Mini-Mod 1 Whole Numbers
1.1 Whole Numbers
1.2 Rounding
1.3 Adding Whole Numbers; Estimation
1.4 Subtracting Whole Numbers
1.5 Basic Problem Solving
1.6 Multiplying Whole Numbers
1.7 Dividing Whole Numbers
1.8 More with Multiplying and Dividing
1.9 Exponents
1.10 Order of Operations and Whole Numbers
1.11 More Problem Solving
Mini-Mod 2 Factors and Fractions
2.1 Factors
2.2 Prime Factorization
2.3 Understanding Fractions
2.4 Simplifying Fractions - GCF and Factors Method
2.5 Simplifying Fractions - Prime Factors Method
2.6 Multiplying Fractions
2.7 Dividing Fractions
2.8 Applications of Multiplying and Dividing Fractions
Mini-Mod 3 LCM and Fractions
3.1 Finding the LCM - List Method
3.2 Finding the LCM - GCF Method
3.3 Finding the LCM - Prime Factor Method
3.4 Writing Fractions with an LCD
3.5 Adding and Subtracting Like Fractions
3.6 Adding and Subtracting Unlike Fractions
3.7 Order of Operations and Fractions
3.8 More Applications of Adding and Subtracting Fractions
Mini-Mod 4 Mixed Numbers
4.1 Changing a Mixed Number to an Improper Fraction
4.2 Changing an Improper Fraction to a Mixed Number
4.3 Multiplying Mixed Numbers
4.4 Dividing Mixed Numbers
4.5 Adding Mixed Numbers
4.6 Subtracting Mixed Numbers
4.7 Adding and Subtracting Mixed Numbers - Improper Fractions
4.8 Applications of Operations with Mixed Numbers
Mini-Mod 5 Operations with Decimals
5.1 Decimal Notation
5.2 Comparing Decimals
5.3 Rounding Decimals
5.4 Adding and Subtracting Decimals
5.5 Multiplying Decimals
5.6 Dividing Decimals
5.7 Order of Operations and Decimals
5.8 Converting Fractions to Decimals
5.9 Converting Decimals to Fractions
Mini-Mod 6 Ratios, Rates, and Percents
6.1 Ratios
6.2 Rates
6.3 Proportions
6.4 Percent Notation
6.5 Percent and Decimal Conversions
6.6 Percent and Fraction Conversions
6.7 The Percent Equation
6.8 The Percent Proportion
6.9 Percent Applications
Mini-Mod 7 U.S. and Metric Measurement
7.1 U.S. Length
7.2 U.S. Weight and Capacity
7.3 Metric Length
7.4 Metric Mass and Capacity
7.5 Converting between U.S. and Metric Units
7.6 Time and Temperature
Mini-Mod 8 Introduction to Geometry
8.1 Lines and Angles
8.2 Figures
8.3 Perimeter - Definitions and Units
8.4 Finding Perimeter
8.5 Area - Definitions and Units
8.6 Finding Area
8.7 Understanding Circles
8.8 Finding Circumference
8.9 Finding Area — Circles
Mini-Mod 9 More Geometry
9.1 Volume - Definitions and Units
9.2 Finding Volume
9.3 Square Roots
9.4 The Pythagorean Theorem
9.5 Similar Figures
9.6 Finding Missing Lengths
9.7 Congruent Triangles
9.8 Applications of Geometric Figures
Mini-Mod 10 Statistics
10.1 Bar Graphs and Histograms
10.2 Line Graphs
10.3 Circle Graphs
10.4 Mean
10.5 Median
10.6 Mode
10.7 Introduction to Probability
Mini-Mod 11 Real Numbers and Variables
11.1 Introduction to Real Numbers
11.2 Graphing Rational Numbers Using a Number Line
11.3 Translating Phrases into Algebraic Inequalities
11.4 Finding the Absolute Value of a Real Number
Mini-Mod 12 Adding and Subtracting with Real Numbers
12.1 Adding Real Numbers with the Same Sign
12.2 Adding Real Numbers with Different Signs
12.3 Finding the Opposite of a Real Number
12.4 Subtracting Real Numbers
12.5 Addition Properties of Real Numbers
12.6 Applications of Adding and Subtracting Real Numbers
Mini-Mod 13 Multiplying and Dividing with Real Numbers
13.1 Multiplying Real Numbers
13.2 Finding the Reciprocal of a Real Number
13.3 Dividing Real Numbers
13.4 Exponents and the Order of Operations
13.5 The Distributive Property
13.6 Multiplication Properties of Real Numbers
13.7 Applications of Multiplying and Dividing Real Numbers
Mini-Mod 14 Variables and Expressions
14.1 Introduction to Expressions
