Core Connections Integrated I

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1: Functions

1.1: Section 1.1

1.1.1: Solving Puzzles in Teams

Function Machines 3 (Functions and Problem Solving)

1.1.2: Investigating the Growth of Patterns

Direct and Inverse Variation
Exponential Growth and Decay
Fido's Flower Bed (Perimeter and Area)
Finding Patterns

1.1.3: Multiple Representations of Functions

Direct and Inverse Variation
Exponential Growth and Decay

1.2: Section 1.2

1.2.1: Function Machines

Function Machines 2 (Functions, Tables, and Graphs)

1.2.2: Functions

Introduction to Functions
Linear Functions

1.2.3: Domain and Range

Introduction to Functions
Radical Functions
Rational Functions

1.3: Section 1.3

1.3.1: Rewriting Expressions with Exponents

Dividing Exponential Expressions
Exponents and Power Rules

1.3.2: Zero and Negative Exponents

Dividing Exponential Expressions
Exponents and Power Rules
Multiplying Exponential Expressions

2: Linear Functions

2.1: Section 2.1

2.1.1: Seeing Growth in Linear Functions

Finding Patterns

2.1.2: Comparing Change in y and Change in x

Slope

2.1.3: Slope

Slope

2.1.4: y = mx + b and More on Slope

Slope-Intercept Form of a Line

2.2: Section 2.2

2.2.1: Modeling Linear Functions

Distance-Time Graphs

2.2.2: Rate of Change

Cat and Mouse (Modeling with Linear Systems)
Distance-Time Graphs

2.2.3: Equations of Lines in a Situation

Cat and Mouse (Modeling with Linear Systems)
Distance-Time Graphs

2.2.4: Dimensional Analysis

Unit Conversions

2.3: Section 2.3

2.3.1: Writing the Equation of a Line Given the Slope and a Point

Point-Slope Form of a Line

2.3.2: Writing the Equation of a Line Through Two Points

Points, Lines, and Equations

2.3.3: Writing y = mx + b from Graphs and Tables

Slope-Intercept Form of a Line

3: Transformations and Solving

3.1: Section 3.1

3.1.1: Spatial Visualization and Reflections

Reflections
Rotations, Reflections, and Translations

3.1.2: Rotations and Translations

Rotations, Reflections, and Translations
Translations

3.1.3: Slopes of Parallel and Perpendicular Lines

Rotations, Reflections, and Translations
Solving Linear Systems (Matrices and Special Solutions)

3.1.4: Defining Rigid Transformations

Rotations, Reflections, and Translations
Translations

3.1.5: Using Transformations to Create Polygons

Reflections
Rotations, Reflections, and Translations
Translations

3.1.6: Symmetry

Holiday Snowflake Designer
Quilting Bee (Symmetry)

