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6th Grade Book
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7th Grade Book
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8th Grade Book
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In this unit we wil be investigating perimeter of 2-D and irregular shapes (including triangles, squares, rectangles, circles, etc). We will then expand our inquiry into the areas of these shapes.
From there we will begin looking at 3-D figures (including different prisms and cylinders) to study surface area and eventually volume!


So far we have just looked at a variety of shapes, including circles and polygons (including special polygons called quadrilaterals).
To find the perimeter of these shapes we are adding up all sides.
The formula for doing this in an equilateral triangle is: P = 3s
The formula for doing this in a square is: P = 4s
The formula for doing this in a rectangle is: P = 2(l+w)
The formula for doing this in a parallelagram is: P = 2(l+w)
The formula for doing this in a rhombus is: P = 4s
The formula for doing this in a circle is: Perimeter = Circumference = diameter*pi = 2*radius*pi
(Pi = 3.14) (diameter is across the circle, radius is from middle to edge of circle)


We are now moving to finding AREA of a shape.
To find the area of these shapes we are multiplying.
The formula for finding area of a triangle is: Area = (base x height) divided by 2, A = b * h / 2
The formula for finding area of a square is: Area = length x width, A = l * w
The formula for finding area of arectangle is: Area = length x width, A = l * w
The formula for finding area of aparallelagram is: Area = base x height, A = b * h
The formula for finding area of atrapezoid is: Area = (parallel line 1 + parallel line 2) divided by 2 * height, A = [(p1 + p2) / 2] * h
2 The formula for finding area of acircle is: Area = pi * radius squared, A = 3.14 * r
(Pi = 3.14) (diameter is across the circle, radius is from middle to edge of circle)



Surface Area - - find the area of each side of the shape and add them together.
Volume - - find the area of the base and multiply by the height of the prism.