IXL skill plan | Level 7-8 plan for Eureka Math2

Skill plan for Eureka Math² - Level 7-8

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 Rational and Irrational Numbers
Topic A - Add and Subtract Rational Numbers
Lesson 1: Adding Integers and Rational Numbers		1. Quantities that combine to zero: word problems 2. Add integers using number lines 3. Integer addition rules 4. Add integers 5. Add rational numbers Also consider: • Absolute value and opposite integers • Add integers using counters • Add three or more integers
Lesson 1: Adding Integers and Rational Numbers
1. Quantities that combine to zero: word problems 2. Add integers using number lines 3. Integer addition rules 4. Add integers 5. Add rational numbers Also consider: • Absolute value and opposite integers • Add integers using counters • Add three or more integers

Lesson 2: KAKOOMA® with Rational Numbers		1. Add positive and negative decimals 2. Add positive and negative fractions
Lesson 2: KAKOOMA® with Rational Numbers
1. Add positive and negative decimals 2. Add positive and negative fractions

Lesson 3: Finding Distances to Find Differences		1. Subtract integers using number lines 2. Complete addition equations with integers Also consider: • Subtract integers using counters
Lesson 3: Finding Distances to Find Differences
1. Subtract integers using number lines 2. Complete addition equations with integers Also consider: • Subtract integers using counters

Lesson 4: Subtracting Integers		1. Integer subtraction rules 2. Subtract integers
Lesson 4: Subtracting Integers
1. Integer subtraction rules 2. Subtract integers

Lesson 5: Subtracting Rational Numbers		1. Subtract positive and negative decimals 2. Subtract positive and negative fractions 3. Subtract rational numbers Also consider: • Add and subtract integers: word problems • Add and subtract positive and negative fractions • Add and subtract positive and negative decimals • Add and subtract rational numbers
Lesson 5: Subtracting Rational Numbers
1. Subtract positive and negative decimals 2. Subtract positive and negative fractions 3. Subtract rational numbers Also consider: • Add and subtract integers: word problems • Add and subtract positive and negative fractions • Add and subtract positive and negative decimals • Add and subtract rational numbers
Topic B - Multiply and Divide Rational Numbers
Lesson 6: Multiplying Integers and Rational Numbers		1. Integer multiplication rules 2. Multiply integers 3. Multiply rational numbers Also consider: • Multiply positive and negative fractions • Multiply positive and negative decimals
Lesson 6: Multiplying Integers and Rational Numbers
1. Integer multiplication rules 2. Multiply integers 3. Multiply rational numbers Also consider: • Multiply positive and negative fractions • Multiply positive and negative decimals

Lesson 7: Exponential Expressions and Relating Multiplication to Division		1. Evaluate powers 2. Integer division rules Also consider: • Apply multiplication and division rules
Lesson 7: Exponential Expressions and Relating Multiplication to Division
1. Evaluate powers 2. Integer division rules Also consider: • Apply multiplication and division rules

Lesson 8: Dividing Integers and Rational Numbers		1. Equal quotients of integers 2. Divide integers 3. Divide rational numbers Also consider: • Divide positive and negative fractions • Divide positive and negative decimals
Lesson 8: Dividing Integers and Rational Numbers
1. Equal quotients of integers 2. Divide integers 3. Divide rational numbers Also consider: • Divide positive and negative fractions • Divide positive and negative decimals

Lesson 9: Decimal Expansions of Rational Numbers		1. Convert fractions to decimals Also consider: • Convert fractions or mixed numbers to terminating decimals • Convert fractions or mixed numbers to repeating decimals
Lesson 9: Decimal Expansions of Rational Numbers
1. Convert fractions to decimals Also consider: • Convert fractions or mixed numbers to terminating decimals • Convert fractions or mixed numbers to repeating decimals
Topic C - Properties of Exponents and Scientific Notation
Lesson 10: Large and Small Positive Numbers		1. Multiply 1-digit numbers by a power of ten: with exponents 2. Convert between standard and scientific notation: large numbers
Lesson 10: Large and Small Positive Numbers
1. Multiply 1-digit numbers by a power of ten: with exponents 2. Convert between standard and scientific notation: large numbers

Lesson 11: Products of Exponential Expressions with Positive Whole-Number Exponents		1. Multiplication with exponents Also consider: • Understanding exponents
Lesson 11: Products of Exponential Expressions with Positive Whole-Number Exponents
1. Multiplication with exponents Also consider: • Understanding exponents

Lesson 12: More Properties of Exponents		1. Power rule with exponents
Lesson 12: More Properties of Exponents
1. Power rule with exponents

Lesson 13: Making Sense of Integer Exponents		1. Understanding negative exponents 2. Evaluate powers with negative or zero exponents 3. Division with exponents Also consider: • Identify equivalent expressions involving exponents I • Identify equivalent expressions involving exponents II
Lesson 13: Making Sense of Integer Exponents
1. Understanding negative exponents 2. Evaluate powers with negative or zero exponents 3. Division with exponents Also consider: • Identify equivalent expressions involving exponents I • Identify equivalent expressions involving exponents II

