IXL skill plan | Accelerated Grade 7 plan for IM® K-12 Math

Skill plan for IM^® K-12 Math - Accelerated Grade 7

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

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1	Unit 1 Rigid Transformations and Congruence
Section A - Rigid Transformations
Lesson 1: Moving in the Plane		1. Describe how a figure moves
Lesson 1: Moving in the Plane
1. Describe how a figure moves

Lesson 2: Naming the Moves		1. Identify reflections, rotations, and translations
Lesson 2: Naming the Moves
1. Identify reflections, rotations, and translations

Lesson 3: Making the Moves		1. Translations: graph the image 2. Reflections: graph the image 3. Rotations: graph the image Also consider: • Reflections over the x- and y-axes: graph the image • Sequences of congruence transformations: graph the image
Lesson 3: Making the Moves
1. Translations: graph the image 2. Reflections: graph the image 3. Rotations: graph the image Also consider: • Reflections over the x- and y-axes: graph the image • Sequences of congruence transformations: graph the image

Lesson 4: Coordinate Moves		1. Translations: find the coordinates 2. Reflections over the x- and y-axes: find the coordinates 3. Rotations: find the coordinates Also consider: • Reflections: find the coordinates
Lesson 4: Coordinate Moves
1. Translations: find the coordinates 2. Reflections over the x- and y-axes: find the coordinates 3. Rotations: find the coordinates Also consider: • Reflections: find the coordinates

Lesson 5: Describing Transformations		1. Describe transformations 2. Sequences of congruence transformations: choose the sequence 3. Translations: write the rule
Lesson 5: Describing Transformations
1. Describe transformations 2. Sequences of congruence transformations: choose the sequence 3. Translations: write the rule
Section B - Properties of Rigid Transformations
Lesson 6: No Bending or Stretching
Lesson 6: No Bending or Stretching


Lesson 7: Rotation Patterns
Lesson 7: Rotation Patterns


Lesson 8: Moves in Parallel
Lesson 8: Moves in Parallel


Lesson 9: Composing Figures
Lesson 9: Composing Figures

Section C - Congruence
Lesson 10: What Is the Same?
Lesson 10: What Is the Same?


Lesson 11: Congruence		1. Identify congruent figures 2. Congruence statements and corresponding parts Also consider: • Side lengths and angle measures of congruent figures
Lesson 11: Congruence
1. Identify congruent figures 2. Congruence statements and corresponding parts Also consider: • Side lengths and angle measures of congruent figures
Section D - Angles in a Triangle
Lesson 12: Alternate Interior Angles		1. Find measures of angles: one-step problems 2. Find measures of angles: multi-step problems 3. Transversals of parallel lines: find angle measures Also consider: • Identify complementary, supplementary, vertical, and adjacent angles
Lesson 12: Alternate Interior Angles
1. Find measures of angles: one-step problems 2. Find measures of angles: multi-step problems 3. Transversals of parallel lines: find angle measures Also consider: • Identify complementary, supplementary, vertical, and adjacent angles

Lesson 13: Adding the Angles in a Triangle		1. Classify triangles given two angles
Lesson 13: Adding the Angles in a Triangle
1. Classify triangles given two angles

Lesson 14: Parallel Lines and the Angles in a Triangle		1. Find missing angles in triangles
Lesson 14: Parallel Lines and the Angles in a Triangle
1. Find missing angles in triangles
Section E - Drawing Polygons with Given Conditions
Lesson 15: Building Polygons		1. Draw quadrilaterals 2. Triangle inequality
Lesson 15: Building Polygons
1. Draw quadrilaterals 2. Triangle inequality

Lesson 16: Triangles with 3 Common Measures
Lesson 16: Triangles with 3 Common Measures


Lesson 17: Drawing Triangles
Lesson 17: Drawing Triangles

Section F - Let's Put It to Work
Lesson 18: Rotate and Tessellate		1. Rotational symmetry 2. Rotational symmetry: degrees of rotation
Lesson 18: Rotate and Tessellate
1. Rotational symmetry 2. Rotational symmetry: degrees of rotation

2	Unit 2 Scale Drawings, Similarity, and Slope
Section A - Scaled Copies
Lesson 1: What Are Scaled Copies?
Lesson 1: What Are Scaled Copies?


