August 23, 2010

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This folder contains hands-on and discovery-based projects that follow the topics covered in a standard Pre-Algebra course.

- Mathematics > General

- Grade 6
- Grade 7
- Grade 8

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Table of Contents

- Unit 1: Tools of Algebra
- Unit 2: Integers
- Unit 3: Equations
- Unit 4: Factors and Fractions
- Unit 5: Rational Numbers
- Unit 6: Ratios, Proportions, and Percents
- Unit 7: Equations and Inequalities
- Unit 8: Functions and Graphing
- Unit 9: Real Numbers and Right Triangles
- Unit 10: Two-Dimensional Figures
- Read Me: Project Based Pre-Algebra
- The Number System and Exponents

This folder contains hands-on and discovery-based projects that follow the topics covered in a standard Pre-Algebra course.

The topics covered in Unit 1 include: Problem Solving Plans, Numbers and Expressions, Variables and Expressions, Properties, Simplifying Algebraic expressions using the Associative and Commutative Properties, Ordered Pairs and Relations, and Scatter Plots.

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The topics covered in Unit 2 include: Integers and Absolute Value, Adding Integers, Subtracting Integers, Multiplying and Dividing Integers, and the Coordinate System.

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The topics covered in Unit 3 include: The Distributive Property, Simplifying Algebraic Expressions, Solving One Step Equations, Solving Two Step Equations, Writing Two Step Equations, and Using Formulas.

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The topics covered in Unit 4 include: Factors and Monomials, Powers and Exponents, Prime Factorization, Greatest Common Factor, Simplifying Algebraic Fractions, Multiplying and Dividing Monomials, Negative Exponents, and Scientific Notation.

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The topics covered in Unit 5 include: Writing Fractions as Decimals, Rational Numbers, Multiplying Rational Numbers, Dividing Rational Numbers, Adding and Subtracting Like Fractions, Least Common Multiple, Adding and Subtracting Unlike Fractions, Measures of Central Tendency, and Solving Equations with Rational Numbers.

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The topics covered in Unit 6 include: Ratios and Rates, Using Proportions, Scale Drawings and Model, Fractions, Decimals, and Percents, Using the Percent Proportion, Using Percent Equations, Percent of Change, and Probability and Predictions.

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The topics covered in Unit 7 include: Solving Equations with Variables on Each Side, Solving Equations with Grouping Symbols, Inequalities, and Solving Inequalities.

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The topics covered in Unit 8 include: Functions, Linear Equations in Two Variables, Graphing Linear Equations Using Intercepts, Slope, Rate of Change, Slope-Intercept Form, Writing Linear Equations, Best-Fit Lines, Solving Systems of Equations, and Graphing Inequalities.

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The topics covered in Unit 9 include: Squares and Square Roots, The Real Number System, Angles, Triangles, The Pythagorean Theorem, The Distance and Midpoint Formulas, Similar Triangles and Indirect Measurement, Sine, Cosine, and Tangent Ratios.

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The topics covered in Unit 10 include: Line and Angle Relationships, Congruent Triangles, Transformations of a Coordinate Plane, Quadrilaterals, Area of Parallelograms, Triangles, and Trapezoids, Polygons, Circumference and Area of Circles, and Area of Irregular Figures.

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This is an overview of the Project Based Pre-Algebra unit for students.

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Teacher Resources from Howard County Public School System: "In this unit, students will know that there are numbers that are not rational, and approximate them by rational numbers. Students should know that numbers that are not rational are called irrational and understand that every number has a decimal expansion. For rational numbers students should show that the decimal expansion repeats eventually. Students should also use rational approximations of irrational numbers to compare the size of irrational numbers and approximately locate them on a number line diagram. "

Supports the following Standards of Mathematical Practice

• 2 Reason abstractly and quantitatively.

• 7 Look for and make use of structure.

• 8 Look for and express regularity in repeated reasoning.

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