IXL skill plan | Algebra 1 plan for IM® K-12 Math

Skill plan for IM^® K-12 Math - Algebra 1

IXL provides skill alignments with recommended IXL skills for each unit. Find the IXL skills that are right for you below!

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1	Unit 1 One-Variable Statistics
Section A - Getting to Know You
Lesson 1: Getting to Know You		1. Identify statistical questions
Lesson 1: Getting to Know You
1. Identify statistical questions

Lesson 2: Data Representations		1. Create histograms 2. Box plots 3. Create line plots
Lesson 2: Data Representations
1. Create histograms 2. Box plots 3. Create line plots

Lesson 3: A Gallery of Data		1. Interpret histograms 2. Interpret line plots
Lesson 3: A Gallery of Data
1. Interpret histograms 2. Interpret line plots
Section B - Distribution Shapes
Lesson 4: The Shape of Distributions
Lesson 4: The Shape of Distributions


Lesson 5: Calculating Measures of Center and Variability		1. Mean, median, mode, and range 2. Calculate quartiles and interquartile range 3. Mean absolute deviation
Lesson 5: Calculating Measures of Center and Variability
1. Mean, median, mode, and range 2. Calculate quartiles and interquartile range 3. Mean absolute deviation
Section C - How to Use Spreadsheets
Lesson 6: Mystery Computations Lesson 7: Spreadsheet Computations Lesson 8: Spreadsheet Shortcuts
Lesson 6: Mystery Computations Lesson 7: Spreadsheet Computations Lesson 8: Spreadsheet Shortcuts

Section D - Manipulating Data
Lesson 9: Technological Graphing		1. Interpret stem-and-leaf plots
Lesson 9: Technological Graphing
1. Interpret stem-and-leaf plots

Lesson 10: The Effect of Extremes Lesson 11: Comparing and Contrasting Data Distributions		1. Choose appropriate measures of center and variation Also consider: • Interpret mean and mean absolute deviation
Lesson 10: The Effect of Extremes Lesson 11: Comparing and Contrasting Data Distributions
1. Choose appropriate measures of center and variation Also consider: • Interpret mean and mean absolute deviation

Lesson 12: Standard Deviation Lesson 13: More Standard Deviation		1. Variance and standard deviation
Lesson 12: Standard Deviation Lesson 13: More Standard Deviation
1. Variance and standard deviation

Lesson 14: Outliers		1. Identify an outlier 2. Identify an outlier and describe the effect of removing it
Lesson 14: Outliers
1. Identify an outlier 2. Identify an outlier and describe the effect of removing it

Lesson 15: Comparing Data Sets
Lesson 15: Comparing Data Sets

Section E - Analyzing Data
Lesson 16: Analyzing Data
Lesson 16: Analyzing Data


Checkpoint opportunity		1. Checkpoint: Line plots, histograms, and box plots 2. Checkpoint: Compare data sets
Checkpoint opportunity
1. Checkpoint: Line plots, histograms, and box plots 2. Checkpoint: Compare data sets

2	Unit 2 Linear Equations, Inequalities, and Systems
Section A - Writing and Modeling with Equations
Lesson 1: Planning a Pizza Party		1. Write variable expressions 2. Write variable expressions: word problems
Lesson 1: Planning a Pizza Party
1. Write variable expressions 2. Write variable expressions: word problems

Lesson 2: Writing Equations to Model Relationships (Part 1) Lesson 3: Writing Equations to Model Relationships (Part 2)		1. Write variable equations Also consider: • Write and solve linear equations that represent diagrams • Write direct variation equations
Lesson 2: Writing Equations to Model Relationships (Part 1) Lesson 3: Writing Equations to Model Relationships (Part 2)
1. Write variable equations Also consider: • Write and solve linear equations that represent diagrams • Write direct variation equations

Lesson 4: Equations and Their Solutions		1. Which x satisfies an equation? 2. Does (x, y) satisfy the linear equation? Also consider: • Solve two-step linear equations • Solve one-step and two-step linear equations: word problems
Lesson 4: Equations and Their Solutions
1. Which x satisfies an equation? 2. Does (x, y) satisfy the linear equation? Also consider: • Solve two-step linear equations • Solve one-step and two-step linear equations: word problems

