IXL skill plan | Algebra 1 plan for Eureka Math2

Skill plan for Eureka Math² - Algebra 1

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1	Module 1 Expressions, Equations, and Inequalities in One Variable
Topic A - Adding, Subtracting, and Multiplying Polynomial Expressions
Lesson 1: The Growing Pattern of Ducks		1. Shape patterns 2. Complete an increasing number sequence
Lesson 1: The Growing Pattern of Ducks
1. Shape patterns 2. Complete an increasing number sequence

Lesson 2: The Commutative, Associative, and Distributive Properties		1. Identify equivalent linear expressions 2. Properties of addition and multiplication 3. Distributive property 4. Simplify linear expressions using properties Also consider: • Evaluate variable expressions involving rational numbers • Solve one-step linear equations
Lesson 2: The Commutative, Associative, and Distributive Properties
1. Identify equivalent linear expressions 2. Properties of addition and multiplication 3. Distributive property 4. Simplify linear expressions using properties Also consider: • Evaluate variable expressions involving rational numbers • Solve one-step linear equations

Lesson 3: Polynomial Expressions		1. Polynomial vocabulary Also consider: • Identify monomials
Lesson 3: Polynomial Expressions
1. Polynomial vocabulary Also consider: • Identify monomials

Lesson 4: Adding and Subtracting Polynomial Expressions		1. Add and subtract polynomials Also consider: • Add polynomials to find perimeter • Simplify variable expressions involving like terms and the distributive property • Evaluate variable expressions involving integers • Add and subtract rational numbers
Lesson 4: Adding and Subtracting Polynomial Expressions
1. Add and subtract polynomials Also consider: • Add polynomials to find perimeter • Simplify variable expressions involving like terms and the distributive property • Evaluate variable expressions involving integers • Add and subtract rational numbers

Lesson 5: Multiplying Polynomial Expressions		1. Multiply a polynomial by a monomial 2. Multiply two binomials using area models 3. Multiply two binomials Also consider: • Multiply polynomials to find area • Multiply and divide rational numbers
Lesson 5: Multiplying Polynomial Expressions
1. Multiply a polynomial by a monomial 2. Multiply two binomials using area models 3. Multiply two binomials Also consider: • Multiply polynomials to find area • Multiply and divide rational numbers

Lesson 6: Polynomial Identities		1. Multiply two binomials: special cases 2. Multiply polynomials Also consider: • Multiply polynomials using area models • Evaluate numerical expressions involving rational numbers
Lesson 6: Polynomial Identities
1. Multiply two binomials: special cases 2. Multiply polynomials Also consider: • Multiply polynomials using area models • Evaluate numerical expressions involving rational numbers
Topic B - Solving Equations and Inequalities in One Variable
Lesson 7: Printing Presses		1. Write variable expressions 2. Write and solve linear equations that represent diagrams Also consider: • Write variable equations • Rate of travel: word problems • Word problems: mixed review
Lesson 7: Printing Presses
1. Write variable expressions 2. Write and solve linear equations that represent diagrams Also consider: • Write variable equations • Rate of travel: word problems • Word problems: mixed review

Lesson 8: Solution Sets for Equations and Inequalities in One Variable		1. Which x satisfies an equation? 2. Identify solutions to inequalities 3. Find the number of solutions to a linear equation Also consider: • Does x satisfy the equation? • Graph inequalities • Write inequalities from graphs • Solve one-step linear inequalities: addition and subtraction
Lesson 8: Solution Sets for Equations and Inequalities in One Variable
1. Which x satisfies an equation? 2. Identify solutions to inequalities 3. Find the number of solutions to a linear equation Also consider: • Does x satisfy the equation? • Graph inequalities • Write inequalities from graphs • Solve one-step linear inequalities: addition and subtraction

Lesson 9: Solve Linear Equations in One Variable		1. Solve linear equations with variables on one side 2. Solve linear equations with variables on both sides 3. Solve linear equations: complete the solution Also consider: • Properties of equality • Solve two-step linear equations • Solve one-step linear inequalities: multiplication and division
Lesson 9: Solve Linear Equations in One Variable
1. Solve linear equations with variables on one side 2. Solve linear equations with variables on both sides 3. Solve linear equations: complete the solution Also consider: • Properties of equality • Solve two-step linear equations • Solve one-step linear inequalities: multiplication and division

Lesson 10: Some Potential Dangers When Solving Equations (Optional)		1. Identify equivalent equations 2. Solve linear equations: mixed review Also consider: • Create linear equations with no solutions or infinitely many solutions • Solve one-step linear inequalities
Lesson 10: Some Potential Dangers When Solving Equations (Optional)
1. Identify equivalent equations 2. Solve linear equations: mixed review Also consider: • Create linear equations with no solutions or infinitely many solutions • Solve one-step linear inequalities

Lesson 11: Writing and Solving Equations in One Variable		1. Solve one-step and two-step linear equations: word problems 2. Solve linear equations with variables on both sides: word problems Also consider: • Consecutive integer problems • Weighted averages: word problems • Absolute value and opposites
Lesson 11: Writing and Solving Equations in One Variable
1. Solve one-step and two-step linear equations: word problems 2. Solve linear equations with variables on both sides: word problems Also consider: • Consecutive integer problems • Weighted averages: word problems • Absolute value and opposites

