GRADE 8 Algebra Outline

Chapter 1: The Language of Algebra
Variables & Expressions, Order of Operations, Open Sentences, Identity & Equality Properties, Distributive Property, Commutative & Associative Property, Graphs & Functions.

Chapter 2: Real Numbers
Rational Numbers, Adding & Subtracting Rational Numbers, Multiplying and Dividing Rational Numbers, Probability, Square Roots & Real Numbers.

Chapter 3: Solving Linear Equations
Writing Equations, Solving Equations using Addition, Subtraction, Multiplication, and Division, Multi-step equations, Solving equations with variables on both sides, Ratios & Proportions, Percent of Change.

Chapter 4: Graphing Relations and Functions
Coordinate Plane, Transformations, Relations & Equations, Graphing Linear Equations, Functions, Arithmetic Sequences.

Chapter 5: Analyzing Linear Equations
Slope, Slope-Intercept Form, Writing Equations in Slope-Intercept From and Point-Slope Form, Parallel & Perpendicular Lines, Scatter Plots & Lines of Best Fit.

Chapter 6: Solving Linear Inequalities
Solving Inequalities by Addition, Subtraction, Multiplication, & Division. Multi-Step Inequalities, Compound Inequalities, Solving Open Sentences Involving Absolute Value, Graphing Inequalities in Two Variables.

Chapter 7: Solving Systems of Linear Equations and Inequalities
Graphing Systems of Equations, Substitution, Elimination Using Addition, Subtraction, and Multiplication, Graphing Systems of Inequalities

Chapter 8: Polynomials
Multiplying & Dividing Monomials, Adding & Subtracting Polynomials, Multiplying Polynomials by Monomials and Polynomials.

Chapter 9: Factoring
Factors & GCF
Factoring Using the Distributive Property
Factoring Trinomials
Factoring Difference of Squares
Perfect Squares and Factoring

Chapter 10: Quadratic and Exponential Functions

Chapter 11: Radical Expressions
Simplifying Radical Expressions

Chapter 13: Statistics
Introduction to Matrices

Week of September 4

Grade8
Chapter 1 Test on Monday, September 4 ; All sections except 1-7 and 1-9

Grade 7
The Coordinate Plane
Adding and Subtracting Integers
Quiz: Tuesday, September 5Integers & Absolute Value, Comparing & Ordering Integers

WEEK OF AUGUST 28

Grade 7 and Grade 8:

FOLDABLES (PROPERTIES)
The following properties should be displayed in your foldable.

• Identity property of Addition
• Identity property of Multiplication
• Multiplication Property of Zero
• Multiplicative Inverse Property
• Distributive Property
• Commutative Property
• Associative Property

You will be evaluted on content, organization/neatness, as well as application to real-life situations.

Rubric:

Content - Accuracy
All facts in the foldable are accurate. 3
Most of the facts in the foldable are accurate. 2
The foldable is missing a lot of information and/or properties. 1

Attractiveness & Organization
The foldable has exceptionally attractive formatting and well-organized information. 3
The foldable has attractive formatting and well-organized information. 2
The foldable's formatting and organization of material are confusing or disorganized or messy. 1

Application to Real-Life
Able to relate all properties to real-life situations accurately and realistically. 3
Able to relate most properties to real-life situations or most properties are accurately related. 2
Unable or has difficulties applying the properties to real-life situations. 1

Grade 7:

Chapter 1 Test on Wednesday, August 30

Grade 8:

Quiz Monday, August 28; Properties; Sections 1-4, 1-5, and 1-6

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