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# Grade 7 Mathematics Course Outline

This course follows the Common Core Standards for 7th grade mathematics and focuses on four critical areas.

First, the students will develop and understanding of proportional relationships. They will use their understanding of ratios to develop an understanding of proportionality and solve single- and multi-step problems. The students will learn to use their understanding to solve a wide variety of percent problems. Students will learn how to graph proportional relationships and calculate and describe the slope of the line as a property used to describe a relationship.

Second, the students will learn to understand operations with rational numbers and begin to work with expressions and linear equations. They will solidify their understanding of fractions, decimals, and percents as different ways to represent rational numbers. The students will become proficient in the addition, subtraction, multiplication, and division of negative numbers.

Third, the students will learn to use two- and three-dimensional shapes to solve problems regarding area, surface area, and volume. They will continue to develop their understanding of area and circumference of a circle and surface area of three-dimensional objects. The students will use cross-sections of three-dimensional figured to relate the figures to two-dimensional shapes.

Fourth, the students will learn to draw conclusions about populations based on samples. They will be able to compare data distributions to answer questions about different populations.

1- Introduction

- Introduction
- Course Description
- Pretest
- Assignment: Pretest
- MLA Formatting Word 2007
- MLA Documentation Updates
- MLA Citation
- MLA Incorporating Sources

2- Integers

- Absolute Value
- Worksheet: Absolute Value
- Adding and Subtracting Integers
- Handout: Adding Integers Worksheet
- Assignment: Adding Integers
- Quiz: Subtracting Integers
- Multiplying and Dividing Integers
- Handout: Multiplying and Dividing Integers Worksheet
- Assignment: Multiplying and Dividing Integers

3- Rational Numbers

- Terminating and Repeating Decimals
- Quiz: Terminating and Repeating Decimals
- Compare and Order Rational Numbers
- Handout: Compare and Order Rational Numbers Worksheet
- Assignment: Compare and Order Rational Numbers
- Add and Subtract Like/Unlike Fractions
- Handout: Add Fractions with Like & Unlike Denominators Worksheet
- Handout: Subtract Fractions with Like & Unlike Denominators Worksheet
- Assignment: Add Fractions with Like and Unlike Denominators
- Assignment: Subtract Fractions with Like and Unlike Denominators
- Add and Subtract Mixed Numbers
- Handout: Add and Subtract Mixed Numbers Worksheet
- Assignment: Add and Subtract Mixed Numbers
- Multiply Fractions
- Worksheet: Multiply Fractions
- Divide Fractions
- Handout: Dividing Fractions Worksheet
- Assignment: Dividing Fractions
- Powers and Exponents
- Handout: Powers and Exponents Worksheet
- Assignment: Powers and Exponents

4- Linear Equations 4- Linear Equations

- Problem Solving Investigation & Introductions to Equations
- Handout: Problem Solving Worksheet
- Assignment: Problem Solving
- Solve Addition and Subtraction Equations
- Handout: Solve Addition Equations Worksheet
- Handout: Solve Subtraction Equations Worksheet
- Assignment: Solve Addition Equations
- Assignment: Solve Subtraction Equations
- Solve Equations using Multiplication
- Solve Equations using Division
- Handout: Equations Using Multiplication or Division Worksheet
- Assignment: Equations Using Multiplication or Division
- Solve Equations with Rational Coefficients
- Handout: Solve Equations With Rational Coefficients Worksheet
- Assignment: Solve Equations With Rational Coefficients
- Solve Two-Step Equations
- Handout: Solve Two-Step Equations Worksheet
- Assignment: Solve Two-Step Equations
- Solve Equations with Variables on Each Side
- Handout: Solve Equations With Variables on Each Side Worksheet
- Assignment: Solve Equations With Variables on Each Side

5- Proportions and Similarity

- Unit Rates and Rates
- Handout: Unit Rates Worksheet
- Assignment: Unit Rates
- Proportional and Non-proportional Relationships
- Handout: Proportional & Non-Proportional Worksheet
- Assignment: Proportional & Non-Proportional
- Solve Proportions
- Handout: Solving Proportions Worksheet
- Assignment: Solving Proportions
- Scale Drawing
- Handout: Scale Factor Worksheet
- Assignment: Scale Factor
- Similar Figures
- Handout: Similar Figures Worksheet
- Assignment: Similar Figures

6- Linear Functions

- Input and Output of Functions
- Handout: Input & Output Worksheet
- Assignment: Input & Output
- Functions and Graphs
- Handout: Functions & Graphs Worksheet
- Assignment: Functions & Graphs
- Constant Rate of Change
- Handout: Constant Rate of Change Worksheet
- Assignment: Constant Rate of Change
- Slope
- Handout: Slope Worksheet
- Assignment: Slope
- Direct Variation
- Handout: Direct Variation Worksheet
- Assignment: Direct Variation
- Inverse Variation
- Handout: Inverse Variation Worksheet
- Assignment: Inverse Variation

7- Percents

- Percent of a Number
- Handout: Percent of a Number Worksheet
- Assignment: Percent of a Number
- Percent and Estimation
- Handout: Percent & Estimation Worksheet
- Assignment: Percent & Estimation
- The Percent Proportion
- Handout: The Percent Proportion Worksheet
- Assignment: The Percent Proportion
- The Percent Equation
- Handout: The Percent Equation Worksheet
- Assignment: The Percent Equation
- Percent of Change
- Handout: Percent of Change Worksheet
- Assignment: Percent of Change
- Sales, Taxes, and Tips
- Discount 7- Discount
- Handout: Sales Tax & Discounts Worksheet
- Assignment: Sales Tax & Discounts
- Simple Interest
- Handout: Simple Interest Worksheet
- Assignment: Simple Interest
- Midtest
- Assignment: Midtest

