MidSchoolMath 1

The ability to use proportional relationships to solve multistep ratio and percent problems is a skill that will benefit students in real world situations. In Sport Stats, Dave and Shannon are broadcasting live for Game 1 of the American East Division Unicycle Hockey Playoffs on the TV show Ultimate Obscure Sports. During the broadcast, they planned to provide the viewers the win percentages for each of the four teams but they don’t have the percentages! They only have the win-loss records for each team. The data provided is Shannon’s notes with the win-loss records for the four teams.

LESSON: SPORT STATSWhat is the win percentage for each team?

Sport Stats

Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest; tax; markups and markdowns; gratuities and commissions; fees; percent increase and decrease; percent error.

The Math SimulatorTM

ImmersionPlay Sport Stats Immersion video, whole-class. Restate the question: What is the win percentage for each team?Facilitate classroom discussion; ask students: "What do we need to know?"

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2 Data & ComputationPrint the Data Artifact and distribute to students. Allow students work time. Ask students: "Does your answer make sense?"Consider using a sharing protocol leading to mathematical insights and/or highlighting misconceptions. Allow students to revise their work.

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3 ResolutionPlay Sport Stats Resolution video, whole-class. Prepare and give brief lecture (Teacher Instruction).

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Download the Detailed Lesson PlanAvailable on the Teacher Dashboard

+ Simulation TrainerAssign the Simulation Trainer.Use protocols that encourage students to help each other.Use Progress Monitoring to access real-time data for the classroom.Provide individual help for students who are not making progress.

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(Use student headphones.)

7.RP.A.3Ratios & Proportional Relationships

MidSchoolMath Sport Stats

Clicker QuizLaunch the Clicker Quiz, whole-class.

7.RP.A.3Ratios & Proportional Relationships

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Gladys: Students may better comprehend problems if they are asked to verbalize the situation in their own words, ensuring understanding of key words (commission, markup, fee, percent error).

Kevin: When working with percent problems, direct students to pay careful attention to what the "whole" or 100% amount refers to.

Megan: This standard has numerous connections to financial literacy. Spend ample time allowing students to explore these concepts. A place to begin might be with a low-anxiety matching activity, in which students are provided many questions using the concept of percent (tax, tip, commission, simple interest, etc.) and the corresponding answers.

KevinSimpson

GladysGraham

MeganLeBleu

Ex. Clicker Quiz #3Standard Math Procedures

Instruction at a Glance

1 Find the commission for Bob and George.

Bob: $1,800 • 0.03 = $54George: $1,500 • 0.04 = $60

$60 – $54 = $6.002 Calculate the difference.

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SPORT STATSWhat is the win percentage for each team?Dave and Shannon, of the TV show Ultimate Obscure Sports, are once again following the Unicycle Hockey League. They are in the middle of their live broadcast, about to announce the overall team standings, when they realize they do not have the win percentages for the teams. They only have the win-loss records.

Help them determine the win percentage for each team based on Shannon’s notes below.

7.RP.A.3

Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest; tax; markups and markdowns; gratuities and commissions; fees; percent increase and decrease; percent error.

About this standard

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MidSchoolMath Sport Stats 1 of 2

APPLYING THE STANDARD

MidSchoolMath 2 of 2

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How might this standard appear on a test?

Sport Stats

Complete the table. Round to the nearest cent.1)

During a science lab, Rocco determined that the boiling point of ethyl alcohol is 75°C. The actual boiling point of ethyl alcohol is 78°C. What is Rocco’s percent error?

2)

A shop owner marks up the price he pays for each item by 30% to determine the selling price. What is the selling price of a pair of sneakers, for which he pays $45.00?

3)

Jody makes a cleaning solution using 3 cups of soap, 2 cups of vinegar, and 6 cups of water.4)

Complete the chart. Use the formula i = prt where i = interest earned, p = principal (starting amount), r = interest rate, and t = time in years.

5)

If she mixes in 3 cups of soap, what is the amount of vinegar and water that she will need?

b)

If she mixes in 6 cups of vinegar, what is the amount of soap and water that she will need?

c)

What part of the solution is soap?a)

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Check out my worked example #3

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