Unit 5 – Exponents, monomials, and polynomials

Lesson 20: Properties of Exponents

  1. Intro to exponents
  2. Products of powers
  3. Power of powers
  4. Quotient of powers

Lesson 21: Monomials

  1. Intro to monomials
  2. Multiplication of monomials
  3. Division of monomials
  4. Scientific notation
  5. Operations with scientific notation

Lesson 22: Polynomials

  1. Intro to polynomials
  2. Adding and subtracting polynomials
  3. Multiplying by monomial
  4. Multiplying by polynomial
  5. Multiplication shortcuts

Lesson 23: Factoring Polynomials

  1. Factors
  2. Using Distributive Property
  3. Factoring with tiles

Lesson 24: Factoring Special Polynomials

  1. Factoring trinomials
  2. More Factoring trinomials
  3. Factoring differences of squares
  4. Factoring perfect squares

Unit 6 – Relations, functions, and quadratic equations

Lesson 25: Intro. To Quadratic Equations and their Graphs

  1. Graphs of quadratic equations
  2. Quadratic equations I n factored form
  3. Quadratic equations in vertex form

Lesson 26: Solving Quadratic Equations by Factoring

  1. Solving quadratic equations
  2. Solving quadratic equations ll
  3. Solving quadratic equations by factoring
  4. Solving quadratic equations by factoring ll

Lesson 27: Solving Quadratic Equations by Completing the Square

  1. Factoring perfect squares
  2. Completing the square
  3. Completing the square ll
  4. Solving quadratic equations by completing the square

Lesson 28: The Quadratic Formula

  1. The quadratic formula
  2. Exact and approximate
  3. The discriminant
  4. The discriminant and X-intercept

Lesson 29: Applications of Quadratic Equations

  1. Projectile motion
  2. Finding length and width
  3. Maximizing and minimizing

Lesson 30: Functions and Function Notation

  1. Definition of a function
  2. Function notation
  3. Domain and range
  4. Finding domain from an equation

Unit 7: Rational and radical expressions and equations

Lesson 31: Rational Expressions

  1. Intro to rational expressions
  2. Multiplying rational expressions
  3. Dividing rational expressions
  4. Dividing a polynomial by a monomial
  5. Dividing a polynomial by a binomial

Lesson 32: Special Rational Equations

  1. Like denominators
  2. Unlike denominators
  3. Mixed expressions
  4. Complex fractions

Lesson 33: Rational Equations

  1. Solving rational equations
  2. More solving rational equations
  3. Mixture problems

Lesson 34: Radical Expressions

  1. Introduction to radical expressions
  2. Properties of square roots
  3. Simplifying radical expressions
  4. Adding and subtracting radical expressions
  5. Multiplying radical expressions

Lesson 35: Finding square roots

  1. Guess and check method
  2. Divide and average method
  3. Long division method

Lesson 36: Radical Equations

  1. Solving radical equations
  2. Pythagorean theorem
  3. Distance formula