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Mathematics Steps to Success and Top Tips Year 2 - Pownall Green ...

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<strong>Pownall</strong> <strong>Green</strong> Primary School<br />

<strong>Mathematics</strong><br />

<strong>Steps</strong> <strong>to</strong> <strong>Success</strong><br />

<strong>and</strong><br />

<strong>Top</strong> <strong>Tips</strong><br />

<strong>Year</strong> 2<br />

1


Contents<br />

1. Count, read, write <strong>and</strong> order whole numbers <strong>to</strong> at least 100 3<br />

2. Know what each digit represents (including 0 as a place holder) 3<br />

3. Describe <strong>and</strong> carry on number sequences (including odd/even<br />

numbers, counting on or back in ones or tens from any two<br />

digit number, <strong>and</strong> so on) 3<br />

4. Underst<strong>and</strong> that subtraction is the inverse of addition 3<br />

5. Say the subtraction calculation <strong>to</strong> a given addition <strong>and</strong> vice versa 4<br />

6. Know all addition <strong>and</strong> subtraction facts for each number <strong>to</strong> 10 4<br />

7. Know that addition can be done in any order <strong>and</strong> use this <strong>to</strong> help<br />

with mental calculation 4<br />

8. Know that multiplication is repeated addition 4<br />

9. To half numbers because I know halving is the inverse of doubling 5<br />

10. Know by heart facts for the 2 multiplication table 5<br />

11. Know by heart the facts for the 10 multiplication table 5<br />

12. Know which operations <strong>to</strong> use when solving problems 5<br />

13. Estimate, measure <strong>and</strong> compare lengths using st<strong>and</strong>ard units 6<br />

14. Estimate, measure <strong>and</strong> compare masses using st<strong>and</strong>ard units 6<br />

15. Estimate, measure <strong>and</strong> compare capacities using st<strong>and</strong>ard units 6<br />

16. Read a simple scale <strong>and</strong> use a ruler <strong>to</strong> draw <strong>and</strong> measure lines<br />

<strong>to</strong> the nearest centimetre 7<br />

17. Use the mathematical names for common 2-D <strong>and</strong> <strong>to</strong> sort shapes<br />

<strong>and</strong> describe some of their features 7<br />

18. Use the mathematical names for common 3-D <strong>and</strong> <strong>to</strong> sort shapes<br />

<strong>and</strong> describe some of their features 8<br />

19. Use mathematical vocabulary <strong>to</strong> describe position, direction <strong>and</strong><br />

movement 8<br />

Page<br />

2


<strong>Steps</strong> <strong>to</strong> <strong>Success</strong> <strong>and</strong> <strong>Top</strong> <strong>Tips</strong>– <strong>Year</strong> 2<br />

Key Learning Objectives<br />

1.To count, read, write <strong>and</strong> order whole numbers <strong>to</strong> at least 100<br />

<strong>Steps</strong> <strong>to</strong> <strong>Success</strong><br />

1. Sort the numbers according <strong>to</strong> how many tens they have.<br />

2. Within each set of ten order the units.<br />

<strong>Top</strong> <strong>Tips</strong><br />

• Read the numbers carefully (reading from left <strong>to</strong> right, identifying<br />

which are the tens <strong>and</strong> which are the ones.)<br />

• How many digits does it have?<br />

• What is each digit worth?<br />

• Remember when writing a number we write it left <strong>to</strong> right –<br />

demonstrate what happens <strong>to</strong> the value of numbers when we write<br />

right <strong>to</strong> left.<br />

2.To know what each digit represents (including 0 as a place holder).<br />

<strong>Top</strong> <strong>Tips</strong><br />

• Write the place value column headings <strong>to</strong> help.<br />

• Use arrow cards <strong>to</strong> demonstrate 0 as a place holder.<br />

• Use 10p’s <strong>and</strong> 1p’s<br />

3.To describe <strong>and</strong> carry on number sequences (including odd/even<br />

numbers, counting on or back in ones or tens from any two-digit<br />

number, <strong>and</strong> so on).<br />

<strong>Steps</strong> <strong>to</strong> <strong>Success</strong><br />

1. Look carefully at the number sequence.<br />

2. Can you see a pattern? What is happening each time?<br />

3. Test your idea on the sequence <strong>to</strong> check that you are correct.<br />

4.To underst<strong>and</strong> that subtraction is the inverse of addition<br />

<strong>Top</strong> <strong>Tips</strong><br />

• Demonstrate the corresponding addition <strong>to</strong> the subtraction using<br />

objects. Make the relationship between + <strong>and</strong> – explicit.<br />

• Use a number balance.<br />

3


5.To say the subtraction calculation <strong>to</strong> a given addition <strong>and</strong> vice<br />

versa<br />

<strong>Top</strong> <strong>Tips</strong><br />

• Start with the answer <strong>to</strong> the addition calculation.<br />

• Use Number Trios or number balance or child held numbers<br />

6.To know all addition <strong>and</strong> subtraction facts for each number <strong>to</strong> 10<br />

