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4b area of polygons
This document discusses formulas and strategies for computing the perimeter and area of basic shapes like triangles, parallelograms, trapezoids, and circles. It provides the formulas for finding the perimeter of squares, rectangles, and other polygons by adding the side lengths. Formulas are also given for finding the area of triangles, parallelograms, squares, rectangles, trapezoids, circles, and more complex irregular shapes by decomposing them into basic components. Examples are worked through on various pages and homework is assigned covering the material.
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4b area of polygons
- 1. 4b: Use formulasand strategies, such as decomposition, to compute the perimeter and area of triangles, parallelograms, trapezoids, the circumference and area of circles, and find the area of more complex shapes. (DOK 2)By: Deia Sanders
- 2. PerimeterThe Perimeter ofa polygon is the distance around it.Because a square and a rectangle are special types of polygons, they have a special perimeter formula. The triangle and any other unknown-sided polygon will use the “sum of all the sides” as the formula.Square = 4s (s is the length of the side)Rectangle = 2(l + w) (l is the length and w is the width)All other polygons = add the sides
- 3. Let’s Review Exampleson Page 66
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- 5. Day 2Area ofPolygons!!!
- 6. Area of PolygonsTriangle:A = ½ bhParallelogram: A = bhSquare: A = s2Rectangle: A = lw
- 7. Let’s work exampleson pages 67-69
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- 9. Day 3Area ofTrapezoids!!!
- 10. Area of TrapezoidTrapezoid: 1/2h(b1 + b2)
- 11. Let’s work exampleson pages 69-72!!
- 12. Homework Handout #3Page 97
- 13. Day 4Circumference andArea of Circles!!!
- 14. Circumference of aCircleCircumference: C = pi(d)Circumference is the distance around a circleLet’s look at page 73!
- 15. Area of aCircleThe area of a circle is the region or space inside the circle. The measurement will be measured in square units.Let’s look at page 73!
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- 18. Irregularly Shaped PolygonsStep1. Break down the original figure into more basic shapes, such as squares, rectangles, triangles, or circles.Step 2. Find the area of the basic shapes using the formulas.Step 3. Combine the areas of the basic shapes so that the area of the irregularly shaped polygon can be determined.
- 19. Lets look atpages 74 and 75!!!
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