Lesson 12: Rearranging Formulas		1. Rearrange multi-variable equations Also consider: • Solve proportions
Lesson 12: Rearranging Formulas
1. Rearrange multi-variable equations Also consider: • Solve proportions

Lesson 13: Solving Linear Inequalities in One Variable		1. Solve two-step linear inequalities 2. Graph solutions to advanced linear inequalities Also consider: • Graph solutions to two-step linear inequalities • Solve advanced linear inequalities
Lesson 13: Solving Linear Inequalities in One Variable
1. Solve two-step linear inequalities 2. Graph solutions to advanced linear inequalities Also consider: • Graph solutions to two-step linear inequalities • Solve advanced linear inequalities
Topic C - Compound Statements Involving Equations and Inequalities in One Variable
Lesson 14: Solution Sets of Compound Statements		1. Graph compound inequalities 2. Write compound inequalities from graphs 3. Set-builder notation
Lesson 14: Solution Sets of Compound Statements
1. Graph compound inequalities 2. Write compound inequalities from graphs 3. Set-builder notation

Lesson 15: Solving and Graphing Compound Inequalities		1. Solve compound inequalities 2. Graph solutions to compound inequalities
Lesson 15: Solving and Graphing Compound Inequalities
1. Solve compound inequalities 2. Graph solutions to compound inequalities

Lesson 16: Solving Absolute Value Equations		1. Write absolute value equations from graphs 2. Solve absolute value equations 3. Graph solutions to absolute value equations Also consider: • Evaluate absolute value expressions
Lesson 16: Solving Absolute Value Equations
1. Write absolute value equations from graphs 2. Solve absolute value equations 3. Graph solutions to absolute value equations Also consider: • Evaluate absolute value expressions

Lesson 17: Solving Absolute Value Inequalities		1. Solve absolute value inequalities 2. Graph solutions to absolute value inequalities
Lesson 17: Solving Absolute Value Inequalities
1. Solve absolute value inequalities 2. Graph solutions to absolute value inequalities
Topic D - Univariate Data
Lesson 18: Distributions and Their Shapes		1. Interpret line plots 2. Create line plots
Lesson 18: Distributions and Their Shapes
1. Interpret line plots 2. Create line plots

Lesson 19: Describing the Center of a Distribution		1. Mean and median 2. Create histograms Also consider: • Interpret histograms
Lesson 19: Describing the Center of a Distribution
1. Mean and median 2. Create histograms Also consider: • Interpret histograms

Lesson 20: Using Center to Compare Data Distributions		1. Calculate quartiles and interquartile range 2. Box plots Also consider: • Rate of change of a linear function: graphs
Lesson 20: Using Center to Compare Data Distributions
1. Calculate quartiles and interquartile range 2. Box plots Also consider: • Rate of change of a linear function: graphs

Lesson 21: Describing Variability in a Univariate Distribution with Standard Deviation		1. Variance and standard deviation Also consider: • Interpret mean and mean absolute deviation • Identify an outlier • Identify an outlier and describe the effect of removing it
Lesson 21: Describing Variability in a Univariate Distribution with Standard Deviation
1. Variance and standard deviation Also consider: • Interpret mean and mean absolute deviation • Identify an outlier • Identify an outlier and describe the effect of removing it

Lesson 22: Estimating Variability in Data Distributions		1. Choose appropriate measures of center and variation 2. Interpret line plots, histograms, and box plots Also consider: • Mean, median, mode, and range
Lesson 22: Estimating Variability in Data Distributions
1. Choose appropriate measures of center and variation 2. Interpret line plots, histograms, and box plots Also consider: • Mean, median, mode, and range

Lesson 23: Comparing Distributions of Univariate Data
Lesson 23: Comparing Distributions of Univariate Data


Checkpoint opportunity		1. Checkpoint: Polynomial operations 2. Checkpoint: Solve linear equations and inequalities 3. Checkpoint: Line plots, histograms, and box plots 4. Checkpoint: Compare data sets
Checkpoint opportunity
1. Checkpoint: Polynomial operations 2. Checkpoint: Solve linear equations and inequalities 3. Checkpoint: Line plots, histograms, and box plots 4. Checkpoint: Compare data sets

2	Module 2 Equations and Inequalities in Two Variables
Topic A - Linear Equations and Inequalities in Two Variables
Lesson 1: Solution Sets of Linear Equations in Two Variables		1. Does (x, y) satisfy the linear equation? 2. Relate the graph of a linear equation to its solutions Also consider: • Graph a linear function
Lesson 1: Solution Sets of Linear Equations in Two Variables
1. Does (x, y) satisfy the linear equation? 2. Relate the graph of a linear equation to its solutions Also consider: • Graph a linear function

