Skill plan for CPM Core Connections - Integrated I
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1
Chapter 1
Functions
Section 1.1
1.1.1:  How can I work with my team to figure it out? Solving Puzzles in Teams
Absolute value
Square roots
Order of operations
Variable expressions
1.1.1:  How can I work with my team to figure it out? Solving Puzzles in Teams
Absolute value
Square roots
Order of operations
Variable expressions
1.1.2:  How does it grow? Investigating the Growth of Patterns
1.1.2:  How does it grow? Investigating the Growth of Patterns
1.1.3:  How can I describe a graph? Multiple Representations of Functions
Cube roots
Families of functions
1.1.3:  How can I describe a graph? Multiple Representations of Functions
Cube roots
Families of functions
Section 1.2
1.2.1:  What is the function? Function Machines
Evaluate functions
Function tables and graphs
Angle relationships
1.2.1:  What is the function? Function Machines
Evaluate functions
Function tables and graphs
Angle relationships
1.2.2:  Can I predict the output? Functions
1.2.2:  Can I predict the output? Functions
1.2.3:  What can go in? What can come out? Domain and range
Independent and dependent variables
Domain and range
1.2.3:  What can go in? What can come out? Domain and range
Independent and dependent variables
Domain and range
Section 1.3
1.3.1:  How can I rewrite it? Rewriting Expressions with Exponents
1.3.1:  How can I rewrite it? Rewriting Expressions with Exponents
1.3.2:  How can I rewrite it? Zero and Negative Exponents
Laws of exponents
Numerical expressions with exponents
Variable expressions with exponents
1.3.2:  How can I rewrite it? Zero and Negative Exponents
Laws of exponents
Numerical expressions with exponents
Variable expressions with exponents
2
Chapter 2
Linear Functions
Section 2.1
2.1.1:  How does it grow? Seeing Growth in Linear Functions
2.1.1:  How does it grow? Seeing Growth in Linear Functions
2.1.2:  How can I measure steepness? Comparing ∆x and ∆y
2.1.2:  How can I measure steepness? Comparing ∆x and ∆y
2.1.3:  How steep is it? Slope
2.1.3:  How steep is it? Slope
2.1.4:  What information determines a line? y = mx + b and More on Slope
2.1.4:  What information determines a line? y = mx + b and More on Slope
Section 2.2
2.2.1:  What is the equation of the line? Modeling Linear Functions
2.2.1:  What is the equation of the line? Modeling Linear Functions
2.2.2:  What can rate of change represent? Rate of Change
Interpret slope
Slope-intercept form
2.2.2:  What can rate of change represent? Rate of Change
Interpret slope
Slope-intercept form
2.2.3:  How can I use y = mx + b? Equations of Lines in a Situation
Slope-intercept form
Standard form
2.2.3:  How can I use y = mx + b? Equations of Lines in a Situation
Slope-intercept form
Standard form
2.2.4:  How can I convert rates? Dimensional Analysis
2.2.4:  How can I convert rates? Dimensional Analysis
Section 2.3
2.3.1:  How can I use slope and a point to write an equation? Writing the Equation of a Line Given the Slope and a Point
2.3.1:  How can I use slope and a point to write an equation? Writing the Equation of a Line Given the Slope and a Point
2.3.2:  What is the equation of a line? Writing the equation of a Line Through Two Points
2.3.2:  What is the equation of a line? Writing the equation of a Line Through Two Points
2.3.3:  What is the equation of the line? Writing y = mx + b from Graphs and Tables
2.3.3:  What is the equation of the line? Writing y = mx + b from Graphs and Tables
3
Chapter 3
Transformations and Solving
Section 3.1
3.1.1:  How can I see it? Spatial Visualization and Reflections
3.1.1:  How can I see it? Spatial Visualization and Reflections
3.1.2:  What if it is reflected more than once? Rotations and Translations
Congruence transformations
Classify triangles and polygons
3.1.2:  What if it is reflected more than once? Rotations and Translations