Lesson 5: Equations and Their Graphs		1. Relate the graph of a linear equation to its solutions Also consider: • Compare linear functions: graphs and equations
Lesson 5: Equations and Their Graphs
1. Relate the graph of a linear equation to its solutions Also consider: • Compare linear functions: graphs and equations
Section B - Manipulating Equations and Understanding Their Structure
Lesson 6: Equivalent Equations		1. Identify equivalent equations Also consider: • Identify equivalent linear expressions • Simplify linear expressions using properties • Properties of equality
Lesson 6: Equivalent Equations
1. Identify equivalent equations Also consider: • Identify equivalent linear expressions • Simplify linear expressions using properties • Properties of equality

Lesson 7: Explaining Steps for Rewriting Equations		1. Solve linear equations: complete the solution 2. Solve linear equations with variables on both sides 3. Find the number of solutions to a linear equation Also consider: • Solve linear equations: mixed review • Create linear equations with no solutions or infinitely many solutions
Lesson 7: Explaining Steps for Rewriting Equations
1. Solve linear equations: complete the solution 2. Solve linear equations with variables on both sides 3. Find the number of solutions to a linear equation Also consider: • Solve linear equations: mixed review • Create linear equations with no solutions or infinitely many solutions

Lesson 8: Which Variable to Solve for? (Part 1) Lesson 9: Which Variable to Solve for? (Part 2)		1. Rearrange multi-variable equations
Lesson 8: Which Variable to Solve for? (Part 1) Lesson 9: Which Variable to Solve for? (Part 2)
1. Rearrange multi-variable equations

Lesson 10: Connecting Equations to Graphs (Part 1)		1. Find the slope of a graph 2. Standard form: graph a line from an equation Also consider: • Find the slope from two points • Find the slope from a table • Slope-intercept form: graph an equation • Write a linear function: word problems • Write linear equations in standard form
Lesson 10: Connecting Equations to Graphs (Part 1)
1. Find the slope of a graph 2. Standard form: graph a line from an equation Also consider: • Find the slope from two points • Find the slope from a table • Slope-intercept form: graph an equation • Write a linear function: word problems • Write linear equations in standard form

Lesson 11: Connecting Equations to Graphs (Part 2)		1. Linear equations: solve for y 2. Standard form: find x- and y-intercepts 3. Slope-intercept form: find the slope and y-intercept Also consider: • Find a missing coordinate using slope • Slope-intercept form: write an equation from a graph • Slope-intercept form: write an equation • Slope-intercept form: write an equation from a table
Lesson 11: Connecting Equations to Graphs (Part 2)
1. Linear equations: solve for y 2. Standard form: find x- and y-intercepts 3. Slope-intercept form: find the slope and y-intercept Also consider: • Find a missing coordinate using slope • Slope-intercept form: write an equation from a graph • Slope-intercept form: write an equation • Slope-intercept form: write an equation from a table
Section C - Systems of Linear Equations in Two Variables
Lesson 12: Writing and Graphing Systems of Linear Equations		1. Is (x, y) a solution to the system of equations? 2. Solve a system of equations by graphing 3. Solve a system of equations by graphing: word problems Also consider: • Write a system of equations given a graph
Lesson 12: Writing and Graphing Systems of Linear Equations
1. Is (x, y) a solution to the system of equations? 2. Solve a system of equations by graphing 3. Solve a system of equations by graphing: word problems Also consider: • Write a system of equations given a graph

Lesson 13: Solving Systems by Substitution		1. Solve a system of equations using substitution Also consider: • Solve a system of equations using substitution: word problems
Lesson 13: Solving Systems by Substitution
1. Solve a system of equations using substitution Also consider: • Solve a system of equations using substitution: word problems

Lesson 14: Solving Systems by Elimination (Part 1)		1. Solve a system of equations by adding or subtracting
Lesson 14: Solving Systems by Elimination (Part 1)
1. Solve a system of equations by adding or subtracting

Lesson 15: Solving Systems by Elimination (Part 2) Lesson 16: Solving Systems by Elimination (Part 3)		1. Solve a system of equations using elimination 2. Solve a system of equations using elimination: word problems Also consider: • Solve a system of equations using any method • Solve a system of equations using any method: word problems
Lesson 15: Solving Systems by Elimination (Part 2) Lesson 16: Solving Systems by Elimination (Part 3)
1. Solve a system of equations using elimination 2. Solve a system of equations using elimination: word problems Also consider: • Solve a system of equations using any method • Solve a system of equations using any method: word problems

Lesson 17: Systems of Linear Equations and Their Solutions		1. Find the number of solutions to a system of equations by graphing 2. Find the number of solutions to a system of equations Also consider: • Classify a system of equations by graphing • Classify a system of equations
Lesson 17: Systems of Linear Equations and Their Solutions
1. Find the number of solutions to a system of equations by graphing 2. Find the number of solutions to a system of equations Also consider: • Classify a system of equations by graphing • Classify a system of equations
Section D - Linear Inequalities in One Variable
Lesson 18: Representing Situations with Inequalities		1. Identify solutions to inequalities Also consider: • Graph inequalities • Write inequalities from graphs
Lesson 18: Representing Situations with Inequalities
1. Identify solutions to inequalities Also consider: • Graph inequalities • Write inequalities from graphs

Lesson 19: Solutions to Inequalities in One Variable		1. Solve advanced linear inequalities 2. Graph solutions to advanced linear inequalities Also consider: • Solve two-step linear inequalities • Graph solutions to two-step linear inequalities • Graph compound inequalities • Write compound inequalities from graphs
Lesson 19: Solutions to Inequalities in One Variable
1. Solve advanced linear inequalities 2. Graph solutions to advanced linear inequalities Also consider: • Solve two-step linear inequalities • Graph solutions to two-step linear inequalities • Graph compound inequalities • Write compound inequalities from graphs

Lesson 20: Writing and Solving Inequalities in One Variable
Lesson 20: Writing and Solving Inequalities in One Variable

Section E - Linear Inequalities in Two Variables
Lesson 21: Graphing Linear Inequalities in Two Variables (Part 1) Lesson 22: Graphing Linear Inequalities in Two Variables (Part 2)		1. Does (x, y) satisfy the inequality? 2. Graph a two-variable linear inequality Also consider: • Linear inequalities: solve for y
Lesson 21: Graphing Linear Inequalities in Two Variables (Part 1) Lesson 22: Graphing Linear Inequalities in Two Variables (Part 2)
1. Does (x, y) satisfy the inequality? 2. Graph a two-variable linear inequality Also consider: • Linear inequalities: solve for y

Lesson 23: Solving Problems with Inequalities in Two Variables		1. Write two-variable inequalities: word problems
Lesson 23: Solving Problems with Inequalities in Two Variables
1. Write two-variable inequalities: word problems
Section F - Systems of Linear Inequalities in Two Variables
Lesson 24: Solutions to Systems of Linear Inequalities in Two Variables Lesson 25: Solving Problems with Systems of Linear Inequalities in Two Variables Lesson 26: Modeling with Systems of Inequalities in Two Variables		1. Solve systems of linear inequalities by graphing Also consider: • Is (x, y) a solution to the system of linear inequalities?
Lesson 24: Solutions to Systems of Linear Inequalities in Two Variables Lesson 25: Solving Problems with Systems of Linear Inequalities in Two Variables Lesson 26: Modeling with Systems of Inequalities in Two Variables
1. Solve systems of linear inequalities by graphing Also consider: • Is (x, y) a solution to the system of linear inequalities?

Checkpoint opportunity		1. Checkpoint: Solve linear equations and inequalities 2. Checkpoint: Systems of equations and inequalities 3. Checkpoint: Modeling with linear equations and inequalities
Checkpoint opportunity
1. Checkpoint: Solve linear equations and inequalities 2. Checkpoint: Systems of equations and inequalities 3. Checkpoint: Modeling with linear equations and inequalities

3	Unit 3 Two-Variable Statistics
Section A - Two-Way Tables
Lesson 1: Two-Way Tables
Lesson 1: Two-Way Tables


Lesson 2: Relative Frequency Tables		1. Find probabilities using two-way frequency tables 2. Find conditional probabilities using two-way frequency tables
Lesson 2: Relative Frequency Tables
1. Find probabilities using two-way frequency tables 2. Find conditional probabilities using two-way frequency tables

Lesson 3: Associations in Categorical Data
Lesson 3: Associations in Categorical Data

