Common Core Standards
Overarching Skill:
Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.
Standard:
Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.
Key Vocabulary:
Radius, circumference, π, A= πr• C = 2πr r = C/2π
Supporting Vocabulary:
Learning Targets:
1. Know the formula for the area of a circle and use it to solve problems.
2. Know the formulas for the circumference of a circle and use it to solve problems.3. Give an informal derivation of the relationship between the circumference and area of a circle.
Demonstrators:
1. What are the radius, circumference and area of the circle?
2. What is the relationship between circumference and area?
Previously Mastered Learning Targets:
New Content—first exposure to circle measures and the concept of pi.
Extension Learning Targets:
8.G.9 Know the formula for the volume of a cylinder and use it to solve real-world and mathematical problems.
Link to CRS:
MATH (20-23)MEASUREMENT 402.
Use geometric formulas when all necessary information is given.
Notes:
7-Geometry-4 Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.
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