Congruence transformations
Classify triangles and polygons
3.1.3:  What is the relationship? Slopes of parallel and perpendicular lines
Lines and angles
Parallel and perpendicular lines
3.1.3:  What is the relationship? Slopes of parallel and perpendicular lines
Lines and angles
Parallel and perpendicular lines
3.1.4:  How can I move it? Defining Rigid Transformations
Mixed congruence transformations
Translations
Reflections
Rotations
3.1.4:  How can I move it? Defining Rigid Transformations
Mixed congruence transformations
Translations
Reflections
Rotations
3.1.5:  What shapes can I create with triangles? Using Transformations to Create Polygons
3.1.5:  What shapes can I create with triangles? Using Transformations to Create Polygons
3.1.6:  What shapes have symmetry? Symmetry
3.1.6:  What shapes have symmetry? Symmetry
Section 3.2
3.2.1:  How can algebra tiles help me multiply? Modeling Area and Perimeter with Algebra Tiles
Understand polynomials
Add and subtract polynomials
3.2.1:  How can algebra tiles help me multiply? Modeling Area and Perimeter with Algebra Tiles
Understand polynomials
Add and subtract polynomials
3.2.2:  How can rectangles help me multiply? Exploring an Area Model
3.2.2:  How can rectangles help me multiply? Exploring an Area Model
3.2.3:  How can I rewrite a product? Multiplying Polynomials and the Distributive Property
Multiply polynomials
Distributive property
3.2.3:  How can I rewrite a product? Multiplying Polynomials and the Distributive Property
Multiply polynomials
Distributive property
Section 3.3
3.3.1:  How can I solve it? Multiple Methods for Solving Equations
Properties
Linear equations
3.3.1:  How can I solve it? Multiple Methods for Solving Equations
Properties
Linear equations
3.3.2:  How can I rewrite or undo it? Fraction Busters
3.3.2:  How can I rewrite or undo it? Fraction Busters
3.3.3:  Which solving strategy should I use? Solving Exponential and Complex Equations
3.3.3:  Which solving strategy should I use? Solving Exponential and Complex Equations
4
Chapter 4
Modeling Two-Variable Data
Section 4.1
4.1.1:  How can I make predictions? Line of Best Fit
Pythagorean theorem
Scatter plots and line of best fit
4.1.1:  How can I make predictions? Line of Best Fit
Pythagorean theorem
Scatter plots and line of best fit
4.1.2:  How close is the model? Residuals
4.1.2:  How close is the model? Residuals
4.1.3:  What are the bounds of my predictions? Upper and Lower Bounds
4.1.3:  What are the bounds of my predictions? Upper and Lower Bounds
4.1.4:  How do I determine the LSRL? Least Squares Regression Line
4.1.4:  How do I determine the LSRL? Least Squares Regression Line
Section 4.2
4.2.1:  When is my model appropriate? Residual Plots
4.2.1:  When is my model appropriate? Residual Plots
4.2.2:  How can I measure my linear fit? Correlation
4.2.2:  How can I measure my linear fit? Correlation
4.2.3:  Why can't studies determine cause and effect? Association is Not Causation
4.2.3:  Why can't studies determine cause and effect? Association is Not Causation
4.2.4:  What does the correlation mean? Interpreting Correlation in Context
4.2.4:  What does the correlation mean? Interpreting Correlation in Context
5
Chapter 5
Sequences
Section 5.1
5.1.1:  How does the pattern grow? Representing Exponential Growth
5.1.1:  How does the pattern grow? Representing Exponential Growth
5.1.2:  How high will it bounce? Rebound Ratios
5.1.2:  How high will it bounce? Rebound Ratios
5.1.3:  What is the pattern? The Bouncing Ball and Exponential Decay
5.1.3:  What is the pattern? The Bouncing Ball and Exponential Decay
Section 5.2
5.2.1:  How can I describe a sequence? Generating and Investigating Sequences
5.2.1:  How can I describe a sequence? Generating and Investigating Sequences
5.2.2:  How do arithmetic sequences work? Generalizing Arithmetic Sequences