Section B - Scatter Plots
Lesson 4: Linear Models		1. Interpret lines of best fit: word problems Also consider: • Write equations for lines of best fit • Interpret a scatter plot • Outliers in scatter plots
Lesson 4: Linear Models
1. Interpret lines of best fit: word problems Also consider: • Write equations for lines of best fit • Interpret a scatter plot • Outliers in scatter plots

Lesson 5: Fitting Lines		1. Interpret regression lines 2. Analyze a regression line of a data set Also consider: • Find the equation of a regression line
Lesson 5: Fitting Lines
1. Interpret regression lines 2. Analyze a regression line of a data set Also consider: • Find the equation of a regression line

Lesson 6: Residuals
Lesson 6: Residuals

Section C - Correlation Coefficients
Lesson 7: The Correlation Coefficient		1. Match correlation coefficients to scatter plots
Lesson 7: The Correlation Coefficient
1. Match correlation coefficients to scatter plots

Lesson 8: Using the Correlation Coefficient		1. Calculate correlation coefficients
Lesson 8: Using the Correlation Coefficient
1. Calculate correlation coefficients

Lesson 9: Causal Relationships		1. Correlation and causation
Lesson 9: Causal Relationships
1. Correlation and causation
Section D - Estimating Lengths
Lesson 10: Fossils and Flags
Lesson 10: Fossils and Flags


Checkpoint opportunity		1. Checkpoint: Two-way frequency tables 2. Checkpoint: Linear modeling
Checkpoint opportunity
1. Checkpoint: Two-way frequency tables 2. Checkpoint: Linear modeling

4	Unit 4 Functions
Section A - Functions and Their Representations
Lesson 1: Describing and Graphing Situations		1. Identify independent and dependent variables 2. Identify functions: lists, tables, or discrete graphs Also consider: • Identify functions: vertical line test
Lesson 1: Describing and Graphing Situations
1. Identify independent and dependent variables 2. Identify functions: lists, tables, or discrete graphs Also consider: • Identify functions: vertical line test

Lesson 2: Function Notation		1. Interpret functions using everyday language Also consider: • Evaluate a function
Lesson 2: Function Notation
1. Interpret functions using everyday language Also consider: • Evaluate a function

Lesson 3: Interpreting & Using Function Notation		1. Evaluate a linear function from its graph: word problems
Lesson 3: Interpreting & Using Function Notation
1. Evaluate a linear function from its graph: word problems

Lesson 4: Using Function Notation to Describe Rules (Part 1)		1. Complete a function table from an equation 2. Complete a table and graph a linear function Also consider: • Complete a function table from a graph
Lesson 4: Using Function Notation to Describe Rules (Part 1)
1. Complete a function table from an equation 2. Complete a table and graph a linear function Also consider: • Complete a function table from a graph

Lesson 5: Using Function Notation to Describe Rules (Part 2)		1. Find values using function graphs
Lesson 5: Using Function Notation to Describe Rules (Part 2)
1. Find values using function graphs
Section B - Analyzing and Creating Graphs of Functions
Lesson 6: Features of Graphs
Lesson 6: Features of Graphs


Lesson 7: Using Graphs to Find Average Rate of Change		1. Rate of change: graphs
Lesson 7: Using Graphs to Find Average Rate of Change
1. Rate of change: graphs

Lesson 8: Interpreting and Creating Graphs		1. Interpret the slope and y-intercept of a linear function 2. Identify graphs: word problems
Lesson 8: Interpreting and Creating Graphs
1. Interpret the slope and y-intercept of a linear function 2. Identify graphs: word problems

Lesson 9: Comparing Graphs		1. Compare linear functions: tables, graphs, and equations
Lesson 9: Comparing Graphs
1. Compare linear functions: tables, graphs, and equations
Section C - A Closer Look at Inputs and Outputs
Lesson 10: Domain and Range (Part 1)		1. Domain and range of linear functions: word problems
Lesson 10: Domain and Range (Part 1)
1. Domain and range of linear functions: word problems

Lesson 11: Domain and Range (Part 2)		1. Domain and range of relations Also consider: • Domain and range of exponential functions: graphs • Domain and range of absolute value functions: graphs • Domain and range of square root functions: graphs
Lesson 11: Domain and Range (Part 2)
1. Domain and range of relations Also consider: • Domain and range of exponential functions: graphs • Domain and range of absolute value functions: graphs • Domain and range of square root functions: graphs

Lesson 12: Piecewise Functions		1. Graph piecewise-defined functions Also consider: • Evaluate piecewise-defined functions
Lesson 12: Piecewise Functions
1. Graph piecewise-defined functions Also consider: • Evaluate piecewise-defined functions

Lesson 13: Absolute Value Functions (Part 1) Lesson 14: Absolute Value Functions (Part 2)		1. Graph an absolute value function 2. Transformations of absolute value functions: translations and reflections Also consider: • Complete a function table: absolute value functions • Domain and range of absolute value functions: equations
Lesson 13: Absolute Value Functions (Part 1) Lesson 14: Absolute Value Functions (Part 2)
1. Graph an absolute value function 2. Transformations of absolute value functions: translations and reflections Also consider: • Complete a function table: absolute value functions • Domain and range of absolute value functions: equations
Section D - Inverse Functions
Lesson 15: Inverse Functions Lesson 16: Finding and Interpreting Inverse Functions Lesson 17: Writing Inverse Functions to Solve Problems		1. Find values of inverse functions from graphs 2. Find the inverse of a linear function
Lesson 15: Inverse Functions Lesson 16: Finding and Interpreting Inverse Functions Lesson 17: Writing Inverse Functions to Solve Problems
1. Find values of inverse functions from graphs 2. Find the inverse of a linear function
Section E - Putting It All Together
Lesson 18: Using Functions to Model Battery Power
Lesson 18: Using Functions to Model Battery Power


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

5	Unit 5 Introduction to Exponential Functions
Section A - Looking at Growth
Lesson 1: Growing and Growing Lesson 2: Patterns of Growth		1. Number sequences Also consider: • Powers with integer bases
Lesson 1: Growing and Growing Lesson 2: Patterns of Growth
1. Number sequences Also consider: • Powers with integer bases
Section B - A New Kind of Relationship
Lesson 3: Representing Exponential Growth		1. Graph increasing exponential functions 2. Exponential growth: word problems Also consider: • Multiplication rule for exponents • Evaluate expressions using exponent rules
Lesson 3: Representing Exponential Growth
1. Graph increasing exponential functions 2. Exponential growth: word problems Also consider: • Multiplication rule for exponents • Evaluate expressions using exponent rules

Lesson 4: Understanding Decay		1. Write linear and exponential functions from tables 2. Exponential decay: word problems Also consider: • Write variable expressions for arithmetic and geometric sequences
Lesson 4: Understanding Decay
1. Write linear and exponential functions from tables 2. Exponential decay: word problems Also consider: • Write variable expressions for arithmetic and geometric sequences

Lesson 5: Representing Exponential Decay		1. Graph decreasing exponential functions
Lesson 5: Representing Exponential Decay
1. Graph decreasing exponential functions

Lesson 6: Analyzing Graphs		1. Identify linear and exponential functions from graphs
Lesson 6: Analyzing Graphs
1. Identify linear and exponential functions from graphs

Lesson 7: Using Negative Exponents		1. Negative exponents Also consider: • Division rule for exponents • Identify equivalent exponential expressions I
Lesson 7: Using Negative Exponents
1. Negative exponents Also consider: • Division rule for exponents • Identify equivalent exponential expressions I
Section C - Exponential Functions
Lesson 8: Exponential Situations as Functions Lesson 9: Interpreting Exponential Functions		1. Evaluate an exponential function 2. Write exponential functions: word problems
Lesson 8: Exponential Situations as Functions Lesson 9: Interpreting Exponential Functions
1. Evaluate an exponential function 2. Write exponential functions: word problems

Lesson 10: Looking at Rates of Change		1. Rate of change: tables
Lesson 10: Looking at Rates of Change
1. Rate of change: tables

Lesson 11: Modeling Exponential Behavior		1. Exponential regression
Lesson 11: Modeling Exponential Behavior
1. Exponential regression