Lesson 14: Writing Very Large and Very Small Number in Scientific Notation		1. Convert between standard and scientific notation: small numbers 2. Compare numbers written in scientific notation
Lesson 14: Writing Very Large and Very Small Number in Scientific Notation
1. Convert between standard and scientific notation: small numbers 2. Compare numbers written in scientific notation

Lesson 15: Operations with Numbers Written in Scientific Notation		1. Scientific notation on calculators 2. Add and subtract numbers written in scientific notation 3. Multiply numbers written in scientific notation 4. Divide numbers written in scientific notation
Lesson 15: Operations with Numbers Written in Scientific Notation
1. Scientific notation on calculators 2. Add and subtract numbers written in scientific notation 3. Multiply numbers written in scientific notation 4. Divide numbers written in scientific notation

Lesson 16: Applications with Numbers Written in Scientific Notation
Lesson 16: Applications with Numbers Written in Scientific Notation


Lesson 17: Get to the Point
Lesson 17: Get to the Point


Checkpoint opportunity		1. Checkpoint: Properties of exponents 2. Checkpoint: Scientific notation
Checkpoint opportunity
1. Checkpoint: Properties of exponents 2. Checkpoint: Scientific notation
Topic D - Rational and Irrational Numbers
Lesson 18: Solving Equations with Squares and Cubes		1. Solve equations using square roots 2. Solve equations using cube roots Also consider: • Square roots and cube roots • Evaluate squares and cubes
Lesson 18: Solving Equations with Squares and Cubes
1. Solve equations using square roots 2. Solve equations using cube roots Also consider: • Square roots and cube roots • Evaluate squares and cubes

Lesson 19: The Pythagorean Theorem		1. Pythagorean theorem: find the length of the hypotenuse
Lesson 19: The Pythagorean Theorem
1. Pythagorean theorem: find the length of the hypotenuse

Lesson 20: Using the Pythagorean Theorem Lesson 21: Approximating Values of Roots		1. Estimate positive square roots 2. Estimate cube roots
Lesson 20: Using the Pythagorean Theorem Lesson 21: Approximating Values of Roots
1. Estimate positive square roots 2. Estimate cube roots

Lesson 22: Rational and Irrational Numbers		1. Identify rational and irrational numbers 2. Identify rational and irrational square roots 3. Compare and order rational and irrational numbers 4. Irrational numbers on number lines
Lesson 22: Rational and Irrational Numbers
1. Identify rational and irrational numbers 2. Identify rational and irrational square roots 3. Compare and order rational and irrational numbers 4. Irrational numbers on number lines

Lesson 23: Revisiting Equations with Squares and Cubes		1. Solve equations using square roots
Lesson 23: Revisiting Equations with Squares and Cubes
1. Solve equations using square roots

Checkpoint opportunity		1. Checkpoint: Square and cube roots 2. Checkpoint: Approximate irrational numbers
Checkpoint opportunity
1. Checkpoint: Square and cube roots 2. Checkpoint: Approximate irrational numbers

2	Module 2 One- and Two-Variable Equations
Topic A - Solving One-Variable Equations and Inequalities
Lesson 1: Finding Unknown Angle Measures		1. Identify complementary, supplementary, vertical, and adjacent angles 2. Find measures of complementary, supplementary, vertical, and adjacent angles 3. Write and solve equations using angle relationships
Lesson 1: Finding Unknown Angle Measures
1. Identify complementary, supplementary, vertical, and adjacent angles 2. Find measures of complementary, supplementary, vertical, and adjacent angles 3. Write and solve equations using angle relationships

Lesson 2: Using Equivalent Expressions to Solve Equations		1. Simplify expressions by combining like terms 2. Multiply using the distributive property 3. Factors of linear expressions 4. Solve two-step equations Also consider: • Multiply using the distributive property: area models • Factor linear expressions: area models • Identify equivalent linear expressions I • Identify equivalent linear expressions II
Lesson 2: Using Equivalent Expressions to Solve Equations
1. Simplify expressions by combining like terms 2. Multiply using the distributive property 3. Factors of linear expressions 4. Solve two-step equations Also consider: • Multiply using the distributive property: area models • Factor linear expressions: area models • Identify equivalent linear expressions I • Identify equivalent linear expressions II

Lesson 3: Solving Equations		1. Solve two-step equations with fractions 2. Solve two-step equations: word problems Also consider: • Solve equations involving like terms • Solve equations: complete the solution
Lesson 3: Solving Equations
1. Solve two-step equations with fractions 2. Solve two-step equations: word problems Also consider: • Solve equations involving like terms • Solve equations: complete the solution

Lesson 4: Using Equations to Solve Inequalities		1. Write inequalities from number lines 2. Solve one-step inequalities 3. Graph solutions to one-step inequalities
Lesson 4: Using Equations to Solve Inequalities
1. Write inequalities from number lines 2. Solve one-step inequalities 3. Graph solutions to one-step inequalities

Lesson 5: Solving Problems Involving Equations and Inequalities		1. Solve two-step inequalities 2. Graph solutions to two-step inequalities
Lesson 5: Solving Problems Involving Equations and Inequalities
1. Solve two-step inequalities 2. Graph solutions to two-step inequalities

Lesson 6: Expressing Repeating Decimals as Fractions		1. Write a repeating decimal as a fraction Also consider: • Convert between repeating decimals and fractions
Lesson 6: Expressing Repeating Decimals as Fractions
1. Write a repeating decimal as a fraction Also consider: • Convert between repeating decimals and fractions
Topic B - Multi-Step Equations and Their Solutions
Lesson 7: Solving Multi-Step Equations		1. Properties of equality 2. Solve equations with variables on both sides Also consider: • Which x satisfies an equation?
Lesson 7: Solving Multi-Step Equations
1. Properties of equality 2. Solve equations with variables on both sides Also consider: • Which x satisfies an equation?