Lesson 2: Scale Factors and Making Scaled Copies
Lesson 2: Scale Factors and Making Scaled Copies


Lesson 3: Scaled Relationships		1. Scale drawings of polygons Also consider: • Perimeter and area: changes in scale
Lesson 3: Scaled Relationships
1. Scale drawings of polygons Also consider: • Perimeter and area: changes in scale
Section B - Scale Drawings
Lesson 4: Scale Drawings		1. Scale drawings: find the actual length
Lesson 4: Scale Drawings
1. Scale drawings: find the actual length

Lesson 5: Creating Scale Drawings		1. Scale drawings: find the scale or scaled length
Lesson 5: Creating Scale Drawings
1. Scale drawings: find the scale or scaled length

Lesson 6: Changing Scales in Scale Drawings
Lesson 6: Changing Scales in Scale Drawings


Lesson 7: Units in Scale Drawings		1. Scale drawings: scale factor word problems Also consider: • Unit rates
Lesson 7: Units in Scale Drawings
1. Scale drawings: scale factor word problems Also consider: • Unit rates
Section C - Dilations
Lesson 8: Projecting and Scaling
Lesson 8: Projecting and Scaling


Lesson 9: Dilations
Lesson 9: Dilations


Lesson 10: Dilations on a Square Grid		1. Dilations: graph the image 2. Dilations: find the coordinates Also consider: • Dilations: find the scale factor
Lesson 10: Dilations on a Square Grid
1. Dilations: graph the image 2. Dilations: find the coordinates Also consider: • Dilations: find the scale factor
Section D - Similarity
Lesson 11: Similarity		1. Determine if two figures are congruent: justify your answer
Lesson 11: Similarity
1. Determine if two figures are congruent: justify your answer

Lesson 12: Similar Polygons		1. Identify similar figures
Lesson 12: Similar Polygons
1. Identify similar figures

Lesson 13: Similar Triangles		1. Identify similar triangles 2. Angle-angle criterion for similar triangles
Lesson 13: Similar Triangles
1. Identify similar triangles 2. Angle-angle criterion for similar triangles

Lesson 14: Side Length Quotients in Similar Triangles		1. Side lengths and angle measures of similar triangles Also consider: • Side lengths and angle measures of similar figures
Lesson 14: Side Length Quotients in Similar Triangles
1. Side lengths and angle measures of similar triangles Also consider: • Side lengths and angle measures of similar figures
Section E - Slope
Lesson 15: Meet Slope		1. Find the slope from a graph 2. Graph a line using a positive slope
Lesson 15: Meet Slope
1. Find the slope from a graph 2. Graph a line using a positive slope

Lesson 16: Writing Equations for Lines
Lesson 16: Writing Equations for Lines


Lesson 17: Using Equations for Lines		1. Does (x, y) satisfy an equation?
Lesson 17: Using Equations for Lines
1. Does (x, y) satisfy an equation?
Section F - Let's Put It to Work
Lesson 18: Draw It to Scale
Lesson 18: Draw It to Scale


Lesson 19: The Shadow Knows		1. Similar figures and indirect measurement
Lesson 19: The Shadow Knows
1. Similar figures and indirect measurement

3	Unit 3 Writing and Solving Equations
Section A - Representing Situations of the Form px + q = r and p(x + q) = r
Lesson 1: Relationships between Quantities		1. Complete a table and make a graph: word problems
Lesson 1: Relationships between Quantities
1. Complete a table and make a graph: word problems

Lesson 2: Reasoning About Contexts with Tape Diagrams
Lesson 2: Reasoning About Contexts with Tape Diagrams


Lesson 3: Reasoning About Equations with Tape Diagrams		1. Model equations using algebra tiles 2. Model equations using length diagrams
Lesson 3: Reasoning About Equations with Tape Diagrams
1. Model equations using algebra tiles 2. Model equations using length diagrams

Lesson 4: Reasoning About Equations and Tape Diagrams (Part 1)		1. Choose one-step equations: word problems
Lesson 4: Reasoning About Equations and Tape Diagrams (Part 1)
1. Choose one-step equations: word problems

Lesson 5: Reasoning About Equations and Tape Diagrams (Part 2)		1. Solve one-step equations: word problems
Lesson 5: Reasoning About Equations and Tape Diagrams (Part 2)
1. Solve one-step equations: word problems

