IXL skill plan | Accelerated Grade 6 plan for IM® K-12 Math

Skill plan for IM^® K-12 Math - Accelerated Grade 6

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 Areas
Section A - Reasoning to Find Area
Lesson 1: Tiling the Plane		1. Create rectangles with a given area 2. Tile a rectangle and find the area Also consider: • Create figures with a given area
Lesson 1: Tiling the Plane
1. Create rectangles with a given area 2. Tile a rectangle and find the area Also consider: • Create figures with a given area

Lesson 2: Finding Area by Decomposing and Rearranging		1. Select two figures with the same area 2. Area of rectangles and squares
Lesson 2: Finding Area by Decomposing and Rearranging
1. Select two figures with the same area 2. Area of rectangles and squares

Lesson 3: Reasoning to Find Area		1. Area of compound figures 2. Area between two rectangles
Lesson 3: Reasoning to Find Area
1. Area of compound figures 2. Area between two rectangles
Section B - Parallelograms
Lesson 4: Parallelograms		1. Identify parallelograms 2. Understanding area of a parallelogram
Lesson 4: Parallelograms
1. Identify parallelograms 2. Understanding area of a parallelogram

Lesson 5: Areas of Parallelograms		1. Area of parallelograms
Lesson 5: Areas of Parallelograms
1. Area of parallelograms

Lesson 6: From Parallelograms to Triangles
Lesson 6: From Parallelograms to Triangles

Section C - Triangles
Lesson 7: Area of Triangles		1. Understanding area of a triangle
Lesson 7: Area of Triangles
1. Understanding area of a triangle

Lesson 8: Formula for the Area of a Triangle		1. Area of triangles Also consider: • Area between two triangles
Lesson 8: Formula for the Area of a Triangle
1. Area of triangles Also consider: • Area between two triangles

Lesson 9: Polygons		1. Is it a polygon? Also consider: • Understanding area of a trapezoid • Area of trapezoids
Lesson 9: Polygons
1. Is it a polygon? Also consider: • Understanding area of a trapezoid • Area of trapezoids
Section D - Surface Area
Lesson 10: What Is Surface Area?		1. Surface area of rectangular prisms
Lesson 10: What Is Surface Area?
1. Surface area of rectangular prisms

Lesson 11: Polyhedra and Nets		1. Identify polyhedra 2. Count vertices, edges, and faces 3. Nets of three-dimensional figures Also consider: • Which figure is being described?
Lesson 11: Polyhedra and Nets
1. Identify polyhedra 2. Count vertices, edges, and faces 3. Nets of three-dimensional figures Also consider: • Which figure is being described?

Lesson 12: More Nets, More Surface Area		1. Surface area of prisms and pyramids
Lesson 12: More Nets, More Surface Area
1. Surface area of prisms and pyramids
Section E - Let's Put It to Work
Lesson 13: Designing a Tent
Lesson 13: Designing a Tent

2	Unit 2 Ratios, Rates, and Percentages
Section A - What Are Ratios?
Lesson 1: Representing Ratios with Diagrams		1. Which model represents the ratio?
Lesson 1: Representing Ratios with Diagrams
1. Which model represents the ratio?

Lesson 2: Mixtures
Lesson 2: Mixtures


Lesson 3: Defining Equivalent Ratios		1. Identify equivalent ratios 2. Write an equivalent ratio
Lesson 3: Defining Equivalent Ratios
1. Identify equivalent ratios 2. Write an equivalent ratio
Section B - Representing Equivalent Ratios
Lesson 4: Introducing Double Number Line Diagrams		1. Equivalent ratios: word problems
Lesson 4: Introducing Double Number Line Diagrams
1. Equivalent ratios: word problems

Lesson 5: Creating Double Number Line Diagrams
Lesson 5: Creating Double Number Line Diagrams


Lesson 6: Per Each		1. Unit prices 2. Unit prices with decimals
Lesson 6: Per Each
1. Unit prices 2. Unit prices with decimals

Lesson 7: Comparing Situations by Examining Ratios		1. Compare ratios: word problems
Lesson 7: Comparing Situations by Examining Ratios
1. Compare ratios: word problems

Lesson 8: Representing Ratios with Tables		1. Ratio tables I
Lesson 8: Representing Ratios with Tables
1. Ratio tables I

Lesson 9: Navigating a Table of Equivalent Ratios		1. Ratio tables II
Lesson 9: Navigating a Table of Equivalent Ratios
1. Ratio tables II

Lesson 10: Solving Equivalent Ratio Problems		1. Ratios and rates: word problems
Lesson 10: Solving Equivalent Ratio Problems
1. Ratios and rates: word problems

Lesson 11: Part-Part-Whole Ratios		1. Equivalent ratios: word problems
Lesson 11: Part-Part-Whole Ratios
1. Equivalent ratios: word problems

Lesson 12: Solving More Ratio Problems		1. Use tape diagrams to solve ratio word problems
Lesson 12: Solving More Ratio Problems
1. Use tape diagrams to solve ratio word problems
Section C - Rates
Lesson 13: The Burj Khalifa
Lesson 13: The Burj Khalifa


Lesson 14: Measuring with Different-Sized Units		1. Understanding cubic units
Lesson 14: Measuring with Different-Sized Units
1. Understanding cubic units

Lesson 15: Converting Units		1. Convert metric and customary units using conversion factors 2. Convert metric and customary units using tables 3. Convert between customary and metric systems Also consider: • Customary unit conversions involving fractions and mixed numbers
Lesson 15: Converting Units
1. Convert metric and customary units using conversion factors 2. Convert metric and customary units using tables 3. Convert between customary and metric systems Also consider: • Customary unit conversions involving fractions and mixed numbers

Lesson 16: Comparing Speeds and Prices		1. Which is the better buy?
Lesson 16: Comparing Speeds and Prices
1. Which is the better buy?

Lesson 17: Interpreting Rates		1. Compare rates: word problems 2. Unit rates
Lesson 17: Interpreting Rates
1. Compare rates: word problems 2. Unit rates

Lesson 18: Equivalent Ratios have the Same Unit Rates
Lesson 18: Equivalent Ratios have the Same Unit Rates


Lesson 19: Solving Rate Problems		1. Unit prices with customary unit conversions 2. Rates: word problems
Lesson 19: Solving Rate Problems
1. Unit prices with customary unit conversions 2. Rates: word problems
Section D - Percentages
Lesson 20: Percentages and Double Number Lines		1. Percents of numbers 2. Find the whole given a part and a percent
Lesson 20: Percentages and Double Number Lines
1. Percents of numbers 2. Find the whole given a part and a percent

Lesson 21: Percentages and Tape Diagrams		1. Solve percent problems using strip models
Lesson 21: Percentages and Tape Diagrams
1. Solve percent problems using strip models

Lesson 22: Benchmark Percentages		1. Solve percent problems: benchmark percents
Lesson 22: Benchmark Percentages
1. Solve percent problems: benchmark percents

Lesson 23: Solving Percentage Problems		1. Which is the better coupon? 2. Sale prices 3. Percents of numbers: word problems Also consider: • Find the total given a part and a percent • Sale prices: find the original price • Percents of numbers and money amounts
Lesson 23: Solving Percentage Problems
1. Which is the better coupon? 2. Sale prices 3. Percents of numbers: word problems Also consider: • Find the total given a part and a percent • Sale prices: find the original price • Percents of numbers and money amounts

Lesson 24: Finding the Percentage		1. Find what percent one number is of another 2. Find what percent one number is of another: word problems
Lesson 24: Finding the Percentage
1. Find what percent one number is of another 2. Find what percent one number is of another: word problems
Section E - Let's Put It to Work
Lesson 25: A Fermi Problem
Lesson 25: A Fermi Problem


Lesson 26: Painting a Room		1. Solve percent problems 2. Solve percent word problems
Lesson 26: Painting a Room
1. Solve percent problems 2. Solve percent word problems

3	Unit 3 Fractions and Decimals
Section A - Making Sense of Division
Lesson 1: Size of Divisor and Size of Quotient		1. Division patterns with zeros 2. Estimate quotients when dividing mixed numbers
Lesson 1: Size of Divisor and Size of Quotient
1. Division patterns with zeros 2. Estimate quotients when dividing mixed numbers

Lesson 2: Meanings of Division		1. Relate multiplication and division 2. Write and solve multiplication and division equations using diagrams: word problems
Lesson 2: Meanings of Division
1. Relate multiplication and division 2. Write and solve multiplication and division equations using diagrams: word problems
Section B - Dividing Fractions
Lesson 3: How Many Groups?		1. Divide whole numbers by fractions using models
Lesson 3: How Many Groups?
1. Divide whole numbers by fractions using models

Lesson 4: What Fraction of a Group?		1. Divide fractions by whole numbers using models
Lesson 4: What Fraction of a Group?
1. Divide fractions by whole numbers using models

Lesson 5: How Much in Each Group? (Part 1)		1. Divide fractions and mixed numbers using models
Lesson 5: How Much in Each Group? (Part 1)
1. Divide fractions and mixed numbers using models

Lesson 6: How Much in Each Group? (Part 2)		1. Divide fractions and mixed numbers using models: word problems
Lesson 6: How Much in Each Group? (Part 2)
1. Divide fractions and mixed numbers using models: word problems

Lesson 7: Finding an Algorithm for Dividing Fractions		1. Divide unit fractions and whole numbers: word problems 2. Divide fractions 3. Divide fractions and mixed numbers Also consider: • Reciprocals
Lesson 7: Finding an Algorithm for Dividing Fractions
1. Divide unit fractions and whole numbers: word problems 2. Divide fractions 3. Divide fractions and mixed numbers Also consider: • Reciprocals

Lesson 8: Ratios and Rates with Fractions		1. Calculate unit rates with fractions
Lesson 8: Ratios and Rates with Fractions
1. Calculate unit rates with fractions
Section C - Fractions in Lengths, Areas, and Volumes
Lesson 9: Fractional Lengths		1. Divide fractions and mixed numbers: word problems
Lesson 9: Fractional Lengths
1. Divide fractions and mixed numbers: word problems

Lesson 10: Rectangles and Triangles with Fractional Lengths		1. Area with fractions
Lesson 10: Rectangles and Triangles with Fractional Lengths
1. Area with fractions

Lesson 11: Volume of Prisms		1. Volume of cubes and rectangular prisms with fractional side lengths
Lesson 11: Volume of Prisms
1. Volume of cubes and rectangular prisms with fractional side lengths

Lesson 12: Solving Problems Involving Fractions		1. Add, subtract, multiply, or divide two fractions 2. Add, subtract, multiply, or divide two fractions: word problems
Lesson 12: Solving Problems Involving Fractions
1. Add, subtract, multiply, or divide two fractions 2. Add, subtract, multiply, or divide two fractions: word problems
Section D - Warming up to Decimals
Lesson 13: Using Decimals in a Shopping Context		1. Add and subtract money amounts: word problems 2. Multiply money amounts: multi-step word problems
Lesson 13: Using Decimals in a Shopping Context
1. Add and subtract money amounts: word problems 2. Multiply money amounts: multi-step word problems

Lesson 14: Using Diagrams to Represent Addition and Subtraction		1. Add decimals using blocks 2. Add decimals 3. Add and subtract decimal numbers up to hundredths Also consider: • Equivalent decimals
Lesson 14: Using Diagrams to Represent Addition and Subtraction
1. Add decimals using blocks 2. Add decimals 3. Add and subtract decimal numbers up to hundredths Also consider: • Equivalent decimals

Lesson 15: Adding and Subtracting Decimals		1. Add and subtract decimal numbers 2. Complete the decimal addition or subtraction sentence 3. Add and subtract decimals: word problems Also consider: • Maps with decimal distances
Lesson 15: Adding and Subtracting Decimals
1. Add and subtract decimal numbers 2. Complete the decimal addition or subtraction sentence 3. Add and subtract decimals: word problems Also consider: • Maps with decimal distances

Lesson 16: Methods for Multiplying Decimals		1. Multiply by 0.1 or 0.01 2. Multiply two decimals: where does the decimal point go? 3. Multiply decimals less than one using grids
Lesson 16: Methods for Multiplying Decimals
1. Multiply by 0.1 or 0.01 2. Multiply two decimals: where does the decimal point go? 3. Multiply decimals less than one using grids

Lesson 17: Calculating Products of Decimals		1. Multiply decimals 2. Area of rectangles and squares: decimal side lengths
Lesson 17: Calculating Products of Decimals
1. Multiply decimals 2. Area of rectangles and squares: decimal side lengths
Section E - Dividing Decimals
Lesson 18: Using Long Division		1. Divide using partial quotients 2. Divide by 1-digit numbers
Lesson 18: Using Long Division
1. Divide using partial quotients 2. Divide by 1-digit numbers

Lesson 19: Dividing Numbers That Result in Decimals		1. Division with decimal quotients 2. Divide decimals using blocks: complete the equation 3. Divide decimals by whole numbers Also consider: • Convert between percents, fractions, and decimals • Divide decimals by whole numbers: word problems
Lesson 19: Dividing Numbers That Result in Decimals
1. Division with decimal quotients 2. Divide decimals using blocks: complete the equation 3. Divide decimals by whole numbers Also consider: • Convert between percents, fractions, and decimals • Divide decimals by whole numbers: word problems

Lesson 20: Dividing Decimals by Decimals		1. Divide decimals Also consider: • Add, subtract, multiply, or divide two decimals
Lesson 20: Dividing Decimals by Decimals
1. Divide decimals Also consider: • Add, subtract, multiply, or divide two decimals

Lesson 21: Using Operations on Decimals to Solve Problems		1. Estimate decimal quotients 2. Add, subtract, multiply, or divide two decimals: word problems
Lesson 21: Using Operations on Decimals to Solve Problems
1. Estimate decimal quotients 2. Add, subtract, multiply, or divide two decimals: word problems
Section F - Let's Put It to Work
Lesson 22: Fitting Boxes into Boxes		1. Volume of cubes and rectangular prisms: word problems
Lesson 22: Fitting Boxes into Boxes
1. Volume of cubes and rectangular prisms: word problems

Lesson 23: Making and Measuring Boxes		1. Surface area of cubes and rectangular prisms: decimal edge lengths
Lesson 23: Making and Measuring Boxes
1. Surface area of cubes and rectangular prisms: decimal edge lengths

4	Unit 4 Equations and Expressions
Section A - Equations in One Variable
Lesson 1: Tape Diagrams and Equations		1. Model and solve equations using diagrams
Lesson 1: Tape Diagrams and Equations
1. Model and solve equations using diagrams

Lesson 2: Truth and Equations		1. Does x satisfy an equation? 2. Which x satisfies an equation? 3. Equations with mixed operations: true or false
Lesson 2: Truth and Equations
1. Does x satisfy an equation? 2. Which x satisfies an equation? 3. Equations with mixed operations: true or false

Lesson 3: Staying in Balance		1. Write and solve equations that represent diagrams Also consider: • Model and solve equations using algebra tiles
Lesson 3: Staying in Balance
1. Write and solve equations that represent diagrams Also consider: • Model and solve equations using algebra tiles

Lesson 4: Practice Solving Equations and Representing Situations with Equations		1. Write a one-step equation: word problems 2. Solve one-step addition and multiplication equations
Lesson 4: Practice Solving Equations and Representing Situations with Equations
1. Write a one-step equation: word problems 2. Solve one-step addition and multiplication equations

Lesson 5: A New Way to Interpret a over b		1. Which word problem matches the one-step equation?
Lesson 5: A New Way to Interpret a over b
1. Which word problem matches the one-step equation?
Section B - Equal and Equivalent
Lesson 6: Write Expressions Where Letters Stand for Numbers		1. Write variable expressions: word problems 2. Solve one-step equations: word problems Also consider: • Evaluate variable expressions with whole numbers
Lesson 6: Write Expressions Where Letters Stand for Numbers
1. Write variable expressions: word problems 2. Solve one-step equations: word problems Also consider: • Evaluate variable expressions with whole numbers

Lesson 7: Revisit Percentages		1. Find the total given a part and a percent
Lesson 7: Revisit Percentages
1. Find the total given a part and a percent

Lesson 8: Equal and Equivalent		1. Identify equivalent expressions using strip models
Lesson 8: Equal and Equivalent
1. Identify equivalent expressions using strip models

Lesson 9: The Distributive Property, Part 1		1. Multiply numbers using the distributive property 2. Multiply a decimal by a one-digit whole number using the distributive property 3. Factor numerical expressions using the distributive property Also consider: • Identify terms and coefficients
Lesson 9: The Distributive Property, Part 1
1. Multiply numbers using the distributive property 2. Multiply a decimal by a one-digit whole number using the distributive property 3. Factor numerical expressions using the distributive property Also consider: • Identify terms and coefficients

Lesson 10: The Distributive Property, Part 2		1. Multiply using the distributive property: area models 2. Multiply using the distributive property 3. Identify equivalent expressions I Also consider: • Identify equivalent expressions II
Lesson 10: The Distributive Property, Part 2
1. Multiply using the distributive property: area models 2. Multiply using the distributive property 3. Identify equivalent expressions I Also consider: • Identify equivalent expressions II
Section C - Expressions with Exponents
Lesson 11: Squares and Cubes		1. Squares and cubes
Lesson 11: Squares and Cubes
1. Squares and cubes

Lesson 12: Surface Area of a Cube		1. Surface area of cubes
Lesson 12: Surface Area of a Cube
1. Surface area of cubes

Lesson 13: Meaning of Exponents		1. Write multiplication expressions using exponents 2. Evaluate powers
Lesson 13: Meaning of Exponents
1. Write multiplication expressions using exponents 2. Evaluate powers

Lesson 14: Expressions with Exponents		1. Evaluate powers with decimal bases 2. Evaluate powers with fractional bases
Lesson 14: Expressions with Exponents
1. Evaluate powers with decimal bases 2. Evaluate powers with fractional bases

Lesson 15: Evaluating Expressions with Exponents		1. Evaluate numerical expressions one step at a time 2. Evaluate expressions with exponents Also consider: • Evaluate expressions with fractions and exponents
Lesson 15: Evaluating Expressions with Exponents
1. Evaluate numerical expressions one step at a time 2. Evaluate expressions with exponents Also consider: • Evaluate expressions with fractions and exponents

Lesson 16: Equivalent Exponential Expressions		1. Evaluate multi-variable expressions with exponents 2. Find the missing exponent or base
Lesson 16: Equivalent Exponential Expressions
1. Evaluate multi-variable expressions with exponents 2. Find the missing exponent or base
Section D - Relationships between Quantities
Lesson 17: Two Related Quantities, Part 1		1. Identify independent and dependent variables in tables and graphs 2. Ratios and rates: complete a table and make a graph Also consider: • Identify independent and dependent variables: word problems
Lesson 17: Two Related Quantities, Part 1
1. Identify independent and dependent variables in tables and graphs 2. Ratios and rates: complete a table and make a graph Also consider: • Identify independent and dependent variables: word problems

Lesson 18: Two Related Quantities, Part 2		1. Write a multiplicative equation from a graph using a table 2. Interpret a graph: word problems 3. Graph a two-variable multiplicative equation
Lesson 18: Two Related Quantities, Part 2
1. Write a multiplicative equation from a graph using a table 2. Interpret a graph: word problems 3. Graph a two-variable multiplicative equation
Section E - Let's Put It to Work
Lesson 19: Tables, Equations, and Graphs, Oh My!		1. Complete a table for a two-variable relationship 2. Write a two-variable multiplicative equation from a table 3. Identify the graph of an equation
Lesson 19: Tables, Equations, and Graphs, Oh My!
1. Complete a table for a two-variable relationship 2. Write a two-variable multiplicative equation from a table 3. Identify the graph of an equation

5	Unit 5 Proportional Relationships
Section A - Representing Proportional Relationships with Equations
Lesson 1: Proportional Relationships and Equations		1. Write equations for proportional relationships from tables 2. Find the constant of proportionality from a table
Lesson 1: Proportional Relationships and Equations
1. Write equations for proportional relationships from tables 2. Find the constant of proportionality from a table

Lesson 2: Two Equations for Each Relationship
Lesson 2: Two Equations for Each Relationship


Lesson 3: Using Equations to Solve Problems		1. Write and solve equations for proportional relationships
Lesson 3: Using Equations to Solve Problems
1. Write and solve equations for proportional relationships
Section B - Comparing Proportional and Nonproportional Relationships
Lesson 4: Comparing Relationships with Tables		1. Identify proportional relationships from tables
Lesson 4: Comparing Relationships with Tables
1. Identify proportional relationships from tables

Lesson 5: Comparing Relationships with Equations		1. Identify proportional relationships from equations
Lesson 5: Comparing Relationships with Equations
1. Identify proportional relationships from equations

Lesson 6: 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
Lesson 6: 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
Section C - Representing Proportional Relationships with Graphs
Lesson 7: Graphs of Proportional Relationships		1. Identify proportional relationships by graphing 2. Find the constant of proportionality from a graph 3. Interpret graphs of proportional relationships Also consider: • Identify proportional relationships from graphs
Lesson 7: Graphs of Proportional Relationships
1. Identify proportional relationships by graphing 2. Find the constant of proportionality from a graph 3. Interpret graphs of proportional relationships Also consider: • Identify proportional relationships from graphs

Lesson 8: Using Graphs to Compare Relationships		1. Complete a table and graph a proportional relationship
Lesson 8: Using Graphs to Compare Relationships
1. Complete a table and graph a proportional relationship

Lesson 9: Two Graphs for Each Relationship		1. Write equations for proportional relationships from graphs
Lesson 9: Two Graphs for Each Relationship
1. Write equations for proportional relationships from graphs
Section D - Circumference of a Circle
Lesson 10: How Well Can You Measure?
Lesson 10: How Well Can You Measure?


Lesson 11: Exploring Circles		1. Parts of a circle
Lesson 11: Exploring Circles
1. Parts of a circle

Lesson 12: Exploring Circumference		1. Find circumference given the diameter
Lesson 12: Exploring Circumference
1. Find circumference given the diameter

Lesson 13: Applying Circumference		1. Circumference of circles
Lesson 13: Applying Circumference
1. Circumference of circles
Section E - Area of a Circle
Lesson 14: Estimating Areas		1. Area of compound figures with triangles
Lesson 14: Estimating Areas
1. Area of compound figures with triangles

Lesson 15: Area of a Circle		1. Area of circles
Lesson 15: Area of a Circle
1. Area of circles

Lesson 16: Applying Area of Circles		1. Area of semicircles and quarter circles 2. Area of complex figures involving circles
Lesson 16: Applying Area of Circles
1. Area of semicircles and quarter circles 2. Area of complex figures involving circles
Section F - Let's Put It to Work
Lesson 17: Four Representations
Lesson 17: Four Representations


Lesson 18: Using Water Efficiently
Lesson 18: Using Water Efficiently


Lesson 19: Distinguishing Circumference and Area		1. Circles: word problems
Lesson 19: Distinguishing Circumference and Area
1. Circles: word problems

Lesson 20: Stained-Glass Windows
Lesson 20: Stained-Glass Windows

6	Unit 6 Percentage Increase and Decrease
Section A - Proportional Relationships with Fractions
Lesson 1: Half as Much Again
Lesson 1: Half as Much Again


Lesson 2: Say It with Decimals		1. Convert fractions or mixed numbers to decimals
Lesson 2: Say It with Decimals
1. Convert fractions or mixed numbers to decimals
Section B - Percent Increase and Decrease
Lesson 3: Increasing and Decreasing
Lesson 3: Increasing and Decreasing


Lesson 4: One Hundred Percent		1. Percent increase or decrease: word problems
Lesson 4: One Hundred Percent
1. Percent increase or decrease: word problems

Lesson 5: Percent Increase and Decrease with Equations		1. Percent of change: find the original amount word problems
Lesson 5: Percent Increase and Decrease with Equations
1. Percent of change: find the original amount word problems

Lesson 6: More and Less than 1%		1. Percents of money amounts: with fractions and decimals
Lesson 6: More and Less than 1%
1. Percents of money amounts: with fractions and decimals
Section C - Applying Percentages
Lesson 7: Tax and Tip		1. Tax and tip: word problems Also consider: • Estimate tips
Lesson 7: Tax and Tip
1. Tax and tip: word problems Also consider: • Estimate tips

Lesson 8: Percentage Situations		1. Discount, commission, and more: word problems 2. Percent of change: word problems 3. Find the percent: tax, discount, and more Also consider: • Percent word problems with money • Percent of change • Which is the better coupon?
Lesson 8: Percentage Situations
1. Discount, commission, and more: word problems 2. Percent of change: word problems 3. Find the percent: tax, discount, and more Also consider: • Percent word problems with money • Percent of change • Which is the better coupon?

Lesson 9: Measurement Error
Lesson 9: Measurement Error


Lesson 10: Percent Error		1. Percent error: word problems
Lesson 10: Percent Error
1. Percent error: word problems

Lesson 11: Error Intervals		1. Greatest possible error
Lesson 11: Error Intervals
1. Greatest possible error
Section D - Let's Put It to Work
Lesson 12: Posing Percentage Problems		1. Multi-step problems with percents
Lesson 12: Posing Percentage Problems
1. Multi-step problems with percents

7	Unit 7 Rational Numbers
Section A - Negative Numbers and Absolute Value
Lesson 1: Positive and Negative Numbers		1. Understanding integers 2. Integers on number lines 3. Graph integers on horizontal and vertical number lines
Lesson 1: Positive and Negative Numbers
1. Understanding integers 2. Integers on number lines 3. Graph integers on horizontal and vertical number lines

Lesson 2: Comparing Positive and Negative Numbers		1. Rational numbers on number lines 2. Understanding opposite integers 3. Compare rational numbers Also consider: • Compare temperatures above and below zero • Compare integers
Lesson 2: Comparing Positive and Negative Numbers
1. Rational numbers on number lines 2. Understanding opposite integers 3. Compare rational numbers Also consider: • Compare temperatures above and below zero • Compare integers

Lesson 3: Ordering Rational Numbers		1. Put integers in order 2. Put rational numbers in order 3. Compare and order rational numbers: word problems
Lesson 3: Ordering Rational Numbers
1. Put integers in order 2. Put rational numbers in order 3. Compare and order rational numbers: word problems

Lesson 4: Absolute Value of Numbers		1. Understanding absolute value 2. Absolute value 3. Absolute value and integers: word problems
Lesson 4: Absolute Value of Numbers
1. Understanding absolute value 2. Absolute value 3. Absolute value and integers: word problems

Lesson 5: Comparing Numbers and Distance from Zero		1. Rational numbers: find the sign 2. Inequalities with absolute values
Lesson 5: Comparing Numbers and Distance from Zero
1. Rational numbers: find the sign 2. Inequalities with absolute values
Section B - Adding and Subtracting Rational Numbers
Lesson 6: Changing Temperatures		1. Add integers using number lines
Lesson 6: Changing Temperatures
1. Add integers using number lines

Lesson 7: Changing Elevation		1. Quantities that combine to zero: word problems 2. Integer addition rules 3. Add integers Also consider: • Add three or more integers
Lesson 7: Changing Elevation
1. Quantities that combine to zero: word problems 2. Integer addition rules 3. Add integers Also consider: • Add three or more integers

Lesson 8: Money and Debts		1. Keeping financial records 2. Balance a budget 3. Adjust a budget
Lesson 8: Money and Debts
1. Keeping financial records 2. Balance a budget 3. Adjust a budget

Lesson 9: Representing Subtraction		1. Subtract integers using number lines 2. Subtract integers Also consider: • Integer subtraction rules
Lesson 9: Representing Subtraction
1. Subtract integers using number lines 2. Subtract integers Also consider: • Integer subtraction rules

Lesson 10: Subtracting Rational Numbers		1. Add and subtract rational numbers 2. Add and subtract integers: word problems Also consider: • Complete addition and subtraction equations with integers • Apply addition and subtraction rules
Lesson 10: Subtracting Rational Numbers
1. Add and subtract rational numbers 2. Add and subtract integers: word problems Also consider: • Complete addition and subtraction equations with integers • Apply addition and subtraction rules
Section C - The Coordinate Plane
Lesson 11: Constructing the Coordinate Plane		1. Objects on a coordinate plane 2. Graph points on a coordinate plane 3. Quadrants
Lesson 11: Constructing the Coordinate Plane
1. Objects on a coordinate plane 2. Graph points on a coordinate plane 3. Quadrants

Lesson 12: Interpreting Points on a Coordinate Plane		1. Coordinate planes as maps 2. Follow directions on a coordinate plane
Lesson 12: Interpreting Points on a Coordinate Plane
1. Coordinate planes as maps 2. Follow directions on a coordinate plane

Lesson 13: Distances and Shapes on the Coordinate Plane		1. Distance between two points 2. Reflect a point over an axis 3. Graph triangles and quadrilaterals Also consider: • Area and perimeter of squares and rectangles on the coordinate plane
Lesson 13: Distances and Shapes on the Coordinate Plane
1. Distance between two points 2. Reflect a point over an axis 3. Graph triangles and quadrilaterals Also consider: • Area and perimeter of squares and rectangles on the coordinate plane
Section D - Multiplying and Dividing Rational Numbers
Lesson 14: Position, Speed, Direction		1. Understand multiplying by a negative integer using a number line 2. Multiply integers: find the sign 3. Multiply integers
Lesson 14: Position, Speed, Direction
1. Understand multiplying by a negative integer using a number line 2. Multiply integers: find the sign 3. Multiply integers

Lesson 15: Multiplying Rational Numbers		1. Multiply rational numbers 2. Complete multiplication equations with integers
Lesson 15: Multiplying Rational Numbers
1. Multiply rational numbers 2. Complete multiplication equations with integers

Lesson 16: Dividing Rational Numbers		1. Divide integers: find the sign 2. Divide integers 3. Identify quotients of rational numbers: word problems Also consider: • Apply multiplication and division rules
Lesson 16: Dividing Rational Numbers
1. Divide integers: find the sign 2. Divide integers 3. Identify quotients of rational numbers: word problems Also consider: • Apply multiplication and division rules

Lesson 17: Negative Rates		1. Evaluate linear expressions with negatives Also consider: • Multiply and divide integers • Multiply and divide rational numbers
Lesson 17: Negative Rates
1. Evaluate linear expressions with negatives Also consider: • Multiply and divide integers • Multiply and divide rational numbers
Section E - Equations with Rational Numbers
Lesson 18: Expressions with Rational Numbers		1. Equal quotients of integers 2. Understand operations with rational numbers
Lesson 18: Expressions with Rational Numbers
1. Equal quotients of integers 2. Understand operations with rational numbers

Lesson 19: Solving Equations with Rational Numbers		1. Solve one-step equations 2. Which x satisfies the one-step equation?
Lesson 19: Solving Equations with Rational Numbers
1. Solve one-step equations 2. Which x satisfies the one-step equation?

Lesson 20: Representing Contexts with Equations		1. Write an equation from words
Lesson 20: Representing Contexts with Equations
1. Write an equation from words
Section F - Let's Put It to Work
Lesson 21: Drawing on the Coordinate Plane		1. Coordinate plane review
Lesson 21: Drawing on the Coordinate Plane
1. Coordinate plane review

Lesson 22: The Stock Market		1. Percent of change: increases and decreases
Lesson 22: The Stock Market
1. Percent of change: increases and decreases

8	Unit 8 Data Sets and Distributions
Section A - Dot Plots and Histograms
Lesson 1: Representing Data Graphically		1. Create frequency tables 2. Interpret line plots 3. Create line plots Also consider: • Create frequency tables: categorical data • Create bar graphs • Interpret bar graphs
Lesson 1: Representing Data Graphically
1. Create frequency tables 2. Interpret line plots 3. Create line plots Also consider: • Create frequency tables: categorical data • Create bar graphs • Interpret bar graphs

Lesson 2: Using Dot Plots to Answer Statistical Questions		1. Describe shapes of distributions in line plots
Lesson 2: Using Dot Plots to Answer Statistical Questions
1. Describe shapes of distributions in line plots

Lesson 3: Interpreting Histograms		1. Create histograms 2. Interpret histograms
Lesson 3: Interpreting Histograms
1. Create histograms 2. Interpret histograms
Section B - Measures of Center and Variability
Lesson 4: The Mean		1. Calculate mean 2. Mean: find the missing number
Lesson 4: The Mean
1. Calculate mean 2. Mean: find the missing number

Lesson 5: Variability and MAD		1. Calculate mean absolute deviation Also consider: • Interpret mean and mean absolute deviation
Lesson 5: Variability and MAD
1. Calculate mean absolute deviation Also consider: • Interpret mean and mean absolute deviation

Lesson 6: The Median		1. Calculate median 2. Changes in mean and median
Lesson 6: The Median
1. Calculate median 2. Changes in mean and median

Lesson 7: Box Plots and Interquartile Range		1. Calculate range, quartiles, and interquartile range 2. Measures of center and spread 3. Box plots
Lesson 7: Box Plots and Interquartile Range
1. Calculate range, quartiles, and interquartile range 2. Measures of center and spread 3. Box plots
Section C - Sampling
Lesson 8: Larger Populations		1. Populations and samples
Lesson 8: Larger Populations
1. Populations and samples

Lesson 9: What Makes a Good Sample?
Lesson 9: What Makes a Good Sample?


Lesson 10: Sampling in a Fair Way		1. Identify representative, random, and biased samples
Lesson 10: Sampling in a Fair Way
1. Identify representative, random, and biased samples

Lesson 11: Estimating Population Measures of Center		1. Choose appropriate measures of center and variation
Lesson 11: Estimating Population Measures of Center
1. Choose appropriate measures of center and variation

Lesson 12: More About Sampling Variability		1. Make inferences from multiple samples
Lesson 12: More About Sampling Variability
1. Make inferences from multiple samples
Section D - Probabilities of Single Step Events
Lesson 13: What Are Probabilities?		1. Probability of simple events
Lesson 13: What Are Probabilities?
1. Probability of simple events

Lesson 14: Estimating Probabilities Through Repeated Experiments		1. Use collected data to find probabilities and make predictions 2. Experimental probability
Lesson 14: Estimating Probabilities Through Repeated Experiments
1. Use collected data to find probabilities and make predictions 2. Experimental probability

Lesson 15: Keeping Track of All Possible Outcomes		1. Sample spaces for compound events 2. Compound events: find the number of outcomes by counting Also consider: • Compound events: find the number of sums • Counting principle
Lesson 15: Keeping Track of All Possible Outcomes
1. Sample spaces for compound events 2. Compound events: find the number of outcomes by counting Also consider: • Compound events: find the number of sums • Counting principle

Lesson 16: Multi-Step Experiments		1. Probability of compound events
Lesson 16: Multi-Step Experiments
1. Probability of compound events

Lesson 17: Designing Simulations		1. Which simulation represents the situation?
Lesson 17: Designing Simulations
1. Which simulation represents the situation?

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.