Introduction:

This Pre-Algebra Games unit is meant to provide supplemental support to a standard Pre-Algebra course.  The topics covered are typical to a standard Pre-Algebra course and the sequence follows:  Glencoe - Pre-Algebra (2003 ed.).  The games are intended to be used as review materials, informal assessments, and/or as discovery based activities.

Prerequisites:

The Pre-Algebra Games unit should be used concurrently with a standard Pre-Algebra course and should be preceded by Math 6.

Scope:

1.  Topics covered during Pre-Algebra:

Tools of Algebra:

• Problem Solving Plans
• Numbers and Expressions
• Variables and Expressions
• Properties
• Simplifying Algebraic expressions using the Associative and Commutative Properties
• Ordered Pairs and Relations
• Scatter Plots

Integers:

• Integers and Absolute Value
• Subtracting Integers
• Multiplying and Dividing Integers
• The Coordinate System

Equations:

• The Distributive Property
• Simplifying Algebraic Expressions
• Solving One Step Equations
• Solving Two Step Equations
• Writing Two Step Equations
• Using Formulas

Factors and Fractions:

• Factors and Monomials
• Powers and Exponents
• Prime Factorization
• Greatest Common Factor
• Simplifying Algebraic Fractions
• Multiplying and Dividing Monomials
• Negative Exponents
• Scientific Notation

Rational Numbers:

• 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
• Solving Equations with Rational Numbers

Ratios, Proportions, and Percents:

• Ratios and Rates
• Using Proportions
• Scale Drawings and Model
• Fractions, Decimals, and Percents
• Using the Percent Proportion
• Using Percent Equations
• Percent of Change
• Probability and Predictions

Equations and Inequalities:

• Solving Equations with Variables on Each Side
• Solving Equations with Grouping Symbols
• Inequalities
• Solving Inequalities

Functions and Graphing:

• 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
• Graphing Inequalities

Real Numbers and Right Triangles:

• 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

Two Dimensional Figures

• Line and Angle Relationships
• Congruent Triangles
• Transformations of the Coordinate Plane
• Area of Parallelograms, Triangles, and Trapezoids
• Polygons
• Circumference and Area of Circles
• Area of Irregular Figures

2.  Skills to be taught:

• Fluency with Rational Numbers
• Graphing and graphical analysis
• Collaborative and group learning
• Communication: oral and written