objective<br />
• Order lengths of time from shortest to longest, and<br />
vice versa.<br />
• Match time cards to cards with equivalent times; for<br />
example, 60 minutes = 1 hour, 7 days = 1 week.<br />
Answers<br />
1. (a) 60 (b) 60 (c) 24 (d) 7<br />
(e) 52 (f) 12 (g) 365<br />
2. (a) February<br />
(b) 7<br />
(c) January, March, May, July, August,<br />
October, December<br />
3. 365, 365.25, 4, 1, 28, 29, 366<br />
Challenge: 4 = 1st, 8 = 2nd, 12 = 3rd,<br />
16 = 4th, 20 = 5th<br />
Viewing sample<br />
48 www.prim-ed.com Prim-Ed Publishing <strong>Primary</strong> <strong>Maths</strong>
TIME FACTS<br />
M<br />
Measurement<br />
1. Complete the time sentences.<br />
7 12 24 52 60 60 365<br />
(a) There are seconds in one minute. (e) There are weeks in one year.<br />
(b) There are minutes in one hour. (f) There are months in one year.<br />
(c) There are hours in one day. (g) There are days in one year.<br />
(d) There are<br />
days in one week.<br />
2. Read the rhyme and answer the questions.<br />
(a) Which month is the shortest month?<br />
(b) How many months have 31 days?<br />
(c) Which months have 31 days?<br />
3. Complete the gaps in the paragraph.<br />
There are<br />
1 4 28 29 365 365.25 366<br />
days in the calendar year. However, the exact length of the year is<br />
actually days. To keep the calendar simple, every years there is a ‘leap<br />
year’. Each leap year gives February extra day, so instead of having days<br />
it has days. Leap years have days.<br />
CHALLENGE<br />
Sam was born on the 29th February. When he was 4 years old, he had his first official<br />
birthday. When he was 8 years old, he had his 2nd official birthday. Fill in the rest of his<br />
birthday information.<br />
Birthday 1st 2nd 3rd 4th 5th<br />
Age 4 8<br />
30 days have September<br />
April, June and November<br />
All the rest have 31<br />
Save February alone,<br />
Which has 28 days clear<br />
And 29 in a leap year.<br />
Viewing sample<br />
Objective<br />
Knows time facts.<br />
<strong>Primary</strong> <strong>Maths</strong> Prim-Ed Publishing www.prim-ed.com 49
G<br />
Geometry<br />
TEACHER INFORMATION<br />
<strong>PR</strong>OPERTIES OF SHAPES<br />
Objective<br />
• Draw 2-D shapes.<br />
Oral work and mental calculation<br />
• Use the correct names of 2-D shapes, including<br />
pentagon, hexagon, octagon, semi-circle and<br />
quadrilateral.<br />
• Extend vocabulary to include right angled, equal,<br />
curved, vertex, vertices, pentagonal, hexagonal,<br />
octagonal.<br />
• Classify 2-D shapes in the classroom; for example,<br />
Who can see an object that is a circle? a rectangle? a<br />
hexagon?<br />
• Play ‘What am I?’. Teacher says a description of a<br />
2-D shape and pupils have to name the shape; for<br />
example, I have four equal sides and angles, what am<br />
I?<br />
• Answer ‘yes’ or ‘no’ questions about a 2-D shape;<br />
for example, Does it have three sides? Does it have a<br />
curved side? Are all the sides equal lengths?<br />
Main teaching activity<br />
2-D shapes (page 51)<br />
Additional activities suitable for developing<br />
the objective<br />
• Sort 2-D shapes according to features; for example,<br />
the number of sides/corners or whether the sides are<br />
straight/curved.<br />
• Play the ‘feely-bag’ game, where blindfolded pupils<br />
have to identify a 2-D shape in a bag, using the sense<br />
of touch only.<br />
• Collect a range of quadrilaterals. Write a description<br />
for each one and then ask a partner to match each<br />
description to a quadrilateral.<br />
• Sort a set of 2-D shapes and display them on a Venn<br />
or Carroll diagram, according to their properties.<br />
• Follow instructions to draw shapes of exact sizes; for<br />
example, a square with 3 cm sides, a rectangle with<br />
sides of 2 cm and 5 cm.<br />
Answers<br />
1. (a) square, 4, 4 (b) triangle, 3, 3<br />
(c) hexagon, 6, 6 (d) circle, 1, 0<br />
(e) pentagon, 5, 5 (f) octagon, 8, 8<br />
(g) rectangle, 4, 4 (h) semi-circle, 2, 2<br />
2. Teacher check<br />
Challenge: Teacher check<br />
Viewing sample<br />
50 www.prim-ed.com Prim-Ed Publishing <strong>Primary</strong> <strong>Maths</strong>
2-D SHAPES<br />
G<br />
Geometry<br />
1. Name and describe these 2-D shapes:<br />
triangle circle square pentagon hexagon octagon rectangle semi-circle<br />
(a)<br />
(e)<br />
sides<br />
corners<br />
sides<br />
corners<br />
2. Draw these shapes.<br />
(b)<br />
(f)<br />
sides<br />
corners<br />
sides<br />
corners<br />
(a) triangle (b) semi-circle (c) pentagon<br />
(c)<br />
(g)<br />
sides<br />
corners<br />
sides<br />
corners<br />
Viewing sample<br />
(d)<br />
(h)<br />
sides<br />
corners<br />
sides<br />
corners<br />
CHALLENGE<br />
On the back of this sheet, draw:<br />
(a) a square with 4 cm sides.<br />
(b) a rectangle with 3 cm and 5 cm sides.<br />
Objective<br />
Identifies, describes, names and draws 2-D shapes.<br />
<strong>Primary</strong> <strong>Maths</strong> Prim-Ed Publishing www.prim-ed.com 51
G<br />
Geometry<br />
TEACHER INFORMATION<br />
<strong>PR</strong>OPERTIES OF SHAPES<br />
Objective<br />
• Draw 2-D shapes.<br />
Oral work and mental calculation<br />
• Use the correct names of 2-D shapes, including<br />
pentagon, hexagon, octagon, semi-circle and<br />
quadrilateral.<br />
• Extend vocabulary to include right angled, equal,<br />
curved, vertex, vertices, pentagonal, hexagonal,<br />
octagonal.<br />
• Classify 2-D shapes in the classroom; for example,<br />
Who can see an object that is a circle? a rectangle? a<br />
hexagon?<br />
• Play ‘What am I?’. Teacher says a description of a<br />
2-D shape and pupils have to name the shape; for<br />
example, I have four equal sides and angles, what am<br />
I?<br />
• Answer ‘yes’ or ‘no’ questions about a 2-D shape;<br />
for example, Does it have three sides? Does it have a<br />
curved side? Are all the sides equal lengths?<br />
Main teaching activity<br />
Drawing 2-D shapes (page 53)<br />
Additional activities suitable for developing<br />
the objective<br />
• Sort 2-D shapes according to features; for example,<br />
the number of sides/corners or whether the sides are<br />
straight/curved.<br />
• Play the ‘feely-bag’ game, where blindfolded pupils<br />
have to identify a 2-D shape in a bag, using the sense<br />
of touch only.<br />
• Collect a range of quadrilaterals. Write a description<br />
for each one and then ask a partner to match each<br />
description to a quadrilateral.<br />
• Sort a set of 2-D shapes and display them on a Venn<br />
or Carroll diagram, according to their properties.<br />
• Follow instructions to draw shapes of exact sizes; for<br />
example, a square with 3 cm sides, a rectangle with<br />
sides of 2 cm and 5 cm.<br />
Answers<br />
1. Teacher check<br />
2. (a) octagon (b) circle (c) square (d) triangle<br />
Challenge: Teacher check<br />
Viewing sample<br />
52 www.prim-ed.com Prim-Ed Publishing <strong>Primary</strong> <strong>Maths</strong>
DRAWING 2-D SHAPES<br />
G<br />
Geometry<br />
1. Trace and then use a ruler to copy these shapes.<br />
2. Read the description and then draw and name the shape.<br />
(a) 8 equal sides and 8 corners<br />
Name:<br />
(c) 4 equal sides and 4 corners with<br />
right angles<br />
(b) a continuous curved line with no corners<br />
Name:<br />
(d) 3 equal sides and 3 corners<br />
Name:<br />
Viewing sample<br />
Name:<br />
CHALLENGE<br />
On the back of the sheet, use your ruler to draw three different quadrilaterals.<br />
Objective<br />
Draws and names 2-D shapes.<br />
<strong>Primary</strong> <strong>Maths</strong> Prim-Ed Publishing www.prim-ed.com 53
G<br />
Geometry<br />
TEACHER INFORMATION<br />
<strong>PR</strong>OPERTIES OF SHAPES<br />
Objective<br />
• Make 3-D shapes using modelling materials.<br />
Oral work and mental calculation<br />
• Identify 3-D shapes in the classroom; for example, the<br />
box of tissues is a cube, the football is a sphere.<br />
• Go for a walk around the school and identify 3-D<br />
shapes in the environment; for example, the rubbish<br />
bin is a cylinder, the roof on the games shed is a<br />
triangular prism.<br />
Main teaching activity<br />
Making 3-D models (page 55)<br />
Additional activities suitable for developing<br />
the objective<br />
• Write a list of everyday objects that are common 3-D<br />
shapes; for example, a toilet roll, can of peas and<br />
tube of Smarties are all cylinders.<br />
• Look through magazines and make a collection of all<br />
the 3-D shapes that pupils can find in advertisements.<br />
• Use construction kits to build models of 3-D shapes.<br />
Count the number of faces, edges and vertices.<br />
• Use plastic or wooden 3-D shapes to construct a<br />