5.2.2:  How do arithmetic sequences work? Generalizing Arithmetic Sequences
5.2.3:  How else can I write the equation? Recursive Sequences
5.2.3:  How else can I write the equation? Recursive Sequences
Section 5.3
5.3.1:  What is the rate of change? Comparing Growth in Tables and Graphs
5.3.1:  What is the rate of change? Comparing Growth in Tables and Graphs
5.3.2:  How can I use a multiplier? Using Multipliers to Solve Problems
5.3.2:  How can I use a multiplier? Using Multipliers to Solve Problems
5.3.3:  Is it a function? Comparing Sequences to Functions
Arithmetic and geometric sequences
Convert recursive and explicit formulas
5.3.3:  Is it a function? Comparing Sequences to Functions
Arithmetic and geometric sequences
Convert recursive and explicit formulas
6
Chapter 6
Systems of Equations
Section 6.1
6.1.1:  How can I change it into y = mx + b form? Working with Multi-Variable Equations
6.1.1:  How can I change it into y = mx + b form? Working with Multi-Variable Equations
6.1.2:  What kinds of equations can I solve now? Summary of Solving Equations
6.1.2:  What kinds of equations can I solve now? Summary of Solving Equations
6.1.3:  How can I use multiple representations to solve? Solving Word Problems Using Different Representations
6.1.3:  How can I use multiple representations to solve? Solving Word Problems Using Different Representations
6.1.4:  How can I use variables to solve problems? Solving Word Problems by Writing Equations
6.1.4:  How can I use variables to solve problems? Solving Word Problems by Writing Equations
Section 6.2
6.2.1:  How can I solve the system? Solving Systems of Equations Using the Equal Values Method
6.2.1:  How can I solve the system? Solving Systems of Equations Using the Equal Values Method
6.2.2:  How can I solve the system? Solving Systems of Equations Using Substitution
6.2.2:  How can I solve the system? Solving Systems of Equations Using Substitution
6.2.3:  How can a solution be represented? Making Connections: Systems and Multiple Representations
6.2.3:  How can a solution be represented? Making Connections: Systems and Multiple Representations
Section 6.3
6.3.1:  Can I solve it without substituting? Solving Systems Using Elimination
6.3.1:  Can I solve it without substituting? Solving Systems Using Elimination
6.3.2:  How can I eliminate a variable? More Elimination
6.3.2:  How can I eliminate a variable? More Elimination
6.3.3:  How can a graph show the solution? Making Connections: Systems, Solutions, and Graphs
6.3.3:  How can a graph show the solution? Making Connections: Systems, Solutions, and Graphs
Section 6.4
6.4.1:  What is the best method? Choosing a Strategy for Solving a System
Number of solutions
Solve using any method
6.4.1:  What is the best method? Choosing a Strategy for Solving a System
Number of solutions
Solve using any method
6.4.2:  What can I do now? Pulling it all Together
6.4.2:  What can I do now? Pulling it all Together
7
Chapter 7
Congruence and Coordinate Geometry
Section 7.1
7.1.1:  Are the polygons congruent? Defining Congruence
Congruent figures
7.1.1:  Are the polygons congruent? Defining Congruence
Congruent figures
7.1.2:  Do I need to know every measurement? Conditions for Triangle Congruence
7.1.2:  Do I need to know every measurement? Conditions for Triangle Congruence
7.1.3:  How can I organize my information? Creating a Flowchart
7.1.3:  How can I organize my information? Creating a Flowchart
7.1.4:  Are the triangles congruent? Justifying Triangle Congruence Using Flowcharts
7.1.4:  Are the triangles congruent? Justifying Triangle Congruence Using Flowcharts
7.1.5:  How else can I determine congruence? More Conditions for Triangle Congruence
7.1.5:  How else can I determine congruence? More Conditions for Triangle Congruence
7.1.6:  How can I prove it? Congruence of Triangles Through Rigid Transformations
