IXL skill plan | Algebra 1 plan for EngageNY Math

Skill plan for EngageNY Math - Algebra 1

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

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1	Module 1 Relationships Between Quantities and Reasoning with Equations and Their Graphs
Topic A - Introduction to Functions Studied this Year – Graphing Stories
Lesson 1: Graphs of Piecewise Linear Functions		1. Identify graphs: word problems
Lesson 1: Graphs of Piecewise Linear Functions
1. Identify graphs: word problems

Lesson 2: Graphs of Quadratic Functions
Lesson 2: Graphs of Quadratic Functions


Lesson 3: Graphs of Exponential Functions		1. Identify linear, quadratic, and exponential functions from graphs
Lesson 3: Graphs of Exponential Functions
1. Identify linear, quadratic, and exponential functions from graphs

Lesson 4: Analyzing Graphs – Water Usage During a Typical Day at School		1. Evaluate a linear function from its graph: word problems
Lesson 4: Analyzing Graphs – Water Usage During a Typical Day at School
1. Evaluate a linear function from its graph: word problems

Lesson 5: Two Graphing Stories		1. Solve a system of equations by graphing: word problems Also consider: • Write a system of equations given a graph
Lesson 5: Two Graphing Stories
1. Solve a system of equations by graphing: word problems Also consider: • Write a system of equations given a graph
Topic B - The Structure of Expressions
Lesson 6: Algebraic Expressions – The Distributive Property		1. Distributive property 2. Identify equivalent linear expressions
Lesson 6: Algebraic Expressions – The Distributive Property
1. Distributive property 2. Identify equivalent linear expressions

Lesson 7: Algebraic Expressions – The Commutative and Associative Properties		1. Properties of addition and multiplication 2. Simplify linear expressions using properties
Lesson 7: Algebraic Expressions – The Commutative and Associative Properties
1. Properties of addition and multiplication 2. Simplify linear expressions using properties

Lesson 8: Adding and Subtracting Polynomials		1. Polynomial vocabulary 2. Add and subtract polynomials Also consider: • Identify monomials
Lesson 8: Adding and Subtracting Polynomials
1. Polynomial vocabulary 2. Add and subtract polynomials Also consider: • Identify monomials

Lesson 9: Multiplying Polynomials		1. Multiply polynomials using area models 2. Multiply polynomials
Lesson 9: Multiplying Polynomials
1. Multiply polynomials using area models 2. Multiply polynomials
Topic C - Solving Equations and Inequalities
Lesson 10: True and False Equations		1. Identify equivalent equations Also consider: • Does x satisfy the equation?
Lesson 10: True and False Equations
1. Identify equivalent equations Also consider: • Does x satisfy the equation?

Lesson 11: Solution Sets for Equations and Inequalities		1. Which x satisfies an equation? 2. Write inequalities from graphs 3. Identify solutions to inequalities 4. Set-builder notation Also consider: • Graph inequalities • Solve one-step linear inequalities
Lesson 11: Solution Sets for Equations and Inequalities
1. Which x satisfies an equation? 2. Write inequalities from graphs 3. Identify solutions to inequalities 4. Set-builder notation Also consider: • Graph inequalities • Solve one-step linear inequalities

Lesson 12: Solving Equations		1. Solve linear equations with variables on one side 2. Solve linear equations with variables on both sides 3. Find the number of solutions to a linear equation Also consider: • Properties of equality
Lesson 12: Solving Equations
1. Solve linear equations with variables on one side 2. Solve linear equations with variables on both sides 3. Find the number of solutions to a linear equation Also consider: • Properties of equality

Lesson 13: Some Potential Dangers when Solving Equations		1. Solve linear equations: complete the solution Also consider: • Create linear equations with no solutions or infinitely many solutions
Lesson 13: Some Potential Dangers when Solving Equations
1. Solve linear equations: complete the solution Also consider: • Create linear equations with no solutions or infinitely many solutions

Lesson 14: Solving Inequalities		1. Graph solutions to advanced linear inequalities Also consider: • Solve advanced linear inequalities
Lesson 14: Solving Inequalities
1. Graph solutions to advanced linear inequalities Also consider: • Solve advanced linear inequalities

Lesson 15: Solution Sets of Two or More Equations (or Inequalities) Joined by "And" or "Or"		1. Graph compound inequalities 2. Write compound inequalities from graphs
Lesson 15: Solution Sets of Two or More Equations (or Inequalities) Joined by "And" or "Or"
1. Graph compound inequalities 2. Write compound inequalities from graphs

Lesson 16: Solving and Graphing Inequalities Joined by "And" or "Or"		1. Solve compound inequalities 2. Graph solutions to compound inequalities
Lesson 16: Solving and Graphing Inequalities Joined by "And" or "Or"
1. Solve compound inequalities 2. Graph solutions to compound inequalities

Lesson 17: Equations Involving Factored Expressions		1. Solve a quadratic equation using the zero product property
Lesson 17: Equations Involving Factored Expressions
1. Solve a quadratic equation using the zero product property

Lesson 18: Equations Involving a Variable Expression in the Denominator		1. Solve rational equations with one solution
Lesson 18: Equations Involving a Variable Expression in the Denominator
1. Solve rational equations with one solution

Lesson 19: Rearranging Formulas		1. Rearrange multi-variable equations
Lesson 19: Rearranging Formulas
1. Rearrange multi-variable equations

Lesson 20: Solution Sets to Equations with Two Variables		1. Does (x, y) satisfy the linear equation? 2. Relate the graph of a linear equation to its solutions
Lesson 20: Solution Sets to Equations with Two Variables
1. Does (x, y) satisfy the linear equation? 2. Relate the graph of a linear equation to its solutions

Lesson 21: Solution Sets to Inequalities with Two Variables		1. Does (x, y) satisfy the inequality? 2. Graph a two-variable linear inequality 3. Write two-variable inequalities: word problems Also consider: • Write a linear inequality from a graph • Linear inequalities: solve for y
Lesson 21: Solution Sets to Inequalities with Two Variables
1. Does (x, y) satisfy the inequality? 2. Graph a two-variable linear inequality 3. Write two-variable inequalities: word problems Also consider: • Write a linear inequality from a graph • Linear inequalities: solve for y

Lesson 22: Solution Sets to Simultaneous Equations		1. Solve a system of equations by graphing 2. Solve a system of equations using substitution 3. Solve systems of linear inequalities by graphing 4. Find the number of solutions to a system of equations Also consider: • Is (x, y) a solution to the system of equations? • Is (x, y) a solution to the system of linear inequalities? • Find the number of solutions to a system of equations by graphing
Lesson 22: Solution Sets to Simultaneous Equations
1. Solve a system of equations by graphing 2. Solve a system of equations using substitution 3. Solve systems of linear inequalities by graphing 4. Find the number of solutions to a system of equations Also consider: • Is (x, y) a solution to the system of equations? • Is (x, y) a solution to the system of linear inequalities? • Find the number of solutions to a system of equations by graphing

Lesson 23: Solution Sets to Simultaneous Equations		1. Solve a system of equations using elimination Also consider: • Solve a system of equations using any method
Lesson 23: Solution Sets to Simultaneous Equations
1. Solve a system of equations using elimination Also consider: • Solve a system of equations using any method

Lesson 24: Applications of Systems of Equations and Inequalities		1. Solve a system of equations using any method: word problems Also consider: • Solve a system of equations using substitution: word problems • Solve a system of equations using elimination: word problems
Lesson 24: Applications of Systems of Equations and Inequalities
1. Solve a system of equations using any method: word problems Also consider: • Solve a system of equations using substitution: word problems • Solve a system of equations using elimination: word problems
Topic D - Creating Equations to Solve Problems
Lesson 25: Solving Problems in Two Ways – Rates and Algebra		1. Write and solve linear equations that represent diagrams 2. Consecutive integer problems Also consider: • Word problems: mixed review
Lesson 25: Solving Problems in Two Ways – Rates and Algebra
1. Write and solve linear equations that represent diagrams 2. Consecutive integer problems Also consider: • Word problems: mixed review