model of a house/spaceship. Keep a record of which<br />
shapes were used for each part of the model.<br />
• Investigate the different 3-D shapes that can be<br />
made by joining four interlocking cubes. Which pupil<br />
can find the most different shapes?<br />
Answers<br />
1. (a) 12 (b) 12 (c) 6<br />
(d) 8 (e) 18 (f) 15<br />
2. Teacher check<br />
Challenge: Teacher check<br />
Viewing sample<br />
54 www.prim-ed.com Prim-Ed Publishing <strong>Primary</strong> <strong>Maths</strong>
MAKING 3-D MODELS<br />
G<br />
Geometry<br />
1. Use toothpicks and plasticine to make these 3-D skeletal models.<br />
Write how many toothpicks you used to make the edges.<br />
2. Use toothpicks and plasticine to make these 2-D shapes. Draw them below.<br />
triangle<br />
rectangle<br />
square<br />
octagon<br />
Viewing sample<br />
CHALLENGE<br />
Explore and make different skeletal models using toothpicks and plasticine.<br />
Objective Builds skeletal 2-D and 3-D models using toothpicks and plasticine.<br />
<strong>Primary</strong> <strong>Maths</strong> Prim-Ed Publishing www.prim-ed.com 55
G<br />
Geometry<br />
TEACHER INFORMATION<br />
<strong>PR</strong>OPERTIES OF SHAPES<br />
Objective<br />
• Make 3-D shapes using modelling materials.<br />
Oral work and mental calculation<br />
• Identify 3-D shapes in the classroom; for example,<br />
the box of tissues is a cube, the football is a sphere.<br />
• Go for a walk around the school and identify 3-D<br />
shapes in the environment; for example, the rubbish<br />
bin is a cylinder, the roof on the games shed is a<br />
triangular prism.<br />
Main teaching activity<br />
Shapes and positions (page 57)<br />
Additional activities suitable for developing<br />
the objective<br />
• Write a list of everyday objects that are common 3-D<br />
shapes; for example, a toilet roll, can of peas and<br />
tube of Smarties are all cylinders.<br />
• Look through magazines and make a collection of all<br />
the 3-D shapes that pupils can find in advertisements.<br />
• Use construction kits to build models of 3-D shapes.<br />
Count the number of faces, edges and vertices.<br />
• Use plastic or wooden 3-D shapes to construct a<br />
model of a house/spaceship. Keep a record of which<br />
shapes were used for each part of the model.<br />
• Investigate the different 3-D shapes that can be<br />
made by joining four interlocking cubes. Which pupil<br />
can find the most different shapes?<br />
Answers<br />
1. (a) circle, rectangle (b) oval<br />
(c) square<br />
(d) triangle, circle<br />
(e) rectangle<br />
(f) triangle<br />
2. (a) square (b) circle<br />
(c) triangle<br />
(d) rectangle<br />
Challenge: rectangle, pentagon<br />
Viewing sample<br />
56 www.prim-ed.com Prim-Ed Publishing <strong>Primary</strong> <strong>Maths</strong>
SHAPES AND POSITIONS<br />
G<br />
Geometry<br />
1. Colour the shape or shapes you can see on these objects.<br />
2. Draw what 2-D shape you would see if you made a cross-section (cut them in half) in<br />
these 3-D shapes.<br />
Viewing sample<br />
CHALLENGE<br />
On the back of this sheet, draw the two shapes you would find on a pentagonal prism.<br />
Objective Identifies 2-D shapes found in 3-D shapes.<br />
<strong>Primary</strong> <strong>Maths</strong> Prim-Ed Publishing www.prim-ed.com 57
G<br />
Geometry<br />
TEACHER INFORMATION<br />
<strong>PR</strong>OPERTIES OF SHAPES<br />
Objective<br />
• Recognise 3-D shapes and describe them.<br />
Oral work and mental calculation<br />
• Use the correct names of 3-D shapes, including<br />
pyramid, prism and hemisphere.<br />
• Extend vocabulary to include right angled, equal,<br />
curved, vertex, vertices, pentagonal, hexagonal,<br />
octagonal.<br />
• Classify 3-D shapes in the classroom; for example,<br />
Who can see an object that is a cube? a sphere? a<br />
prism?<br />
• Play ‘What am I?’. Teacher says a description of a<br />
3-D shape and pupils have to name the shape; for<br />
example, I have five faces, two of which are triangles<br />
and three of which are rectangles, what am I?<br />
• Answer ‘yes’ or ‘no’ questions about a 3-D shape; for<br />
example, Does it have six faces? Are all the faces the<br />
same shape? Does it have five vertices?<br />
Main teaching activity<br />
3-D shapes (page 59)<br />
Additional activities suitable for developing<br />
the objective<br />
• Sort 3-D shapes according to features; for example,<br />
the number of faces/vertices/edges or whether the<br />
faces are straight/curved.<br />
• Play the ‘feely-bag’ game, where blindfolded pupils<br />
have to identify a 3-D shape in a bag, using the sense<br />
of touch only.<br />
• Collect a range of prisms. Write a description for each<br />
one and then ask a partner to match each description<br />
to a prism.<br />
• Sort a set of 3-D shapes and display them on a Venn<br />
or Carroll diagram, according to their properties.<br />
• Collect objects that are common 3-D shapes, label<br />
them and create a display.<br />
Answers<br />
1. (a) 12, 8, 6, rectangular prism<br />
(b) 8, 5, 5, square-based pyramid<br />
(c) 15, 10, 7, pentagonal prism<br />
(d) 9, 6, 5, triangular prism<br />
(e) 6, 4, 4, triangular-based pyramid<br />
(f) 12, 8, 6, cube<br />
2. Teacher check<br />
Challenge: Teacher check<br />
Viewing sample<br />
58 www.prim-ed.com Prim-Ed Publishing <strong>Primary</strong> <strong>Maths</strong>
3-D SHAPES<br />
G<br />
Geometry<br />
1. Name and describe these 3-D shapes.<br />
cube triangular prism pentagonal prism<br />
triangular-based pyramid square-based pyramid rectangular prism<br />
2. Trace to draw a cube.<br />
Viewing sample<br />
CHALLENGE<br />
Look around the classroom and name three places or objects where a cube can be found.<br />
(a) (b) (c)<br />
Objective<br />
Names and describes 3-D shapes using terms such as edges, vertices and faces.<br />
<strong>Primary</strong> <strong>Maths</strong> Prim-Ed Publishing www.prim-ed.com 59
G<br />
Geometry<br />
TEACHER INFORMATION<br />
<strong>PR</strong>OPERTIES OF SHAPES<br />
Objective<br />
• Recognise 3-D shapes and describe them.<br />
Oral work and mental calculation<br />
• Use the correct names of 3-D shapes, including<br />
pyramid, prism and hemisphere.<br />
• Extend vocabulary to include right angled, equal,<br />
curved, vertex, vertices, pentagonal, hexagonal,<br />
octagonal.<br />
• Classify 3-D shapes in the classroom; for example,<br />
Who can see an object that is a cube? a sphere? a<br />
prism?<br />
• Play ‘What am I?’. Teacher says a description of a<br />
3-D shape and pupils have to name the shape; for<br />
example, I have five faces, two of which are triangles<br />
and three of which are rectangles, what am I?<br />
• Answer ‘yes’ or ‘no’ questions about a 3-D shape; for<br />
example, Does it have six faces? Are all the faces the<br />
same shape? Does it have five vertices?<br />
Interactive whiteboard activity<br />
Interactive whiteboard activity available to support this<br />
copymaster. Visit www.prim-ed.com.<br />
Main teaching activity<br />
Comparing shapes (page 61)<br />
Additional activities suitable for developing<br />
the objective<br />
• Sort 3-D shapes according to features; for example,<br />
the number of faces/vertices/edges or whether the<br />
faces are straight/curved.<br />
• Play the ‘feely-bag’ game, where blindfolded pupils<br />
have to identify a 3-D shape in a bag, using the sense<br />
of touch only.<br />
• Collect a range of prisms. Write a description for each<br />
one and then ask a partner to match each description<br />
to a prism.<br />
• Sort a set of 3-D shapes and display them on a Venn<br />
or Carroll diagram, according to their properties.<br />
• Collect objects that are common 3-D shapes, label<br />
them and create a display.<br />
Answers<br />
1. (a) hexagonal prism, , 18 edges, 12 vertices, 6<br />
rectangular faces and 2 hexagonal faces<br />
(b) rectangular prism,<br />
6 rectangular faces<br />
, 12 edges, 8 vertices and<br />
(c) triangular prism, , 9 edges, 6 vertices, 2<br />
triangular faces and 3 rectangular faces<br />
(d) cube,<br />
(e) square-based pyramid,<br />
and 5 faces<br />
2. Teacher check<br />
Challenge: Teacher check<br />
, 12 edges, 8 vertices and 6 square faces<br />
, 8 edges, 5 vertices<br />
Viewing sample<br />
60 www.prim-ed.com Prim-Ed Publishing <strong>Primary</strong> <strong>Maths</strong>
COMPARING SHAPES<br />
M<br />
Measurement<br />
1. Draw lines to match the shape name with the shape and the description.<br />
(a) hexagonal prism • • 12 edges, 8 vertices and 6<br />
square faces<br />
(b) rectangular prism • • 18 edges, 12 vertices, 6<br />
rectangular faces and 2<br />
hexagonal faces<br />
