Algebra 2 Connections Book Cover

Algebra 2 Connections

TEACHER RESOURCES

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Chapter 1: Investigations and Functions
 Opening 1.OP Chapter Opening Section 1.1 1.1.1 Solving Puzzles in Teams 1.1.2 Using a Graphing Calculator to Explore a Function 1.1.3 Domain and Range 1.1.4 Points of Intersection in Multiple Representations Section 1.2 1.2.1 Modeling a Geometric Relationship 1.2.2 Function Investigation 1.2.3 The Family of Linear Functions 1.2.4 Function Investigation Challenge Closure 1.CL Chapter Closure

Chapter 2: Sequences and Equivalence
 Opening 2.OP Chapter Opening Section 2.1 2.1.1 Representing Exponential Growth 2.1.2 Rebound Ratio 2.1.3 The Bouncing Ball and Exponential Decay 2.1.4 Generating and Investigating Sequences 2.1.5 Generalizing Arithmetic Sequences 2.1.6 Using Multipliers to Solve Problems 2.1.7 Comparing Sequences and Functions 2.1.8 Sequences that Begin with n = 1 Section 2.2 2.2.1 Equivalent Expressions 2.2.2 Area Models and Equivalent Expressions 2.2.3 Solving by Rewriting Closure 2.CL Chapter Closure

Chapter 3: Exponential Functions
 Opening 3.OP Chapter Opening Section 3.1 3.1.1 Investigating y = bx 3.1.2 Multiple Representations 3.1.3 More Applications of Exponential Growth 3.1.4 Exponential Decay 3.1.5 Graph to Rule 3.1.6 Completing the Web Section 3.2 3.2.1 Curve Fitting and Fractional Exponents 3.2.2 More Curve Fitting 3.2.3 Solving a System of Exponential Functions Graphically Closure 3.CL Chapter Closure

Chapter 4: Transformations of Parent Graphs
 Opening 4.OP Chapter Opening Section 4.1 4.1.1 Modeling Non-Linear Data 4.1.2 Parabola Investigation 4.1.3 Graphing a Parabola Without a Table 4.1.4 Mathematical Modeling with Parabolas Section 4.2 4.2.1 Transforming Other Parent Graphs 4.2.2 Describing (h, k) for Each Family of Functions 4.2.3 Transforming the Absolute Value Parent Graph 4.2.4 Transforming Non-Functions Section 4.3 4.3.1 Completing the Square 4.3.2 More Completing the Square Closure 4.CL Chapter Closure

Chapter 5: Solving and Intersections
 Opening 5.OP Chapter Opening Section 5.1 5.1.1 Strategies for Solving Equations 5.1.2 Solving Equations and Systems Graphically 5.1.3 Finding Multiple Solutions to Systems of Equations 5.1.4 Using Systems of Equations to Solve Problems Section 5.2 5.2.1 Solving Inequalities with One or Two Variables 5.2.2 Using Systems to Solve a Problem 5.2.3 Applications of Systems of Linear Inequalities 5.2.4 Using Graphs to Find Solutions Closure 5.CL Chapter Closure

Chapter 6: Inverses and Logarithms
 Opening 6.OP Chapter Opening Section 6.1 6.1.1 Undo Rules 6.1.2 Using a Graph to Find the Inverse 6.1.3 Finding Inverses and Justifying Algebraically Section 6.2 6.2.1 Finding the Inverse of an Exponential Function 6.2.2 Defining the Inverse of an Exponential Function 6.2.3 Investigating the Family of Logarithmic Functions 6.2.4 Transformations of Log Graphs 6.2.5 Investigating Compositions of Functions Closure 6.CL Chapter Closure

Chapter 7: 3-D Graphing and Logarithms
 Opening 7.OP Chapter Opening Section 7.1 7.1.1 Creating a Three-Dimensional Model 7.1.2 Graphing Equations in Three Dimensions 7.1.3 Systems of Three-Variable Equations 7.1.4 Solving Systems of Three Equations with Three Unknowns 7.1.5 Using Systems of Three Equations for Curve Fitting Section 7.2 7.2.1 Using Logarithms to Solve Exponential Equations 7.2.2 Investigating the Properties of Logarithms 7.2.3 Writing Equations of Exponential Functions 7.2.4 An Application of Logarithms Section 7.3 7.3.1 Introduction to Matrices 7.3.2 Matrix Multiplication 7.3.3 Matrix Multiplication with a Graphing Calculator 7.3.4 Writing Systems as Matrix Equations 7.3.5 Using Matrices to Solve Systems of Equations Closure 7.CL Chapter Closure

Chapter 8: Trigonometric Functions
 Opening 8.OP Chapter Opening Section 8.1 8.1.1 Introduction to Cyclic Models 8.1.2 Graphing the Sine Function 8.1.3 Unit Circle ↔ Graph 8.1.4 Graphing and Interpreting the Cosine Function 8.1.5 Defining a Radian 8.1.6 Building a Unit Circle 8.1.7 The Tangent Function Section 8.2 8.2.1 Transformations of y = sin x 8.2.2 One More Parameter for a Cyclic Function 8.2.3 Period of a Cyclic Function 8.2.4 Graph ↔ Equation Closure 8.CL Chapter Closure

Chapter 9: Polynomial Functions
 Opening 9.OP Chapter Opening Section 9.1 9.1.1 Sketching Graphs of Polynomial Functions 9.1.2 More Graphs of Polynomials 9.1.3 Stretch Coefficients for Polynomial Functions Section 9.2 9.2.1 Introducing Imaginary Numbers 9.2.2 Complex Roots 9.2.3 More Complex Numbers and Equations Section 9.3 9.3.1 Polynomial Division 9.3.2 Factors and Integral Roots 9.3.3 An Application of Polynomials Closure 9.CL Chapter Closure