Lessons 26 & 27: Recursive Challenge Problem – The Double and Add 5 Game		1. Evaluate recursive formulas for sequences 2. Write a formula for a recursive sequence Also consider: • Number sequences
Lessons 26 & 27: Recursive Challenge Problem – The Double and Add 5 Game
1. Evaluate recursive formulas for sequences 2. Write a formula for a recursive sequence Also consider: • Number sequences

Lesson 28: Federal Income Tax
Lesson 28: Federal Income Tax


Checkpoint opportunity		1. Checkpoint: Polynomial operations 2. Checkpoint: Solve linear equations and inequalities 3. Checkpoint: Systems of equations and inequalities 4. Checkpoint: Modeling with linear equations and inequalities 5. Checkpoint: Units and quantities
Checkpoint opportunity
1. Checkpoint: Polynomial operations 2. Checkpoint: Solve linear equations and inequalities 3. Checkpoint: Systems of equations and inequalities 4. Checkpoint: Modeling with linear equations and inequalities 5. Checkpoint: Units and quantities

2	Module 2 Descriptive Statistics
Topic A - Shapes and Centers of Distributions
Lesson 1: Distributions and Their Shapes		1. Interpret line plots 2. Interpret histograms 3. Box plots Also consider: • Create histograms
Lesson 1: Distributions and Their Shapes
1. Interpret line plots 2. Interpret histograms 3. Box plots Also consider: • Create histograms

Lesson 2: Describing the Center of a Distribution		1. Create line plots 2. Mean and median
Lesson 2: Describing the Center of a Distribution
1. Create line plots 2. Mean and median

Lesson 3: Estimating Centers and Intrepreting the Mean as a Balance Point
Lesson 3: Estimating Centers and Intrepreting the Mean as a Balance Point

Topic B - Describing Variability and Comparing Distributions
Lesson 4: Summarizing Deviations from the Mean		1. Interpret mean and mean absolute deviation
Lesson 4: Summarizing Deviations from the Mean
1. Interpret mean and mean absolute deviation

Lesson 5: Measuring Variability for Symmetrical Distributions		1. Variance and standard deviation
Lesson 5: Measuring Variability for Symmetrical Distributions
1. Variance and standard deviation

Lesson 6: Intrepreting the Standard Deviation
Lesson 6: Intrepreting the Standard Deviation


Lesson 7: Measuring Variability for Skewed Distributions (Interquartile Range)		1. Calculate quartiles and interquartile range 2. Identify an outlier Also consider: • Identify an outlier and describe the effect of removing it
Lesson 7: Measuring Variability for Skewed Distributions (Interquartile Range)
1. Calculate quartiles and interquartile range 2. Identify an outlier Also consider: • Identify an outlier and describe the effect of removing it

Lesson 8: Comparing Distributions		1. Choose appropriate measures of center and variation
Lesson 8: Comparing Distributions
1. Choose appropriate measures of center and variation
Topic C - Categorical Data on Two Variables
Lesson 9: Summarizing Bivariate Categorical Data
Lesson 9: Summarizing Bivariate Categorical Data


Lesson 10: Summarizing Bivariate Categorical Data with Relative Frequencies
Lesson 10: Summarizing Bivariate Categorical Data with Relative Frequencies


Lesson 11: Conditional Relative Frequencies and Association
Lesson 11: Conditional Relative Frequencies and Association

Topic D - Numerical Data on Two Variables
Lessons 12 & 13: Relationships Between Two Numerical Variables		1. Create scatter plots
Lessons 12 & 13: Relationships Between Two Numerical Variables
1. Create scatter plots

Lesson 14: Modeling Relationships with a Line		1. Interpret lines of best fit: word problems 2. Find the equation of a regression line
Lesson 14: Modeling Relationships with a Line
1. Interpret lines of best fit: word problems 2. Find the equation of a regression line

Lesson 15: Interpreting Residuals from a Line		1. Analyze a regression line of a data set
Lesson 15: Interpreting Residuals from a Line
1. Analyze a regression line of a data set

Lesson 16: More on Modeling Relationships with a Line
Lesson 16: More on Modeling Relationships with a Line


Lessons 17 & 18: Analyzing Residuals
Lessons 17 & 18: Analyzing Residuals


Lesson 19: Intrepreting Correlation		1. Calculate correlation coefficients 2. Correlation and causation Also consider: • Match correlation coefficients to scatter plots • Interpret a scatter plot
Lesson 19: Intrepreting Correlation
1. Calculate correlation coefficients 2. Correlation and causation Also consider: • Match correlation coefficients to scatter plots • Interpret a scatter plot

Lesson 20: Analyzing Data Collected on Two Variables
Lesson 20: Analyzing Data Collected on Two Variables


Checkpoint opportunity		1. Checkpoint: Line plots, histograms, and box plots 2. Checkpoint: Compare data sets 3. Checkpoint: Two-way frequency tables 4. Checkpoint: Linear modeling
Checkpoint opportunity
1. Checkpoint: Line plots, histograms, and box plots 2. Checkpoint: Compare data sets 3. Checkpoint: Two-way frequency tables 4. Checkpoint: Linear modeling

3	Module 3 Linear and Exponential Functions
Topic A - Linear and Exponential Sequences
Lesson 1: Integer Sequences – Should You Believe in Patterns?		1. Evaluate formulas for number sequences: function notation Also consider: • Sequences: mixed review • Shape patterns
Lesson 1: Integer Sequences – Should You Believe in Patterns?
1. Evaluate formulas for number sequences: function notation Also consider: • Sequences: mixed review • Shape patterns

Lesson 2: Recursive Formulas for Sequences		1. Evaluate recursive formulas for sequences: function notation 2. Write a formula for a recursive sequence: function notation 3. Convert an explicit formula to a recursive formula: function notation Also consider: • Identify a sequence as explicit or recursive: function notation • Convert a recursive formula to an explicit formula: function notation
Lesson 2: Recursive Formulas for Sequences
1. Evaluate recursive formulas for sequences: function notation 2. Write a formula for a recursive sequence: function notation 3. Convert an explicit formula to a recursive formula: function notation Also consider: • Identify a sequence as explicit or recursive: function notation • Convert a recursive formula to an explicit formula: function notation

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

Lesson 4: Why Do Banks Pay YOU to Provide Their Services?		1. Simple interest 2. Compound interest: word problems
Lesson 4: Why Do Banks Pay YOU to Provide Their Services?
1. Simple interest 2. Compound interest: word problems

Lesson 5: The Power of Exponential Growth		1. Exponential growth: word problems 2. Identify linear and exponential functions from graphs and tables
Lesson 5: The Power of Exponential Growth
1. Exponential growth: word problems 2. Identify linear and exponential functions from graphs and tables

Lesson 6: Exponential Growth – U.S. Population and World Population		1. Write linear and exponential growth functions: word problems
Lesson 6: Exponential Growth – U.S. Population and World Population
1. Write linear and exponential growth functions: word problems

Lesson 7: Exponential Decay		1. Exponential decay: word problems 2. Graph exponential functions
Lesson 7: Exponential Decay
1. Exponential decay: word problems 2. Graph exponential functions
Topic B - Functions and Their Graphs
Lesson 8: Why Stay with Whole Numbers?
Lesson 8: Why Stay with Whole Numbers?


Lessons 9 & 10: Representing, Naming, and Evaluating Functions		1. Domain and range of relations 2. Identify functions 3. Evaluate a function 4. Interpret functions using everyday language Also consider: • Domain and range of linear functions: word problems • Identify functions: vertical line test • Evaluate a function: plug in an expression • Interval notation
Lessons 9 & 10: Representing, Naming, and Evaluating Functions
1. Domain and range of relations 2. Identify functions 3. Evaluate a function 4. Interpret functions using everyday language Also consider: • Domain and range of linear functions: word problems • Identify functions: vertical line test • Evaluate a function: plug in an expression • Interval notation