(c) triangular prism • • 12 edges, 8 vertices and 6<br />
rectangular faces<br />
(d) cube • • 8 edges, 5 vertices and 5<br />
faces<br />
(e) square-based pyramid • • 9 edges, 6 vertices, 2<br />
triangular faces and 3<br />
rectangular faces<br />
2. Write the similarities and differences between the two shapes.<br />
Viewing sample<br />
CHALLENGE<br />
On the back of this sheet, write down the similarities and differences between a cylinder<br />
and a cone.<br />
Objectives • Identifies a 3-D shape from geometric clues.<br />
• Describes the similarities and differences between 3-D shapes.<br />
<strong>Primary</strong> <strong>Maths</strong> Prim-Ed Publishing www.prim-ed.com 61
G<br />
Geometry<br />
TEACHER INFORMATION<br />
<strong>PR</strong>OPERTIES OF SHAPES<br />
Objective<br />
• Recognise 3-D shapes and describe them.<br />
Oral work and mental calculation<br />
• Use the correct names of 2-D and 3-D shapes.<br />
• Extend vocabulary to include right angled, equal,<br />
curved, vertex, vertices, pentagonal, hexagonal,<br />
octagonal.<br />
• Play ‘What am I?’. Teacher says a description of<br />
a prism and pupils have to name the prism; for<br />
example, I have five faces, two of which are triangles<br />
and three of which are rectangles, what am I?<br />
• Answer ‘yes’ or ‘no’ questions about a prism; for<br />
example, Does it have eight faces? Are six faces<br />
rectangular? Are the two end faces triangular?<br />
Main teaching activity<br />
Prisms (page 63)<br />
Additional activities suitable for developing<br />
the objective<br />
• Sort prisms according to features; for example, the<br />
number of faces/vertices/edges or what shape the<br />
two end faces are.<br />
• Play the ‘feely-bag’ game, where blindfolded pupils<br />
have to identify a prism in a bag, using the sense of<br />
touch only.<br />
• Sort a set of prisms and display them on a Venn or<br />
Carroll diagram, according to their properties.<br />
• Collect objects that are prisms, label them and create<br />
a display.<br />
• Investigate cross-sections of prisms.<br />
Answers<br />
1. (a) pentagon (b) rectangle<br />
(c) triangle<br />
(d) octagon<br />
(e) hexagon<br />
2. (a) rectangular (b) triangular<br />
(c) hexagonal<br />
Challenge: 5, 9, 6<br />
Viewing sample<br />
62 www.prim-ed.com Prim-Ed Publishing <strong>Primary</strong> <strong>Maths</strong>
<strong>PR</strong>ISMS<br />
There are different types of prisms. Each is named according to<br />
its 2-D shape, which can be found on each end.<br />
G<br />
Geometry<br />
1. Draw lines to match the name with the prism and the 2-D shape<br />
which can be found on each end.<br />
(a)<br />
(b)<br />
(c)<br />
(d)<br />
(e)<br />
2. Name these prisms. Look at the 2-D shape on each end to help you.<br />
(a) (b) (c)<br />
Describe a triangular prism.<br />
How many faces? edges? vertices?<br />
Objective<br />
pentagonal prism<br />
rectangular prism<br />
triangular prism<br />
octagonal prism<br />
hexagonal prism<br />
octagon<br />
hexagon<br />
rectangle<br />
triangle<br />
pentagon<br />
Viewing sample<br />
CHALLENGE<br />
Identifies/Describes prisms and their corresponding 2-D shapes.<br />
<strong>Primary</strong> <strong>Maths</strong> Prim-Ed Publishing www.prim-ed.com 63
G<br />
Geometry<br />
TEACHER INFORMATION<br />
<strong>PR</strong>OPERTIES OF SHAPES<br />
Objective<br />
• Recognise 3-D shapes in different orientations and describe them.<br />
Oral work and mental calculation<br />
• Use the correct names of 2-D and 3-D shapes.<br />
• Extend vocabulary to include right angled, equal,<br />
curved, vertex, vertices, pentagonal, hexagonal,<br />
octagonal.<br />
• Classify 2-D and 3-D shapes in the classroom.<br />
• Play ‘What am I?’. Teacher says a description of a 2-D<br />
or 3-D shape and pupils have to name the shape; for<br />
example, I have five faces, two of which are triangles<br />
and three of which are rectangles, what am I?<br />
• Answer ‘yes’ or ‘no’ questions about a 2-D or 3-D<br />
shape; for example, Does it have six sides? Are all the<br />
faces the same shape? Does it have five vertices?<br />
Main teaching activity<br />
What am I? (page 65)<br />
Additional activities suitable for developing<br />
the objective<br />
• Sort 2-D and 3-D shapes according to features;<br />
for example, the number of faces/vertices/edges or<br />
whether the faces are straight/curved.<br />
• Play the ‘feely-bag’ game, where blindfolded pupils<br />
have to identify a 2-D or 3-D shape in a bag, using<br />
the sense of touch only.<br />
• Sort a set of 2-D or 3-D shapes and display them<br />
on a Venn or Carroll diagram, according to their<br />
properties.<br />
• Collect objects that are common 2-D or 3-D shapes,<br />
label them and create a display.<br />
Answers<br />
1. (a) cube<br />
(b) rectangular prism<br />
(c) pyramid<br />
(d) triangular prism<br />
(e) pentagonal prism<br />
(f) cylinder<br />
2. Teacher check<br />
Challenge: Teacher check<br />
Viewing sample<br />
64 www.prim-ed.com Prim-Ed Publishing <strong>Primary</strong> <strong>Maths</strong>
WHAT AM I?<br />
G<br />
Geometry<br />
1. Match the clue to the shape/object by colouring them the same colour.<br />
(a) I am 3-dimensional with<br />
12 edges, 8 vertices and<br />
6 square faces.<br />
(c) I am 3-dimensional with<br />
8 edges, 5 vertices and 5<br />
faces.<br />
(e) I am 3-dimensional with<br />
15 edges, 10 vertices<br />
and 7 faces. My faces<br />
are 5 rectangles and 2<br />
pentagons.<br />
Write your own ‘What am I?’ for a 3-D shape of your choice.<br />
I am<br />
(b) I am 3-dimensional<br />
with 12 edges,<br />
8 vertices and 6<br />
rectangular faces.<br />
(d) I am 3-dimensional<br />
with 9 edges, 6 vertices<br />
and 5 faces. The<br />
faces on each end are<br />
triangles.<br />
(f) I am 3-dimensional and<br />
can be stacked. I have a<br />
circle at each end and a<br />
rolled-up rectangle in<br />
the middle.<br />
Viewing sample<br />
CHALLENGE<br />
Objective<br />
Identifies 3-D shapes from geometric clues.<br />
<strong>Primary</strong> <strong>Maths</strong> Prim-Ed Publishing www.prim-ed.com 65
G<br />
Geometry<br />
TEACHER INFORMATION<br />
<strong>PR</strong>OPERTIES OF SHAPES<br />
Objective<br />
• Recognise 3-D shapes in different orientations.<br />
Oral work and mental calculation<br />
• Identify 3-D shapes in the classroom; for example, the<br />
box of tissues is a cube, the football is a sphere.<br />
• Go for a walk around the school and identify 3-D<br />
shapes in the environment; for example, the rubbish<br />
bin is a cylinder, the roof on the games shed is a<br />
triangular prism.<br />
Interactive whiteboard activity<br />
Interactive whiteboard activity available to support this<br />
copymaster. Visit www.prim-ed.com.<br />
Main teaching activity<br />
3-D shapes and pictures (page 67)<br />
Additional activities suitable for developing<br />
the objective<br />
• Write a list of everyday objects that are common 3-D<br />
shapes; for example, a toilet roll, can of peas and<br />
tube of Smarties are all cylinders.<br />
• Look through magazines and make a collection of all<br />
the 3-D shapes that pupils can find in advertisements.<br />
• Use construction kits to build models of 3-D shapes.<br />
Count the number of faces, edges and vertices.<br />
• Use plastic or wooden 3-D shapes to construct a<br />
model of a house/spaceship. Keep a record of which<br />
shapes were used for each part of the model.<br />
• Investigate the different 3-D shapes that can be<br />
made by joining four interlocking cubes. Which pupil<br />
can find the most different shapes?<br />
Answers<br />
1. Teacher check<br />
2. Teacher check<br />
3. Rectangular prisms: 2, cylinders: 4,<br />
pyramids: 3, cones: 1<br />
Challenge: Teacher check<br />
Viewing sample<br />
66 www.prim-ed.com Prim-Ed Publishing <strong>Primary</strong> <strong>Maths</strong>
3-D SHAPES AND PICTURES<br />
G<br />
Geometry<br />
1. Trace and then draw these 3-D shapes.<br />
2. Use the above 3-D shapes to draw a house<br />
made up of a cube and a square pyramid.<br />
3. Identify and colour the different 3-D<br />
shapes in the picture.<br />
How many …<br />
rectangular prisms?<br />
cylinders?<br />
pyramids? cones?<br />
CHALLENGE<br />
On the back of this sheet, draw your own robot made from different 3-D shapes.<br />
Viewing sample<br />
Objective Recognises 3-D shapes in different orientations.<br />
<strong>Primary</strong> <strong>Maths</strong> Prim-Ed Publishing www.prim-ed.com 67
G<br />
Geometry<br />
TEACHER INFORMATION<br />
<strong>PR</strong>OPERTIES OF SHAPES<br />
Objectives<br />
• Make 3-D shapes using modelling materials.<br />
