| Part 1 - Basic Operations and Solving Equations | |
| Introduction to Integers and the Number Line |
1 |
| Addition of Integers |
2 |
| Subtraction of Integers |
2 |
| QUIZ: (Adding and Subtracting Integers) |
4 |
| Packages - "Do Me First" |
5 |
| Multiplication of Integers |
6 |
| Division of Integers |
6 |
| Operations with Integers Using Packages |
7 |
| QUIZ: (Operations with Integers Using Packages) |
8 |
| TEST- Operations with Integers |
9 |
| Exponents and Raising a Number to a Power |
10 |
| Order of Operations |
10 |
| QUIZ: (Exponents and Powers) |
13 |
| Evaluating Variable Expressions |
14 |
| Evaluating Variable Expressions with Exponents |
16 |
| More Evaluating Expressions |
18 |
| TEST- Evaluating Variable Expressions |
20 |
| Solving Equations |
21 |
| Order of Operations When Solving Equations |
25 |
| Combining Like Terms |
26 |
| Combining Terms: First Step in Solving Equations |
26 |
| Transposing: Are You Ready to Skip a Step? |
27 |
| QUIZ: (Solving Equations) |
27 |
| TEST- Solving Equations |
28 |
| The Distributive Law |
30 |
| More Solving Equations |
32 |
| TEST- More Solving Equations |
33 |
 |
| Part 2 - Solving Word Problems with Algebra | |
| Writing Variable Expressions |
34 |
| Number Problems |
36 |
| Consecutive-Integer Problems |
39 |
| Age Problems |
41 |
| Geometry Problems: Angles and Degree Measure |
43 |
| Coin Problems: Penny, Nickel, Dime, Quarter |
44 |
| Uniform Motion Problems: Rate x Time = Distance |
46 |
| TEST- Solving Word Problems with Algebra |
49 |
|
| Part 3 - Coordinate Geometry and Systems of Equations | |
| Graphing Linear Equations on a Coordinate Plane |
51 |
| Using the Slope-Intercept Form: y = mx + b |
56 |
| More on Slopes |
58 |
| Solving a System of Equations Graphically |
62 |
| TEST- Coordinate Geometry |
65 |
| Solving Systems of Equations in Two Variable |
68 |
| Problems Using Two Variables - Digit Problems |
72 |
| TEST- Systems of Equations |
74 |
|
| Part 4 - Polynomials | |
| Introduction to Polynomials |
75 |
| Adding Polynomials |
75 |
| Subtracting Polynomials |
75 |
| Multiplying and Powers: the Laws of Exponents for Multiplication |
76 |
| QUIZ: (Multiplying and Powers) |
77 |
| More Complicated Expressions Involving Multiplying and Powers |
77 |
| Multiplying a Monomial by a Polynomial |
78 |
| Multiplying a Polynomial by a Polynomial |
79 |
| Are You Ready to Skip a Step- The "FOIL" Method |
80 |
| The Laws of Exponents for Division |
81 |
| QUIZ: (The Laws of Exponents for Division) |
84 |
| Division of a Polynomial by a Monomial |
85 |
| Division of a Polynomial by a Polynomial |
85 |
| TEST- Basic Operations with Polynomials |
87 |
| Special Products |
88 |
| Factoring Out a Common Monomial Factor |
89 |
| Factoring Special-Product Polynomials |
89 |
| Factoring Quadratic Trinomials |
90 |
| Factoring Completely |
91 |
| TEST- Factoring |
92 |
|
| Part 5 - Fractions | |
| Equivalent Fractions |
93 |
| Multiplying Fractions |
96 |
| Dividing Fractions |
97 |
| Adding and Subtraction Like Fractions |
98 |
| Adding and Subtracting Unlike Fractions |
99 |
| Simplifying Complex Fractions |
103 |
| Solving Equations Containing Fractions |
106 |
| Solving Quadratic Equations by Factoring |
112 |
| Fractional Equations that Transform into Quadratic Equations |
113 |
| TEST - Operations and Equations with Fractions |
115 |
| Solving Word Problems Involving Quadratic Terms, Factoring, Etc. |
118 |
| Solving Word Problems Involving Equations with Fractions |
121 |
| TEST - Equations involving Quadratic Equations and Fractions |
124 |
|
| Part 6 - Radicals and Roots | |
| Introduction to Rational and Irrational Numbers |
125 |
| Square Roots |
125 |
| The Laws of Square Roots |
126 |
| Adding and Subtracting Like Radicals |
132 |
| Mutliplying Radicals |
134 |
| Dividing Radicals |
136 |
| Solving Radical Equations |
139 |
| TEST- Radicals and Roots |
142 |
|
| Part 7 - More on Quadratic Equations | |
| Solving Quadratic Equations by Completing the Square |
144 |
| The Derivation of the Quadratic Formula |
147 |
| Using the Quadratic Formula |
147 |
| The Discriminant and the Nature of the Roots |
148 |
| TEST - Completing the Square and The Quadratic Formula |
150 |
|
| Part 8 - Inequalities | |
| Introduction to Inequalities |
151 |
| Solving Inequalities |
154 |
| Combining Inequalities |
156 |
| Absolute Values in Open sentences |
161 |
| TEST - Inequalities |
164 |
| Graphing Linear Inequalities in Two Variables |
166 |
| Solving a System of Inequalities Graphically |
168 |
| TEST - Graphing Linear Inequalities in Two Variables |
169 |
|
| Part 9 - Supplementary Topics | |
| Calculating Square Roots |
170 |
| TEST - Calculating Square Roots |
173 |
| Changing Repeating Decimals to Fractions |
174 |
| TEST - Changing Repeating Decimals to Fractions |
175 |
| Scientific Notation |
176 |
| TEST - Scientific Notation |
177 |
| The Distance Formula |
178 |
| TEST - The Distance Formula |
179 |
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