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# Grade 8 Mathematics Course Outline

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

- Pre-Algebra Links
- Glossary
- Pretest
- Assignment: Pretest
- MLA Formatting Word 2007
- MLA Documentation Updates
- MLA Citation
- MLA Incorporating Sources
- Completing Math Assessments

2- Language of Math

- Historical Beginnings
- Place Value System
- Quiz: Place Value
- Numerical and Literal Numbers
- Quiz: Numerical and Literal Numbers
- Expressing Relationships
- Quiz: Expressing Relationships
- Quiz: Language of Math
- Worksheet: Language of Math

3- Basic Operations

- Multiplication
- Quiz: Multiplication
- Division
- Handout: Division Worksheet
- Assignment: Division
- Addition
- Handout: Adding Negative Numbers
- Assignment: Adding Negative Numbers
- Subtraction
- Quiz: Subtraction
- Positive/Negative
- Handout: Multiplying Integers
- Assignment: Multiplying Integers
- Summary
- Quiz: Basic Operations

4- Order of Operations

- Combining Terms
- Quiz: Combining Terms
- Terms
- Handout: Multiplying and Dividing with Negative Numbers
- Expressions
- Handout: Order of Operations
- Assignment: Order of Operations
- Definitions
- Worksheet: Defintions
- Exponents
- Handout: Exponents
- Assignment: Exponents
- Summary
- Handout: Order of Operations Review
- Assignment: Order of Operations Review
- Quiz: Order of Operations

5- Fractions

- Definitions
- Worksheet: Fraction Definitions
- Procedures
- Fractions
- Handout: Fractions
- Handout: Fractions Assignment
- Assignment: Fractions
- Equivalent Fractions
- Handout: Equivalent Fractions
- Assignment: Equivalent Fractions
- Additions of Fractions
- Quiz: Adding Fractions
- Common Denominators
- Handout: Solving for the Common Denominator
- Assignment: Solving for the Common Denominator
- Practice
- Subtraction of Fractions
- Handout: Subtracting Common Denominators
- Assignment: Subtracting with Common Denominators

6- Multiplying Fractions

- Expanding and Reducing Fractions
- Handout: Reducing Fractions
- Assignment: Reducing Fractions
- Multiplication
- Handout: Multiplying Fractions
- Assignment: Multiplying Fractions
- Multiply by Whole Number
- Quiz: Multiplying Whole Numbers by Fractions
- Reciprocals
- Worksheet: Reciprocals
- Division of Fractions
- Handout: Dividing Fractions
- Assignment: Dividing Fractions
- Smaller and Larger Results
- Summary
- Handout: Multiplying and Dividing Fractions
- Assignment: Multiplying and Dividing Fractions
- Worksheet: Multiplying Fractions

7- Decimals

- Operations
- Addition and Subtraction of Decimals
- Handout: Adding and Subtracting Decimals
- Assignment: Adding and Subtracting Decimals
- Division with Decimals
- Handout: Decimal Division
- Assignment: Decimal Division
- Percents
- Handout: Percents
- Convert Decimals to Fractions
- Handout: Decimals to Fractions
- Assignment: Decimals to Fractions
- Exponent Behavior
- Handout: Exponent Behavior
- Exponents in Division
- Quiz: Dividing Exponents
- Summary
- Midtest
- Assignment: Midtest
- Quiz: Decimals

8- Geometric Lines

- Expressing Relationships
- Handout: Similar Figures
- Assignment: Similar Figures
- Congruent Figures
- Handout: Congruent Shapes
- Assignment: Congruent Shapes
- Lines and Angles
- Handout: Lines and Angles
- Assignment: Lines
- Parallel Lines
- Handout: REPLACE Transversal Angles
- Applications
- Recognizing Figures
- Worksheet: Triangles
- Quadrilaterals
- Handout: Quadrilaterals
- Assignment: Quadrilaterals
- Other Sided Figures
- Quiz: Other Sided Figures
- Curved Figures
- Quiz: Curved FiguresSummary
- Summary
- Handout: Geometric Lines
- Assignment: Geometric Lines
- Worksheet: Geometric Lines

