Developmental and Intermediate Algebra

Unit 0: Mindfulness of Learning Mathematics

• Mindfulness of Learning Mathematics

Unit 1: Introduction to Mathematical Objects

• 1.1 Module 1: Introduction to Mathematical Objects Number Systems

• 1.1B Decimal Numbers

• 1.2 Number Sets

• 1.4A Visualizations of Rational and Decimal Numbers

• 1.4B Ordering Numbers

• 1.5A Representing Real Numbers on a Number Line and Complex Numbers in the Complex Plane

• 1.5B Plotting Complex Numbers

• 1.5C Scientific Notation and Rounding

• 1.6A Natural Number Exponents and Properties of Exponent

• 1.6B Quotient Rule and Negative Exponents

• 1.7A Negative and Zero Exponents

• 1.7B Summary of Laws of Exponents

• 1.8A Rational Exponents and Radicals

• 1.8B Radical Notation

• 1.8C Radicals - Practice problems

• 1.8D Estimating Radicals

• 1.9A Polynomials

• 1.9B Polynomials in Formulas

• 1.9C Polynomials in Geometry

• 1.10 Function Notation

Unit 2: Arithmetic of Algebraic Objects

• 2.1A Addition as Combining “Like” Units, Module 2: Arithmetic of Algebraic Objects

• 2.1B Like Units

• 2.1C Properties of Addition

• 2.1D Addition Continued

• 2.1E Additional Examples of “Like Units”

• 2.1F Adding Fractions

• 2.2A Multiplication

• 2.2B Multiplication Algorithm

• 2.2C Using Multiplication To Add Rational Expressions

• 2.3A Subtraction as The Inverse Of Addition

• 2.3B Visualization of Subtraction

• 2.3C Absolute Value

• 2.3D Subtraction of Other Mathematical Objects

• 2.3E Subtraction of Rational Expressions

• 2.4A Factoring, Multiples

• 2.4B Least Common Multiple

• 2.4C Adding Rational Expressions

• 2.4D Factoring Polynomials

• 2.4E Factoring (or dividing) the greatest common factor

• 2.4F Adding and Subtracting Rational Expressions

• 2.5A Factoring Trinomials and a geometric interpretation

• 2.5B Factor by Grouping

• 2.5C Factoring Trinomials Using Algebra Tiles

• 2.5D Factoring Trinomials Continued

• 2.5E Binomial Factoring

• 2.5F Difference of Squares

• 2.5G Sum and Difference of Cubes

• 2.5H Application of Factoring to Sum and Difference of Rational Expressions

• 2.6A Multiplication of Rational and Radical Expressions

• 2.6B Multiplication of Rational Expressions

• 2.6C Power Rule

• 2.6D Multiplication of Radicals

• 2.6E Rationalizing Denominators of Radical Expressions

• 2.7A Division

• 2.7B Division of Decimal Numbers and Rational Expressions

• 2.7C Division Algorithms

• 2.8A Order of Operations

• 2.8B Complex Fractions

Unit 3: Solving Equations and Inequalities

• 3.1A Equations & Inequalities, Interval Notation (Module 3: Solving Equations and Inequalities)

• 3.2A Solving Equations and Inequalities

• 3.2B Percentage, Ratio, and Proportion Problems

• 3.3A Factoring and the Zero Property of Equality

• 3.4A Radical and Power Equations

• 3.5A Quadratic Equations

Unit 4: Applications and Graphing

• 4.1A Coordinate Plane Geometry (Module 4: Applications and Graphing)

• 4.1B Midpoint and Distance

• 4.2A Graphical Solutions To Equations and Inequalities

• 4.3A Graphs of Linear Equations In Two Variables: Horizontal and Vertical Lines

• 4.3B Slope of Lines

• 4.3C Slope Intercept Form of a line

• 4.3D Point Slope Form

• 4.3E System of Equations In Two Variables

• 4.4A Interpreting Graphs and Linear Models

• 4.4B Linear Models

• 4.4C Applications

• 4.5A other Applications

• 4.5B Mixture Problems

• 4.6A Rate Problems

• 4.6B Other Rate Problems

• 4.7A Using Formulas From Other Disciplines