Goal: Perform Operations with Numbers and Expressions to Solve Problems

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

 Chapter 1: Variables, Function Patterns, and Graphs o Lesson 1: Using Variables o Lesson 2: Exponents and Order of Operations o Lesson 3: Exploring Real Numbers o Lesson 4: Introducing Functions o Lesson 5: Scatter Plots o Lesson 6: Mean, Median, Mode, and Range

 Chapter 2: Rational Numbers o Lesson 1: Adding Rational Numbers o Lesson 2: Subtracting Rational Numbers o Lesson 3: Multiplying and Dividing Rational Numbers o Lesson 4: The Distributive Property o Lesson 5: Properties of Numbers o Lesson 6: Theoretical and Experimental Probability o Lesson 7: Probability of Compound Events

 Chapter 3: Solving Equations o Lesson 1: Solving Two-Step Equations o Lesson 2: Solving Multi-Step Equations o Lesson 3: Equations With Variables on Both Sides o Lesson 4: Ratio and Proportion o Lesson 5: Proportions and Similar Figures o Lesson 6: Equations and Problem Solving o Lesson 7: Percent of Change o Lesson 8: Finding and Estimating Square Roots o Lesson 9: The Pythagorean Theorem

 Chapter 4: Solving Inequalities o Lesson 1: Inequalities and Their Graphs o Lesson 2: Solving Inequalities Using Addition and Subtraction o Lesson 3: Solving Inequalities Using Multiplication and Division o Lesson 4: Solving Multi-Step Inequalities o Lesson 5: Compound Inequalities o Lesson 6: Absolute Value Equations and Inequalities

 Chapter 5: Graphs and Functions o Lesson 1: Relating Graphs to Events o Lesson 2: Relations and Functions o Lesson 3: Function Rules, Tables, and Graphs o Lesson 4: Writing a Function Rule o Lesson 5: Direct Variation o Lesson 6: Inverse Variation o Lesson 7: Describing Number Patterns

 Chapter 6: Linear Equations and Their Graphs o Lesson 1: Rate of Change and Slope o Lesson 2: Slope-Intercept Form o Lesson 3: Applying Linear Functions o Lesson 4: Standard Form o Lesson 5: Point-Slope Form and Writing Linear Equations o Lesson 6: Parallel and Perpendicular Lines o Lesson 7: Scatter Plots and Equations of Lines o Lesson 8: Graphing Absolute Value Equations

 Chapter 7: Systems of Equations and Inequalities o Lesson 1: Solving Systems by Graphing o Lesson 2: Solving Systems Using Substitution o Lesson 3: Solving Systems Using Elimination o Lesson 4: Applications of Linear Systems o Lesson 5: Linear Inequalities o Lesson 6: Systems of Linear Inequalities

 Chapter 8: Exponents and Exponential Functions o Lesson 1: Zero and Negative Exponents o Lesson 2: Scientific Notation o Lesson 3: Multiplication Properties of Exponents o Lesson 4: More Multiplication Properties of Exponents o Lesson 5: Division Properties of Exponents o Lesson 6: Geometric Sequences o Lesson 7: Exponential Functions o Lesson 8: Exponential Growth and Decay

 Chapter 9: Polynomials and Factoring o Lesson 1: Adding and Subtracting Polynomials o Lesson 2: Multiplying and Factoring o Lesson 3: Multiplying Binomials o Lesson 4: Multiplying Special Cases o Lesson 5: Factoring Trinomials of the Type x2 + bx + c o Lesson 6: Factoring Trinomials of the Type ax2 + bx + c o Lesson 7: Factoring Special Cases o Lesson 8: Factoring by Grouping

 Chapter 10: Quadratic Equations and Functions o Lesson 1: Exploring Quadratic Graphs o Lesson 2: Quadratic Functions o Lesson 3: Solving Quadratic Equations o Lesson 4: Factoring to Solve Quadratic Equations o Lesson 5: Completing the Square o Lesson 6: Using the Quadratic Formula o Lesson 7: Using the Discriminant o Lesson 8: Choosing a Linear, Quadratic, or Exponential Model

 Chapter 11:Radical Expressions and Equations o Lesson 1: Simplifying Radicals o Lesson 2: Operations With Radical Expressions o Lesson 3: Solving Radical Equations o Lesson 4: Graphing Square Root Functions o Lesson 5: Trigonometric Ratios o Lesson 6: Angles of Elevation and Depression

 Chapter 12: Rational Expressions and Functions o Lesson 1: Graphing Rational Functions o Lesson 2: Simplifying Rational Expressions o Lesson 3: Multiplying and Dividing Rational Expressions o Lesson 4: Dividing Polynomials o Lesson 5: Adding and Subtracting Rational Equations o Lesson 6: Solving Rational Equations o Lesson 7: Counting Methods and Permutations o 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 x 2 + bx + c 10.6 Factoring ax 2 + 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 Connections 12.1 Square-Root Functions 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