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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