02.01.2014 Views

LESSON PLAN (Linda Bolin) - Granite School District

LESSON PLAN (Linda Bolin) - Granite School District

LESSON PLAN (Linda Bolin) - Granite School District

SHOW MORE
SHOW LESS

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

<strong>LESSON</strong> <strong>PLAN</strong> (<strong>Linda</strong> <strong>Bolin</strong>)<br />

Lesson Title: Measurement Benchmarks and Conversions<br />

Course: Pre-Algebra Date: December Lesson 4<br />

Utah State Core Content and Process Standards:<br />

2.2a Solve a wide variety of problems using ratios and proportional reasoning<br />

a) 4.1a Convert units of measure within the same system<br />

Lesson Objective(s): Select appropriate units of measure using benchmarks. Convert<br />

measures within a system<br />

Enduring Understanding<br />

(Big Ideas)<br />

Measurement is an essential<br />

life skill<br />

Skill Focus:<br />

Selecting units for<br />

measurement<br />

Converting measurements<br />

Essential Questions:<br />

• What common objects can be used to suggest units of<br />

measurement?<br />

• Why is it important to compare measures using the same<br />

type of unit? (Ex. Inches to inches rather than inches to<br />

feet)<br />

• How can I convert from one unit of measure to another?<br />

Vocabulary Focus:<br />

measurement benchmark, convert measures<br />

Metric units: gram, liter, meter, deka, kilo, deci, centi, milli,<br />

Standard units: ounce, pound, Ton, cup, pint, quart, gallon,<br />

inch, foot, yard, mile<br />

convert measures<br />

Materials:<br />

• Soda can, and 3 or 4 other common objects. Objects for measurement benchmarks<br />

• Smart Pal and capacity masters from the Smart Pal book, ruler, weights<br />

• TI-73’s for each student.<br />

• Converting Measures foldable pages for each student<br />

• Worksheets: Metric and Customary Benchmarks worksheet.<br />

• State Class Reference Sheet for Pre-Algebra<br />

Assessment (Traditional/Authentic): performance, questioning<br />

Ways to Gain/Maintain Attention (Primacy): coop activity, guessing and checking,<br />

graphic organizers, writing, technology, music<br />

Written Assignment:<br />

Journal: Measurement graphic organizer from board, Foldable: Converting Measures<br />

Worksheet: Metric and Customary Benchmarks<br />

Truth or Dare Game<br />

Appropriate text practice for using proportions for conversions.<br />

Post measurement vocabulary in a graphic organizer on the board (see<br />

attached).<br />

Post these questions on the board: 1. What is its length? 2. How much<br />

does it weigh? 3. What is its capacity? ( How much will it hold) 4. What is<br />

its purpose?


Starter:<br />

Content Chunks<br />

Start a journal page. Title it “Measurement”. Copy the vocabulary mind map<br />

neatly on the journal page.<br />

(see attached graphic organizer)<br />

Lesson Segment 1: What common objects can be used to suggest units of<br />

measurement?<br />

Ask students to mix around the room until you say “freeze”. The person closest<br />

to them becomes their partner. If no partner is immediately available they hold their<br />

hand up high and look for another hand up to be their partner. Have them introduce<br />

themselves to each other. Have them arrange themselves so that the partner with<br />

the most pets is facing the teacher and the other partner is standing back to back with<br />

their back facing the teacher. Tell them the facing-the-teacher partner will be<br />

describing an object and the back-to-teacher partner will be guessing what it is. Tell<br />

the facing-teacher partner to look at the questions you have posted on the board.<br />

They must use these for their clues to get the partner to guess the object. Hold up a<br />

soda can or other common object and have them give their clues. Then, have the<br />

partners change position, so the guesser now becomes the clue-giver. Have them<br />

look at the questions on the board to guide their clues. Hold up a second object.<br />

After this activity, ask the students which of the clues were difficult for them to<br />

give. Ask if any used metric measurements. Ask about how many cm the soda can<br />

is? Ask about how many gm it weighs when full and how many ml it will hold. These<br />

will be more difficult for the students to answer. Point out that this is because they do<br />

not regularly use metric units to measure. Read the “Metric Versus Customary”<br />

poem.<br />

Teach students the following song. As you sing each verse, choose one or two<br />

of the units for a stand and point activity. You will say a unit, for example<br />

“centimeter”, and have the students stand and point to something in the room that<br />

could be measured using a centimeter. Ask a couple of students to tell what they are<br />

pointing at. Ask them why the centimeter would be better than trying to use a<br />

millimeter or kilometer to measure the object they are pointing to. Repeat this Stand<br />