14.2 Evaluating Algebraic Expressions
14.3 Simplifying Expressions
14.4 Simplifying Expressions with Parentheses
14.5 Translating Words into Symbols
Mini-Mod 15 Introduction to Solving Linear Equations
15.1 Translating Words into Equations
15.2 Linear Equations and Solutions
15.3 Using the Addition Property of Equality
15.4 Using the Multiplication Property of Equality
15.5 Using the Addition and Multiplication Properties Together
Mini-Mod 16 Solving More Linear Equations and Inequalities
16.1 Solving Equations with Variables on Both Sides
16.2 Solving Equations with Parentheses
16.3 Solving Equations with Fractions
16.4 Solving a Variety of Equations
16.5 Solving Equations and Formulas for a Variable
16.6 Solving and Graphing Linear Inequalities
16.7 Applications of Linear Equations and Inequalities
Mini-Mod 17 Introduction to Graphing Linear Equations
17.1 The Rectangular Coordinate System
17.2 Graphing Linear Equations by Plotting Points
17.3 Graphing Linear Equations Using Intercepts
17.4 Graphing Linear Equations of the Form x=a, y=b, and y=mx
17.5 Applications of Graphing Linear Equations
Mini-Mod 18 Slope and the Equation of a Line
18.1 The Slope of a Line
18.2 Slope-Intercept Form
18.3 Graphing Lines Using the Slope and y-Intercept
18.4 Writing Equations of Lines Using a Point and Slope
18.5 Writing Equations of Lines Using Two Points
18.6 Writing Equations of Parallel and Perpendicular Lines
18.7 Graphing Linear Inequalities in Two Variables
18.8 Applications of Linear Equations and Slope
Mini-Mod 19 Introduction to Functions
19.1 Relations and Functions
19.2 The Vertical Line Test
19.3 Function Notation
19.4 Evaluating Functions
19.5 Applications of Functions
Mini-Mod 20 Solving Systems of Linear Equations
20.1 Introduction to Systems of Linear Equations
20.2 Solving by the Graphing Method
20.3 Solving by the Substitution Method
20.4 Solving by the Elimination Method
20.5 Solving a System in Three Variables by the Elimination Method
20.6 Applications of Systems of Linear Equations
Mini-Mod 21 Introduction to Polynomials and Exponent Rules
21.1 Introduction to Polynomials
21.2 Addition of Polynomials
21.3 Subtraction of Polynomials
21.4 Product Rule for Exponents
21.5 Power Rule for Exponents
Mini-Mod 22 Multiplying Polynomials
22.1 Multiplying by a Monomial
22.2 Multiplying Binomials
22.3 Multiplying Polynomials
22.4 Multiplying the Sum and Difference of Two Terms
22.5 Squaring Binomials
Mini-Mod 23 Dividing Polynomials and More Exponent Rules
23.1 The Quotient Rule
23.2 Integer Exponents
23.3 Scientific Notation
23.4 Dividing a Polynomial by a Monomial
23.5 Dividing a Polynomial by a Binomial
Mini-Mod 24 Factoring Polynomials
24.1 Greatest Common Factor
24.2 Factoring by Grouping
24.3 Factoring Trinomials of the Form x ^{2}+bx+c
24.4 Factoring Trinomials of the Form ax ^{2}+bx+c
24.5 More Factoring of Trinomials by the Reverse FOIL Method
24.6 Factoring Trinomials by Grouping Numbers (the ac-Method)
Mini-Mod 25 More Factoring and Quadratic Equations
25.1 Special Cases of Factoring
25.2 Factoring Polynomials
25.3 Factor the Sum and Difference of Cubes
25.4 Solving Quadratic Equations by Factoring
25.5 Applications of Quadratic Equations
Mini-Mod 26 Introduction to Rational Expressions
26.1 Undefined Rational Expressions
26.2 Simplifying Rational Expressions
26.3 Multiplying Rational Expressions
26.4 Dividing Rational Expressions
Mini-Mod 27 Adding and Subtracting Rational Expressions
27.1 Adding Like Rational Expressions
27.2 Subtracting Like Rational Expressions
27.3 Finding the Least Common Denominator for Rational Expressions
27.4 Adding and Subtracting Unlike Rational Expressions
Mini-Mod 28 Complex Rational Expressions and Rational Equations