9- Power and Roots

- Raising Numbers
- Worksheet: Raising Numbers
- Rules of Exponents
- Quiz: Rules of Exponents
- Rules 2 and 3
- Handout: Exponents
- Assignment: Exponents
- Rules 4 and 5
- Worksheet: Rules 4 and 5
- Rules 6 and 7
- Handout: Negative Exponents
- Assignment: Negative Exponents
- Roots
- Quiz: Roots
- Signed Numbers and Real Numbers
- Quiz: Signed Numbers and Real Numbers
- Rational Numbers
- Worksheet: Square Roots
- Finding Square Roots
- Handout: Finding Square Roots
- Assignment: Finding Square RootsSquares and Square Roots
- Squares and Square Roots
- Handout: Squares and Square Roots
- Assignment: Squares and Square Roots
- Summary
- Quiz: Power and Roots

10- Geometric Formulas

- Perimeter Formulas
- Handout: Perimeters
- Assignment: Perimeters
- Area Formulas
- Handout: Calculate the Area
- Assignment: Calculate the Area
- 3D Shapes
- Handout: Surface Area
- Pyramids
- Handout: Pyramids
- Circular Solids
- Handout: Area of a Circle
- Assignment: Area of a Circle
- Volume Formulas
- Handout: Volume Formulas
- More Volume and Areas
- Handout: Volumes
- Assignment: Volumes
- Complex and Irregular Shapes
- Handout: Area of Complex Shapes
- Formulas Involving Angles
- Handout: Angle Formulas
- Assignment: Angle Formulas
- Pythagorean Theorem
- Worksheet: Pythagorean Theorem
- Worksheet: Geometric Formulas Worksheet
- Quiz: Geometric Formulas Quiz

11- Literal Numbers

- Combining Terms
- Handout: Combining Terms
- Assignment: Combining Terms
- Subtraction with Literal Numbers
- Worksheet: Subtracting with Literal Numbers
- Multiplication of Literal Numbers
- Quiz: Multiplication of Literal Numbers
- Division with Literal Numbers
- Worksheet: Division with Literal Numbers
- Grouping Numbers
- Grouped Terms and Plus Sign
- Worksheet: Grouped Terms with Plus Sign
- Grouped Terms and Minus Sign
- Grouped Terms and Literal or Numerical Number
- Worksheet: Grouped Terms and Literal or Numerical Numbers
- Grouped Terms with No SignUnits as Literals
- Summary
- Quiz: Literal Numbers Quiz

12- Basic Equations

- Basic Operations
- Handout: Basic Operations
- Assignment: Basic Operations
- Adding Same Numbers
- Worksheet: Adding Same Numbers
- Subtracting Same Numbers
- Handout: Multiplying and Dividing for X
- Assignment: Multiplying and Dividing for X
- Squares and Square Roots
- Worksheet: Squares and Square Roots
- When to Do What
- Handout: Solving for X on Both Sides
- Assignment: Solving for X on Both Sides
- Examples
- More Examples
- Ratios
- Quiz: Ratios
- Summary
- Post-test
- Assignment: Post-test
- Assignment: Basic Equations

13- Linear Functions

- Relations and Functions
- Handout: Domain and Range Worksheet
- Quiz: Identifying Functions
- Assignment: Domain and Range
- Evaluating Functions
- Handout: Evaluating Functions Worksheet
- Assignment: Evaluating Functions
- Linear Functions, Part 1
- Handout: Linear Functions Part 1 Worksheet
- Assignment: Linear Functions, Part 1
- Linear Functions, Part 2
- Handout: Linear Functions Part 2 Worksheet
- Assignment: Linear Functions, Part 2
- Graphing Lines
- Handout: Graphing Lines Worksheet
- Assignment: Graphing Lines

14- Course Survey

- Handout: Course Survey
- Assignment: Course Survey

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