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8th Grade Math

Overview

Outcomes

Content

Upon successful completion of this course, students will have mastered the following:
1.
The Number System
45 topics
1.1. Exponents
1.1.1. The Zeroth Power
1.1.2. Powers of Negative One
1.1.3. Negative Exponents
1.1.4. Evaluating Rational Number Expressions With Integer Exponents
1.1.5. The Product Rule for Exponents
1.1.6. The Quotient Rule for Exponents
1.1.7. The Power Rule for Exponents
1.1.8. The Power of Product Rule for Exponents
1.1.9. The Power of Quotient Rule for Exponents
1.1.10. Combining the Rules of Exponents
1.2. Radicals
1.2.1. The Square Root of a Perfect Square
1.2.2. Squaring a Square Root
1.2.3. The Cube Root of a Perfect Cube
1.2.4. Surds
1.2.5. Simplifying Expressions With Surds
1.2.6. Evaluating Numerical Expressions Containing Radicals
1.2.7. Radicals as Fractional Exponents
1.2.8. The Product Rule for Radicals
1.2.9. The Quotient Rule for Radicals
1.2.10. Rationalizing Denominators
1.3. The Number System
1.3.1. The Real Number System
1.3.2. Approximating Irrational Numbers
1.3.3. Writing Repeating Decimals as Fractions
1.4. Working with Units
1.4.1. Units of Length
1.4.2. Units of Mass
1.4.3. Units of Time
1.4.4. Units of Volume
1.4.5. Units of Area and Volume
1.4.6. Unit Conversions Using Base Units of Mass
1.4.7. Two-Step Unit Conversions
1.4.8. Unit Conversions Using Base Units of Length
1.4.9. Unit Conversions Using Units of Time
1.4.10. Converting Units of Area to Smaller Units
1.4.11. Converting Units of Area to Larger Units
1.4.12. Unit Conversions Using Base Units of Volume
1.5. Scientific Notation
1.5.1. Writing Numbers in Scientific Notation
1.5.2. Converting Scientific Notation to Standard Notation
1.5.3. Comparing Numbers Given in Scientific Notation
1.5.4. Addition and Subtraction in Scientific Notation
1.5.5. Addition in Scientific Notation With Different Powers of Ten
1.5.6. Subtraction in Scientific Notation With Different Powers of Ten
1.5.7. Further Addition in Scientific Notation With Different Powers of Ten
1.5.8. Multiplying Numbers in Scientific Notation
1.5.9. Dividing Numbers in Scientific Notation
1.5.10. Applying the Laws of Exponents to Numbers Given in Scientific Notation
2.
Expressions & Equations
31 topics
2.6. Nonlinear Equations
2.6.1. Solving Equations Using Square Roots
2.6.2. Solving Equations Using Cube Roots
2.6.3. Solving Radical Equations With Square Roots
2.6.4. Solving Radical Equations With Cube Roots
2.7. Graphs of Linear Equations
2.7.1. The Cartesian Coordinate System
2.7.2. Two-Variable Linear Equations and Their Solutions
2.7.3. Graphing Linear Equations
2.7.4. Horizontal and Vertical Lines
2.7.5. Calculating Slopes of Straight Lines
2.7.6. Equations of Lines in Slope-Intercept Form
2.7.7. Finding Properties of Lines Given in Slope-Intercept Form
2.7.8. Equations of Lines in Point-Slope Form
2.7.9. Equations of Lines in Standard Form
2.7.10. Determining Properties of Lines Given in Standard Form
2.7.11. Parallel Lines in the Coordinate Plane
2.7.12. Finding the Equation of a Parallel Line
2.7.13. Comparing Linear Equations
2.7.14. Modeling With Linear Equations in Two Variables
2.7.15. Further Modeling With Linear Equations in Two Variables
2.8. Systems of Linear Equations
2.8.1. Introduction to Systems of Linear Equations
2.8.2. Approximating Solutions to Systems of Linear Equations
2.8.3. Solving Systems of Two Linear Equations Using Substitution
2.8.4. Introduction to the Elimination Method
2.8.5. Solving Systems of Linear Equations Using Elimination: One Transformation
2.8.6. Solving Systems of Linear Equations Using Elimination: Two Transformations
2.8.7. Systems of Linear Equations With Fractional Coefficients
2.8.8. Systems of Linear Equations With Decimal Coefficients
2.8.9. Calculating the Intersection of Two Lines
2.8.10. Systems of Equations With No Solutions and Systems With Infinitely Many Solutions
2.9. Modeling with Systems of Linear Equations
2.9.1. Modeling Number Problems Using Systems of Linear Equations
2.9.2. Modeling Coin Problems Using Systems of Linear Equations
3.
Functions
7 topics
3.10. Functions
3.10.1. Relations
3.10.2. Visual Representations of Functions
3.10.3. Graphs of Functions
3.10.4. Modeling With Trigonometric Functions
3.10.5. Trend Lines
3.10.6. Making Predictions Using Trend Lines
3.10.7. Scatter Plots
4.
Geometry
32 topics
4.11. Congruence and Similarity
4.11.1. Congruence of Geometric Figures
4.11.2. Similarity of Geometric Figures
4.11.3. Slopes of Straight Lines in Terms of Similar Triangles
4.11.4. The Angle-Angle Criterion for Similar Triangles
4.11.5. Parallel Lines and Transversals: Identifying Angles
4.11.6. Parallel Lines and Transversals: Finding Angles
4.11.7. Areas of Similar Shapes
4.11.8. Volumes of Similar Solids
4.12. Geometric Transformations
4.12.1. Translations of Geometric Figures
4.12.2. Rotations of Geometric Figures
4.12.3. Reflections of Geometric Figures
4.12.4. Dilations of Geometric Figures
4.12.5. Combining Transformations of Geometric Figures
4.13. Polygons
4.13.1. Interior Angles of Triangles
4.13.2. Exterior Angles of Triangles
4.13.3. Classifying Triangles Based on Sides
4.13.4. Classifying Triangles Based on Angles
4.13.5. Interior Angles of Polygons
4.13.6. Exterior Angles of Polygons
4.14. The Pythagorean Theorem
4.14.1. The Pythagorean Theorem
4.14.2. Proving the Pythagorean Theorem
4.14.3. The Pythagorean Theorem: Word Problems
4.14.4. The Converse Pythagorean Theorem
4.14.5. The Pythagorean Theorem in Three-Dimensions
4.14.6. The Distance Formula
4.14.7. The Distance Formula in Three-Dimensions
4.15. Solid Geometry
4.15.1. Volumes of Cones
4.15.2. Volumes of Cylinders
4.15.3. Volumes of Spheres
4.15.4. Surface Areas of Cylinders
4.15.5. Surface Areas of Spheres
4.15.6. Volumes and Surface Areas of Composite Shapes
5.
Statistics & Probability
6 topics
5.16. Statistics
5.16.1. Circle Diagrams
5.16.2. Stem and Leaf Diagrams
5.16.3. Scatter Plots
5.16.4. Fitting Straight Lines to Scatter Plots
5.16.5. Two-Way Frequency Tables
5.16.6. Two-Way Relative Frequency Tables