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PERCENT AS A MEANS TO COMPARE FRACTIONS

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What does it mean 50% of free throws in a basketball game?

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Table of Content

Lesson 1 •I

ntroduction to comparing fractions by using percents

Lesson 2 •U

sing Percents to calculate tips

Lesson 3 •B

asketball as a context for percentages

Lesson 4 •P

ercentage of population with diabetes

Lesson 5

•Reading nutrition facts

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Lesson 1 Comparing fractions by using

percents

Aim Material

Procedure

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Aim, Materials, Procedure

Students are introduced to percents as a means to

compare fractions with unlike denominators. They are asked

to compare fractions with unlike denominators (10th's,

20th's, 25th's) by using 100th's, then changing these to percents, and ordering the

percents and fractions by size.

Handout 1: Comparing Jump Success with Different Numbers of Jumps

Handout 2: Comparing Crystals with Different Color Percentages

Assessment: Level AAssessment: Level B

Answer Key

Procedure

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Prodedure

hand out 1. Read the following: The CyberSquad is trapped on a planet by

Hacker, along with Squitters, cute little creatures who love to jump. To escape from their prison, the Squitters need to climb through a small hole, then jump to hit a button that releases the CyberSquad and Digit. The Squitters turn this into a contest among Sheldon, Ashley and Irv. The contest results are shown on handout 1.

The Squitters jumped different numbers of times.

Please order the Squitters' jumps from the best to worst, by figuring out the fraction of successful jumps by each Squitter, and figuring out who did the best, the second best, and the worst, among the three jumpers.

Video the Percent as a Means to Compare Fractions

Discuss the results on handout 1, and compare those to the results the CyberSquad obtained.

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Prodedure

Read the following: The CyberSquad must now find a crystal that will allow them to power their escape from Hacker. The crystal they seek must have a certain portion of orange color in it.

8. Distribute Handout 2: Comparing Crystals with Different Color Percentages  and ask the students to complete the handout in order to choose the crystal of the correct percentage of orange (or color).

9. Tell the students that they will watch a video clip in which the CyberSquad solves the same problem.

10. Video Finding the Right Crystal . 11. Discuss the students' results on handout 2 and compare

those to the results the CyberSquad obtained for the crystal.

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Practice

Find the percentage of the given

fractions:

3∕10 70/100

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Answer

3/10 = 30%, 3% , 33%

70/100 = 70%, 30%, 7%

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Practice

1. Write the equivalent fractions in terms of for the given fractions

3/6 4/5 ¼ 3/10 9/20

2. Then write them as percentages 3. Then order the percentages

from highest (largest) to lowest (smallest).

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Answer

3/6 = 50/100

4/5 = 80/100

¼ = 25/100

3/10 = 30/100

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Great… Now you can play?

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Standards

Connections Strand Students will recognize and use

connections among mathematical ideas.

Students will understand how mathematical ideas interconnect and build on one another to produce a coherent whole.

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Lesson 2: Using percentage to calculate tips

Aim: Students will learn to calculate 10% of a number by

understanding it as one tenth of a number.

Calculating Tips handoutAssessment: Level AAssessment: Level B

Answer Key

Procedure

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When you go out to eat it is customary to tip waiters and waitresses for their service. Usually, people tip at least 15%.

Question: When you tip, how do you figure it out?

Let’s watch the movie A Tip on Tipping together…

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We learned that…

10% of a number is 10/100 of that number or 1/10 of the number

So… 10% of 30 = 1/10 of 30 =

1/10 x 30 = = 3

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Practice

1. Find…

10% of 90 =

10% of 250 =

10% of 1500 =

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Answer

10% of 90 = 9

10% of 250 = 25

10% of 1500 = 150

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In General

Fill in the blank: When we take 10% of a number we

______________ by 10.

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In General

When we take 10% of a number we DIVIDE by 10.

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Finding 5% of a number

5% of a number is 5/100 of that number or 1/20 of the number. However, it’s easier to solve 5% by figuring out 10% and cutting the 10% calculation in half.

5% of 30 is equal to one-half of 10% of 30

So we take of 3 and get 1.5

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Finding 15% of NUMBER

To find 15% of a given number you calculate 10% of the given number and then 5% of the given number.

Then add those two together.

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Practice

Use this method to calculate the following percentages:

15% of 60

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Practice

15% of 60 is 10% of 60 + 5% of 60

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Which is your answer

9• Is it

6•Or

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Awsome!!! You can play now… Game

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Lesson 3: Basketball as a Context for Percentages Aim

Materials

Procedure

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Aim : Students learn to associate simple

fractions of wholes with equivalent percentages in the context of basketball scores and stadium capacity.

Materials: Visualizing Percents Handout

Assessment: Level AAssessment: Level BAnswer Key

Procedure

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You will watch a video clip in which Nancy Lieberman and Lynette Woodard of the WNBA's Detroit Shock discuss how popular women's basketball has become. They know the crowds have been running at about 50% capacity of the stadium, which holds 22,000 fans. They set a goal to reach 75% capacity. On a sheet of paper, ty to figure out how many more people they would need to attend to meet their goal

The Percentages in Basketball Video . 

Watch how the players solve the problem.

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Work on the handout 1 Students practice both identifying 2-D coordinate points that are plotted for them and plot points when given pairs of coordinates. 

Disscus

Work on the handout 2Students apply

their knowledge from the Cyberchase video clip to see if the three lines given will intersect

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Lesson4: Percentage of Populations with Diabetes

Aim: Students will explore how to tally the amount of carbohydrates one consumes each day.

MaterialsHandout 1: Incidence of Diabetes in U.S. Populations handout

Handout 2: Distribution of Diabetes by Race Assessment: Level AAssessment: Level B Answer Key

Procedure

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Disscus

What do you know about diabetes and nutrition?

(In advance) Ask them if they know anyone with diabetes. Ask these students to share with the class how diabetes affects that person's life.

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Video

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Assessment

Handout1

Assessment 1 Students practice reading a

nutritional label and use its information to calculate the number and percentage of calories from fat, for a food item.

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Lesson 5: The amount of carbohydrates one consumes each day

• Learn to calculate the percentage of calories one consume each day

Aim

• Handout• Movie

Materials

• Click here

Procedure

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Procedure/ Watch the movie When you have diabetes, your body

has trouble producing enough insulin to enable your body to break down sugar; therefore people with diabetes must limit their intake of sugar and it is important that they keep track of the number of carbohydrates they consume each day.

Play What’s in that box of cookie…

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Disscus

How the information helps you to make intelligent choices about their own nutrition?

Can you tell how you examine food labels, and why is important to share some interesting things you have observed.

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Assessment: Read and interpret the nutrition information on a box of nutrition facts from a cookie box Students practice reading a

nutritional label and use its information to calculate the number and percentage of calories from fat, for a food item.

assign1

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