Inspirational Mathematics 1

Course Curriculum

Pre-Algebra Resources

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Syllabus
Textbooks
Tools for Mastering Mathematics Book
Euler - Elements of Algebra

1. The Whole Numbers

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1.1. An Introduction to the Whole Numbers (22:30)
1.2. Adding and Subtracting Whole Numbers (29:47)
1.3. Multiplication and Division of Whole Numbers (21:49)
1.4. Prime Factorization (10:57)
1.5. Order of Operations (19:16)
1.6. Solving Equations by Addition and Subtraction (11:20)
1.7. Solving Equations by Multiplication and Division (11:19)
Review
Test

2. The Integers

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2.1. An Introduction to the Integers
2.2. Adding Integers
2.3. Subtracting Integers
2.4. Multiplication and Division of Integers
2.5. Order of Operations with Integers
2.6. Solving Equations Involving Integers
Review (20:32)
Test

3. The Fundamentals of Algebra

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3.1. Mathematical Expressions
3.2. Evaluating Algebraic Expressions
3.3. Simplifying Algebraic Expressions
3.4. Combining Like Terms
3.5. Solving Equations Involving Integers II
3.6. Applications
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Test

4. Fractions

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4.1. Equivalent Fractions
4.2. Multiplying Fractions
4.3. Dividing Fractions
4.4. Adding and Subtracting Fractions
4.5. Multiplying and Dividing Mixed Fractions
4.6. Adding and Subtracting Mixed Fractions
4.7. Order of Operations with Fractions
4.8. Solving Equations with Fractions
Review
Test

5. Decimals

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5.1. Introduction to Decimals
5.2. Adding and Subtracting Decimals
5.3. Multiplying Decimals
5.4. Dividing Decimals
5.5. Fractions and Decimals
5.6. Equations with Decimals
5.7. Introduction to Square Roots
5.8. The Pythagorean Theorem
Review
Test

6. Ratio and Proportion

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6.1. Introduction to Ratios and Rates (18:01)
6.2. Introduction to Proportion (14:04)
6.3. Unit Conversion: American System (10:45)
6.4. Unit Conversion: Metric System
6.5. American Unit to Metric Unit and Vice-Versa
Review
Test

7. Percents

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7.1. Percent, Decimals, Fractions
7.2. Solving Basic Percent Problems
7.3. General Applications of Percent
7.4. Percent Increase or Decrease
7.5. Interest
7.6. Pie Charts
Review
Test

8. Graphing

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8.1. The Cartesian Coordinate System
8.2. Graphing Linear Equations
Review
Test

8. Solving Linear Equations

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8.1. One-Step Equations
8.2. Two-Step Equations
8.3. General Linear Equations
8.4. Solving with Fractions
8.5. Formulas
8.6. Absolute Value Equations
8.7. Variation
8.8. Application: Number/Geometry
8.9. Application: Age
8.10. Application: Distance
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Test

9. Graphing

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9.1. The Cartesian Coordinate System
9.2. Graphing Linear Equations
9.3. Points and Lines
9.4. Slope
9.5. Slope-Intercept Form
9.6. Point-Slope Form
9.7. Parallel and Perpendicular Lines

10. Inequalities

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10.1. Solve and Graph Inequalities
10.2. Compound Inequalities
10.3. Absolute Value Inequalities

11. Polynomials

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11.1. Exponent Properties
11.2. Negative Exponents
11.3. Scientific Notation
11.4. Introduction to Polynomials
11.5. Multiply Polynomials
11.6. Multiply Special Products
11.7. Divide Polynomials

Inspirational Mathematics 1 (Pre-Algebra)

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PreAlgebra (Inspirational Mathematics 1) - Regular

PreAlgebra

PreAlgebra (Arithmetic, Fractions, Decimals and Percents) - Summer Special

Course Curriculum