IXL skill plan | 8th grade plan for EngageNY Math

Skill plan for EngageNY Math - 8th grade

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 Integer Exponents and Scientific Notation
Topic A - Exponential Notation and Properties of Integer Exponents
Lesson 1: Exponential Notation		1. Understanding exponents 2. Powers with negative bases 3. Powers with decimal and fractional bases
Lesson 1: Exponential Notation
1. Understanding exponents 2. Powers with negative bases 3. Powers with decimal and fractional bases

Lesson 2: Multiplication of Numbers in Exponential Form		1. Multiplication with exponents 2. Division with exponents Also consider: • Multiply and divide powers: integer bases
Lesson 2: Multiplication of Numbers in Exponential Form
1. Multiplication with exponents 2. Division with exponents Also consider: • Multiply and divide powers: integer bases

Lesson 3: Numbers in Exponential Form Raised to a Power		1. Power rule with exponents
Lesson 3: Numbers in Exponential Form Raised to a Power
1. Power rule with exponents

Lesson 4: Numbers Raised to the Zeroth Power Lesson 5: Negative Exponents and the Laws of Exponents		1. Understanding negative exponents 2. Evaluate powers with negative exponents 3. Evaluate powers with negative or zero exponents Also consider: • Divide powers: integer bases • Divide powers: variable bases • Evaluate expressions using properties of exponents
Lesson 4: Numbers Raised to the Zeroth Power Lesson 5: Negative Exponents and the Laws of Exponents
1. Understanding negative exponents 2. Evaluate powers with negative exponents 3. Evaluate powers with negative or zero exponents Also consider: • Divide powers: integer bases • Divide powers: variable bases • Evaluate expressions using properties of exponents

Lesson 6: Proofs of Laws of Exponents		1. Identify equivalent expressions involving exponents I 2. Identify equivalent expressions involving exponents II
Lesson 6: Proofs of Laws of Exponents
1. Identify equivalent expressions involving exponents I 2. Identify equivalent expressions involving exponents II

Checkpoint opportunity		1. Checkpoint: Properties of exponents
Checkpoint opportunity
1. Checkpoint: Properties of exponents
Topic B - Magnitude and Scientific Notation
Lesson 7: Magnitude
Lesson 7: Magnitude


Lesson 8: Estimating Quantities
Lesson 8: Estimating Quantities


Lesson 9: Scientific Notation Lesson 10: Operations with Numbers in Scientific Notation		1. Convert between standard and scientific notation 2. Add and subtract numbers written in scientific notation 3. Multiply numbers written in scientific notation 4. Divide numbers written in scientific notation
Lesson 9: Scientific Notation Lesson 10: Operations with Numbers in Scientific Notation
1. Convert between standard and scientific notation 2. Add and subtract numbers written in scientific notation 3. Multiply numbers written in scientific notation 4. Divide numbers written in scientific notation

Lesson 11: Efficacy of Scientific Notation
Lesson 11: Efficacy of Scientific Notation


Lesson 12: Choice of Unit		1. Which customary unit is appropriate? 2. Which metric unit is appropriate?
Lesson 12: Choice of Unit
1. Which customary unit is appropriate? 2. Which metric unit is appropriate?

Lesson 13: Comparison of Numbers Written in Scientific Notation and Interpreting Scientific Notation Using Technology		1. Scientific notation on calculators 2. Compare numbers written in scientific notation
Lesson 13: Comparison of Numbers Written in Scientific Notation and Interpreting Scientific Notation Using Technology
1. Scientific notation on calculators 2. Compare numbers written in scientific notation

Checkpoint opportunity		1. Checkpoint: Scientific notation
Checkpoint opportunity
1. Checkpoint: Scientific notation

2	Module 2 The Concept of Congruence
Topic A - Definitions and Properties of the Basic Rigid Motions
Lesson 1: Why Move Things Around?
Lesson 1: Why Move Things Around?


