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