Lesson 2: Graphing Linear Equations in Two Variables		1. Slope-intercept form: graph an equation 2. Standard form: graph a line from an equation 3. Graph a horizontal or vertical line Also consider: • Slope-intercept form: find the slope and y-intercept • Standard form: find x- and y-intercepts • Linear equations: solve for y • Find the slope of a graph
Lesson 2: Graphing Linear Equations in Two Variables
1. Slope-intercept form: graph an equation 2. Standard form: graph a line from an equation 3. Graph a horizontal or vertical line Also consider: • Slope-intercept form: find the slope and y-intercept • Standard form: find x- and y-intercepts • Linear equations: solve for y • Find the slope of a graph

Lesson 3: Creating Linear Equations in Two Variables		1. Slope-intercept form: write an equation from a graph 2. Point-slope form: write an equation from a graph 3. Write linear equations Also consider: • Slope-intercept form: write an equation from a table • Write a linear function: word problems • Equations of horizontal and vertical lines
Lesson 3: Creating Linear Equations in Two Variables
1. Slope-intercept form: write an equation from a graph 2. Point-slope form: write an equation from a graph 3. Write linear equations Also consider: • Slope-intercept form: write an equation from a table • Write a linear function: word problems • Equations of horizontal and vertical lines

Lesson 4: Solution Sets of Linear Inequalities in Two Variables		1. Write a linear inequality from a graph Also consider: • Does (x, y) satisfy the inequality?
Lesson 4: Solution Sets of Linear Inequalities in Two Variables
1. Write a linear inequality from a graph Also consider: • Does (x, y) satisfy the inequality?

Lesson 5: Graphing Linear Inequalities in Two Variables		1. Graph a two-variable linear inequality Also consider: • Linear inequalities: solve for y
Lesson 5: Graphing Linear Inequalities in Two Variables
1. Graph a two-variable linear inequality Also consider: • Linear inequalities: solve for y

Lesson 6: Applications of Linear Equations and Inequalities		1. Write two-variable inequalities: word problems
Lesson 6: Applications of Linear Equations and Inequalities
1. Write two-variable inequalities: word problems
Topic B - Systems of Linear Equations and Inequalities in Two Variables
Lesson 7: Low-Flow Showerhead		1. Guess-and-check word problems Also consider: • Multi-step problems with unit conversions • Unit prices with unit conversions
Lesson 7: Low-Flow Showerhead
1. Guess-and-check word problems Also consider: • Multi-step problems with unit conversions • Unit prices with unit conversions

Lesson 8: Systems of Linear Equations in Two Variables		1. Solve a system of equations by graphing 2. Solve a system of equations using substitution 3. Find the number of solutions to a system of equations Also consider: • Is (x, y) a solution to the system of equations? • Solve a system of equations by graphing: word problems • Find the number of solutions to a system of equations by graphing
Lesson 8: Systems of Linear Equations in Two Variables
1. Solve a system of equations by graphing 2. Solve a system of equations using substitution 3. Find the number of solutions to a system of equations Also consider: • Is (x, y) a solution to the system of equations? • Solve a system of equations by graphing: word problems • Find the number of solutions to a system of equations by graphing

Lesson 9: A New Way to Solve Systems		1. Solve a system of equations by adding or subtracting
Lesson 9: A New Way to Solve Systems
1. Solve a system of equations by adding or subtracting

Lesson 10: The Elimination Method		1. Solve a system of equations using elimination 2. Solve a system of equations using any method Also consider: • Solve a system of equations using elimination: word problems
Lesson 10: The Elimination Method
1. Solve a system of equations using elimination 2. Solve a system of equations using any method Also consider: • Solve a system of equations using elimination: word problems

Lesson 11: Applications of Systems of Equations		1. Solve a system of equations using any method: word problems Also consider: • Solve a system of equations using substitution: word problems
Lesson 11: Applications of Systems of Equations
1. Solve a system of equations using any method: word problems Also consider: • Solve a system of equations using substitution: word problems

Lesson 12: Solution Sets of Systems of Linear Inequalities		1. Is (x, y) a solution to the system of linear inequalities?
Lesson 12: Solution Sets of Systems of Linear Inequalities
1. Is (x, y) a solution to the system of linear inequalities?

Lesson 13: Graphing Solution Sets of Systems of Linear Inequalities		1. Solve systems of linear inequalities by graphing
Lesson 13: Graphing Solution Sets of Systems of Linear Inequalities
1. Solve systems of linear inequalities by graphing

Lesson 14: Applications of Systems of Linear Inequalities
Lesson 14: Applications of Systems of Linear Inequalities

Topic C - Numerical Data on Two Variables
Lesson 15: Relationships between Quantitative Variables		1. Identify trends with scatter plots 2. Create scatter plots Also consider: • Interpret a scatter plot • Find the slope from two points
Lesson 15: Relationships between Quantitative Variables
1. Identify trends with scatter plots 2. Create scatter plots Also consider: • Interpret a scatter plot • Find the slope from two points

Lesson 16: Using Lines to Model Bivariate Quantitative Data		1. Identify lines of best fit 2. Write equations for lines of best fit 3. Interpret lines of best fit: word problems Also consider: • Write a linear equation from two points • Solve percent equations • Percent word problems
Lesson 16: Using Lines to Model Bivariate Quantitative Data
1. Identify lines of best fit 2. Write equations for lines of best fit 3. Interpret lines of best fit: word problems Also consider: • Write a linear equation from two points • Solve percent equations • Percent word problems

