LESSONS - MATH 124E

MODULE 1

Prerequisite Concepts (in 116)

Whole and Decimal Numbers

Examples

The Integers

Examples

Introduction to Rational Numbers

Examples

Operations on Rational Numbers

Examples

Learning Materials

#1PRE - Math 24 Concepts (Prerequisite for #1)

Texts:

Introduction to Algebra (also C&E for 116)

Videos:

Some vocabulary of algebra - https://www.youtube.com/watch?v=HFUa94G0jLw

The Order of Operations - https://www.youtube.com/watch?v=6xAaNNge4zM

The Distributive Property - https://www.youtube.com/watch?v=FmOamAIq1nA

#1 - Math 124 Concepts

Linear Equations in One Variable

Examples

#2PRE - Math 24 Concepts (Prerequisite for #2)

Text:

The Rectangular Coordinate System

Videos:

Construct a rectangular coordinate system - https://www.youtube.com/watch?v=XQGNKvTfVp0

Plot points in the rectangular coordinate system - https://www.youtube.com/watch?v=dv8ap7SvnvY

#2 - Math 124 Concepts

Linear Equations in Two Variables

Examples

Horizontal and Vertical Lines

#3 - Math 124 Concepts

Uses of the Slope of a Line

Examples

#4PRE - Math 24 Concept (Prerequisite for #4)

Text:

Systems of Linear Equations in Two Variables

Videos:

Introduction to systems of two linear equations in two variables - https://www.youtube.com/watch?v=PZOcQSTc17M

Solve systems of two linear equations in two variables using the substitution method - https://www.youtube.com/watch?v=e3IImsgLN80

Solve systems of two linear equations in two variables using the elimination method - https://www.youtube.com/watch?v=uK1vt1bIqLk

Two examples of solving systems of two linear equations in two variables using the elimination method - https://www.youtube.com/watch?v=j4Qa3_ETs1Q

#4 - Math 124 Concept

Systems of Linear Equations in Three Variables

Examples

#5 - Math 124 Concept

Solve Systems of Linear Equations using Matrices

Examples

#6PRE - Math 24 Concept (Prerequisite for #6)

Text:

Linear Inequalities in One Variable (116, also C&E in 116)

Video:

Linear inequalities in one variable - https://www.youtube.com/watch?v=RVACq9Bk8do

#6 - Math 124 Concept

Linear Inequalities in Two Variables

Examples

Systems of Linear Inequalities in Two Variables

MODULE 2

Learning Materials

#7PRE - Math 24 Concepts (Prerequisite for #7)

Text:

Interval and Set-Builder Notation

Video:

Interval and Set-Builder Notation - https://www.youtube.com/watch?v=qAOVe7iOoIM

#7 - Math 124 Concepts

Introduction to Functions

Linear and Constant Functions

Examples

#8PRE - Math 24 Concepts (Prerequisite for #8)

Texts:

Exponential Expressions

Radical Expressions

Absolute Value and Absolute Value Equations

Videos:

Evaluate exponential expressions - https://www.youtube.com/watch?v=Hb7rKvKgkuM

Use the rules of exponents - https://www.youtube.com/watch?v=Upd6zbGMO-w

Use the Order of Operations with exponents - https://www.youtube.com/watch?v=3qgZI_hIO9s

Evaluate radical expressions - https://www.youtube.com/watch?v=1S5r_Yp1ZAI

Perform operations on radical expressions - https://www.youtube.com/watch?v=CRBR10TUgOQ

Convert radical expressions to exponential expressions and vice versa - https://www.youtube.com/watch?v=tLlMqMrF0hA

Absolute value and absolute value equations - https://www.youtube.com/watch?v=2RREvxKG-uc

#8 - Math 124 Concepts

Commonly Encountered Basic Functions

#9 - Math 124 Concepts

Transformations of Commonly Encountered Basic Functions

Examples

#10PRE - Math 24 Concepts (Prerequisite for #10)

Text:

Products of Mathematical Expressions

Video:

Products of mathematical expressions - https://www.youtube.com/watch?v=lotjzSlSE50

#10 - Math 124 Concepts

Operations on Functions

Examples

#11PRE - Math 24 Concepts (Prerequisite for #11)

Texts:

Imaginary and Complex Numbers

Factoring

Videos:

Imaginary and complex numbers - https://www.youtube.com/watch?v=0hOhSb5zsFc

Introduction to factoring; Factor out common factors - https://www.youtube.com/watch?v=RrktMVefQzI

Factor by grouping - https://www.youtube.com/watch?v=zSAQEIU3IXo

Factor expressions of the form ax² + bx + c - https://www.youtube.com/watch?v=3a-fRXhrtpY

Factor expressions of the form ax² + bx + c when a = 1 - https://www.youtube.com/watch?v=IdPvclnHbwQ

Factor Difference of Squares - https://www.youtube.com/watch?v=lz-srMoERvI

#11 - Math 124 Concepts

Quadratic Equations in One Variable

Examples

A Word about Quadratic Formula Solutions

Where does the Quadratic Formula come from?

#12a - Math 124 Concepts

Quadratic Functions - Part 1

Examples

Quadratic Functions - Part 2

Examples

Comparing the two parabolic vertex formulas

Why are certain coordinates associated with the vertex of a parabola?

#12b - Math 124 Concepts

Text:

Applications of Quadratic Functions

Video:

Applications of quadratic functions - https://www.youtube.com/watch?v=w-gTi5lVRPM

#13 - Math 124 Concepts

Lesson 11PRE Review: Factoring and Complex Numbers

Polynomial Equations in One Variable

Examples

MODULE 3

#14 - Math 124 Concepts

Polynomial Functions

Examples

#15 - Math 124 Concept

Rational Equations in One Variable

Examples

#16 - Math 124 Concept

Rational Functions

Examples

#17 - Math 124 Concept

Exponential Functions

Examples

#18a - Math 124 Concept

Introduction to Logarithmic Expressions

#18b - Math 124 Concept

Logarithmic Functions

Examples

#18c - Math 124 Concepts

Logarithm Rules

Examples

Proofs of the Logarithm Rules and the Change-of-Base Formula

Logarithm Arguments of Less than or Equal to Zero. Is it possible?

#19 - Math 124 Concept

Exponential Equations in One Variable

Examples

#20 - Math 124 Concept

Logarithmic Equations in One Variable

Examples