• Recognise 3-D shapes and describe them.<br />
Oral work and mental calculation<br />
• Use the correct names of 2-D and 3-D shapes.<br />
• Extend vocabulary to include right angled, equal,<br />
curved, vertex, vertices, pentagonal, hexagonal,<br />
octagonal.<br />
• Classify 2-D and 3-D shapes in the classroom.<br />
• Play ‘What am I?’. Teacher says a description of a 2-D<br />
or 3-D shape and pupils have to name the shape; for<br />
example, I have five faces, two of which are triangles<br />
and three of which are rectangles, what am I?<br />
• Answer ‘yes’ or ‘no’ questions about a 2-D or 3-D<br />
shape; for example, Does it have six sides? Are all the<br />
faces the same shape? Does it have five vertices?<br />
Main teaching activity<br />
2-D shapes in 3-D shapes (page 69)<br />
Additional activities suitable for developing<br />
the objectives<br />
• Sort 2-D and 3-D shapes according to features;<br />
for example, the number of faces/vertices/edges or<br />
whether the faces are straight/curved.<br />
• Play the ‘feely-bag’ game, where blindfolded pupils<br />
have to identify a 2-D or 3-D shape in a bag, using<br />
the sense of touch only.<br />
• Sort a set of 2-D or 3-D shapes and display them<br />
on a Venn or Carroll diagram, according to their<br />
properties.<br />
• Collect objects that are common 2-D or 3-D shapes,<br />
label them and create a display.<br />
Answers<br />
1. (a) square (b) rectangle<br />
(c) rectangle, circle (d) rectangular prism<br />
(e) rectangle, triangle (f) circle<br />
2. (a) 6 (b) 4 (c) 2, 1<br />
Challenge: Teacher check<br />
Viewing sample<br />
68 www.prim-ed.com Prim-Ed Publishing <strong>Primary</strong> <strong>Maths</strong>
2-D SHAPES IN 3-D SHAPES<br />
1. Colour the 2-D shape(s) that you can see on the 3-D shape.<br />
G<br />
Geometry<br />
2. How many 2-D shapes does it take to make these 3-D shapes?<br />
(a) cube: squares (b) triangular pyramid: triangles<br />
(c) cylinder: circles and rectangle<br />
CHALLENGE<br />
Using card, cut out four triangles of the same size and a square. Tape them together and<br />
write the shape you made.<br />
Objective<br />
Viewing sample<br />
Identifies 2-D shapes found as faces on 3-D shapes and makes 3-D shapes.<br />
<strong>Primary</strong> <strong>Maths</strong> Prim-Ed Publishing www.prim-ed.com 69
G<br />
Geometry<br />
TEACHER INFORMATION<br />
<strong>PR</strong>OPERTIES OF SHAPES<br />
Objectives<br />
• Make 3-D shapes using modelling materials.<br />
• Recognise 3-D shapes in different orientations.<br />
Oral work and mental calculation<br />
• Use the correct names of 2-D and 3-D shapes.<br />
• Extend vocabulary to include right angled, equal,<br />
curved, vertex, vertices, pentagonal, hexagonal,<br />
octagonal.<br />
• Classify 2-D and 3-D shapes in the classroom.<br />
• Play ‘What am I?’. Teacher says a description of a 2-D<br />
or 3-D shape and pupils have to name the shape; for<br />
example, I have five faces, two of which are triangles<br />
and three of which are rectangles, what am I?<br />
• Answer ‘yes’ or ‘no’ questions about a 2-D or 3-D<br />
shape; for example, Does it have six sides? Are all the<br />
faces the same shape? Does it have five vertices?<br />
Main teaching activity<br />
Making 3-D shapes (page 71)<br />
Additional activities suitable for developing<br />
the objectives<br />
• Sort 2-D and 3-D shapes according to features;<br />
for example, the number of faces/vertices/edges or<br />
whether the faces are straight/curved.<br />
• Play the ‘feely-bag’ game, where blindfolded pupils<br />
have to identify a 2-D or 3-D shape in a bag, using<br />
the sense of touch only.<br />
• Sort a set of 2-D or 3-D shapes and display them on a<br />
Venn or Carroll diagram, according to their properties.<br />
• Collect objects that are common 2-D or 3-D shapes,<br />
label them and create a display.<br />
• Make 3-D shapes using an assortment of modelling<br />
materials; for example, plasticine, Play Doh,<br />
matchsticks and straws.<br />
Answers<br />
1. (a) sphere (b) cube (c) hemisphere<br />
(d) rectangular prism (e) cone<br />
(f) square-based pyramid (g) triangular prism<br />
(h) cylinder<br />
(i) triangular-based pyramid<br />
(j) pentagonal prism<br />
2.-3. Teacher check<br />
Challenge: Teacher check<br />
Viewing sample<br />
70 www.prim-ed.com Prim-Ed Publishing <strong>Primary</strong> <strong>Maths</strong>
MAKING 3-D SHAPES<br />
G<br />
Geometry<br />
1. Look at the 3-D shapes. Write their names underneath.<br />
(a) (b) (c) (d)<br />
(e) (f) (g) (h)<br />
(i)<br />
2. Make models of the above shapes using plasticine.<br />
(a) Which shape was the easiest to make?<br />
(b) Which shape was the hardest to make?<br />
(j)<br />
cone<br />
triangular-based<br />
pyramid<br />
cylinder<br />
sphere<br />
square-based<br />
pyramid<br />
hemisphere<br />
cube<br />
pentagonal prism<br />
rectangular prism<br />
triangular prism<br />
3. Create an object using your shapes; for example, a house or a robot. Draw your object<br />
here.<br />
Viewing sample<br />
CHALLENGE<br />
Using straws and plasticine, make a cube.<br />
Objective<br />
Makes 3-D shapes using modelling materials.<br />
<strong>Primary</strong> <strong>Maths</strong> Prim-Ed Publishing www.prim-ed.com 71
G<br />
Geometry<br />
TEACHER INFORMATION<br />
<strong>PR</strong>OPERTIES OF SHAPES<br />
Objectives<br />
• Recognise angles as a property of shape.<br />
• Identify right angles.<br />
• Identify whether angles are greater or less than a right angle.<br />
Oral work and mental calculation<br />
• Use the vocabulary: right angle, straight line, 90°,<br />
180°, smaller angle than, greater angle than.<br />
• Follow instructions; for example, Face north and turn<br />
to the left through one right angle.<br />
• Look for right angles and straight line angles in the<br />
classroom.<br />
• Use geo-strips to demonstrate angles of different<br />
sizes.<br />
Main teaching activity<br />
Common angles (page 73)<br />
Additional activities suitable for developing<br />
the objectives<br />
• Sort 2-D shapes according to whether they have right<br />
angles.<br />
• Use a set-square to find right angles in the classroom.<br />
Write a list of right angles found.<br />
• Use two geo-strips to make right angles, straight line<br />
angles, angles smaller than a right angle and angles<br />
greater than a right angle.<br />
• Look at an assortment of angles. Sort them into two<br />
groups; angles which are smaller than a right angle<br />
and angles which are larger.<br />
• Draw and label classroom objects that have right<br />
angles.<br />
Answers<br />
1. 4<br />
2. Teacher check<br />
3. Teacher check<br />
Challenge: Teacher check<br />
Viewing sample<br />
72 www.prim-ed.com Prim-Ed Publishing <strong>Primary</strong> <strong>Maths</strong>
COMMON ANGLES<br />
G<br />
Geometry<br />
An angle can be found where two lines meet.<br />
The right angle (90 0 ) is the most common angle used. The 180 0 angle is a straight<br />
line and is equivalent to two right angles.<br />
Angles are measured by the amount of space between the lines.<br />
1. Draw the angles on the square.<br />
How many right angles<br />
are there on a square?<br />
2. Name and draw three right angles you can see in the classroom.<br />
3. Name and draw three 180 0 angles you can see in the classroom.<br />
Viewing sample<br />
CHALLENGE<br />
How many right angles can you find in the classroom?<br />
How many 180º angles can you find?<br />
Objective<br />
Identifies and draws 90º and 180º angles in the environment.<br />
<strong>Primary</strong> <strong>Maths</strong> Prim-Ed Publishing www.prim-ed.com 73
G<br />
Geometry<br />
TEACHER INFORMATION<br />
<strong>PR</strong>OPERTIES OF SHAPES<br />
Objectives<br />
• Recognise angles as a property of shape.<br />
• Identify right angles.<br />
Oral work and mental calculation<br />
• Know what a right angle is and that it is a quarter<br />
turn.<br />
• Look for right angles around the classroom and<br />
recognise that they are corners.<br />
• Recognise and count right angles in squares and<br />
rectangles.<br />
• Use geo-strips to demonstrate right angles.<br />
• Practise turning in PE; for example, turn one quarter<br />
turn (or one right angle) to the left, turn three quarter<br />
turns (or three right angles) to the right.<br />
• Move a toy windmill through right angles. Discuss<br />
how many right angles are the same as a quarter, half<br />
and full turn.<br />
Main teaching activity<br />
Right angles (page 75)<br />
Additional activities suitable for developing<br />
the objectives<br />
• Fold paper to make a right angle.<br />
• Mark right angles on squares and rectangles.<br />