And Point activity for each verse choosing one or two units for students to think<br />

about.<br />

Knowing which system of measurement and which unit of measurement would<br />

be best to use is a vital skill. Selecting appropriate units can be more easily done if we<br />

can think of a common object to compare the measurements to. We call this common<br />

object a “measurement benchmark”.<br />

Work with students to complete the “Measurement: Metric and Customary<br />

Common Benchmarks” worksheet, showing some of the objects to the class to help<br />

them a visual. You may want to use the capacity pages in the Smart Pal masters<br />

book, a ruler, meter stick, some weights, etc for student reference.


Lesson Segment 2: Why is it important to compare measures using the same<br />

type of unit? (Ex. Inches to inches rather than inches to feet)<br />

Journal: Give each student a copy of the State Class Reference Sheet that can be<br />

used on the CRT tests. Students should keep this reference sheet in their journal for<br />

future use.<br />

Hand a student a regular size Hershey candy bar and you hold up a 1lb.<br />

Hershey bar. Tell the student can have it if theirs weighs more than yours. Have<br />

them read the weight on their package to the class and you look at yours and say,<br />

“Oh, no! Mine says it weighs only 1. Q. Why is this not an accurate comparison?<br />

Have two students come to the front of the class. Choose one that is about 6 ft.<br />

tall, and another much shorter. Use the ruler to measure the taller in feet and the<br />

shorter in inches and declare, “_______ (the shorter person) is the taller of the two.”<br />

When the class disagrees, defend by telling them how many inches. Q. Why is this<br />

not an accurate comparison?<br />

Obviously, when we are comparing, we need to use the same unit of measure.<br />

So, in order to compare, we must often convert units. We could use a Foldable to<br />

help us, a proportion, or we could use the graphing calculator. We will learn how to<br />

use each of these tools.<br />

Foldable: Fold the Converting Measures foldable so that the type of measure is a<br />

pocket inside a folder. Staple or tape the edges of the pocket. Cut out each<br />

measurement card. Help the students use the convert feature on the TI-73 and how<br />

to use a proportion to fill in the information on the cards. (In a proportion, one ratio<br />

is the number of smaller units in 1 of the larger units. The other is the information<br />

given and a variable). Have them practice a few with you.<br />

Staple or glue folded pocket to edge here.<br />

TI-73: Use the - < to convert measures. From the home screen type the<br />

number of units given. Push - < and select the type of measurement and the<br />

unit of measure given. Then select the unit of measure to convert to and press b.<br />

The home screen organizes the information so students can determine the scale factor<br />

used to convert the units. For example asking what 3<br />

was multiplied by to get 108 in this example, will<br />

help students find the scale factor.


Lesson Segment 3: Practice<br />

Game: Truth or Dare<br />

In this game questions are posted for the class to see or students are given a<br />

page of questions to answer. They may check with their team members for any they<br />

are not sure of. Once they have had a few minutes to check with team members, the<br />

teacher selects someone from the class to challenge another class member to, “Tell<br />

the truth, or take the dare!” The challenger asks one of the questions from the list.<br />

The student who was selected to tell the truth or take the dare must tell the truth<br />

about the problem or do a dare. The challenger dares the person to do something<br />

(that is not illegal, immoral, or extreme) such as sing Mary Had a Little Lamb, or do 5<br />

jumping jacks. The teacher, of course, has the final say as to whether a dare is<br />

appropriate or not. (Kids love this game). See the attached “Truth or Dare” page for<br />

examples. Students should be able to use their foldables or calculators since they are<br />

not required to memorize conversions.<br />

Assign additional text practice where proportions can be used for converting units as<br />

needed.<br />

Measurement Units Song<br />

(To Peter, Peter, Pumpkin Eater<br />

Lyrics by <strong>Linda</strong> <strong>Bolin</strong>)<br />

Inch and foot and yard and mile<br />

Distance measured with a smile<br />

Centimeter, meter too,<br />

Kilometer. How long are you?<br />

Ounce and pound and ton, Oh please<br />

Weigh it all with one of these<br />

Milligram and gram will do,<br />

Kilogram. How heavy are you?<br />

Ounce and cup, pint, quart and gallon<br />

Fill you up ‘til you are howlin’<br />

Millileter, liter too<br />

Fill ‘er up! How full are you?


