Algebra 1

Goal: Perform operations with numbers and expressions to solve problems

Objectives:

  • Understand basic algebra vocabulary
  • Write algebraic expressions to solve problems by:
  • Applying laws of exponents
  • Operating with polynomials
  • Factoring polynomials

RESOURCES:

1. PLATO software exercises: Algebra 1A and Algebra 1B

Students take diagnosticunit 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.

Video Tutorials

  • 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
  • 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
  • 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

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
Lesson Resources: / 1.1 Variables in Algebra
1.2 Exponents and Powers
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 Numbers
Lesson Resources: / 2.1 The Real Number Line
2.2 Addition of Real Numbers
2.3 Subtraction of Real Numbers
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
Lesson Resources: / 3.1 Solving Equations Using Addition and Subtraction
3.2 Solving Equations Using Multiplication and Division
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 Equations and Functions
Lesson Resources: / 4.1 Coordinates and Scatter Plots
4.2 Graphing Linear Equations
4.3 Quick Graphs Using Intercepts
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
Lesson Resources: / 5.1 Writing Linear Equations in Slope-Intercept Form
5.2 Writing Linear Equations Given the Slope and a Point
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 Linear Inequalities
Lesson Resources: / 6.1 Solving One-Step Linear Inequalities
6.2 Solving Multi-Step Linear Inequalities
6.3 Solving Compound Inequalities
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 Equations and Inequalities
Lesson Resources: / 7.1 Solving Linear Systems by Graphing
7.2 Solving Linear Systems by Substitution
7.3 Solving Linear Systems by Linear Combinations
7.4 Applications of Linear Systems
7.5 Special Types of Linear Systems
7.6 Solving Systems of Linear Inequalities
Exponents and Exponential Functions
Lesson Resources: / 8.1 Multiplication Properties of Exponents
8.2 Zero and Negative Exponents
8.3 Division Properties of Exponents
8.4 Scientific Notation
8.5 Exponential Growth Functions
8.6 Exponential Decay Functions
Quadratic Equations and Functions
Lesson Resources: / 9.1 Solving Quadratic Equations by Finding Square Roots
9.2 Simplifying Radicals
9.3 Graphing quadratic functions
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 Factoring
Lesson Resources: / 10.1 Adding and Subtracting Polynomials
10.2 Multiplying Polynomials
10.3 Special Products of Polynomials
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 functions
Lesson Resources: / 11.1 Ratio and Proportion
11.2 Percents
11.3 Direct and Inverse Variation
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 Connections to Geometry
Lesson Resources: / 12.1 Square-Root Functions
12.2 Operations with Radical Expressions
12.3 Solving Radical Equations
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