Lesson 2: Definition of Translation and Three Basic Properties Lesson 3: Translating Lines		1. Identify translations
Lesson 2: Definition of Translation and Three Basic Properties Lesson 3: Translating Lines
1. Identify translations

Lesson 4: Definition of Reflection and Basic Properties		1. Identify reflections
Lesson 4: Definition of Reflection and Basic Properties
1. Identify reflections

Lesson 5: Definition of Rotation and Basic Properties Lesson 6: Rotations of 180 Degrees		1. Rotate polygons about a point
Lesson 5: Definition of Rotation and Basic Properties Lesson 6: Rotations of 180 Degrees
1. Rotate polygons about a point
Topic B - Sequencing the Basic Rigid Motions
Lesson 7: Sequencing Translations		1. Translations: graph the image 2. Translations: find the coordinates Also consider: • Translations: write the rule
Lesson 7: Sequencing Translations
1. Translations: graph the image 2. Translations: find the coordinates Also consider: • Translations: write the rule

Lesson 8: Sequencing Reflections and Translations		1. Reflections over the x- and y-axes: graph the image 2. Reflections over the x- and y-axes: find the coordinates 3. Sequences of transformations: translations and reflections Also consider: • Reflections: graph the image • Reflections: find the coordinates
Lesson 8: Sequencing Reflections and Translations
1. Reflections over the x- and y-axes: graph the image 2. Reflections over the x- and y-axes: find the coordinates 3. Sequences of transformations: translations and reflections Also consider: • Reflections: graph the image • Reflections: find the coordinates

Lesson 9: Sequencing Rotations		1. Rotations: graph the image 2. Rotations: find the coordinates
Lesson 9: Sequencing Rotations
1. Rotations: graph the image 2. Rotations: find the coordinates

Lesson 10: Sequences of Rigid Motions		1. Describe transformations 2. Sequences of congruence transformations: choose the sequence 3. Sequences of congruence transformations: graph the image
Lesson 10: Sequences of Rigid Motions
1. Describe transformations 2. Sequences of congruence transformations: choose the sequence 3. Sequences of congruence transformations: graph the image

Checkpoint opportunity		1. Checkpoint: Congruence transformations
Checkpoint opportunity
1. Checkpoint: Congruence transformations
Topic C - Congruence and Angle Relationships
Lesson 11: Definition of Congruence and Some Basic Properties		1. Determine if two figures are congruent: justify your answer
Lesson 11: Definition of Congruence and Some Basic Properties
1. Determine if two figures are congruent: justify your answer

Lesson 12: Angles Associated with Parallel Lines		1. Identify alternate interior and alternate exterior angles 2. Transversals of parallel lines: name angle pairs 3. Transversals of parallel lines: find angle measures Also consider: • Transversals of parallel lines: solve for x
Lesson 12: Angles Associated with Parallel Lines
1. Identify alternate interior and alternate exterior angles 2. Transversals of parallel lines: name angle pairs 3. Transversals of parallel lines: find angle measures Also consider: • Transversals of parallel lines: solve for x

Lesson 13: Angle Sum of a Triangle		1. Find missing angles in triangles Also consider: • Triangle Angle-Sum Theorem
Lesson 13: Angle Sum of a Triangle
1. Find missing angles in triangles Also consider: • Triangle Angle-Sum Theorem

Lesson 14: More on the Angles of a Triangle		1. Exterior angles: find angle measures Also consider: • Exterior Angle Theorem
Lesson 14: More on the Angles of a Triangle
1. Exterior angles: find angle measures Also consider: • Exterior Angle Theorem
Topic D - The Pythagorean Theorem
Lesson 15: Informal Proof of the Pythagorean Theorem		1. Pythagorean theorem: find the length of the hypotenuse
Lesson 15: Informal Proof of the Pythagorean Theorem
1. Pythagorean theorem: find the length of the hypotenuse

Lesson 16: Applications of the Pythagorean Theorem		1. Pythagorean theorem: find the missing leg length 2. Pythagorean theorem: word problems
Lesson 16: Applications of the Pythagorean Theorem
1. Pythagorean theorem: find the missing leg length 2. Pythagorean theorem: word problems

3	Module 3 Similarity
Topic A - Dilation
Lesson 1: What Lies Behind "Same Shape"?		1. Similar and congruent figures
Lesson 1: What Lies Behind "Same Shape"?
1. Similar and congruent figures

Lesson 2: Properties of Dilations
Lesson 2: Properties of Dilations


Lesson 3: Examples of Dilations
Lesson 3: Examples of Dilations


Lesson 4: Fundamental Theorem of Similarity (FTS) Lesson 5: First Consequences of FTS		1. Scaled polygons
Lesson 4: Fundamental Theorem of Similarity (FTS) Lesson 5: First Consequences of FTS
1. Scaled polygons

