Grade 7 Pre-Algebra Outline

Chapter 1: Tools of Álgebra

Problem-solving
Numbers and expressions (order of operations)
Variables & Expressions
Properties (including distributive)
Variables & Expressions
Variables & Equations
Solving Equations Using Inverse Operations
Inequalities

Chapter 2: Integers

Integers & Absolute ValueComparing & Ordering Integers
Coordinate System; order pairs; domain/range
Adding integers
Subtracting integers
Multiplying integers
Dividing integers

Chapter 3: 1-step Equations and Inequalities

Simplifying algebraic expressions
Solving equations by adding or subtracting
Solving equations by multiplying or dividing

Chapter 4: Factors, Fractions, & Exponents

Factors & Monomials
Powers & Exponents
Prime Factorization
GCF
LCM
Simplifying algebraic fractions
Multiplying and Dividing Monomials
Negative Exponents

Chapter 5: Rational Numbers

Writing Fractions as Decimals
Rational Numbers
Multiplying Rational Numbers
Dividing Rational Numbers
Adding & Subtracting Like Fractions
Adding & Subtracting Unlike Fractions
Multiplying & Dividing Fractions
Measures of Central Tendency (mean, median, mode)
Solving Equations with Rational Numbers
Arthimetic and Geometric Sequences

Chapter 6: Ratio, Proportion & Percent

Ratios & Rates
Using Proportion
Scale drawings
Fractions, decimals, percents
Using the Percent Proportion
Percent of Change
Probability & Prediction

Chapter 7: Solving Equations & Inequalities

Solving Equations with Variables on Both Sides
Solving Equations with Grouping Symbols
Inequalities
Solving Inequalities by Adding or Subtracting
Solving Inequalities by Multiplying or Dividing
Solving Multi-step Inequalities

Chapter 8: Functions & Graphing

Functions
Linear Equations in Two Variables
Graphing Linear Equations Using Intercepts
Slope
Rate of Change
Slope-Intercept Form
Writing Linear Equations
Scatter Plots & Best-Fit lines
Solving Systems of Equations
Graphing Inequalities

Chapter 9: Real Numbers & Right Triangles

Squares and square roots
The Real Number System
Angles
Triangles