This Project Based Pre-Algebra 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 projects are meant to connect the world of math to that of art. They allow students to make connections that would not normally occur while completing problem sets. These projects follow the typical sequence of a 7th/8th grade Pre-Algebra course. The major concepts covered will be integers, equations, factors and fractions, rational numbers, ratios, proportions, percents, inequalities, functions, graphing, right triangles, and two-dimensional figures. These projects are to be used in conjunction with a standard Pre-Algebra curriculum.

Prerequisites:

The Project Based Pre-Algebra 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

Problem Solving

Observation

Sequence:

The entire unit corresponds with a yearlong Pre-Algebra course. The projects range from 90-120 minutes. Each unit has one project and they usually align with the one or two topics, so assign them accordingly. The projects will typically require at least two 45 minute periods to complete.