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
  • Adding Integers
  • 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
  • Quadrilaterals
  • 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
  • Comprehension: listening and reading
  • Computation
  • Critical thinking
  • Observation

 

Sequence:

The entire unit corresponds with a yearlong Pre-Algebra course.   The games range from 30 minutes to 90 minutes.  Each unit has two to three games.  The card games, bingo, and war are intended to be used mid-unit as a reinforcement of specific topics.  The Jeopardy and Millionaire games are intended to be used for review at the end of each unit.  They prepare students for the unit exam and generally work best the day before each assessment.

 

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