Core Connections Integrated III Book Cover

Core Connections Integrated III Book Cover

Core Connections Integrated III

Additional Textbook Resources


TABLE OF CONTENTS

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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.

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Parent Guide by Chapter

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: Polynomials
Chapter 9: Trigonometric Functions
Chapter 10: Series
Chapter 11: Rational Expressions and More Systems
Chapter 12: Analytic Trigonometry

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

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

GUÍA PARA PADRES CON PRÁCTICA ADICIONAL

Bienvenidos a la Guía para padres con práctica adicional de Core Connections en español, Matemática Integrada III. El objeto de la presente guía es brindarles ayuda si su hijo o hija necesita ayuda con las tareas o con los conceptos que se enseñan en el curso. Consideramos que a todos los alumnos les puede ir bien en matemática, siempre que estén dispuestos a trabajar y a pedir ayuda cuando la necesitan. Les recomendamos que hablen con el docente de su hijo o hija si ellos tienen preguntas adicionales que no se responden en esta guía.

Guía para padres con práctica adicional por capítulo: