Algebra 1
Goal: Perform operations with numbers and expressions to solve problems
Objectives:
 Understand basic algebra vocabulary
 Write algebraic expressions to solve problems by:
o Applying laws of exponents
o Operating with polynomials
o Factoring polynomials
RESOURCES:
1. PLATO software exercises: Algebra 1A and Algebra 1B
Students take diagnostic unit pretests to see what concepts they need to study. After going through the
PLATO lesson sequence of Tutorials, Applications, and Mastery Tests, then they may print Certificates
of Achievement and take Post-tests to show growth.
PLATO Algebra 1A Assignment menu
PLATO Algebra 1B Assignment menu
2. Algebra 1 Online Video Tutorials: Very good online tutorials with easy to follow explanations and
colorful modeling of concepts. There are also video tutorials and related quizzes/tests for Pre-Algebra,
Geometry, and Algebra II.
http://www.phschool.com/webcodes10/index.cfm?area=view&wcprefix=atk&wcsuffix=0099
Video Tutorials
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Chapter 1: Variables, Function Patterns, and Graphs
Lesson 1: Using Variables
Lesson 2: Exponents and Order of Operations
Lesson 3: Exploring Real Numbers
Lesson 4: Introducing Functions
Lesson 5: Scatter Plots
Lesson 6: Mean, Median, Mode, and Range
Chapter 2: Rational Numbers
Lesson 1: Adding Rational Numbers
Lesson 2: Subtracting Rational Numbers
Lesson 3: Multiplying and Dividing Rational Numbers
Lesson 4: The Distributive Property
Lesson 5: Properties of Numbers
Lesson 6: Theoretical and Experimental Probability
Lesson 7: Probability of Compound Events
Chapter 3: Solving Equations
Lesson 1: Solving Two-Step Equations
Lesson 2: Solving Multi-Step Equations
Lesson 3: Equations With Variables on Both Sides
Lesson 4: Ratio and Proportion
Lesson 5: Proportions and Similar Figures
Lesson 6: Equations and Problem Solving
Lesson 7: Percent of Change
Lesson 8: Finding and Estimating Square Roots
Lesson 9: The Pythagorean Theorem
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Chapter 4: Solving Inequalities
Lesson 1: Inequalities and Their Graphs
Lesson 2: Solving Inequalities Using Addition and Subtraction
Lesson 3: Solving Inequalities Using Multiplication and Division
Lesson 4: Solving Multi-Step Inequalities
Lesson 5: Compound Inequalities
Lesson 6: Absolute Value Equations and Inequalities
Chapter 5: Graphs and Functions
Lesson 1: Relating Graphs to Events
Lesson 2: Relations and Functions
Lesson 3: Function Rules, Tables, and Graphs
Lesson 4: Writing a Function Rule
Lesson 5: Direct Variation
Lesson 6: Inverse Variation
Lesson 7: Describing Number Patterns
Chapter 6: Linear Equations and Their Graphs
Lesson 1: Rate of Change and Slope
Lesson 2: Slope-Intercept Form
Lesson 3: Applying Linear Functions
Lesson 4: Standard Form
Lesson 5: Point-Slope Form and Writing Linear Equations
Lesson 6: Parallel and Perpendicular Lines
Lesson 7: Scatter Plots and Equations of Lines
Lesson 8: Graphing Absolute Value Equations
Chapter 7: Systems of Equations and Inequalities
Lesson 1: Solving Systems by Graphing
Lesson 2: Solving Systems Using Substitution
Lesson 3: Solving Systems Using Elimination
Lesson 4: Applications of Linear Systems
Lesson 5: Linear Inequalities
Lesson 6: Systems of Linear Inequalities
Chapter 8: Exponents and Exponential Functions
Lesson 1: Zero and Negative Exponents
Lesson 2: Scientific Notation
Lesson 3: Multiplication Properties of Exponents
Lesson 4: More Multiplication Properties of Exponents
Lesson 5: Division Properties of Exponents
Lesson 6: Geometric Sequences
Lesson 7: Exponential Functions
Lesson 8: Exponential Growth and Decay
Chapter 9: Polynomials and Factoring
Lesson 1: Adding and Subtracting Polynomials
Lesson 2: Multiplying and Factoring
Lesson 3: Multiplying Binomials
Lesson 4: Multiplying Special Cases
Lesson 5: Factoring Trinomials of the Type x2 + bx + c
Lesson 6: Factoring Trinomials of the Type ax2 + bx + c
Lesson 7: Factoring Special Cases
Lesson 8: Factoring by Grouping
Chapter 10: Quadratic Equations and Functions
Lesson 1: Exploring Quadratic Graphs
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Lesson 2: Quadratic Functions
Lesson 3: Solving Quadratic Equations
Lesson 4: Factoring to Solve Quadratic Equations
Lesson 5: Completing the Square
Lesson 6: Using the Quadratic Formula
Lesson 7: Using the Discriminant
Lesson 8: Choosing a Linear, Quadratic, or Exponential Model
Chapter 11:Radical Expressions and Equations
Lesson 1: Simplifying Radicals
Lesson 2: Operations With Radical Expressions
Lesson 3: Solving Radical Equations
Lesson 4: Graphing Square Root Functions
Lesson 5: Trigonometric Ratios
Lesson 6: Angles of Elevation and Depression
Chapter 12: Rational Expressions and Functions
Lesson 1: Graphing Rational Functions
Lesson 2: Simplifying Rational Expressions
Lesson 3: Multiplying and Dividing Rational Expressions
Lesson 4: Dividing Polynomials
Lesson 5: Adding and Subtracting Rational Equations
Lesson 6: Solving Rational Equations
Lesson 7: Counting Methods and Permutations
Lesson 8: Combinations
3. WORD PROBLEM PRACTICE
http://www.classzone.com/cz/find_book.htm?tmpState=&disciplineSchool=ma_hs&state=NC&x=29&y=24
Students may choose a topic from the list below to study and practice. After they click the topic link and study the concept,
they can practice the word problems related to that concept by clicking on Parent Guide for Student Success. There is also
an answer key for these word problems. For further explanations, there are Audio Summaries Transcripts in English,
Spanish, and Haitian Creole. There are other levels of math available as well (Algebra Readiness, Algebra 1, Geometry,
Algebra 2, Pre-Calculus, Integrated Math).
