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.

Complementary Angles

Two angles whose measures add up to 90º.

Supplementary AnglesTwo angles whose measures add up to 180º.

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

TABLES AND PATTERNS

1 2 3 4 n

1 4 7 10 3n-2

Look at the relationship of the top number to the bottom

number

This Pattern: Multiply by 3 then subtract 2

Place in Sequence

Term

Coordinate Plane

Quadrant I

Quadrant IV

Quadrant II

Quadrant III

x axisy axis

Plotting Points

(+x,+y)

(+x,-y)

(-x,+y)

(-x,-y)

y axis x axis

run (x, y) jump

Start at (0,0), move left or right, then up or down

PercentWhen finding PART of something,

¾ of 24 OR

5% of $28“Of” means “multiply”

¾ x 24 = 180.05 x $28 = $1.40

All the angles of every triangle add up to 180º

Exponents

2³ = 2 × 2 × 2 = 8

2³ = 2 × 3 = 6

No!

Bad

Good

Percent Problems

Part

Whole

%100

Sales Tax$15.00 CD

Sales Tax Rate is 6% Find 6% OF $15.000.06 x 15.00 = 0.9Sales tax = $0.90

Add the sales tax to the original price.

$15.00 + $0.90 = $15.90

Proportional Relationships

involve multiplication or division by a specific

number,

never addition or subtraction.

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.

Naming Solid Figures

A solid figure is named after the shape of its base(s).

Base

Base

BaseBase

Triangular Prism Rectangular

Prism

Square Pyramid Triangular

Pyramid

Similar ShapesSame shape, different size.

All angles congruent.

Side lengths are proportional (multiplied or divided by the same number)

2

4

12

6

Similar figures have exactly the same shape but may be different sizes. Their corresponding sides are proportional, and their corresponding angles are congruent.

3 in6 in

5 in 10 in

Scale Factors

3 in

5 in

6 in

10 in

To find the scale factor of similar figures or a real car and a model car, compare lengths. Divide new

old

Parts of a Circle

5

radiusdiameter

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.

30 ft

10 ft30 + 30 + 10 + 10 = 80 ft

The perimeter is 80 ft. so you need 80 ft of fencing.

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.

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!!!

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!!!

Multiplying Fractions

Not a problemTop x top

&Bottom x Bottom

Remember to Reduce!!!

Dividing Fractions

Keep, Change, Flip

Then multiply straight across

Remember to Simplify/Reduce!!!

Adding & Subtracting Fractions

Must have a common denominator,

then add or subtract the numerators and simplify/reduce.

Proportions Label Them!!!!

carsxpeople

carpeople

2013

carscar

xpeoplepeople

2013

xpeoplecars

carpeople 201

3

OK

OK

NO!!!

Fractions to Decimals

Top dog in the house!! DIVIDE

53

356.00.35

300

53

0.6

Common Equivalents

%75=75.0=

%66=66.0=

%50=5.0=2

1

%33=33.0=

%25=25.0=

43

32

32

31

3141

Decimals to Percents•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: 0.6 = 60%

Example: 5% = 0.05

Griddable Responses

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More on GriddablesWork 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.

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.

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.

…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.

Keep Your Formula Chart On Your Desk

•USE YOUR CHART !!!

Read Carefully

Take Your Time

Relax

Think Positively

You Can Do This