Lesson 6: Distinguishing between Two Types of Situations		1. Choose two-step equations: word problems
Lesson 6: Distinguishing between Two Types of Situations
1. Choose two-step equations: word problems
Section B - Solving Equations of the Form px + q = r and p(x + q) = r and Problems That Lead to Those Equations
Lesson 7: Reasoning About Solving Equations (Part 1)		1. Solve equations with positive numbers using algebra tiles 2. Solve equations with positive numbers
Lesson 7: Reasoning About Solving Equations (Part 1)
1. Solve equations with positive numbers using algebra tiles 2. Solve equations with positive numbers

Lesson 8: Reasoning About Solving Equations (Part 2)		1. Solve equations with positive numbers: with parentheses
Lesson 8: Reasoning About Solving Equations (Part 2)
1. Solve equations with positive numbers: with parentheses

Lesson 9: Dealing with Negative Numbers		1. Solve equations with negative numbers using algebra tiles 2. Solve equations with negative numbers
Lesson 9: Dealing with Negative Numbers
1. Solve equations with negative numbers using algebra tiles 2. Solve equations with negative numbers

Lesson 10: Different Options for Solving One Equation		1. Solve equations with negative numbers: with parentheses 2. Solve two-step equations with fractions
Lesson 10: Different Options for Solving One Equation
1. Solve equations with negative numbers: with parentheses 2. Solve two-step equations with fractions

Lesson 11: Using Equations to Solve Problems		1. Solve two-step equations: word problems 2. Solve equations: complete the solution
Lesson 11: Using Equations to Solve Problems
1. Solve two-step equations: word problems 2. Solve equations: complete the solution

Lesson 12: Solving Problems About Percent Increase or Decrease		1. Multi-step problems with percents
Lesson 12: Solving Problems About Percent Increase or Decrease
1. Multi-step problems with percents

Lesson 13: Using Equations to Solve for Unknown Angles		1. Write and solve equations using angle relationships
Lesson 13: Using Equations to Solve for Unknown Angles
1. Write and solve equations using angle relationships

4	Unit 4 Inequalities, Expressions, and Equations
Section A - Inequalities
Lesson 1: Writing and Graphing Inequalities		1. Graph inequalities on number lines 2. Write inequalities from number lines
Lesson 1: Writing and Graphing Inequalities
1. Graph inequalities on number lines 2. Write inequalities from number lines

Lesson 2: Solutions of Inequalities		1. Solutions to inequalities
Lesson 2: Solutions of Inequalities
1. Solutions to inequalities

Lesson 3: Interpreting Inequalities		1. Write and graph inequalities: word problems
Lesson 3: Interpreting Inequalities
1. Write and graph inequalities: word problems

Lesson 4: Finding Solutions to Inequalities in Context		1. Solve one-step inequalities 2. One-step inequalities: word problems Also consider: • Graph solutions to one-step inequalities
Lesson 4: Finding Solutions to Inequalities in Context
1. Solve one-step inequalities 2. One-step inequalities: word problems Also consider: • Graph solutions to one-step inequalities

Lesson 5: Efficiently Solving Inequalities		1. Solve two-step inequalities 2. Graph solutions to two-step inequalities
Lesson 5: Efficiently Solving Inequalities
1. Solve two-step inequalities 2. Graph solutions to two-step inequalities

Lesson 6: Modeling with Inequalities
Lesson 6: Modeling with Inequalities

Section B - Writing Equivalent Expressions
Lesson 7: Subtraction in Equivalent Expressions		1. Write equivalent expressions using properties 2. Multiply using the distributive property: area models Also consider: • Identify terms and coefficients
Lesson 7: Subtraction in Equivalent Expressions
1. Write equivalent expressions using properties 2. Multiply using the distributive property: area models Also consider: • Identify terms and coefficients

Lesson 8: Expanding and Factoring		1. Multiply using the distributive property 2. Factor linear expressions: area models 3. Factors of linear expressions Also consider: • Sort factors of variable expressions
Lesson 8: Expanding and Factoring
1. Multiply using the distributive property 2. Factor linear expressions: area models 3. Factors of linear expressions Also consider: • Sort factors of variable expressions

Lesson 9: Combining Like Terms (Part 1)		1. Simplify expressions by combining like terms: with algebra tiles 2. Simplify expressions by combining like terms Also consider: • Solve equations using properties
Lesson 9: Combining Like Terms (Part 1)
1. Simplify expressions by combining like terms: with algebra tiles 2. Simplify expressions by combining like terms Also consider: • Solve equations using properties

