Deductive versus Inductive Reasoning
Perimeter and Area
|Objectives: | |
|Calculate the area of given geometric figures. | |
|Calculate the perimeter of given geometric figures. | |
|Use the Pythagorean theorem to find the lengths of a side of a right triangle. | |
|Solve word problems involving perimeter, area, and/or right triangles. | |
|Vocabulary: | |Formulas: |
|polygon | |Area of a triangle: |
|perimeter | | |
|area | | |
|trapezoid | |Area of a rectangle: |
|parallelogram | | |
|triangle | | |
|rectangle | | |
|circle | |Area of a parallelogram: |
|circumference | | |
|radius | | |
|diameter | |Area of a trapezoid: |
|legs (of a right triangle) | | |
|hypotenuse | | |
| | |Heron’s Formula: |
| | | |
| | | |
| | |Pythagorean Theorem: |
| | | |
| | | |
| | |Circumference of a circle: |
| | | |
| | | |
| | |Area of a circle: |
Possible Classroom Examples:
Find the perimeter of the figure below:
[pic]
Find the area of each of the following polygons:
[pic] [pic]
[pic] [pic]
[pic]
Find the length of the third side of the triangle below
[pic]
Find the perimeter and area of the circle below.
[pic]
Find the perimeter and area of the semicircle below.
[pic]
Walk 100 yards south, then 120 west and then 30 yards south. How far from the original starting point are you?
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