measures of central tendency mean – average, add and divide by number of numbers median – middle...

Measures of Central Tendency

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

Choosing Measures of Central Tendency

Mean – best choice when there are no extreme values

Median - best choice if there are extreme values

Mode - best for identifying most characteristic value

Order of Operations•P – Parenthesis () First•E – Exponents Second•M/D – Multiplication & Division

from left to right•A/S – Addition & 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

Scientific Notation

1039 = 1.039 × 10³Large number, positive exponent

Small number, negative exponent

0.0056 = 5.6 × 10 ³

Scatter Plots

Positive Trend/ Correlation

Negative Trend/ Correlation

No Trend/ Correlation

Exponents

2³ = 2 × 2 × 2 = 8

2³ = 2 × 3 = 6

No!

Bad

Good

Percent Problems

Part

Whole

%100

is

of

%100

Difference

Original

%100

Proportional Relationships

involve multiplication or division by a specific

number,

never addition or subtraction.

Graphs of Proportional Relationships are straight lines

and pass through the origin (0,0)

Proportional Not Proportional

Pythagorean Theorem & Special Case Right Triangles

3

4

513

12

5

hypotenuseleg

leg

a² + b² = c²

3² + 4² = 5²

a² + b² = c²

5² + 12² = 13²

Look for special case right triangles & multiples like 6,8,10 or 30, 40, 50.

Pythagorean Theorem

a

b

c

Important points:

•Only works with RIGHT triangles.

•The longest side (opposite the right angle) must be labeled “c”.

•Shapes drawn on the sides must be SQUARES.

c²

b²

a²

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

Volume FormulasV = Bh

“B” represents the AREA of the base, not the measurement of the base.

4

57

Here, the area of the base (triangle) is 10, not 4, so substitute 10 for B.

V= 10h

More on Volume FormulasV = Bh

“h” represents the height of the prism (measured between bases), not the height of the base.

4

57

Here, the height of the prism is 7, not 5, so substitute 7 for h.

V= (10)(7) = 20 u³

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

x

6 in

10 in

To find the scale factor of similar figures

newold

Probability# of Desired Outcomes

# of Total Possible Outcomes

To find the probability of more than one event , multiply the probabilities

together.

Theoretical Probability – what ought to happen.

Experimental Probability – what really happens/happened.

Multiplying Fractions

Is not a problemTop x top

&Bottom x Bottom

Remember to Reduce!!!

Dividing Fractions

Don’t ask why,

Flip the 2nd and Multiply

Remember to Reduce!!!

Adding & Subtracting Fractions

Must have a common denominator,

then add or subtract the numerators and simplify/reduce.

Proportions

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

Griddable Responses

0

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5

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6

9

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7

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7 3 7 3

Keep Your Formula Chart On Your Desk

•USE YOUR CHART !!!

Read Carefully

Take Your Time

Relax

Think Positively

You Can Do This