Lesson 10: Combining Like Terms (Part 2)		1. Simplify linear expressions
Lesson 10: Combining Like Terms (Part 2)
1. Simplify linear expressions

Lesson 11: Combining Like Terms (Part 3)		1. Identify equivalent linear expressions I 2. Identify equivalent linear expressions II
Lesson 11: Combining Like Terms (Part 3)
1. Identify equivalent linear expressions I 2. Identify equivalent linear expressions II
Section C - Equations in One Variable
Lesson 12: Balanced Moves		1. Solve equations with variables on both sides: complete the solution 2. Identify equivalent equations Also consider: • Which x satisfies an equation?
Lesson 12: Balanced Moves
1. Solve equations with variables on both sides: complete the solution 2. Identify equivalent equations Also consider: • Which x satisfies an equation?

Lesson 13: More Balanced Moves		1. Solve equations with variables on both sides 2. Solve equations with variables on both sides: fractional coefficients 3. Solve multi-step equations with the distributive property
Lesson 13: More Balanced Moves
1. Solve equations with variables on both sides 2. Solve equations with variables on both sides: fractional coefficients 3. Solve multi-step equations with the distributive property

Lesson 14: Strategic Solving		1. Solve equations: mixed review
Lesson 14: Strategic Solving
1. Solve equations: mixed review

Lesson 15: All, Some, or No Solutions		1. Create equations with no solutions or infinitely many solutions
Lesson 15: All, Some, or No Solutions
1. Create equations with no solutions or infinitely many solutions

Lesson 16: How Many Solutions?		1. Find the number of solutions
Lesson 16: How Many Solutions?
1. Find the number of solutions

Lesson 17: When Are They the Same?		1. Solve equations with variables on both sides: word problems
Lesson 17: When Are They the Same?
1. Solve equations with variables on both sides: word problems
Section D - Let's Put It to Work
Lesson 18: Applications of Expressions		1. Identify equivalent linear expressions: word problems Also consider: • Which is the better coupon?
Lesson 18: Applications of Expressions
1. Identify equivalent linear expressions: word problems Also consider: • Which is the better coupon?

5	Unit 5 Linear Relationships
Section A - Proportional Relationships
Lesson 1: Understanding Proportional Relationships		1. Graph proportional relationships 2. Interpret graphs of proportional relationships
Lesson 1: Understanding Proportional Relationships
1. Graph proportional relationships 2. Interpret graphs of proportional relationships

Lesson 2: Representing Proportional Relationships		1. Graph a proportional relationship: word problems 2. Ratios and rates: complete a table and make a graph 3. Write equations for proportional relationships from tables 4. Write equations for proportional relationships from graphs Also consider: • Find the constant of proportionality from a table • Graph proportional relationships and find the slope
Lesson 2: Representing Proportional Relationships
1. Graph a proportional relationship: word problems 2. Ratios and rates: complete a table and make a graph 3. Write equations for proportional relationships from tables 4. Write equations for proportional relationships from graphs Also consider: • Find the constant of proportionality from a table • Graph proportional relationships and find the slope

Lesson 3: Comparing Proportional Relationships		1. Compare proportional relationships represented in different ways
Lesson 3: Comparing Proportional Relationships
1. Compare proportional relationships represented in different ways
Section B - Representing Linear Relationships
Lesson 4: Introduction to Linear Relationships		1. Constant rate of change: graphs Also consider: • Identify proportional relationships by graphing • Identify proportional relationships from graphs and equations • Identify proportional relationships from tables
Lesson 4: Introduction to Linear Relationships
1. Constant rate of change: graphs Also consider: • Identify proportional relationships by graphing • Identify proportional relationships from graphs and equations • Identify proportional relationships from tables

Lesson 5: More Linear Relationships		1. Interpret the slope and y-intercept of a linear function: positive slopes 2. Interpret the slope and y-intercept of a linear function
Lesson 5: More Linear Relationships
1. Interpret the slope and y-intercept of a linear function: positive slopes 2. Interpret the slope and y-intercept of a linear function

Lesson 6: Representations of Linear Relationships		1. Write a linear equation from a graph 2. Graph a line from an equation
Lesson 6: Representations of Linear Relationships
1. Write a linear equation from a graph 2. Graph a line from an equation

Lesson 7: Translating to y = mx + b		1. Slope-intercept form: find the slope and y-intercept 2. Identify the graph of an equation 3. Write linear equations: word problems
Lesson 7: Translating to y = mx + b
1. Slope-intercept form: find the slope and y-intercept 2. Identify the graph of an equation 3. Write linear equations: word problems
Section C - Finding Slopes and Linear Equations
Lesson 8: Slopes Don't Have to be Positive		1. Find the slope of a graph II
Lesson 8: Slopes Don't Have to be Positive
1. Find the slope of a graph II

Lesson 9: Slopes and Equations for All Kinds of Lines		1. Find the slope from two points 2. Graph a line using slope 3. Graph a line from an equation in slope-intercept form 4. Write a linear equation from a slope and y-intercept Also consider: • Find a missing coordinate using slope • Horizontal and vertical lines
Lesson 9: Slopes and Equations for All Kinds of Lines
1. Find the slope from two points 2. Graph a line using slope 3. Graph a line from an equation in slope-intercept form 4. Write a linear equation from a slope and y-intercept Also consider: • Find a missing coordinate using slope • Horizontal and vertical lines

Lesson 10: Solutions to Linear Equations		1. Relate the graph of an equation to its solutions 2. Does (x, y) satisfy the equation? 3. Graph a line from an equation in standard form 4. Interpret the slope and y-intercept of a linear function
Lesson 10: Solutions to Linear Equations
1. Relate the graph of an equation to its solutions 2. Does (x, y) satisfy the equation? 3. Graph a line from an equation in standard form 4. Interpret the slope and y-intercept of a linear function

Lesson 11: More Solutions to Linear Equations		1. Evaluate a linear function: word problems 2. Find x- and y-intercepts Also consider: • Convert a linear equation to slope-intercept form
Lesson 11: More Solutions to Linear Equations
1. Evaluate a linear function: word problems 2. Find x- and y-intercepts Also consider: • Convert a linear equation to slope-intercept form
Section D - Systems of Linear Equations
Lesson 12: On Both of the Lines		1. Solve a system of equations by graphing Also consider: • Is (x, y) a solution to the system of equations?
Lesson 12: On Both of the Lines
1. Solve a system of equations by graphing Also consider: • Is (x, y) a solution to the system of equations?

Lesson 13: Systems of Equations		1. Solve a system of equations by graphing: word problems 2. Find the number of solutions to a system of equations by graphing
Lesson 13: Systems of Equations
1. Solve a system of equations by graphing: word problems 2. Find the number of solutions to a system of equations by graphing

Lesson 14: Solving Systems of Equations		1. Solve a system of equations in slope-intercept form
Lesson 14: Solving Systems of Equations
1. Solve a system of equations in slope-intercept form

Lesson 15: Solving More Systems		1. Solve a system of equations using substitution
Lesson 15: Solving More Systems
1. Solve a system of equations using substitution

Lesson 16: Writing Systems of Equations		1. Find the number of solutions to a system of equations
Lesson 16: Writing Systems of Equations
1. Find the number of solutions to a system of equations
Section E - Associations in Numerical Data
Lesson 17: Organizing Data		1. Create scatter plots
Lesson 17: Organizing Data
1. Create scatter plots

Lesson 18: What a Point in a Scatter Plot Means		1. Interpret scatter plots
Lesson 18: What a Point in a Scatter Plot Means
1. Interpret scatter plots

Lesson 19: Fitting a Line to Data		1. Make predictions with scatter plots 2. Outliers in scatter plots
Lesson 19: Fitting a Line to Data
1. Make predictions with scatter plots 2. Outliers in scatter plots

Lesson 20: Describing Trends in Scatter Plots		1. Identify trends with scatter plots 2. Identify lines of best fit
Lesson 20: Describing Trends in Scatter Plots
1. Identify trends with scatter plots 2. Identify lines of best fit

Lesson 21: The Slope of a Fitted Line		1. Interpret lines of best fit: word problems
Lesson 21: The Slope of a Fitted Line
1. Interpret lines of best fit: word problems

Lesson 22: Observing More Patterns in Scatter Plots		1. Write equations for lines of best fit
Lesson 22: Observing More Patterns in Scatter Plots
1. Write equations for lines of best fit
Section F - Associations in Categorical Data
Lesson 23: Looking for Associations		1. Two-way tables and bar graphs
Lesson 23: Looking for Associations
1. Two-way tables and bar graphs