3.2: Section 3.2

3.2.1: Modeling Area and Perimeter with Algebra Tiles

Modeling the Factorization of ax2+bx+c
Modeling the Factorization of x2+bx+c

3.2.2: Exploring an Area Model

Modeling the Factorization of ax2+bx+c
Modeling the Factorization of x2+bx+c

3.3: Section 3.3

3.3.1: Multiple Methods for Solving Equations

Solving Algebraic Equations II

4: Modeling Two-Variable Data

4.1: Section 4.1

4.1.1: Line of Best Fit

Solving Using Trend Lines

4.1.2: Residuals

Least-Squares Best Fit Lines

4.1.4: Least Squares Regression Line

Correlation
Least-Squares Best Fit Lines

4.2: Section 4.2

4.2.1: Residual Plots

Correlation
Least-Squares Best Fit Lines

4.2.2: Correlation

Correlation

4.2.3: Association is Not Causation

Correlation

4.2.4: Interpreting Correlation in Context

Correlation

5: Sequences

5.1: Section 5.1

5.1.1: Representing Exponential Growth

Exponential Growth and Decay

5.1.3: The Bouncing Ball and Exponential Decay

Exponential Growth and Decay

5.2: Section 5.2

5.2.1: Generating and Investigating Sequences

Arithmetic Sequences
Arithmetic and Geometric Sequences
Geometric Sequences

5.2.2: Generalizing Arithmetic Sequences

Arithmetic Sequences
Arithmetic and Geometric Sequences

5.2.3: Recursive Sequences

Arithmetic Sequences
Geometric Sequences

5.3: Section 5.3

5.3.1: Comparing Growth in Tables and Graphs

Arithmetic Sequences
Arithmetic and Geometric Sequences
Geometric Sequences

5.3.2: Using Multiplers to Solve Problems

Arithmetic and Geometric Sequences
Geometric Sequences

5.3.3: Comparing Sequences to Functions

Arithmetic Sequences
Arithmetic and Geometric Sequences
Geometric Sequences

6: Systems of Equations

6.1: Section 6.1

6.1.1: Working with Multi-Variable Equations

Solving Formulas for any Variable
Standard Form of a Line

6.1.2: Summary of Solving Equations

Solving Formulas for any Variable

6.1.4: Solving Word Problems by Writing Equations

Using Algebraic Equations

6.2: Section 6.2

6.2.1: Solving Systems of Equations Using the Equal Values Method

Solving Linear Systems (Slope-Intercept Form)

6.2.2: Solving Systems of Equations Using Substitution

Solving Linear Systems (Slope-Intercept Form)
Solving Linear Systems (Standard Form)

6.2.3: Making Connections: Systems and Multiple Representations

Solving Linear Systems (Slope-Intercept Form)
Solving Linear Systems (Standard Form)

6.3: Section 6.3

6.3.1: Solving Systems Using Elimination

Solving Linear Systems (Standard Form)

6.3.2: More Elimination

Solving Linear Systems (Standard Form)

6.3.3: Making Connections: Systems, Solutions, and Graphs

Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Standard Form)

6.4: Section 6.4

6.4.1: Choosing a Strategy for Solving a System

Solving Linear Systems (Standard Form)

7: Congruence and Coordinate Geometry

7.1: Section 7.1

7.1.1: Defining Congruence

Proving Triangles Congruent

7.1.2: Conditions for Triangle Congruence

Proving Triangles Congruent

7.1.5: More Conditions for Triangle Congruence

Proving Triangles Congruent

7.1.6: Congruence of Triangles Through Rigid Transformations

Reflections
Rotations, Reflections, and Translations
Translations

8: Exponential Functions

8.1: Section 8.1

8.1.1: Investigating y = b^x

Introduction to Exponential Functions

8.1.2: Multiple Representations of Exponential Functions

Introduction to Exponential Functions

8.1.3: More Applications of Exponential Functions

Compound Interest

8.1.4: Exponential Decay

Exponential Growth and Decay

8.1.5: Graph ---> Equation

Introduction to Exponential Functions

8.1.6: Completing the Multiple Representations Web

Exponential Growth and Decay
Introduction to Exponential Functions

9: Inequalities

9.1: Section 9.1

9.1.1: Solving Linear, One-Variable Inequalities

Compound Inequalities
Exploring Linear Inequalities in One Variable
Solving Linear Inequalities in One Variable

9.1.2: More Solving Inequalities

Exploring Linear Inequalities in One Variable
Solving Linear Inequalities in One Variable

9.1.3: Solving Absolute Value Equations and Inequalities

Absolute Value Equations and Inequalities

9.2: Section 9.2

9.2.1: Graphing Two-Variable Inequalities

Linear Inequalities in Two Variables

9.3: Section 9.3

9.3.1: Systems of Inequalities

Linear Programming
Systems of Linear Inequalities (Slope-intercept form)

9.3.2: More Systems of Inequalities

Systems of Linear Inequalities (Slope-intercept form)

10: Functions and Data

10.1: Section 10.1

10.1.2: Investigating Data Representations

Box-and-Whisker Plots
Graphing Skills
Reaction Time 2 (Graphs and Statistics)

10.1.3: Comparing Data

Box-and-Whisker Plots

10.1.4: Standard Deviation

Real-Time Histogram
Sight vs. Sound Reactions

10.2: Section 10.2

10.2.1: Transforming Functions

Exponential Functions
Introduction to Exponential Functions
Slope-Intercept Form of a Line

10.2.2: Arithmetic Operations with Functions

Addition and Subtraction of Functions

10.2.3: Proving Linear and Exponential Growth Patterns

Arithmetic and Geometric Sequences
Introduction to Exponential Functions
Slope-Intercept Form of a Line

11: Constructions and Closure

11.1: Section 11.1

11.1.1: Introduction to Constructions

Constructing Congruent Segments and Angles
Constructing Parallel and Perpendicular Lines

11.1.2: Constructing Bisectors

Constructing Parallel and Perpendicular Lines

11.1.3: More Explorations with Constructions

Constructing Parallel and Perpendicular Lines

11.2: Section 11.2

11.2.3: Using a Best-Fit Line to Make a Prediction

Solving Using Trend Lines
Trends in Scatter Plots

Content correlation last revised: 11/24/2020