Core Connections Algebra Book Cover

Core Connections Algebra Book Cover

Core Connections Algebra

Additional Textbook Resources


TABLE OF CONTENTS

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Chapter 1: Functions
Opening 1.OP Chapter Opening
Section 1.1 1.1.1 Solving Puzzles in Teams
1.1.2 Investigating the Growth of Patterns
1.1.3 Investigating the Graphs of Quadratic Functions
Section 1.2 1.2.1 Describing a Graph
1.2.2 Cube Root and Absolute Value Functions
1.2.3 Function Machines
1.2.4 Functions
1.2.5 Domain and Range
 Closure 1.CL Chapter Closure

Chapter 2: Linear Relationships
Opening 2.OP Chapter Opening
Section 2.1 2.1.1 Seeing Growth in Linear Representations
2.1.2 Slope
2.1.3 Comparing △y and △x
2.1.4 y = mx + b and More on Slope
Section 2.2 2.2.1 Slope as Motion
2.2.2 Rate of Change
2.2.3 Equations of Lines in Situations
Section 2.3 2.3.1 Finding an Equation Given a Slope and a Point
2.3.2 Finding the Equation of a Line through Two Points
Ex Act Finding y = mx + b from Graphs and Tables
 Closure 2.CL Chapter Closure

Chapter 3: Simplifying and Solving
Opening 3.OP Chapter Opening
Section 3.1 3.1.1 Simplifying Exponential Expressions
3.1.2 Zero and Negative Exponents
 Section 3.2 3.2.1 Equations ↔ Algebra Tiles
3.2.2 Exploring an Area Model
3.2.3 Multiplying Binomals and the Distributive Property
3.2.4 Using Generic Rectangles to Multiply
 Section 3.3 3.3.1 Solving Equations With Multiplication and Absolute Value
3.3.2 Working With Multi-Variable Equations
3.3.3 Summary of Solving Equations
 Closure 3.CL Chapter Closure

Chapter 4: Systems and Equations
Opening 4.OP Chapter Opening
Section 4.1 4.1.1 Solving Word Problems by Writing Equations
4.1.2 One Equation or Two?
Section 4.2 4.2.1 Solving Systems of Equations Using Substitution
4.2.2 Making Connections: Systems, Solutions, and Graphs
4.2.3 Solving Systems Using Elimination
4.2.4 More Elimination
4.2.5 Choosing a Strategy for Solving Systems
Section 4.3 4.3.1 Pulling it all Together
 Closure 4.CL Chapter Closure

Chapter 5: Sequences
Opening 5.OP Chapter Opening
Section 5.1 5.1.1 Representing Exponential Growth
5.1.2 Rebound Ratios
5.1.3 The Bouncing Ball and Exponential Decay
Section 5.2 5.2.1 Generating and Investigating Sequences
5.2.2 Generalizing Arithmetic Sequences
5.2.3 Recursive Sequences
Section 5.3 5.3.1 Patterns of Growth in Tables and Graphs
5.3.2 Using Multipliers to Solve Problems
5.3.3 Comparing Sequences to Functions
 Closure 5.CL Chapter Closure

Chapter 6: Modeling Two-Variable Data
Opening 6.OP Chapter Opening
Section 6.1 6.1.1 Line of Best Fit
6.1.2 Residuals
6.1.3 Upper and Lower Bounds
6.1.4 Least Squares Regression Line
 Section 6.2 6.2.1 Residual Plots
6.2.2 Correlation
6.2.3 Association is Not Causation
6.2.4 Interpreting Correlation in Context
6.2.5 Curved Best-Fit Models
 Closure 6.CL Chapter Closure

Chapter 7: Exponential Functions
Opening 7.OP Chapter Opening
Section 7.1 7.1.1 Investigating y = bx
7.1.2 Multiple Represntations of Exponential Functions
7.1.3 More Applications of Exponential Growth
7.1.4 Exponential Decay
7.1.5 Graph → Equation
7.1.6 Completing the Multiple Representation Web
Section 7.2 7.2.1 Curve Fitting and Fractional Exponents
7.2.2 More Curve Fitting
7.2.3 Solving a System of Exponential Functions Graphically
 Closure 7.CL Chapter Closure

Chapter 8: Quadratic Functions
Opening 8.OP Chapter Opening
Section 8.1 8.1.1 Introduction to Factoring Quadratics
8.1.2 Factoring with Genetic Rectangles
8.1.3 Factoring with Special Cases
8.1.4 Factoring Completely
8.1.5 Factoring Shortcuts
Section 8.2 8.2.1 Multiple Representation for Quadratics
8.2.2 Zero Product Property
8.2.3 More Ways to Find the x-Intercepts
8.2.4 Completing the Quadratic Web
8.2.5 Completing the Square
 Closure 8.CL Chapter Closure

Chapter 9: Solving Quadratic and Inequalities
Opening 9.OP Chapter Opening
Section 9.1 9.1.1 Solving Quadratic Equations
9.1.2 Introduction to the Quadratic Formula
9.1.3 More Solving Quadratic Equations
9.1.4 Choosing a Strategy
Section 9.2 9.2.1 Solving Linear, One-Variable Inequalities
9.2.2 More Solving Inequalities
Section 9.3 9.3.1 Graphing Two-Variable Inequalities
9.3.2 Graphing Linear and Non-Linear Inequalities
Section 9.4 9.4.1 Systems of Inequalities
9.4.2 More Systems of Inequalities
9.4.3 Applying Inequalities to Solve Problems
Closure 9.CL Chapter Closure