Lesson 24: Using Data Displays to Find Associations		1. Find probabilities using two-way frequency tables
Lesson 24: Using Data Displays to Find Associations
1. Find probabilities using two-way frequency tables
Section G - Let's Put It to Work
Lesson 25: Using Linear Relations to Solve Problems
Lesson 25: Using Linear Relations to Solve Problems


Lesson 26: Solving Problems with Systems of Equations		1. Solve a system of equations using substitution: word problems
Lesson 26: Solving Problems with Systems of Equations
1. Solve a system of equations using substitution: word problems

Lesson 27: Gone in 30 Seconds
Lesson 27: Gone in 30 Seconds

6	Unit 6 Functions and Volume
Section A - Inputs and Outputs
Lesson 1: Inputs and Outputs		1. Complete an input/output table 2. Input/output tables: find the rule
Lesson 1: Inputs and Outputs
1. Complete an input/output table 2. Input/output tables: find the rule

Lesson 2: Introduction to Functions		1. Identify functions: tables
Lesson 2: Introduction to Functions
1. Identify functions: tables
Section B - Representing and Interpreting Functions
Lesson 3: Equations for Functions		1. Complete an input/output table using an equation 2. Find the rule: word problems 3. Identify independent and dependent variables Also consider: • Complete a table for a two-variable relationship • Write a linear function from a table
Lesson 3: Equations for Functions
1. Complete an input/output table using an equation 2. Find the rule: word problems 3. Identify independent and dependent variables Also consider: • Complete a table for a two-variable relationship • Write a linear function from a table

Lesson 4: Tables, Equations, and Graphs of Functions		1. Interpret a graph: word problems 2. Identify independent and dependent variables in tables and graphs 3. Identify functions: graphs Also consider: • Identify functions • Complete a table and graph a linear function • Find values using function graphs • Complete a table for a function graph
Lesson 4: Tables, Equations, and Graphs of Functions
1. Interpret a graph: word problems 2. Identify independent and dependent variables in tables and graphs 3. Identify functions: graphs Also consider: • Identify functions • Complete a table and graph a linear function • Find values using function graphs • Complete a table for a function graph

Lesson 5: More Graphs of Functions
Lesson 5: More Graphs of Functions


Lesson 6: Even More Graphs of Functions		1. Identify graphs: word problems
Lesson 6: Even More Graphs of Functions
1. Identify graphs: word problems

Lesson 7: Connecting Representations of Functions		1. Compare linear functions: tables, graphs, and equations
Lesson 7: Connecting Representations of Functions
1. Compare linear functions: tables, graphs, and equations
Section C - Linear Functions and Rates of Change
Lesson 8: Linear Functions		1. Compare linear functions: graphs and equations
Lesson 8: Linear Functions
1. Compare linear functions: graphs and equations

Lesson 9: Linear Models		1. Identify linear and nonlinear functions: tables and graphs
Lesson 9: Linear Models
1. Identify linear and nonlinear functions: tables and graphs

Lesson 10: Piecewise Linear Functions		1. Rate of change: graphs
Lesson 10: Piecewise Linear Functions
1. Rate of change: graphs
Section D - Prisms, Cylinders, and Cones
Lesson 11: Slicing Solids		1. Cross sections of three-dimensional figures 2. Bases of three-dimensional figures
Lesson 11: Slicing Solids
1. Cross sections of three-dimensional figures 2. Bases of three-dimensional figures

Lesson 12: Filling Containers
Lesson 12: Filling Containers


Lesson 13: How Much Will Fit?
Lesson 13: How Much Will Fit?


Lesson 14: Volume of Right Prisms		1. Volume of cubes and prisms
Lesson 14: Volume of Right Prisms
1. Volume of cubes and prisms

Lesson 15: Decomposing Bases for Area		1. Volume of prisms: advanced
Lesson 15: Decomposing Bases for Area
1. Volume of prisms: advanced

Lesson 16: Surface Area of Right Prisms		1. Surface area of cubes and prisms 2. Volume and surface area of prisms
Lesson 16: Surface Area of Right Prisms
1. Surface area of cubes and prisms 2. Volume and surface area of prisms

Lesson 17: Applying Volume and Surface Area		1. Volume of cubes and rectangular prisms: word problems
Lesson 17: Applying Volume and Surface Area
1. Volume of cubes and rectangular prisms: word problems

