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Grade 8:  The Learning Equation Math

32.03 Area and Perimeter: Quadrilaterals and Circles

 3D Objects & 2D Shapes Refresher pp 58-59
Learning Outcomes:

The student will:

## Perimeter and Area

Multiplication Tables: the product of two numbers can be represented by the area of a rectangle where the factors are represented as the dimensions of the rectangle. Notice each square in the area grid is a unit square.

Area of a rectangle is represented by a grid of unit squares. Perimeter is the distance around the outside rectangle.

Area of a square is represented by a grid of unit squares. Perimeter is the distance around the outside square.

Area of a parallelogram is represented by a grid of unit squares. Perimeter is the distance around outside of the parallelogram.

Area of a rhombus is represented by a grid of unit squares. Perimeter is the distance around outside of the rhombus.

Area of a triangle is represented by a grid of unit squares. Perimeter is the distance around outside of the triangle.

Area of a trapezoid is represented by a grid of unit squares. Perimeter is the distance around outside of the trapezoid.

Try this applet to calculate the perimeter (distance around the shape) and area (number of squares in the shape) before studying the perimeter and area formulae:

Shape Explorer - perimeter and area on a grid

Interactive sums

 Polygon/Circle P = Perimeter C = Circumference distance around the polygon/circle A = Area triangle P = b + c + d or P = s1 + s2 + s3 A = 1/2ab Note: The area of the triangle is half the area of the corresponding parallelogram/rectangle. quadrilateral P = b + c + d + e or P = s1 + s2 + s3 + s4 don't need to memorize the formula in junior high enrichment trapezoid P = b1 + b2 + c + d or P = s1 + s2 + s3 + s4 A = 1/2ab1 + 1/2ab2) simplifies to A = 1/2a(b1 + b2) parallelogram P = 2b + 2c A = bh rhombus P = 4s A = as rectangle P = 2l + 2w A = lw square P = 4s A = s2 chevron don't need to memorize the perimeter/area formulae in junior high kite don't need to memorize the perimeter/area formulae in junior high enrichment regular polygon a = apothem length s = side length n = #sides   pentagon = "five sides" hexatagon = "six sides" heptaagon = "seven sides" octaagon = "eight sides" nonagon = "nine sides" decagon = "ten sides" P = ns A = 0.5ans = 0.5aP circle Circumference is the distance around the circle. C = Circumference C = pd A = Area A =p r2 Polygon/Circle Perimeter/Circumference

Area, Polygons, and Symmetry

Interactive sums - Areas and Volume

Lesson on Perimeter of Polygons

Lesson on Area of Rectangles

Lesson on Area of Parallelograms

Lesson on Area of Triangles

Lesson on Area of Trapezoids

Lesson on Area of a Circle

Circle Measurement

Area Flashcards

Constant Perimeter and Area(Rectangles)

Key Terms:

area, quadrilateral, circumference, p, radius, opposite sides, parallel, right angle, base, height, parallelogram, rhombus, trapezoid, circumference, radius, diameter

Prerequisite Skills:

Powers and Exponents:   Grade 7 Lesson 11.01

Order of Operations:   Grade 7 Lesson 12.03

Circle Measurement:   Grade 7 Lesson 31.01

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