• Use a geo-strip or paper right angle to find right<br />
angles around the classroom.<br />
• Draw and/or list classroom objects that have right<br />
angles.<br />
Answers<br />
1. (a) 4 (b) 0 (c) 0<br />
(d) 4 (e) 2 (f) 2<br />
2. (a) yes (b) no (c) yes<br />
(d) yes (e) no (f) yes<br />
(g) no (h) no (i) no<br />
Challenge: Teacher check<br />
Viewing sample<br />
74 www.prim-ed.com Prim-Ed Publishing <strong>Primary</strong> <strong>Maths</strong>
RIGHT ANGLES<br />
G<br />
Geometry<br />
1. Count how many right angles are in these shapes.<br />
(a) = (b) =<br />
(c) = (d) =<br />
(e) = (f) =<br />
2. Look at the following objects in your classroom. Colour yes or no to show whether they<br />
have right angles.<br />
(a) (b) (c)<br />
yes no yes no yes no<br />
(d) (e) (f)<br />
yes no yes no yes no<br />
(g) (h) (i)<br />
Viewing sample<br />
CHALLENGE<br />
yes no yes no yes no<br />
Write the names of three more classroom objects that have right angles.<br />
(a) (b) (c)<br />
Objective<br />
Recognises right angles in 2-D shapes and everyday objects.<br />
<strong>Primary</strong> <strong>Maths</strong> Prim-Ed Publishing www.prim-ed.com 75
G<br />
Geometry<br />
TEACHER INFORMATION<br />
<strong>PR</strong>OPERTIES OF SHAPES<br />
Objectives<br />
• Recognise angles as a property of shape or a description of a turn.<br />
• Identify right angles, recognise that two right angles make a half-turn.<br />
• Identify whether angles are greater than or less than a right angle.<br />
Oral work and mental calculation<br />
• Use the vocabulary: right angle, straight line, 90°,<br />
180°, smaller angle than, greater angle than.<br />
• Follow instructions; for example, Face north and turn<br />
to the left through one right angle.<br />
• Look for right angles and straight line angles in the<br />
classroom.<br />
• Use geo-strips to demonstrate angles of different<br />
sizes.<br />
Main teaching activity<br />
Ordering angles (page 77)<br />
Additional activities suitable for developing<br />
the objectives<br />
• Sort 2-D shapes according to whether they have right<br />
angles.<br />
• Use a set-square to find right angles in the classroom.<br />
Write a list of right angles found.<br />
• Use two geo-strips to make right angles, straight line<br />
angles, angles smaller than a right angle and angles<br />
greater than a right angle.<br />
• Look at an assortment of angles. Sort them into two<br />
groups; angles which are smaller than a right angle<br />
and angles which are larger.<br />
• Draw and label classroom objects that have right<br />
angles.<br />
Answers<br />
1. The following angles should be matched: (a) and (g),<br />
(b) and (d), (c) and (h) and (e) and (f). The following<br />
angles should be circled: (a) and (g).<br />
2. (a) 2 (b) 5 (c) 3<br />
(d) 6 (e) 1 (f) 4<br />
Angle (c) should be circled.<br />
Challenge: Teacher check<br />
Viewing sample<br />
76 www.prim-ed.com Prim-Ed Publishing <strong>Primary</strong> <strong>Maths</strong>
ORDERING ANGLES<br />
G<br />
Geometry<br />
1. Colour the same angles the same colour. Circle the two right angles.<br />
2. Order these angles from the smallest to the largest (1 = smallest, 6 = largest). Circle the<br />
right angle.<br />
Viewing sample<br />
CHALLENGE<br />
The two hands on a clock show different angles at different times. On the back of this<br />
sheet, draw two clock faces, the first showing the hands at a right angle time and the<br />
second showing the hands at a 180º time.<br />
Objective<br />
Identifies and orders angles according to size.<br />
<strong>Primary</strong> <strong>Maths</strong> Prim-Ed Publishing www.prim-ed.com 77
G<br />
Geometry<br />
Viewing sample
RECOGNISING ANGLES<br />
G<br />
Geometry<br />
1. Look at the picture below and locate these angles.<br />
(a) Trace over the right angles (90°) in red.<br />
(b) Trace over the 180 0 angles in green.<br />
(c) Trace over any angles smaller than 90° in blue.<br />
(d) Trace over any angles greater than 90° in orange.<br />
2. Draw these pictures using the correct angles.<br />
(a) a TV screen with (b) a table top with a (c) a stapler showing an<br />
four right angles 180° angle angle smaller than 90°<br />
Viewing sample<br />
CHALLENGE<br />
On the back of this sheet, name and draw three angles in the classroom that are right<br />
angles (90º).<br />
Objective<br />
Recognises and draws angles in the environment.<br />
<strong>Primary</strong> <strong>Maths</strong> Prim-Ed Publishing www.prim-ed.com 79
G<br />
Geometry<br />
TEACHER INFORMATION<br />
Objectives<br />
• Recognise angles as a description of a turn.<br />
Oral work and mental calculation<br />
• Use the vocabulary: clockwise, anticlockwise, right<br />
angle, 90˚, 180˚, 360˚, quarter turn, half turn, whole<br />
turn, degree.<br />
• Follow instructions; for example, Face north and turn<br />
clockwise through one right angle or 90˚. Which<br />
direction are you facing?<br />
• Look at a large-format analogue clock. Turn the<br />
big hand in different directions; for example,<br />
anticlockwise for 180˚.<br />
• Look for right angles and straight line angles in the<br />
classroom.<br />
• Use geo-strips to demonstrate right angles and<br />
straight line angles.<br />
Interactive whiteboard activity<br />
Interactive whiteboard activity available to support this<br />
copymaster. Visit www.prim-ed.com.<br />
Main teaching activity<br />
Angles in turns (page 81)<br />
<strong>PR</strong>OPERTIES OF SHAPES<br />
• Identify right angles, recognise that two right angles make a half-turn, three make three quarters of a turn and<br />
four a complete turn.<br />
Additional activities suitable for developing<br />
the objectives<br />
• Sort 2-D shapes according to whether they have right<br />
angles.<br />
• Fold a piece of paper to make a right angle. Use it to<br />
find right angles in the classroom. Write a list of right<br />
angles found.<br />
• Draw and label classroom objects that have right<br />
angles.<br />
• Make and describe 30˚, 60˚ and 90˚ turns, using the<br />
hour hand on a clock face.<br />
• Answer word problems; for example, The ship was<br />
sailing south. A strong wind turned it 90˚ clockwise.<br />
What direction was it now sailing?<br />
Answers<br />
1. (a) Teacher check (b) Teacher check<br />
(c) Teacher check (d) Teacher check<br />
(e) Teacher check, quarter, 90, 1<br />
(f) Teacher check, half, 180, 2<br />
(g) Teacher check, quarter, 90, 3<br />
(h) Teacher check, whole, 360, 4<br />
(i) Teacher check, quarter, 90, 1<br />
(j) Teacher check, half, 180, 2<br />
Challenge: (a) South<br />
(b) West<br />
Viewing sample<br />
80 www.prim-ed.com Prim-Ed Publishing <strong>Primary</strong> <strong>Maths</strong>
ANGLES IN TURNS<br />
Clockwise means in the same direction as<br />
the movement of the hands of a clock.<br />
G<br />
Geometry<br />
Anticlockwise means in the opposite direction<br />
as the movement of the hands of a clock.<br />
1. Move the big hand on the clock faces in the correct direction.<br />
Clockwise from<br />
12 to 3.<br />
This is also called:<br />
• 1 quarter turn<br />
• 90° turn<br />
• 1 right angle<br />
turn<br />
Anticlockwise<br />
from 12 to 6.<br />
This is also called:<br />
• 1<br />
• ° turn<br />
• right<br />
angle turns<br />
Objective<br />
turn<br />
Clockwise from<br />
12 to 6.<br />
This is also called:<br />
• 1 half turn<br />
• 180° turn<br />
• 2 right angle<br />
turns<br />
Anticlockwise<br />
from 12 to 3.<br />
This is also called:<br />
• 3<br />
• three °<br />
turns<br />
• right<br />
angle turns<br />
turns<br />
Clockwise from<br />
12 to 9.<br />
This is also called:<br />
• 3 quarter turns<br />
• three 90° turns<br />
• 3 right angle<br />
turns<br />
Anticlockwise<br />
from 12 to 12.<br />
This is also called:<br />
• 1<br />
• ° turn<br />
• right<br />
angle turns<br />
Clockwise from<br />
12 to 12.<br />
This is also called:<br />
• 1 whole turn<br />
• 360° turn<br />
• 4 right angle<br />
turns<br />
Clockwise from<br />
3 to 6.<br />
Anticlockwise<br />
from 12 to 9.<br />
This is also called:<br />
<strong>Primary</strong> <strong>Maths</strong> Prim-Ed Publishing www.prim-ed.com 81<br />
turn<br />
This is also called:<br />
• 1<br />
• ° turn<br />
• right<br />
angle turn<br />
turn<br />
• 1<br />
• ° turn<br />
• right<br />
angle turn<br />
turn<br />
Anticlockwise<br />
from 9 to 3.<br />
This is also called:<br />
Viewing sample<br />
CHALLENGE<br />
• 1<br />
• ° turn<br />
• right<br />
angle turns<br />
turn<br />
Face north. On the back of the sheet, complete the turns to see which direction<br />
you are facing after: (a) 1 half turn clockwise (b) 1 quarter turn anticlockwise<br />
Makes clockwise and anticlockwise turns.
