1. Memory Aid 2014

2. Prime and Composite Numbers Prime number has only 2 divisors: E.g. 17 has 1 and 17. Composite number has more than 2 divisors: E.g. 24 has 1,2,3,4,6,8,12,24 Factorization: the number written as a product of factors. E.g. 24 written as 2 x 12 or 3 x 8 Prime factorization: the number written as a product of its prime factors. E.g. 24 = 2 x 2 x 2 x 3 or 2 3 x 3

3. Order of Operations (bedmas) 1. brackets 2. exponents 3. multiplication 4. division 5. addition 6. subtraction 3 and 4 can switch, 5 and 6 can switch

4. Cartesian plane

5. rounding Example: 875.2763 Round to the nearest hundred: 900 Round to the nearest ten: 880 Round to the nearest one: 875 Round to the nearest tenth: 875.3 Round to the nearest hundredth: 875.28 Round to the nearest thousandth 875.276 Look at the number to its right, if 5 or more add one and everything becomes zero after it, if 4 or less don’t change the number.

6. Exponents, square root 4 5 = 4 x 4 x 4 x 4 x 4 4 0 = 1 4 1 = 4 (-3) 2 = -3 x -3 = +9 (-3) 3 = -3 x -3 x -3 = -27 √16 = 4 because 4 x 4 = 16 (opposite of exponent 2)

7. Point, line, segment, ray Angle bisector

8. Factor Trees for gcf anf lcm 7 2 2 2 GCF = 2 x 3 = 6 LCM = 2 x 2 x 2 x 2 x 3 x 7 = 336

9. Graphs 2 types of variables: qualitative (flavor or color) and quantitative (height, age) Range = highest number – lowest number Mean = average (add all the numbers and divide by the number of items) Median = middle number in a list when the numbers are in order Mode = the number that occurs most often E.g. = 1,3,6,2,5,8 range = 8-1 = 7 mean = (1+3+6+2+5+8)/6 = 25/6 median = 1,2,3,5,6,8 = (3+5)/2 = 4 mode = none

10. Average Sum of all the values divided by the total number of values.

11. Integers IF YOU ARE NOT SURE = USE YOUR CALCULATOR Sum of 2 positive integers is positive Sum of 2 negative integers is negative Subtracting Integers -12 -5 = -12 + -5 = -17 26 - -14 = 26 + 14 = 40 Multiplication and Division + x + or + ÷ +  positive - x + or - ÷ +  negative - x – or - ÷ -  positive + x – or + ÷ -  negative

12. Angle types and measures Measures zero degrees an angle that is less than 90° an angle that is 90° exactly an angle that is greater than 90° but less than 180° an angle that is 180° exactly an angle that is greater than 180° Measure s 360 degrees Zero angle

13. Opposite and adjacent angles Opposite (1 = 3 or 2 = 4) Adjacent Same vertex, common side, not overlapping

14. Complementary and supplementary angles Complementary: add up to 90 degrees and form a right angle. Supplementary: add up to 180 degrees and form a straight line.

15. Alternate interior, exterior and corresponding angles Alt int, alt ext and corresponding angles are congruent or equal when 2 parallel lines intersect a transversal line.

16. Parallel, perpendicular, intersecting and perpendicular bisector

17. Triangle and quadrilateral

18. Translation and reflection Reflect by doing perpendicular lines with a triangular ruler on the reflection line. Translate by doing parallel lines to the vector (prolong vector first) with a triangle on the vector and a ruler against the triangle.

19. Algebra Rule for a series of numbers: Term = common difference x rank + number Term and rank = 2 different letters Common difference = link between numbers Number = first term of series – common difference Example: y = 4x -3 If x = 7, solve for y  y = 4 x 7 – 3 = 28 – 3 = 25 When x = 7, y = 25

20. Polygons Polygon = plane figure with closed broken line Regular polygon = all sides and angles are congruent Convex polygon = all interior angles are less than 180 o Perimeter = add all sides (be careful with units)

21. Quadrilateral page 177 important Four sided polygon Sum of interior angles = 360 degrees Pentagon =5 Hexagon = 6 Heptagon = 7 Octagon = 8 Nonagon = 9 Decagon = 10 Hendecagon = 11 Dodecagon = 12

22. Angles of polygons n = number of sides of polygon Measure one 1 of the interior angles of a regular polygon: (n – 2) x 180 ÷ n Sum of the measures of the interior angles of a polygon: S = (n-2) x 180

23. triangles Sum of interior angles = 180 degrees

24. Probabilities Dice: 1,2,3,4,5,6 Cards: 4 suits (hearts, clubs, spades, diamonds) 13 cards per suit (1-10 + jack, queen, king) And = multiply Or = add Sample space: all outcomes of an event

25. Scientific notation 235 = 2.35 x 10 2 0.0256 = 2.56 x 10 -2 4.76 x 10 3 = 476 100.02 x 10 -4 = 0.010002 Scientific to real: if positive exponent  move decimal point to the right, if negative exponent  move decimal point to the left. Real to scientific: if number is smaller than 1, exponent will be negative, if number is larger than 1, exponent will be positive.

26. conversions King Henry Doesn’t Usually Drink Chocolate Milk Kilo-, Hecto-, Deca-, unit (meter, gram, liter), Deci-, Centi-, Milli- 2 options Moving right = multiply by 10 Moving left = divide by 10 Move decimal point left or right depending on what your initial unit is and where you want to end up.

27. Decimal, percent and fraction conversions A) fraction to decimal: divide numerator by denominator B) fraction to percent: divide numerator by denominator, multiply answer by 100 and add % sign C) percent to decimal: remove % sign, divide by 100 D) percent to fraction: remove % sign, put over denominator of 100 and reduce if possible E) decimal to fraction: multiply by 100 and put over denominator of 100, reduce if possible F) decimal to percent: multiply by 100 and add % sign

28. fractions

29. Finding a common denominator: what is the least common multiple between both denominators, change both to the new number and adjust your numerator (what you do to the bottom, you also do to the top)

30. ADD, SUBTRACT fractions

31. MULTIPLY AND DIVIDE FRACTIONS

32. Negative exponents