Core Connections Integrated I Book Cover

Core Connections Integrated I Book Cover

Core Connections Integrated I

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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 Multiple Representations of Functions
Section 1.2 1.2.1 Function Machines
1.2.2 Functions
1.2.3 Domain and Range
Section 1.3 1.3.1 Rewriting Expressions with Exponents
1.3.2 Zero and Negative Exponents
Closure 1.CL Chapter Closure

Chapter 2: Linear Functions
Opening 2.OP Chapter Opening
Section 2.1 2.1.1 Seeing Growth in Linear Functions
2.1.2 Comparing Δy and Δx
2.1.3 Slope
2.1.4 y = mx + b and More on Slope
Section 2.2 2.2.1 Modeling Linear Functions
2.2.2 Rate of Change
2.2.3 Equations of Lines in a Situation
2.2.4 Dimensional Analysis
Section 2.3 2.3.1 Writing the Equation of a Line Given the Slope and a Point
2.3.2 Writing the Equation of a Line Through Two Points
2.3.3 Writing y = mx + b from Graphs and Tables
Closure 2.CL Chapter Closure

Chapter 3: Transformations and Solving
Opening 3.OP Chapter Opening
Section 3.1 3.1.1 Spatial Visualization and Reflections
3.1.2 Rotations and Translations
3.1.3 Slopes of Parallel and Perpendicular Lines
3.1.4 Defining Rigid Transformations
3.1.5 Using Transformations to Create Polygons
3.1.6 Symmetry
 Section 3.2 3.2.1 Modeling Area and Perimeter with Algebra Tiles
3.2.2 Exploring an Area Model
3.2.3 Multiplying Polynomials and the Distributive Property
 Section 3.3 3.3.1 Multiple Methods for Solving Equations
3.3.2 Fraction Busters
3.3.3 Solving Exponential and Complex Equations
Closure 3.CL Chapter Closure

Chapter 4: Modeling Two-Variable Data
Opening 4.OP Chapter Opening
Section 4.1 4.1.1 Line of Best Fit
4.1.2 Residuals
4.1.3 Upper and Lower Bounds
4.1.4 Least Squares Regression Line
Section 4.2 4.2.1 Residual Plots
4.2.2 Correlation
4.2.3 Association is Not Causation
4.2.4 Interpreting Correlation in Context
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 Comparing 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: Systems of Equations
Opening 6.OP Chapter Opening
Section 6.1 6.1.1 Working with Multi-Variable Equations
6.1.2 Summary of Solving Equations
6.1.3 Solving Word Problems by Using Different Representations
6.1.4 Solving Word Problems by Writing Equations
Section 6.2 6.2.1 Solving Systems of Equations Using the Equal Values Method
6.2.2 Solving Systems of Equations Using Substitution
6.2.3 Making Connections: Systems and Multiple Representations
Section 6.3 6.3.1 Solving Systems Using Elimination
6.3.2 More Elimination
6.3.3 Making Connections: Systems, Solutions, and Graphs
Section 6.4 6.4.1 Choosing a Strategy for Solving a System
6.4.2 Pulling it all Together
Closure 6.CL Chapter Closure

Chapter 7: Congruence and Coordinate Geometry
Opening 7.OP Chapter Opening
Section 7.1 7.1.1 Defining Congruence
7.1.2 Conditions for Triangle Congruence
7.1.3 Creating a Flowchart
7.1.4 Justifying Triangle Congruence Using Flowcharts
7.1.5 More Conditions for Triangle Congruence
7.1.6 Congruence of Triangles Through Rigid Transformations
7.1.7 More Congruence Flowcharts
Section 7.2 7.2.1 Studying Quadrilaterals on a Coordinate Grid
7.2.2 Coordinate Geometry and Midpoints
7.2.3 Identifying Quadrilaterals on a Coordinate Grid
Closure 7.CL Chapter Closure

Chapter 8: Exponential Functions
Opening 8.OP Chapter Opening
Section 8.1 8.1.1 Investigating y = bx
8.1.2 Multiple Representations of Exponential Functions
8.1.3 More Applications of Exponential Functions
8.1.4 Exponential Decay
8.1.5 Graph → Equation
8.1.6 Completing the Multiple Representations Web
Section 8.2 8.2.1 Curve Fitting
8.2.2 Curved Best-Fit Models
8.2.3 Solving a System of Exponential Functions Graphically
Closure 8.CL Chapter Closure