Measurement<br />

Customary<br />

Metric<br />

Distance Weight Capacity Distance Weight Capacity<br />

inch<br />

ounce<br />

ounce<br />

meter 1 gram 1 liter 1<br />

foot<br />

pound<br />

cup<br />

milli 0.001<br />

yard<br />

ton<br />

pint<br />

centi 0.01<br />

mile<br />

quart<br />

deci 0.1<br />

gallon<br />

Unit 1<br />

deka 10<br />

hecto 100<br />

kilo 1000


Measurement: Metric and Customary<br />

Common Benchmarks<br />

Name ______________<br />

Date__________<br />

For each unit of measure in the table below, give another real world example.<br />

Type<br />

of<br />

measure<br />

Distance<br />

Length;<br />

Move<br />

across it<br />

Unit<br />

and<br />

symbol<br />

Centimeter<br />

cm<br />

(0.01 meters)<br />

METRIC<br />

Relation to Common<br />

Objects or Events<br />

1. A paper clip is about 1<br />

centimeter wide and 3<br />

centimeters long<br />

2. An unsharpened pencil is about<br />

20 centimeters long<br />

Another Real<br />

World examples:<br />

Meter<br />

m<br />

100 centimeters<br />

1. A full-size automobile is about<br />

two meters wide.<br />

2. Most classroom doors are about<br />

one meter wide.<br />

kilometer<br />

km<br />

(1,000 meters)<br />

1. 100 telephone poles end to end<br />

would extend about a<br />

kilometer.<br />

2. A kilometer is a little more than<br />

half a mile.<br />

Weight<br />

Pick it up<br />

Gram<br />

gm<br />

1. Two small paper clips weighs<br />

about a gram<br />

2. A nickel or a marble weighs<br />

about 5 grams<br />

Kilogram<br />

km<br />

(1,000 grams)<br />

1. The average weight of a<br />

newborn baby is 3 – 4<br />

kilograms<br />

2. A pair of men’s shoes weighs<br />

about one kilogram.<br />

Volume/<br />

Capacity<br />

Fill it up<br />

Temp<br />

Warm it up<br />

Liter<br />

L<br />

Degrees<br />

Celsius<br />

C<br />

1. Four average glasses hold<br />

about 1 liter of liquid.<br />

2. The gas tank of a full-size<br />

automobile holds about 90<br />

liters.<br />

1. Water freezes at 0 °<br />

2. A comfortable room is about<br />

21°


Type of<br />

Measure<br />

Distance<br />

Length;<br />

Move<br />

across it<br />

Unit and<br />

symbol<br />

Inch<br />

in or “<br />

Foot<br />

ft or ‘<br />

(12 in)<br />

Yard<br />

yd<br />

(3 ft)<br />

Customary<br />

Relation to Common Objects<br />

or Events<br />

1. A quarter is about an inch across<br />

the middle (diameter).<br />

2. A graphing calculator is about 7”.<br />

1. A ruler is one foot long<br />

2. A Math book is about a foot from<br />

top to bottom.<br />

1. From nose to tip of fingers on the<br />

outstretched arm of an average<br />

man is about a yd.<br />

2. The marked yard lines on a<br />

football field are 10 yards apart<br />

Another Real<br />

World Examples<br />

Mile<br />

mi<br />

(5,280 ft.)<br />

1. If walking briskly, an adult can<br />

walk a mile in 20 minutes.<br />

2. A mile is about a hundred football<br />

fields from goal post to goal post.<br />

Weight<br />

Pick it up<br />

Ounce<br />

oz<br />

Pound<br />

lb<br />

(16 oz)<br />

1. An average sized Snicker candy<br />

bar weighs about 5 ounces.<br />

2. A 50 cent piece weighs about half<br />

an oz.<br />

1. Two large apples weigh about a<br />

pound.<br />

2. An average newborn baby weighs<br />

between 7 and 8 pounds.<br />

Ton<br />

T<br />

1. 10 average men weigh about a<br />

Ton.<br />

2. A small car weighs about a Ton.<br />

Volume/<br />

Capacity<br />

Fill it up<br />

Ounce<br />

oz<br />

Quart<br />

qt.<br />

(32 oz)<br />

1. A soda can holds 12 oz.<br />

2. Your mouth can hold about 2<br />

ounces.<br />

1. A large drink at a convenience<br />

store holds about a quart.<br />

2. An average pitcher holds 2 quarts.<br />

Gallon<br />

gal<br />

(4 quarts)<br />

1. A gallon of chocolate milk serves<br />