Lesson 8: Solving Equations with Rational Coefficients		1. Solve equations with variables on both sides: fractional coefficients 2. Solve multi-step equations with fractional coefficients Also consider: • Solve equations: mixed review • Solve multi-step equations: complete the solution
Lesson 8: Solving Equations with Rational Coefficients
1. Solve equations with variables on both sides: fractional coefficients 2. Solve multi-step equations with fractional coefficients Also consider: • Solve equations: mixed review • Solve multi-step equations: complete the solution

Lesson 9: Linear Equations with More Than One Solution Lesson 10: Another Possible Number of Solutions		1. Find the number of solutions 2. Create equations with no solutions or infinitely many solutions
Lesson 9: Linear Equations with More Than One Solution Lesson 10: Another Possible Number of Solutions
1. Find the number of solutions 2. Create equations with no solutions or infinitely many solutions

Lesson 11: Using Linear Equations to Solve Real-World Problems		1. Solve one-step and two-step equations: word problems 2. Solve equations with variables on both sides: word problems
Lesson 11: Using Linear Equations to Solve Real-World Problems
1. Solve one-step and two-step equations: word problems 2. Solve equations with variables on both sides: word problems

Checkpoint opportunity		1. Checkpoint: Rational and irrational numbers 2. Checkpoint: Solve linear equations
Checkpoint opportunity
1. Checkpoint: Rational and irrational numbers 2. Checkpoint: Solve linear equations
Topic C - From Ratio Relationships to Proportional Relationships
Lesson 12: An Experiment with Ratios and Rates (Optional)		1. Unit rates 2. Compare ratios: word problems 3. Compare rates: word problems Also consider: • Ratio tables • Unit rates: word problems • Unit prices
Lesson 12: An Experiment with Ratios and Rates (Optional)
1. Unit rates 2. Compare ratios: word problems 3. Compare rates: word problems Also consider: • Ratio tables • Unit rates: word problems • Unit prices

Lesson 13: Exploring Tables of Proportional Relationships		1. Find the constant of proportionality from a table 2. Write equations for proportional relationships from tables 3. Identify proportional relationships from tables Also consider: • Use tape diagrams to solve ratio word problems • Do the ratios form a proportion? • Do the ratios form a proportion: word problems
Lesson 13: Exploring Tables of Proportional Relationships
1. Find the constant of proportionality from a table 2. Write equations for proportional relationships from tables 3. Identify proportional relationships from tables Also consider: • Use tape diagrams to solve ratio word problems • Do the ratios form a proportion? • Do the ratios form a proportion: word problems

Lesson 14: Exploring Graphs of Proportional Relationships		1. Identify proportional relationships by graphing 2. Write equations for proportional relationships from graphs 3. Interpret graphs of proportional relationships
Lesson 14: Exploring Graphs of Proportional Relationships
1. Identify proportional relationships by graphing 2. Write equations for proportional relationships from graphs 3. Interpret graphs of proportional relationships

Lesson 15: Relating Representations of Proportional Relationships		1. Complete a table and graph a proportional relationship 2. Graph a proportional relationship: word problems
Lesson 15: Relating Representations of Proportional Relationships
1. Complete a table and graph a proportional relationship 2. Graph a proportional relationship: word problems

Lesson 16: Applying Proportional Reasoning		1. Write and solve equations for proportional relationships
Lesson 16: Applying Proportional Reasoning
1. Write and solve equations for proportional relationships

Lesson 17: Using Proportional Reasoning to Solve Multi-Step Problems		1. Solve proportions: word problems 2. Estimate population size using proportions
Lesson 17: Using Proportional Reasoning to Solve Multi-Step Problems
1. Solve proportions: word problems 2. Estimate population size using proportions

Lesson 18: Handstand Sprint
Lesson 18: Handstand Sprint

Topic D - Percents and Proportional Relationships
Lesson 19: Proportional Reasoning and Percents		1. Percents of numbers: word problems 2. Solve percent equations 3. Solve percent equations: word problems Also consider: • Percents of numbers and money amounts
Lesson 19: Proportional Reasoning and Percents
1. Percents of numbers: word problems 2. Solve percent equations 3. Solve percent equations: word problems Also consider: • Percents of numbers and money amounts

Lesson 20: Commissions, Fees, and Taxes		1. Commission and shipping and handling 2. Sales tax
Lesson 20: Commissions, Fees, and Taxes
1. Commission and shipping and handling 2. Sales tax

Lesson 21: Discount, Markup, Sales Tax, and Tip		1. Which is the better coupon? 2. Percent of a number: tax, discount, and more 3. Find the percent: tax, discount, and more Also consider: • Sale prices: find the original price
Lesson 21: Discount, Markup, Sales Tax, and Tip
1. Which is the better coupon? 2. Percent of a number: tax, discount, and more 3. Find the percent: tax, discount, and more Also consider: • Sale prices: find the original price

Lesson 22: Percent Increase and Percent Decrease		1. Percent of change 2. Percent of change: word problems 3. Percent of change: find the original amount word problems
Lesson 22: Percent Increase and Percent Decrease
1. Percent of change 2. Percent of change: word problems 3. Percent of change: find the original amount word problems

Lesson 23: What Is the Best Deal?		1. Multi-step problems with percents
Lesson 23: What Is the Best Deal?
1. Multi-step problems with percents

Lesson 24: Simple Interest		1. Simple interest
Lesson 24: Simple Interest
1. Simple interest

Lesson 25: Applying Percent Error		1. Percent error: word problems
Lesson 25: Applying Percent Error
1. Percent error: word problems

3	Module 3 Two-Dimensional Geometry
Topic A - Triangles and Circles
Lesson 1: Sketching and Constructing Geometric Figures		1. Triangle inequality 2. Draw quadrilaterals 3. Classify quadrilaterals I 4. Classify quadrilaterals II
Lesson 1: Sketching and Constructing Geometric Figures
1. Triangle inequality 2. Draw quadrilaterals 3. Classify quadrilaterals I 4. Classify quadrilaterals II

Lesson 2: Conditions of Unique Triangles
Lesson 2: Conditions of Unique Triangles


Lesson 3: Exploring and Constructing Circles		1. Center, radius, and diameter of a circle
Lesson 3: Exploring and Constructing Circles
1. Center, radius, and diameter of a circle

Lesson 4: Area and Circumference of a Circle		1. Area of circles 2. Area and circumference of circles
Lesson 4: Area and Circumference of a Circle
1. Area of circles 2. Area and circumference of circles

Lesson 5: Area and Circumference of Circular Regions		1. Circles: word problems 2. Area of semicircles and quarter circles 3. Area of complex figures involving circles 4. Perimeter of semicircles and quarter circles
Lesson 5: Area and Circumference of Circular Regions
1. Circles: word problems 2. Area of semicircles and quarter circles 3. Area of complex figures involving circles 4. Perimeter of semicircles and quarter circles

Lesson 6: Watering a Lawn (Optional)
Lesson 6: Watering a Lawn (Optional)

Topic B - Rigid Motions and Congruence
Lesson 7: Motions of the Plane		1. Identify reflections, rotations, and translations
Lesson 7: Motions of the Plane
1. Identify reflections, rotations, and translations

Lesson 8: Translations, Reflections, and Rotations Lesson 9: Rigid Motions on the Coordinate Plane		1. Translations: graph the image 2. Reflections over the x- and y-axes: graph the image 3. Rotations: graph the image Also consider: • Translations: find the coordinates • Reflections over the x- and y-axes: find the coordinates • Rotations: find the coordinates
Lesson 8: Translations, Reflections, and Rotations Lesson 9: Rigid Motions on the Coordinate Plane
1. Translations: graph the image 2. Reflections over the x- and y-axes: graph the image 3. Rotations: graph the image Also consider: • Translations: find the coordinates • Reflections over the x- and y-axes: find the coordinates • Rotations: find the coordinates

Lesson 10: Sequencing the Rigid Motions		1. Sequences of congruence transformations: graph the image 2. Sequences of congruence transformations: choose the sequence 3. Describe transformations Also consider: • Rotate polygons about a point
Lesson 10: Sequencing the Rigid Motions
1. Sequences of congruence transformations: graph the image 2. Sequences of congruence transformations: choose the sequence 3. Describe transformations Also consider: • Rotate polygons about a point

Lesson 11: Showing Figures Are Congruent		1. Determine if two figures are congruent: justify your answer Also consider: • Side lengths and angle measures of congruent figures
Lesson 11: Showing Figures Are Congruent
1. Determine if two figures are congruent: justify your answer Also consider: • Side lengths and angle measures of congruent figures

Checkpoint opportunity		1. Checkpoint: Congruence transformations
Checkpoint opportunity
1. Checkpoint: Congruence transformations
Topic C - Applications of Congruence
Lesson 12: Lines Cut by a Transversal		1. Transversals of parallel lines: find angle measures 2. Transversals of parallel lines: name angle pairs 3. Transversals of parallel lines: solve for x Also consider: • Identify alternate interior and alternate exterior angles
Lesson 12: Lines Cut by a Transversal
1. Transversals of parallel lines: find angle measures 2. Transversals of parallel lines: name angle pairs 3. Transversals of parallel lines: solve for x Also consider: • Identify alternate interior and alternate exterior angles

Lesson 13: Angle Sum of a Triangle		1. Find missing angles in triangles 2. Triangle Angle-Sum Theorem
Lesson 13: Angle Sum of a Triangle
1. Find missing angles in triangles 2. Triangle Angle-Sum Theorem

Lesson 14: Exterior Angles of Triangles		1. Exterior Angle Theorem
Lesson 14: Exterior Angles of Triangles
1. Exterior Angle Theorem

Lesson 15: Proving the Pythagorean Theorem
Lesson 15: Proving the Pythagorean Theorem


