ch 8 math
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(1) area of a triangle
(2) area or a rectangle, parallelogram
(3) area of a trapetzoid
(4) circumference of a circle 2 formulas
(5) what is pi ?
(6) area of a circle
 (1) triangle A = 1/2bh
 (2) rectangle or parallelogram A = bh or lw
 (3) trapezoid A = 1/2(b1 + b2)
 (4) C = pi (r)(r) or C = pi(d)
 (5) pi= 22/7 or pi = 3.14
 (6) circle area A = pi (r)(r)

1. natural numbers
2. whole #
3. rational #
4. irrational #
5. real #
6. integers
 1. natural = 1,2,3,4....
 2. whole = 0,1,2,3.....
 3. rational = number that can be written as fractions 1/2,3/4,22/7, 2/3 ......
 4. irrational = pi  3.14 , .666666...., repeating decimals

concept map of plane figures from polygon to square
 parallelagram  rhombus _{\ }
 / \ ^{ square}
 polygon  quadirlaterial rectangle /

 \ trapezoid

square roots are?
the inverse of squaring a number
 5^{2 } is 25 , square root of 25 is 5
 7^{2 } is 49 , square root of 49 is 7

(1) what is the Pythagorean theorem?
(2) in a right triangle the shortest sides are the legs
(3) the side opposite the right angle is the hypotenuse
(d) find the length of the hypotenuse of the triangle if the leg lengths are 12 and 9
 (1) a^{2 } + b^{2 }= c^{2}
 (d) C^{2} = a^{2 }+ b^{2}

 C^{2 }= 12^{2 }+ 9^{2}
 ^{} = 144 + 81

3D figures
what is a face
edge
prism
heigth of a prism
cube
cylinder
cone
pyramid
sphere
pyramid
 face is a flat surface shaped like a polygon
 edge is an intersection of two faces
 prism is a 3D figure with 2 parallel and congruent polygon faces
 heigth of a prism is the length of the perpendicular segment that joins the bases
 cube is a rectangular prism with square faces
 cylinder has 2 cingruent parallel circular bases
 cone 1 circular base and 1 vertex
 pyramid 3D figure , triangular faces and 1 vertex
 sphere is a set of points in space that are equal distance from a center point

surfacce area of a shape: cone pyramid, prism .... is
 surface area is the sum of all areas of its faces
 find the area of its net, area of all faces

(1) volume is
(2) volume of a rectangular prism
(3) volume of cylinder
 (1) 3D figure.
 area of base X height = X^{3 }
 (2) = Bh
 = lwh
 (3) = Bh
 = (pi)r^{2}h