Lesson 17: Modeling Relationships with a Line		1. Find the equation of a regression line 2. Interpret regression lines
Lesson 17: Modeling Relationships with a Line
1. Find the equation of a regression line 2. Interpret regression lines

Lesson 18: Calculating and Analyzing Residuals
Lesson 18: Calculating and Analyzing Residuals


Lesson 19: Analyzing Residuals
Lesson 19: Analyzing Residuals


Lesson 20: Interpreting Correlation		1. Calculate correlation coefficients 2. Correlation and causation Also consider: • Outliers in scatter plots • Identify independent and dependent variables
Lesson 20: Interpreting Correlation
1. Calculate correlation coefficients 2. Correlation and causation Also consider: • Outliers in scatter plots • Identify independent and dependent variables

Lesson 21: Analyzing Bivariate Quantitative Data		1. Analyze a regression line of a data set
Lesson 21: Analyzing Bivariate Quantitative Data
1. Analyze a regression line of a data set
Topic D - Categorical Data on Two Variables
Lesson 22: Summarizing Bivariate Categorical Data with Two-Way Tables		1. Find probabilities using two-way frequency tables
Lesson 22: Summarizing Bivariate Categorical Data with Two-Way Tables
1. Find probabilities using two-way frequency tables

Lesson 23: Bivariate Categorical Data and Conditional Relative Frequency Tables		1. Find conditional probabilities using two-way frequency tables
Lesson 23: Bivariate Categorical Data and Conditional Relative Frequency Tables
1. Find conditional probabilities using two-way frequency tables

Lesson 24: Conditional Relative Frequencies and Association
Lesson 24: Conditional Relative Frequencies and Association


Checkpoint opportunity		Module 2 1. Checkpoint: Systems of equations and inequalities 2. Checkpoint: Modeling with linear equations and inequalities 3. Checkpoint: Linear modeling 4. Checkpoint: Two-way frequency tables Modules 1–2 5. Checkpoint: Units and quantities
Checkpoint opportunity
Module 2 1. Checkpoint: Systems of equations and inequalities 2. Checkpoint: Modeling with linear equations and inequalities 3. Checkpoint: Linear modeling 4. Checkpoint: Two-way frequency tables Modules 1–2 5. Checkpoint: Units and quantities

3	Module 3 Functions and Their Representations
Topic A - Functions and Their Graphs
Lesson 1: The Definition of a Function		1. Domain and range of relations 2. Identify functions Also consider: • Identify functions: vertical line test
Lesson 1: The Definition of a Function
1. Domain and range of relations 2. Identify functions Also consider: • Identify functions: vertical line test

Lesson 2: Representing, Naming, and Evaluating Functions		1. Evaluate a function 2. Domain and range of linear functions: word problems 3. Interpret functions using everyday language Also consider: • Identify linear and nonlinear functions from graphs
Lesson 2: Representing, Naming, and Evaluating Functions
1. Evaluate a function 2. Domain and range of linear functions: word problems 3. Interpret functions using everyday language Also consider: • Identify linear and nonlinear functions from graphs

Lesson 3: The Graph of a Function		1. Complete a function table from an equation 2. Complete a function table from a graph Also consider: • Add and subtract functions
Lesson 3: The Graph of a Function
1. Complete a function table from an equation 2. Complete a function table from a graph Also consider: • Add and subtract functions

Lesson 4: The Graph of the Equation y = f(x)		1. Complete a table and graph a linear function Also consider: • Graph linear functions
Lesson 4: The Graph of the Equation y = f(x)
1. Complete a table and graph a linear function Also consider: • Graph linear functions

Lesson 5: Using Pseudocode to Compare Graphs of Functions and Graphs of Equations (Optional)
Lesson 5: Using Pseudocode to Compare Graphs of Functions and Graphs of Equations (Optional)


Lesson 6: Representations of Functions		1. Find values using function graphs Also consider: • Write an equation from a graph using a table • Complete a table and make a graph: word problems
Lesson 6: Representations of Functions
1. Find values using function graphs Also consider: • Write an equation from a graph using a table • Complete a table and make a graph: word problems
Topic B - Interpreting Functions
Lesson 7: Exploring Key Features of a Function and Its Graph
Lesson 7: Exploring Key Features of a Function and Its Graph


Lesson 8: Identifying Key Features of a Function and Its Graph
Lesson 8: Identifying Key Features of a Function and Its Graph


Lesson 9: Representing Functions from Verbal Descriptions
Lesson 9: Representing Functions from Verbal Descriptions


Lesson 10: Using Graphs to Solve Equations		1. Find solutions using a table Also consider: • Approximate solutions using a table
Lesson 10: Using Graphs to Solve Equations
1. Find solutions using a table Also consider: • Approximate solutions using a table

Lesson 11: Comparing Functions		1. Compare linear functions: tables, graphs, and equations • Coming soon: Compare linear functions: word problems Also consider: • Evaluate a linear function from its graph: word problems
Lesson 11: Comparing Functions
1. Compare linear functions: tables, graphs, and equations • Coming soon: Compare linear functions: word problems Also consider: • Evaluate a linear function from its graph: word problems

