Solving Linear Equations
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1 1 I like talking about math, and working with a partner allows me to do that. Solving Linear Equations What You Learned Before...1 Section 1.1 Solving Simple Equations Activity...2 Lesson...4 Section 1.2 Solving Multi-Step Equations Activity...10 Lesson...12 Study Help/Graphic Organizer Quiz...17 Section 1.3 Solving Equations with Variables on Both Sides Activity...18 Lesson...20 Extension: Solving Absolute Value Equations...24 Section 1.4 Rewriting Equations and Formulas Activity...26 Lesson Quiz...32 Chapter Review...33 Chapter Test...36 Standards Assessment...37 viii
2 Graphing and Writing Linear Equations 2 What You Learned Before...41 Section 2.1 Graphing Linear Equations Activity Lesson Section 2.2 Slope of a Line Activity Lesson Extension: Slopes of Parallel and Perpendicular Lines Section 2.3 Graphing Linear Equations in Slope-Intercept Form Activity Lesson Section 2.4 Graphing Linear Equations in Standard Form Activity...64 Lesson...66 Study Help/Graphic Organizer Quiz...71 Section 2.5 Writing Equations in Slope-Intercept Form Activity...72 Lesson...74 Section 2.6 Writing Equations in Point-Slope Form Activity...78 Lesson...80 Extension: Writing Equations of Parallel and Perpendicular Lines...84 Section 2.7 Solving Real-Life Problems Activity...86 Lesson Quiz...92 Chapter Review...93 Chapter Test...98 Standards Assessment...99 With my ebook, I get to decide when I use technology and when I use print. ix
3 3 I like that the Essential Question helps me begin thinking about the lesson. Solving Linear Inequalities What You Learned Before Section 3.1 Writing and Graphing Inequalities Activity Lesson Section 3.2 Solving Inequalities Using Addition or Subtraction Activity Lesson Section 3.3 Solving Inequalities Using Multiplication or Division Activity Lesson Study Help/Graphic Organizer Quiz Section 3.4 Solving Multi-Step Inequalities Activity Lesson Extension: Solving Compound Inequalities Section 3.5 Graphing Linear Inequalities in Two Variables Activity Lesson Quiz Chapter Review Chapter Test Standards Assessment x
4 Solving Systems of Linear Equations 4 What You Learned Before Section 4.1 Solving Systems of Linear Equations by Graphing Activity Lesson Section 4.2 Solving Systems of Linear Equations by Substitution Activity Lesson Study Help/Graphic Organizer Quiz Section 4.3 Solving Systems of Linear Equations by Elimination Activity Lesson Section 4.4 Solving Special Systems of Linear Equations Activity Lesson Extension: Solving Linear Equations by Graphing Section 4.5 Systems of Linear Inequalities Activity Lesson Quiz Chapter Review Chapter Test Standards Assessment I really enjoy the projects at the end of the book because they help connect the math to other subjects, like science or art. xi
5 5 Linear Functions I like Newton and Descartes! The cartoons are funny and I like that they model the math that we are learning. What You Learned Before Section 5.1 Domain and Range of a Function Activity Lesson Extension: Relations and Functions Section 5.2 Discrete and Continuous Domains Activity Lesson Section 5.3 Linear Function Patterns Activity Lesson Study Help/Graphic Organizer Quiz Section 5.4 Function Notation Activity Lesson Extension: Special Functions Section 5.5 Comparing Linear and Nonlinear Functions Activity Lesson Section 5.6 Arithmetic Sequences Activity Lesson Quiz Chapter Review Chapter Test Standards Assessment xii
6 Exponential Equations and Functions 6 What You Learned Before Section 6.1 Properties of Square Roots Activity Lesson Extension: Real Number Operations Section 6.2 Properties of Exponents Activity Lesson Section 6.3 Radicals and Rational Exponents Activity Lesson Study Help/Graphic Organizer Quiz Section 6.4 Exponential Functions Activity Lesson Extension: Solving Exponential Equations Section 6.5 Exponential Growth Activity Lesson Section 6.6 Exponential Decay Activity Lesson Section 6.7 Geometric Sequences Activity Lesson Extension: Recursively Defined Sequences Quiz Chapter Review Chapter Test Standards Assessment I really like the Big Ideas Math website! The online resources are a huge help when I get stuck or need extra help. xiii