7.1.6:  How can I prove it? Congruence of Triangles Through Rigid Transformations
7.1.7:  Are the triangles congruent? More Congruence Flowcharts
7.1.7:  Are the triangles congruent? More Congruence Flowcharts
Section 7.2
7.2.1:  What makes a quadrilateral special? Studying Quadrilaterals on the Coordinate Grid
Classify quadrilaterals
Graph quadrilaterals
Properties of quadrilaterals
7.2.1:  What makes a quadrilateral special? Studying Quadrilaterals on the Coordinate Grid
Classify quadrilaterals
Graph quadrilaterals
Properties of quadrilaterals
7.2.2:  How can I find the midpoint? Coordinate Geometry and Midpoints
Midpoint and distance formulas
Midsegments of triangles
7.2.2:  How can I find the midpoint? Coordinate Geometry and Midpoints
Midpoint and distance formulas
Midsegments of triangles
7.2.3:  What kind of quadrilateral is it? Identifying Quadrilateral on the Coordinate Grid
7.2.3:  What kind of quadrilateral is it? Identifying Quadrilateral on the Coordinate Grid
8
Chapter 8
Exponential Functions
Section 8.1
8.1.1:  What do exponential graphs look like? Investigating y=bx
8.1.1:  What do exponential graphs look like? Investigating y=bx
8.1.2:  What is the connection? Multiple Representations of Exponential Functions
8.1.2:  What is the connection? Multiple Representations of Exponential Functions
8.1.3:  How does it grow? More Applications of Exponential Functions
8.1.3:  How does it grow? More Applications of Exponential Functions
8.1.4:  What if it does not grow? Exponential Decay
8.1.4:  What if it does not grow? Exponential Decay
8.1.5:  What are the connections? Graph → Equation
8.1.5:  What are the connections? Graph → Equation
8.1.6:  What is the connection? Completing the Multiple Representations Web
8.1.6:  What is the connection? Completing the Multiple Representations Web
Section 8.2
8.2.1:  How can I write the equation? Curve Fitting
8.2.1:  How can I write the equation? Curve Fitting
8.2.2:  What if a line does not fit the data? Curved Best Fit Models
8.2.2:  What if a line does not fit the data? Curved Best Fit Models
8.2.3:  How can I use exponential functions? Investigating y=bx
8.2.3:  How can I use exponential functions? Investigating y=bx
9
Chapter 9
Inequalities
Section 9.1
9.1.1:  What if the quantities are not equal? Solving Linear, One-Variable Inequalities
Understand inequalities
One-step linear inequalities
Two-step linear inequalities
9.1.1:  What if the quantities are not equal? Solving Linear, One-Variable Inequalities
Understand inequalities
One-step linear inequalities
Two-step linear inequalities
9.1.2:  How can I use inequalities? More Solving Inequalities
9.1.2:  How can I use inequalities? More Solving Inequalities
9.1.3:  How can I solve the inequality? Solving Absolute Value Equations and Inequalities
Absolute value equations
Absolute value inequalities
9.1.3:  How can I solve the inequality? Solving Absolute Value Equations and Inequalities
Absolute value equations
Absolute value inequalities
Section 9.2
9.2.1:  What if the inequality has two variables? Graphing Two-Variable Inequalities
9.2.1:  What if the inequality has two variables? Graphing Two-Variable Inequalities
9.2.2:  What if the inequality is not linear? Graphing Linear and Nonlinear Inequalities
9.2.2:  What if the inequality is not linear? Graphing Linear and Nonlinear Inequalities
Section 9.3
9.3.1:  How can I represent it? Systems of Inequalities
9.3.1:  How can I represent it? Systems of Inequalities
9.3.2:  How can I apply it? More Systems of Inequalities
9.3.2:  How can I apply it? More Systems of Inequalities
9.3.3:  How can I use inequalities to solve problems? Applying Inequalities to Solve Problems
9.3.3:  How can I use inequalities to solve problems? Applying Inequalities to Solve Problems
10
Chapter 10
Functions and Data
Section 10.1
10.1.1:  What can I tell from a survey? Association in Two-Way Tables
