Unit 9: Putting It All Together

In this optional unit, students use concepts and skills from previous units to solve problems involving Fermi problems, voting systems, and designing a course.

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Unit

Review the unit’s main ideas.

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Concept

Start with the core idea.

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Practice

Build fluency with more questions.

Set 1

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Set 2

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Advanced

Try more challenging problems.

Set 1

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Set 2

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What this unit covers

A Making Connections · 8 lessons

Goals

• Apply proportional reasoning, algebraic expressions, and percentages to model real-world situations.
• Choose an appropriate level of accuracy when reporting estimates of quantities.
• Estimate quantities in a real-world situation, and explain the estimation strategy.
• Interpret and create diagrams involving a rectangle decomposed into squares.

Lessons

1. Fermi Problems (Optional)
2. Energy Flow (Optional)
3. Making Paper (Optional)
4. If Our Class Were the World (Optional)
5. Rectangle Madness (Optional)
6. Rectangle Fractions (Optional)
7. Measurement Error (Optional)
8. How Crowded Is This Neighborhood? (Optional)

B Voting · 5 lessons

Goals

• Choose and justify which voting system seems the fairest for dealing with more than two choices.
• Critique a statement reporting the results of a vote.
• Interpret voting situations involving more than two choices through the use of ratios and percentages.

Lessons

1. How Do We Choose? (Optional)
2. More than Two Choices (Optional)
3. Comparing Voting Systems (Optional)
4. Picking Representatives (Optional)
5. Designing Districts (Optional)

C Designing a Course · 4 lessons

Goals

• Calculate the distance of a path using the circumference and number of rotations of a trundle wheel.
• Compare and contrast methods for measuring long distances.

Lessons

1. Measuring Long Distances over Uneven Terrain (Optional)
2. Building a Trundle Wheel (Optional)
3. Using a Trundle Wheel to Measure Distances (Optional)
4. Designing a 5K Course (Optional)