1. Measures of Central Tendency and Range
Mean – average, add and divide by number of numbers
Median – middle number, order from least to greatest & find middle number
Mode – most, number that occurs most often
Range – Subtract the smallest from the largest.

2. Complementary Angles Supplementary Angles
Two angles whose measures add up to 90º.
Supplementary Angles
Two angles whose measures add up to 180º.

3. PEMDAS PLEASE – Parenthesis () First EXCUSE – Exponents Second
MY – Multiplication and
DEAR – Division from left to right
AUNT – Addition and
SALLY – Subtraction from left to right

4. Look at the relationship of the top number to the bottom number
TABLES AND PATTERNS
Look at the relationship of the top number to the bottom number
Place in Sequence 1 2 3 4 n 7 10
3n-2
Term
This Pattern: Multiply by 3 then subtract 2

5. Coordinate Plane
Quadrant II
y axis
Quadrant I
x axis
Quadrant III
Quadrant IV

6. Start at (0,0), move left or right, then up or down
Plotting Points
run (x, y) jump
Start at (0,0), move left or right, then up or down
(-x,+y)
(+x,+y)
y axis
x axis
(-x,-y)
(+x,-y)

7. When finding PART of something,
Percent
When finding PART of something,
¾ of 24 OR
5% of $28
“Of” means “multiply”
¾ x 24 = 18
0.05 x $28 = $1.40

8. All the angles of every triangle add up to 180º

9. Exponents
Good
2³ = 2 × 2 × 2 = 8
2³ = 2 × 3 = 6
No!
Bad

10. Percent Problems
Part %
Whole
100

11. Add the sales tax to the original price.
$15.00 CD
Sales Tax Rate is 6%
Find 6% OF $15.00
0.06 x = 0.9
Sales tax = $0.90
Add the sales tax to the original price.
$ $0.90 = $15.90

12. Proportional Relationships
involve multiplication or division by a specific number, never addition or subtraction.

13. Real Life Examples Proportional Relationships
Photos (enlargement/reductions)
Adjusting a recipe to feed more people of fewer people.
Similar shapes
Shadows
SOMETIMES prices are proportional, sometimes not.
Scale models, scale drawings, maps.

14. A solid figure is named after the shape of its base(s).
Naming Solid Figures
A solid figure is named after the shape of its base(s).
Base
Base
Base
Base
Triangular Prism
Square Pyramid
Rectangular Prism
Triangular Pyramid

15. Similar Shapes Same shape, different size. All angles congruent.
Side lengths are proportional (multiplied or divided by the same number) 12 4 6 2

16. Similar figures have exactly the same shape but may be different sizes
Similar figures have exactly the same shape but may be different sizes. Their corresponding sides are proportional, and their corresponding angles are congruent.
10 in
5 in
3 in
6 in

17. Scale Factors
To find the scale factor of similar figures or a real car and a model car, compare lengths. Divide new
old
10 in
5 in
3 in
6 in

18. Parts of a Circle
circumference
radius
diameter 5

19. Perimeter
The distance around the outside.
You can find the perimeter by ADDING all the sides.
Real Life Example:
How many feet of fencing do you need to surround your yard?
Find the perimeter of your yard.
= 80 ft
The perimeter is 80 ft. so you need 80 ft of fencing.
10 ft
30 ft

20. Circumference The distance around the outside of a circle.
Use the formula on your chart to find circumference.
Real Life Example:
How many feet of border do you need to surround a circular flower garden?
Find the circumference of your flower garden.

21. The number of square units needed to cover something flat.
Area
The number of square units needed to cover something flat.
Use the formula on your chart to find area. BE SURE YOU USE THE FORMULA THAT MATCHES THE SHAPE IN THE PROBLEM.
Real Life Example:
How much carpet do you need to cover your floor ?
Find the area of your room.
DANGER! Different shapes need different formulas. LOOK ON YOUR CHART!!!

22. Volume
The number of cubic units needed to fill something or to describe how much space it takes up. Use the formula on your chart to find volume.
Real Life Example:
How many cubic feet of sand are needed to fill up the sandbox?
Find the volume of the sandbox.
DANGER! Different shapes need different formulas. LOOK ON YOUR CHART!!!

23. Multiplying Fractions
Not a problem Top x top & Bottom x Bottom
Remember to Reduce!!!

24. Then multiply straight across
Dividing Fractions
Keep, Change, Flip
Then multiply straight across
Remember to Simplify/Reduce!!!

25. Adding & Subtracting Fractions
Must have a common denominator,
then add or subtract the numerators and simplify/reduce.

26. Proportions Label Them!!!!OK OK
NO!!!

27. Top dog in the house!! DIVIDE
Fractions to Decimals
Top dog in the house!! DIVIDE
0.6

28. Common Equivalents

29. Decimals to Percents Example: 0.6 = 60% Example: 5% = 0.05
Use the DP rule. (Dr. Pepper)
From D to P move the decimal two places right and write a “%”.
From P to D move the decimal two places left and get rid of the “%”.
Example: = 60%
Example: 5% = 0.05

30. Griddable Responses
7 3
7 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9

31. More on Griddables
Work these problems very carefully. Without answer choices as a way to check yourself, it is important to take your time and be accurate.
Write your answer using the correct place values. Then fill in the correct bubble in each column.

32. A Plan for Each Problem
Carefully read through at least twice before you start working.
Find and underline the question.
Read through for details. Pay attention to every word.
If you are not sure what to do after you read the problem twice, look at the answer choices for clues.
Circle or underline key info, cross out useless info. and label every number.

33. A Plan for Each Problem
If the questions talks about a figure (square, circle, triangle, etc.) but doesn’t have a picture, DRAW A PICTURE.
If you are given coordinates (ordered pairs), but you don’t know what to do, plot the points. Maybe that will give you some clues.
Draw a diagram, picture, or table if possible.
If you are confused about a problem and you see an equation, substitute numbers for letters.

34. …Plan Continued Estimate an answer if possible.
Work the problem step by step. Some problems may require several steps. Show all work to help you keep track.
Keep your math chart on your desk and use it!
Check to make sure you’ve answered the question being asked and that your answer is reasonable.
DO NOT LEAVE ANY BLANKS.

35. Keep Your Formula Chart On Your Desk
USE YOUR CHART !!!

36. Read Carefully
Take Your Time
Relax
Think Positively
You Can Do This