about 12 people.<br />

2. An average home fish tank holds<br />

about 20 gallons of water.<br />

Temp<br />

Warm it up<br />

Degrees<br />

Fahrenheit<br />

F<br />

1. Water freezes at 32°.<br />

2. A comfortable room is about 72°.


Customary versus Metric<br />

“A pint is a pound the world around,”<br />

“It’s a cinch by the inch” don’t you know?<br />

If it’s “hard by the yard” then should we not discard<br />

An old system that’s awkward and slow?<br />

“A meter is neater” the world will declare,<br />

While the liter floods over the earth.<br />

The kilogram surely is choice of the masses,<br />

The decimal has infinite worth.<br />

A system of order; a system of sense;<br />

Who would want to use anything less?<br />

But I’m used to ounces and gallons and cups,<br />

So I guess I’ll put up with the mess.<br />

By Nancy Oliver


Truth Or Dare<br />

Measurement<br />

Name ___________<br />

Date ______<br />

1. A unit of measure for finding the length of a pencil<br />

could be a(n) ____.<br />

2. _____ is a word for a unit of measure that is common<br />

for both capacity and for weight.<br />

3. A unit of measure for capacity in the metric system is<br />

called a_________.<br />

4. Two systems of measures are _________ and ______.<br />

5. There are ________ milligrams in a gram.<br />

6. The metric system for measures is based on multiples<br />

of _____.<br />

7. A ____ is the customary unit for measuring a great<br />

distance, while a ___ is the metric unit.<br />

8. To convert liters to kiloliters, multiply liters by ____.<br />

9. To measure the weight of a marble, you should use<br />

a(n) _____.<br />

10. 3 yards is equivalent to _____ feet?<br />

11. 500 cm is equivalent to _____ meters?<br />

12. A gallon is equivalent to ____ quarts or ____ cups.<br />

13. 4.5 liters is _____ milliliters.<br />

14. 2 weeks is ____ hours.


Metric<br />

DISTANCE<br />

Metric<br />

WEIGHT (MASS)<br />

Unit<br />

Example<br />

Equivalency<br />

Unit<br />

Equivalency<br />

1 millimeter<br />

1 centimeter = _____ millimeters<br />

1 meter = _____ centimeters<br />

1 kilometer = ____ meters<br />

1 milligram<br />

1 gram = _____ milligrams<br />

1 kilogram = _____ grams<br />

1 Metric ton = _____ kilograms<br />

Unit<br />

1 milliliter<br />

Metric<br />

CAPACITY<br />

Equivalency<br />

1 liter = ______ milliliters<br />

1 kiloliter = ______ liters<br />

___ seconds = 1 min<br />

___ minutes = 1 hr<br />

___ hours<br />

___ days<br />

= 1 day<br />

= 1 wk<br />

TIME<br />

Metric<br />

TEMPERATURE<br />

___ months = 1 yr<br />

___ weeks = 1 yr<br />

_____ days = 1 yr<br />

0 ° = freezing<br />

21 ° = a very pleasant day temperature<br />

37 ° = normal body temperature<br />

100 ° = boiling


Customary<br />

DISTANCE<br />

Customary<br />

WEIGHT<br />

Unit<br />

Equivalency<br />

Unit<br />

Equivalency<br />

1 inch<br />

1 foot = ____ inches<br />

1 yard = ____ feet<br />

____ inches<br />

1 ounce<br />

1 pound = ____ ounces<br />

1 ton = ______ pounds<br />

__________ ounces<br />

1 mile = ______ yards<br />

_______ feet<br />

________ inches<br />

Unit<br />

1 ounce<br />

Customary<br />

CAPACITY<br />

Equivalency<br />

1 cup = ___ fluid ounces<br />

1 pint = ___ fluid ounces<br />

___ cups<br />

1 quart = ___ fluid ounces<br />

___ cups<br />

___ pints<br />

1 gallon = _____ fluid ounces<br />

____ cups<br />

___ pints<br />

___quarts<br />

___ seconds = 1 min<br />

___ minutes = 1 hr<br />

___ hours<br />

___ days<br />

= 1 day<br />

= 1 wk<br />

TIME<br />

Customary<br />

TEMPERATURE<br />

___ months = 1 yr<br />

___ weeks = 1 yr<br />

_____days = 1 yr<br />

32 ° = freezing<br />

72 ° = a very pleasant day temperature<br />

98.6 ° = normal body temperature<br />

212 ° = boiling

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!