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

Skill plan for IM^® K-12 Math - 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 Scale Drawings
Section A - Scaled Copies
Lesson 1: What Are Scaled Copies?
Lesson 1: What Are Scaled Copies?


Lesson 2: Corresponding Parts and Scale Factors		1. Scale drawings of polygons
Lesson 2: Corresponding Parts and Scale Factors
1. Scale drawings of polygons

Lesson 3: Making Scaled Copies
Lesson 3: Making Scaled Copies


Lesson 4: Scaled Relationships
Lesson 4: Scaled Relationships


Lesson 5: The Size of the Scale Factor
Lesson 5: The Size of the Scale Factor


Lesson 6: Scaling and Area		1. Perimeter and area: changes in scale
Lesson 6: Scaling and Area
1. Perimeter and area: changes in scale
Section B - Scale Drawings
Lesson 7: Scale Drawings		1. Scale drawings: find the actual length
Lesson 7: Scale Drawings
1. Scale drawings: find the actual length

Lesson 8: Scale Drawings and Maps
Lesson 8: Scale Drawings and Maps


Lesson 9: Creating Scale Drawings		1. Scale drawings: find the scale or scaled length
Lesson 9: Creating Scale Drawings
1. Scale drawings: find the scale or scaled length

Lesson 10: Changing Scales in Scale Drawings
Lesson 10: Changing Scales in Scale Drawings


Lesson 11: Scales without Units		1. Scale drawings: scale factor word problems
Lesson 11: Scales without Units
1. Scale drawings: scale factor word problems

Lesson 12: Units in Scale Drawings		1. Unit rates
Lesson 12: Units in Scale Drawings
1. Unit rates
Section C - Let's Put It to Work
Lesson 13: Draw It to Scale
Lesson 13: Draw It to Scale

2	Unit 2 Introducing Proportional Relationships
Section A - Representing Proportional Relationships with Tables
Lesson 1: One of These Things Is Not Like the Others		1. Identify equivalent ratios 2. Equivalent ratios: word problems
Lesson 1: One of These Things Is Not Like the Others
1. Identify equivalent ratios 2. Equivalent ratios: word problems

Lesson 2: Introducing Proportional Relationships with Tables		1. Find the constant of proportionality from a table 2. Ratios and rates: complete a table and make a graph
Lesson 2: Introducing Proportional Relationships with Tables
1. Find the constant of proportionality from a table 2. Ratios and rates: complete a table and make a graph

Lesson 3: More About Constant of Proportionality		1. Determine if a relationship in a table is proportional
Lesson 3: More About Constant of Proportionality
1. Determine if a relationship in a table is proportional
Section B - Representing Proportional Relationships with Equations
Lesson 4: Proportional Relationships and Equations		1. Write equations for proportional relationships from tables
Lesson 4: Proportional Relationships and Equations
1. Write equations for proportional relationships from tables

Lesson 5: Two Equations for Each Relationship
Lesson 5: Two Equations for Each Relationship


Lesson 6: Using Equations to Solve Problems		1. Write and solve equations for proportional relationships
Lesson 6: Using Equations to Solve Problems
1. Write and solve equations for proportional relationships
Section C - Comparing Proportional and Nonproportional Relationships
Lesson 7: Comparing Relationships with Tables		1. Identify proportional relationships from tables
Lesson 7: Comparing Relationships with Tables
1. Identify proportional relationships from tables

Lesson 8: Comparing Relationships with Equations		1. Identify proportional relationships from equations
Lesson 8: Comparing Relationships with Equations
1. Identify proportional relationships from equations

Lesson 9: Solving Problems About Proportional Relationships		1. Determine if a relationship is proportional and write an equation Also consider: • Do the ratios form a proportion: word problems • Solve proportions: word problems
Lesson 9: Solving Problems About Proportional Relationships
1. Determine if a relationship is proportional and write an equation Also consider: • Do the ratios form a proportion: word problems • Solve proportions: word problems
Section D - Representing Proportional Relationships with Graphs
Lesson 10: Introducing Graphs of Proportional Relationships		1. Identify proportional relationships by graphing 2. Identify graphs of proportional relationships
Lesson 10: Introducing Graphs of Proportional Relationships
1. Identify proportional relationships by graphing 2. Identify graphs of proportional relationships

Lesson 11: Interpreting Graphs of Proportional Relationships		1. Find the constant of proportionality from a graph 2. Interpret graphs of proportional relationships Also consider: • Graph a proportional relationship: word problems
Lesson 11: Interpreting Graphs of Proportional Relationships
1. Find the constant of proportionality from a graph 2. Interpret graphs of proportional relationships Also consider: • Graph a proportional relationship: word problems

Lesson 12: Using Graphs to Compare Relationships		1. Complete a table and graph a proportional relationship
Lesson 12: Using Graphs to Compare Relationships
1. Complete a table and graph a proportional relationship

Lesson 13: Two Graphs for Each Relationship		1. Write equations for proportional relationships from graphs
Lesson 13: Two Graphs for Each Relationship
1. Write equations for proportional relationships from graphs
Section E - Let's Put It to Work
Lesson 14: Four Representations
Lesson 14: Four Representations


Lesson 15: Using Water Efficiently
Lesson 15: Using Water Efficiently

3	Unit 3 Measuring Circles
Section A - Circumference of a Circle
Lesson 1: How Well Can You Measure?
Lesson 1: How Well Can You Measure?


Lesson 2: Exploring Circles		1. Parts of a circle
Lesson 2: Exploring Circles
1. Parts of a circle

Lesson 3: Exploring Circumference		1. Find circumference given the diameter
Lesson 3: Exploring Circumference
1. Find circumference given the diameter

Lesson 4: Applying Circumference		1. Circumference of circles 2. Perimeter of semicircles and quarter circles
Lesson 4: Applying Circumference
1. Circumference of circles 2. Perimeter of semicircles and quarter circles

Lesson 5: Circumference and Wheels
Lesson 5: Circumference and Wheels

Section B - Area of a Circle
Lesson 6: Estimating Areas		1. Area of compound figures with triangles
Lesson 6: Estimating Areas
1. Area of compound figures with triangles

Lesson 7: Exploring the Area of a Circle
Lesson 7: Exploring the Area of a Circle


Lesson 8: Relating Area to Circumference		1. Area of circles 2. Find the area of a circle given the circumference
Lesson 8: Relating Area to Circumference
1. Area of circles 2. Find the area of a circle given the circumference

Lesson 9: Applying Area of Circles		1. Area of semicircles and quarter circles 2. Area of complex figures involving circles
Lesson 9: Applying Area of Circles
1. Area of semicircles and quarter circles 2. Area of complex figures involving circles
Section C - Let's Put It to Work
Lesson 10: Distinguishing Circumference and Area		1. Circles: word problems
Lesson 10: Distinguishing Circumference and Area
1. Circles: word problems

Lesson 11: Stained-Glass Windows
Lesson 11: Stained-Glass Windows

4	Unit 4 Proportional Relationships and Percentages
Section A - Proportional Relationships with Fractions
Lesson 1: Lots of Flags		1. Compare ratios: word problems 2. Solve percent equations: word problems Also consider: • Percents of numbers: word problems • Solve percent problems using strip models
Lesson 1: Lots of Flags
1. Compare ratios: word problems 2. Solve percent equations: word problems Also consider: • Percents of numbers: word problems • Solve percent problems using strip models

Lesson 2: Ratios and Rates with Fractions		1. Calculate unit rates with fractions 2. Unit prices
Lesson 2: Ratios and Rates with Fractions
1. Calculate unit rates with fractions 2. Unit prices

Lesson 3: Revisiting Proportional Relationships		1. Identify proportional relationships from tables: with fractions 2. Find the constant of proportionality from a table: with decimals 3. Write equations for proportional relationships from tables: with decimals
Lesson 3: Revisiting Proportional Relationships
1. Identify proportional relationships from tables: with fractions 2. Find the constant of proportionality from a table: with decimals 3. Write equations for proportional relationships from tables: with decimals

Lesson 4: Half as Much Again		1. Use tape diagrams to solve ratio word problems
Lesson 4: Half as Much Again
1. Use tape diagrams to solve ratio word problems

Lesson 5: Say It with Decimals		1. Convert fractions or mixed numbers to terminating decimals
Lesson 5: Say It with Decimals
1. Convert fractions or mixed numbers to terminating decimals
Section B - Percent Increase and Decrease
Lesson 6: Increasing and Decreasing
Lesson 6: Increasing and Decreasing


Lesson 7: One Hundred Percent		1. Percent increase or decrease: word problems
Lesson 7: One Hundred Percent
1. Percent increase or decrease: word problems

Lesson 8: Percent Increase and Decrease with Equations		1. Percent of change: find the original amount word problems
Lesson 8: Percent Increase and Decrease with Equations
1. Percent of change: find the original amount word problems

Lesson 9: More and Less than 1%		1. Percents of money amounts: with fractions and decimals Also consider: • Estimate percents of numbers
Lesson 9: More and Less than 1%
1. Percents of money amounts: with fractions and decimals Also consider: • Estimate percents of numbers
Section C - Applying Percentages
Lesson 10: Tax and Tip		1. Tax and tip: word problems Also consider: • Estimate tips
Lesson 10: Tax and Tip
1. Tax and tip: word problems Also consider: • Estimate tips

Lesson 11: Percentage Contexts		1. Discount, commission, and more: word problems 2. Sale prices: find the original price 3. Which is the better coupon?
Lesson 11: Percentage Contexts
1. Discount, commission, and more: word problems 2. Sale prices: find the original price 3. Which is the better coupon?

Lesson 12: Finding the Percentage		1. Find the percent of change: word problems Also consider: • Percent of change
Lesson 12: Finding the Percentage
1. Find the percent of change: word problems Also consider: • Percent of change

Lesson 13: Measurement Error
Lesson 13: Measurement Error


Lesson 14: Percent Error		1. Percent error: word problems
Lesson 14: Percent Error
1. Percent error: word problems

Lesson 15: Error Intervals
Lesson 15: Error Intervals

Section D - Let's Put It to Work
Lesson 16: Posing Percentage Problems		1. Multi-step problems with percents
Lesson 16: Posing Percentage Problems
1. Multi-step problems with percents

5	Unit 5 Rational Number Arithmetic
Section A - Interpreting Negative Numbers
Lesson 1: Interpreting Negative Numbers		1. Understanding integers 2. Graph integers on horizontal and vertical number lines 3. Compare and order integers Also consider: • Understanding absolute value • Integers on number lines • Compare rational numbers
Lesson 1: Interpreting Negative Numbers
1. Understanding integers 2. Graph integers on horizontal and vertical number lines 3. Compare and order integers Also consider: • Understanding absolute value • Integers on number lines • Compare rational numbers
Section B - Adding and Subtracting Rational Numbers
Lesson 2: Changing Temperatures		1. Add integers using number lines
Lesson 2: Changing Temperatures
1. Add integers using number lines

Lesson 3: Changing Elevation		1. Quantities that combine to zero: word problems 2. Integer addition rules 3. Add integers Also consider: • Absolute value and opposite integers • Add three or more integers
Lesson 3: Changing Elevation
1. Quantities that combine to zero: word problems 2. Integer addition rules 3. Add integers Also consider: • Absolute value and opposite integers • Add three or more integers

Lesson 4: Money and Debts		1. Keeping financial records 2. Balance a budget 3. Adjust a budget Also consider: • Rational numbers: find the sign
Lesson 4: Money and Debts
1. Keeping financial records 2. Balance a budget 3. Adjust a budget Also consider: • Rational numbers: find the sign

Lesson 5: Representing Subtraction		1. Subtract integers using number lines 2. Subtract integers Also consider: • Integer subtraction rules
Lesson 5: Representing Subtraction
1. Subtract integers using number lines 2. Subtract integers Also consider: • Integer subtraction rules

Lesson 6: Subtracting Rational Numbers		1. Add and subtract integers 2. Add and subtract positive and negative fractions 3. Add and subtract positive and negative decimals Also consider: • Complete addition and subtraction equations with integers
Lesson 6: Subtracting Rational Numbers
1. Add and subtract integers 2. Add and subtract positive and negative fractions 3. Add and subtract positive and negative decimals Also consider: • Complete addition and subtraction equations with integers

Lesson 7: Adding and Subtracting to Solve Problems		1. Add and subtract integers: word problems 2. Distance between two points Also consider: • Apply addition and subtraction rules
Lesson 7: Adding and Subtracting to Solve Problems
1. Add and subtract integers: word problems 2. Distance between two points Also consider: • Apply addition and subtraction rules
Section C - Multiplying and Dividing Rational Numbers
Lesson 8: Position, Speed, and Direction		1. Understand multiplying by a negative integer using a number line
Lesson 8: Position, Speed, and Direction
1. Understand multiplying by a negative integer using a number line

Lesson 9: Multiplying Rational Numbers		1. Integer multiplication rules 2. Multiply integers
Lesson 9: Multiplying Rational Numbers
1. Integer multiplication rules 2. Multiply integers

Lesson 10: Multiply!		1. Multiply rational numbers 2. Complete multiplication equations with integers
Lesson 10: Multiply!
1. Multiply rational numbers 2. Complete multiplication equations with integers

Lesson 11: Dividing Rational Numbers		1. Integer division rules 2. Divide integers 3. Identify quotients of rational numbers: word problems Also consider: • Apply multiplication and division rules
Lesson 11: Dividing Rational Numbers
1. Integer division rules 2. Divide integers 3. Identify quotients of rational numbers: word problems Also consider: • Apply multiplication and division rules

Lesson 12: Negative Rates		1. Evaluate linear expressions with negatives Also consider: • Multiply and divide integers • Multiply and divide positive and negative fractions • Multiply and divide positive and negative decimals
Lesson 12: Negative Rates
1. Evaluate linear expressions with negatives Also consider: • Multiply and divide integers • Multiply and divide positive and negative fractions • Multiply and divide positive and negative decimals
Section D - Four Operations with Rational Numbers
Lesson 13: Expressions with Rational Numbers		1. Equal quotients of integers 2. Understand operations with rational numbers
Lesson 13: Expressions with Rational Numbers
1. Equal quotients of integers 2. Understand operations with rational numbers

Lesson 14: Solving Problems with Rational Numbers		1. Add, subtract, multiply, and divide integers 2. Add, subtract, multiply, and divide rational numbers
Lesson 14: Solving Problems with Rational Numbers
1. Add, subtract, multiply, and divide integers 2. Add, subtract, multiply, and divide rational numbers
Section E - Solving Equations When There Are Negative Numbers
Lesson 15: Solving Equations with Rational Numbers		1. Solve one-step equations 2. Solve one-step equations with decimals and fractions 3. Which x satisfies the one-step equation?
Lesson 15: Solving Equations with Rational Numbers
1. Solve one-step equations 2. Solve one-step equations with decimals and fractions 3. Which x satisfies the one-step equation?

Lesson 16: Representing Contexts with Equations		1. Write a one-step equation from words Also consider: • Write and solve equations that represent diagrams
Lesson 16: Representing Contexts with Equations
1. Write a one-step equation from words Also consider: • Write and solve equations that represent diagrams
Section F - Let's Put It to Work
Lesson 17: The Stock Market		1. Percent of change: increases and decreases
Lesson 17: The Stock Market
1. Percent of change: increases and decreases

6	Unit 6 Expressions, Equations, and Inequalities
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. Find the percent: tax, discount, and more
Lesson 12: Solving Problems About Percent Increase or Decrease
1. Find the percent: tax, discount, and more
Section C - Inequalities
Lesson 13: Reintroducing Inequalities		1. Solutions to inequalities 2. Graph inequalities on number lines Also consider: • Write inequalities from number lines
Lesson 13: Reintroducing Inequalities
1. Solutions to inequalities 2. Graph inequalities on number lines Also consider: • Write inequalities from number lines

Lesson 14: 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 14: 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 15: Efficiently Solving Inequalities		1. Solve two-step inequalities 2. Graph solutions to two-step inequalities
Lesson 15: Efficiently Solving Inequalities
1. Solve two-step inequalities 2. Graph solutions to two-step inequalities

Lesson 16: Interpreting Inequalities
Lesson 16: Interpreting Inequalities


Lesson 17: Modeling with Inequalities
Lesson 17: Modeling with Inequalities

Section D - Writing Equivalent Expressions
Lesson 18: 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 18: 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 19: 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 19: 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 20: 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 20: 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 21: Combining Like Terms (Part 2)		1. Simplify linear expressions 2. Identify equivalent linear expressions I 3. Identify equivalent linear expressions II
Lesson 21: Combining Like Terms (Part 2)
1. Simplify linear expressions 2. Identify equivalent linear expressions I 3. Identify equivalent linear expressions II

Lesson 22: Combining Like Terms (Part 3)
Lesson 22: Combining Like Terms (Part 3)

Section E - Let's Put It to Work
Lesson 23: Applications of Expressions		1. Identify equivalent linear expressions: word problems
Lesson 23: Applications of Expressions
1. Identify equivalent linear expressions: word problems

7	Unit 7 Angles, Triangles, and Prisms
Section A - Angle Relationships
Lesson 1: Relationships of Angles		1. Name, measure, and classify angles
Lesson 1: Relationships of Angles
1. Name, measure, and classify angles

Lesson 2: Adjacent Angles		1. Identify complementary and supplementary angles 2. Find measures of complementary and supplementary angles
Lesson 2: Adjacent Angles
1. Identify complementary and supplementary angles 2. Find measures of complementary and supplementary angles

Lesson 3: Nonadjacent Angles		1. Identify complementary, supplementary, vertical, and adjacent angles 2. Find measures of angles: one-step problems
Lesson 3: Nonadjacent Angles
1. Identify complementary, supplementary, vertical, and adjacent angles 2. Find measures of angles: one-step problems

Lesson 4: Solving for Unknown Angles		1. Find measures of angles: multi-step problems
Lesson 4: Solving for Unknown Angles
1. Find measures of angles: multi-step problems

Lesson 5: Using Equations to Solve for Unknown Angles		1. Write and solve equations using angle relationships
Lesson 5: Using Equations to Solve for Unknown Angles
1. Write and solve equations using angle relationships
Section B - Drawing Polygons with Given Conditions
Lesson 6: Building Polygons (Part 1)		1. Draw quadrilaterals
Lesson 6: Building Polygons (Part 1)
1. Draw quadrilaterals

Lesson 7: Building Polygons (Part 2)		1. Triangle inequality
Lesson 7: Building Polygons (Part 2)
1. Triangle inequality

Lesson 8: Triangles with 3 Common Measures
Lesson 8: Triangles with 3 Common Measures


Lesson 9: Drawing Triangles (Part 1)
Lesson 9: Drawing Triangles (Part 1)


Lesson 10: Drawing Triangles (Part 2)
Lesson 10: Drawing Triangles (Part 2)

Section C - Solid Geometry
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: Volume of Right Prisms		1. Volume of cubes and prisms
Lesson 12: Volume of Right Prisms
1. Volume of cubes and prisms

Lesson 13: Decomposing Bases for Area		1. Volume of prisms: advanced
Lesson 13: Decomposing Bases for Area
1. Volume of prisms: advanced

Lesson 14: Surface Area of Right Prisms		1. Surface area of cubes and prisms
Lesson 14: Surface Area of Right Prisms
1. Surface area of cubes and prisms

Lesson 15: Distinguishing Volume and Surface Area		1. Volume and surface area of prisms
Lesson 15: Distinguishing Volume and Surface Area
1. Volume and surface area of prisms

Lesson 16: Applying Volume and Surface Area		1. Volume of cubes and rectangular prisms: word problems
Lesson 16: Applying Volume and Surface Area
1. Volume of cubes and rectangular prisms: word problems
Section D - Let's Put It to Work
Lesson 17: Building Prisms		1. Nets of three-dimensional figures
Lesson 17: Building Prisms
1. Nets of three-dimensional figures

8	Unit 8 Probability and Sampling
Section A - Probabilities of Single Step Events
Lesson 1: Mystery Bags		1. More, less, and equally likely
Lesson 1: Mystery Bags
1. More, less, and equally likely

Lesson 2: Chance Experiments
Lesson 2: Chance Experiments


Lesson 3: What Are Probabilities?		1. Sample spaces of simple events 2. Probability of simple events
Lesson 3: What Are Probabilities?
1. Sample spaces of simple events 2. Probability of simple events

Lesson 4: Estimating Probabilities Through Repeated Experiments		1. Use collected data to find probabilities and make predictions 2. Experimental probability
Lesson 4: Estimating Probabilities Through Repeated Experiments
1. Use collected data to find probabilities and make predictions 2. Experimental probability

Lesson 5: More Estimating Probabilities		1. Make predictions using experimental probability
Lesson 5: More Estimating Probabilities
1. Make predictions using experimental probability

Lesson 6: Estimating Probabilities Using Simulations
Lesson 6: Estimating Probabilities Using Simulations

Section B - Probabilities of Multi-Step Events
Lesson 7: Simulating Multi-Step Experiments		1. Sample spaces for compound events
Lesson 7: Simulating Multi-Step Experiments
1. Sample spaces for compound events

Lesson 8: Keeping Track of All Possible Outcomes		1. Compound events: find the number of outcomes Also consider: • Compound events: find the number of sums • Find the number of outcomes: word problems
Lesson 8: Keeping Track of All Possible Outcomes
1. Compound events: find the number of outcomes Also consider: • Compound events: find the number of sums • Find the number of outcomes: word problems

Lesson 9: Multi-Step Experiments		1. Probability of compound events
Lesson 9: Multi-Step Experiments
1. Probability of compound events

Lesson 10: Designing Simulations		1. Which simulation represents the situation?
Lesson 10: Designing Simulations
1. Which simulation represents the situation?
Section C - Sampling
Lesson 11: Comparing Groups		1. Calculate mean for data sets and line plots 2. Calculate mean absolute deviation Also consider: • Create line plots
Lesson 11: Comparing Groups
1. Calculate mean for data sets and line plots 2. Calculate mean absolute deviation Also consider: • Create line plots

Lesson 12: Larger Populations		1. Populations and samples
Lesson 12: Larger Populations
1. Populations and samples

Lesson 13: What Makes a Good Sample?		1. Make inferences from multiple samples
Lesson 13: What Makes a Good Sample?
1. Make inferences from multiple samples

Lesson 14: Sampling in a Fair Way		1. Identify representative, random, and biased samples
Lesson 14: Sampling in a Fair Way
1. Identify representative, random, and biased samples
Section D - Using Samples
Lesson 15: Estimating Population Measures of Center		1. Changes in mean and median 2. Box plots 3. Interpret histograms Also consider: • Mean, median, mode, and range: find the missing number • Calculate quartiles and interquartile range
Lesson 15: Estimating Population Measures of Center
1. Changes in mean and median 2. Box plots 3. Interpret histograms Also consider: • Mean, median, mode, and range: find the missing number • Calculate quartiles and interquartile range

Lesson 16: Estimating Population Proportions		1. Estimate population size using proportions
Lesson 16: Estimating Population Proportions
1. Estimate population size using proportions

Lesson 17: More About Sampling Variability
Lesson 17: More About Sampling Variability


Lesson 18: Comparing Populations Using Samples		1. Compare populations using measures of center and spread
Lesson 18: Comparing Populations Using Samples
1. Compare populations using measures of center and spread

Lesson 19: Comparing Populations with Friends
Lesson 19: Comparing Populations with Friends

Section E - Let's Put It to Work
Lesson 20: Memory Test
Lesson 20: Memory Test

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.