IXL skill plan | Course 1 plan for Carnegie Learning Math (2022)

Skill plan for Carnegie Learning Math (2022) - Course 1

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1	Module 1 Composing and Decomposing
Topic 1 - Factors and Multiples
Lesson 1.1: Taking Apart Numbers and Shapes		1. Multiply using area models 2. Multiply numbers using the distributive property Also consider: • Area of rectangles and squares • Distributive property: find the missing number
Lesson 1.1: Taking Apart Numbers and Shapes
1. Multiply using area models 2. Multiply numbers using the distributive property Also consider: • Area of rectangles and squares • Distributive property: find the missing number

Lesson 1.2: Searching for Common Ground		1. Prime factorization with exponents 2. Greatest common factor 3. Factor numerical expressions using the distributive property 4. Least common multiple Also consider: • Identify factors • Find all the factor pairs of a number
Lesson 1.2: Searching for Common Ground
1. Prime factorization with exponents 2. Greatest common factor 3. Factor numerical expressions using the distributive property 4. Least common multiple Also consider: • Identify factors • Find all the factor pairs of a number

Lesson 1.3: Composing and Decomposing Numbers		1. Greatest common factor of three or four numbers 2. GCF and LCM: word problems Also consider: • Least common multiple of three or four numbers
Lesson 1.3: Composing and Decomposing Numbers
1. Greatest common factor of three or four numbers 2. GCF and LCM: word problems Also consider: • Least common multiple of three or four numbers

Lesson 1.4: Did You Get the Part?		1. Multiply two fractions 2. Multiply mixed numbers 3. Multiply mixed numbers: word problems Also consider: • Multiply two fractions using models • Multiply with mixed numbers using area models
Lesson 1.4: Did You Get the Part?
1. Multiply two fractions 2. Multiply mixed numbers 3. Multiply mixed numbers: word problems Also consider: • Multiply two fractions using models • Multiply with mixed numbers using area models

Lesson 1.5: Yours IS to Reason Why!		1. Divide fractions 2. Divide fractions and mixed numbers 3. Divide fractions and mixed numbers: word problems Also consider: • Reciprocals • Divide fractions and mixed numbers using models: word problems • Divide whole numbers and fractions using models
Lesson 1.5: Yours IS to Reason Why!
1. Divide fractions 2. Divide fractions and mixed numbers 3. Divide fractions and mixed numbers: word problems Also consider: • Reciprocals • Divide fractions and mixed numbers using models: word problems • Divide whole numbers and fractions using models
Topic 2 - Area, Volume, and Surface Area
Lesson 2.1: All About That Base...and Height		1. Understanding area of a parallelogram 2. Understanding area of a triangle 3. Understanding area of a trapezoid Also consider: • Area of parallelograms • Area of triangles • Area of trapezoids • Area of quadrilaterals and triangles: word problems
Lesson 2.1: All About That Base...and Height
1. Understanding area of a parallelogram 2. Understanding area of a triangle 3. Understanding area of a trapezoid Also consider: • Area of parallelograms • Area of triangles • Area of trapezoids • Area of quadrilaterals and triangles: word problems

Lesson 2.2: Slicing and Dicing		1. Area of compound figures with triangles 2. Area of complex figures: word problems 3. Area between two rectangles Also consider: • Area between two triangles
Lesson 2.2: Slicing and Dicing
1. Area of compound figures with triangles 2. Area of complex figures: word problems 3. Area between two rectangles Also consider: • Area between two triangles

Lesson 2.3: Length, Width, and Depth		1. Volume of cubes and rectangular prisms with fractional side lengths 2. Volume of cubes and rectangular prisms: word problems Also consider: • Multiply three or more mixed numbers, fractions, and/or whole numbers
Lesson 2.3: Length, Width, and Depth
1. Volume of cubes and rectangular prisms with fractional side lengths 2. Volume of cubes and rectangular prisms: word problems Also consider: • Multiply three or more mixed numbers, fractions, and/or whole numbers

