Pre-Algebra

•  1 Properties of
  Arithmetic

  • Commutative

  • Associative

  • Distributive

  • Negation

  • Reciprocal

• 2 Exponents

  • Product of powers

  • Quotient of powers

  • Power of power

  • Power of reciprocal

  • Negation in exponent

  • Power of negation

• 3 Number Theory

  • Divisible by 2,3,4,5,6,9
    ,10

  • GCD and LCM

• 4 Fractions

  • Multiplication of fractions

  • Reciprocation

  • Division by a fraction

  • Exponentiation

  • Negation in exponent

  • Common denominator 通分

• 5 Equations and
  Inequalities

  • Perform same operation on both sides

  • Properties on inequalities

• 6 Decimals

  • Operation on decimals

  • repeating decimals

• 7 Ratios, Conver
  sions, and Rates

  • Part vs. Whole

  • Proportion, Speed

  • Rate

• 8 Percents

  • x% = x/100

  • Percentage increase 

• 9 Square Roots

  • Non-negative 

  • Exponent divided by 2

• 10 Angles

  • Acute,right, obtuse, reflex

  • Supplementary, Complementary, Congruent

  • Parallel, transversal

• 11 Perimeter and Area

  • Triangle inequality

  • Area of triangle

  • Perimeter and area of circle

• 12 Right Triangles and Q
  uadrilaterals

• 13 Data and Statistics

• Basic Arithmetic

• 14 Counting

• Problem-Solving Strategi
  es