Two-way tables
10.1.1:  What can I tell from a survey? Association in Two-Way Tables
Two-way tables
10.1.2:  How do I represent consistency? Investigating Data Representations
Box and whisker plots
Measures of center and spread
Outliers
10.1.2:  How do I represent consistency? Investigating Data Representations
Box and whisker plots
Measures of center and spread
Outliers
10.1.3:  How can I compare results? Comparing Data
10.1.3:  How can I compare results? Comparing Data
10.1.4:  How can I measure variability? Standard Deviation
10.1.4:  How can I measure variability? Standard Deviation
Section 10.2
10.2.1:  How can I make it different? Transforming Functions
10.2.1:  How can I make it different? Transforming Functions
10.2.2:  How can I combine functions? Arithmetic Operations with Functions
10.2.2:  How can I combine functions? Arithmetic Operations with Functions
10.2.3:  How can I prove growth? Proving Linear and Exponential Growth Patterns
10.2.3:  How can I prove growth? Proving Linear and Exponential Growth Patterns
11
Chapter 11
Constructions and Closure
Section 11.1
11.1.1:  How can I construct it? Introduction to Constructions
11.1.1:  How can I construct it? Introduction to Constructions
11.1.2:  How can I construct it? Constructing Bisectors
11.1.2:  How can I construct it? Constructing Bisectors
11.1.3:  How do I construct it? More Explorations with Constructions
Parallel and perpendicular lines
Regular polygons
Polygons inscribed in circles
11.1.3:  How do I construct it? More Explorations with Constructions
Parallel and perpendicular lines
Regular polygons
Polygons inscribed in circles
Section 11.2
11.2.1:  How can I solve it? Solving Work and Mixture Problems
11.2.1:  How can I solve it? Solving Work and Mixture Problems
11.2.2:  How do I use a graph to solve? Solving Systems of Equations Graphically
11.2.2:  How do I use a graph to solve? Solving Systems of Equations Graphically
11.2.3:  How can I make a prediction? Using a Best Fit Line to Make a Prediction
11.2.3:  How can I make a prediction? Using a Best Fit Line to Make a Prediction
11.2.4:  Can I find it? Treasure Hunt
11.2.4:  Can I find it? Treasure Hunt
11.2.5:  What is the shape? Using Coordinate Geometry and Constructions to Explore Shapes
11.2.5:  What is the shape? Using Coordinate Geometry and Constructions to Explore Shapes
11.2.6:  How much will I need? Modeling with Exponential Functions and Linear Inequalities
11.2.6:  How much will I need? Modeling with Exponential Functions and Linear Inequalities
A
Appendix
Solving Equations
A.1.1 How can I represent an expression?:  Exploring Variables and Expressions
A.1.1 How can I represent an expression?:  Exploring Variables and Expressions
A.1.2 What makes zero?:  Using Zero to Simplify Algebraic Expressions
A.1.2 What makes zero?:  Using Zero to Simplify Algebraic Expressions
A.1.3 How can I simplify the expression?:  Using Algebra Tiles to Compare Expressions
A.1.3 How can I simplify the expression?:  Using Algebra Tiles to Compare Expressions
A.1.4 How can I write it?:  Justifying and Recording Work
A.1.4 How can I write it?:  Justifying and Recording Work
A.1.5 What if both sides are equal?:  Using Algebra Tiles to Solve for x
A.1.5 What if both sides are equal?:  Using Algebra Tiles to Solve for x
A.1.6 What is x?:  More Solving Equations
A.1.6 What is x?:  More Solving Equations
A.1.7 How can I check my answer?:  Checking Solutions
A.1.7 How can I check my answer?:  Checking Solutions
A.1.8 How many solutions are there?:  Determining the Number of Solutions
A.1.8 How many solutions are there?:  Determining the Number of Solutions
A.1.9 How can I use my equation-solving skills?:  Using Equations to Solve Problems
A.1.9 How can I use my equation-solving skills?:  Using Equations to Solve Problems
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