MidSchoolMath 1

Comparing ratios and recognizing them in charts and graphs is a fundamental skill in Algebra. In Clone Wars, boss Regina is giving Kellerman and Sharma more work and a tight deadline. She explains it’s very important that they get this work done, as the fate of the company depends on it. After Regina leaves the room, Kellerman and Sharma begin complaining, saying that they will never be able to finish the work on time. Kellerman jokingly comments that they would need two of him in order to get it done. Sharma follows by saying that for every two Kellermans they would need three Sharmas to finish the work, since he’s always fixing Kellerman’s mistakes. The two get completely wrapped up in how many clones of each other they would need, and soon they make a ratio table to show different scenarios. The data provided is the image of the ratio table they have drawn, with some parts not yet filled in.

LESSON: CLONE WARSWhat does their finished table look like?

Clone Wars

Make tables of equivalent ratios relating quantities with whole-number measurements; find missing values in the table; and plot the pairs of values on the coordinate plane. Use tables to compare ratios.

The Math SimulatorTM

ImmersionPlay Clone Wars Immersion video, whole-class. Restate the question: What does their finished table look like?Facilitate classroom discussion; ask students: "What are your ideas?"

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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 Clone Wars 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.)

6.RP.A.3aRatios & Proportional Relationships

MidSchoolMath Clone Wars

Clicker QuizLaunch the Clicker Quiz, whole-class.

6.RP.A.3aRatios & Proportional Relationships

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Gladys: Working with this standard, students will need to draw on their prior understanding of the coordinate plane from 5.G.A.1 and 5.G.A.2.

Kevin: When students create ratio tables, they may initially use repeated addition to generate additional values for each quantity. Help them see that they can also generate values by multiplying the original ratio by various factors. Students should transition to view rows (or columns) of a ratio table as multiples of each other.

Megan: As students explore plotting on a graph the values in a ratio table, consider showing them how the original ratio appears as repeated horizontal and vertical movements along the line. This has strong connections to future work with rate of change and slope.

KevinSimpson

GladysGraham

MeganLeBleu

Ex. Clicker Quiz #5Standard Math Procedures

Instruction at a Glance

1 Use the shown ratios to extend each recipe table to include a common amount of either ingredient.

B: Recipe #2

2 Determine which recipe has the highest lemonade mix to water ratio.

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CLONE WARSWhat does their finished table look like?

When given new work tasks, Kellerman and Sharma like to get into “Clone Wars,” deciding how many clones of themselves it would take to finish the tasks. They often become obsessed with the “clone” scenario and can discuss it for hours.

They are currently having a clone discussion, trying to determine how many clones of themselves would be needed, given how many the other one would have.

Below is a section of the ratio table that they made to represent how many clones would be needed in different scenarios.

What does their finished table look like?

6.RP.A.3a

Make tables of equivalent ratios relating quantities with whole-number mea-surements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios.

About this standard

Date PeriodName

MidSchoolMath Clone Wars 1 of 2

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APPLYING THE STANDARD

Axel was making his great grandmother’s famous cookies. He followed the recipe below. Complete the ratio table to determine the ratio between different ingredients.

1)

Frankie is looking to add to his fish tank. He has done some research and found that different fish require a certain number of cubic feet of water to thrive. Fill in the missing information in the ratio tables and then plot the ordered pairs on the coordinate plane. (Be sure to clearly label which line represents which fish.)

2)

Using the tables and graph from question 2, write a few sentences comparing the ratios of the amount of space needed for each fish. How is this shown in the graph?

3)

Kennedy thinks the best orange juice is made using 3 cups of water and 5 cups of juice concentrate. How many cups of water and juice concentrate will she need to make 40 cups of juice? Create a table or diagram to show your reasoning.

4)

MidSchoolMath Clone Wars 2 of 2

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Here is how similar problems might look on a test.

fi sh require a certain amount of space to thrive. Fill in the missing information in the ratio tables and then plot the ordered pairs on the coordinate plane. (Be sure to clearly label which line represents which fi sh.)

How might this standard appear on a test?

Check out my worked example #1(eggs & milk)

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