Lesson 11: The Graph of a Function		1. Domain and range of exponential, absolute value, and radical functions: graphs
Lesson 11: The Graph of a Function
1. Domain and range of exponential, absolute value, and radical functions: graphs

Lesson 12: The Graph of the Equation 𝒚 = 𝒇(𝒙)
Lesson 12: The Graph of the Equation 𝒚 = 𝒇(𝒙)


Lesson 13: Interpreting the Graph of a Function
Lesson 13: Interpreting the Graph of a Function


Lesson 14: Linear and Exponential Models – Comparing Growth Rates		1. Write linear and exponential functions from tables 2. Compare linear and exponential growth Also consider: • Linear functions over unit intervals • Exponential functions over unit intervals
Lesson 14: Linear and Exponential Models – Comparing Growth Rates
1. Write linear and exponential functions from tables 2. Compare linear and exponential growth Also consider: • Linear functions over unit intervals • Exponential functions over unit intervals
Topic C - Transformations of Functions
Lesson 15: Piecewise Functions		1. Graph piecewise-defined functions 2. Graph an absolute value function Also consider: • Evaluate piecewise-defined functions • Domain and range of absolute value functions: graphs
Lesson 15: Piecewise Functions
1. Graph piecewise-defined functions 2. Graph an absolute value function Also consider: • Evaluate piecewise-defined functions • Domain and range of absolute value functions: graphs

Lesson 16: Graphs Can Solve Equations Too		1. Solve absolute value equations
Lesson 16: Graphs Can Solve Equations Too
1. Solve absolute value equations

Lessons 17–20: Four Interesting Transformations of Functions		1. Transformations of absolute value functions: translations, reflections, and dilations 2. Function transformation rules
Lessons 17–20: Four Interesting Transformations of Functions
1. Transformations of absolute value functions: translations, reflections, and dilations 2. Function transformation rules
Topic D - Using Functions and Graphs to Solve Problems
Lesson 21: Comparing Linear and Exponential Models Again		1. Write linear and exponential functions: word problems Also consider: • Identify linear and exponential functions from tables
Lesson 21: Comparing Linear and Exponential Models Again
1. Write linear and exponential functions: word problems Also consider: • Identify linear and exponential functions from tables

Lesson 22: Modeling an Invasive Species Population		1. Exponential regression
Lesson 22: Modeling an Invasive Species Population
1. Exponential regression

Lesson 23: Newton's Law of Cooling
Lesson 23: Newton's Law of Cooling


Lesson 24: Piecewise and Step Functions in Context
Lesson 24: Piecewise and Step Functions in Context


Checkpoint opportunity		1. Checkpoint: Sequences 2. Checkpoint: Function concepts 3. Checkpoint: Compare linear and exponential functions
Checkpoint opportunity
1. Checkpoint: Sequences 2. Checkpoint: Function concepts 3. Checkpoint: Compare linear and exponential functions

4	Module 4 Polynomial and Quadratic Expressions, Equations, and Functions
Topic A - Quadratic Expressions, Equations, Functions, and Their Connection to Rectangles
Lessons 1 & 2: Multiplying and Factoring Polynomial Expressions		1. Multiply two binomials 2. Multiply two binomials: special cases 3. Factor out a monomial 4. Factor quadratics with leading coefficient 1 Also consider: • Multiply a polynomial by a monomial • Multiply two binomials using algebra tiles • Multiply polynomials to find area • Factor quadratics using algebra tiles
Lessons 1 & 2: Multiplying and Factoring Polynomial Expressions
1. Multiply two binomials 2. Multiply two binomials: special cases 3. Factor out a monomial 4. Factor quadratics with leading coefficient 1 Also consider: • Multiply a polynomial by a monomial • Multiply two binomials using algebra tiles • Multiply polynomials to find area • Factor quadratics using algebra tiles

Lesson 3: Advanced Factoring Strategies for Quadratic Expressions		1. Factor quadratics with other leading coefficients 2. Factor quadratics: special cases 3. Factor using a quadratic pattern
Lesson 3: Advanced Factoring Strategies for Quadratic Expressions
1. Factor quadratics with other leading coefficients 2. Factor quadratics: special cases 3. Factor using a quadratic pattern

