Perimeter, Area, Volume, and multiplying through parenthesis.

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Presentation transcript:

Perimeter, Area, Volume, and multiplying through parenthesis

In your math notebook simplify the following: 2(3 + 4) 6(4 – 7) 3(3 + 4) 4(2 + 5 ) 2 22

Perimeter: Remember that the perimeter is the distance around something.

Perimeter: Perimeter is the fence.

Perimeter: Remember that the perimeter is the distance around something. Perimeter is the fence.

Perimeter: Remember that the perimeter is the distance around something. Perimeter is the fence. Perimeter is shown as “P”

Perimeter: Remember that the perimeter is the distance around something. Perimeter is the fence. Perimeter is shown as “P” Square….P = 4s s is the side length. Rectangle….P = 2(l + w) l is the length and w is the width.

Find the perimeter: 7

710

Find the perimeter: 710 6

Find the perimeter: x

Find the perimeter: 4 3

Find the perimeter: x

Find the perimeter: x 3x 2x

Area Remember that area is the amount of space something takes up.

Area Area is the field.

Area Remember that area is the amount of space something takes up. Area is the field. Area is shown as “A”

Area Remember that area is the amount of space something takes up. Area is the field. Area is shown as “A” Square….A = s s is the side length. Rectangle….A = lw l is the length and w is the width. 2

Find the area: 7

710

Find the area: 710 x

Find the area: 710 x 5x

Find the area: 6 10

Find the area:

Find the area: x

Find the area: x 2x 4x

Volume: Remember volume is what it takes to fill something in completely.

Volume: Volume is the water in the pool.

Volume: Remember volume is what it takes to fill something in completely. Volume is the water in the pool. Volume is shown as “V”

Volume: Remember volume is what it takes to fill something in completely. Volume is the water in the pool. Volume is shown as “V” Cube…..V = s s is the side of the cube. Rectangular Prism…V = Bh B is the area of the base. B = lw h is the height. 3 l w h

Find the volume: 6

6 10

Find the volume: 6 10 x

Find the volume: 6 10 x3x

Find the volume: 4 2 3

Find the volume: x x 3

Find the volume: x x 3 4x 2x 3x

Multiplying through parenthesis: When you multiply through parenthesis follow these steps:

Multiplying through parenthesis: When you multiply through parenthesis follow these steps: First terms

Multiplying through parenthesis: When you multiply through parenthesis follow these steps: First terms Outside terms

Multiplying through parenthesis: When you multiply through parenthesis follow these steps: First terms Outside terms Inside terms

Multiplying through parenthesis: When you multiply through parenthesis follow these steps: First terms Outside terms Inside terms Last terms

Multiplying through parenthesis: When you multiply through parenthesis follow these steps: First terms x * x Outside terms x * -1 Inside terms 2 * x Last terms 2 * -1 (x + 2)(x – 1)