<strong>Top</strong> <strong>Tips</strong><br />

1. Begin using ten fingers.<br />

2. Use 10 pegs on a coat hanger, hide a set <strong>and</strong> ask how many<br />

hidden?<br />

3. Mental recall.<br />

4. Recite from memory.<br />

7.To know that addition can be done in any order <strong>and</strong> use this <strong>to</strong> help<br />

with mental calculations<br />

<strong>Steps</strong> <strong>to</strong> <strong>Success</strong><br />

<strong>Top</strong> <strong>Tips</strong><br />

1. Put the biggest number in your head<br />

2. Count on from the biggest number<br />

• Remember that addition can be done in any order, but beginning<br />

with the biggest number is easier.<br />

• Put up the number of fingers you want <strong>to</strong> add <strong>to</strong> the biggest<br />

number FIRST <strong>and</strong> then put each finger down as you count on.<br />

• Addition of three numbers – look for number bonds <strong>to</strong> 10, near<br />

bonds, doubles <strong>and</strong> near doubles.<br />

8.To know that multiplication is repeated addition<br />

<strong>Top</strong> <strong>Tips</strong><br />

1. Demonstrate using cubes/sets of <strong>to</strong>ys, children, money etc<br />

2. 4 x 5 = 5 + 5 + 5 + 5<br />

3. Explain that multiplication is a quick way of adding the same<br />

number again <strong>and</strong> again.<br />

4. Draw arrays (groups of dots) <strong>to</strong> represent a multiplication.<br />

4


9. To half numbers because I know halving is the inverse of doubling<br />

<strong>Top</strong> <strong>Tips</strong><br />

• Use cubes – demonstrate doubling <strong>and</strong> halving.<br />

• Use real life examples e.g. pizza<br />

10.To know by heart facts for the 2 multiplication table<br />

<strong>Steps</strong> <strong>to</strong> <strong>Success</strong><br />

1. Using fingers <strong>to</strong> mark number of sets.<br />

2. Read the multiplication facts whilst reciting.<br />

<strong>Top</strong> <strong>Tips</strong><br />

• Make explicit that the multiples of 2 are EVEN numbers.<br />

• Look at the repeated pattern of units 0, 2, 4, 6, 8 etc.<br />

11.To know by heart the facts for the 10 multiplication table<br />

<strong>Steps</strong> <strong>to</strong> <strong>Success</strong><br />

1. Using fingers <strong>to</strong> mark number of sets.<br />

2. Read the multiplication facts whilst reciting.<br />

<strong>Top</strong>s <strong>Tips</strong><br />

• Make explicit that the multiples of 10 end in 0<br />

• Look for patterns on the 100 square<br />

12.To know which operations <strong>to</strong> use when solving problems<br />

<strong>Steps</strong> <strong>to</strong> <strong>Success</strong><br />

Read <strong>and</strong> underst<strong>and</strong> the problem.<br />

Underline key information.<br />

Decide what you need <strong>to</strong> work out.<br />

Estimate<br />

Calculate<br />

Answer in a sentence<br />

Take time <strong>to</strong> check your answer<br />

<strong>Top</strong> <strong>Tips</strong><br />

Identification of language used<br />

5


<strong>Steps</strong> <strong>to</strong> <strong>Success</strong> <strong>and</strong> <strong>Top</strong> <strong>Tips</strong><br />

Shape, Space <strong>and</strong> Measures – <strong>Year</strong> 2<br />

Key Learning Objectives<br />

13. To estimate, measure <strong>and</strong> compare lengths using st<strong>and</strong>ard<br />

units<br />

<strong>Top</strong> <strong>Tips</strong><br />

• Discuss the importance of st<strong>and</strong>ard units<br />

• Use a metre stick: make comparison- longer than/shorter than.<br />

• Make links with familiar classroom objects e.g. length of the<br />

desk is about 1m/a child<br />

• Make clear that the metre is the base unit of length.<br />

Underst<strong>and</strong>ing the size of the base unit will help underst<strong>and</strong><br />

the size of all other units.<br />

• There are smaller units such as centimetres which are 100<br />

times smaller than the metre (centi = 1/100)<br />

• 1 cm is approximately the width of a child’s finger.<br />

• Discuss which unit you would use <strong>to</strong> measure different objects<br />

e.g. a door, a pencil etc.<br />

14. To estimate, measure <strong>and</strong> compare masses using st<strong>and</strong>ard<br />

units<br />

<strong>Top</strong> <strong>Tips</strong><br />

• Introduce 1kg <strong>and</strong> g as st<strong>and</strong>ard units for mass.<br />

• Sort objects in<strong>to</strong> more or less than 1kg.<br />

• Make links with familiar objects e.g. food packaging<br />

• Make clear that the gram is the base unit of mass.<br />

Underst<strong>and</strong>ing the size of the base unit will help underst<strong>and</strong><br />

the size of all other units.<br />

• There are larger units such as kilogram which are 1000 times<br />

larger than a gram (kilo=1000). Link <strong>to</strong> children’s own weight.<br />