Lesson 18: The Volume and Dimensions of a Cylinder		1. Volume of cylinders Also consider: • Circumference of circles • Area of circles
Lesson 18: The Volume and Dimensions of a Cylinder
1. Volume of cylinders Also consider: • Circumference of circles • Area of circles

Lesson 19: The Volume of a Cone		1. Volume of cones
Lesson 19: The Volume of a Cone
1. Volume of cones

Lesson 20: Finding Cone Dimensions		1. Volume of cones: find the missing dimension
Lesson 20: Finding Cone Dimensions
1. Volume of cones: find the missing dimension
Section E - Dimensions and Spheres
Lesson 21: Scaling One Dimension
Lesson 21: Scaling One Dimension


Lesson 22: Scaling Two Dimensions		1. Volume: changes in scale I
Lesson 22: Scaling Two Dimensions
1. Volume: changes in scale I

Lesson 23: Estimating a Hemisphere
Lesson 23: Estimating a Hemisphere


Lesson 24: The Volume of a Sphere		1. Volume of spheres
Lesson 24: The Volume of a Sphere
1. Volume of spheres

Lesson 25: Cylinders, Cones, and Spheres
Lesson 25: Cylinders, Cones, and Spheres

Section F - Let's Put It to Work
Lesson 26: Building Prisms		1. Nets of three-dimensional figures
Lesson 26: Building Prisms
1. Nets of three-dimensional figures

Lesson 27: Volume as a Function of…		1. Volume: changes in scale II
Lesson 27: Volume as a Function of…
1. Volume: changes in scale II

7	Unit 7 Exponents and Scientific Notation
Section A - Exponent Review
Lesson 1: Exponent Review		1. Understanding exponents 2. Evaluate powers
Lesson 1: Exponent Review
1. Understanding exponents 2. Evaluate powers
Section B - Exponent Rules
Lesson 2: Multiplying Powers of Ten
Lesson 2: Multiplying Powers of Ten


Lesson 3: Powers of Powers of 10
Lesson 3: Powers of Powers of 10


Lesson 4: Dividing Powers of 10		1. Exponent rules with powers of ten
Lesson 4: Dividing Powers of 10
1. Exponent rules with powers of ten

Lesson 5: Negative Exponents with Powers of 10		1. Evaluate powers with negative or zero exponents 2. Powers of ten with negative exponents Also consider: • Understanding negative exponents
Lesson 5: Negative Exponents with Powers of 10
1. Evaluate powers with negative or zero exponents 2. Powers of ten with negative exponents Also consider: • Understanding negative exponents

Lesson 6: What About Other Bases?		1. Multiplication with exponents 2. Division with exponents 3. Power rule Also consider: • Powers with negative bases
Lesson 6: What About Other Bases?
1. Multiplication with exponents 2. Division with exponents 3. Power rule Also consider: • Powers with negative bases

Lesson 7: Practice with Rational Bases		1. Exponent rules: review
Lesson 7: Practice with Rational Bases
1. Exponent rules: review

Lesson 8: Combining Bases		1. Identify equivalent expressions involving exponents Also consider: • Evaluate expressions using properties of exponents
Lesson 8: Combining Bases
1. Identify equivalent expressions involving exponents Also consider: • Evaluate expressions using properties of exponents
Section C - Scientific Notation
Lesson 9: Describing Large and Small Numbers Using Powers of 10		1. Multiply a whole number by a power of ten: with exponents
Lesson 9: Describing Large and Small Numbers Using Powers of 10
1. Multiply a whole number by a power of ten: with exponents

Lesson 10: Representing Large Numbers on the Number Line		1. Compare large numbers
Lesson 10: Representing Large Numbers on the Number Line
1. Compare large numbers

Lesson 11: Representing Small Numbers on the Number Line		1. Compare small numbers
Lesson 11: Representing Small Numbers on the Number Line
1. Compare small numbers

Lesson 12: Applications of Arithmetic with Powers of 10		1. Scientific notation
Lesson 12: Applications of Arithmetic with Powers of 10
1. Scientific notation

Lesson 13: Multiplying, Dividing, and Estimating with Scientific Notation		1. Compare numbers written in scientific notation 2. Multiply numbers written in scientific notation 3. Divide numbers written in scientific notation
Lesson 13: Multiplying, Dividing, and Estimating with Scientific Notation
1. Compare numbers written in scientific notation 2. Multiply numbers written in scientific notation 3. Divide numbers written in scientific notation

