1. 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

2. 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

3. 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

4. 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

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

6. 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

7. Scientific Notation 1039 = 1.039 × 10³ Large number, positive exponent Small number, negative exponent 0.0056 = 5.6 × 10 ³

8. Scatter Plots Positive Trend/ Correlation Negative Trend/ Correlation No Trend/ Correlation

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

10. Percent Problems Part Whole % 100 Difference Original % 100 Percent change or Percent increase or percent decrease

11. Common Percent Proportions Discount ($) Original Price ($) Discount rate (%) 100 Tax ($) Original Price ($) tax rate (%) 100 Interest ($) Original amount borrowed ($) interest rate (%) 100 Interest ($) Original amount put in savings ($) interest rate (%) 100 Commission ($) Total sales ($) Rate of commission (%) 100 Tip ($) Cost of Food ($) Tip rate (%) 100

12. Proportional Relationships involve multiplication or division by a scale factor, never addition or subtraction.

13. Scale Factors To find a scale factor: If a scale factor is given, multiply it by the original. New Old

14. Graphs of Proportional Relationships are straight lines and pass through the origin (0,0) ProportionalNot Proportional

15. 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.

16. 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

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

18. 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

19. Volume & Surface Area Formulas “B” represents the AREA of the base. Draw the base and find the area. “P” represents the Perimeter of the base. Draw the base and find the perimeter (lengths of all sides added together). 5

20. 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

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

22. 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

23. Scale Factors 3 in x 6 in 10 in To find the scale factor of similar figures new old

24. 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.

25. Multiplying Fractions Is not a problem Top x top & Bottom x Bottom Remember to Reduce!!!

26. Dividing Fractions Don’t ask why, Flip the 2 nd and Multiply Remember to Reduce!!!

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

28. Proportions OK NO!!!

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

30. Common Equivalents

31. 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

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

33. Your Goal is “Pencil Proof” on every problem.

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