Lesson 12: Reasoning About Exponential Graphs (Part 1) Lesson 13: Reasoning About Exponential Graphs (Part 2)		1. Match exponential functions and graphs I 2. Match exponential functions and graphs II Also consider: • Domain and range of exponential functions: equations
Lesson 12: Reasoning About Exponential Graphs (Part 1) Lesson 13: Reasoning About Exponential Graphs (Part 2)
1. Match exponential functions and graphs I 2. Match exponential functions and graphs II Also consider: • Domain and range of exponential functions: equations
Section D - Percent Growth and Decay
Lesson 14: Recalling Percent Change		1. Percent of change: find the original amount word problems 2. Percent of a number: tax, discount, and more Also consider: • Percent word problems • Find the percent: tax, discount, and more
Lesson 14: Recalling Percent Change
1. Percent of change: find the original amount word problems 2. Percent of a number: tax, discount, and more Also consider: • Percent word problems • Find the percent: tax, discount, and more

Lesson 15: Functions Involving Percent Change		1. Multi-step problems with percents Also consider: • Simple interest
Lesson 15: Functions Involving Percent Change
1. Multi-step problems with percents Also consider: • Simple interest

Lesson 16: Compounding Interest Lesson 17: Different Compounding Intervals		1. Compound interest 2. Compound interest: word problems
Lesson 16: Compounding Interest Lesson 17: Different Compounding Intervals
1. Compound interest 2. Compound interest: word problems

Lesson 18: Expressed in Different Ways		1. Percent of change: word problems Also consider: • Percent of change • Power rule for exponents
Lesson 18: Expressed in Different Ways
1. Percent of change: word problems Also consider: • Percent of change • Power rule for exponents
Section E - Comparing Linear and Exponential Functions
Lesson 19: Which One Changes Faster?		1. Write linear and exponential functions: word problems 2. Describe linear and exponential growth and decay 3. Compare linear and exponential growth
Lesson 19: Which One Changes Faster?
1. Write linear and exponential functions: word problems 2. Describe linear and exponential growth and decay 3. Compare linear and exponential growth

Lesson 20: Changes over Equal Intervals		1. Linear functions over unit intervals 2. Exponential functions over unit intervals
Lesson 20: Changes over Equal Intervals
1. Linear functions over unit intervals 2. Exponential functions over unit intervals
Section F - Putting It All Together
Lesson 21: Predicting Populations
Lesson 21: Predicting Populations


Checkpoint opportunity		1. Checkpoint: Average rate of change 2. Checkpoint: Compare linear and exponential functions
Checkpoint opportunity
1. Checkpoint: Average rate of change 2. Checkpoint: Compare linear and exponential functions

6	Unit 6 Introduction to Quadratic Functions
Section A - A Different Kind of Change
Lesson 1: A Different Kind of Change Lesson 2: How Does It Change?		1. Identify linear, quadratic, and exponential functions from graphs 2. Identify linear, quadratic, and exponential functions from tables
Lesson 1: A Different Kind of Change Lesson 2: How Does It Change?
1. Identify linear, quadratic, and exponential functions from graphs 2. Identify linear, quadratic, and exponential functions from tables
Section B - Quadratic Functions
Lesson 3: Building Quadratic Functions from Geometric Patterns
Lesson 3: Building Quadratic Functions from Geometric Patterns


Lesson 4: Comparing Quadratic and Exponential Functions		1. Compare linear, exponential, and quadratic growth Also consider: • Write linear, quadratic, and exponential functions from tables
Lesson 4: Comparing Quadratic and Exponential Functions
1. Compare linear, exponential, and quadratic growth Also consider: • Write linear, quadratic, and exponential functions from tables

Lesson 5: Building Quadratic Functions to Describe Situations (Part 1) Lesson 6: Building Quadratic Functions to Describe Situations (Part 2) Lesson 7: Building Quadratic Functions to Describe Situations (Part 3)		1. Interpret parts of quadratic expressions: word problems 2. Domain and range of quadratic functions: graphs Also consider: • Complete a function table: quadratic functions
Lesson 5: Building Quadratic Functions to Describe Situations (Part 1) Lesson 6: Building Quadratic Functions to Describe Situations (Part 2) Lesson 7: Building Quadratic Functions to Describe Situations (Part 3)
1. Interpret parts of quadratic expressions: word problems 2. Domain and range of quadratic functions: graphs Also consider: • Complete a function table: quadratic functions
Section C - Working with Quadratic Expressions
Lesson 8: Equivalent Quadratic Expressions		1. Multiply polynomials using area models 2. Multiply two binomials Also consider: • Multiply using the distributive property • Multiply two binomials using algebra tiles
Lesson 8: Equivalent Quadratic Expressions
1. Multiply polynomials using area models 2. Multiply two binomials Also consider: • Multiply using the distributive property • Multiply two binomials using algebra tiles

