** LESSONS - MATH 124E - SPRING**

**MODULE 1**

Prerequisite Concepts (116)

The Integers; Simple Order of Operations

Introduction to Rational Numbers

Operations on Rational Numbers

Learning Materials #1PRE

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

Texts:Composite and Prime Numbers (Math 116)

Videos:The vocabulary of algebra

The simple Order of Operations

The Distributive Property

Definition of composite and prime numbers; Prime Factorization

Learning Materials #1 and #2PRE

#1 - Math 124 Concepts

Linear Equations in One Variable

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

Text:

Videos:Construct a rectangular coordinate system

Plot ordered pairs in a rectangular coordinate system

#2 - Math 124 Concepts

Linear Equations in Two Variables

Learning Materials #3 and #4PRE

#3 - Math 124 Concepts

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

Text:

Videos:Introduction to systems of two linear equations in two variables

Solve systems of two linear equations in two variables using the substitution method

Solve systems of two linear equations in two variables using the elimination method

Learning Materials #4

#4 - Math 124 Concept

Systems of Linear Equations in Three Variables

Learning Materials #5 and #6PRE

#5 - Math 124 Concept

Solve Systems of Linear Equations using Matrices

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

Text:Linear Inequalities in One Variable

Video:Linear inequalities in one variable

Learning Materials #6 and #7PRE

#6 - Math 124 Concept

Systems of Linear Inequalities in Two Variables

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

Text:

Video:Interval Notation and Set-Builder Notation to express a subset of numbers

Learning Materials #7 and #8PRE

#7 - Math 124 Concepts

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

Texts:

Videos:Evaluate exponential expressions

Use the rules of exponents

Use the advanced Order of Operations

Evaluate radical expressions

Perform arithmetic operations on radical expressions; Rationalize a radical in a denominator; Convert radical expressions to exponential expressions and vice versa

Simplify radical expressions

Find the absolute value; Solve absolute value equations

**MODULE 2**

Learning Materials #8 and #9PRE

#8 - Math 124 Concepts

Transformations of Common Functions

#9PRE - Math 24 Concepts (Prerequisite for #9)

Text:

Videos:Use the extension of the Distributive Property

Use FOIL; Use the Difference of Squares Formula

Learning Materials #9 and #10PRE

#9 - Math 124 Concepts

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

Texts:

Videos:Introduction to factoring; Factor out common factors

Factor by grouping

Factor expressions of the form a

x^{2}+ bx+ cFactor expressions of the form a

x^{2}+ bx+ c when a = 1Use the Difference of Squares Formula to factor

Introduction to complex numbers

Learning Materials #10

#10 - Math 124 Concepts

Quadratic Equations in One Variable

Learning Materials 11a and #11b

#11a - Math 124 Concepts

Comparing the two parabolic vertex formulas

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

#11b - Math 124 Concepts

Text:

Videos:Find the minima and maxima of quadratic functions

Find the minima and maxima given business formulas

Find the minima and maxima involving gravity

Learning Materials #12

#12 - Math 124 Concepts

Learning Materials #13

#13 - Math 124 Concepts

Lesson 10PRE Review: Factoring and Complex Numbers

Finding and Using Zeros of Polynomial Functions

Learning Materials #14

#14 - Math 124 Concept

Rational Equations in One Variable

Learning Materials #15 and #16PRE

#15 - Math 124 Concept

#16PRE - Math 24 Concepts

Text:

Video:Solve radical equations in one variable

**MODULE 3**

Learning Materials #16

#16 - Math 124 Concepts

Learning Materials #17

#17 - Math 124 Concept

Learning Materials #18

#18 - Math 124 Concept

Learning Materials #19

#19 - Math 124 Concepts

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

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

Learning Materials #20a and #20b

#20a - Math 124 Concept

Exponential Equations in One Variable

#20b - Math 124 Concept

Text:

Video:Use the exponential growth and decay formula

Use the logistic growth formula

Use the compounded interest formulas

Learning Materials #21a and #21b

#21a - Math 124 Concept

Logarithmic Equations in One Variable

#21b - Math 124 Concept

Text:

Videos:Calculate acidity and alkalinity

Calculate sound intensity

Calculate the magnitude of earthquakes

Learning Materials #22

#22 - Math 124 Concept

Introduction to Sequences and Series

Arithmetic Sequences and Series

Proofs of some Formulas used for Arithmetic Sequences and Series

Learning Materials #23

#23 - Math 124 Concept

Geometric Sequences and Series

Proofs of some Formulas used for Geometric Sequences and Series