G<br />
Geometry<br />
TEACHER INFORMATION<br />
<strong>PR</strong>OPERTIES OF SHAPES<br />
Objective<br />
• Identify horizontal and vertical lines and pairs of perpendicular and parallel lines.<br />
Oral work and mental calculation<br />
• Use the vocabulary: line, horizontal, vertical,<br />
straight, curved, wavy, zig-zagged, parallel, diagonal,<br />
perpendicular.<br />
• Discuss the word ‘horizon’, what it means and how<br />
this relates to the word ‘horizontal’.<br />
• Look for and list examples of horizontal and vertical<br />
lines in the classroom.<br />
• Go for a ‘Line trail’ walk around the school to identify<br />
examples of horizontal and vertical lines – both inside<br />
and outside.<br />
Interactive whiteboard activity<br />
Interactive whiteboard activity available to support this<br />
copymaster. Visit www.prim-ed.com.<br />
Main teaching activity<br />
Lines (page 83)<br />
Additional activities suitable for developing<br />
the objective<br />
• Draw examples of different types of lines; for<br />
example, horizontal, vertical, straight, curved, wavy,<br />
zig-zagged, parallel, diagonal, perpendicular.<br />
• Sort pictures of objects according to whether they<br />
have horizontal or vertical lines.<br />
• Draw objects that have horizontal and vertical lines.<br />
• Complete a Venn diagram to sort objects with<br />
horizontal and vertical lines.<br />
• Draw a picture of a house/boat/castle/robot using<br />
some horizontal and vertical lines. Draw over the<br />
horizontal lines in red and the vertical lines in blue.<br />
Answers<br />
1. Teacher check<br />
2. (a) vertical (b) diagonal (c) parallel<br />
(d) curved (e) horizontal (f) wavy<br />
(g) zig-zagged (h) perpendicular<br />
3. Teacher check<br />
Challenge: Teacher check<br />
Viewing sample<br />
82 www.prim-ed.com Prim-Ed Publishing <strong>Primary</strong> <strong>Maths</strong>
LINES<br />
G<br />
Geometry<br />
1. Draw an example of each line type under the headings.<br />
(a) perpendicular (b) curved (c) wavy (d) zig-zagged<br />
(e) parallel lines (f) vertical (g) horizontal (h) diagonal<br />
2. Write the correct words under the pictures.<br />
(a) (b) (c) (d)<br />
(e) (f) (g) (h)<br />
3. In the picture below, trace over all the horizontal lines in red, the vertical lines in blue<br />
and the diagonal lines in yellow. Circle two sets of parallel lines in green and two<br />
perpendicular lines in purple.<br />
Viewing sample<br />
CHALLENGE<br />
On the back of this sheet, draw a house made up of horizontal, vertical, diagonal, parallel<br />
and perpendicular lines. Add a wavy garden path to the front door.<br />
Objective<br />
Recognises and represents a variety of lines.<br />
<strong>Primary</strong> <strong>Maths</strong> Prim-Ed Publishing www.prim-ed.com 83
G<br />
Geometry<br />
TEACHER INFORMATION<br />
<strong>PR</strong>OPERTIES OF SHAPES<br />
Objective<br />
• Identify horizontal and vertical lines and pairs of perpendicular and parallel lines.<br />
Oral work and mental calculation<br />
• Use the vocabulary: line, horizontal, vertical,<br />
straight, curved, wavy, zig-zagged, parallel, diagonal,<br />
perpendicular.<br />
• Discuss the word ‘horizon’, what it means and how<br />
this relates to the word ‘horizontal’.<br />
• Look for and list examples of horizontal and vertical<br />
lines in the classroom.<br />
• Go for a ‘Line trail’ walk around the school to identify<br />
examples of horizontal and vertical lines – both inside<br />
and outside.<br />
Interactive whiteboard activity<br />
Interactive whiteboard activity available to support this<br />
copymaster. Visit www.prim-ed.com.<br />
Main teaching activity<br />
More lines (page 85)<br />
Additional activities suitable for developing<br />
the objective<br />
• Draw examples of different types of lines; for<br />
example, horizontal, vertical, straight, curved, wavy,<br />
zig-zagged, parallel, diagonal, perpendicular.<br />
• Sort pictures of objects according to whether they<br />
have horizontal or vertical lines.<br />
• Draw objects that have horizontal and vertical lines.<br />
• Complete a Venn diagram to sort objects with<br />
horizontal and vertical lines.<br />
• Draw a picture of a house/boat/castle/robot using<br />
some horizontal and vertical lines. Draw over the<br />
horizontal lines in red and the vertical lines in blue.<br />
Answers<br />
1. Teacher check<br />
2. Teacher check<br />
Challenge: Teacher check<br />
Viewing sample<br />
84 www.prim-ed.com Prim-Ed Publishing <strong>Primary</strong> <strong>Maths</strong>
MORE LINES<br />
G<br />
Geometry<br />
1. Look at how shapes and lines can be used in different ways in the picture below. Trace<br />
over the horizontal lines in red, the vertical lines in blue, the diagonal lines in yellow and<br />
the curved lines in green. Circle the parallel lines in purple and the perpendicular lines in<br />
brown.<br />
Viewing sample<br />
CHALLENGE<br />
Draw objects in your classroom that have a …<br />
(a) horizontal line (b) vertical line (c) pair of parallel<br />
lines<br />
(d) perpendicular<br />
line<br />
Objective Recognises different lines in the built environment.<br />
85<br />
<strong>Primary</strong> <strong>Maths</strong> Prim-Ed Publishing www.prim-ed.com 85
S<br />
Statistics<br />
TEACHER INFORMATION<br />
STATISTICS<br />
Objectives<br />
• Interpret and present data using bar charts.<br />
• Solve one-step and two-step questions using information presented in bar charts.<br />
Oral work and mental calculation<br />
• Use the vocabulary: sort, represent, list, table, graph,<br />
count, data, chart, axis, title and most/least common<br />
or popular.<br />
• Collect data (for example, in a class vote) and<br />
organise it using a list and table. Discuss whether lists<br />
or tables are easier to organise and interpret and why.<br />
• Use the data on the list and table to demonstrate<br />
how to construct a simple bar chart, verbalising the<br />
process.<br />
• Discuss the data presented on the bar chart and<br />
answer oral questions about it.<br />
Main teaching activity<br />
Organising information (page 87)<br />
Additional activities suitable for developing<br />
the objectives<br />
• Use the data in a list or table to construct a simple<br />
bar chart. Initially have intervals labelled in ones, and<br />
then extend to intervals labelled in twos.<br />
• Discuss the data presented on the bar chart and<br />
answer written questions about it.<br />
• Plan and carry out a survey for your class on favourite<br />
sweets/games/lessons. Record the data collected in<br />
a list or table and then create a bar chart. Write five<br />
sentences about the results; for example, Eight pupils<br />
chose football as their favourite sport.<br />
• Use a computer with a simple data program to enter<br />
data and display it as a simple bar chart. Discuss how<br />
quickly the computer can convert the information.<br />
Answers<br />
1. dogs = 7 cats = 3 ponies = 1<br />
rabbits = 2 guinea pigs = 1 fish = 6<br />
chickens = 2 birds = 3<br />
2. Teacher check<br />
Challenge: Teacher check<br />
Viewing sample<br />
86 www.prim-ed.com Prim-Ed Publishing <strong>Primary</strong> <strong>Maths</strong>
ORGANISING INFORMATION<br />
S<br />
Statistics<br />
1. Look at the pictures of the pets owned by the children in Class 3. Organise the<br />
information by filling in the results in the list below.<br />
Dogs<br />
Cats<br />
Ponies<br />
Rabbits<br />
Guinea pigs<br />
Fish<br />
Chickens<br />
Birds<br />
2. Use the results to complete the bar chart.<br />
Dogs<br />
Cats<br />
Ponies<br />
Rabbits<br />
Guinea pigs<br />
Fish<br />
1 2 3 4 5 6 7 8<br />
Viewing sample<br />
CHALLENGE<br />
Chickens<br />
Birds<br />
Survey your class to find out what pets they own. Create a table and write the results in it<br />
on the back of the sheet. What is the most common pet?<br />
Objective<br />
Summarises and displays data in a bar chart.<br />
<strong>Primary</strong> <strong>Maths</strong> Prim-Ed Publishing www.prim-ed.com 87
S<br />
Statistics<br />
TEACHER INFORMATION<br />
STATISTICS<br />
Objectives<br />
• Interpret and present data using bar charts.<br />
• Solve one-step and two-step questions using information presented in bar charts.<br />
Oral work and mental calculation<br />
• Use the vocabulary: sort, represent, graph, count,<br />
data, chart, axis, title and most/least common or<br />
popular.<br />
• Collect data (for example, in a class vote) and<br />
demonstrate how to construct a simple bar chart,<br />
verbalising the process. Initially have intervals<br />
labelled in ones, and then extend to intervals labelled<br />
in twos.<br />
• Discuss the data presented on the bar chart and<br />
answer oral questions about it.<br />
Interactive whiteboard activity<br />
Interactive whiteboard activity available to support this<br />
copymaster. Visit www.prim-ed.com.<br />
Main teaching activity<br />
Bar charts (page 89)<br />
Additional activities suitable for developing<br />
the objectives<br />
• Use the data in a frequency table to construct a<br />
simple bar chart. Initially have intervals labelled in<br />
ones, and then extend to intervals labelled in twos.<br />
• Discuss the data presented on the bar chart and<br />
answer written questions about it.<br />
• Plan and carry out a survey for your class on favourite<br />
sweets/games/lessons. Record the data collected in a<br />
bar chart. Write five sentences about the results; for<br />
example, Eight pupils chose football as their favourite<br />
sport.<br />
• Use a computer with a simple data program to enter<br />
data and display it as a simple bar chart. Discuss how<br />
quickly the computer can convert the information.<br />
Answers<br />
1. (a) 7 (b) 3 (c) sheep<br />
(d) pigs (e) 2<br />
2. Teacher check<br />
(a) lambs (b) foals (c) 29<br />
Challenge: Teacher check<br />
Viewing sample<br />
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BAR CHARTS<br />
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1. Look at the bar chart showing the number<br />
of animals on Mrs Lamb’s farm and answer<br />
the questions.<br />
(a) How many cows are there?<br />
(b) How many horses are there?<br />
(c) Which animal does<br />
she have the most of?<br />
(d) Which animal does<br />
she have the least of?<br />
(e) How many more ducks<br />
are there than horses?<br />
2. Record the number of baby animals there are on the farm by colouring the bars on<br />
the bar chart. Use a different colour for each type of animal.<br />
calves – 7 foals – 2 lambs – 9 piglets – 6 ducklings – 5<br />
Viewing sample<br />
(a) Which baby animal is there the most of?<br />
(b) Which baby animal is there the least of?<br />
(c) How many baby animals are there altogether?<br />
CHALLENGE<br />
Record the pets pupils in your class have on a computer bar chart.<br />
Objective<br />
Reads, organises and interprets data in a bar chart.<br />
<strong>Primary</strong> <strong>Maths</strong> Prim-Ed Publishing www.prim-ed.com 89
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TEACHER INFORMATION<br />
STATISTICS<br />
Objectives<br />
• Interpret and present data using bar charts.<br />
• Solve one-step and two-step questions using information presented in bar charts.<br />
