Unit 8 - Circles & Geometry
Learning Outcomes
At the end of this unit, students should be able to: • Derive an approximation for pi (≈3.14 or 22 7 ) by gathering data and comparing the circumference to the diameter of various circles, using concrete materials or computer models • Approximate pi as 3.14 and 22 7 • Solve practical problems involving circumference and area of a circle when given the length of the diameter or radius • Solve practical problems involving area and perimeter of triangles and rectangles |
Essential Questions:
•What relationships are there among area, perimeter, and circumference? • How can the patterns of decomposing and recomposing shapes help derive formulas for geometric measurement? • What are the relationships among the parts of a circle? • What role does estimation play in solving problems? |
Vocabulary
center point
radius diameter circumfrence |
area
perimeter pi |
right triangle
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Formulas for figuring circles
Diameter
Radius
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2r = d
6r = C ; 1/2 d = r
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Area of a circle
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pi(r) squared = area of a circle
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Perimeter
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Distance around the outside of a shape
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Area
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The space inside the shape.
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