MATH
General Notes
Geometry 30%
Strategies
use answers
don't forget the 2nd step
some answers are a set-up
Know measurement
All word problems
A) too large
B) answer
C) 2nd step
D) too small
(Order of operations)
Please Remember My Dear Aunt Sally
MATH TEST p. 404
answers from lecture:
RATIO
28)
10 km = 45km
6.2 miles x
10x = 279
x = 27.9
29) Easy D
30)
P= (18 + 22) x 2 = 80
80 = 20 For each side of square
4
Area = s squared
20 x 20 = 400 sq. units
31)
x = tie
3x = shirt
3x = slacks
2(3x) = sports coat
x + 3x + 3x + 6x = 156
13x = 156
x = 12
don't forget 2nd step
3x
3(12) = 36
32)
draw (x,y) axis
II I
III IV
33)
x = Fran
x + 4 = Tom
x + (x + 4) = 24
Fran Tom Total
34)
Don't worry about it.
35)
Algebra - I know this stuff
36)
Know fractions
3/5 > 1/2
7/13 > 1/2
23/44 > 1/2
37)
Range Idea between 1 - 100
Range = High - Low
100 - 1 = 99
Divide by LCM of 5 and 3
(divide by hand)
6 integers between 1 and 100.
38)
Asks about 5-10 and 4-8
no.
They have the same numbers contained in them.
Can't be determined
39)
xy > 0
x(1) = x
xy = x
40)
4.75
- 2.00
2.75
82.50 - 2.75
41) Easy
42) not easy
Area = 4 x 4 = 16cm sq.
1/2 shaded
1/2 unshaded
1/2 (16) = 8cm sq.
43)
give away
I missed an easy one. Use a calculator
44)
Know probability
5 weekdays out of 7 total days
5
7
45)
Know the number line, got this one right
46)
AB product
= is
A+ B sum
A + B + 5 5 more than sum
KNOW ORDER OF OPERATIONS
AB = A + B + 5
47) Combination
10 x 10 x 10 = 100
48)
multiplication problem
49)
Use answers
.30 x 80 = 24
or
.30x = 24
x = 80
50) fraction easy
51) use substitution
a < b < c < d < 0
-4 -3 -2 -1
52)
graphing, I get the graphing
53)
Commutative = order
Associative = Grouping (Paranthesis)
Distributive = a(b+c) =
ab + ac
54)
Straight Line = 180 degrees
72 + 25 + m + n = 180 degrees
m + n = 83
180
- 97
83
MOST IMPORTANT PART
GEOMETRY
Geometry p. 183
Lines
Triangles
Area/Perimeter
Surface Area
Volume
Straight Line = 180 degrees
Vertical angles = equal
Supplementary angles =180 degrees
The sum of two sides is greater than the third side.
180 degrees inside a triangle
Exterior angle = sum of opposite interior angles
Pythagorean Triples
( fill in squares)
a + b = c
Know Pythagorean triples
3, 4, 5
5, 12, 13
8, 15, 17
Area/Perimeter
Triangle are = 1 bh = Area
2
1 base x height
(Area is always sq. units)
Square Rectangle
b x h b x h
(make examples)
Parallelogram Trapezoid
A = bh A = b + b (h)
2
Find the average base x height
Circles
(write in for pie)
= 3.14
Area = Circumference =
Rectangular Solids
Cube
Cube = 6 sides
Square Area = 6 x area of one face
Volume = l x w x h
(Make a sample for Surface Area and Volume)
RATIO'S
(know Ratio's)
Coins
tail 1/2
head 1/2
2 times in row
1/2 x 1/2 = 1/4
3 times in a row
1/2 x 1/2 x 1/2 = 1/8
Dice
6 face ( cube)
1 = 1/6 4 = 1/6
2 = 1/6 5 = 1/6
3 = 1/6 6 = 1/6
Sum of 2 dice
36 possible combinations on 2 dice
Most often number rolled on two dice
greatest possibility is on a 7
(copy notes on red tab page)
Combinations
5 bread
3 cheese
4 meat
2 toppings
Use 1 of each item to make a sandwich
5 x 3 x 4 x 2 = 120 total combinations
Factorial
(draw lines)
A B C D How many ways can the books be arranged
4! = 4 x 3 x 2 x 1 = 24
A Player on a baseball team
9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
Coin = 1/2
Dice = 1/6
Sum of 2 dice = 1/36
Sandwich = 1 of each and multiply
Players on a basketball team
9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
ESSAY QUESTIONS
Which is more - Height of can or circumference of balls
Pattern Problem
At 2:00 how many degrees
At 2:35 how many degrees
$100 to spend on CD's and tapes. Tapes cost $5 and CD's cost $15. Show 3 possible solutions. Can you buy equal amounts.
Tile is 8 in. sq. Area of counter is 2 in. height and 16 in. in base.
20 tiles per box. Each box is $24.95. What is the total cost?
Putting on a play. Kids putting on a play. Goal $360. Ticket cost $3 per person. 70 seats available. Total possible for 2 shows? How many complimentary tickets can be given away and the kids still reach their goal?
Know Proportions
Compare perimeter and circumference
Compare area of circle with area of a rectangle.
ESSAY answers
Which is more - Height of can or circumference of balls
Answer:
Height = 3 in.
Circumference = 3.14(1)
Circumference is greater
Compare Stem and Leaf graph to a Bar graph
Data
53, 50, 13, 20, 22, 31, 34, 33, 45.
41, 42
(graph) Stem and Leaf plot
1) Data is in order
2) Other computing are there, like
3) median, range, and mode are easy to find.
mean = add up everything and divide by the number of items
median = number even in the middle
mode = most often
range = difference of extremes
Stem and Leaf leads to box whisker graph.
(draw diagram of steps)
How much cement?
How much carpet?
How much paint?
Pattern problem
Find the number 1,000. Row and column
A B C D E F
1 1 2 3 4 5 5
2 7 8 9 10 11 12
3 13 14 15 16 17 18