Oral work and mental calculation<br />
• Use the vocabulary: sort, represent, list, table, graph,<br />
count, data, chart, axis, title and most/least common<br />
or popular.<br />
• Collect data (for example, in a class vote) and<br />
organise it using a list and table. Discuss whether lists<br />
or tables are easier to organise and interpret and why.<br />
• Use the data on the list and table to demonstrate<br />
how to construct a simple bar chart, verbalising the<br />
process.<br />
• Discuss the data presented on the bar chart and<br />
answer oral questions about it.<br />
Interactive whiteboard activity<br />
Interactive whiteboard activity available to support this<br />
copymaster. Visit www.prim-ed.com.<br />
Main teaching activity<br />
Interpreting graphs (page 91)<br />
Additional activities suitable for developing<br />
the objectives<br />
• Use the data in a list or table to construct a simple<br />
bar chart. Initially have intervals labelled in ones, and<br />
then extend to intervals labelled in twos.<br />
• Discuss the data presented on the bar chart and<br />
answer written questions about it.<br />
• Plan and carry out a survey for your class on favourite<br />
sweets/games/lessons. Record the data collected in<br />
a list or table and then create a bar chart. Write five<br />
sentences about the results; for example, Eight pupils<br />
chose football as their favourite sport.<br />
• Use a computer with a simple data program to enter<br />
data and display it as a simple bar chart. Discuss how<br />
quickly the computer can convert the information.<br />
Answers<br />
1. (a) September (b) April<br />
(c) November (d) February, June, December<br />
(e) 2<br />
2. (a) Teacher check<br />
(b) James, Bridget (c) Beth, Thomas<br />
(d) 6<br />
Challenge: Teacher check<br />
Viewing sample<br />
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INTER<strong>PR</strong>ETING GRAPHS<br />
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1. Look at the block graph of Class 3’s birthdays and answer the questions below.<br />
(a) Which month has the most birthdays?<br />
(b) Which month has no birthdays?<br />
(c) Which month has four birthdays?<br />
(d) Which months have only one birthday?<br />
(e) How many more birthdays are in March than June?<br />
2. Look at the bar chart of the Easter egg hunt and answer the questions below.<br />
(a) What is the bar chart showing?<br />
Viewing sample<br />
(b) Who found the most eggs?<br />
(c) Who found three eggs?<br />
(d) How many eggs did John find?<br />
CHALLENGE<br />
and the least eggs?<br />
and four eggs?<br />
On the back of the sheet, write three things you would need to do if you were to survey<br />
the class about the most popular juice flavour.<br />
Objective<br />
Interprets data from simple graphs.<br />
<strong>Primary</strong> <strong>Maths</strong> Prim-Ed Publishing www.prim-ed.com 91
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TEACHER INFORMATION<br />
STATISTICS<br />
Objectives<br />
• Interpret and present data using bar charts and pictograms.<br />
• Solve one-step and two-step questions using information presented in scaled bar charts and pictograms.<br />
Oral work and mental calculation<br />
• Use the vocabulary: sort, represent, graph, count,<br />
data, chart, pictogram, axis, title and most/least<br />
common or popular.<br />
• Collect data (for example, in a class vote) and<br />
demonstrate how to construct a simple pictogram<br />
and bar chart, verbalising the process.<br />
• Discuss the data presented on the pictogram and bar<br />
chart and answer oral questions about it.<br />
• Compare the presentation of the pictogram and bar<br />
chart. Which do the pupils feel shows the information<br />
the best? Why?<br />
Main teaching activity<br />
Interpreting data (page 93)<br />
Additional activities suitable for developing<br />
the objectives<br />
• Use the data in a frequency table to construct a<br />
simple pictogram and bar chart.<br />
• Discuss the data presented on the pictogram and bar<br />
chart and answer written questions about it.<br />
• Plan and carry out a survey for your class on favourite<br />
sea creatures/hobbies/books. Record the data<br />
collected in a pictogram and bar chart. Write five<br />
sentences about the results; for example, The most<br />
popular sea creature was the dolphin.<br />
• Use a computer with a simple data program to enter<br />
data and display it as a simple pictogram and bar<br />
chart. Discuss how quickly the computer can convert<br />
the information and which diagram shows the<br />
information best.<br />
Answers<br />
1. (a) 6 (b) 8 (c) 18 (d) tadpoles<br />
(e) fish (f) 60<br />
2. (a) hamburgers (b) BBQ chicken<br />
(c) 12 (d) 8<br />
(e) Teacher check<br />
Challenge: Teacher check<br />
Viewing sample<br />
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INTER<strong>PR</strong>ETING DATA<br />
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1. Look at the pictogram showing the<br />
creatures that live in the pond and<br />
answer the questions below.<br />
Key: 1 picture = 2 creatures<br />
(a) How many frogs?<br />
(b) How many ducks?<br />
(c) How many bugs?<br />
(d) There are 16 .<br />
(e) There are 12 .<br />
(f) How many creatures<br />
are there altogether?<br />
2. Look at the bar chart showing <strong>Year</strong> 3’s favourite takeaway food and answer the<br />
questions.<br />
(a) What is the most popular takeaway food?<br />
(b) What is the least popular takeaway food?<br />
(c) How many pupils<br />
like pizza?<br />
(d) How many pupils like fried chicken?<br />
Viewing sample<br />
fish and<br />
chips<br />
pizza<br />
fried<br />
chicken<br />
BBQ<br />
chicken<br />
hamburgers<br />
(e) What is your favourite takeaway food?<br />
CHALLENGE<br />
Devise a survey on the computer about favourite takeaway foods and distribute it to 10<br />
of your classmates. Record the results on a bar chart.<br />
Objective<br />
Interprets data shown in a pictogram and bar chart.<br />
<strong>Primary</strong> <strong>Maths</strong> Prim-Ed Publishing www.prim-ed.com 93
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TEACHER INFORMATION<br />
STATISTICS<br />
Objectives<br />
• Interpret and present data using pictograms.<br />
• Solve one-step and two-step questions using information presented in pictograms.<br />
Oral work and mental calculation<br />
• Use the vocabulary: sort, represent, count, data, chart,<br />
pictogram, title and most/least common or popular.<br />
• Collect data (for example, in a class vote) and<br />
demonstrate how to construct a simple pictogram,<br />
verbalising the process. Initially have one symbol to<br />
represent one unit, then extend this to one symbol to<br />
represent two units.<br />
• Discuss the data presented on the pictogram and<br />
answer oral questions about it.<br />
Main teaching activity<br />
Pictograms (page 95)<br />
Additional activities suitable for developing<br />
the objectives<br />
• Use the data in a frequency table to construct<br />
a simple pictogram. Initially have one symbol to<br />
represent one unit, then extend this to one symbol to<br />
represent two units.<br />
• Discuss the data presented on the pictogram and<br />
answer written questions about it.<br />
• Plan and carry out a survey for your class on favourite<br />
foods/pets/weather. Record the data collected in a<br />
pictogram. Write five sentences about the results; for<br />
example, The least popular type of weather was rain.<br />
• Use a computer with a simple data program to<br />
enter data and display it as a simple pictogram.<br />
Discuss how quickly the computer can convert the<br />
information.<br />
Answers<br />
1. (a) train (b) bike (c) 14<br />
(d) 4 (e) 10<br />
2. Teacher check; pupils should have drawn: 4 carrots,<br />
2 lettuce, 3 tomatoes, 2 cabbages, 1 pumpkin and<br />
5 leeks.<br />
3. (a) leeks (b) pumpkins (c) 34<br />
Challenge: Teacher check<br />
Viewing sample<br />
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PICTOGRAMS<br />
1. Look at the pictogram on how pupils in <strong>Year</strong> 3 travel to school<br />
and answer the questions. Key: 1 picture = 2 pupils<br />
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(a) Two pupils travel by . (b) Six pupils travel by .<br />
(c) How many pupils travel by car?<br />
(e) How many pupils walk to school?<br />
2. Record this information about vegetables growing in Mr Turnip’s<br />
garden on the pictogram below. Key: 1 picture = 2 vegetables<br />
(d) How many pupils travel by bus?<br />
Viewing sample<br />
3. (a) Which vegetable is Mr Turnip growing the most of?<br />
(b) Which vegetable is Mr Turnip growing the least of?<br />
(c) How many vegetables is he growing altogether?<br />
CHALLENGE<br />
Record, in the form of a pictogram, how pupils in your class travel to school.<br />
Objective<br />
Reads, organises and interprets data in a pictogram.<br />
<strong>Primary</strong> <strong>Maths</strong> Prim-Ed Publishing www.prim-ed.com 95
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TEACHER INFORMATION<br />
STATISTICS<br />
Objectives<br />
• Interpret and present data using pictograms.<br />
• Solve one-step and two-step questions using information presented in pictograms.<br />
Oral work and mental calculation<br />
• Use the vocabulary: survey, questionnaire, data, tally,<br />
set, sort, table, list, represent, graph, chart, diagram,<br />
axis, axes, title, label, most/least popular, pictogram,<br />
bar chart.<br />
• Collect data from the class by allowing pupils to<br />
choose and vote for their favourite colour/pet/sport/<br />
fruit etc. Record votes on a simple pictogram, where<br />
one symbol equals one vote.<br />
• Answer verbal questions about the pictogram<br />
created; for example, Which is the most popular …?<br />
Which is the least popular …? How many pupils chose<br />
…?<br />
• Construct another pictogram using one symbol to<br />
equal 2/5/10/20 votes.<br />
• Remembering the scale, answer verbal questions<br />
about the pictogram created; for example, Which is<br />
the most popular …? Which is the least popular …?<br />
How many pupils chose …?<br />
• Discuss which scales are easiest to work with and<br />
why.<br />
Main teaching activity<br />
More pictograms (page 97)<br />
Additional activities suitable for developing<br />
the objectives<br />
• Complete a bug hunt, to discover the variety of bugs<br />
that can be found on the school field.<br />
• Display the results as a pictogram, where one symbol<br />
equals two bugs.<br />
• Write sentences to tell which bug was most/least<br />
common and how many of each type of bug was<br />
found on the school field.<br />
• Survey their class by asking pupils to choose and<br />
vote for their favourite vegetable/weather/animal<br />
etc. Display their findings as a pictogram, where one<br />
symbol equals 5/10/20.<br />
• Write sentences about the pictogram; for example,<br />
The most popular … was …, The least popular …<br />
was…, … pupils chose …, etc.<br />
Answers<br />
1. (a) football (b) gymnastics<br />
(c) 40 (d) 50 (e) 30<br />
2. Teacher check<br />
Challenge: Teacher check<br />
Viewing sample<br />