Lesson 4: Advanced Factoring Strategies for Quadratic Expressions		1. Factor by grouping Also consider: • Factor polynomials
Lesson 4: Advanced Factoring Strategies for Quadratic Expressions
1. Factor by grouping Also consider: • Factor polynomials

Lesson 5: The Zero Product Property		1. Solve a quadratic equation by factoring
Lesson 5: The Zero Product Property
1. Solve a quadratic equation by factoring

Lesson 6: Solving Basic One-Variable Quadratic Equations		1. Solve a quadratic equation using square roots
Lesson 6: Solving Basic One-Variable Quadratic Equations
1. Solve a quadratic equation using square roots

Lesson 7: Creating and Solving Quadratic Equations in One Variable
Lesson 7: Creating and Solving Quadratic Equations in One Variable


Lesson 8: Exploring the Symmetry in Graphs of Quadratic Functions		1. Characteristics of quadratic functions: graphs Also consider: • Characteristics of quadratic functions: equations
Lesson 8: Exploring the Symmetry in Graphs of Quadratic Functions
1. Characteristics of quadratic functions: graphs Also consider: • Characteristics of quadratic functions: equations

Lesson 9: Graphing Quadratic Functions from Factored Form, 𝒇(𝒙) = 𝒂(𝒙 − 𝒎)(𝒙 − 𝒏)		1. Use zeros to match quadratic functions and graphs 2. Write a quadratic function from its zeros
Lesson 9: Graphing Quadratic Functions from Factored Form, 𝒇(𝒙) = 𝒂(𝒙 − 𝒎)(𝒙 − 𝒏)
1. Use zeros to match quadratic functions and graphs 2. Write a quadratic function from its zeros

Lesson 10: Interpreting Quadratic Functions from Graphs and Tables		Also consider: • Domain and range of quadratic functions: graphs
Lesson 10: Interpreting Quadratic Functions from Graphs and Tables
Also consider: • Domain and range of quadratic functions: graphs
Topic B - Using Different Forms for Quadratic Functions
Lessons 11 & 12: Completing the Square		1. Complete the square Also consider: • Factor quadratics: perfect squares
Lessons 11 & 12: Completing the Square
1. Complete the square Also consider: • Factor quadratics: perfect squares

Lesson 13: Solving Quadratic Equations by Completing the Square		1. Solve a quadratic equation by completing the square 2. Properties of operations on rational and irrational numbers
Lesson 13: Solving Quadratic Equations by Completing the Square
1. Solve a quadratic equation by completing the square 2. Properties of operations on rational and irrational numbers

Lesson 14: Deriving the Quadratic Formula		1. Solve a quadratic equation using the quadratic formula
Lesson 14: Deriving the Quadratic Formula
1. Solve a quadratic equation using the quadratic formula

Lesson 15: Using the Quadratic Formula		1. Using the discriminant
Lesson 15: Using the Quadratic Formula
1. Using the discriminant

Lesson 16: Graphing Quadratic Equations from the Vertex Form, 𝒚 = 𝒂(𝒙 − 𝒉)² + 𝒌		1. Graph quadratic functions in vertex form
Lesson 16: Graphing Quadratic Equations from the Vertex Form, 𝒚 = 𝒂(𝒙 − 𝒉)² + 𝒌
1. Graph quadratic functions in vertex form

Lesson 17: Graphing Quadratic Functions from the Standard Form, 𝒇(𝒙) = 𝒂𝒙² + 𝒃𝒙 + c		1. Graph quadratic functions in standard form
Lesson 17: Graphing Quadratic Functions from the Standard Form, 𝒇(𝒙) = 𝒂𝒙² + 𝒃𝒙 + c
1. Graph quadratic functions in standard form
Topic C - Function Transformations and Modeling
Lesson 18: Graphing Cubic, Square Root, and Cube Root Functions		1. Graph square root functions Also consider: • Domain and range of square root functions: graphs
Lesson 18: Graphing Cubic, Square Root, and Cube Root Functions
1. Graph square root functions Also consider: • Domain and range of square root functions: graphs