7 7 Polynomial Equations and Factoring I like the real-life application exercises because they show me how I can use the math in my own life. What You Learned Before Section 7.1 Polynomials Activity Lesson Section 7.2 Adding and Subtracting Polynomials Activity Lesson Section 7.3 Multiplying Polynomials Activity Lesson Section 7.4 Special Products of Polynomials Activity Lesson Study Help/Graphic Organizer Quiz Section 7.5 Solving Polynomial Equations in Factored Form Activity Lesson Section 7.6 Factoring Polynomials Using the GCF Activity Lesson Section 7.7 Factoring x 2 + bx + c Activity Lesson Section 7.8 Factoring ax 2 + bx + c Activity Lesson Section 7.9 Factoring Special Products Activity Lesson Extension: Factoring Polynomials Completely Quiz Chapter Review Chapter Test Standards Assessment xiv
8 Graphing Quadratic Functions 8 What You Learned Before Section 8.1 Graphing y = ax 2 Activity Lesson Section 8.2 Focus of a Parabola Activity Lesson Section 8.3 Graphing y = ax 2 + c Activity Lesson Study Help/Graphic Organizer Quiz Section 8.4 Graphing y = ax 2 + bx + c Activity Lesson Extension: Graphing y = a(x h) 2 + k Section 8.5 Comparing Linear, Exponential, and Quadratic Functions Activity Lesson Extension: Comparing Graphs of Functions Quiz Chapter Review Chapter Test Standards Assessment I like playing the games in the Game Closet! They are a fun way to practice concepts we are learning in class. xv
9 9 Solving Quadratic Equations With the BigIdeasMath.com website I don t have to worry if I forget my book or my workbook at school. What You Learned Before Section 9.1 Solving Quadratic Equations by Graphing Activity Lesson Section 9.2 Solving Quadratic Equations Using Square Roots Activity Lesson Section 9.3 Solving Quadratic Equations by Completing the Square Activity Lesson Study Help/Graphic Organizer Quiz Section 9.4 Solving Quadratic Equations Using the Quadratic Formula Activity Lesson Extension: Choosing a Solution Method Section 9.5 Solving Systems of Linear and Quadratic Equations Activity Lesson Quiz Chapter Review Chapter Test Standards Assessment xvi
10 Square Root Functions and Geometry 10 What You Learned Before Section 10.1 Graphing Square Root Functions Activity Lesson Extension: Rationalizing the Denominator Section 10.2 Solving Square Root Equations Activity Lesson Study Help/Graphic Organizer Quiz Section 10.3 The Pythagorean Theorem Activity Lesson Section 10.4 Using the Pythagorean Theorem Activity Lesson Quiz Chapter Review Chapter Test Standards Assessment I like that I can print the Glossary Flashcards to review before a test. xvii
11 11 Rational Equations and Functions Before my school had Big Ideas Math I would always lose test points because I left units off my answers. Now I see why they are so important. What You Learned Before Section 11.1 Direct and Inverse Variation Activity Lesson Section 11.2 Graphing Rational Functions Activity Lesson Extension: Inverse of a Function Section 11.3 Simplifying Rational Expressions Activity Lesson Study Help/Graphic Organizer Quiz Section 11.4 Multiplying and Dividing Rational Expressions Activity Lesson Section 11.5 Dividing Polynomials Activity Lesson Section 11.6 Adding and Subtracting Rational Expressions Activity Lesson Section 11.7 Solving Rational Equations Activity Lesson Quiz Chapter Review Chapter Test Standards Assessment xviii
12 Data Analysis and Displayss What You Learned Before Section 12.1 Measures of Central Tendency Activity Lesson Section 12.2 Measures of Dispersion Activity Lesson Section 12.3 Box-and-Whisker Plots Activity Lesson Section 12.4 Shapes of Distributions Activity Lesson Study Help/Graphic Organizer Quiz Section 12.5 Scatter Plots and Lines of Fit Activity Lesson Section 12.6 Analyzing Lines of Fit Activity Lesson Section 12.7 Two-Way Tables Activity Lesson Section 12.8 Choosing a Data Display Activity Lesson Quiz Chapter Review Chapter Test Standards Assessment Appendix A: My Big Ideas Projects Section A.1 Literature Project...A2..A2 Section A.2 History Project... A4 Section A.3 Art Project... A6 Section A.4 Science Project... A8 Selected Answers...A10 Key Vocabulary Index...A65 Student Index...A66 Mathematics Reference Sheet.... B1 12 Word problems used to confuse me. Now I understand how to look for patterns and what the question is asking! xix x
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