This course is aligned with the Common Core Standards for 8th grade mathematics and focuses on three critical areas.

First, the students will learn to formulate expressions and equations, show the association of data with a linear equation, and to solve linear equations. The students will become comfortable using the linear equation, y = mx + b. They will understand that m represents the rate of change of the two variables. In addition they will understand the graphs are lines through the origin. The students will become comfortable using a linear equation to describe the relationship between two values in bivariate data. They will also be able to solve problems with one linear equation and systems with two linear equations.

Second, the students will learn to understand functions and to use a function to describe quantitative relationships. They will understand that functions help to describe situations where one quantity is dependent on another. Third, the students will learn to assess two- and three-dimensional shapes using distance, angle, and similarity using ideas about distance and angles and how they behave. The students will understand the Pythagorean Theorem and be able to explain why it is true. They will learn to use the theorem to find distances between points on the coordinate plane, to find lengths, and to analyze triangles. The students will complete their study of volume by learning to solve for the volume of cones, cylinders, and spheres.

**1- Introduction**

1- Pre-Algebra Links

2- Glossary

3- Pretest

Assignment: Pretest

4- MLA Formatting Word 2007

5- MLA Documentation Updates

6- MLA Citation

7- MLA Incorporating Sources

8- Completing Math Assessments

**2- Language of Math**

1- Historical Beginnings

2- Place Value System

Quiz: Place Value

3- Numerical and Literal Numbers

Quiz: Numerical and Literal Numbers

4- Expressing Relationships

Quiz: Expressing Relationships

Quiz: Language of Math

Worksheet: Language of Math

**3- Basic Operations**

1- Multiplication

Quiz: Multiplication

2- Division

Handout: Division Worksheet

Assignment: Division

3- Addition

Handout: Adding Negative Numbers

Assignment: Adding Negative Numbers

4- Subtraction

Quiz: Subtraction

5- Positive/Negative

Handout: Multiplying Integers

Assignment: Multiplying Integers

6- Summary

Quiz: Basic Operations

**4- Order of Operations**

1- Combining Terms

Quiz: Combining Terms

2- Terms

Handout: Multiplying and Dividing with Negative Numbers

3- Expressions

Handout: Order of Operations

Assignment: Order of Operations

4- Definitions

Worksheet: Defintions

5- Exponents

Handout: Exponents

Assignment: Exponents

6- Summary

Handout: Order of Operations Review

Assignment: Order of Operations Review

Quiz: Order of Operations

**5- Fractions**

1- Definitions

Worksheet: Fraction Definitions

2- Procedures

3- Fractions

Handout: Fractions

Handout: Fractions Assignment

Assignment: Fractions

4- Equivalent Fractions

Handout: Equivalent Fractions

Assignment: Equivalent Fractions

5- Additions of Fractions

Quiz: Adding Fractions

6- Common Denominators

Handout: Solving for the Common Denominator

Assignment: Solving for the Common Denominator

7- Practice

8- Subtraction of Fractions

Handout: Subtracting Common Denominators

Assignment: Subtracting with Common Denominators

**6- Multiplying Fractions**

1- Expanding and Reducing Fractions

Handout: Reducing Fractions

Assignment: Reducing Fractions

2- Multiplication

Handout: Multiplying Fractions

Assignment: Multiplying Fractions

3- Multiply by Whole Number

Quiz: Multiplying Whole Numbers by Fractions

4- Reciprocals

Worksheet: Reciprocals

5- Division of Fractions

Handout: Dividing Fractions

Assignment: Dividing Fractions

6- Smaller and Larger Results

7- Summary

Handout: Multiplying and Dividing Fractions

Assignment: Multiplying and Dividing Fractions

Worksheet: Multiplying Fractions

**7- Decimals**

1- Operations

2- Addition and Subtraction of Decimals

Handout: Adding and Subtracting Decimals

Assignment: Adding and Subtracting Decimals

3- Division with Decimals

Handout: Decimal Division

Assignment: Decimal Division

4- Percents

Handout: Percents