Online Math Resources
Word Problem Practice
Explanations in Spanish and Haitian Creole
ALGEBRA 1 (other math courses available at classzone.com)
Connections to Algebra 1.1 Variables in Algebra
1.2 Exponents and Powers
Lesson Resources: 1.3 Order of Operations
1.4 Equations and Inequalities
1.5 A Problem Solving Plan Using Models
1.6 Tables and Graphs: Exploring Data and Statistics
1.7 An Introduction to Functions
Properties of Real 2.1 The Real Number Line
Numbers 2.2 Addition of Real Numbers
2.3 Subtraction of Real Numbers
Lesson Resources: 2.4 Adding and Subtracting Matrices
2.5 Multiplication of Real Numbers
2.6 The Distributive Property
2.7 Division of Real Numbers
2.8 Probability and Odds
Solving Linear Equations 3.1 Solving Equations Using Addition and Subtraction
3.2 Solving Equations Using Multiplication and Division
Lesson Resources: 3.3 Solving Multi-Step Equations
3.4 Solving Equations with Variables on Both Sides
3.5 Linear Equations and Problem Solving
3.6 Solving Decimal Equations
3.7 Formulas and Functions
3.8 Rates, Ratios, and Percents
Graphing Linear 4.1 Coordinates and Scatter Plots
Equations and Functions 4.2 Graphing Linear Equations
4.3 Quick Graphs Using Intercepts
Lesson Resources: 4.4 The Slope of a Line
4.5 Direct Variation
4.6 Quick Graphs Using Slope-Intercept Form
4.7 Solving Linear Equations Using Graphs
4.8 Functions and Relations
Writing Linear Equations 5.1 Writing Linear Equations in Slope-Intercept Form
5.2 Writing Linear Equations Given the Slope and a Point
Lesson Resources: 5.3 Writing Linear Equations Given Two Points
5.4 Fitting a Line to Data
5.5 Point-Slope Form of a Linear Equation
5.6 The Standard Form of a Linear Equation
5.7 Predicting with Linear Models
Solving and Graphing 6.1 Solving One-Step Linear Inequalities
Linear Inequalities 6.2 Solving Multi-Step Linear Inequalities
6.3 Solving Compound Inequalities
Lesson Resources: 6.4 Solving Absolute-Value Equations and Inequalities
6.5 Graphing Linear Inequalities in Two Variables
6.6 Stem-and-Leaf Plots and Mean, Median, and Mode
6.7 Box-and-Whisker Plots
Systems of Linear 7.1 Solving Linear Systems by Graphing
Equations and 7.2 Solving Linear Systems by Substitution
Inequalities 7.3 Solving Linear Systems by Linear Combinations
7.4 Applications of Linear Systems
Lesson Resources: 7.5 Special Types of Linear Systems
7.6 Solving Systems of Linear Inequalities
Exponents and 8.1 Multiplication Properties of Exponents
Exponential Functions 8.2 Zero and Negative Exponents
8.3 Division Properties of Exponents
Lesson Resources: 8.4 Scientific Notation
8.5 Exponential Growth Functions
8.6 Exponential Decay Functions
Quadratic Equations and 9.1 Solving Quadratic Equations by Finding Square Roots
Functions 9.2 Simplifying Radicals
9.3 Graphing quadratic functions
Lesson Resources: 9.4 Solving Quadratic Equations by Graphing
9.5 Solving Quadratic Equations by the Quadratic Formula
9.6 Applications of the Discriminant
9.7 Graphing Quadratic Inequalities
9.8 Comparing Linear, Exponential, and Quadratic Models
Polynomials and 10.1 Adding and Subtracting Polynomials
Factoring 10.2 Multiplying Polynomials
10.3 Special Products of Polynomials
Lesson Resources: 10.4 Solving Polynomial Equations in Factored Form
10.5 Factoring x2 + bx + c
10.6 Factoring ax2 + bx + c
10.7 Factoring Special Products
10.8 Factoring Using the Distributive Property
Rational Equations and 11.1 Ratio and Proportion
functions 11.2 Percents
11.3 Direct and Inverse Variation
Lesson Resources: 11.4 Simplifying Rational Expressions
11.5 Multiplying and Dividing Rational Expressions
11.6 Adding and Subtracting Rational Expressions
11.7 Dividing Polynomials
11.8 Rational Equations and Functions
Radicals and 12.1 Square-Root Functions
Connections to Geometry 12.2 Operations with Radical Expressions
12.3 Solving Radical Equations
Lesson Resources: 12.4 Completing the Square
12.5 The Pythagorean Theorem and Its Converse
12.6 The Distance and Midpoint Formulas
12.7 Trigonometric Ratios
12.8 Logical Reasoning: Proof
4. Supplemental Algebra Resources (vocabulary, posters, bulletin boards, puzzles, signal words)
Algebra Vocabulary
Math Signal Words
Math Vocabulary
Math Vocabulary Sheet