Lesson 12: Mars Curiosity Rover
Lesson 12: Mars Curiosity Rover

Topic C - Piecewise-Defined Linear Functions
Lesson 13: Modeling Elevation as a Function of Time		1. Identify graphs: word problems
Lesson 13: Modeling Elevation as a Function of Time
1. Identify graphs: word problems

Lesson 14: Piecewise Linear Functions		1. Evaluate piecewise-defined functions 2. Graph piecewise-defined functions
Lesson 14: Piecewise Linear Functions
1. Evaluate piecewise-defined functions 2. Graph piecewise-defined functions

Lesson 15: The Absolute Value Function		1. Complete a function table: absolute value functions 2. Graph an absolute value function 3. Domain and range of absolute value functions: graphs Also consider: • Domain and range of absolute value functions: equations
Lesson 15: The Absolute Value Function
1. Complete a function table: absolute value functions 2. Graph an absolute value function 3. Domain and range of absolute value functions: graphs Also consider: • Domain and range of absolute value functions: equations

Lesson 16: Step Functions
Lesson 16: Step Functions


Lesson 17: Piecewise Linear Functions in Context
Lesson 17: Piecewise Linear Functions in Context

Topic D - Transformations of Functions
Lesson 18: Exploring Transformations of the Graphs of Functions		1. Function transformation rules
Lesson 18: Exploring Transformations of the Graphs of Functions
1. Function transformation rules

Lesson 19: Building New Functions–Translations		1. Translations of functions
Lesson 19: Building New Functions–Translations
1. Translations of functions

Lesson 20: Building New Functions–Reflections		1. Reflections of functions Also consider: • Graph square root functions • Domain and range of square root functions: graphs
Lesson 20: Building New Functions–Reflections
1. Reflections of functions Also consider: • Graph square root functions • Domain and range of square root functions: graphs

Lesson 21: Building New Functions–Vertical Scaling
Lesson 21: Building New Functions–Vertical Scaling


Lesson 22: Building New Functions–Horizontal Scaling		1. Dilations of functions Also consider: • Multiply functions
Lesson 22: Building New Functions–Horizontal Scaling
1. Dilations of functions Also consider: • Multiply functions

Lesson 23: A Summary of Transforming the Graph of a Function		1. Describe function transformations
Lesson 23: A Summary of Transforming the Graph of a Function
1. Describe function transformations

Checkpoint opportunity		1. Checkpoint: Function concepts
Checkpoint opportunity
1. Checkpoint: Function concepts

4	Module 4 Quadratic Functions
Topic A - Quadratic Functions and Their Graphs
Lesson 1: Falling Objects		1. Complete a function table: quadratic functions 2. Introduction to graphing quadratic functions Also consider: • Identify linear functions from tables
Lesson 1: Falling Objects
1. Complete a function table: quadratic functions 2. Introduction to graphing quadratic functions Also consider: • Identify linear functions from tables

Lesson 2: Projectile Motion
Lesson 2: Projectile Motion


Lesson 3: Analyzing Functions That Model Projectile Motion
Lesson 3: Analyzing Functions That Model Projectile Motion


Lesson 4: Graphs of Quadratic Functions		1. Characteristics of quadratic functions: graphs 2. Domain and range of quadratic functions: graphs
Lesson 4: Graphs of Quadratic Functions
1. Characteristics of quadratic functions: graphs 2. Domain and range of quadratic functions: graphs
Topic B - Factoring
Lesson 5: Solving Equations That Contain Factored Expressions		1. Solve a quadratic equation using the zero product property Also consider: • Factor out a monomial • GCF of monomials • Sort rational and irrational numbers
Lesson 5: Solving Equations That Contain Factored Expressions
1. Solve a quadratic equation using the zero product property Also consider: • Factor out a monomial • GCF of monomials • Sort rational and irrational numbers

Lesson 6: Solving Quadratic Equations by Factoring: Identities and Guess and Check		1. Factor polynomials 2. Solve quadratic equations by factoring: leading coefficient 1 3. Solve quadratic equations by factoring: special cases Also consider: • Factor quadratics with leading coefficient 1 • Factor quadratics: special cases • Factor quadratics using algebra tiles
Lesson 6: Solving Quadratic Equations by Factoring: Identities and Guess and Check
1. Factor polynomials 2. Solve quadratic equations by factoring: leading coefficient 1 3. Solve quadratic equations by factoring: special cases Also consider: • Factor quadratics with leading coefficient 1 • Factor quadratics: special cases • Factor quadratics using algebra tiles

Lesson 7: Solving Quadratic Equations by Factoring: Splitting the Linear Term		1. Solve quadratic equations by factoring: other leading coefficients Also consider: • Factor quadratics with other leading coefficients • Factor by grouping
Lesson 7: Solving Quadratic Equations by Factoring: Splitting the Linear Term
1. Solve quadratic equations by factoring: other leading coefficients Also consider: • Factor quadratics with other leading coefficients • Factor by grouping

