Math 8/9
Integrated 1

Functions

1.1.1 Solving Puzzles in Teams

1.1.2 Investigating the Growth of Patterns

1.1.3 Multiple Representations of Functions

1.2.1 Function Machines

1.2.2 Functions

1.2.3 Domain and Range

1.3.1 Rewriting Expressions with Exponents

1.3.2 Zero and Negative Exponents

Linear Functions

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

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

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

Transformations & Solving

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

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

3.3.1 Multiple Methods for Solving Equations

3.3.2 Fraction Busters

3.3.3 Solving Exponential and Complex Equations

Modeling Two-Variable Data

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

4.2.1 Residual Plots

4.2.2 Correlation

4.2.3 Association is Not Causation

4.2.4 Interpreting Correlation in Context

Sequences

5.1.1 Representing Exponential Growth

5.1.2 Rebound Ratios

5.1.3 The Bouncing Ball and Exponential Decay

5.2.1 Generating and Investigating Sequences

5.2.2 Generalizing Arithmetic Sequences

5.2.3 Recursive Sequences

5.3.1 Comparing Growth in Tables and Graphs

5.3.2 Using Multipliers to Solve Problems

5.3.3 Comparing Sequences to Functions

Systems of Equations

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

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

6.3.1 Solving Systems Using Elimination

6.3.2 More Elimination

6.3.3 Making Connections: Systems, Solutions, and Graphs

6.4.1 Choosing a Strategy for Solving a System

6.4.2 Pulling it all Together

Congruence and Coordinate Geometry

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

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

Exponential & Functions

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

8.2.1 Curve Fitting

8.2.2 Curved Best-Fit Models

8.2.3 Solving a System of Exponential Functions Graphically

Inequalities

9.1.1 Solving Linear, One-Variable Inequalities

9.1.2 More Solving Inequalities

9.1.3 Solving Absolute Value Equations and Inequalities

9.2.1 Graphing Two-Variable Inequalities

9.2.2 Graphing Linear and Nonlinear Inequalities

9.3.1 Systems of Inequalities

9.3.2 More Systems of Inequalities

9.3.3 Applying Inequalities to Solve Problems

Functions & Data

10.1.1 Association in Two-Way Tables

10.1.2 Investigating Data Representations

10.1.3 Comparing Data

10.1.4 Standard Deviation

10.2.1 Transforming Functions

10.2.2 Arithmetic Operations with Functions

10.2.3 Proving Linear and Exponential Growth Patterns

Constructions & Closure

11.1.1 Introduction to Constructions

11.1.2 Constructing Bisectors

11.1.3 More Explorations with Constructions

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