Lesson 16: Proving the Converse of the Pythagorean Theorem		1. Pythagorean theorem: find the missing leg length 2. Converse of the Pythagorean theorem: is it a right triangle? Also consider: • Pythagorean theorem: find the missing leg or hypotenuse length
Lesson 16: Proving the Converse of the Pythagorean Theorem
1. Pythagorean theorem: find the missing leg length 2. Converse of the Pythagorean theorem: is it a right triangle? Also consider: • Pythagorean theorem: find the missing leg or hypotenuse length

Lesson 17: Applications of the Pythagorean Theorem		1. Find the distance between two points 2. Pythagorean theorem: word problems Also consider: • Pythagorean theorem: find the perimeter
Lesson 17: Applications of the Pythagorean Theorem
1. Find the distance between two points 2. Pythagorean theorem: word problems Also consider: • Pythagorean theorem: find the perimeter

Checkpoint opportunity		1. Checkpoint: Pythagorean theorem and its converse 2. Checkpoint: Applications of the Pythagorean theorem
Checkpoint opportunity
1. Checkpoint: Pythagorean theorem and its converse 2. Checkpoint: Applications of the Pythagorean theorem
Topic D - Scale Drawings and Dilations
Lesson 18: Scale Drawings		1. Scale drawings of polygons
Lesson 18: Scale Drawings
1. Scale drawings of polygons

Lesson 19: Finding Actual Distances from a Scale Drawing		1. Scaled polygons
Lesson 19: Finding Actual Distances from a Scale Drawing
1. Scaled polygons

Lesson 20: Scale and Scale Factor		1. Scale drawings: word problems 2. Scale drawings: scale factor word problems 3. Perimeter and area: changes in scale
Lesson 20: Scale and Scale Factor
1. Scale drawings: word problems 2. Scale drawings: scale factor word problems 3. Perimeter and area: changes in scale

Lesson 21: Modeling with Scale Drawings
Lesson 21: Modeling with Scale Drawings


Lesson 22: Dilations
Lesson 22: Dilations

Topic E - Similarity
Lesson 23: Using Lined Paper to Explore Dilations
Lesson 23: Using Lined Paper to Explore Dilations


Lesson 24: Figures and Dilations
Lesson 24: Figures and Dilations


Lesson 25: The Shadowy Hand (Optional)
Lesson 25: The Shadowy Hand (Optional)


Lesson 26: Dilations on the Coordinate Plane		1. Dilations: graph the image 2. Dilations: find the coordinates 3. Dilations: find the scale factor
Lesson 26: Dilations on the Coordinate Plane
1. Dilations: graph the image 2. Dilations: find the coordinates 3. Dilations: find the scale factor

Lesson 27: Similar Figures		1. Similar and congruent figures 2. Determine if two figures are similar: justify your answer Also consider: • Dilations: find scale factor and the center of the dilation
Lesson 27: Similar Figures
1. Similar and congruent figures 2. Determine if two figures are similar: justify your answer Also consider: • Dilations: find scale factor and the center of the dilation

Lesson 28: Exploring Angles in Similar Triangles		1. Identify similar triangles 2. Angle-angle criterion for similar triangles
Lesson 28: Exploring Angles in Similar Triangles
1. Identify similar triangles 2. Angle-angle criterion for similar triangles

Lesson 29: Using Similar Figures to Find Unknown Side Lengths		1. Side lengths and angle measures of similar triangles 2. Similar triangles and indirect measurement Also consider: • Side lengths and angle measures of similar figures • Find missing side lengths in proportional triangles
Lesson 29: Using Similar Figures to Find Unknown Side Lengths
1. Side lengths and angle measures of similar triangles 2. Similar triangles and indirect measurement Also consider: • Side lengths and angle measures of similar figures • Find missing side lengths in proportional triangles

Checkpoint opportunity		1. Checkpoint: Triangles and transversals 2. Checkpoint: Similarity transformations 3. Checkpoint: Transformations on the coordinate plane
Checkpoint opportunity
1. Checkpoint: Triangles and transversals 2. Checkpoint: Similarity transformations 3. Checkpoint: Transformations on the coordinate plane

4	Module 4 Graphs of Linear Equations and Systems of Linear Equations
Topic A - Graphs of Linear Equations in Two Variables
Lesson 1: Solutions to Linear Equations in Two Variables		1. Is (x, y) a solution to the linear equation? 2. Evaluate a linear function 3. Relate the graph of an equation to its solutions 4. Complete a table and graph a linear function
Lesson 1: Solutions to Linear Equations in Two Variables
1. Is (x, y) a solution to the linear equation? 2. Evaluate a linear function 3. Relate the graph of an equation to its solutions 4. Complete a table and graph a linear function

Lesson 2: The Graph of a Linear Equation in Two Variables		1. Graph a line from an equation in standard form 2. Standard form: find x- and y-intercepts
Lesson 2: The Graph of a Linear Equation in Two Variables
1. Graph a line from an equation in standard form 2. Standard form: find x- and y-intercepts

Lesson 3: Lines with Special Characteristics		1. Graph a horizontal or vertical line Also consider: • Equations of horizontal and vertical lines
Lesson 3: Lines with Special Characteristics
1. Graph a horizontal or vertical line Also consider: • Equations of horizontal and vertical lines

Lesson 4: Comparing Proportional Relationships		1. Find the constant of proportionality from a graph 2. Compare proportional relationships represented in different ways
Lesson 4: Comparing Proportional Relationships
1. Find the constant of proportionality from a graph 2. Compare proportional relationships represented in different ways
Topic B - Slope and Equation of a Line
Lesson 5: Proportional Relationships and Slope		1. Graph proportional relationships and find the slope
Lesson 5: Proportional Relationships and Slope
1. Graph proportional relationships and find the slope

Lesson 6: Slopes of Rising Lines and Falling Lines		1. Find the slope from a graph 2. Graph a line using slope
Lesson 6: Slopes of Rising Lines and Falling Lines
1. Find the slope from a graph 2. Graph a line using slope

Lesson 7: Using Coordinates to Find Slope		1. Find the slope from two points 2. Find the slope from a table Also consider: • Find a missing coordinate using slope
Lesson 7: Using Coordinates to Find Slope
1. Find the slope from two points 2. Find the slope from a table Also consider: • Find a missing coordinate using slope

Lesson 8: Slope-Intercept Form of the Equation of a Line		1. Graph a line from an equation in slope-intercept form 2. Write a linear equation from a graph 3. Write a linear equation from a slope and y-intercept Also consider: • Slope-intercept form: find the slope and y-intercept
Lesson 8: Slope-Intercept Form of the Equation of a Line
1. Graph a line from an equation in slope-intercept form 2. Write a linear equation from a graph 3. Write a linear equation from a slope and y-intercept Also consider: • Slope-intercept form: find the slope and y-intercept

Lesson 9: Point-Slope Form of the Equation of a Line		1. Point-slope form: write an equation 2. Graph a line from an equation in point-slope form 3. Point-slope form: write an equation from a graph
Lesson 9: Point-Slope Form of the Equation of a Line
1. Point-slope form: write an equation 2. Graph a line from an equation in point-slope form 3. Point-slope form: write an equation from a graph

Lesson 10: Comparing Equations in Different Forms		1. Convert a linear equation in standard form to slope-intercept form 2. Write a linear function from a table Also consider: • Write a linear equation from a slope and a point • Write a linear equation from two points
Lesson 10: Comparing Equations in Different Forms
1. Convert a linear equation in standard form to slope-intercept form 2. Write a linear function from a table Also consider: • Write a linear equation from a slope and a point • Write a linear equation from two points

Checkpoint opportunity		1. Checkpoint: Proportional relationships 2. Checkpoint: Slope and linear equations
Checkpoint opportunity
1. Checkpoint: Proportional relationships 2. Checkpoint: Slope and linear equations
Topic C - Solving Systems of Linear Equations
Lesson 11: Introduction to Systems of Linear Equations		1. Is (x, y) a solution to the system of equations? 2. Solve a system of equations by graphing
Lesson 11: Introduction to Systems of Linear Equations
1. Is (x, y) a solution to the system of equations? 2. Solve a system of equations by graphing

Lesson 12: Identifying Solutions		1. Slopes of parallel lines 2. Equations of parallel lines
Lesson 12: Identifying Solutions
1. Slopes of parallel lines 2. Equations of parallel lines

Lesson 13: More Than One Solution		1. Find the number of solutions to a system of equations by graphing
Lesson 13: More Than One Solution
1. Find the number of solutions to a system of equations by graphing

Lesson 14: Solving Systems of Linear Equations Without Graphing		1. Solve a system of equations in slope-intercept form
Lesson 14: Solving Systems of Linear Equations Without Graphing
1. Solve a system of equations in slope-intercept form

Lesson 15: The Substitution Method		1. Solve a system of equations using substitution
Lesson 15: The Substitution Method
1. Solve a system of equations using substitution

Lesson 16: Choosing a Solution Method		1. Solve a system of equations Also consider: • Find the number of solutions to a system of equations • Solve a system of equations using elimination
Lesson 16: Choosing a Solution Method
1. Solve a system of equations Also consider: • Find the number of solutions to a system of equations • Solve a system of equations using elimination
Topic D - Writing and Solving Systems of Linear Equations
Lesson 17: Writing and Solving Systems of Equations for Mathematical Problems
Lesson 17: Writing and Solving Systems of Equations for Mathematical Problems


Lesson 18: Writing and Solving Systems of Equations for Real-World Problems		1. Solve a system of equations by graphing: word problems 2. Solve a system of equations using substitution: word problems Also consider: • Solve a system of equations using elimination: word problems
Lesson 18: Writing and Solving Systems of Equations for Real-World Problems
1. Solve a system of equations by graphing: word problems 2. Solve a system of equations using substitution: word problems Also consider: • Solve a system of equations using elimination: word problems

Lesson 19: Back to the Coordinate Plane
Lesson 19: Back to the Coordinate Plane


Lesson 20: Modeling a Real-World Problem
Lesson 20: Modeling a Real-World Problem


Checkpoint opportunity		1. Checkpoint: Systems of equations
Checkpoint opportunity
1. Checkpoint: Systems of equations

5	Module 5 Functions and Three-Dimensional Geometry
Topic A - Functions
Lesson 1: Motion and Speed
Lesson 1: Motion and Speed