Lesson 6: Dilations on the Coordinate Plane		1. Dilations: graph the image 2. Dilations: find the coordinates 3. Dilations: find the scale factor
Lesson 6: Dilations on the Coordinate Plane
1. Dilations: graph the image 2. Dilations: find the coordinates 3. Dilations: find the scale factor

Lesson 7: Informal Proofs of Properties of Dilations (optional)
Lesson 7: Informal Proofs of Properties of Dilations (optional)


Checkpoint opportunity		1. Checkpoint: Transformations on the coordinate plane
Checkpoint opportunity
1. Checkpoint: Transformations on the coordinate plane
Topic B - Similar Figures
Lesson 8: Similarity		1. Determine if two figures are similar: justify your answer
Lesson 8: Similarity
1. Determine if two figures are similar: justify your answer

Lesson 9: Basic Properties of Similarity		1. Identify similar triangles
Lesson 9: Basic Properties of Similarity
1. Identify similar triangles

Lesson 10: Informal Proof of AA Criterion for Similarity		1. Angle-angle criterion for similar triangles
Lesson 10: Informal Proof of AA Criterion for Similarity
1. Angle-angle criterion for similar triangles

Lesson 11: More About Similar Triangles		1. Side lengths and angle measures of similar triangles 2. Find missing side lengths in proportional triangles Also consider: • Side lengths and angle measures of similar figures
Lesson 11: More About Similar Triangles
1. Side lengths and angle measures of similar triangles 2. Find missing side lengths in proportional triangles Also consider: • Side lengths and angle measures of similar figures

Lesson 12: Modeling Using Similarity		1. Similar triangles and indirect measurement
Lesson 12: Modeling Using Similarity
1. Similar triangles and indirect measurement

Checkpoint opportunity		1. Checkpoint: Similarity transformations 2. Checkpoint: Triangles and transversals
Checkpoint opportunity
1. Checkpoint: Similarity transformations 2. Checkpoint: Triangles and transversals
Topic C - The Pythagorean Theorem
Lesson 13: Proof of the Pythagorean Theorem		1. Pythagorean theorem: find the missing leg or hypotenuse length
Lesson 13: Proof of the Pythagorean Theorem
1. Pythagorean theorem: find the missing leg or hypotenuse length

Lesson 14: The Converse of the Pythagorean Theorem		1. Converse of the Pythagorean theorem: is it a right triangle?
Lesson 14: The Converse of the Pythagorean Theorem
1. Converse of the Pythagorean theorem: is it a right triangle?

Checkpoint opportunity		1. Checkpoint: Pythagorean theorem and its converse
Checkpoint opportunity
1. Checkpoint: Pythagorean theorem and its converse

4	Module 4 Linear Equations
Topic A - Writing and Solving Linear Equations
Lesson 1: Writing Equations Using Symbols		1. Write an equation from words
Lesson 1: Writing Equations Using Symbols
1. Write an equation from words

Lesson 2: Linear and Nonlinear Expressions in x		1. Identify linear and nonlinear functions: equations Also consider: • Identify terms and coefficients
Lesson 2: Linear and Nonlinear Expressions in x
1. Identify linear and nonlinear functions: equations Also consider: • Identify terms and coefficients

Lesson 3: Linear Equations in x		1. Which x satisfies an equation?
Lesson 3: Linear Equations in x
1. Which x satisfies an equation?

Lesson 4: Solving a Linear Equation		1. Properties of equality 2. Solve equations with integers: variables on both sides 3. Solve equations with variables on both sides: fractional coefficients Also consider: • Identify equivalent equations • Solve two-step equations: complete the solution
Lesson 4: Solving a Linear Equation
1. Properties of equality 2. Solve equations with integers: variables on both sides 3. Solve equations with variables on both sides: fractional coefficients Also consider: • Identify equivalent equations • Solve two-step equations: complete the solution

Lesson 5: Writing and Solving Linear Equations		1. Write and solve equations using angle relationships
Lesson 5: Writing and Solving Linear Equations
1. Write and solve equations using angle relationships

Lesson 6: Solutions of a Linear Equation		1. Solve equations using the distributive property 2. Solve multi-step equations Also consider: • Solve multi-step equations: complete the solution
Lesson 6: Solutions of a Linear Equation
1. Solve equations using the distributive property 2. Solve multi-step equations Also consider: • Solve multi-step equations: complete the solution

Lesson 7: Classification of Solutions		1. Find the number of solutions 2. Create equations with no solutions or infinitely many solutions
Lesson 7: Classification of Solutions
1. Find the number of solutions 2. Create equations with no solutions or infinitely many solutions

Lesson 8: Linear Equations in Disguise		1. Solve rational equations with only one solution
Lesson 8: Linear Equations in Disguise
1. Solve rational equations with only one solution

Lesson 9: An Application of Linear Equations		1. Consecutive integer problems 2. Solve equations with variables on both sides: word problems
Lesson 9: An Application of Linear Equations
1. Consecutive integer problems 2. Solve equations with variables on both sides: word problems

Checkpoint opportunity		1. Checkpoint: Solve linear equations
Checkpoint opportunity
1. Checkpoint: Solve linear equations
Topic B - Linear Equations in Two Variables and Their Graphs
Lesson 10: A Critical Look at Proportional Relationships		1. Find the constant of proportionality from a table 2. Write equations for proportional relationships from tables and graphs
Lesson 10: A Critical Look at Proportional Relationships
1. Find the constant of proportionality from a table 2. Write equations for proportional relationships from tables and graphs

Lesson 11: Constant Rate		1. Complete a table for a linear function 2. Compare proportional relationships represented in different ways
Lesson 11: Constant Rate
1. Complete a table for a linear function 2. Compare proportional relationships represented in different ways

Lesson 12: Linear Equations in Two Variables		1. Is (x, y) a solution to the linear equation? 2. Complete a table and graph a linear function
Lesson 12: Linear Equations in Two Variables
1. Is (x, y) a solution to the linear equation? 2. Complete a table and graph a linear function

Lesson 13: The Graph of a Linear Equation in Two Variables		1. Relate the graph of an equation to its solutions
Lesson 13: The Graph of a Linear Equation in Two Variables
1. Relate the graph of an equation to its solutions

Lesson 14: The Graph of a Linear Equation―Horizontal and Vertical Lines		1. Graph a horizontal or vertical line Also consider: • Equations of horizontal and vertical lines • Checkpoint: Proportional relationships
Lesson 14: The Graph of a Linear Equation―Horizontal and Vertical Lines
1. Graph a horizontal or vertical line Also consider: • Equations of horizontal and vertical lines • Checkpoint: Proportional relationships
Topic C - Slope and Equations of Lines
Lesson 15: The Slope of a Non-Vertical Line		1. Find the slope from a graph
Lesson 15: The Slope of a Non-Vertical Line
1. Find the slope from a graph

Lesson 16: The Computation of the Slope of a Non-Vertical Line		1. Find the slope from two points Also consider: • Find the slope from a table • Find a missing coordinate using slope
Lesson 16: The Computation of the Slope of a Non-Vertical Line
1. Find the slope from two points Also consider: • Find the slope from a table • Find a missing coordinate using slope

Lesson 17: The Line Joining Two Distinct Points of the Graph y = mx + b Has Slope m		1. Convert a linear equation in standard form to slope-intercept form
Lesson 17: The Line Joining Two Distinct Points of the Graph y = mx + b Has Slope m
1. Convert a linear equation in standard form to slope-intercept form

Lesson 18: There Is Only One Line Passing Through a Given Point with a Given Slope		1. Slope-intercept form: find the slope and y-intercept 2. Graph a line from an equation in slope-intercept form
Lesson 18: There Is Only One Line Passing Through a Given Point with a Given Slope
1. Slope-intercept form: find the slope and y-intercept 2. Graph a line from an equation in slope-intercept form

Lesson 19: The Graph of a Linear Equation in Two Variables Is a Line		1. Graph a line from an equation in standard form
Lesson 19: The Graph of a Linear Equation in Two Variables Is a Line
1. Graph a line from an equation in standard form

Lesson 20: Every Line Is a Graph of a Linear Equation		1. Write a linear equation from a graph
Lesson 20: Every Line Is a Graph of a Linear Equation
1. Write a linear equation from a graph

Lesson 21: Some Facts About Graphs of Linear Equations in Two Variables		1. Write a linear equation from a slope and a point 2. Write a linear equation from two points
Lesson 21: Some Facts About Graphs of Linear Equations in Two Variables
1. Write a linear equation from a slope and a point 2. Write a linear equation from two points

Lesson 22: Constant Rates Revisited		1. Interpret graphs of proportional relationships
Lesson 22: Constant Rates Revisited
1. Interpret graphs of proportional relationships

