# Area "Quest"

Unit 10: Geometric Measurement and Dimension

Lesson 8 of 14

Lesson 8 of 14

## Objective: Students will be able to solve non-routine area problems.

1

#### Individual Assessment

*60 min*

In this individual assessment, students see a variety of area problems that target different kinds and levels of thinking.

- Problems #1-5 and #7 are foundational problems that require students to solve basic area problems
- Problems #6 and #8 require students to think more critically, applying different strategies (like proportional reasoning) to solve.
- Problem #9 requires students to critique someone else’s reasoning
- Problem #10 is a context application problem similar to the Grazing Goat problem students saw earlier in the unit (
**MP3**,**MP1**). - Problem #11 gives students the opportunity to discover something new—the fact that connecting the midpoints of any convex quadrilateral creates a quadrilateral whose area is half of the original figure’s area.

#### Resources

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2

#### Homework: Previewing Volume

*10 min*

Similar to how this unit has gone so far, I want to make sure I have opportunities to formatively assess my students’ understanding. I give the volume notetaker as homework so students can preview volume ideas on their own and explain their thinking in their own words, which will give me a lens into their thinking and understanding.

#### Resources

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- UNIT 1: Creating Classroom Culture to Develop the Math Practices
- UNIT 2: Introducing Geometry
- UNIT 3: Transformations
- UNIT 4: Discovering and Proving Angle Relationships
- UNIT 5: Constructions
- UNIT 6: Midterm Exam Review
- UNIT 7: Discovering and Proving Triangle Properties
- UNIT 8: Discovering and Proving Polygon Properties
- UNIT 9: Discovering and Proving Circles Properties
- UNIT 10: Geometric Measurement and Dimension
- UNIT 11: The Pythagorean Theorem
- UNIT 12: Triangle Similarity and Trigonometric Ratios
- UNIT 13: Final Exam Review

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- LESSON 1: Sectors of Circles
- LESSON 2: Making Sense of Area Formulas for Triangles, Parallelograms, Trapezoids, and Kites
- LESSON 3: Making Sense of Area Formulas for Regular Polygons and Circles
- LESSON 4: Strategies for Decomposing 2-D Figures
- LESSON 5: Sector Area Application: The Grazing Goat
- LESSON 6: Surface Area and Area Differentiation
- LESSON 7: Extreme Couponing: Pizza Edition
- LESSON 8: Area "Quest"
- LESSON 9: Introduction to Volume: Origami Boxes
- LESSON 10: Origami Boxes Gallery Walk
- LESSON 11: Volume Formulas, Cavalieri's Principle, and 2-D Cross-Sections
- LESSON 12: Real World Volume Context Problems
- LESSON 13: Ratios of Similarity and 3D Solids Generated by Revolving 2D Figures
- LESSON 14: Volume "Quest"

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