IXL skill plan | Course 3 plan for Carnegie Learning Math (2022)

Skill plan for Carnegie Learning Math (2022) - Course 3

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 Transforming Geometric Objects
Topic 1 - Rigid Motion Transformations
Lesson 1.1: Patty Paper, Patty Paper		1. Identify congruent figures Also consider: • Describe how a figure moves
Lesson 1.1: Patty Paper, Patty Paper
1. Identify congruent figures Also consider: • Describe how a figure moves

Lesson 1.2: Slides, Flips, and Spins		1. Identify reflections, rotations, and translations 2. Describe a sequence of transformations Also consider: • Side lengths and angle measures of congruent figures
Lesson 1.2: Slides, Flips, and Spins
1. Identify reflections, rotations, and translations 2. Describe a sequence of transformations Also consider: • Side lengths and angle measures of congruent figures

Lesson 1.3: Lateral Moves		1. Translations: graph the image 2. Translations: find the coordinates Also consider: • Translations: write the rule
Lesson 1.3: Lateral Moves
1. Translations: graph the image 2. Translations: find the coordinates Also consider: • Translations: write the rule

Lesson 1.4: Mirror, Mirror		1. Reflections over the x- and y-axes: graph the image 2. Reflections over the x- and y-axes: find the coordinates Also consider: • Reflections: graph the image • Reflections: find the coordinates
Lesson 1.4: Mirror, Mirror
1. Reflections over the x- and y-axes: graph the image 2. Reflections over the x- and y-axes: find the coordinates Also consider: • Reflections: graph the image • Reflections: find the coordinates

Lesson 1.5: Half Turns and Quarter Turns		1. Rotations: graph the image 2. Rotations: find the coordinates 3. Describe transformations Also consider: • Reflections and rotations: write the rule
Lesson 1.5: Half Turns and Quarter Turns
1. Rotations: graph the image 2. Rotations: find the coordinates 3. Describe transformations Also consider: • Reflections and rotations: write the rule

Lesson 1.6: Every Which Way		1. Sequences of congruence transformations: choose the sequence 2. Determine if two figures are congruent: justify your answer 3. Congruence statements and corresponding parts Also consider: • Sequences of congruence transformations: graph the image
Lesson 1.6: Every Which Way
1. Sequences of congruence transformations: choose the sequence 2. Determine if two figures are congruent: justify your answer 3. Congruence statements and corresponding parts Also consider: • Sequences of congruence transformations: graph the image
Topic 2 - Dilations
Lesson 2.1: Pinch-Zoom Geometry		1. Similar figures Also consider: • Similarity statements • Side lengths and angle measures of similar figures
Lesson 2.1: Pinch-Zoom Geometry
1. Similar figures Also consider: • Similarity statements • Side lengths and angle measures of similar figures

Lesson 2.2: Rising, Running, Stepping, Scaling		1. Dilations: graph the image 2. Dilations: find the coordinates
Lesson 2.2: Rising, Running, Stepping, Scaling
1. Dilations: graph the image 2. Dilations: find the coordinates

Lesson 2.3: From Here to There		1. Dilations: find scale factor and the center of the dilation 2. Determine if two figures are similar: justify your answer
Lesson 2.3: From Here to There
1. Dilations: find scale factor and the center of the dilation 2. Determine if two figures are similar: justify your answer

Checkpoint opportunity		1. Checkpoint: Congruence transformations 2. Checkpoint: Similarity transformations 3. Checkpoint: Transformations on the coordinate plane
Checkpoint opportunity
1. Checkpoint: Congruence transformations 2. Checkpoint: Similarity transformations 3. Checkpoint: Transformations on the coordinate plane
Topic 3 - Line and Angle Relationships
Lesson 3.1: Pulling a One-Eighty!		1. Triangle Angle-Sum Theorem 2. Relationship between sides and angles in a triangle 3. Exterior Angle Theorem Also consider: • Find missing angles in triangles
Lesson 3.1: Pulling a One-Eighty!
1. Triangle Angle-Sum Theorem 2. Relationship between sides and angles in a triangle 3. Exterior Angle Theorem Also consider: • Find missing angles in triangles

Lesson 3.2: Crisscross Applesauce		1. Transversals of parallel lines: name angle pairs 2. Transversals of parallel lines: find angle measures 3. Transversals of parallel lines: solve for x
Lesson 3.2: Crisscross Applesauce
1. Transversals of parallel lines: name angle pairs 2. Transversals of parallel lines: find angle measures 3. Transversals of parallel lines: solve for x

Lesson 3.3: The Vanishing Point		1. Angle-angle criterion for similar triangles
Lesson 3.3: The Vanishing Point
1. Angle-angle criterion for similar triangles

Checkpoint opportunity		1. Checkpoint: Triangles and transversals
Checkpoint opportunity
1. Checkpoint: Triangles and transversals

2	Module 2 Modeling Linear Relationships
Topic 1 - From Proportions to Linear Relationships
Lesson 1.1: Post-Secondary Proportions		1. Write equations for proportional relationships from tables and graphs 2. Write and solve equations for proportional relationships 3. Compare proportional relationships represented in different ways Also consider: • Unit rates • Find the constant of proportionality from tables and graphs • Proportional relationships: complete a table and make a graph
Lesson 1.1: Post-Secondary Proportions
1. Write equations for proportional relationships from tables and graphs 2. Write and solve equations for proportional relationships 3. Compare proportional relationships represented in different ways Also consider: • Unit rates • Find the constant of proportionality from tables and graphs • Proportional relationships: complete a table and make a graph

Lesson 1.2: Jack and Jill Went Up the Hill		1. Identify proportional relationships from graphs and equations 2. Identify proportional relationships from tables 3. Identify proportional relationships: word problems 4. Rate of change of a linear function: graphs Also consider: • Identify proportional relationships by graphing • Relate the graph of an equation to its solutions
Lesson 1.2: Jack and Jill Went Up the Hill
1. Identify proportional relationships from graphs and equations 2. Identify proportional relationships from tables 3. Identify proportional relationships: word problems 4. Rate of change of a linear function: graphs Also consider: • Identify proportional relationships by graphing • Relate the graph of an equation to its solutions

Lesson 1.3: Slippery Slopes		1. Find the slope from a graph Also consider: • Graph proportional relationships and find the slope
Lesson 1.3: Slippery Slopes
1. Find the slope from a graph Also consider: • Graph proportional relationships and find the slope

Lesson 1.4: Up, Down, and All Around		1. Graph a line from an equation 2. Write an equation from a graph
Lesson 1.4: Up, Down, and All Around
1. Graph a line from an equation 2. Write an equation from a graph

Checkpoint opportunity		1. Checkpoint: Proportional relationships
Checkpoint opportunity
1. Checkpoint: Proportional relationships
Topic 2 - Linear Relationships
Lesson 2.1: U.S. Shirts		1. Complete a table and graph a linear function 2. Complete a table for a linear function: word problems 3. Write a linear equation from a scenario Also consider: • Evaluate a linear function: word problems • Interpret points on the graph of a linear function
Lesson 2.1: U.S. Shirts
1. Complete a table and graph a linear function 2. Complete a table for a linear function: word problems 3. Write a linear equation from a scenario Also consider: • Evaluate a linear function: word problems • Interpret points on the graph of a linear function

Lesson 2.2: Been There, Done That, Got the T-Shirt		1. Find the slope from two points 2. Find the slope from a table 3. Identify linear and nonlinear functions: tables Also consider: • Find a missing coordinate using slope
Lesson 2.2: Been There, Done That, Got the T-Shirt
1. Find the slope from two points 2. Find the slope from a table 3. Identify linear and nonlinear functions: tables Also consider: • Find a missing coordinate using slope

Lesson 2.3: Dining, Dancing, Driving		1. Identify independent and dependent variables 2. Find the rate of change: word problems 3. Interpret the slope and y-intercept of a linear function
Lesson 2.3: Dining, Dancing, Driving
1. Identify independent and dependent variables 2. Find the rate of change: word problems 3. Interpret the slope and y-intercept of a linear function

Lesson 2.4: Derby Day		1. Write a linear function from a table 2. Compare linear functions: graphs and equations Also consider: • Write linear functions: word problems
Lesson 2.4: Derby Day
1. Write a linear function from a table 2. Compare linear functions: graphs and equations Also consider: • Write linear functions: word problems

Lesson 2.5: What's the Point?		1. Graph a line from an equation in slope-intercept form 2. Write a linear equation from a slope and y-intercept 3. Write a linear equation from a graph 4. Write a linear equation from a slope and a point 5. Graph a line from an equation in point-slope form Also consider: • Write a linear equation from two points • Convert a linear equation to slope-intercept form • Equations of horizontal and vertical lines
Lesson 2.5: What's the Point?
1. Graph a line from an equation in slope-intercept form 2. Write a linear equation from a slope and y-intercept 3. Write a linear equation from a graph 4. Write a linear equation from a slope and a point 5. Graph a line from an equation in point-slope form Also consider: • Write a linear equation from two points • Convert a linear equation to slope-intercept form • Equations of horizontal and vertical lines

Lesson 2.6: The Arts Are Alive		1. Graph a line from an equation in slope-intercept form 2. Graph a line from an equation in point-slope form 3. Graph a line from an equation in standard form 4. Graph a horizontal or vertical line Also consider: • Convert a linear equation to slope-intercept form • Find the slope and intercepts from an equation
Lesson 2.6: The Arts Are Alive
1. Graph a line from an equation in slope-intercept form 2. Graph a line from an equation in point-slope form 3. Graph a line from an equation in standard form 4. Graph a horizontal or vertical line Also consider: • Convert a linear equation to slope-intercept form • Find the slope and intercepts from an equation

Checkpoint opportunity		1. Checkpoint: Slope and linear equations 2. Checkpoint: Construct and interpret linear functions
Checkpoint opportunity
1. Checkpoint: Slope and linear equations 2. Checkpoint: Construct and interpret linear functions
Topic 3 - Systems of Linear Equations
Lesson 3.1: Crossing Paths		1. Is (x, y) a solution to the system of equations? 2. Solve a system of equations by graphing: word problems Also consider: • Solve a system of equations by graphing
Lesson 3.1: Crossing Paths
1. Is (x, y) a solution to the system of equations? 2. Solve a system of equations by graphing: word problems Also consider: • Solve a system of equations by graphing

Lesson 3.2: The Road Less Traveled		1. Solve equations with variables on both sides 2. Solve a system of equations using substitution 3. Solve a system of equations using substitution: word problems Also consider: • Which x satisfies an equation? • Solve equations with variables on both sides: word problems
Lesson 3.2: The Road Less Traveled
1. Solve equations with variables on both sides 2. Solve a system of equations using substitution 3. Solve a system of equations using substitution: word problems Also consider: • Which x satisfies an equation? • Solve equations with variables on both sides: word problems

Lesson 3.3: Cross-Examination		1. Solve equations with variables on both sides: fractional coefficients 2. Solve equations using the distributive property 3. Find the number of solutions to a system of equations by graphing 4. Find the number of solutions to a system of equations Also consider: • Solve multi-step equations: complete the solution • Solve multi-step equations • Solve multi-step equations with fractional coefficients
Lesson 3.3: Cross-Examination
1. Solve equations with variables on both sides: fractional coefficients 2. Solve equations using the distributive property 3. Find the number of solutions to a system of equations by graphing 4. Find the number of solutions to a system of equations Also consider: • Solve multi-step equations: complete the solution • Solve multi-step equations • Solve multi-step equations with fractional coefficients

Lesson 3.4: Rockin' Roller Rinks		1. Solve a system of equations using any method 2. Solve a system of equations using any method: word problems Also consider: • Solve a system of equations using elimination • Solve a system of equations using elimination: word problems
Lesson 3.4: Rockin' Roller Rinks
1. Solve a system of equations using any method 2. Solve a system of equations using any method: word problems Also consider: • Solve a system of equations using elimination • Solve a system of equations using elimination: word problems

Lesson 3.5: Tic-Tac-Bingo		1. Find the number of solutions 2. Create equations with no solutions or infinitely many solutions
Lesson 3.5: Tic-Tac-Bingo
1. Find the number of solutions 2. Create equations with no solutions or infinitely many solutions

Checkpoint opportunity		1. Checkpoint: Solve linear equations 2. Checkpoint: Systems of equations
Checkpoint opportunity
1. Checkpoint: Solve linear equations 2. Checkpoint: Systems of equations

3	Module 3 Developing Function Foundations
Topic 1 - Introduction to Functions
Lesson 1.1: Patterns, Sequences, Rules...		1. Shape patterns Also consider: • Sequences: mixed review • Sequences: word problems
Lesson 1.1: Patterns, Sequences, Rules...
1. Shape patterns Also consider: • Sequences: mixed review • Sequences: word problems

Lesson 1.2: Once Upon a Graph		1. Identify graphs: word problems Also consider: • Rate of change: graphs
Lesson 1.2: Once Upon a Graph
1. Identify graphs: word problems Also consider: • Rate of change: graphs

Lesson 1.3: One or More Xs to One Y		1. Identify functions 2. Identify functions: graphs 3. Domain and range of functions
Lesson 1.3: One or More Xs to One Y
1. Identify functions 2. Identify functions: graphs 3. Domain and range of functions

Lesson 1.4: Over the River and Through the Woods		1. Identify linear and nonlinear functions: graphs and equations Also consider: • Find values using function graphs • Complete a table for a function graph • Complete a function table: quadratic functions • Graph quadratic functions
Lesson 1.4: Over the River and Through the Woods
1. Identify linear and nonlinear functions: graphs and equations Also consider: • Find values using function graphs • Complete a table for a function graph • Complete a function table: quadratic functions • Graph quadratic functions

Lesson 1.5: Comparing Apples to Oranges		1. Compare linear functions: tables, graphs, and equations
Lesson 1.5: Comparing Apples to Oranges
1. Compare linear functions: tables, graphs, and equations

Checkpoint opportunity		1. Checkpoint: Understand functions 2. Checkpoint: Compare linear functions 3. Checkpoint: Linear and nonlinear functions 4. Checkpoint: Sketch and describe graphs
Checkpoint opportunity
1. Checkpoint: Understand functions 2. Checkpoint: Compare linear functions 3. Checkpoint: Linear and nonlinear functions 4. Checkpoint: Sketch and describe graphs
Topic 2 - Patterns in Bivariate Data
Lesson 2.1: Pass the Squeeze		1. Interpret scatter plots 2. Create scatter plots 3. Identify trends with scatter plots 4. Outliers in scatter plots
Lesson 2.1: Pass the Squeeze
1. Interpret scatter plots 2. Create scatter plots 3. Identify trends with scatter plots 4. Outliers in scatter plots

Lesson 2.2 Off the Chain Lesson 2.3: Mia Is Growing Like a Weed Lesson 2.4: The Stroop Test		1. Identify lines of best fit 2. Write equations for lines of best fit 3. Interpret lines of best fit: word problems Also consider: • Predictions and trends in scatter plots
Lesson 2.2 Off the Chain Lesson 2.3: Mia Is Growing Like a Weed Lesson 2.4: The Stroop Test
1. Identify lines of best fit 2. Write equations for lines of best fit 3. Interpret lines of best fit: word problems Also consider: • Predictions and trends in scatter plots

Lesson 2.5: Would You Rather...?		1. Find probabilities using two-way frequency tables
Lesson 2.5: Would You Rather...?
1. Find probabilities using two-way frequency tables

Checkpoint opportunity		1. Checkpoint: Scatter plots 2. Checkpoint: Lines of best fit 3. Checkpoint: Linear models: interpret and solve 4. Checkpoint: Two-way frequency tables
Checkpoint opportunity
1. Checkpoint: Scatter plots 2. Checkpoint: Lines of best fit 3. Checkpoint: Linear models: interpret and solve 4. Checkpoint: Two-way frequency tables

4	Module 4 Expanding Number Systems
Topic 1 - The Real Number System
Lesson 1.1 So Many Numbers, So Little Time Lesson 1.2: Rational Decisions		1. Convert between decimals and fractions or mixed numbers 2. Put rational numbers in order 3. Classify rational numbers Also consider: • Convert between repeating decimals and fractions
Lesson 1.1 So Many Numbers, So Little Time Lesson 1.2: Rational Decisions
1. Convert between decimals and fractions or mixed numbers 2. Put rational numbers in order 3. Classify rational numbers Also consider: • Convert between repeating decimals and fractions

Lesson 1.3: What Are Those?!		1. Estimate positive square roots 2. Estimate cube roots 3. Irrational numbers on number lines 4. Identify rational and irrational numbers Also consider: • Relationship between squares and square roots • Solve equations using square roots • Positive square roots and cube roots • Solve equations using cube roots • Identify rational and irrational square roots • Compare and order rational and irrational numbers
Lesson 1.3: What Are Those?!
1. Estimate positive square roots 2. Estimate cube roots 3. Irrational numbers on number lines 4. Identify rational and irrational numbers Also consider: • Relationship between squares and square roots • Solve equations using square roots • Positive square roots and cube roots • Solve equations using cube roots • Identify rational and irrational square roots • Compare and order rational and irrational numbers

Checkpoint opportunity		1. Checkpoint: Square and cube roots 2. Checkpoint: Rational and irrational numbers 3. Checkpoint: Approximate irrational numbers
Checkpoint opportunity
1. Checkpoint: Square and cube roots 2. Checkpoint: Rational and irrational numbers 3. Checkpoint: Approximate irrational numbers
Topic 2 - Pythagorean Theorem
Lesson 2.1: The Right Triangle Connection		1. Pythagorean theorem: find the missing leg or hypotenuse length 2. Pythagorean theorem: word problems Also consider: • Pythagorean theorem: find the perimeter
Lesson 2.1: The Right Triangle Connection
1. Pythagorean theorem: find the missing leg or hypotenuse length 2. Pythagorean theorem: word problems Also consider: • Pythagorean theorem: find the perimeter

Lesson 2.2: Can That Be Right?		1. Converse of the Pythagorean theorem: is it a right triangle?
Lesson 2.2: Can That Be Right?
1. Converse of the Pythagorean theorem: is it a right triangle?

Lesson 2.3: Pythagoras Meets Descartes		1. Find the distance between two points
Lesson 2.3: Pythagoras Meets Descartes
1. Find the distance between two points

Lesson 2.4: Catty Corner
Lesson 2.4: Catty Corner


Checkpoint opportunity		1. Checkpoint: Pythagorean theorem and its converse 2. Checkpoint: Applications of the Pythagorean theorem
Checkpoint opportunity
1. Checkpoint: Pythagorean theorem and its converse 2. Checkpoint: Applications of the Pythagorean theorem

5	Module 5 Applying Powers
Topic 1 - Exponents and Scientific Notation
Lesson 1.1: It's a Generational Thing		1. Evaluate powers 2. Understanding negative exponents 3. Evaluate powers with negative or zero exponents 4. Multiplication with integer exponents 5. Division with integer exponents 6. Power rule with integer exponents
Lesson 1.1: It's a Generational Thing
1. Evaluate powers 2. Understanding negative exponents 3. Evaluate powers with negative or zero exponents 4. Multiplication with integer exponents 5. Division with integer exponents 6. Power rule with integer exponents

Lesson 1.2: Show What You Know		1. Simplify expressions using properties of exponents Also consider: • Evaluate expressions using properties of exponents • Identify equivalent expressions involving exponents I • Identify equivalent expressions involving exponents II
Lesson 1.2: Show What You Know
1. Simplify expressions using properties of exponents Also consider: • Evaluate expressions using properties of exponents • Identify equivalent expressions involving exponents I • Identify equivalent expressions involving exponents II

Lesson 1.3: The Big and Small of It		1. Convert between standard and scientific notation 2. Scientific notation on calculators 3. Compare numbers written in scientific notation
Lesson 1.3: The Big and Small of It
1. Convert between standard and scientific notation 2. Scientific notation on calculators 3. Compare numbers written in scientific notation

Lesson 1.4: How Much Larger?		1. Add and subtract numbers written in scientific notation 2. Multiply numbers written in scientific notation 3. Divide numbers written in scientific notation
Lesson 1.4: How Much Larger?
1. Add and subtract numbers written in scientific notation 2. Multiply numbers written in scientific notation 3. Divide numbers written in scientific notation

Checkpoint opportunity		1. Checkpoint: Properties of exponents 2. Checkpoint: Scientific notation
Checkpoint opportunity
1. Checkpoint: Properties of exponents 2. Checkpoint: Scientific notation
Topic 2 - Volume of Curved Figures
Lesson 2.1: Drum Roll, Please!		1. Volume of cylinders Also consider: • Volume of cylinders: find the missing dimension
Lesson 2.1: Drum Roll, Please!
1. Volume of cylinders Also consider: • Volume of cylinders: find the missing dimension

Lesson 2.2: Cone of Silence		1. Volume of cones Also consider: • Volume of cones: find the missing dimension
Lesson 2.2: Cone of Silence
1. Volume of cones Also consider: • Volume of cones: find the missing dimension

Lesson 2.3: Pulled in All Directions		1. Volume of spheres
Lesson 2.3: Pulled in All Directions
1. Volume of spheres

Lesson 2.4: Silos, Frozen Yogurt, and Popcorn
Lesson 2.4: Silos, Frozen Yogurt, and Popcorn


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

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.