Measures of Central Tendency Mean – average, add and divide by number of numbers Median – middle...
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Measures of Central Tendency Mean – average, add and divide by number of numbers Median – middle number, order from least to greatest & find middle number
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Transcript of 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
1
2
5
4
3
6
9
8
7
0
1
2
5
4
3
6
9
8
7
0
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9
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7
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3
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9
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0
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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
