Core Connections Integrated III Book Cover

Core Connections Integrated III

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Chapter 1: Investigations and Functions
 Opening 1.OP Chapter Opening Section 1.1 1.1.1 Solving a Function Puzzle in Teams 1.1.2 Using a Graphing Calculator to Explore a Function 1.1.3 Function Investigation 1.1.4 Combining Linear Functions Section 1.2 1.2.1 Representing Points of Intersection 1.2.2 Modeling a Geometric Relationship 1.2.3 Describing Data Closure 1.CL Chapter Closure

Chapter 2: Transformations of Parent Graphs
 Opening 2.OP Chapter Opening Section 2.1 2.1.1 Transforming Quadratic Functions 2.1.2 Modeling with Parabolas Section 2.2 2.2.1 Transforming Other Parent Graphs 2.2.2 Describing (h,k) for Each Family of Functions 2.2.3 Transformations of Functions 2.2.4 Transforming Non-Functions 2.2.5 Developing a Mathematical Model Section 2.3 2.3.1 Completing the Square Closure 2.CL Chapter Closure

Chapter 3: Solving and Inequalities
 Opening 3.OP Chapter Opening Section 3.1 3.1.1 Strategies for Solving Equations 3.1.2 Solving Equations Graphically 3.1.3 Multiple Solutions to Systems of Equations 3.1.4 Using Systems of Equations to Solve Problems Section 3.2 3.2.1 Solving Inequalities with One or Two Variables 3.2.2 Using Systems to Solve a Problem 3.2.3 Applications of Systems of Inequalities 3.2.4 Using Graphs to Determine Solutions Closure 3.CL Chapter Closure

Chapter 4: Normal Distributions and Geometric Modeling
 Opening 4.OP Chapter Opening Section 4.1 4.1.1 Survey Design 4.1.2 Samples and the Role of Randomness 4.1.3 Bias in Convenience Samples Section 4.2 4.2.1 Testing Cause and Effect with Experiments 4.2.2 Conclusions from Studies Section 4.3 4.3.1 Relative Frequency Histograms 4.3.2 The Normal Probability Density Function 4.3.3 Percentiles Section 4.4 4.4.1 Cross-Sections and Solids of a Revolution 4.4.2 Modeling with Geometric Solids 4.4.3 Designing to Meet Constraints Closure 4.CL Chapter Closure

Chapter 5: Inverses and Logarithms
 Opening 5.OP Chapter Opening Section 5.1 5.1.1 “Undo” Equations 5.1.2 Using a Graph to Find an Inverse 5.1.3 More Inverse Functions Section 5.2 5.2.1 The Inverse of an Exponential Function 5.2.2 Defining the Inverse of an Exponential Function 5.2.3 Investigating the Family of Logarithmic Functions 5.2.4 Transformations of Logarithmic Functions Closure 5.CL Chapter Closure

Chapter 6: Simulating Sampling Variability
 Opening 6.OP Chapter Opening Section 6.1 6.1.1 Simulations of Probability 6.1.2 More Simulations of Probability 6.1.3 Simulating Sampling Variability Section 6.2 6.2.1 Statistical Test Using Sampling Variability 6.2.2 Variability in Experimental Results 6.2.3 Quality Control 6.2.4 Statistical Process Control Section 6.3 6.3.1 Analyzing Decisions and Strategies Closure 6.CL Chapter Closure

Chapter 7: Logarithms and Triangles
 Opening 7.OP Chapter Opening Section 7.1 7.1.1 Using Logarithms to Solve Exponential Equations 7.1.2 Investigating the Properties of Logarithms 7.1.3 Writing Equations of Exponential Functions 7.1.4 An Application of Logarithms Section 7.2 7.2.1 Determining Missing Parts of Triangles 7.2.2 Law of Sines 7.2.3 Law of Cosines 7.2.4 The Ambiguous Case 7.2.5 Choosing a Tool Closure 7.CL Chapter Closure

Chapter 8: Polynomials
 Opening 8.OP Chapter Opening Section 8.1 8.1.1 Sketching Graphs of Polynomial Functions 8.1.2 More Graphs of Polynomials 8.1.3 Stretch Factors for Polynomials Functions Section 8.2 8.2.1 Writing Equations Using Complex Roots 8.2.2 More Real and Complex Roots Section 8.3 8.3.1 Polynomial Division 8.3.2 Factors and Rational Zeros 8.3.3 An Application of Polynomials 8.3.4 Special Cases of Factoring Closure 8.CL Chapter Closure