Lesson 2: Definition of a Function		1. Identify functions 2. Complete a table for a linear function
Lesson 2: Definition of a Function
1. Identify functions 2. Complete a table for a linear function

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

Lesson 4: More Examples of Functions		1. Identify linear and nonlinear functions: tables
Lesson 4: More Examples of Functions
1. Identify linear and nonlinear functions: tables

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

Checkpoint opportunity		1. Checkpoint: Understand functions
Checkpoint opportunity
1. Checkpoint: Understand functions
Topic B - Linear and Nonlinear Functions
Lesson 6: Linear Functions and Rates of Change		1. Identify linear and nonlinear functions 2. Rate of change of a linear function: graphs Also consider: • Rate of change: tables • Rate of change: graphs
Lesson 6: Linear Functions and Rates of Change
1. Identify linear and nonlinear functions 2. Rate of change of a linear function: graphs Also consider: • Rate of change: tables • Rate of change: graphs

Lesson 7: Interpreting Rate of Change and Initial Value		1. Interpret the slope and y-intercept of a linear function
Lesson 7: Interpreting Rate of Change and Initial Value
1. Interpret the slope and y-intercept of a linear function

Lesson 8: Comparing Functions		1. Compare linear functions: graphs and equations 2. Compare linear functions: tables, graphs, and equations
Lesson 8: Comparing Functions
1. Compare linear functions: graphs and equations 2. Compare linear functions: tables, graphs, and equations

Lesson 9: Increasing and Decreasing Functions
Lesson 9: Increasing and Decreasing Functions


Lesson 10: Graphs of Nonlinear Functions		1. Identify linear and nonlinear functions: graphs and equations Also consider: • Identify graphs: word problems
Lesson 10: Graphs of Nonlinear Functions
1. Identify linear and nonlinear functions: graphs and equations Also consider: • Identify graphs: word problems

Checkpoint opportunity		1. Checkpoint: Compare linear functions 2. Checkpoint: Linear and nonlinear functions 3. Checkpoint: Construct and interpret linear functions 4. Checkpoint: Sketch and describe graphs
Checkpoint opportunity
1. Checkpoint: Compare linear functions 2. Checkpoint: Linear and nonlinear functions 3. Checkpoint: Construct and interpret linear functions 4. Checkpoint: Sketch and describe graphs
Topic C - Surface Area and Cross Sections
Lesson 11: Surface Area of Prisms and Pyramids		1. Surface area of cubes and prisms 2. Surface area of pyramids Also consider: • Lateral area of prisms and pyramids
Lesson 11: Surface Area of Prisms and Pyramids
1. Surface area of cubes and prisms 2. Surface area of pyramids Also consider: • Lateral area of prisms and pyramids

Lesson 12: Surface Area of Cylinders (Optional)		1. Surface area of cylinders 2. Lateral area of cylinders
Lesson 12: Surface Area of Cylinders (Optional)
1. Surface area of cylinders 2. Lateral area of cylinders

Lesson 13: Understanding Planes and Cross Sections		1. Cross sections of three-dimensional figures
Lesson 13: Understanding Planes and Cross Sections
1. Cross sections of three-dimensional figures

Lesson 14: Cross Section Scavenger Hunt
Lesson 14: Cross Section Scavenger Hunt


Lesson 15: Proportionality and Scale Factor of Cross Sections
Lesson 15: Proportionality and Scale Factor of Cross Sections

Topic D - Volume
Lesson 16: Volume of Prisms		1. Volume of cubes and prisms
Lesson 16: Volume of Prisms
1. Volume of cubes and prisms

Lesson 17: Volume of Cylinders		1. Volume of cylinders
Lesson 17: Volume of Cylinders
1. Volume of cylinders

Lesson 18: Designing a Fish Tank		1. Volume of cubes and rectangular prisms: word problems
Lesson 18: Designing a Fish Tank
1. Volume of cubes and rectangular prisms: word problems

Lesson 19: Volumes of Pyramids and Cones		1. Volume of pyramids 2. Volume of cones
Lesson 19: Volumes of Pyramids and Cones
1. Volume of pyramids 2. Volume of cones

Lesson 20: Volumes of Spheres		1. Volume of spheres
Lesson 20: Volumes of Spheres
1. Volume of spheres

Lesson 21: Volume of Composite Solids		1. Volume of prisms: advanced
Lesson 21: Volume of Composite Solids
1. Volume of prisms: advanced

Lesson 22: Volumes of Truncated Cones and Pyramids (Optional)
Lesson 22: Volumes of Truncated Cones and Pyramids (Optional)


Lesson 23: Applications of Volume
Lesson 23: Applications of Volume


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

6	Module 6 Probability and Statistics
Topic A - Calculating and Interpreting Probabilities
Lesson 1: What Is Probability?		1. Use collected data to find probabilities 2. Experimental probability
Lesson 1: What Is Probability?
1. Use collected data to find probabilities 2. Experimental probability

Lesson 2: Outcomes of Chance Experiments		1. Sample spaces of simple events 2. Use collected data to make predictions 3. Make predictions using experimental probability Also consider: • Create relative frequency tables
Lesson 2: Outcomes of Chance Experiments
1. Sample spaces of simple events 2. Use collected data to make predictions 3. Make predictions using experimental probability Also consider: • Create relative frequency tables