Lesson 8: A Summary of Solving Quadratic Equations by Factoring		1. Solve a quadratic equation by factoring Also consider: • Factor using a quadratic pattern • Distance, rate, and time word problems with two vehicles
Lesson 8: A Summary of Solving Quadratic Equations by Factoring
1. Solve a quadratic equation by factoring Also consider: • Factor using a quadratic pattern • Distance, rate, and time word problems with two vehicles

Lesson 9: Creating and Solving Equations in One Variable		1. Area and perimeter: word problems
Lesson 9: Creating and Solving Equations in One Variable
1. Area and perimeter: word problems

Lesson 10: Zeros of Functions		1. Write a quadratic function from its zeros Also consider: • Find the roots of factored quadratic functions
Lesson 10: Zeros of Functions
1. Write a quadratic function from its zeros Also consider: • Find the roots of factored quadratic functions

Lesson 11: Graphing Quadratic Functions from Factored Form		1. Use zeros to match quadratic functions and graphs
Lesson 11: Graphing Quadratic Functions from Factored Form
1. Use zeros to match quadratic functions and graphs

Lesson 12: Using Symmetry to Graph Quadratic Functions from Standard Form		1. Characteristics of quadratic functions: equations Also consider: • Domain and range of quadratic functions: equations
Lesson 12: Using Symmetry to Graph Quadratic Functions from Standard Form
1. Characteristics of quadratic functions: equations Also consider: • Domain and range of quadratic functions: equations
Topic C - Completing the Square
Lesson 13: Using Square Roots to Solve Quadratic Equations		1. Solve a quadratic equation using square roots 2. Classify sums and differences of rational and irrational numbers
Lesson 13: Using Square Roots to Solve Quadratic Equations
1. Solve a quadratic equation using square roots 2. Classify sums and differences of rational and irrational numbers

Lesson 14: Solving Quadratic Equations by Completing the Square		1. Complete the square 2. Solve a quadratic equation by completing the square
Lesson 14: Solving Quadratic Equations by Completing the Square
1. Complete the square 2. Solve a quadratic equation by completing the square

Lesson 15: Deriving the Quadratic Formula
Lesson 15: Deriving the Quadratic Formula


Lesson 16: Solving Quadratic Equations		1. Solve a quadratic equation using the quadratic formula 2. Solve quadratic equations: word problems
Lesson 16: Solving Quadratic Equations
1. Solve a quadratic equation using the quadratic formula 2. Solve quadratic equations: word problems

Lesson 17: Rewriting Square Roots		1. Simplify radical expressions 2. Multiply radicals 3. Properties of operations on rational and irrational numbers Also consider: • Square roots • Simplify radicals with fractions • Add and subtract radical expressions
Lesson 17: Rewriting Square Roots
1. Simplify radical expressions 2. Multiply radicals 3. Properties of operations on rational and irrational numbers Also consider: • Square roots • Simplify radicals with fractions • Add and subtract radical expressions

Lesson 18: The Quadratic Formula and Zeros of a Function		1. Using the discriminant
Lesson 18: The Quadratic Formula and Zeros of a Function
1. Using the discriminant

Lesson 19: Transforming the Graphs of Quadratic Functions		1. Transformations of quadratic functions 2. Graph quadratic functions in vertex form 3. Find the axis of symmetry or the vertex of a parabola
Lesson 19: Transforming the Graphs of Quadratic Functions
1. Transformations of quadratic functions 2. Graph quadratic functions in vertex form 3. Find the axis of symmetry or the vertex of a parabola

Lesson 20: Art with Transformations (Optional)		1. Transformations of functions
Lesson 20: Art with Transformations (Optional)
1. Transformations of functions

Lesson 21: Completing the Square to Graph Quadratic Functions		1. Write a quadratic function in vertex form 2. Graph quadratic functions in standard form
Lesson 21: Completing the Square to Graph Quadratic Functions
1. Write a quadratic function in vertex form 2. Graph quadratic functions in standard form
Topic D - Modeling with Quadratic Functions
Lesson 22: A Summary of Graphing Quadratic Functions		1. Match quadratic functions and graphs
Lesson 22: A Summary of Graphing Quadratic Functions
1. Match quadratic functions and graphs

Lesson 23: Creating Equations of Quadratic Functions to Model Contexts		1. Interpret parts of quadratic expressions: word problems
Lesson 23: Creating Equations of Quadratic Functions to Model Contexts
1. Interpret parts of quadratic expressions: word problems

Lesson 24: Another Look at Systems of Equations		1. Solve a system of linear and quadratic equations by graphing 2. Solve a system of linear and quadratic equations
Lesson 24: Another Look at Systems of Equations
1. Solve a system of linear and quadratic equations by graphing 2. Solve a system of linear and quadratic equations

Lesson 25: Maximizing Area
Lesson 25: Maximizing Area


Lesson 26: Modeling Data with Quadratic Functions		1. Identify linear and quadratic functions from tables
Lesson 26: Modeling Data with Quadratic Functions
1. Identify linear and quadratic functions from tables