Lesson 14: Adding and Subtracting with Scientific Notation		1. Add and subtract numbers written in scientific notation Also consider: • Scientific notation on calculators
Lesson 14: Adding and Subtracting with Scientific Notation
1. Add and subtract numbers written in scientific notation Also consider: • Scientific notation on calculators
Section D - Let's Put It to Work
Lesson 15: Is a Smartphone Smart Enough to Go to the Moon?
Lesson 15: Is a Smartphone Smart Enough to Go to the Moon?

8	Unit 8 Pythagorean Theorem and Irrational Numbers
Section A - Side Lengths and Areas of Squares
Lesson 1: The Areas of Squares and Their Side Lengths		1. Area of squares and triangles: review
Lesson 1: The Areas of Squares and Their Side Lengths
1. Area of squares and triangles: review

Lesson 2: Side Lengths and Areas		1. Relationship between squares and square roots
Lesson 2: Side Lengths and Areas
1. Relationship between squares and square roots

Lesson 3: Rational and Irrational Numbers		1. Identify rational and irrational numbers
Lesson 3: Rational and Irrational Numbers
1. Identify rational and irrational numbers

Lesson 4: Square Roots on the Number line		1. Square roots of perfect squares 2. Irrational numbers on number lines 3. Solve equations using square roots Also consider: • Positive and negative square roots • Estimate square roots
Lesson 4: Square Roots on the Number line
1. Square roots of perfect squares 2. Irrational numbers on number lines 3. Solve equations using square roots Also consider: • Positive and negative square roots • Estimate square roots
Section B - The Pythagorean Theorem
Lesson 5: Finding Side Lengths of Triangles
Lesson 5: Finding Side Lengths of Triangles


Lesson 6: A Proof of the Pythagorean Theorem		1. Pythagorean theorem: find the length of the hypotenuse 2. Pythagorean theorem: find the missing leg length
Lesson 6: A Proof of the Pythagorean Theorem
1. Pythagorean theorem: find the length of the hypotenuse 2. Pythagorean theorem: find the missing leg length

Lesson 7: The Converse		1. Converse of the Pythagorean theorem: is it a right triangle?
Lesson 7: The Converse
1. Converse of the Pythagorean theorem: is it a right triangle?

Lesson 8: Applications of the Pythagorean Theorem		1. Pythagorean theorem: word problems Also consider: • Pythagorean theorem: find the perimeter
Lesson 8: Applications of the Pythagorean Theorem
1. Pythagorean theorem: word problems Also consider: • Pythagorean theorem: find the perimeter

Lesson 9: Finding Distances in the Coordinate Plane		1. Find the distance between two points
Lesson 9: Finding Distances in the Coordinate Plane
1. Find the distance between two points
Section C - Decimal Representation of Rational and Irrational Numbers
Lesson 10: Edge Lengths, Volumes, and Cube Roots		1. Cube roots of positive and negative perfect cubes 2. Solve equations using cube roots Also consider: • Cube roots of positive perfect cubes • Estimate cube roots
Lesson 10: Edge Lengths, Volumes, and Cube Roots
1. Cube roots of positive and negative perfect cubes 2. Solve equations using cube roots Also consider: • Cube roots of positive perfect cubes • Estimate cube roots

Lesson 11: Decimal Representations of Rational Numbers		1. Convert between decimals and fractions or mixed numbers
Lesson 11: Decimal Representations of Rational Numbers
1. Convert between decimals and fractions or mixed numbers

Lesson 12: Infinite Decimal Expansions		1. Write a repeating decimal as a fraction
Lesson 12: Infinite Decimal Expansions
1. Write a repeating decimal as a fraction
Section D - Let's Put It to Work
Lesson 13: When Is the Same Size Not the Same Size?
Lesson 13: When Is the Same Size Not the Same Size?

This document includes the IXL® skill alignments to IM® 6-8 Math curriculum ©2017-2019, originally developed by Open Up Resources and authored by Illustrative Mathematics®. Licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0). Adaptations and updates to IM 6-8 Math are ©2019 by Illustrative Mathematics and are licensed under Creative Commons Attribution 4.0 International License (CC BY 4.0). 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 Illustrative Mathematics 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.