Chapter 10: Probability and Counting
 Opening 10.OP Chapter Opening Section 10.1 10.1.1 Probability and Expected Value 10.1.2 Conditional Probabilities Section 10.2 10.2.1 The Fundamental Principle of Counting 10.2.2 Permutations 10.2.3 Combinations 10.2.4 Categorizing Counting Problems 10.2.5 Choosing Counting Methods 10.2.6 Some Challenging Probability Problems Closure 10.CL Chapter Closure

Chapter 11: Conic Sections
 Opening 11.OP Chapter Opening Section 11.1 11.1.1 A Special Property of Parabolas 11.1.2 Constructing and Analyzing Parabolas Section 11.2 11.2.1 Sections of a Cone 11.2.2 Multiple Perspective on Parabolas and Circles 11.2.3 Equations of Ellipses 11.2.4 Equation ↔ Graph for Ellipses 11.2.5 A New Conic Section 11.2.6 Equation ↔ Graph for Hyperbolas Section 11.3 11.3.1 Identifying and Graphing Conic Sections 11.3.2 Graphing Form for Conic Sections 11.3.3 Quadratic Relations 11.3.4 Conic Sections Project Closure 11.CL Chapter Closure

Chapter 12: Series
 Chapter 12.1 12.1.1 Introduction to Arithmetic Series 12.1.2 More Arithmetic Series 12.1.3 General Arithmetic Series 12.1.4 Summation Notation and Combinations of Series Section 12.2 12.2.1 Mathematical Induction Section 12.3 12.3.1 Geometric Series 12.3.2 Infinite Series Section 12.4 12.4.1 Pascal’s Triangle and the Binomial Theorem 12.4.2 Applying the Binomial Theorem Section 12.5 12.5.1 The Number e 12.5.2 Calculating e and Using Natural Logarithms Closure 12.CL Chapter Closure

Chapter 13: Analytic Trigonometry
 Chapter 13.1 13.1.1 Evaluating Trigonometric Equations 13.1.2 Solutions to Trigonometric Equations 13.1.3 Inverses of Trigonometric Functions 13.1.4 Reciprocal Trigonometric Functions Section 13.2 13.2.1 Trigonometric Identities 13.2.2 Proving Trigonometric Identities 13.2.3 Angle Sum and Difference Identities Closure 13.CL Chapter Closure

Checkpoint Materials:
 Checkpoint 1: Using the Slope-Intercept Form of a Line to Solve a System of Equations Checkpoint 2: Solving Systems of Linear Equations in Two Variables Checkpoint 3: Multiplying Polynomials Checkpoint 4: Simplifying Expressions with Positive Exponents Checkpoint 5: Factoring Quadratic Expressions Checkpoint 6: Writing the Equation of a Line Given Two Points Checkpoint 7: Finding the x- and y-intercepts of a Quadratic Function Checkpoint 8: Finding the Slope of a Line through Two Points and the Distance Between the Points Checkpoint 9: Using Function Notation and Identifying the Domain and Range Checkpoint 10: Solving for One Variable in an Equation with Two or More Variables Checkpoint 11: Integral and Rational Exponents Checkpoint 12: Graphing Linear Inequalities Checkpoint 13: Solving Rational Equations Checkpoint 14: Completing the Square and Finding the Vertex for a Parabola Checkpoint 15: Writing and Solving Exponential Equations Checkpoint 16: Solving Absolute Value Equations and Inequalities Checkpoint 17: Finding an Equation for the Inverse of a Function Checkpoint 18: Solving a System of Equations in Three Variables

Glossary
Index

RESOURCE PAGES

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Chapter 1: Investigations and Functions
Chapter 2: Sequences and Equivalence
Chapter 3: Exponential Functions
Chapter 4: Transformations of Parent Graphs
Chapter 5: Solving and Intersections
Chapter 6: Inverses and Logarithms
Chapter 7: 3-D Graphing and Logarithms
Chapter 8: Trigonometric Functions
Chapter 9: Polynomial Functions
Chapter 10: Probability and Counting
Chapter 11: Conic Sections
Chapter 12: Series
Chapter 13: Analytic Trigonometry

PARENT GUIDE W/ EXTRA PRACTICE

Welcome to the Algebra 2 Connections Parent Guide with Extra Practice. The purpose of this guide is to assist you should your child need help with homework or the ideas in the course. We believe all students can be successful in mathematics as long as they are willing to work and ask for help when they need it. We encourage you to contact your child’s teacher if your student has additional questions that this guide or other resources do not answer.   Read More...

ETOOLS/VIDEOS

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General eTools
Chapter 1: Investigations and Functions
Chapter 2: Sequences and Equivalence
Chapter 3: Exponential Functions
Chapter 4: Transformations of Parent Graphs
Chapter 5: Solving and Intersections
Chapter 6: Inverses and Logarithms
Chapter 7: 3-D Graphing and Logarithms
Chapter 8: Trigonometric Functions
Chapter 9: Polynomial Functions
Chapter 10: Probability and Counting
Chapter 11: Conic Sections
Chapter 12: Series
Chapter 13: Analytic Trigonometry
Lesson Video
• Lesson 8.1.1: 7-1 Blood Drip Lab Preparation

SUPPORT MATERIALS

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