Lesson 27: Search and Rescue Helicopter
Lesson 27: Search and Rescue Helicopter


Checkpoint opportunity		1. Checkpoint: Quadratic equations
Checkpoint opportunity
1. Checkpoint: Quadratic equations

5	Module 5 Linear and Exponential Functions
Topic A - Arithmetic and Geometric Sequences
Lesson 1: Exploring Patterns		1. Sequences: mixed review Also consider: • Negative exponents
Lesson 1: Exploring Patterns
1. Sequences: mixed review Also consider: • Negative exponents

Lesson 2: The Recursive Challenge		1. Evaluate recursive formulas for sequences: function notation
Lesson 2: The Recursive Challenge
1. Evaluate recursive formulas for sequences: function notation

Lesson 3: Recursive Formulas for Sequences		1. Write a formula for a recursive sequence: function notation Also consider: • Multiplication and division with positive exponents • Simplify exponential expressions using the power rule
Lesson 3: Recursive Formulas for Sequences
1. Write a formula for a recursive sequence: function notation Also consider: • Multiplication and division with positive exponents • Simplify exponential expressions using the power rule

Lesson 4: Explicit Formulas for Sequences		1. Evaluate formulas for number sequences: function notation 2. Identify a sequence as explicit or recursive: function notation
Lesson 4: Explicit Formulas for Sequences
1. Evaluate formulas for number sequences: function notation 2. Identify a sequence as explicit or recursive: function notation

Lesson 5: Arithmetic and Geometric Sequences		1. Identify arithmetic and geometric sequences 2. Write formulas for arithmetic sequences: function notation 3. Write formulas for geometric sequences: function notation Also consider: • Arithmetic sequences • Geometric sequences
Lesson 5: Arithmetic and Geometric Sequences
1. Identify arithmetic and geometric sequences 2. Write formulas for arithmetic sequences: function notation 3. Write formulas for geometric sequences: function notation Also consider: • Arithmetic sequences • Geometric sequences

Lesson 6: Representations of Arithmetic and Geometric Sequences		1. Convert a recursive formula to an explicit formula: function notation 2. Convert an explicit formula to a recursive formula: function notation
Lesson 6: Representations of Arithmetic and Geometric Sequences
1. Convert a recursive formula to an explicit formula: function notation 2. Convert an explicit formula to a recursive formula: function notation

Lesson 7: Sierpinski Triangle (Optional)
Lesson 7: Sierpinski Triangle (Optional)

Topic B - Exponential Functions and Their Graphs
Lesson 8: Exponential Functions		1. Evaluate an exponential function Also consider: • Write linear and exponential growth functions: word problems • Percent of a number: tax, discount, and more
Lesson 8: Exponential Functions
1. Evaluate an exponential function Also consider: • Write linear and exponential growth functions: word problems • Percent of a number: tax, discount, and more

Lesson 9: Unit Fraction Exponents		1. Evaluate whole numbers raised to unit fraction exponents Also consider: • Identify linear and exponential functions from graphs • Identify equivalent exponential expressions I • Identify equivalent exponential expressions II
Lesson 9: Unit Fraction Exponents
1. Evaluate whole numbers raised to unit fraction exponents Also consider: • Identify linear and exponential functions from graphs • Identify equivalent exponential expressions I • Identify equivalent exponential expressions II

Lesson 10: Rational Exponents		1. Convert between rational exponents and radicals 2. Evaluate whole numbers raised to rational exponents 3. Simplify expressions involving rational exponents Also consider: • Multiplication with rational exponents • Division with rational exponents • Power rule with rational exponents
Lesson 10: Rational Exponents
1. Convert between rational exponents and radicals 2. Evaluate whole numbers raised to rational exponents 3. Simplify expressions involving rational exponents Also consider: • Multiplication with rational exponents • Division with rational exponents • Power rule with rational exponents

Lesson 11: Graphing Exponential Functions		1. Graph simple exponential functions 2. Domain and range of exponential functions: graphs Also consider: • Identify linear, quadratic, and exponential functions from graphs
Lesson 11: Graphing Exponential Functions
1. Graph simple exponential functions 2. Domain and range of exponential functions: graphs Also consider: • Identify linear, quadratic, and exponential functions from graphs

Lesson 12: Using Transformations to Graph Exponential Functions (Bases Greater Than 1)		1. Graph increasing exponential functions
Lesson 12: Using Transformations to Graph Exponential Functions (Bases Greater Than 1)
1. Graph increasing exponential functions

Lesson 13: Using Transformations to Graph Exponential Functions (Bases Between 0 and 1)		1. Graph decreasing exponential functions Also consider: • Domain and range of exponential functions: equations
Lesson 13: Using Transformations to Graph Exponential Functions (Bases Between 0 and 1)
1. Graph decreasing exponential functions Also consider: • Domain and range of exponential functions: equations