Chapter 10: Solving Complex Equations
Opening 10.OP Chapter Opening
Section 10.1 10.1.1 Association in Two-Way Tables
Section 10.2 10.2.1 Solving by Rewriting
10.2.2 Fraction Busters
10.2.3 Multiple Methods for Solving Equations
10.2.4 Determining the Number of Solutions
10.2.5 Deriving the Quadratic Formula and the Number System
10.2.6 More Solving and an Application
Section 10.3 10.3.1 Intersection of Two Functions
10.3.2 Number of Parabola Intersections
10.3.3 Solving Quadratic and Absolute Value Inequalities
Closure 10.CL Chapter Closure

Chapter 11: Functions and Data
Opening 11.OP Chapter Opening
Section 11.1 11.1.1 Transforming Functions
11.1.2 Inverse Functions
Section 11.2 11.2.1 Investigating Data Representations
11.2.2 Comparing Data
11.2.3 Standard Deviation
Section 11.3 11.3.1 Using a Best-Fit Line to Make a Prediction
11.3.2 Relation Treasure Hunt
11.3.3 Investigating a Complex Function
11.3.4 Using Algebra to Find a Maximum
11.3.5 Exponential Functions and Linear Inequalities
Closure 11.CL Chapter Closure

Appendix A: Representing Expressions
Opening A.OP Chapter Opening
Section A.1 A.1.1 Exploring Variables and Combining Like Terms
A.1.2 Simplifying Expressions by Combining Like Terms
A.1.3 Writing Algebraic Expressions
A.1.4 Using Zero to Simplify Algebraic Expressions
A.1.5 Using Algebra Tiles to Simplify Algebraic Expressions
A.1.6 Using Algebra Tiles to Compare Expressions
A.1.7 Simplifying and Recording Work
A.1.8 Using Algebra Tiles to Solve for x
A.1.9 More Solving Equations
Closure A.CL Chapter Closure

Checkpoint Materials
CP 1: Solving Linear Equations, Part 1 (Integer Coefficients)
CP 2: Evaluating Expressions and the Order of Operations
CP 3: Operations with Rational Numbers
CP 4: Solving Linear Equations, Part 2 (Fractional Coeffcients)
CP 5A: Laws of Exponents and Scientific Notation
CP 5B: Writing the Equation of a line
CP 6A: Rewriting Equations with More Than One Variable
CP 6B: Multiplying Polynomials and Solving Equations with Parentheses
CP 7A: Solving Problems by Writing Equations
CP 7B: Solving Linear Systems of Equations
CP 8: Interpreting Associations
CP 9: Writing Exponential Equations from Situations
CP 10A: The Exponential Web
CP 10B: Factoring Polynomials
CP 11: The Quadratic Web

Glossary

Index

 
 

RESOURCE PAGES

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Chapter 1: Functions
Chapter 2: Linear Relationships
Chapter 3: Simplifying and Solving
Chapter 4: Systems of Equations
Chapter 5: Sequences
Chapter 6: Modeling Two-Variable Data
Chapter 7: Exponential Functions
Chapter 8: Quadratic Functions
Chapter 9: Solving Quadratics and Inequalities
Chapter 10: Solving Complex Equations
Chapter 11: Functions and Data
Appendix A: Representing Expressions

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 Guides by Chapter

Chapter 1: Functions
Chapter 2: Linear Relationships
Chapter 3: Simplifying and Solving
Chapter 4: Systems of Equations
Chapter 5: Sequences
Chapter 6: Modeling Two-Variable Data
Chapter 7: Exponential Functions
Chapter 8: Quadratic Functions
Chapter 9: Solving Quadratics and Inequalities
Chapter 10: Solving Complex Equations
Chapter 11: Functions and Data
Appendix A: Representing Expressions

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General eTools
Chapter 1: Functions
Chapter 2: Linear Relationships
Chapter 3: Simplifying and Solving
Chapter 4: Systems of Equations
Chapter 5: Sequences
Chapter 6: Modeling Two-Variable Data
Chapter 7: Exponential Functions
Chapter 8: Quadratic Functions
Chapter 9: Solving Quadratics and Inequalities
Chapter 10: Solving Complex Equations
Chapter 11: Functions and Data
Appendix A: Representing Expressions

PÁGINAS DE RECURSOS

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Capítulo 1: Funciones
Capítulo 2: Relaciones lineales
Capítulo 3: Simplificar y resolver
Capítulo 4: Sistemas de ecuaciones
Capítulo 5: Progresiones
Capítulo 6: Modelos de datos con dos variables
Capítulo 7: Funciones exponenciales
Capítulo 8: Funciones cuadráticas
Capítulo 9: Resolución de ecuaciones cuadráticas y desigualdades
Capítulo 10: Resolución de ecuaciones complejas
Capítulo 11: Funciones y datos
Apéndice A: Representación de expresiones

GUÍA PARA PADRES CON PRÁCTICA ADICIONAL

Bienvenidos a la Guía para padres con práctica adicional de Core Connections en español, Álgebra. 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.

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Guía para padres con práctica adicional por capítulo

Capítulo 1: Funciones
Capítulo 2: Relaciones lineales
Capítulo 3: Simplificar y resolver
Capítulo 4: Sistemas de ecuaciones
Capítulo 5: Progresiones
Capítulo 6: Modelos de datos con dos variables
Capítulo 7: Funciones exponenciales
Capítulo 8: Funciones cuadráticas
Capítulo 9: Resolución de ecuaciones cuadráticas y desigualdades
Capítulo 10: Resolución de ecuaciones complejas
Capítulo 11: Funciones y datos
Apéndice A: Representación de expresiones