Lesson 2.4: Breaking the Fourth Wall		1. Nets of three-dimensional figures 2. Surface area of prisms and pyramids Also consider: • Front, side, and top view
Lesson 2.4: Breaking the Fourth Wall
1. Nets of three-dimensional figures 2. Surface area of prisms and pyramids Also consider: • Front, side, and top view
Topic 3 - Decimals
Lesson 3.1: You Have a Point		1. Compare decimals and fractions on number lines 2. Compare decimals 3. Compare and order decimals up to hundredths Also consider: • Compare fractions and decimals I • Compare fractions and decimals II • Put a mix of decimals and fractions in order
Lesson 3.1: You Have a Point
1. Compare decimals and fractions on number lines 2. Compare decimals 3. Compare and order decimals up to hundredths Also consider: • Compare fractions and decimals I • Compare fractions and decimals II • Put a mix of decimals and fractions in order

Lesson 3.2: Get in Line		1. Add and subtract decimal numbers 2. Add and subtract decimals: word problems Also consider: • Add and subtract money amounts: word problems • Estimate sums and differences of decimals
Lesson 3.2: Get in Line
1. Add and subtract decimal numbers 2. Add and subtract decimals: word problems Also consider: • Add and subtract money amounts: word problems • Estimate sums and differences of decimals

Lesson 3.3: Product Placement		1. Multiply two decimals: where does the decimal point go? 2. Multiply decimals 3. Multiply decimals and whole numbers: word problems Also consider: • Estimate products of decimal numbers • Volume of cubes and rectangular prisms
Lesson 3.3: Product Placement
1. Multiply two decimals: where does the decimal point go? 2. Multiply decimals 3. Multiply decimals and whole numbers: word problems Also consider: • Estimate products of decimal numbers • Volume of cubes and rectangular prisms

Lesson 3.4: Dividend in the House		1. Estimate decimal quotients 2. Division with decimal divisors 3. Convert fractions to decimals Also consider: • Divide decimals by whole numbers: word problems • Convert between fractions and repeating decimals
Lesson 3.4: Dividend in the House
1. Estimate decimal quotients 2. Division with decimal divisors 3. Convert fractions to decimals Also consider: • Divide decimals by whole numbers: word problems • Convert between fractions and repeating decimals

2	Module 2 Relating Quantities
Topic 1 - Ratios
Lesson 1.1: It's All Relative		1. Write a ratio 2. Write a ratio: word problems 3. What percentage is illustrated? Also consider: • Which model represents the ratio?
Lesson 1.1: It's All Relative
1. Write a ratio 2. Write a ratio: word problems 3. What percentage is illustrated? Also consider: • Which model represents the ratio?

Lesson 1.2: Going Strong		1. Find the greater or lower ratio: word problems
Lesson 1.2: Going Strong
1. Find the greater or lower ratio: word problems

Lesson 1.3: Different but the Same		1. Equivalent ratios: word problems 2. Solve the proportion 3. Use tape diagrams to solve ratio word problems Also consider: • Write an equivalent ratio
Lesson 1.3: Different but the Same
1. Equivalent ratios: word problems 2. Solve the proportion 3. Use tape diagrams to solve ratio word problems Also consider: • Write an equivalent ratio

Lesson 1.4: A Trip to the Moon		1. Ratio tables
Lesson 1.4: A Trip to the Moon
1. Ratio tables

Lesson 1.5: They're Growing!		1. Ratios: complete a table and make a graph
Lesson 1.5: They're Growing!
1. Ratios: complete a table and make a graph

Lesson 1.6: One is Not Enough		1. Additive and multiplicative relationships 2. Compare ratios: word problems 3. Find an equivalent ratio: word problems Also consider: • Interpret graphs of proportional relationships
Lesson 1.6: One is Not Enough
1. Additive and multiplicative relationships 2. Compare ratios: word problems 3. Find an equivalent ratio: word problems Also consider: • Interpret graphs of proportional relationships
Topic 2 - Percents
Lesson 2.1: We Are Family!		1. Convert between percents, fractions, and decimals 2. Convert between percents, fractions, and decimals: word problems Also consider: • Convert fractions to percents using grid models • Find what percent one number is of another • Find what percent one number is of another: word problems
Lesson 2.1: We Are Family!
1. Convert between percents, fractions, and decimals 2. Convert between percents, fractions, and decimals: word problems Also consider: • Convert fractions to percents using grid models • Find what percent one number is of another • Find what percent one number is of another: word problems

