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

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

Look at the relationship of the top number to the bottom number TABLES AND PATTERNS Look at the relationship of the top number to the bottom number Place in Sequence 1 2 3 4 n 7 10 3n-2 Term This Pattern: Multiply by 3 then subtract 2

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

Start at (0,0), move left or right, then up or down Plotting Points run (x, y) jump Start at (0,0), move left or right, then up or down (-x,+y) (+x,+y) y axis x axis (-x,-y) (+x,-y)

1039 = 1.039 × 10³ 0.0056 = 5.6 × 10 ³ Scientific Notation Large 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 Good 2³ = 2 × 2 × 2 = 8 2³ = 2 × 3 = 6 No! Bad

% Percent Problems Part Whole 100 % % is of 100 Original 100 Difference % of 100 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) Not Proportional

Pythagorean Theorem & Special Case Right Triangles 13 5 3 5 hypotenuse leg leg 4 12 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.

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

Volume Formulas V = Bh “B” represents the AREA of the base, not the measurement of the base. Here, the area of the base (triangle) is 10, not 4, so substitute 10 for B. V= 10h 5 7 4

More on Volume Formulas V = Bh “h” represents the height of the prism (measured between bases), not the height of the base. Here, the height of the prism is 7, not 5, so substitute 7 for h. V= (10)(7) = 20 u³ 5 7 4

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

Similar figures have exactly the same shape but may be different sizes Similar figures have exactly the same shape but may be different sizes. Their corresponding sides are proportional, and their corresponding angles are congruent. 10 in 5 in 3 in 6 in

Scale Factors To find the scale factor of similar figures or a real car and a model car, compare lengths. Put the 2nd number over the 1st and simplify. 10 in 5 in 3 in 6 in

Area Factors and Volume Factors If the problem involves similar figures and AREA, find the scale factor 1st, then square it to get the AREA FACTOR If the problem involves similar figures and VOLUME, find the scale factor 1st, then square it to get the VOLUME FACTOR

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 Ain’t no problem Top x top & Bottom x Bottom Remember to Reduce!!!

Flip the 2nd and Multiply 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 OK OK NO!!!

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

Common Equivalents

Griddable Responses 7 3 7 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9

More on Griddables Work 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 the problem for main idea. Find and hi-lite/underline the question. Read through for details. Pay attention to every word. Circle or underline key info & cross out useless information. Draw a diagram, picture, or table if possible

…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