GRADE 8 MATH CHART

By: Tyler Walker 2nd period

Perimeter.

The distance around a two-dimensional shape

P= 4s

Word Problem:

If the length of this rectangle is 4 and the width is 10, what is the perimeter?

Answer: 28

Square.

A polygon with 4 equal sides. P= 4s

A= s ²

Word problem:

If the length of this square is 3, and all sides equal the same, then what is the width?

Answer: 3

Rectangle

a parallelogram with four right angles.

P=2l+2w or P= 2(l+w)

Word problem:

If the width of this rectangle is 10 and the length of the rectangle is x2 of the width…what is the length?

Answer: 20

Circumference-

The distance around a closed curve.

Circle C= 2 x (pi) x r or C= (pi) x diameter.

Word problem.

If the diameter of a circle is 12, then what is the circumference?

Remember! ( C= ¶d)

Answer: 37.68

Area (square, rectangle, triangle, trapezoid, circle.)

Area is a quantity that expresses the extent of a two-dimensional surface or shape in the plane.

Square: A=s ² Rectangle: A= lw or A= bh Triangle: A= ½ bh or bh/2 Trapezoid: A= ½ (b1 + b2)h Circle: A= r ²

P- represents the perimeter of the base of a 3D figure.

- represents the area of the base of a 3D figure.

Surface area.

Circle: S= 6s² Prism: S= Ph or S= Ph + 2B Pyramid: S= ½ Pl or S= ½ Pl + B Cylinder: S= 2² ¶r h + 2¶r² or S=2¶r

(h+r)

Volume- how much three-dimensional space a substance (solid, liquid, gas, or plasma) or shape occupies or contains.

Prism: V= Bh Cylinder: V= Bh Pyramid: V= 1/3 Bh Cone: V= 1/3 Bh Sphere: V= 4/3 ¶r³

Word problem.

If the length, width and height of a square is 12, the what is the volume?

Answer: 1,728

P.E.M.D.A.S

Letters in PEMDAS stand for:P - ParenthesisE - ExponentsMD - Multiplication or Division from left to rightA/S - Addition or Subtraction from left to right

Pi (3.14159265)

The ratio of the circumference to the diameter of the circle.

¶= 3.14

Pythagorean Theorem

a² + b²= c²

Simple interest formula

I= prt

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