Course Resources Math 1030

Chapter 5 – Percent

5.1 Ratio and Proportions

• Find an Unknown in a Proportion
• Finding Unit Prices
• Finding Unit Rates
• Introduction to Ratios (new HD version)
• Mountain height word problem
• Proportion Application
  Beth Dixon
• Proportion validity example
• Ratio and Proportion
• Ratios as Fractions in Simplest Form
• Simplifying Rates and Ratios
• Writing Proportions

 

Chapter 10 – Graphing Equations and Inequalities

10.6 Introduction to Functions

• Domain and Range of a Function
• Domain and Range of a Function Given a Formula
• Function example problems
• Functional Relationships 1
• Graphical Relations and Functions
• Recognizing Linear Functions (1.4/1.5)
• Relations and Functions
• Testing if a relationship is a function

 

Chapter 12 – Exponents and Polynomials

12.1 Exponents

• Dividing Monomials
• Exponent Properties 1
• Exponent Properties 2
• Exponent Properties 3
• Exponent Properties Involving Products
• Exponent Rules Part 1: Introduction to exponent rules
• Exponent Rules Part 2
• Multiplying and Dividing Monomials 1

12.2 Negative Exponents and Scientific Notation

• Dividing in scientific notation example
• Exponent Properties 4
• Exponent Properties Involving Quotients
• Multiplying in Scientific Notation
• Multiplying in scientific notation example
• Negative Exponent Intuition: Intuition on why a^-b = 1/(a^b) (and why a^0 =1)
• Scientific Notation Example 2
• Scientific Notation Examples: More scientific notation examples
• Scientific Notation I

12.3 Introduction to Polynomials

• Evaluating a polynomial at a given value
• Polynomials1
• Polynomials 2
• Simply a polynomial
• Terms coefficients and exponents in a polynomial

12.4 Adding and Subtracting Polynomials

• Adding and Subtracting Polynomials 1
• Adding and Subtracting Polynomials 2
• Adding and Subtracting Polynomials 3
• Adding Polynomials
• Addition and Subtraction of Polynomials
• Subtracting Polynomials
• Subtracting polynomials with multiple variables

12.5 Multiplying Polynomials

• More multiplying polynomials
• Multiplying binomials example 1
• Multiplying Monomials
• Multiplying Monomials by Polynomials
• Multiplying Polynomials 3

12.6 Special Products

• FOIL for multiplying binomials
• Multiplying binomials word problem
• Multiplying binomials to get difference of squares
• Special Products of Binomials
• Square a Binomial
• Squaring a binomial
• Squaring a binomial example 2

 

Chapter 13 – Factoring Polynomials

13.1 The Greatest Common Factor

• Factor expressions using the GCF
• Factoring and the Distributive Property 2
• Factoring and the Distributive Property 3
• Factoring by Grouping - Factoring Part 2
  Beth Dixon
• Greatest Common Factors - Factoring Part 1
  Beth Dixon
• Monomial Greatest Common Factor

13.2 Factoring Trinomials of the Form

• Example 1: Factoring quadratic expressions
• Example 1: Factoring trinomials with a common factor
• Factoring Quadratic Expressions
• Factoring x^2 + bx + c -- Factoring part 4
  Beth Dixon

13.3 Factoring Trinomials of the form

• Example 4: Factoring by grouping
• Example 5: Factoring by grouping
• Factor by Grouping and Factoring Completely
• Factoring Trinomials by Grouping 5

13.4 Factoring Trinomials of the form by Grouping

• Example: Basic grouping
• Factoring ax^2 + bx + c - Factoring part 3a
  Beth Dixon
• Factoring ax^2 + bx + c - Factoring part 3b
  Beth Dixon

13.5 Factoring Perfect Square Trinomials and the Difference of Two Squares

• Example: Factoring a fourth degree expression
• Example: Factoring perfect square trinomials
• Example: Factoring special products
• Example 1: Factoring difference of squares
• Example 2: Factoring difference of squares

13.6 Solving Quadratic Equations by Factoring

• Factoring Special Products

 

Chapter 14 – Rational Expressions

14.2 Multiplying and Dividing Rational Expressions

• Multiplying and Dividing Rational Expressions 1
• Multiplying and Dividing Rational Expressions 2
• Multiplying and Dividing Rational Expressions 3

14.5 Solving Equations Containing Rational Expressions

• Algebra: Linear Equations 4: Solving linear equations with variable expressions in the denominator
• Rational Equations
• Solving Rational Equations 2
• Solving Rational Equations 3

 

Chapter 15 - Roots and Radicals

15.1 Introduction to Radicals

• Domain of a Radical Function
• Finding Cube Roots
• Simplifying Radical Expressions 1

15.5 Solving Equations Containing Radicals

• Extraneous Solutions to Radical Equations
• Solving Radical Equations

15.6 Radical Equations and Problem Solving

• Introduction to the Pythagorean Theorem
• Pythagorean Theorem 1
• Pythagorean Theorem 2
• Pythagorean Theorem 3
• Pythagorean Theorem II
• The Pythagorean Theorem

 

Chapter 16 – Quadratic Equation

16.1 Solving Quadratic Equations by the Square Root Property

• Simple Quadratic Equation

16.3 Solving Quadratic Equations by the Quadratic Formula

• Discriminant for Types of Solutions for a Quadratic
• Discriminant of Quadratic Equations
• Example 4: Applying the quadratic formula
• Example 5: Using the quadratic formula
• Quadratic Equations in Standard Form
• Quadratic Formula 1
• Quadratic Formula 2
• Quadratic Formula 3

16.4 Graphing Quadratic Equations in Two Variables

• Graphing a parabola with a table of values
• Parabola vertex and axis of symmetry

16.5 Interval Notation, Finding Domains and Ranges from Graphs, and Graphing Piecewise-Defined Functions

• Domain of a function