5- Convert Decimals to Fractions

Handout: Decimals to Fractions

Assignment: Decimals to Fractions

6- Exponent Behavior

Handout: Exponent Behavior

7- Exponents in Division

Quiz: Dividing Exponents

8- Summary

9- Midtest

Assignment: Midtest

Quiz: Decimals

**8- Geometric Lines**

1- Expressing Relationships

Handout: Similar Figures

Assignment: Similar Figures

2- Congruent Figures

Handout: Congruent Shapes

Assignment: Congruent Shapes

3- Lines and Angles

Handout: Lines and Angles

Assignment: Lines

4- Parallel Lines

Handout: REPLACE Transversal Angles

5- Applications

6- Recognizing Figures

Worksheet: Triangles

7- Quadrilaterals

Handout: Quadrilaterals

Assignment: Quadrilaterals

8- Other Sided Figures

Quiz: Other Sided Figures

9- Curved Figures

Quiz: Curved Figures

10- Summary

Handout: Geometric Lines

Assignment: Geometric Lines

Worksheet: Geometric Lines

**9- Power and Roots**

1- Raising Numbers

Worksheet: Raising Numbers

2- Rules of Exponents

Quiz: Rules of Exponents

3- Rules 2 and 3

Handout: Exponents

Assignment: Exponents

4- Rules 4 and 5

Worksheet: Rules 4 and 5

5- Rules 6 and 7

Handout: Negative Exponents

Assignment: Negative Exponents

6- Roots

Quiz: Roots

7- Signed Numbers and Real Numbers

Quiz: Signed Numbers and Real Numbers

8- Rational Numbers

Worksheet: Square Roots

9- Finding Square Roots

Handout: Finding Square Roots

Assignment: Finding Square Roots

10- Squares and Square Roots

Handout: Squares and Square Roots

Assignment: Squares and Square Roots

11- Summary

Quiz: Power and Roots

**10- Geometric Formulas**

1- Perimeter Formulas

Handout: Perimeters

Assignment: Perimeters

2- Area Formulas

Handout: Calculate the Area

Assignment: Calculate the Area

3- 3D Shapes

Handout: Surface Area

4- Pyramids

Handout: Pyramids

5- Circular Solids

Handout: Area of a Circle

Assignment: Area of a Circle

6- Volume Formulas

Handout: Volume Formulas

7- More Volume and Areas

Handout: Volumes

Assignment: Volumes

8- Complex and Irregular Shapes

Handout: Area of Complex Shapes

9- Formulas Involving Angles

Handout: Angle Formulas

Assignment: Angle Formulas

10- Pythagorean Theorem

Worksheet: Pythagorean Theorem

Worksheet: Geometric Formulas Worksheet

Quiz: Geometric Formulas Quiz

**11- Literal Numbers**

1- Combining Terms

Handout: Combining Terms

Assignment: Combining Terms

2- Subtraction with Literal Numbers

Worksheet: Subtracting with Literal Numbers

3- Multiplication of Literal Numbers

Quiz: Multiplication of Literal Numbers

4- Division with Literal Numbers

Worksheet: Division with Literal Numbers

5- Grouping Numbers

6- Grouped Terms and Plus Sign

Worksheet: Grouped Terms with Plus Sign

7- Grouped Terms and Minus Sign

8- Grouped Terms and Literal or Numerical Number

Worksheet: Grouped Terms and Literal or Numerical Numbers

9- Grouped Terms with No Sign

10- Units as Literals

11- Summary

Quiz: Literal Numbers Quiz

**12- Basic Equations**

1- Basic Operations

Handout: Basic Operations

Assignment: Basic Operations

2- Adding Same Numbers

Worksheet: Adding Same Numbers

3- Subtracting Same Numbers

Handout: Multiplying and Dividing for X

Assignment: Multiplying and Dividing for X

4- Squares and Square Roots

Worksheet: Squares and Square Roots

5- When to Do What

Handout: Solving for X on Both Sides

Assignment: Solving for X on Both Sides

6- Examples

7- More Examples

8- Ratios

Quiz: Ratios

9- Summary

10- Post-test

Assignment: Post-test

Assignment: Basic Equations

**13- Linear Functions**

1- Relations and Functions

Handout: Domain and Range Worksheet

Quiz: Identifying Functions

Assignment: Domain and Range

2- Evaluating Functions

Handout: Evaluating Functions Worksheet

Assignment: Evaluating Functions

3- Linear Functions, Part 1

Handout: Linear Functions Part 1 Worksheet

Assignment: Linear Functions, Part 1

4- Linear Functions, Part 2

Handout: Linear Functions Part 2 Worksheet

Assignment: Linear Functions, Part 2

5- Graphing Lines

Handout: Graphing Lines Worksheet

Assignment: Graphing Lines

**14- Course Survey**

Handout: Course Survey

Assignment: Course Survey

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