8- Data Analysis and Probability

- Circle Graphs
- Handout: Circle Graphs Worksheet
- Assignment: Circle Graphs
- Histograms
- Handout: Histograms Worksheet
- Assignment: Histograms
- Stem-and-Leaf Plots
- Handout: Stem & Leaf Plots Worksheet
- Assignment: Stem & Leaf Plots
- Probability
- Handout: Probability Worksheet
- Assignment: Probability
- Sample Spaces
- Handout: Sample Spaces Worksheet
- Assignment: Sample Spaces
- Counting Outcomes
- Handout: Counting Outcomes Worksheet
- Assignment: Counting Outcomes
- Independent and Dependent Events
- Handout: Independent & Dependent Events Worksheet
- Assignment: Independent & Dependent Events
- Probability Experiments
- Handout: Probability Experiments Worksheet
- Assignment: Probability Experiments
- Use Data to Predict
- Handout: Use Data to Predict Worksheet
- Assignment: Use Data to Predict
- Unbiased and Biased Samples
- Handout: Unbiased & Biased Samples Worksheet
- Assignment: Unbiased & Biased Samples

9- Volume and Surface Area

- Volume of Prisms
- Volume of Cylinders
- Handout: Volume of Prisms & Cylinders Worksheet
- Assignment: Volume of Prisms & Cylinders
- Volume of Pyramids
- Volume of Cones
- Handout: Volume of Pyramids & Cones Worksheet
- Assignment: Volume of Pyramids & Cones
- Surface Area of Prisms
- Surface Area of Cylinders
- Handout: Surface Area of Prisms & Cylinders Worksheet
- Assignment: Surface Area of Prisms & Cylinders
- Surface Area of Pyramids
- Handout: Surface Area of Pyramids Worksheet
- Assignment: Surface Area of Pyramids
- Volume and Surface Area of Composite Figures
- Handout: Volume & Surface Area of Composite Figures Worksheet
- Assignment: Volume & Surface Area of Composite Figures

10- Measurement and Proportional Reasoning

- Convert Customary Units
- Handout: Convert Customary Units Worksheet
- Assignment: Convert Customary Units
- Convert Metric Units
- Handout: Convert Metric Units Worksheet
- Assignment: Convert Metric Units
- Convert Between Systems
- Handout: Convert Between Systems Worksheet
- Assignment: Convert Between Systems
- Convert Rates
- Handout: Convert Rates Worksheet
- Assignment: Convert Rates
- Convert Units of Area and Volume
- Handout: Convert Area & Volume Worksheet
- Assignment: Convert Area & Volume
- Changes in Dimensions
- Handout: Changes in Dimension Worksheet
- Assignment: Changes in Dimensions

11- Transformations

- Translations in the Coordinate Plane
- Assignment: Translations in the Coordinate Plane
- Reflections in the Coordinate Plane
- Assignment: Reflections in the Coordinate Plane
- Rotations in the Coordinate Plane
- Assignment: Rotations in the Coordinate Plane
- Dilations
- Assignment: Dilations

12- Geometry and Spatial Reasoning

- Angle Relationships
- Handout: Classify Angles Worksheet
- Handout: Angle Relationships Worksheet
- Assignment: Classify Angles
- Assignment: Angle Relationships
- Parallel Lines
- Handout: Parallel Lines Worksheet
- Assignment: Parallel Lines
- Triangles
- Handout: Classify Triangles Worksheet
- Handout: Triangles Worksheet
- Assignment: Classify Triangles
- Assignment: Triangles
- Quadrilaterals
- Handout: Quadrilaterals Worksheet
- Assignment: Quadrilaterals
- Polygons and Angles
- Handout: Classify Polygons Worksheet
- Handout: Polygons & Angles Worksheet
- Assignment: Classify Polygons
- Assignment: Polygons & Angles
- Square Roots
- Handout: Square Roots Worksheet
- Assignment: Square Roots
- Estimate Square Roots
- Handout: Estimate Square Roots Worksheet
- Assignment: Estimate Square Roots
- The Real Number System
- Handout: The Real Number System Worksheet
- Assignment: The Real Number System
- The Pythagorean Theorem
- Handout: Pythagorean Theorem Worksheet
- Assignment: Pythagorean Theorem
- Distance on the Coordinate Plane
- Handout: Distance on the Coordinate Plane Worksheet
- Assignment: Distance on the Coordinate Plane

13- Inequalities and Scientific Notation

- Solve Inequalities by Addition or Subtraction
- Handout: Solve Inequalities by Addition or Subtraction Worksheet
- Assignment: Solve Inequalities by Addition or Subtraction
- Solve Inequalities by Multiplication or Division
- Handout: Solve Inequalities by Multiplication or Division Worksheet
- Assignment: Solve Inequalities by Multiplication or Division
- Scientific Notation
- Handout: Scientific Notation Worksheet
- Assignment: Scientific Notation
- Post-test
- Assignment: Post-test
- Handout: Course Evalulation
- Assignment: Course Evaluation

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