Math Processes Flashcards
PS Process
Glance Read Jot
Organize Reflect
Solve
or
*Understand *Plan *Solve
DS Process
Identify Value or Y/N Question
Separate Given Information from Question
Rephrase Question (simplify)
Use Answer Grid to Evaluate Statements
PEMDAS
Parentheses, Exponents, Multiplication & Division, Addition & Subtraction
Testing Cases Process
1) Determine possible cases
2) Choose numbers that work for the statement (only numbers that are allowed)
3) Try to prove the statement insufficient
When to use which form of FDP Equivalents
Fractions for Multiplication and Division
Decimals or Percents for Addition, Subtraction
Decimals or Percents for Comparisons
Decimals or Percents for Estimations
Decimal Operations
Addition and Subtraction: Line up the decimals
Multiplication - multiply ignoring decimal point. Total the digits in original numbers to right of decimal point. Adjust final number so that it has the same number of digits to the right of the decimal point.
Multiplication - move decimal points in numbers in opposite directions to make easier
Division - If decimal point in dividend (number under the sign), just bring straight up and do division normally
Division - if decimal point in the divisor (outer number), shift decimal point in both divisor and dividend (SAME direction) until divisor is whole number. (Compensation)
Tips for Testing Cases
1) Follow restrictions - only those that are allowed
2) Try Positive and Negative numbers
3) Odds and Evens
4) Integers and fractions (proper fractions)
5) Value questions - sufficient if there is only one answer, insufficient if 2 or more possible answers
Yes/No questions - sufficient if always Yes or always No
Insufficient if Maybe, or Sometimes Yes, Sometimes No
Percent Change
Change in Value / Original Value
Interest Formula
T = P(1+ r/n)^nt
Smart Numbers Process
0) Recognize that you can chose smart numbers
1) Choose Smart Numbers
2) Solve using smart numbers
3) Plug in smart numbers into answers and find match
Tips for Smart Numbers
Use only when no real values are used in the question or answers - fractions, percents, relative or using variables
Follow given constraints. If have to pick more than one variable, pick diff numbers. Pick with different characteristics
Avoid choosing 0, 1, or numbers already in problem.
Choose numbers that work easily. 100 is often best for percent problems, fraction problems, use common denominator