Lesson 23: The Defining Equation of a Line
Lesson 23: The Defining Equation of a Line


Checkpoint opportunity		1. Checkpoint: Slope and linear equations
Checkpoint opportunity
1. Checkpoint: Slope and linear equations
Topic D - Systems of Linear Equations and Their Solutions
Lesson 24: Introduction to Simultaneous Equations		1. Solve a system of equations by graphing: word problems Also consider: • Solve a system of equations by graphing
Lesson 24: Introduction to Simultaneous Equations
1. Solve a system of equations by graphing: word problems Also consider: • Solve a system of equations by graphing

Lesson 25: Geometric Interpretation of the Solutions of a Linear System		1. Is (x, y) a solution to the system of equations?
Lesson 25: Geometric Interpretation of the Solutions of a Linear System
1. Is (x, y) a solution to the system of equations?

Lesson 26: Characterization of Parallel Lines Lesson 27: Nature of Solutions of a System of Linear Equations		1. Find the number of solutions to a system of equations by graphing 2. Find the number of solutions to a system of equations 3. Solve a system of equations using substitution
Lesson 26: Characterization of Parallel Lines Lesson 27: Nature of Solutions of a System of Linear Equations
1. Find the number of solutions to a system of equations by graphing 2. Find the number of solutions to a system of equations 3. Solve a system of equations using substitution

Lesson 28: Another Computational Method of Solving a Linear System		1. Solve a system of equations using elimination
Lesson 28: Another Computational Method of Solving a Linear System
1. Solve a system of equations using elimination

Lesson 29: Word Problems		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 29: Word Problems
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 30: Conversion Between Celsius and Fahrenheit		1. Convert between Celsius and Fahrenheit 2. Checkpoint: Systems of equations
Lesson 30: Conversion Between Celsius and Fahrenheit
1. Convert between Celsius and Fahrenheit 2. Checkpoint: Systems of equations
Topic E - Pythagorean Theorem
Lesson 31: System of Equations Leading to Pythagorean Triples
Lesson 31: System of Equations Leading to Pythagorean Triples

5	Module 5 Examples of Functions from Geometry
Topic A - Functions
Lesson 1: The Concept of a Function		1. Rate of change: graphs
Lesson 1: The Concept of a Function
1. Rate of change: graphs

Lesson 2: Formal Definition of a Function		1. Identify functions: tables Also consider: • Input/output tables: find the rule
Lesson 2: Formal Definition of a Function
1. Identify functions: tables Also consider: • Input/output tables: find the rule

Lesson 3: Linear Functions and Proportionality		1. Complete a table for a linear function: word problems 2. Write equations for proportional relationships from tables 3. Write and solve equations for proportional relationships Also consider: • Identify proportional relationships from graphs and equations
Lesson 3: Linear Functions and Proportionality
1. Complete a table for a linear function: word problems 2. Write equations for proportional relationships from tables 3. Write and solve equations for proportional relationships Also consider: • Identify proportional relationships from graphs and equations

Lesson 4: More Examples of Functions
Lesson 4: More Examples of Functions


Lesson 5: Graphs of Functions and Equations		1. Identify functions: discrete graphs 2. Identify functions: graphs Also consider: • Complete a table for a function graph • Find values using function graphs
Lesson 5: Graphs of Functions and Equations
1. Identify functions: discrete graphs 2. Identify functions: graphs Also consider: • Complete a table for a function graph • Find values using function graphs

Lesson 6: Graphs of Linear Functions and Rate of Change		1. Rate of change: tables 2. Identify linear and nonlinear functions: tables
Lesson 6: Graphs of Linear Functions and Rate of Change
1. Rate of change: tables 2. Identify linear and nonlinear functions: tables

Lesson 7: Comparing Linear Functions and Graphs		1. Find the slope from a table 2. Write a linear function from a table 3. Compare linear functions: tables, graphs, and equations Also consider: • Compare linear functions: graphs and equations • Rate of change of a linear function: graphs
Lesson 7: Comparing Linear Functions and Graphs
1. Find the slope from a table 2. Write a linear function from a table 3. Compare linear functions: tables, graphs, and equations Also consider: • Compare linear functions: graphs and equations • Rate of change of a linear function: graphs

Lesson 8: Graphs of Simple Nonlinear Functions		1. Identify linear and nonlinear functions: graphs and equations
Lesson 8: Graphs of Simple Nonlinear Functions
1. Identify linear and nonlinear functions: graphs and equations

Checkpoint opportunity		1. Checkpoint: Understand functions 2. Checkpoint: Compare linear functions 3. Checkpoint: Linear and nonlinear functions
Checkpoint opportunity
1. Checkpoint: Understand functions 2. Checkpoint: Compare linear functions 3. Checkpoint: Linear and nonlinear functions
Topic B - Volume
Lesson 9: Examples of Functions from Geometry		1. Volume of cubes and prisms 2. Area between two shapes
Lesson 9: Examples of Functions from Geometry
1. Volume of cubes and prisms 2. Area between two shapes

Lesson 10: Volumes of Familiar Solids—Cones and Cylinders		1. Volume of cylinders 2. Volume of cones
Lesson 10: Volumes of Familiar Solids—Cones and Cylinders
1. Volume of cylinders 2. Volume of cones

Lesson 11: Volume of a Sphere		1. Volume of spheres
Lesson 11: Volume of a Sphere
1. Volume of spheres

Checkpoint opportunity		1. Checkpoint: Volume
Checkpoint opportunity
1. Checkpoint: Volume

6	Module 6 Linear Functions
Topic A - Linear Functions
Lesson 1: Modeling Linear Relationships		1. Interpret points on the graph of a linear function 2. Write linear functions: word problems
Lesson 1: Modeling Linear Relationships
1. Interpret points on the graph of a linear function 2. Write linear functions: word problems

Lesson 2: Interpreting Rate of Change and Initial Value		1. Interpret the slope and y-intercept of a linear function
Lesson 2: Interpreting Rate of Change and Initial Value
1. Interpret the slope and y-intercept of a linear function

Lesson 3: Representations of a Line
Lesson 3: Representations of a Line


Lessons 4-5: Increasing and Decreasing Functions		1. Identify graphs: word problems
Lessons 4-5: Increasing and Decreasing Functions
1. Identify graphs: word problems

Checkpoint opportunity		1. Checkpoint: Construct and interpret linear functions 2. Checkpoint: Sketch and describe graphs
Checkpoint opportunity
1. Checkpoint: Construct and interpret linear functions 2. Checkpoint: Sketch and describe graphs
Topic B - Bivariate Numerical Data
Lesson 6: Scatter Plots		1. Create scatter plots Also consider: • Interpret scatter plots
Lesson 6: Scatter Plots
1. Create scatter plots Also consider: • Interpret scatter plots

Lesson 7: Patterns in Scatter Plots		1. Identify trends with scatter plots 2. Outliers in scatter plots Also consider: • Make predictions with scatter plots
Lesson 7: Patterns in Scatter Plots
1. Identify trends with scatter plots 2. Outliers in scatter plots Also consider: • Make predictions with scatter plots

Lesson 8: Informally Fitting a Line		1. Identify lines of best fit
Lesson 8: Informally Fitting a Line
1. Identify lines of best fit

Lesson 9: Determining the Equation of a Line Fit to Data		1. Write equations for lines of best fit 2. Checkpoint: Scatter plots 3. Checkpoint: Lines of best fit
Lesson 9: Determining the Equation of a Line Fit to Data
1. Write equations for lines of best fit 2. Checkpoint: Scatter plots 3. Checkpoint: Lines of best fit
Topic C - Linear and Nonlinear Models
Lesson 10: Linear Models		1. Identify independent and dependent variables
Lesson 10: Linear Models
1. Identify independent and dependent variables

Lesson 11: Using Linear Models in a Data Context		1. Interpret lines of best fit: word problems
Lesson 11: Using Linear Models in a Data Context
1. Interpret lines of best fit: word problems

Lesson 12: Nonlinear Models in a Data Context (Optional)
Lesson 12: Nonlinear Models in a Data Context (Optional)


Checkpoint opportunity		1. Checkpoint: Linear models: interpret and solve
Checkpoint opportunity
1. Checkpoint: Linear models: interpret and solve
Topic D - Bivariate Categorical Data
Lesson 13: Summarizing Bivariate Categorical Data in a Two-Way Table		1. Find probabilities using two-way frequency tables
Lesson 13: Summarizing Bivariate Categorical Data in a Two-Way Table
1. Find probabilities using two-way frequency tables