Lesson 9: Standard Form and Factored Form Lesson 10: Graphs of Functions in Standard and Factored Forms		1. Use zeros to match quadratic functions and graphs Also consider: • Characteristics of quadratic functions: equations • Write a quadratic function from its zeros • Multiply two binomials: special cases
Lesson 9: Standard Form and Factored Form Lesson 10: Graphs of Functions in Standard and Factored Forms
1. Use zeros to match quadratic functions and graphs Also consider: • Characteristics of quadratic functions: equations • Write a quadratic function from its zeros • Multiply two binomials: special cases
Section D - Features of Graphs of Quadratic Functions
Lesson 11: Graphing from the Factored Form Lesson 12: Graphing the Standard Form (Part 1) Lesson 13: Graphing the Standard Form (Part 2)		1. Graph quadratic functions in standard form 2. Match quadratic functions and graphs Also consider: • Characteristics of quadratic functions: graphs
Lesson 11: Graphing from the Factored Form Lesson 12: Graphing the Standard Form (Part 1) Lesson 13: Graphing the Standard Form (Part 2)
1. Graph quadratic functions in standard form 2. Match quadratic functions and graphs Also consider: • Characteristics of quadratic functions: graphs

Lesson 14: Graphs That Represent Situations
Lesson 14: Graphs That Represent Situations


Lesson 15: Vertex Form Lesson 16: Graphing from the Vertex Form Lesson 17: Changing the Vertex		1. Graph quadratic functions in vertex form 2. Transformations of quadratic functions
Lesson 15: Vertex Form Lesson 16: Graphing from the Vertex Form Lesson 17: Changing the Vertex
1. Graph quadratic functions in vertex form 2. Transformations of quadratic functions

Checkpoint opportunity		1. Checkpoint: Quadratic functions
Checkpoint opportunity
1. Checkpoint: Quadratic functions

7	Unit 7 Quadratic Equations
Section A - Finding Unknown Inputs
Lesson 1: Finding Unknown Inputs Lesson 2: When and Why Do We Write Quadratic Equations?
Lesson 1: Finding Unknown Inputs Lesson 2: When and Why Do We Write Quadratic Equations?

Section B - Solving Quadratic Equations
Lesson 3: Solving Quadratic Equations by Reasoning		1. Solve a quadratic equation using square roots
Lesson 3: Solving Quadratic Equations by Reasoning
1. Solve a quadratic equation using square roots

Lesson 4: Solving Quadratic Equations with the Zero Product Property		1. Solve a quadratic equation using the zero product property
Lesson 4: Solving Quadratic Equations with the Zero Product Property
1. Solve a quadratic equation using the zero product property

Lesson 5: How Many Solutions?
Lesson 5: How Many Solutions?


Lesson 6: Rewriting Quadratic Expressions in Factored Form (Part 1) Lesson 7: Rewriting Quadratic Expressions in Factored Form (Part 2)		1. Factor quadratics with leading coefficient 1 Also consider: • Factor quadratics using algebra tiles
Lesson 6: Rewriting Quadratic Expressions in Factored Form (Part 1) Lesson 7: Rewriting Quadratic Expressions in Factored Form (Part 2)
1. Factor quadratics with leading coefficient 1 Also consider: • Factor quadratics using algebra tiles

Lesson 8: Rewriting Quadratic Expressions in Factored Form (Part 3)		1. Factor quadratics: special cases
Lesson 8: Rewriting Quadratic Expressions in Factored Form (Part 3)
1. Factor quadratics: special cases

Lesson 9: Solving Quadratic Equations by Using Factored Form		1. Solve quadratic equations by factoring: leading coefficient 1
Lesson 9: Solving Quadratic Equations by Using Factored Form
1. Solve quadratic equations by factoring: leading coefficient 1

