Advanced Pre-Algebra Table of Contents

 

Unit 1:  Signed Numbers

  1. Adding signed numbers
  2. Subtracting signed numbers
  3. Multiplying and dividing signed numbers
  4. Homework
  5. Assessment

Unit 2:  Order of Operations

  1. PEMDAS
  2. Homework
  3. Assessment

Unit 3:  Exponents

  1. Using powers with signed numbers and parentheses
  2. Apply the 3 rules of exponents
  3. Negative exponents
  4. Combining like terms (adding and subtracting)
  5. Multiplying and dividing with exponents
  6. Homework
  7. Assessment

Unit 4:  Solving Equations

  1. Understanding inverse operations and solving 1-step equations
  2. Solving 2-step equations
  3. Solving equations with variables on both sides
  4. Solving equations using the distributive property
  5. Solving equations with fractional terms
  6. Homework
  7. Assessment

Unit 5:  Percents

  1. Converting from words to algebraic expressions using percents
  2. Percent of change
  3. Homework
  4. Assessment

 

Unit 6:  Inequalities and Absolute Values

  1. Solving inequalities
  2. Compound inequalities:  the AND case
  3. Compound inequalities:  the OR case
  4. Solving absolute value problems:  the = case
  5. Solving absolute values problems:  the < case
  6. Solving absolute values problems:  the > case
  7. Homework
  8. Assessment

Unit 7:  Radicals

  1. Perfect Square roots
  2. Square roots with irrational parts
  3. Square roots with variable parts
  4. Rationalizing the denominator
  5. Homework
  6. Assessment

Unit 8:  Factoring and Solving Quadratic equations

  1. Factoring out Greatest Common Factors
  2. Solving quadratics with simple factoring
  3. Solving quadratics with advanced factoring
  4. Solving quadratics with Perfect Square = Perfect Square
  5. Solving quadratics by completing the square
  6. Solving quadratics by using the Quadratic Formula
  7. Homework
  8. Assessment

Unit 9:  Linear Equations

  1. Translations of linear, quadratic, and absolute values
  2. Locating slopes and y-intercepts
  3. Finding x-intercepts
  4. Understanding slope directions
  5. Graphing lines by using slope and y-intercept
  6. Calculating slope with 2 points
  7. Finding equations of lines with point slope formula
  8. Finding equations of lines through 2 points
  9. Finding equations of line parallel or perpendicular to a given line through a given point
  10. Homework
  11. Assessment

Unit 10:  Solving Systems of Equations

  1. Solving systems of equations graphically
  2. Solving systems of equations by 1- step elimination
  3. Solving systems of equations by 2-step elimination
  4. Solving systems of equations by substitution
  5. Homework
  6. Assessment

Unit 11:  Word Problems

  1. Consecutive integer problems
  2. Basic Distance = Rate X Time problems
  3. Mixture Problems
  4. Coin Problems
  5. Homework
  6. Assessment

Unit 12:  Summary sheets & Final Exam

  1. Summary sheet:  Unit 1
  2. Summary sheet:  Unit 2
  3. Summary sheet:  Unit 3
  4. Summary sheet:  Unit 4
  5. Summary sheet:  Unit 5
  6. Summary sheet:  Unit 6
  7. Summary sheet:  Unit 7
  8. Summary sheet: Unit 8
  9. Summary sheet:  Unit 9
  10. Summary sheet:  Unit 10
  11. Summary sheet:  Unit 11
  12. Final Exam