Lesson 19: Translating Graphs of Functions		1. Translations of functions
Lesson 19: Translating Graphs of Functions
1. Translations of functions

Lesson 20: Stretching and Shrinking Graphs of Functions		1. Dilations of functions 2. Reflections of functions Also consider: • Transformations of functions • Describe function transformations
Lesson 20: Stretching and Shrinking Graphs of Functions
1. Dilations of functions 2. Reflections of functions Also consider: • Transformations of functions • Describe function transformations

Lesson 21: Transformations of the Quadratic Parent Function, 𝒇(𝒙) = 𝒙²		1. Transformations of quadratic functions 2. Write a quadratic function in vertex form
Lesson 21: Transformations of the Quadratic Parent Function, 𝒇(𝒙) = 𝒙²
1. Transformations of quadratic functions 2. Write a quadratic function in vertex form

Lesson 22: Comparing Quadratic, Square Root, and Cube Root Functions Represented in Different Ways
Lesson 22: Comparing Quadratic, Square Root, and Cube Root Functions Represented in Different Ways


Lessons 23 & 24: Modeling with Quadratic Functions		1. Solve quadratic equations: word problems Also consider: • Write a quadratic function in vertex form from its vertex and another point
Lessons 23 & 24: Modeling with Quadratic Functions
1. Solve quadratic equations: word problems Also consider: • Write a quadratic function in vertex form from its vertex and another point

Checkpoint opportunity		Module 4 1. Checkpoint: Quadratic equations Modules 1–4 2. Checkpoint: Modeling with linear, quadratic, and exponential equations and inequalities 3. Checkpoint: Solve equations using graphs and tables 4. Checkpoint: Quadratic and exponential expressions 5. Checkpoint: Function transformations 6. Checkpoint: Analyze, interpret, and compare functions 7. Checkpoint: Graph and analyze functions
Checkpoint opportunity
Module 4 1. Checkpoint: Quadratic equations Modules 1–4 2. Checkpoint: Modeling with linear, quadratic, and exponential equations and inequalities 3. Checkpoint: Solve equations using graphs and tables 4. Checkpoint: Quadratic and exponential expressions 5. Checkpoint: Function transformations 6. Checkpoint: Analyze, interpret, and compare functions 7. Checkpoint: Graph and analyze functions

5	Module 5 A Synthesis of Modeling with Equations and Functions
Topic A - Elements of Modeling
Lesson 1: Analyzing a Graph
Lesson 1: Analyzing a Graph


Lesson 2: Analyzing a Data Set		1. Identify linear, quadratic, and exponential functions from tables Also consider: • Compare linear, exponential, and quadratic growth
Lesson 2: Analyzing a Data Set
1. Identify linear, quadratic, and exponential functions from tables Also consider: • Compare linear, exponential, and quadratic growth

Lesson 3: Analyzing a Verbal Description		1. Write a linear function: word problems 2. Write exponential functions: word problems
Lesson 3: Analyzing a Verbal Description
1. Write a linear function: word problems 2. Write exponential functions: word problems
Topic B - Completing the Modeling Cycle
Lesson 4: Modeling a Context from a Graph
Lesson 4: Modeling a Context from a Graph


Lesson 5: Modeling from a Sequence
Lesson 5: Modeling from a Sequence


Lesson 6: Modeling a Context from Data		1. Write linear, quadratic, and exponential functions from tables
Lesson 6: Modeling a Context from Data
1. Write linear, quadratic, and exponential functions from tables

Lesson 7: Modeling a Context from Data
Lesson 7: Modeling a Context from Data


Lessons 8 & 9: Modeling a Context from a Verbal Description		1. Interpret parts of quadratic expressions: word problems
Lessons 8 & 9: Modeling a Context from a Verbal Description
1. Interpret parts of quadratic expressions: word problems

Checkpoint opportunity		Modules 1–5 1. Checkpoint: Average rate of change 2. Checkpoint: Build functions
Checkpoint opportunity
Modules 1–5 1. Checkpoint: Average rate of change 2. Checkpoint: Build functions

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