28.1 Simplifying Complex Rational Expressions by Adding and Subtracting
28.2 Simplifying Complex Rational Expressions by Multiplying by the LCD
28.3 Solving Rational Equations
28.4 Applications of Rational Equations: Solving Formulas for a Variable
28.5 Applications of Rational Equations: Work Problems
28.6 Applications of Rational Equations: D = RT
Mini-Mod 29 Variation
29.1 Direct Variation
29.2 Inverse Variation
29.3 Joint and Combined Variation
29.4 Applications of Variation
Mini-Mod 30 Roots and Radicals
30.1 Square Roots
30.2 Higher-Order Roots
30.3 Simplifying Radical Expressions
30.4 Rational Exponents
30.5 More on The Pythagorean Theorem
30.6 The Distance Formula
Mini-Mod 31 Operations of Radical Expressions
31.1 Introduction to Radical Functions
31.2 Adding and Subtracting Radical Expressions
31.3 Multiplying Radical Expressions
31.4 Dividing Radical Expressions
31.5 Rationalizing the Denominator
31.6 Solving Radical Equations
Mini-Mod 32 Solving Quadratic Equations
32.1 Introduction to Solving Quadratic Equations
32.2 Solving Quadratic Equations by Factoring
32.3 Solving Quadratic Equations using the Square Root Property
32.4 Solving Quadratic Equations by Completing the Square
32.5 Solving Quadratic Equations using the Quadratic Formula
32.6 Applications with Quadratic Equations
Mini-Mod 33 Complex Numbers and More Quadratic Equations
33.1 Complex Numbers
33.2 The Discriminant in the Quadratic Formula
33.3 Solving Quadratic Equations with Real or Complex Number Solutions
33.4 Solving Equations Quadratic in Form
33.5 Complex and Quadratic Applications
Mini-Mod 34 Graphing Quadratic Functions
34.1 Introduction to Graphing Quadratic Functions
34.2 Finding the Vertex of a Quadratic Function
34.3 Finding the Intercepts of a Quadratic Function
34.4 Graphing Quadratic Functions Summary
34.5 Applications with Quadratic Functions
Mini-Mod 35 Compound and Non-Linear Inequalities
35.1 Interval Notation
35.2 Graphing Compound Inequalities
35.3 Solving Compound Inequalities
35.4 Solving Quadratic Inequalities
35.5 Solving Rational Inequalities
Mini-Mod 36 Absolute Value Equations and Inequalities
36.1 Introduction to Absolute Value Equations
36.2 Solving Basic Absolute Value Equations
36.3 Solving Multiple Absolute Value Equations
36.4 Solving Absolute Value Inequalities
Mini-Mod 37 Conic Sections
37.1 Introduction to Conic Sections
37.2 The Circle
37.3 The Parabola
37.4 The Ellipse
37.5 The Hyperbola
Mini-Mod 38 Logarithmic and Exponential Functions
38.1 Composite Functions
38.2 Inverse Functions
38.3 Evaluating Exponential and Logarithmic Expressions
38.4 Graphing Exponential Functions
38.5 Converting Between Exponential and Logarithmic Forms
38.6 Graphing Logarithmic Functions
Mini-Mod 39 Solving Logarithmic and Exponential Equations
39.1 Properties of Logarithms
39.2 Common and Natural Logarithms
39.3 Change of Base of Logarithms
39.4 Solving Simple Exponential Equations and Applications
39.5 Solving Exponential Equations and Applications
39.6 Solving Simple Logarithmic Equations
39.7 Solving Logarithmic Equations and Applications
Appendix A: More on Functions
A.1 Using a Graphing Calculator
A.2 Algebra of Functions
A.3 Transformations of Functions
A.4 Piecewise Functions
A.5 Graphing Piecewise Functions
Appendix B: More on Systems
B.1 Systems of Linear Inequalities
B.2 Systems of Non-Linear Equations
B.3 Matrices and Determinants
B.4 Solving Systems of Linear Equations Using Matrices
B.5 Cramer’s Rule
Appendix C: Additional Topics
C.1 Sets
C.2 The Midpoint Formula
C.3 Surface Area
C.4 Synthetic Division
C.5 Balancing a Checking Account C.6 Determining the Best Deal when Purchasing a Vehicle