Pre Algebra & Algebra Mnemonics Spelling of Arithmetic: A Rat In The House May Eat The Ice-Cream Arithmetic Properties Commutative Property The commuting distance is the same in either direction, from home to work or work to home. The Commutative Property tells us that: a + b = b + a or a × b = b × a Associative Property To associate with people is to group up with them. The Associative Property are about grouping: (a + b) + c = a + (b + c), or (a × b) × c = a × (b × c) Distributive Property To distribute something is to give it to everyone. The Distributive Property “gives” whatever’s outside the parentheses to everything inside: a (b + c)=ab + ac Dividing One Fraction with Another Keep the first fraction, Change the sign from divide to multiply, Flip the last fraction. Kentucky Chicken Fried Kangaroo Candy Flowers Koalas Chasing Ferrets

Division Algorithm (How To Do Long Division) Divide - Multiply - Subtract - Compare - Bring Down Does McDonalds Serve Cheese Burgers? Does My Sister Cook Bananas? Divide - Multiply - Subtract -Compare -Remainder Does McDonald's Sell Cheeseburgers Raw?

Feet in a Mile 5280 feet = 1 mile 5 Tomatoes 5 to (m)ate oe(s) 5 2 8 0 -- or 5,280 feet in a mile Greater Than or Less Than? < or > ? Which means greater than? Which means less than? How can you tell? The alligator has to open its mouth wider for the larger number.

Metric Unit Prefixes Metric Units of Measure in Order * Kilo * Hecto * Deca * Units [meter, liter, gram] * Deci * Centi * Milli King Hector Doesn't Usually Drink Cold Milk. King Henry Danced [Merrily / Lazily / Grandly] Drinking Chocolate Milk. For the standard units you can insert [Merrily] for meter, [Lazily] for liter, or [Grandly] for gram.

Mode & Median Mode The mode is the value there are the most of “MOde” and “MOst” have the same starting 2 letters. The mode is the Most Occuring Data Entity.

Median The median splits the data down the middle, like the median strip in a road. Which is the Numerator, which is the Denominator? Think “Notre Dame” (N before D) nUmerator Up, Denominator Down Nice Dog (N before D) Multiplying Signed Numbers Analogies can help here. From sports: we = pos, win = pos, they = neg, lose = neg, good = pos, bad = neg we win = good (pos × pos = pos) we lose = bad (pos × neg = neg) they win = bad (neg × pos = neg) they lose = good (neg × neg = pos) From friendship: friend = pos, enemy = neg My friend's friend is my friend (pos × pos = pos) My friend's enemy is my enemy (pos × neg = neg) My enemy's friend is my enemy (neg × pos = neg) My enemy's enemy is my friend (neg× neg = pos) From life: good = pos, bad = neg A good thing happening to a good person is good. (pos × pos = pos) A good thing happening to a bad person is bad. (pos × neg = neg) A bad thing happening to a good person is bad. (neg × pos = neg) A bad thing happening to a bad person is good. (neg× neg = pos)

Order of Operations The order of mathematical operations: * Parentheses * Exponents * Multiplication/Division (left to right) * Addition/Subtraction (left to right). PEMDAS Mnemonics 1. Please Excuse My Dear Aunt Sally 2. Please Educate My Daughters And Sons 3. Pursuing Education Means Dedication And Study Speed, Distance and Time

Remember the formula triangle D = distance traveled S = Average speed T = Time taken You can use the formula triangle in the following way: If you need to find D, cover up D in the triangle and you get S × T

If you need to find S, cover up S in the triangle and you get

If you need to find T, cover up T in the triangle and you get

Distance Formula Distance = rate × time • d = rt remember as dirt Linear Equations (Slope-Intercept Form) Begin, Move: the use of m and b in y = mx + b To graph such a line equation, begin at the value of b, then move according to the value (slope) of m. Multiplying Binomials Multiply the terms of two binomials in this order. For example (x- 2)(x + 1), FOIL: First, Outside, Inside, Last. Quadratic Formula A song to remember the quadratic formula sung to the tune of "Pop Goes the Weasel" x equals negative B Plus or minus square root of B squared minus four A C All over two A.