The Main How to, Understand, and Memory Card
by John Sperry

Use cards in a two-stack study system. The cards you are learning carry with you. The cards you have mastered, place in a review stack to be reviewed weekly. If during the weekly review, you find concepts, etc. you are hesitant about, carry them with you again until you have mastered them, then return them to the review stack.

Form Example
How to

Front

 State the concept from text or self Chapter and page Left side = math sideWrite the problemThen each step to solution Right side = English/Symbol (How, what, why, side) ~~~~~~~~ ~~~~~~~~ ~~~~~~~~ ~~~~~~~~ What did you do to get step 1. How did get from step 1 to step 2. What you do to get step 3 results. How you got this from step 3. Solution Write 2nd problem here - (put steps to solution on backside)

Back

 2nd problem from bottom of front side.Then steps to solution. ~~~~~~~~ ~~~~~~~~ ~~~~~~~~ ~~~~~~~~ ~~~~~~~~ Solution

Math Example
Front

 Solving equations with integers Ch. 3.6, p. 341 -2x - 7 = 21 -2x + (-7) = 21 -2x + (-7)+7 = 21+7 -2x + 0 = 28 -2x = 28 -2x ÷ (-2) = 28 ÷ (-2) 1x = -14 x = -14 Rewrote sub. as an addition of opposite Used add. Property of equality(add 7 to each side of equation) Added 7 to each side 0 is the additive identity (0 + a = a) Division property of equality(divide both sides by -2) Answer from division in step 5 1 is the multiplicative identity(1x = x) 2nd Problem: -7x + 8 - 4x = 30

Back

 -7x + 8 - 4x = 30 -7x + 8 + (-4x) = 30 -11x + 8 = 30 -11x + 8 - 8 = 30 - 8 -11x + 0 = 22 -11x = 22 -11x ÷ (-11) = 22 ÷ (-11) 1x = -2 x = -2

Math Vocabulary or Concept Card
Having in mind a clear definition of math vocabulary and concepts is vital for understanding. Use the same two-stack study process for these cards as you do the How to, Understand cards.

Form Example
Front

 Math Word or Concept (Ask in question form)

Back

 Definition/meaning Word used in a math sentence to build meaning Mathematical example A drawing or sketch that helps visualize/see the word's meaning

Word Example
Front

 What are integers?

Back

 Integers are a set of numbers that includes all the whole numbers and their opposites. Integers, like whole numbers, can be graphed, ordered and combined. Both 3 and negative 3 are integers. 5 + (-4) = 1 {...-3, -2, -1, 0, 1, 2, 3, ...}

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