Lesson 10: Rewriting Quadratic Expressions in Factored Form (Part 4)		1. Factor quadratics with other leading coefficients 2. Solve quadratic equations by factoring: other leading coefficients Also consider: • Factor by grouping • Factor using a quadratic pattern • Solve quadratic equations by factoring: differences of squares
Lesson 10: Rewriting Quadratic Expressions in Factored Form (Part 4)
1. Factor quadratics with other leading coefficients 2. Solve quadratic equations by factoring: other leading coefficients Also consider: • Factor by grouping • Factor using a quadratic pattern • Solve quadratic equations by factoring: differences of squares
Section C - Completing the Square
Lesson 11: What Are Perfect Squares?		1. Factor quadratics: perfect squares 2. Solve quadratic equations by factoring: perfect squares
Lesson 11: What Are Perfect Squares?
1. Factor quadratics: perfect squares 2. Solve quadratic equations by factoring: perfect squares

Lesson 12: Completing the Square (Part 1) Lesson 13: Completing the Square (Part 2)		1. Complete the square 2. Solve a quadratic equation by completing the square: leading coefficient 1
Lesson 12: Completing the Square (Part 1) Lesson 13: Completing the Square (Part 2)
1. Complete the square 2. Solve a quadratic equation by completing the square: leading coefficient 1

Lesson 14: Completing the Square (Part 3)		1. Solve a quadratic equation by completing the square: other leading coefficients
Lesson 14: Completing the Square (Part 3)
1. Solve a quadratic equation by completing the square: other leading coefficients

Lesson 15: Quadratic Equations with Irrational Solutions
Lesson 15: Quadratic Equations with Irrational Solutions

Section D - The Quadratic Formula
Lesson 16: The Quadratic Formula		1. Solve a quadratic equation using the quadratic formula
Lesson 16: The Quadratic Formula
1. Solve a quadratic equation using the quadratic formula

Lesson 17: Applying the Quadratic Formula (Part 1) Lesson 18: Applying the Quadratic Formula (Part 2)		1. Solve quadratic equations: word problems Also consider: • Using the discriminant
Lesson 17: Applying the Quadratic Formula (Part 1) Lesson 18: Applying the Quadratic Formula (Part 2)
1. Solve quadratic equations: word problems Also consider: • Using the discriminant

Lesson 19: Deriving the Quadratic Formula
Lesson 19: Deriving the Quadratic Formula


Lesson 20: Rational and Irrational Solutions Lesson 21: Sums and Products of Rational and Irrational Numbers		1. Identify rational and irrational square roots 2. Properties of operations on rational and irrational numbers Also consider: • Sort rational and irrational numbers • Classify rational and irrational numbers
Lesson 20: Rational and Irrational Solutions Lesson 21: Sums and Products of Rational and Irrational Numbers
1. Identify rational and irrational square roots 2. Properties of operations on rational and irrational numbers Also consider: • Sort rational and irrational numbers • Classify rational and irrational numbers
Section E - Vertex Form Revisited
Lesson 22: Rewriting Quadratic Expressions in Vertex Form		1. Write a quadratic function in vertex form Also consider: • Write a quadratic function in vertex form from its vertex and another point • Domain and range of quadratic functions: equations
Lesson 22: Rewriting Quadratic Expressions in Vertex Form
1. Write a quadratic function in vertex form Also consider: • Write a quadratic function in vertex form from its vertex and another point • Domain and range of quadratic functions: equations

Lesson 23: Using Quadratic Expressions in Vertex Form to Solve Problems
Lesson 23: Using Quadratic Expressions in Vertex Form to Solve Problems

Section F - Putting It All Together
Lesson 24: Using Quadratic Equations to Model Situations and Solve Problems		1. Solve a system of linear and quadratic equations by graphing Also consider: • Solve a system of linear and quadratic equations
Lesson 24: Using Quadratic Equations to Model Situations and Solve Problems
1. Solve a system of linear and quadratic equations by graphing Also consider: • Solve a system of linear and quadratic equations

Checkpoint opportunity		1. Checkpoint: Quadratic equations 2. Checkpoint: Graph and analyze functions 3. Checkpoint: Write and interpret equivalent expressions
Checkpoint opportunity
1. Checkpoint: Quadratic equations 2. Checkpoint: Graph and analyze functions 3. Checkpoint: Write and interpret equivalent expressions

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