21st Century Lessons

Review of Ratios and Rates Unit

Primary Lesson Designer:

Stephanie Conklin

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• Spend AT LEAST 30 minutes studying the Lesson Overview, Teacher Notes on each slide, and accompanying worksheets.

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Please do the following as you prepare to deliver this lesson:

• Feel free to customize this file to match the language and routines in your classroom.

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Lesson Objective SWBAT solve real-world and mathematical problems using ratio and rate reasoning to review for unit assessment.SWBAT apply ratio language in real-world problems.

Lesson Description This lesson serves as a complete review of the ratio unit. Students will begin class with a high-interest launch and will brainstorm real-world connections that have been made to ratios and rates. We will then have students play Jeopardy. There are suggestions for Jeopardy rules, which teachers can review. The Jeopardy game has categories, questions and answers embedded in the game. There is also a final jeopardy question that can be found on slide 13. After the game, students will write a letter to an absent classmate. If time remains, students can work on a class work assignment, and review answers in class.

Lesson Overview (1 of 3)

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Lesson Vocabulary Ratio: a comparison of two quantitiesRate: a comparison of two different measurementsUnit Rate: a comparison of 2 different quantities where one measurement only has 1 unit.

Materials A class set of Jeopardy Work sheets and class workInternet access and projector

Scaffolding This lesson is interactive and also engaging for all students. Since students are working in partners, the opportunity to talk will help ELL students. Further, the letter writing to an absent class mate will allow for extra writing practice.

Enrichment Students who need an extra challenge may want to work on writing their own review questions for this lesson. These students could provide answers and explanations which could be used as a quick review for next class before the assessment.

Online Resources for Absent Students

http://www.yourteacher.com/prealgebra/unitprice.php?autoplayhttp://my.homecampus.com.sg/Learn/Primary-Grade-6/Ratio/Word-Problems

Lesson Overview (2 of 3)

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Lesson Overview (3 of 3)

Common Core State Standard

This lesson reviews all of standard 6RP:http://www.corestandards.org/the-standards/mathematics/grade-6/ratios-and-proportional-relationships/

Before and After This topic is the last lesson in the ratio unit. Previous lessons should have reviewed key concepts like ratio, rate, unit rate, tape diagrams, ratio tables and graphing. Further, students will have been exposed to a host of real-world situations that require students to use ratio and rate tools.

Topic Background Throughout this unit, we have made an effort to review and reinforce vocabulary and concepts in relation to real-world applications. This lesson will provide an overview of a variety of real-world situations where students must be rates and ratios like highest paying job, cooking, distance and time when compared to tasks (like making necklaces in certain time period).

Warm UpObjective: SWBAT solve real-world and mathematical problems using ratio and rate reasoning to review for unit assessment.Language Objective: SWBAT apply ratio language in real-world problems.

Agenda

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1) Pick two odd numbers between 0 and 100. Write these numbers as a simplified ratio.

2) Pick two even numbers between 0 and 100. Write these numbers as a simplified ratio.

3) What do you notice that is different between the ratio of #1 and #2?

Try these thinking questions for our warm-up.

Agenda:

1) Warm Up (Individual)

2) Launch – Job Offer and Brainstorm (Partner Work and Whole Class)3) Explore – JEOPARDY (Whole Class)

4) Summary – Letter to a Friend (Independent and Whole Class)5) Practice (Partner Work)

6) Assessment

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Objective: SWBAT solve real-world and mathematical problems using ratio and rate reasoning to review for unit assessment.Language Objective: SWBAT apply ratio language in real-world problems.

Launch (Partner Work)

Agenda

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After studying computer science in college, you have two job offers from both Apple and Google. Based on the information provided, which job would you choose? Why? Discuss with a partner!

Apple

Work 50 hours per week and make

$2,000.

Apple

Work 50 hours per week and make

$2,000.

Google

Work 40 hours per week and make $1,400.

Google

Work 40 hours per week and make $1,400.

Launch (Whole Class)

Agenda

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In this unit on ratio and rates, what other real-world situations have we discussed?

Brainstorm list:

Explore – Jeopardy (Whole Class)

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Agenda

Let’s play Jeopardy! Before we begin, let’s get into small groups and review the rules!

Suggested Jeopardy Rules:2-3 students per groupAll students must show their work on Jeopardy sheetWe only count points for correct answers We do NOT take away points for wrong answers (except in Final Jeopardy)1 answer per group for each question 90 seconds time limit for each question

Explore – Jeopardy (Whole Class)

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Agenda

jeopardylabs.com/play/ratio-and-rates-review-game.

Launch - Final Jeopardy (Whole Class)

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Agenda

If Oscar runs 9 miles in 72 minutes. How many miles will he run in 2 hours?

Make sure to label your answer!

ANSWER: 15 miles

2 hours = 120 minutes 120 minutes/8 minutes per mile = 15 miles

72 minutes/9 miles = 8 minutes per mile

Summary (Independent)

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Agenda

Michelle is not in class today!

Write her a letter that :1) Tells her how to write a ratio in 3 ways2) Reminds her the definition of rate 3) Reviews 2 key concepts that we covered in Jeopardy4) A suggestion on how to study for our test

Dear Michelle,

Today in class, _________________________________

_______________________________________________.

Practice – Class work (Partner Work)

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Agenda

Practice – Class work (Partner Work)

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Agenda

Answer Key

Assessment (Independent)

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Agenda

1) Write a ratio in simplest terms of students to pizzas in 3 ways.

Ms. Dean is the adviser of Eastern High School’s student council. At their last meeting, 20 students ate 5 pizzas.

2) Write a sentence explaining your ratio in #1.

3) Based on last meeting’s student to pizza ratio, how many pizzas should Ms. Dean order for the next meeting, if there will be 30 students in attendance?

4 students to 1 pizza 4 students : 1 pizza 4 students 1 pizza

For every 4 students at the meeting, 1 pizza will be eaten.

Ms. Dean will need to order 8 pizzas to feed 30 students. There will be ½ a pizza leftover.

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