Lesson 2.2: Warming the Bench		1. Compare percents to fractions and decimals 2. Percents of numbers and money amounts Also consider: • Benchmark percents with strip models: multiples of 10, 20, 25, 33, and 50 • Estimate percents of numbers • Compare percents and fractions: word problems
Lesson 2.2: Warming the Bench
1. Compare percents to fractions and decimals 2. Percents of numbers and money amounts Also consider: • Benchmark percents with strip models: multiples of 10, 20, 25, 33, and 50 • Estimate percents of numbers • Compare percents and fractions: word problems

Lesson 2.3: The Forest for the Trees		1. Percents of numbers: word problems 2. Solve percent problems using strip models 3. Find the total given a part and a percent 4. Tips and sale prices Also consider: • Solve percent problems using grid models • Solve percent problems • Solve percent word problems
Lesson 2.3: The Forest for the Trees
1. Percents of numbers: word problems 2. Solve percent problems using strip models 3. Find the total given a part and a percent 4. Tips and sale prices Also consider: • Solve percent problems using grid models • Solve percent problems • Solve percent word problems
Topic 3 - Unit Rates and Conversions
Lesson 3.1: Many Ways to Measure		1. Convert and compare customary units 2. Convert and compare metric units 3. Convert between customary and metric systems Also consider: • Customary unit conversions involving fractions and mixed numbers • Convert customary and metric units using proportions • Multi-step problems with customary or metric unit conversions
Lesson 3.1: Many Ways to Measure
1. Convert and compare customary units 2. Convert and compare metric units 3. Convert between customary and metric systems Also consider: • Customary unit conversions involving fractions and mixed numbers • Convert customary and metric units using proportions • Multi-step problems with customary or metric unit conversions

Lesson 3.2: What Is the Best Buy		1. Unit prices 2. Unit rates 3. Compare rates: word problems Also consider: • Which is the better coupon? • Unit prices with fractions and decimals
Lesson 3.2: What Is the Best Buy
1. Unit prices 2. Unit rates 3. Compare rates: word problems Also consider: • Which is the better coupon? • Unit prices with fractions and decimals

Lesson 3.3: Seeing Things Differently		1. Rates: complete a table and make a graph Also consider: • Rates: word problems
Lesson 3.3: Seeing Things Differently
1. Rates: complete a table and make a graph Also consider: • Rates: word problems

3	Module 3 Determining Unknown Quantities
Topic 1 - Expressions
Lesson 1.1: Relationships Matter		1. Write multiplication expressions using exponents 2. Evaluate powers: squares and cubes 3. Evaluate numerical expressions with exponents Also consider: • Find the missing exponent or base • Square numbers • Evaluate numerical expressions one step at a time • Identify mistakes involving the order of operations
Lesson 1.1: Relationships Matter
1. Write multiplication expressions using exponents 2. Evaluate powers: squares and cubes 3. Evaluate numerical expressions with exponents Also consider: • Find the missing exponent or base • Square numbers • Evaluate numerical expressions one step at a time • Identify mistakes involving the order of operations

Lesson 1.2: Into the Unknown		1. Write variable expressions 2. Write variable expressions: word problems 3. Evaluate variable expressions Also consider: • Identify terms and coefficients
Lesson 1.2: Into the Unknown
1. Write variable expressions 2. Write variable expressions: word problems 3. Evaluate variable expressions Also consider: • Identify terms and coefficients

Lesson 1.3: Second Verse, Same as the First		1. Simplify expressions by combining like terms: with algebra tiles 2. Combine like terms 3. Use the distributive property and combine like terms 4. Factor variable expressions using the distributive property Also consider: • Multiply using the distributive property: area models • Factor variable expressions: area models
Lesson 1.3: Second Verse, Same as the First
1. Simplify expressions by combining like terms: with algebra tiles 2. Combine like terms 3. Use the distributive property and combine like terms 4. Factor variable expressions using the distributive property Also consider: • Multiply using the distributive property: area models • Factor variable expressions: area models

Lesson 1.4: Are They Saying the Same Thing?		1. Identify equivalent expressions 2. Write equivalent expressions using properties Also consider: • Identify equivalent expressions using strip models
Lesson 1.4: Are They Saying the Same Thing?
1. Identify equivalent expressions 2. Write equivalent expressions using properties Also consider: • Identify equivalent expressions using strip models
Topic 2 - Equations
Lesson 2.1: First Among Equals		1. Properties of equality 2. Does x satisfy an equation? 3. Which x satisfies an equation?
Lesson 2.1: First Among Equals
1. Properties of equality 2. Does x satisfy an equation? 3. Which x satisfies an equation?

Lesson 2.2: Double Talk		1. Solve one-step addition equations Also consider: • Model and solve addition equations using algebra tiles
Lesson 2.2: Double Talk
1. Solve one-step addition equations Also consider: • Model and solve addition equations using algebra tiles

Lesson 2.3: Play It In Reverse		1. Solve one-step multiplication equations Also consider: • Model and solve multiplication equations using algebra tiles
Lesson 2.3: Play It In Reverse
1. Solve one-step multiplication equations Also consider: • Model and solve multiplication equations using algebra tiles

Lesson 2.4: One, None, or a Ton		1. Graph inequalities on number lines 2. Write inequalities from number lines Also consider: • Solutions to inequalities
Lesson 2.4: One, None, or a Ton
1. Graph inequalities on number lines 2. Write inequalities from number lines Also consider: • Solutions to inequalities

Lesson 2.5: Getting Real		1. One step addition and multiplication equations: word problems Also consider: • Which word problem matches the one-step equation? • Multi-step word problems: multiplicative comparison • Solve one-step equations: word problems
Lesson 2.5: Getting Real
1. One step addition and multiplication equations: word problems Also consider: • Which word problem matches the one-step equation? • Multi-step word problems: multiplicative comparison • Solve one-step equations: word problems
Topic 3 - Graphing Quantitative Relationships
Lesson 3.1: Every Graph Tells a Story		1. Identify graphs: word problems 2. Identify independent and dependent variables in tables and graphs 3. Identify independent and dependent variables: word problems
Lesson 3.1: Every Graph Tells a Story
1. Identify graphs: word problems 2. Identify independent and dependent variables in tables and graphs 3. Identify independent and dependent variables: word problems

Lesson 3.2: The Power of the Intersection		1. Identify proportional relationships from graphs Also consider: • Identify proportional relationships by graphing
Lesson 3.2: The Power of the Intersection
1. Identify proportional relationships from graphs Also consider: • Identify proportional relationships by graphing

Lesson 3.3: Planes, Trains, and Paychecks		1. Write a two-variable equation 2. Write an equation from a graph using a table 3. Complete a table for a two-variable relationship Also consider: • Complete a table and graph a two-variable equation
Lesson 3.3: Planes, Trains, and Paychecks
1. Write a two-variable equation 2. Write an equation from a graph using a table 3. Complete a table for a two-variable relationship Also consider: • Complete a table and graph a two-variable equation

Lesson 3.4: Triathlon Training		1. Calculate speed, distance, or time: word problems Also consider: • Constant speed: multi-step word problems
Lesson 3.4: Triathlon Training
1. Calculate speed, distance, or time: word problems Also consider: • Constant speed: multi-step word problems

4	Module 4 Moving Beyond Positive Quantities
Topic 1 - Signed Numbers
Lesson 1.1: Human Number Line		1. Rational numbers on number lines 2. Opposites of rational numbers 3. Understanding integers 4. Compare and order rational numbers Also consider: • Understanding opposite integers • Compare and order rational numbers using number lines • Compare temperatures above and below zero
Lesson 1.1: Human Number Line
1. Rational numbers on number lines 2. Opposites of rational numbers 3. Understanding integers 4. Compare and order rational numbers Also consider: • Understanding opposite integers • Compare and order rational numbers using number lines • Compare temperatures above and below zero

Lesson 1.2: Magnificent Magnitude		1. Understanding absolute value 2. Absolute value of rational numbers 3. Inequalities with absolute values Also consider: • Absolute value and integers: word problems
Lesson 1.2: Magnificent Magnitude
1. Understanding absolute value 2. Absolute value of rational numbers 3. Inequalities with absolute values Also consider: • Absolute value and integers: word problems

Lesson 1.3: What's in a Name?		1. Classify rational numbers using a diagram 2. Classify numbers
Lesson 1.3: What's in a Name?
1. Classify rational numbers using a diagram 2. Classify numbers
Topic 2 - The Four Quadrants
Lesson 2.1: Four Is Better Than One		1. Graph points on a coordinate plane 2. Reflect a point over an axis 3. Distance between two points Also consider: • Quadrants • Objects on a coordinate plane
Lesson 2.1: Four Is Better Than One
1. Graph points on a coordinate plane 2. Reflect a point over an axis 3. Distance between two points Also consider: • Quadrants • Objects on a coordinate plane

Lesson 2.2: Playing with Planes		1. Area and perimeter of squares, rectangles, and triangles on the coordinate plane 2. Graph quadrilaterals on the coordinate plane
Lesson 2.2: Playing with Planes
1. Area and perimeter of squares, rectangles, and triangles on the coordinate plane 2. Graph quadrilaterals on the coordinate plane

Lesson 2.3: There Are Many Paths...		1. Interpret a graph: word problems 2. Identify the graph of an equation
Lesson 2.3: There Are Many Paths...
1. Interpret a graph: word problems 2. Identify the graph of an equation

5	Module 5 Describing Variability of Quantities
Topic 1 - The Statistical Process
Lesson 1.1: What's Your Question?		1. Identify statistical questions 2. Interpret bar graphs 3. Interpret frequency tables Also consider: • Identify representative, random, and biased samples • Create bar graphs • Interpret circle graphs • Create frequency tables
Lesson 1.1: What's Your Question?
1. Identify statistical questions 2. Interpret bar graphs 3. Interpret frequency tables Also consider: • Identify representative, random, and biased samples • Create bar graphs • Interpret circle graphs • Create frequency tables

Lesson 1.2: Get in Shape		1. Interpret and create line plots 2. Describe shapes of distributions in line plots 3. Interpret and create stem-and-leaf plots
Lesson 1.2: Get in Shape
1. Interpret and create line plots 2. Describe shapes of distributions in line plots 3. Interpret and create stem-and-leaf plots

Lesson 1.3: Skyscrapers		1. Interpret histograms 2. Create histograms
Lesson 1.3: Skyscrapers
1. Interpret histograms 2. Create histograms
Topic 2 - Numeric Summaries of Data
Lesson 2.1: In the Middle		1. Calculate mean, median, and mode Also consider: • Mean and median: find the missing number • Changes in mean, median, and mode
Lesson 2.1: In the Middle
1. Calculate mean, median, and mode Also consider: • Mean and median: find the missing number • Changes in mean, median, and mode

Lesson 2.2: Box It Up		1. Calculate range, quartiles, and interquartile range 2. Box plots
Lesson 2.2: Box It Up
1. Calculate range, quartiles, and interquartile range 2. Box plots

Lesson 2.3: March MADness		1. Calculate mean absolute deviation
Lesson 2.3: March MADness
1. Calculate mean absolute deviation

Lesson 2.4: You Chose...Wisely		1. Choose appropriate measures of center and variation Also consider: • Interpret measures of center and variability
Lesson 2.4: You Chose...Wisely
1. Choose appropriate measures of center and variation Also consider: • Interpret measures of center and variability

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.