15. To estimate, measure <strong>and</strong> compare capacities using st<strong>and</strong>ard<br />

units<br />

<strong>Top</strong> <strong>Tips</strong><br />

• Make links with familiar objects e.g. volume of a water bottle/<br />

soft drink bottle.<br />

• Make clear that the litre is the base unit of volume/capacity.<br />

Underst<strong>and</strong>ing the size of the base unit will help underst<strong>and</strong><br />

the size of all other units.<br />

• There are smaller units such as millilitres which are 1000 times<br />

smaller than the metre (milli = 1/1000)<br />

• Discuss when reading a scale in measuring <strong>and</strong> baking.<br />

6


16. To read a simple scale <strong>and</strong> <strong>to</strong> use a ruler <strong>to</strong> draw <strong>and</strong> measure<br />

lines <strong>to</strong> the nearest centimetre<br />

<strong>Steps</strong> <strong>to</strong> <strong>Success</strong><br />

1. Ensure that you have the cm side <strong>and</strong> not the mm side of the<br />

ruler.<br />

2. Place the Zero end of your rule at the end of your object,<br />

usually on the left side.<br />

3. Make sure the end of the ruler is flush with your object, <strong>and</strong><br />

use your left h<strong>and</strong> <strong>to</strong> hold it in place.<br />

4. Move <strong>to</strong> the opposite side of the object you are measuring,<br />

5. Read the last number on your rule that is alongside the object.<br />

This will indicate the "whole unit" length of the object.<br />

17. To use the mathematical names for common 2-D <strong>and</strong> <strong>to</strong> sort<br />

shapes <strong>and</strong> describe some of their features<br />

<strong>Top</strong> <strong>Tips</strong><br />

• Use the vocabulary: shape, flat, straight, curved, round,<br />

corner, side, edge, sort, circle, triangle, rectangle, square,<br />

pentagon, hexagon, octagon, circular, triangular, rectangular.<br />

• Feel a shape in a bag <strong>and</strong> name it.<br />

• Talk about the shapes <strong>and</strong> patterns in their environment <strong>and</strong><br />

take digital pho<strong>to</strong>s<br />

• Choose a shape <strong>to</strong> match the properties described by the adult<br />

<strong>and</strong> name it:<br />

• Refer <strong>to</strong> the properties of shapes such as the number of<br />

corners <strong>and</strong> sides<br />

• Programme the robot <strong>to</strong> draw squares <strong>and</strong> rectangles<br />

• Refer <strong>to</strong> properties such as: reflective symmetry<br />

• Fold 2D shapes along lines of symmetry.<br />

• Draw lines of symmetry on 2-D shapes.<br />

• Use mirrors <strong>to</strong> identify lines of symmetry.<br />

• Practice making symmetrical shapes by cutting <strong>and</strong> folding.<br />

7


18. To use the mathematical names for common 3-D <strong>and</strong> <strong>to</strong> sort<br />

shapes <strong>and</strong> describe some of their features<br />

<strong>Top</strong> <strong>Tips</strong><br />

• Use the terms: shape, solid, hollow, edge, face, straight,<br />

curved, point, corner<br />

• Focus on following shapes: Cube, Cuboid, Sphere, Cylinder,<br />

Cone , Pyramid<br />

• Describe the shape of the faces, the number of faces, edges<br />

<strong>and</strong> corners.<br />

• Sort 3-D shapes in different ways according <strong>to</strong> their properties<br />

of their faces<br />

• Make <strong>and</strong> describe shape patterns using solid shapes.<br />

• Relate solid shapes <strong>to</strong> pictures of them.<br />

• Identify solid shapes in the environment.<br />

• Discuss why some solid shapes are used as packages <strong>and</strong><br />

why others are rarely used.<br />

• Open 3D shapes <strong>to</strong> explore the nets.<br />

• Make 3D shapes.<br />

For high ability children<br />

• Read <strong>and</strong> use the terms ‘vertex’ <strong>and</strong> ‘vertices’<br />

• Know that a prism has the same cross section along its length<br />

<strong>and</strong> that the two end faces are identical<br />

• Collect examples of prisms <strong>and</strong> cylinders <strong>and</strong> match them <strong>to</strong><br />

name labels.<br />

• Name <strong>and</strong> describe solids e.g. a triangular prism.<br />

19. To use mathematical vocabulary <strong>to</strong> describe position, direction<br />

<strong>and</strong> movement<br />

<strong>Top</strong> <strong>Tips</strong><br />

Revise language: between across through backwards<br />

forwards sideways opposite underneath centre journey<br />

turn whole turn half turn<br />

Introduce vocabulary:<br />

clockwise anticlockwise quarter turn right angle straight line<br />

• Play robots – child <strong>to</strong> read direction cards- other children <strong>to</strong><br />

confirm the movement.<br />

8

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