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MORE PICTOGRAMS<br />
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1. Look at the pictogram showing the pupils’ hobbies in <strong>Year</strong> 3 and answer the questions.<br />
(a) 70 pupils participate in .<br />
(b) 20 pupils participate in .<br />
(c) How many pupils swim?<br />
(d) How many pupils ride bikes?<br />
(e) How many pupils learn music?<br />
2. Record this information about <strong>Year</strong> 3’s pets in the pictogram below.<br />
Viewing sample<br />
CHALLENGE<br />
Survey your class on their pets and complete a pictogram to represent the results.<br />
Objective<br />
Analyses and displays data in pictograms.<br />
<strong>Primary</strong> <strong>Maths</strong> Prim-Ed Publishing www.prim-ed.com 97
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TEACHER INFORMATION<br />
Objectives<br />
• Interpret and present data using tables.<br />
Oral work and mental calculation<br />
• Use the vocabulary: sort, set, table, list, count,<br />
data, tally and most/least common or popular.<br />
• Solve problems by collecting data; for example,<br />
What is our favourite fruit/sport/colour/animal?<br />
etc.<br />
• Discuss and work out the answers to questions; for<br />
example,<br />
How can we find out? What information should we<br />
collect? How should we collect the information?<br />
How shall we organise the data?<br />
• Collect data (for example, in a class vote) and<br />
demonstrate how to construct a simple frequency<br />
table, verbalising the process; for example,<br />
Favourite animals Votes<br />
Dog 9<br />
Cat 4<br />
Elephant 6<br />
Hamster 8<br />
Lion 3<br />
• Discuss the data collected; for example,<br />
Which animal is the most popular? The least<br />
popular? How many pupils liked elephants<br />
the best?<br />
Interactive whiteboard activity<br />
Interactive whiteboard activity available to support<br />
this copymaster. Visit www.prim-ed.com.<br />
Main teaching activity<br />
Travelling to school (page 99)<br />
STATISTICS<br />
• Solve one-step and two-step questions using information presented in tables.<br />
Additional activities suitable for developing<br />
the objectives<br />
• Use the data in a frequency table to solve a class<br />
problem; for example,<br />
Day Number of packed lunches brought<br />
to school<br />
Monday 7<br />
Tuesday 8<br />
Wednesday 4<br />
Thursday 6<br />
Friday 7<br />
• Discuss the data collected; for example, Which day<br />
do the most/least pupils bring a packed lunch? If<br />
there are four pupils to a table, how many tables<br />
will be needed on Monday, for pupils to sit at whilst<br />
eating their packed lunch? On Wednesday?<br />
• Plan and carry out a survey for your class on<br />
favourite toys/comics/cartoons. Record the data<br />
collected in a frequency table. Write five sentences<br />
about the results; for example, Most pupils chose a<br />
bike as their favourite toy.<br />
• Test a hypothesis; for example, We think that<br />
most pupils in our class walk to school. Decide the<br />
data needed, collect it and present it as a simple<br />
frequency table.<br />
• Use a computer with a simple data program to<br />
enter and display data as a frequency table. Convert<br />
the data in the table into a simple bar chart.<br />
Viewing sample<br />
Answers<br />
1. Teacher check<br />
2. Teacher check, Car = 9, Walk = 6, Bike = 3,<br />
Bus = 2, Train = 1, Total = 21<br />
3. (a) 9 (b) 6 (c) 1 (d) bike<br />
(e) bus (f) 9 (g) 12<br />
Challenge: Teacher check<br />
98 www.prim-ed.com Prim-Ed Publishing <strong>Primary</strong> <strong>Maths</strong>
TRAVELLING TO SCHOOL<br />
1. Look at the pictures below of how some pupils travel to school.<br />
Colour each type of transport the same colour.<br />
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2. Represent the above information on the survey chart below using tally marks.<br />
3. Answer these questions.<br />
(a) How many pupils travel to school by car?<br />
(b) How many pupils (c) How many pupils<br />
walk to school?<br />
Transport Tally Total<br />
CHALLENGE<br />
On the back of this sheet, plan and carry out a survey for your class on how they travel to<br />
school.<br />
Objectives • Classifies and records data. • Interprets recorded data.<br />
catch the train?<br />
(d) Three pupils travel to school on a (e) Two pupils travel to school on a<br />
Viewing sample<br />
. .<br />
(f) How many pupils are getting exercise on their way to school?<br />
(g) How many pupils are not getting exercise on their way to school?<br />
<strong>Primary</strong> <strong>Maths</strong> Prim-Ed Publishing www.prim-ed.com 99
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TEACHER INFORMATION<br />
STATISTICS<br />
Objectives<br />
• Interpret and present data using tables.<br />
• Solve one-step and two-step questions using information presented in tables.<br />
Oral work and mental calculation<br />
• Use the vocabulary: sort, set, table, list, count, data,<br />
tally and most/least common or popular.<br />
• Solve problems by collecting data; for example,<br />
What is our favourite fruit/sport/colour/animal? etc.<br />
• Discuss and work out the answers to questions; for<br />
example,<br />
How can we find out? What information should we<br />
collect? How should we collect the information? How<br />
shall we organise the data?<br />
• Collect data (for example, in a class vote) and<br />
demonstrate how to construct a simple frequency<br />
table, verbalising the process; for example,<br />
Favourite animals Votes<br />
Dog 9<br />
Cat 4<br />
Elephant 6<br />
Hamster 8<br />
Lion 3<br />
• Discuss the data collected; for example,<br />
Which animal is the most popular? The least popular?<br />
How many pupils liked elephants the best?<br />
Main teaching activity<br />
Surveys (page 101)<br />
Additional activities suitable for developing<br />
the objectives<br />
• Use the data in a frequency table to solve a class<br />
problem; for example,<br />
Day Number of packed lunches brought<br />
to school<br />
Monday 7<br />
Tuesday 8<br />
Wednesday 4<br />
Thursday 6<br />
Friday 7<br />
• Discuss the data collected; for example, Which day do<br />
the most/least pupils bring a packed lunch? If there<br />
are four pupils to a table, how many tables will be<br />
needed on Monday, for pupils to sit at whilst eating<br />
their packed lunch? On Wednesday?<br />
• Plan and carry out a survey for your class on favourite<br />
toys/comics/cartoons. Record the data collected in<br />
a frequency table. Write five sentences about the<br />
results; for example, Most pupils chose a bike as their<br />
favourite toy.<br />
• Test a hypothesis; for example, We think that most<br />
pupils in our class walk to school. Decide the data<br />
needed, collect it and present it as a simple frequency<br />
table.<br />
• Use a computer with a simple data program to enter<br />
and display data as a frequency table. Convert the<br />
data in the table into a simple bar chart.<br />
Answers<br />
1. Answers will vary; for example, What is your favourite<br />
sandwich filling?<br />
2. Teacher check<br />
3. Teacher check<br />
4. Teacher check<br />
Challenge: Teacher check<br />
Viewing sample<br />
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SURVEYS<br />
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1. If you were going to survey your class on their favourite sandwich filling, what question<br />
could you ask?<br />
Question:<br />
2. List six sandwich fillings you could include in your survey.<br />
(a)<br />
(c)<br />
(e)<br />
3. Complete the survey chart below with your sandwich fillings<br />
and use tally marks to survey the class.<br />
4. Answer these questions.<br />
Can you think of any other ways of surveying a group of people other than a tally? If so,<br />
list them on the back of this sheet.<br />
(b)<br />
(d)<br />
(f)<br />
Sandwich filling Tally Total<br />
(a) Which is the most popular filling?<br />
(b) Which is the least popular filling?<br />
(c) Were there any fillings you left out and should have included in your survey?<br />
Viewing sample<br />
What were they?<br />
(d) Which was your favourite filling?<br />
CHALLENGE<br />
yes<br />
no<br />
Objectives<br />
• Plans and carries out a class survey. • Records and interprets collected data.<br />
<strong>Primary</strong> <strong>Maths</strong> Prim-Ed Publishing www.prim-ed.com 101
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TEACHER INFORMATION<br />
STATISTICS<br />
Objectives<br />
• Interpret and present data using tables.<br />
• Solve one-step and two-step questions using information presented in tables.<br />
Oral work and mental calculation<br />
• Use the vocabulary: survey, questionnaire, data, tally,<br />
set, sort, table, list, represent, graph, chart, diagram,<br />
axis, axes, title, label, most/least popular, pictogram,<br />
bar chart.<br />
• Collect data from the class by allowing pupils to<br />
choose and vote for their favourite colour/pet/sport/<br />
fruit etc. Record votes on a tally chart.<br />
• Answer verbal questions about the tally charts<br />
created; for example, Which is the most popular …?<br />
Which is the least popular …? How many pupils chose<br />
…?<br />
Interactive whiteboard activity<br />
Interactive whiteboard activity available to support this<br />
copymaster. Visit www.prim-ed.com.<br />
Main teaching activity<br />
Organising information (page 103)<br />
Additional activities suitable for developing<br />
the objectives<br />
• Complete a traffic survey by tallying the types of<br />
traffic that go past the school gates during a 15<br />
minute interval.<br />
• Write sentences to tell which type of transport<br />
was most/least common and how many of each<br />
type of transport passed the school gates.<br />
• Survey the class by asking pupils to choose and<br />
vote for their favourite football team/pop star/toy/<br />
drink etc. Collect their findings as a tally chart.<br />
• Write sentences about the tally chart; for example,<br />
The most popular … was …, The least popular …<br />
was…, … pupils chose …, etc.<br />
• Use a computer program to construct a simple<br />
table and input data.<br />
Answers<br />
1. Teacher check<br />
2. Teacher check<br />
3. Teacher check<br />
Challenge: Teacher check<br />
Viewing sample<br />
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ORGANISING INFORMATION<br />
1. Group the pictures below into four different categories. Circle the items belonging to<br />
each category a different colour.<br />
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2. Draw columns for each category, decide on each heading and list the vehicles below.<br />
3. View passing traffic for a set time (e.g. 10 minutes) from inside the school grounds and<br />
keep a tally of the categories chosen above.<br />
Category<br />
(a) Which category above had the most vehicles?<br />
(b) Which category had the least vehicles?<br />
Tally<br />
Viewing sample<br />
CHALLENGE Would the results in Question 3 be the same in one hour? yes no<br />
Why/Why not?<br />
Objective<br />
Categorises and tallies given and collected data into tables.<br />
<strong>Primary</strong> <strong>Maths</strong> Prim-Ed Publishing www.prim-ed.com 103