Lesson 3: Theoretical Probability		1. Probability of simple events 2. Make predictions using theoretical probability 3. Sample spaces for compound events using lists and tables
Lesson 3: Theoretical Probability
1. Probability of simple events 2. Make predictions using theoretical probability 3. Sample spaces for compound events using lists and tables

Lesson 4: Multistage Experiments		1. Samples spaces for compound events using tree diagrams 2. Find the number of outcomes: word problems 3. Probability of compound events Also consider: • Compound events: find the number of outcomes • Compound events: find the number of sums
Lesson 4: Multistage Experiments
1. Samples spaces for compound events using tree diagrams 2. Find the number of outcomes: word problems 3. Probability of compound events Also consider: • Compound events: find the number of outcomes • Compound events: find the number of sums

Lesson 5: Outcomes That Are Not Equally Likely		1. Probability of simple events and opposite events 2. Probability of either one event or another event occurring
Lesson 5: Outcomes That Are Not Equally Likely
1. Probability of simple events and opposite events 2. Probability of either one event or another event occurring
Topic B - Estimating Probabilities
Lesson 6: The Law of Large Numbers Lesson 7: Picking Blue		1. Experimental probability 2. Make predictions using experimental probability
Lesson 6: The Law of Large Numbers Lesson 7: Picking Blue
1. Experimental probability 2. Make predictions using experimental probability

Lesson 8: Probability Simulations		1. Which simulation represents the situation?
Lesson 8: Probability Simulations
1. Which simulation represents the situation?

Lesson 9: Simulations with Random Number Tables
Lesson 9: Simulations with Random Number Tables

Topic C - Random Sampling
Lesson 10: Populations and Samples		1. Identify statistical questions 2. Populations and samples
Lesson 10: Populations and Samples
1. Identify statistical questions 2. Populations and samples

Lesson 11: Selecting a Sample		1. Identify random samples Also consider: • Interpret line plots • Describe distributions in line plots
Lesson 11: Selecting a Sample
1. Identify random samples Also consider: • Interpret line plots • Describe distributions in line plots

Lesson 12: Sampling Variability When Estimating a Population Mean		1. Make inferences from multiple samples
Lesson 12: Sampling Variability When Estimating a Population Mean
1. Make inferences from multiple samples

Lesson 13: Sampling Variability and the Effect of Sample Size		1. Calculate mean absolute deviation
Lesson 13: Sampling Variability and the Effect of Sample Size
1. Calculate mean absolute deviation

Lesson 14: Sampling Variability When Estimating a Population Proportion
Lesson 14: Sampling Variability When Estimating a Population Proportion

Topic D - Comparing Populations
Lesson 15: Comparing Sample Means
Lesson 15: Comparing Sample Means


Lesson 16: Comparing Population Means		1. Interpret mean and mean absolute deviation 2. Compare populations using line plots
Lesson 16: Comparing Population Means
1. Interpret mean and mean absolute deviation 2. Compare populations using line plots

Lesson 17: Memory Games
Lesson 17: Memory Games

Topic E - Bivariate Numerical Data
Lesson 18: Scatter Plots		1. Interpret scatter plots 2. Create scatter plots
Lesson 18: Scatter Plots
1. Interpret scatter plots 2. Create scatter plots

Lesson 19: Patterns in Scatter Plots		1. Identify trends with scatter plots 2. Outliers in scatter plots Also consider: • Make predictions with scatter plots
Lesson 19: Patterns in Scatter Plots
1. Identify trends with scatter plots 2. Outliers in scatter plots Also consider: • Make predictions with scatter plots

Lesson 20: Informally Fitting a Line to Data Lesson 21: Linear Models		1. Identify lines of best fit 2. Write equations for lines of best fit 3. Interpret lines of best fit: word problems
Lesson 20: Informally Fitting a Line to Data Lesson 21: Linear Models
1. Identify lines of best fit 2. Write equations for lines of best fit 3. Interpret lines of best fit: word problems

Checkpoint opportunity		1. Checkpoint: Scatter plots 2. Checkpoint: Lines of best fit 3. Checkpoint: Linear models: interpret and solve
Checkpoint opportunity
1. Checkpoint: Scatter plots 2. Checkpoint: Lines of best fit 3. Checkpoint: Linear models: interpret and solve
Topic F - Bivariate Categorical Data
Lesson 22: Bivariate Categorical Data		1. Find probabilities using two-way frequency tables
Lesson 22: Bivariate Categorical Data
1. Find probabilities using two-way frequency tables

Lesson 23: Association in Bivariate Categorical Data
Lesson 23: Association in Bivariate Categorical Data


Lesson 24: Analyzing Bivariate Categorical Data
Lesson 24: Analyzing Bivariate Categorical Data


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

This document includes the IXL® skill alignments to Great Minds PBC's Eureka Math² curriculum. IXL provides skill alignments as a service to teachers, students, and parents. The skill alignments are provided by IXL and are not affiliated with, sponsored by, reviewed, approved or endorsed by Great Minds PBC or any other third party. IXL® and IXL Learning® are registered trademarks of IXL Learning, Inc. All other intellectual property rights (e.g., unregistered and registered trademarks and copyrights) are the property of their respective owners.