IXL skill plan | Course 2 plan for Carnegie Learning Math (2022)

Skill plan for Carnegie Learning Math (2022) - Course 2

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

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1	Module 1 Thinking Proportionally
Topic 1 - Circles and Ratio
Lesson 1.1: Pi: The Ultimate Ratio		1. Parts of a circle 2. Circumference of circles
Lesson 1.1: Pi: The Ultimate Ratio
1. Parts of a circle 2. Circumference of circles

Lesson 1.2: That's a Spicy Pizza!		1. Area of circles 2. Circles: word problems
Lesson 1.2: That's a Spicy Pizza!
1. Area of circles 2. Circles: word problems

Lesson 1.3: Circular Reasoning		1. Area of semicircles and quarter circles 2. Area of compound figures with triangles, semicircles, and quarter circles 3. Area between two shapes
Lesson 1.3: Circular Reasoning
1. Area of semicircles and quarter circles 2. Area of compound figures with triangles, semicircles, and quarter circles 3. Area between two shapes

Lesson 1.4: Pound for Pound, Inch for Inch		1. Scale drawings of polygons 2. Scale drawings: word problems 3. Scale drawings: scale factor word problems
Lesson 1.4: Pound for Pound, Inch for Inch
1. Scale drawings of polygons 2. Scale drawings: word problems 3. Scale drawings: scale factor word problems
Topic 2 - Proportionality
Lesson 2.1: Poultry in Motion		1. Unit rates 2. Calculate unit rates with fractions 3. Compare rates: word problems Also consider: • Simplify complex fractions • Ratios and rates: complete a table and make a graph • Compare ratios: word problems
Lesson 2.1: Poultry in Motion
1. Unit rates 2. Calculate unit rates with fractions 3. Compare rates: word problems Also consider: • Simplify complex fractions • Ratios and rates: complete a table and make a graph • Compare ratios: word problems

Lesson 2.2: How Does Your Garden Grow?		1. Identify proportional relationships by graphing 2. Identify proportional relationships from tables 3. Identify linear and nonlinear functions Also consider: • Identify direct variation
Lesson 2.2: How Does Your Garden Grow?
1. Identify proportional relationships by graphing 2. Identify proportional relationships from tables 3. Identify linear and nonlinear functions Also consider: • Identify direct variation

Lesson 2.3: Tagging Sharks		1. Solve proportions 2. Solve proportions: word problems 3. Estimate population size using proportions Also consider: • Do the ratios form a proportion? • Do the ratios form a proportion: word problems
Lesson 2.3: Tagging Sharks
1. Solve proportions 2. Solve proportions: word problems 3. Estimate population size using proportions Also consider: • Do the ratios form a proportion? • Do the ratios form a proportion: word problems

Lesson 2.4: Complying with Title IX		1. Find the constant of proportionality from a table 2. Write equations for proportional relationships from tables Also consider: • Write and solve direct variation equations
Lesson 2.4: Complying with Title IX
1. Find the constant of proportionality from a table 2. Write equations for proportional relationships from tables Also consider: • Write and solve direct variation equations

Lesson 2.5: Fish-Inches		1. Identify graphs of proportional relationships 2. Interpret graphs of proportional relationships 3. Find the constant of proportionality from a graph
Lesson 2.5: Fish-Inches
1. Identify graphs of proportional relationships 2. Interpret graphs of proportional relationships 3. Find the constant of proportionality from a graph

Lesson 2.6: Minding Your Ps and Qs		1. Write equations for proportional relationships from graphs 2. Complete a table and graph a proportional relationship 3. Write and solve equations for proportional relationships
Lesson 2.6: Minding Your Ps and Qs
1. Write equations for proportional relationships from graphs 2. Complete a table and graph a proportional relationship 3. Write and solve equations for proportional relationships
Topic 3 - Proportional Relationships
Lesson 3.1: Markups and Markdowns		1. Solve percent problems using strip models 2. Markups and sales 3. Find the percent: markups and sales Also consider: • Sale prices: find the original price • Which is the better coupon?
Lesson 3.1: Markups and Markdowns
1. Solve percent problems using strip models 2. Markups and sales 3. Find the percent: markups and sales Also consider: • Sale prices: find the original price • Which is the better coupon?

Lesson 3.2: Perks of Work		1. Solve percent equations 2. Tips and commission 3. Simple interest Also consider: • Estimate tips • Solve percent equations: word problems
Lesson 3.2: Perks of Work
1. Solve percent equations 2. Tips and commission 3. Simple interest Also consider: • Estimate tips • Solve percent equations: word problems

Lesson 3.3: No Taxation Without Calculation		1. Sales tax
Lesson 3.3: No Taxation Without Calculation
1. Sales tax

Lesson 3.4: More Ups and Downs		1. Percent of change 2. Percent of change: word problems 3. Multi-step problems with percents Also consider: • Percent of change: find the original amount word problems
Lesson 3.4: More Ups and Downs
1. Percent of change 2. Percent of change: word problems 3. Multi-step problems with percents Also consider: • Percent of change: find the original amount word problems

2	Module 2 Operating with Signed Numbers
Topic 1 - Adding and Subtracting Rational Numbers
Lesson 1.1: Math Football		1. Understanding integers 2. Integers on number lines 3. Graph integers on horizontal and vertical number lines
Lesson 1.1: Math Football
1. Understanding integers 2. Integers on number lines 3. Graph integers on horizontal and vertical number lines

Lesson 1.2: Walk the Line		1. Add integers using number lines 2. Integer addition rules Also consider: • Understanding absolute value • Absolute value and opposite integers
Lesson 1.2: Walk the Line
1. Add integers using number lines 2. Integer addition rules Also consider: • Understanding absolute value • Absolute value and opposite integers

Lesson 1.3: Two-Color Counters		1. Quantities that combine to zero: word problems 2. Add integers using counters 3. Add integers Also consider: • Add three or more integers
Lesson 1.3: Two-Color Counters
1. Quantities that combine to zero: word problems 2. Add integers using counters 3. Add integers Also consider: • Add three or more integers

Lesson 1.4: What's the Difference?		1. Subtract integers using counters 2. Integer subtraction rules 3. Subtract integers Also consider: • Subtract integers using number lines • Add and subtract integers • Add and subtract integers: word problems • Complete addition and subtraction equations with integers
Lesson 1.4: What's the Difference?
1. Subtract integers using counters 2. Integer subtraction rules 3. Subtract integers Also consider: • Subtract integers using number lines • Add and subtract integers • Add and subtract integers: word problems • Complete addition and subtraction equations with integers

Lesson 1.5: All Mixed Up		1. Apply addition and subtraction rules 2. Add and subtract rational numbers Also consider: • Add and subtract positive and negative decimals • Add and subtract decimals: word problems • Add and subtract positive and negative fractions • Add and subtract fractions and mixed numbers: word problems
Lesson 1.5: All Mixed Up
1. Apply addition and subtraction rules 2. Add and subtract rational numbers Also consider: • Add and subtract positive and negative decimals • Add and subtract decimals: word problems • Add and subtract positive and negative fractions • Add and subtract fractions and mixed numbers: word problems
Topic 2 - Multiplying and Dividing Rational Numbers
Lesson 2.1: Equal Groups		1. Integer multiplication and division rules 2. Multiply and divide integers Also consider: • Understand multiplying by a negative integer using a number line • Complete multiplication and division equations with integers
Lesson 2.1: Equal Groups
1. Integer multiplication and division rules 2. Multiply and divide integers Also consider: • Understand multiplying by a negative integer using a number line • Complete multiplication and division equations with integers

Lesson 2.2: Be Rational!		1. Convert fractions or mixed numbers to decimals 2. Equal quotients of integers 3. Percent error: word problems Also consider: • Multiply and divide rational numbers
Lesson 2.2: Be Rational!
1. Convert fractions or mixed numbers to decimals 2. Equal quotients of integers 3. Percent error: word problems Also consider: • Multiply and divide rational numbers

Lesson 2.3: Properties Schmoperties		1. Properties of addition and multiplication 2. Evaluate numerical expressions involving fractions 3. Evaluate numerical expressions involving decimals Also consider: • Add, subtract, multiply, and divide rational numbers • Evaluate numerical expressions involving integers
Lesson 2.3: Properties Schmoperties
1. Properties of addition and multiplication 2. Evaluate numerical expressions involving fractions 3. Evaluate numerical expressions involving decimals Also consider: • Add, subtract, multiply, and divide rational numbers • Evaluate numerical expressions involving integers

3	Module 3 Reasoning Algebraically
Topic 1 - Two-Step Expressions and Equations
Lesson 1.1: No Substitute for Hard Work		1. Identify terms and coefficients 2. Simplify expressions by combining like terms 3. Write variable expressions: word problems 4. Evaluate linear expressions Also consider: • Evaluate nonlinear expressions • Write variable expressions
Lesson 1.1: No Substitute for Hard Work
1. Identify terms and coefficients 2. Simplify expressions by combining like terms 3. Write variable expressions: word problems 4. Evaluate linear expressions Also consider: • Evaluate nonlinear expressions • Write variable expressions

Lesson 1.2: Picture Algebra		1. Choose two-step equations: word problems 2. Which x satisfies an equation?
Lesson 1.2: Picture Algebra
1. Choose two-step equations: word problems 2. Which x satisfies an equation?

Lesson 1.3: Expressions That Play Together...		1. Write and solve equations that represent diagrams Also consider: • Model and solve equations using algebra tiles
Lesson 1.3: Expressions That Play Together...
1. Write and solve equations that represent diagrams Also consider: • Model and solve equations using algebra tiles

Lesson 1.4: Formally Yours		1. Solve two-step equations without parentheses Also consider: • Solve two-step equations: word problems
Lesson 1.4: Formally Yours
1. Solve two-step equations without parentheses Also consider: • Solve two-step equations: word problems

Lesson 1.5: Put It on the Plane		1. Identify independent and dependent variables 2. Interpret a graph: word problems 3. Complete a table for a linear relationship: word problems Also consider: • Evaluate two-variable equations: word problems • Interpret the slope and y-intercept of a linear function
Lesson 1.5: Put It on the Plane
1. Identify independent and dependent variables 2. Interpret a graph: word problems 3. Complete a table for a linear relationship: word problems Also consider: • Evaluate two-variable equations: word problems • Interpret the slope and y-intercept of a linear function
Topic 2 - Multiple Representations of Equations and Inequalities
Lesson 2.1: Mathematics Gymnastics		1. Multiply using the distributive property 2. Add and subtract linear expressions 3. Factors of linear expressions 4. Solve two-step equations with parentheses Also consider: • Multiply using the distributive property: area models • Factor linear expressions: area models • Identify equivalent linear expressions I • Identify equivalent linear expressions II • Write equivalent expressions using properties
Lesson 2.1: Mathematics Gymnastics
1. Multiply using the distributive property 2. Add and subtract linear expressions 3. Factors of linear expressions 4. Solve two-step equations with parentheses Also consider: • Multiply using the distributive property: area models • Factor linear expressions: area models • Identify equivalent linear expressions I • Identify equivalent linear expressions II • Write equivalent expressions using properties

Lesson 2.2: Stations, Stacks, and Structure		1. Identify equivalent linear expressions: word problems 2. Write a linear equation: word problems
Lesson 2.2: Stations, Stacks, and Structure
1. Identify equivalent linear expressions: word problems 2. Write a linear equation: word problems

Lesson 2.3: Be Greater Than		1. Graph solutions to one-step inequalities 2. One-step inequalities: word problems 3. Graph solutions to two-step inequalities Also consider: • Solutions to inequalities • Graph inequalities on number lines • Write inequalities from number lines
Lesson 2.3: Be Greater Than
1. Graph solutions to one-step inequalities 2. One-step inequalities: word problems 3. Graph solutions to two-step inequalities Also consider: • Solutions to inequalities • Graph inequalities on number lines • Write inequalities from number lines

Lesson 2.4: Deep Dive		1. Constant rate of change: graphs 2. Write linear equations: word problems
Lesson 2.4: Deep Dive
1. Constant rate of change: graphs 2. Write linear equations: word problems

Lesson 2.5: Texas Tea		1. Write an equation from a graph using a table 2. Complete a table and graph a linear function Also consider: • Complete a table and make a graph: word problems • Identify the graph of an equation
Lesson 2.5: Texas Tea
1. Write an equation from a graph using a table 2. Complete a table and graph a linear function Also consider: • Complete a table and make a graph: word problems • Identify the graph of an equation

Checkpoint opportunity		1. Checkpoint: Solve two-step equations 2. Checkpoint: Solve two-step inequalities
Checkpoint opportunity
1. Checkpoint: Solve two-step equations 2. Checkpoint: Solve two-step inequalities

4	Module 4 Analyzing Populations and Probabilities
Topic 1 - Introduction to Probability
Lesson 1.1: Rolling, Rolling, Rolling...		1. Probability of simple events 2. Probability of simple events and opposite events
Lesson 1.1: Rolling, Rolling, Rolling...
1. Probability of simple events 2. Probability of simple events and opposite events

Lesson 1.2: Give the Models a Chance
Lesson 1.2: Give the Models a Chance


Lesson 1.3: Toss the Cup		1. Experimental probability 2. Make predictions using experimental probability 3. Use collected data to find probabilities and make predictions 4. Make predictions using theoretical probability
Lesson 1.3: Toss the Cup
1. Experimental probability 2. Make predictions using experimental probability 3. Use collected data to find probabilities and make predictions 4. Make predictions using theoretical probability

Lesson 1.4: A Simulating Conversation
Lesson 1.4: A Simulating Conversation

Topic 2 - Compound Probability
Lesson 2.1: Evens or Odds?		1. Find the number of outcomes: word problems
Lesson 2.1: Evens or Odds?
1. Find the number of outcomes: word problems

Lesson 2.2: Puppy Love		1. Samples spaces for compound events using tree diagrams 2. Compound events: find the number of outcomes 3. Samples spaces for compound events using tables 4. Compound events: find the number of sums
Lesson 2.2: Puppy Love
1. Samples spaces for compound events using tree diagrams 2. Compound events: find the number of outcomes 3. Samples spaces for compound events using tables 4. Compound events: find the number of sums

Lesson 2.3: Pet Probability		1. Probability of compound events
Lesson 2.3: Pet Probability
1. Probability of compound events

Lesson 2.4: On a Hot Streak		1. Which simulation represents the situation?
Lesson 2.4: On a Hot Streak
1. Which simulation represents the situation?
Topic 3 - Drawing Inferences
Lesson 3.1: We Want to Hear From You!		1. Identify representative and random samples 2. Populations and samples
Lesson 3.1: We Want to Hear From You!
1. Identify representative and random samples 2. Populations and samples

Lesson 3.2: Tiles, Gumballs, and Pumpkins		1. Make inferences from multiple samples Also consider: • Describe distributions in line plots
Lesson 3.2: Tiles, Gumballs, and Pumpkins
1. Make inferences from multiple samples Also consider: • Describe distributions in line plots

Lesson 3.3: Spicy or Dark?		1. Calculate mean and median 2. Calculate mean absolute deviation 3. Calculate quartiles and interquartile range
Lesson 3.3: Spicy or Dark?
1. Calculate mean and median 2. Calculate mean absolute deviation 3. Calculate quartiles and interquartile range

Lesson 3.4: Finding Your Spot to Live		1. Compare populations using measures of center and spread
Lesson 3.4: Finding Your Spot to Live
1. Compare populations using measures of center and spread

5	Module 5 Constructing and Measuring
Topic 1 - Angles and Triangles
Lesson 1.1: Here's Lookin' at Euclid		1. Lines, line segments, and rays
Lesson 1.1: Here's Lookin' at Euclid
1. Lines, line segments, and rays

Lesson 1.2: Special Delivery		1. Identify complementary, supplementary, vertical, and adjacent angles 2. Find measures of complementary, supplementary, vertical, and adjacent angles 3. Write and solve equations using angle relationships Also consider: • Parallel, perpendicular, and intersecting lines
Lesson 1.2: Special Delivery
1. Identify complementary, supplementary, vertical, and adjacent angles 2. Find measures of complementary, supplementary, vertical, and adjacent angles 3. Write and solve equations using angle relationships Also consider: • Parallel, perpendicular, and intersecting lines

Lesson 1.3: Consider Every Side		1. Triangle inequality
Lesson 1.3: Consider Every Side
1. Triangle inequality

Lesson 1.4: Unique or Not?
Lesson 1.4: Unique or Not?

Topic 2 - Three-Dimensional Figures
Lesson 2.1: Solid Surgery		1. Cross sections of three-dimensional figures Also consider: • Bases of three-dimensional figures
Lesson 2.1: Solid Surgery
1. Cross sections of three-dimensional figures Also consider: • Bases of three-dimensional figures

Lesson 2.2: Hey, Mister, Got Some Bird Seed?		1. Volume of pyramids Also consider: • Volume of cubes and prisms • Volume: changes in scale I
Lesson 2.2: Hey, Mister, Got Some Bird Seed?
1. Volume of pyramids Also consider: • Volume of cubes and prisms • Volume: changes in scale I

Lesson 2.3: The Sound of Surface Area		1. Surface area of pyramids 2. Lateral area of pyramids Also consider: • Surface area of cubes and prisms • Lateral area of prisms
Lesson 2.3: The Sound of Surface Area
1. Surface area of pyramids 2. Lateral area of pyramids Also consider: • Surface area of cubes and prisms • Lateral area of prisms

Lesson 2.4: More Than Four Sides of the Story		1. Area of compound figures with triangles 2. Volume of prisms: advanced
Lesson 2.4: More Than Four Sides of the Story
1. Area of compound figures with triangles 2. Volume of prisms: advanced

This document includes the IXL® skill alignments to Carnegie Learning, Inc.'s Carnegie Learning Math (2022) curriculum. IXL provides skill alignments as a service to teachers, students, and parents. The skill alignments are provided by IXL and are not affiliated with, sponsored by, reviewed, approved or endorsed by Carnegie Learning, Inc. 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.