Lesson 14: Association Between Categorical Variables
Lesson 14: Association Between Categorical Variables


Checkpoint opportunity		1. Checkpoint: Two-way frequency tables
Checkpoint opportunity
1. Checkpoint: Two-way frequency tables

7	Module 7 Introduction to Irrational Numbers Using Geometry
Topic A - Square and Cube Roots
Lesson 1: The Pythagorean Theorem		1. Identify square numbers 2. Estimate positive square roots
Lesson 1: The Pythagorean Theorem
1. Identify square numbers 2. Estimate positive square roots

Lesson 2: Square Roots		1. Square roots of perfect squares
Lesson 2: Square Roots
1. Square roots of perfect squares

Lesson 3: Existence and Uniqueness of Square Roots and Cube Roots		1. Relationship between squares and square roots 2. Cube roots of positive perfect cubes
Lesson 3: Existence and Uniqueness of Square Roots and Cube Roots
1. Relationship between squares and square roots 2. Cube roots of positive perfect cubes

Lesson 4: Simplifying Square Roots (Optional)		1. Simplify square roots
Lesson 4: Simplifying Square Roots (Optional)
1. Simplify square roots

Lesson 5: Solving Equations with Radicals		1. Solve equations using square roots 2. Solve equations using cube roots
Lesson 5: Solving Equations with Radicals
1. Solve equations using square roots 2. Solve equations using cube roots
Topic B - Decimal Expansions of Numbers
Lesson 6: Finite and Infinite Decimals
Lesson 6: Finite and Infinite Decimals


Lesson 7: Infinite Decimals
Lesson 7: Infinite Decimals


Lesson 8: The Long Division Algorithm
Lesson 8: The Long Division Algorithm


Lesson 9: Decimal Expansions of Fractions, Part 1
Lesson 9: Decimal Expansions of Fractions, Part 1


Lesson 10: Converting Repeating Decimals to Fractions		1. Convert between repeating decimals and fractions
Lesson 10: Converting Repeating Decimals to Fractions
1. Convert between repeating decimals and fractions

Lesson 11: The Decimal Expansion of Some Irrational Numbers		1. Identify rational and irrational square roots 2. Identify rational and irrational numbers
Lesson 11: The Decimal Expansion of Some Irrational Numbers
1. Identify rational and irrational square roots 2. Identify rational and irrational numbers

Lesson 12: Decimal Expansions of Fractions, Part 2
Lesson 12: Decimal Expansions of Fractions, Part 2


Lesson 13: Comparing Irrational Numbers		1. Irrational numbers on number lines 2. Compare and order rational and irrational numbers
Lesson 13: Comparing Irrational Numbers
1. Irrational numbers on number lines 2. Compare and order rational and irrational numbers

Lesson 14: Decimal Expansion of π
Lesson 14: Decimal Expansion of π


Checkpoint opportunity		1. Checkpoint: Square and cube roots 2. Checkpoint: Rational and irrational numbers
Checkpoint opportunity
1. Checkpoint: Square and cube roots 2. Checkpoint: Rational and irrational numbers
Topic C - The Pythagorean Theorem
Lesson 15: Pythagorean Theorem, Revisited
Lesson 15: Pythagorean Theorem, Revisited


Lesson 16: Converse of the Pythagorean Theorem
Lesson 16: Converse of the Pythagorean Theorem


Lesson 17: Distance on the Coordinate Plane		1. Find the distance between two points
Lesson 17: Distance on the Coordinate Plane
1. Find the distance between two points

Lesson 18: Applications of the Pythagorean Theorem		1. Pythagorean theorem: find the perimeter
Lesson 18: Applications of the Pythagorean Theorem
1. Pythagorean theorem: find the perimeter

Checkpoint opportunity		1. Checkpoint: Applications of the Pythagorean theorem
Checkpoint opportunity
1. Checkpoint: Applications of the Pythagorean theorem
Topic D - Applications of Radicals and Roots
Lesson 19: Cones and Spheres		1. Volume of rectangular pyramids
Lesson 19: Cones and Spheres
1. Volume of rectangular pyramids

Lesson 20: Truncated Cones
Lesson 20: Truncated Cones


Lesson 21: Volume of Composite Solids
Lesson 21: Volume of Composite Solids


Lesson 22: Average Rate of Change
Lesson 22: Average Rate of Change


Lesson 23: Nonlinear Motion
Lesson 23: Nonlinear Motion

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