Lesson 14: Writing Equations for Exponential Functions From Tables or Graphs		1. Write exponential functions from tables and graphs 2. Match exponential functions and graphs I Also consider: • Write linear and exponential functions from tables • Identify linear, quadratic, and exponential functions from tables
Lesson 14: Writing Equations for Exponential Functions From Tables or Graphs
1. Write exponential functions from tables and graphs 2. Match exponential functions and graphs I Also consider: • Write linear and exponential functions from tables • Identify linear, quadratic, and exponential functions from tables
Topic C - Exponential Growth and Decay
Lesson 15: Calculating Interest		1. Simple interest 2. Compound interest Also consider: • Identify linear and exponential functions from tables • Interpret the slope and y-intercept of a linear function
Lesson 15: Calculating Interest
1. Simple interest 2. Compound interest Also consider: • Identify linear and exponential functions from tables • Interpret the slope and y-intercept of a linear function

Lesson 16: Exponential Growth		1. Exponential growth: word problems
Lesson 16: Exponential Growth
1. Exponential growth: word problems

Lesson 17: Exponential Decay		1. Exponential decay: word problems Also consider: • Percent of change: word problems
Lesson 17: Exponential Decay
1. Exponential decay: word problems Also consider: • Percent of change: word problems

Lesson 18: Modeling Populations		1. Write exponential functions: word problems Also consider: • Exponential functions over unit intervals
Lesson 18: Modeling Populations
1. Write exponential functions: word problems Also consider: • Exponential functions over unit intervals

Lesson 19: Analyzing Exponential Growth		Also consider: • Rate of change of a linear function: tables
Lesson 19: Analyzing Exponential Growth
Also consider: • Rate of change of a linear function: tables

Lesson 20: Comparing Growth of Functions		1. Describe linear and exponential growth and decay 2. Compare linear, exponential, and quadratic growth
Lesson 20: Comparing Growth of Functions
1. Describe linear and exponential growth and decay 2. Compare linear, exponential, and quadratic growth
Topic D - Comparing Linear and Exponential Models
Lesson 21: World Population Prediction		1. Write linear and exponential functions: word problems
Lesson 21: World Population Prediction
1. Write linear and exponential functions: word problems

Lesson 22: A Closer Look at Populations		1. Exponential regression
Lesson 22: A Closer Look at Populations
1. Exponential regression

Lesson 23: Modeling the Temperature of Objects Cooling Over Time		1. Match exponential functions and graphs II
Lesson 23: Modeling the Temperature of Objects Cooling Over Time
1. Match exponential functions and graphs II

Lesson 24: Modeling an Invasive Species Population
Lesson 24: Modeling an Invasive Species Population


Checkpoint opportunity		Module 5 1. Checkpoint: Sequences 2. Checkpoint: Compare linear and exponential functions Modules 1–5 3. Checkpoint: Modeling with linear, quadratic, and exponential equations and inequalities 4. Checkpoint: Solve equations using graphs and tables 5. Checkpoint: Quadratic and exponential expressions 6. Checkpoint: Function transformations 7. Checkpoint: Analyze, interpret, and compare functions 8. Checkpoint: Average rate of change 9. Checkpoint: Graph and analyze functions 10. Checkpoint: Build functions 11. Checkpoint: Radicals and rational exponents
Checkpoint opportunity
Module 5 1. Checkpoint: Sequences 2. Checkpoint: Compare linear and exponential functions Modules 1–5 3. Checkpoint: Modeling with linear, quadratic, and exponential equations and inequalities 4. Checkpoint: Solve equations using graphs and tables 5. Checkpoint: Quadratic and exponential expressions 6. Checkpoint: Function transformations 7. Checkpoint: Analyze, interpret, and compare functions 8. Checkpoint: Average rate of change 9. Checkpoint: Graph and analyze functions 10. Checkpoint: Build functions 11. Checkpoint: Radicals and rational exponents

6	Module 6 Modeling with Functions
Topic A - Modeling Bivariate Quantitative Data
Lesson 1: Analyzing Paint Splatters
Lesson 1: Analyzing Paint Splatters


Lesson 2: Using Residual Plots to Select Models for Data		1. Match correlation coefficients to scatter plots
Lesson 2: Using Residual Plots to Select Models for Data
1. Match correlation coefficients to scatter plots

Lesson 3: Populations of US Cities
Lesson 3: Populations of US Cities

Topic B - Developing Models for Contexts
Lesson 4: The Deal		1. Write recursive formulas for arithmetic sequences: function notation 2. Write recursive formulas for geometric sequences: function notation
Lesson 4: The Deal
1. Write recursive formulas for arithmetic sequences: function notation 2. Write recursive formulas for geometric sequences: function notation

Lesson 5: Solar System Models		1. Scale drawings: word problems 2. Find the slope and intercepts from an equation Also consider: • Precision
Lesson 5: Solar System Models
1. Scale drawings: word problems 2. Find the slope and intercepts from an equation Also consider: • Precision

Lesson 6: Designing a Fundraiser		1. Linear programming
Lesson 6: Designing a Fundraiser
1. Linear programming

Lesson 7: World Record Doughnut		1. Rewrite and solve quadratic equations 2. Write a quadratic function in vertex form from its vertex and another point Also consider: • Solve rational equations
Lesson 7: World Record Doughnut
1. Rewrite and solve quadratic equations 2. Write a quadratic function in vertex form from its vertex and another point Also consider: • Solve rational equations

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