Chapter 9: Trigonometric Functions
 Opening 9.OP Chapter Opening Section 9.1 9.1.1 Introduction to Periodic Models 9.1.2 Graphing the Sine Function 9.1.3 Unit Circle ↔ Graph 9.1.4 Graphing and Interpreting the Cosine Function 9.1.5 Defining a Radian 9.1.6 Building a Unit Circle 9.1.7 The Tangent Function Section 9.2 9.2.1 Transformations of y = sin(x) 9.2.2 One More Parameter for a Periodic Function 9.2.3 Period of a Trigonometric Function 9.2.4 Graph ↔ Equation Closure 9.CL Chapter Closure

Chapter 10: Series
 Opening 10.OP Chapter Opening Section 10.1 10.1.1 Introduction to Arithmetic Series 10.1.2 More Arithmetic Series 10.1.3 General Arithmetic Series 10.1.4 Summation Notation and Combinations of Series 10.1.5 Mathematical Induction Section 10.2 10.2.1 Geometric Series 10.2.2 Infinite Series Section 10.3 10.3.1 Using a Binomial Probability Model 10.3.2 Pascal’s Triangle and the Binomial Theorem 10.3.3 The Number e Closure 10.CL Chapter Closure

Chapter 11: Rational Expressions and Three-Variable Systems
 Opening 11.OP Chapter Opening Section 11.1 11.1.1 Simplifying Rational Expressions 11.1.2 Multiplying and Dividing Rational Expressions 11.1.3 Adding and Subtracting Rational Expressions 11.1.4 Operations with Rational Expressions Section 11.2 11.2.1 Creating a Three-Dimensional Model 11.2.2 Graphing Equations in Three Dimensions 11.2.3 Solving Systems of Three Equations with Three Variables 11.2.4 Using Systems of Three Equations for Curve Fitting Closure 11.CL Chapter Closure

Chapter 12: Analytic Trigonometry
 Opening 12.OP Chapter Opening Section 12.1 12.1.1 Analyzing Trigonometric Equations 12.1.2 Solutions to Trigonometric Equations 12.1.3 Inverses of Trigonometric Functions 12.1.4 Reciprocal Trigonometric Functions Section 12.2 12.2.1 Trigonometric Identities 12.2.2 Proving Trigonometric Identities 12.2.3 Angle Sum and Difference Identities Closure 12.CL Chapter Closure

Checkpoint Materials
 CP 2: Solving Quadratic Equations CP 3: Function Notation and Describing a Function CP 4: Expressions with Integer and Rational Exponents CP 5: Transformations of Functions CP 6: Solving Complicated Equations and Systems CP 7: Solving and Graphing Inequalities CP 8: Determining the Equation for the Inverse of a Function CP 9A: Solving Equations with Exponents CP 9B: Rewriting Expressions and Solving Equations with Logarithms CP 10: Solving Triangles CP 11: Roots and Graphs of Polynomial Functions CP 12: Periodic Functions

Glossary
Index

RESOURCE PAGES

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Chapter 1: Investigations and Functions
Chapter 2: Transformations of Parent Graphs
Chapter 3: Solving and Inequalities
Chapter 4: Normal Distributions and Geometric Modeling
Chapter 5: Inverses and Logarithms
Chapter 6: Simulating Sampling Variability
Chapter 7: Logarithms and Triangles
Chapter 8: Trigonometric Functions
Chapter 9: Polynomials
Chapter 10: Series
Chapter 11: Rational Expressions and More Systems
Chapter 12: Analytic Trigonometry

PARENT GUIDE W/ EXTRA PRACTICE

Sometimes students want an alternative explanation of an idea along with additional practice problems. The Parent Guide resources are arranged by chapter and topic. The format of these resources is a brief restatement of the idea, some typical examples, practice problems, and the answers to those problems.

The Parent Guide is available as a printed copy for purchase at the CPM Web Store or accessible free below.

ETOOLS/VIDEOS

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General eTools
Chapter 1: Investigations and Functions
Chapter 2: Transformations of Parent Graphs
Chapter 3: Solving and Inequalities
Chapter 4: Normal Distributions and Geometric Modeling
Chapter 5: Inverses and Logarithms
Chapter 6: Simulating Sampling Variability
Chapter 7: Logarithms and Triangles
Chapter 8: Trigonometric Functions
Chapter 9: Polynomials
Chapter 10: Series
Chapter 11: Rational Expressions and More Systems
Chapter 12: Analytic Trigonometry
Lesson Videos

PÁGINAS DE RECURSOS

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Capítulo 1: Investigaciones y funciones
Capítulo 2: Transformación de gráficos madre
Capítulo 3: Resolución de problemas y desigualdades
Capítulo 4: Distribuciones normales y modelado geométrico
Capítulo 5: Inversas y logaritmos
Capítulo 6: Simulación de la variabilidad muestral
Capítulo 7: Logaritmos y triángulos
Capítulo 8: Polinomios
Capítulo 9: Funciones trigonométricas
Capítulo 10: Series
Capítulo 11: Expresiones racionales y sistemas de tres variables
Capítulo 12: Trigonometría analítica