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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 Mode – most, number that occurs most often
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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
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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
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TABLES AND PATTERNS 1234n 147103n-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
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Coordinate Plane Quadrant I Quadrant IV Quadrant II Quadrant III x axis y axis
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Plotting Points (+x,+y)(+x,+y) (+x,-y)(+x,-y) (-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
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Scientific Notation 1039 = 1.039 × 10³ Large number, positive exponent Small number, negative exponent 0.0056 = 5.6 × 10 ³
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Scatter Plots Positive Trend/ Correlation Negative Trend/ Correlation No Trend/ Correlation
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Exponents 2³ = 2 × 2 × 2 = 8 2³ = 2 × 3 = 6 No! Bad Good
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Percent Problems Part Whole % 100 is of % 100 Difference Original % 100
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Proportional Relationships involve multiplication or division by a specific number, never addition or subtraction.
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Graphs of Proportional Relationships are straight lines and pass through the origin (0,0) ProportionalNot Proportional
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Pythagorean Theorem & Special Case Right Triangles 3 4 5 13 12 5 hypotenuse 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.
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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
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Naming Solid Figures A solid figure is named after the shape of its base(s). Base Triangular Prism Rectangular Prism Square Pyramid Triangular Pyramid
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Volume Formulas V = Bh “B” represents the AREA of the base, not the measurement of the base. 4 5 7 Here, the area of the base (triangle) is 10, not 4, so substitute 10 for B. V= 10h
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More on Volume Formulas V = Bh “h” represents the height of the prism (measured between bases), not the height of the base. 4 5 7 Here, the height of the prism is 7, not 5, so substitute 7 for h. V= (10)(7) = 20 u³
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Similar Shapes Same shape, different size. All angles congruent. Side lengths are proportional (multiplied or divided by the same number) 2 4 12 6
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Similar figures have exactly the same shape but may be different sizes. Their corresponding sides are proportional, and their corresponding angles are congruent. 3 in 6 in 5 in 10 in
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Scale Factors 3 in x 6 in 10 in To find the scale factor of similar figures new old
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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.
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Multiplying Fractions Is not a problem Top x top & Bottom x Bottom Remember to Reduce!!!
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Dividing Fractions Don’t ask why, Flip the 2 nd and Multiply Remember to Reduce!!!
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Adding & Subtracting Fractions Must have a common denominator, then add or subtract the numerators and simplify/reduce.
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Proportions OK NO!!!
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Fractions to Decimals Top dog in the house!! DIVIDE 0.6
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Common Equivalents
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Griddable Responses 0 1 2 5 4 3 6 9 8 7 0 1 2 5 4 3 6 9 8 7 0 1 2 5 4 3 6 9 8 7 0 1 2 5 4 3 6 9 8 7 0 1 2 5 4 3 6 9 8 7 0 1 2 5 4 3 6 9 8 7 0 1 2 5 4 3 6 9 8 7 0 1 2 5 4 3 6 9 8 7 0 1 2 5 4 3 6 9 8 7 0 1 2 5 4 3 6 9 8 7 0 1 2 5 4 3 6 9 8 7 0 1 2 5 4 3 6 9 8 7 0 1 2 5 4 3 6 9 8 7 0 1 2 5 4 3 6 9 8 7 7 3
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Keep Your Formula Chart On Your Desk USE YOUR CHART !!!
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Read Carefully Take Your Time Relax Think Positively You Can Do This
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