Chapter 9: Inequalities
Opening 9.OP Chapter Opening
Section 9.1 9.1.1 Solving Linear, One-Variable Inequalities
9.1.2 More Solving Inequalities
9.1.3 Solving Absolute Value Equations and Inequalities
Section 9.2 9.2.1 Graphing Two-Variable Inequalities
9.2.2 Graphing Linear and Nonlinear Inequalities
Section 9.3 9.3.1 Systems of Inequalities
9.3.2 More Systems of Inequalities
9.3.3 Applying Inequalities to Solve Problems
Closure 9.CL Chapter Closure

Chapter 10: Functions and Data
Opening 10.OP Chapter Opening
Section 10.1 10.1.1 Association in Two-Way Tables
10.1.2 Investigating Data Representations
10.1.3 Comparing Data
10.1.4 Standard Deviation
Section 10.2 10.2.1 Transforming Functions
10.2.2 Arithmetic Operations with Functions
10.2.3 Proving Linear and Exponential Growth Patterns
Closure 10.CL Chapter Closure

Chapter 11: Constructions and Closure
Opening 11.OP Chapter Opening
Section 11.1 11.1.1 Introduction to Constructions
11.1.2 Constructing Bisectors
11.1.3 More Explorations with Constructions
Section 11.2 11.2.1 Solving Work and Mixing Problems
11.2.2 Solving Equations and Systems Graphically
11.2.3 Using a Best-Fit Line to Make a Prediction
11.2.4 Treasure Hunt
11.2.5 Using Coordinate Geometry and Constructions to Explore Shapes
11.2.6 Modeling with Exponential Functions and Linear Inequalities
Closure 11.CL Chapter Closure

Appendix: Solving Equations
Opening A.OP Chapter Opening
Section A.1 A.1.1 Exploring Variables and Expressions
A.1.2 Using Zero to Simplify Algebraic Expressions
A.1.3 Using Algebra Tiles to Compare Expressions
A.1.4 Justifying and Recording Work
A.1.5 Using Algebra Tiles to Solve for x
A.1.6 More Solving Equations
A.1.7 Checking Solutions
A.1.8 Determining the Number of Solutions
A.1.9 Using Equations to Solve Problems
Closure A.CL Appendix 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: Laws of Exponents and Scientific Notation
CP 5: Writing the Equation of a Line
CP 6A: Solving Linear Equations, Part 2 (Fractional Coefficients)
CP 6B: Multiplying Polynomials and Solving Equations with Parentheses
CP 7: Interpreting Associations
CP 8A: Rewriting Equations with More Than One Variable
CP 8B: Solving Problems by Writing Equations
CP 9: Solving Linear Systems of Equations
CP 10: Determining Congruent Triangles
CP 11: The Exponential Web

Glossary
Index
 
 

RESOURCE PAGES

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Chapter 1: Functions
Chapter 2: Linear Functions
Chapter 3: Transformations and Solving
Chapter 4: Modeling Two-Variable Data
Chapter 5: Sequences
Chapter 6: Systems of Equations
Chapter 7: Congruence and Coordinate Geometry
Chapter 8: Exponential Functions
Chapter 9: Inequalities
Chapter 10: Functions and Data
Chapter 11: Constructions and Closure
Appendix A: Solving Equations

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: Functions
Chapter 2: Linear Relationships
Chapter 3: Transformations and Solving
Chapter 4: Modeling with Two-Variable Data
Chapter 5: Sequences
Chapter 6: Systems of Equations
Chapter 7: Congruence and Coordinate Geometry
Chapter 8: Exponential Functions
Chapter 9: Inequalities
Chapter 10: Functions and Data
Chapter 11: Constructions and Closure
Appendix: Solving Equations

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General eTools
Chapter 1: Functions
Chapter 2: Linear Functions
Chapter 3: Transformations amd Solving
Chapter 4: Modeling Two-Variable Data
Chapter 5: Sequences
Chapter 6: Systems of Equations
Chapter 7: Congruence and Coordinate Geometry
Chapter 8: Exponential Functions
Chapter 9: Inequalities
Chapter 10: Functions and Data
Chapter 11: Constructions and Closure
Appendix: Solving Equations

PÁGINAS DE RECURSOS

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Capítulo 1: Funciones
Capítulo 2: Funciones lineales
Capítulo 3: Transformaciones y soluciones
Capítulo 4: Modelos de datos con dos variables
Capítulo 5: Progresiones
Capítulo 6: Sistemas de ecuaciones
Capítulo 7: Congruencia y geometría en coordenadas
Capítulo 8: Funciones exponenciales
Capítulo 9: Desigualdades
Capítulo 10: Funciones y datos
Capítulo 11: Construcciones y cierre
Apéndice A: Resolución de ecuaciones

GUÍA PARA PADRES CON PRÁCTICA ADICIONAL

Bienvenidos a la Guía para padres con práctica adicional de Core Connections en español, Matemática Integrada I. 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: