IXL skill plan | Level 2 plan for Eureka Math2

Skill plan for Eureka Math² - Level 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 Place Value Concepts Through Metric Measurement and Data - Place Value, Counting, and Comparing Within 1,000
Topic A - Representing Data to Solve Problems
Lesson 1: Draw and label a picture graph to represent data.		1. Create picture graphs 2. Interpret picture graphs Also consider: • Record data in tables • Interpret data in tables
Lesson 1: Draw and label a picture graph to represent data.
1. Create picture graphs 2. Interpret picture graphs Also consider: • Record data in tables • Interpret data in tables

Lesson 2: Draw and label a bar graph to represent data.		1. Create bar graphs Also consider: • Which bar graph is correct?
Lesson 2: Draw and label a bar graph to represent data.
1. Create bar graphs Also consider: • Which bar graph is correct?

Lesson 3: Use information presented in a bar graph to solve put together and take apart problems.		1. Interpret bar graphs I
Lesson 3: Use information presented in a bar graph to solve put together and take apart problems.
1. Interpret bar graphs I

Lesson 4: Use information presented in a bar graph to solve compare problems.		1. Interpret bar graphs II
Lesson 4: Use information presented in a bar graph to solve compare problems.
1. Interpret bar graphs II
Topic B - Metric Measurement and Concepts about the Ruler
Lesson 5: Connect measurement to physical units by iterating a centimeter cube.		1. Count cubes to measure length 2. Measure length with cubes
Lesson 5: Connect measurement to physical units by iterating a centimeter cube.
1. Count cubes to measure length 2. Measure length with cubes

Lesson 6: Make a 10 cm ruler and measure objects.		1. Measure using a centimeter ruler - up to 10 centimeters
Lesson 6: Make a 10 cm ruler and measure objects.
1. Measure using a centimeter ruler - up to 10 centimeters

Lesson 7: Measure lengths and relate 10 cm and 1 cm.		1. Measure using a centimeter ruler
Lesson 7: Measure lengths and relate 10 cm and 1 cm.
1. Measure using a centimeter ruler

Lesson 8: Make a meter stick and measure with various tools.		1. Which metric unit of length is appropriate?
Lesson 8: Make a meter stick and measure with various tools.
1. Which metric unit of length is appropriate?

Lesson 9: Relate 1 cm, 10 cm, and 100 cm.		1. Convert metric mixed units of length: centimeters and meters Also consider: • Convert between centimeters and meters
Lesson 9: Relate 1 cm, 10 cm, and 100 cm.
1. Convert metric mixed units of length: centimeters and meters Also consider: • Convert between centimeters and meters

Lesson 10: Reason about the relationship between the size of the unit and the number of units needed to measure.
Lesson 10: Reason about the relationship between the size of the unit and the number of units needed to measure.

Topic C - Estimate, Measure, and Compare Lengths
Lesson 11: Estimate and compare lengths. Lesson 12: Model and reason about the difference in length.		1. Measure length with objects 2. Measure to compare length in centimeters
Lesson 11: Estimate and compare lengths. Lesson 12: Model and reason about the difference in length.
1. Measure length with objects 2. Measure to compare length in centimeters

Lesson 13: Estimate and measure height to model metric relationships. Lesson 14: Represent and compare students' heights.		1. Comparison word problems up to 20: how many more or fewer? 2. Complete the addition sentence - sums to 20
Lesson 13: Estimate and measure height to model metric relationships. Lesson 14: Represent and compare students' heights.
1. Comparison word problems up to 20: how many more or fewer? 2. Complete the addition sentence - sums to 20
Topic D - Solve Compare Problems by Using the Ruler as a Number Line
Lesson 15: Use a measuring tape as a number line to add efficiently.		1. Break apart a one-digit number to add Also consider: • Make ten to add • Addition sentences using number lines - sums to 20
Lesson 15: Use a measuring tape as a number line to add efficiently.
1. Break apart a one-digit number to add Also consider: • Make ten to add • Addition sentences using number lines - sums to 20

Lesson 16: Use a measuring tape as a number line to subtract efficiently.		1. Break apart a one-digit number to subtract Also consider: • Use ten to subtract • Subtraction sentences using number lines - up to 20
Lesson 16: Use a measuring tape as a number line to subtract efficiently.
1. Break apart a one-digit number to subtract Also consider: • Use ten to subtract • Subtraction sentences using number lines - up to 20

Lesson 17: Represent and solve comparison problems by using measurement contexts. Lesson 18: Solve compare with difference unknown word problems by using measurement contexts. Lesson 19: Solve compare with difference unknown word problems in various contexts.		1. Compare lengths: customary units 2. Compare lengths: metric units 3. Complete the addition sentence - up to two digits Also consider: • Subtract by counting on - up to 20 • Subtract by counting back - up to 20 • Comparing numbers up to 100: word problems
Lesson 17: Represent and solve comparison problems by using measurement contexts. Lesson 18: Solve compare with difference unknown word problems by using measurement contexts. Lesson 19: Solve compare with difference unknown word problems in various contexts.
1. Compare lengths: customary units 2. Compare lengths: metric units 3. Complete the addition sentence - up to two digits Also consider: • Subtract by counting on - up to 20 • Subtract by counting back - up to 20 • Comparing numbers up to 100: word problems
Topic E - Understand Place Value Units
Lesson 20: Count and bundle ones, tens, and hundreds to 1,000.		1. Convert between place values - ones, tens, and hundreds
Lesson 20: Count and bundle ones, tens, and hundreds to 1,000.
1. Convert between place values - ones, tens, and hundreds

Lesson 21: Count efficiently within 1,000 by using ones, tens, and hundreds.		1. Count by ones, tens, and hundreds Also consider: • Count by ones and tens
Lesson 21: Count efficiently within 1,000 by using ones, tens, and hundreds.
1. Count by ones, tens, and hundreds Also consider: • Count by ones and tens

Lesson 22: Use counting strategies to solve add to with change unknown word problems.		1. Count backward by ones, tens, and hundreds 2. Complete the addition sentence with change unknown - up to 100
Lesson 22: Use counting strategies to solve add to with change unknown word problems.
1. Count backward by ones, tens, and hundreds 2. Complete the addition sentence with change unknown - up to 100

Lesson 23: Organize, count, and represent a collection of objects.		1. Skip-count by twos, fives, and tens - up to 120
Lesson 23: Organize, count, and represent a collection of objects.
1. Skip-count by twos, fives, and tens - up to 120
Topic F - Express Three-Digit Numbers in Different Forms
Lesson 24: Count up to 1,000 by using place value units.		1. Place value models up to 120 2. Place value models - up to hundreds Also consider: • Place value models - tens and ones
Lesson 24: Count up to 1,000 by using place value units.
1. Place value models up to 120 2. Place value models - up to hundreds Also consider: • Place value models - tens and ones

Lesson 25: Write three-digit numbers in unit form and show the value that each digit represents.		1. Value of a digit - up to hundreds 2. Convert to/from a number - up to hundreds: digits only Also consider: • Identify a digit up to the hundreds place
Lesson 25: Write three-digit numbers in unit form and show the value that each digit represents.
1. Value of a digit - up to hundreds 2. Convert to/from a number - up to hundreds: digits only Also consider: • Identify a digit up to the hundreds place

Lesson 26: Write base-ten numbers in expanded form.		1. Expanded form - add 100s, 10s, and 1s in any order Also consider: • Convert from expanded form - up to hundreds
Lesson 26: Write base-ten numbers in expanded form.
1. Expanded form - add 100s, 10s, and 1s in any order Also consider: • Convert from expanded form - up to hundreds

Lesson 27: Read, write, and relate base-ten numbers in all forms.		1. Convert to/from a number - up to hundreds 2. Spell word names for numbers up to 20
Lesson 27: Read, write, and relate base-ten numbers in all forms.
1. Convert to/from a number - up to hundreds 2. Spell word names for numbers up to 20
Topic G - Model Base-Ten Numbers Within 1,000 with Money
Lesson 28: Use place value understanding to count and exchange $1, $10, and $100 bills. Lesson 29: Count by $1, $10, and $100.		1. Skip-counting sequences: ones, tens, and hundreds
Lesson 28: Use place value understanding to count and exchange $1, $10, and $100 bills. Lesson 29: Count by $1, $10, and $100.
1. Skip-counting sequences: ones, tens, and hundreds

Lesson 30: Determine how many $10 bills are equal to $1,000.		1. Convert between place values - up to thousands
Lesson 30: Determine how many $10 bills are equal to $1,000.
1. Convert between place values - up to thousands
Topic H - Compose and Decompose with Place Value Disks
Lesson 31: Count the total value of ones, tens, and hundreds with place value disks.		1. Write three-digit numbers using place value
Lesson 31: Count the total value of ones, tens, and hundreds with place value disks.
1. Write three-digit numbers using place value

Lesson 32: Exchange 10 ones for 1 ten, 10 tens for 1 hundred, and 10 hundreds for 1 thousand. Lesson 33: Model numbers with more than 9 ones or 9 tens. Lesson 34: Problem solve in situations with more than 9 ones or 9 tens.		1. Regroup hundreds, tens, and ones - ways to make a number 2. Regroup tens and ones 3. Regroup tens and ones - ways to make a number
Lesson 32: Exchange 10 ones for 1 ten, 10 tens for 1 hundred, and 10 hundreds for 1 thousand. Lesson 33: Model numbers with more than 9 ones or 9 tens. Lesson 34: Problem solve in situations with more than 9 ones or 9 tens.
1. Regroup hundreds, tens, and ones - ways to make a number 2. Regroup tens and ones 3. Regroup tens and ones - ways to make a number
Topic I - Compare Two Three-Digit Numbers in Different Ways
Lesson 35: Compare three-digit numbers by using >, =, and <.		1. Comparing numbers up to 1,000 using words 2. Comparing numbers up to 1,000 using symbols
Lesson 35: Compare three-digit numbers by using >, =, and <.
1. Comparing numbers up to 1,000 using words 2. Comparing numbers up to 1,000 using symbols

Lesson 36: Apply place value understanding to compare by using >, =, and <.		1. Make the largest or smallest number possible 2. Comparing numbers up to 1,000 Also consider: • Guess the number
Lesson 36: Apply place value understanding to compare by using >, =, and <.
1. Make the largest or smallest number possible 2. Comparing numbers up to 1,000 Also consider: • Guess the number

Lesson 37: Organize, count, represent, and compare a collection of objects.		1. Count objects to 120
Lesson 37: Organize, count, represent, and compare a collection of objects.
1. Count objects to 120

Lesson 38: Compare numbers in different forms. (Optional)		1. Put numbers up to 1,000 in order
Lesson 38: Compare numbers in different forms. (Optional)
1. Put numbers up to 1,000 in order

2	Module 2 Addition and Subtraction Within 200
Topic A - Simplifying Strategies for Addition
Lesson 1: Reason about addition with four addends.		1. Add four numbers up to two digits each 2. Addition word problems - four numbers up to two digits each Also consider: • Add four or more one-digit numbers • Addition word problems - four or more one-digit numbers
Lesson 1: Reason about addition with four addends.
1. Add four numbers up to two digits each 2. Addition word problems - four numbers up to two digits each Also consider: • Add four or more one-digit numbers • Addition word problems - four or more one-digit numbers

Lesson 2: Break apart and add like units.		1. Use models to add two-digit numbers - without regrouping 2. Use place value to add two-digit numbers - without regrouping 3. Add two-digit numbers without regrouping - sums to 100 4. Add a three-digit number and a two-digit number - without regrouping
Lesson 2: Break apart and add like units.
1. Use models to add two-digit numbers - without regrouping 2. Use place value to add two-digit numbers - without regrouping 3. Add two-digit numbers without regrouping - sums to 100 4. Add a three-digit number and a two-digit number - without regrouping

Lesson 3: Use compensation to add within 100.		1. Use compensation to add on a number line - up to two digits 2. Use compensation to add - up to two digits
Lesson 3: Use compensation to add within 100.
1. Use compensation to add on a number line - up to two digits 2. Use compensation to add - up to two digits

Lesson 4: Use compensation to add within 200.		1. Use compensation to add - sums up to 200
Lesson 4: Use compensation to add within 200.
1. Use compensation to add - sums up to 200

Lesson 5: Make a ten to add within 100.		1. Break apart a two-digit number to add - sums to 100 2. Add a two-digit and a one-digit number - with regrouping Also consider: • Use models to add a two-digit and a one-digit number - with regrouping
Lesson 5: Make a ten to add within 100.
1. Break apart a two-digit number to add - sums to 100 2. Add a two-digit and a one-digit number - with regrouping Also consider: • Use models to add a two-digit and a one-digit number - with regrouping

Lesson 6: Make a ten to add within 200.		1. Add a three-digit number and a two-digit number with regrouping - sums to 200
Lesson 6: Make a ten to add within 200.
1. Add a three-digit number and a two-digit number with regrouping - sums to 200

Lesson 7: Solve word problems by using simplifying strategies for addition.		1. Addition word problems - up to two digits
Lesson 7: Solve word problems by using simplifying strategies for addition.
1. Addition word problems - up to two digits
Topic B - Strategies for Composing a Ten and a Hundred to Add
Lesson 8: Use concrete models to compose a ten.		1. Complete the addition sentence - make ten 2. Use models to add two-digit numbers - with regrouping
Lesson 8: Use concrete models to compose a ten.
1. Complete the addition sentence - make ten 2. Use models to add two-digit numbers - with regrouping

Lesson 9: Use place value drawings to compose a ten and relate to written recordings.		1. Use place value to add two-digit numbers - with regrouping 2. Add two-digit numbers with regrouping - sums to 100 3. Use models to add three-digit numbers - regroup ones
Lesson 9: Use place value drawings to compose a ten and relate to written recordings.
1. Use place value to add two-digit numbers - with regrouping 2. Add two-digit numbers with regrouping - sums to 100 3. Use models to add three-digit numbers - regroup ones

Lesson 10: Use concrete models to compose a hundred.		1. Add two multiples of ten - with regrouping
Lesson 10: Use concrete models to compose a hundred.
1. Add two multiples of ten - with regrouping

Lesson 11: Use math drawings to compose a hundred and relate to written recordings.		1. Use models to add three-digit numbers - regroup tens Also consider: • Use models to add three-digit numbers - regroup tens or ones
Lesson 11: Use math drawings to compose a hundred and relate to written recordings.
1. Use models to add three-digit numbers - regroup tens Also consider: • Use models to add three-digit numbers - regroup tens or ones

Lesson 12: Use place value drawings to compose a ten and a hundred with two- and three-digit addends. Relate to written recordings.		1. Use models to add three-digit numbers - regroup tens and ones 2. Add two-digit numbers - sums to 200
Lesson 12: Use place value drawings to compose a ten and a hundred with two- and three-digit addends. Relate to written recordings.
1. Use models to add three-digit numbers - regroup tens and ones 2. Add two-digit numbers - sums to 200
Topic C - Simplifying Strategies for Subtraction
Lesson 13: Represent and solve take from word problems.		1. "Take from" word problems with change unknown - up to 20 2. Complete the subtraction sentence with change unknown - up to 100
Lesson 13: Represent and solve take from word problems.
1. "Take from" word problems with change unknown - up to 20 2. Complete the subtraction sentence with change unknown - up to 100

Lesson 14: Use addition and subtraction strategies to find an unknown part.		1. Relate addition and subtraction sentences - up to three digits
Lesson 14: Use addition and subtraction strategies to find an unknown part.
1. Relate addition and subtraction sentences - up to three digits

Lesson 15: Use compensation to subtract within 100.		1. Use compensation to subtract on a number line - up to two digits 2. Use compensation to subtract - up to two digits
Lesson 15: Use compensation to subtract within 100.
1. Use compensation to subtract on a number line - up to two digits 2. Use compensation to subtract - up to two digits

Lesson 16: Use compensation to subtract within 200.		1. Use compensation to subtract - up to 200
Lesson 16: Use compensation to subtract within 200.
1. Use compensation to subtract - up to 200

Lesson 17: Take from a ten to subtract within 200.		1. Break apart a two-digit number to subtract
Lesson 17: Take from a ten to subtract within 200.
1. Break apart a two-digit number to subtract

Lesson 18: Take from a hundred to subtract within 200.
Lesson 18: Take from a hundred to subtract within 200.


Lesson 19: Solve word problems with simplifying strategies for subtraction.		1. Subtraction word problems - two-digit numbers
Lesson 19: Solve word problems with simplifying strategies for subtraction.
1. Subtraction word problems - two-digit numbers
Topic D - Strategies for Decomposing a Ten and a Hundred to Subtract
Lesson 20: Reason about when to unbundle a ten to subtract. Lesson 21: Use concrete models to decompose a ten with two-digit totals.		1. Use models to subtract a one-digit number from a two-digit number - with regrouping 2. Subtract a one-digit number from a two-digit number - with regrouping
Lesson 20: Reason about when to unbundle a ten to subtract. Lesson 21: Use concrete models to decompose a ten with two-digit totals.
1. Use models to subtract a one-digit number from a two-digit number - with regrouping 2. Subtract a one-digit number from a two-digit number - with regrouping

Lesson 22: Use place value drawings to decompose a ten and relate them to written recordings.		1. Use models to subtract two-digit numbers - with regrouping 2. Use place value to subtract two-digit numbers - with regrouping 3. Subtract two-digit numbers - with regrouping 4. Subtract two-digit numbers from three-digit numbers - regroup tens
Lesson 22: Use place value drawings to decompose a ten and relate them to written recordings.
1. Use models to subtract two-digit numbers - with regrouping 2. Use place value to subtract two-digit numbers - with regrouping 3. Subtract two-digit numbers - with regrouping 4. Subtract two-digit numbers from three-digit numbers - regroup tens

Lesson 23: Use concrete models and drawings to decompose a hundred. Lesson 24: Use place value drawings to decompose a hundred and relate them to written recordings.		1. Use models to subtract two-digit numbers from three-digit numbers - regroup once 2. Subtract two-digit numbers from three-digit numbers - regroup hundreds Also consider: • Subtract two-digit numbers from three-digit numbers - regroup once
Lesson 23: Use concrete models and drawings to decompose a hundred. Lesson 24: Use place value drawings to decompose a hundred and relate them to written recordings.
1. Use models to subtract two-digit numbers from three-digit numbers - regroup once 2. Subtract two-digit numbers from three-digit numbers - regroup hundreds Also consider: • Subtract two-digit numbers from three-digit numbers - regroup once

Lesson 25: Use place value drawings to subtract with two compositions.		1. Subtract two-digit numbers from three-digit numbers - regroup twice
Lesson 25: Use place value drawings to subtract with two compositions.
1. Subtract two-digit numbers from three-digit numbers - regroup twice

Lesson 26: Solve add to and take from with start unknown word problems.		1. Complete the addition or subtraction sentence with start unknown - up to 100 Also consider: • Use models to solve addition and subtraction word problems - up to 100 • Addition and subtraction word problems - up to 100
Lesson 26: Solve add to and take from with start unknown word problems.
1. Complete the addition or subtraction sentence with start unknown - up to 100 Also consider: • Use models to solve addition and subtraction word problems - up to 100 • Addition and subtraction word problems - up to 100

Lesson 27: Solve two-step word problems within 100.		1. Two-step addition and subtraction word problems - up to 100
Lesson 27: Solve two-step word problems within 100.
1. Two-step addition and subtraction word problems - up to 100

3	Module 3 Shapes and Time With Fraction Concepts
Topic A - Attributes of Geometric Shapes
Lesson 1: Determine the defining attributes of a polygon.		1. Open and closed shapes 2. Count sides and vertices 3. Is it a polygon? Also consider: • Compare sides and vertices • Equal sides
Lesson 1: Determine the defining attributes of a polygon.
1. Open and closed shapes 2. Count sides and vertices 3. Is it a polygon? Also consider: • Compare sides and vertices • Equal sides

Lesson 2: Use attributes to identify, build, and describe two-dimensional shapes.		1. Classify polygons: up to 6 sides 2. Name polygons: up to 6 sides 3. Draw polygons
Lesson 2: Use attributes to identify, build, and describe two-dimensional shapes.
1. Classify polygons: up to 6 sides 2. Name polygons: up to 6 sides 3. Draw polygons

Lesson 3: Identify, build, and describe right angles and parallel lines.		1. Angles greater than, less than, or equal to a right angle 2. Count parallel sides Also consider: • Parallel lines
Lesson 3: Identify, build, and describe right angles and parallel lines.
1. Angles greater than, less than, or equal to a right angle 2. Count parallel sides Also consider: • Parallel lines

Lesson 4: Use attributes to identify, classify, and compose different quadrilaterals.		1. Classify quadrilaterals
Lesson 4: Use attributes to identify, classify, and compose different quadrilaterals.
1. Classify quadrilaterals

Lesson 5: Relate the square to the cube and use attributes to describe a cube.		1. Cubes 2. Identify faces of three-dimensional shapes Also consider: • Two-dimensional and three-dimensional shapes • Count vertices, edges, and faces - cubes and rectangular prisms
Lesson 5: Relate the square to the cube and use attributes to describe a cube.
1. Cubes 2. Identify faces of three-dimensional shapes Also consider: • Two-dimensional and three-dimensional shapes • Count vertices, edges, and faces - cubes and rectangular prisms
Topic B - Composite Shapes and Fraction Concepts
Lesson 6: Recognize that a whole polygon can be decomposed into smaller parts and the parts can be composed to make a whole.
Lesson 6: Recognize that a whole polygon can be decomposed into smaller parts and the parts can be composed to make a whole.


Lesson 7: Combine shapes to create a composite shape and create a new shape from composite shapes.		1. Compose two-dimensional shapes
Lesson 7: Combine shapes to create a composite shape and create a new shape from composite shapes.
1. Compose two-dimensional shapes

Lesson 8: Create composite shapes by using equal parts and name them as halves, thirds, and fourths.		1. Equal parts
Lesson 8: Create composite shapes by using equal parts and name them as halves, thirds, and fourths.
1. Equal parts

Lesson 9: Interpret equal shares in composite shapes as halves, thirds, and fourths.		1. Identify halves 2. Identify thirds 3. Identify fourths
Lesson 9: Interpret equal shares in composite shapes as halves, thirds, and fourths.
1. Identify halves 2. Identify thirds 3. Identify fourths
Topic C - Halves, Thirds, and Fourths of Circles and Rectangles
Lesson 10: Partition circles and rectangles into equal parts and describe those parts as halves.		1. Make halves
Lesson 10: Partition circles and rectangles into equal parts and describe those parts as halves.
1. Make halves

Lesson 11: Partition circles and rectangles into equal parts, and describe those parts as halves, thirds, or fourths.		1. Make halves, thirds, and fourths Also consider: • Make thirds • Make fourths
Lesson 11: Partition circles and rectangles into equal parts, and describe those parts as halves, thirds, or fourths.
1. Make halves, thirds, and fourths Also consider: • Make thirds • Make fourths

Lesson 12: Describe a whole by the number of equal parts in halves, thirds, and fourths.		1. Identify halves, thirds, and fourths
Lesson 12: Describe a whole by the number of equal parts in halves, thirds, and fourths.
1. Identify halves, thirds, and fourths

Lesson 13: Recognize that equal parts of an identical rectangle can be different shapes.		1. Make halves, thirds, and fourths in different ways
Lesson 13: Recognize that equal parts of an identical rectangle can be different shapes.
1. Make halves, thirds, and fourths in different ways
Topic D - Application of Fractions to Tell Time
Lesson 14: Distinguish between a.m. and p.m.		1. A.M. or P.M.
Lesson 14: Distinguish between a.m. and p.m.
1. A.M. or P.M.

Lesson 15: Recognize time as measurement units.		1. Relate time units
Lesson 15: Recognize time as measurement units.
1. Relate time units

Lesson 16: Use a clock to tell time to the half hour or quarter hour.		1. Time words: o'clock, half, quarter 2. Match analog clocks and times to 15 minutes 3. Read clocks and write times to 15 minutes
Lesson 16: Use a clock to tell time to the half hour or quarter hour.
1. Time words: o'clock, half, quarter 2. Match analog clocks and times to 15 minutes 3. Read clocks and write times to 15 minutes

Lesson 17: Relate the clock to a number line to count by fives.		1. Skip-count by fives
Lesson 17: Relate the clock to a number line to count by fives.
1. Skip-count by fives

Lesson 18: Tell time to the nearest 5 minutes.		1. Match analog clocks and times 2. Read clocks and write times Also consider: • Match analog and digital clocks
Lesson 18: Tell time to the nearest 5 minutes.
1. Match analog clocks and times 2. Read clocks and write times Also consider: • Match analog and digital clocks

Lesson 19: Solve elapsed time problems. (Optional)		1. Elapsed time
Lesson 19: Solve elapsed time problems. (Optional)
1. Elapsed time

4	Module 4 Addition and Subtraction Within 1,000
Topic A - Mental Place Value Strategies
Lesson 1: Organize, count, and represent a collection of objects.		1. Count forward by tens - up to 1,000 2. Count by tens and hundreds 3. Count backward by tens and hundreds Also consider: • Count forward and backward by tens
Lesson 1: Organize, count, and represent a collection of objects.
1. Count forward by tens - up to 1,000 2. Count by tens and hundreds 3. Count backward by tens and hundreds Also consider: • Count forward and backward by tens

Lesson 2: Mentally add and subtract multiples of 10 and 100 with unknowns in various positions.		1. Add a multiple of 10 or 100 to a three-digit number 2. Subtract a multiple of 10 or 100 from a three-digit number Also consider: • Addition patterns over increasing place values • Subtraction patterns over increasing place values • Add a multiple of ten and a two-digit number • Subtract a multiple of ten from a two-digit number
Lesson 2: Mentally add and subtract multiples of 10 and 100 with unknowns in various positions.
1. Add a multiple of 10 or 100 to a three-digit number 2. Subtract a multiple of 10 or 100 from a three-digit number Also consider: • Addition patterns over increasing place values • Subtraction patterns over increasing place values • Add a multiple of ten and a two-digit number • Subtract a multiple of ten from a two-digit number

Lesson 3: Solve multi-step word problems and reason about equal expressions.		1. Add or subtract a multiple of 10 or 100
Lesson 3: Solve multi-step word problems and reason about equal expressions.
1. Add or subtract a multiple of 10 or 100

Lesson 4: Represent and solve compare with bigger unknown word problems.		1. Comparison word problems up to 20: what is the larger amount?
Lesson 4: Represent and solve compare with bigger unknown word problems.
1. Comparison word problems up to 20: what is the larger amount?
Topic B - Strategies for Composing Tens and Hundreds Within 1,000
Lesson 5: Use the associative property to make a benchmark number to add within 1,000.		1. Addition with three-digit numbers - with regrouping
Lesson 5: Use the associative property to make a benchmark number to add within 1,000.
1. Addition with three-digit numbers - with regrouping

Lesson 6: Use compensation to add within 1,000.		1. Use compensation to add three-digit numbers
Lesson 6: Use compensation to add within 1,000.
1. Use compensation to add three-digit numbers

Lesson 7: Use concrete models to add and relate them to written recordings.		1. Use models to add three-digit numbers - with regrouping Also consider: • Use models to add three-digit numbers - without regrouping
Lesson 7: Use concrete models to add and relate them to written recordings.
1. Use models to add three-digit numbers - with regrouping Also consider: • Use models to add three-digit numbers - without regrouping

Lesson 8: Use place value drawings to represent addition and relate them to written recordings, part 1. Lesson 9: Use place value drawings to represent addition and relate them to written recordings, part 2.		1. Add three-digit numbers - with regrouping Also consider: • Addition with three-digit numbers - without regrouping
Lesson 8: Use place value drawings to represent addition and relate them to written recordings, part 1. Lesson 9: Use place value drawings to represent addition and relate them to written recordings, part 2.
1. Add three-digit numbers - with regrouping Also consider: • Addition with three-digit numbers - without regrouping

Lesson 10: Choose and defend efficient solution strategies for addition.		1. Addition with three-digit numbers 2. Add three-digit numbers vertically Also consider: • Use expanded form to add three-digit numbers
Lesson 10: Choose and defend efficient solution strategies for addition.
1. Addition with three-digit numbers 2. Add three-digit numbers vertically Also consider: • Use expanded form to add three-digit numbers

Lesson 11: Choose and defend efficient strategies to add up to four two-digit numbers.		1. Add three numbers up to two digits each Also consider: • Addition word problems - three numbers up to two digits each
Lesson 11: Choose and defend efficient strategies to add up to four two-digit numbers.
1. Add three numbers up to two digits each Also consider: • Addition word problems - three numbers up to two digits each
Topic C - Simplifying Strategies for Subtracting Within 1,000
Lesson 12: Take from a ten or a hundred to subtract.		1. Subtract three-digit numbers - with regrouping Also consider: • Subtract from three-digit numbers - without regrouping
Lesson 12: Take from a ten or a hundred to subtract.
1. Subtract three-digit numbers - with regrouping Also consider: • Subtract from three-digit numbers - without regrouping

Lesson 13: Use compensation to subtract within 1,000.		1. Use compensation to subtract - up to three digits
Lesson 13: Use compensation to subtract within 1,000.
1. Use compensation to subtract - up to three digits

Lesson 14: Use compensation to keep a constant difference by adding the same amount to both numbers. Lesson 15: Use compensation to keep a constant difference by subtracting the same amount from both numbers.
Lesson 14: Use compensation to keep a constant difference by adding the same amount to both numbers. Lesson 15: Use compensation to keep a constant difference by subtracting the same amount from both numbers.

Topic D - Strategies for Decomposing Tens and Hundreds Within 1,000
Lesson 16: Use concrete models to subtract and relate them to written recordings.		1. Use models to subtract from three-digit numbers - with regrouping
Lesson 16: Use concrete models to subtract and relate them to written recordings.
1. Use models to subtract from three-digit numbers - with regrouping

Lesson 17: Use place value drawings to represent subtraction with one decomposition and relate them to written recordings.		1. Subtract three-digit numbers - regroup once
Lesson 17: Use place value drawings to represent subtraction with one decomposition and relate them to written recordings.
1. Subtract three-digit numbers - regroup once

Lesson 18: Use place value drawings to represent subtraction with up to two decompositions and relate them to written recordings.		1. Subtract three-digit numbers - regroup twice
Lesson 18: Use place value drawings to represent subtraction with up to two decompositions and relate them to written recordings.
1. Subtract three-digit numbers - regroup twice

Lesson 19: Use place value drawings to represent subtraction from numbers with 0 in the tens and/or ones place and relate to a written recording.		1. Subtract across zeros
Lesson 19: Use place value drawings to represent subtraction from numbers with 0 in the tens and/or ones place and relate to a written recording.
1. Subtract across zeros

Lesson 20: Subtract by using multiple strategies and defend an efficient strategy.		1. Subtract from three-digit numbers 2. Subtract from three-digit numbers vertically Also consider: • Subtract from three-digit numbers - with regrouping
Lesson 20: Subtract by using multiple strategies and defend an efficient strategy.
1. Subtract from three-digit numbers 2. Subtract from three-digit numbers vertically Also consider: • Subtract from three-digit numbers - with regrouping
Topic E - Apply Efficient Addition and Subtraction Strategies
Lesson 21: Apply strategies to find sums and differences and relate addition to subtraction.		1. Add and subtract numbers up to 1,000 Also consider: • Complete the addition sentence - up to three digits • Complete the subtraction sentence - up to three digits
Lesson 21: Apply strategies to find sums and differences and relate addition to subtraction.
1. Add and subtract numbers up to 1,000 Also consider: • Complete the addition sentence - up to three digits • Complete the subtraction sentence - up to three digits

Lesson 22: Solve compare with smaller unknown word problems.		1. Comparison word problems up to 20: what is the smaller amount? 2. Comparison word problems up to 1,000 Also consider: • Comparison word problems - up to 20
Lesson 22: Solve compare with smaller unknown word problems.
1. Comparison word problems up to 20: what is the smaller amount? 2. Comparison word problems up to 1,000 Also consider: • Comparison word problems - up to 20

Lesson 23: Solve two-step addition and subtraction word problems.		1. Two-step addition and subtraction word problems Also consider: • Addition and subtraction word problems - up to 1,000
Lesson 23: Solve two-step addition and subtraction word problems.
1. Two-step addition and subtraction word problems Also consider: • Addition and subtraction word problems - up to 1,000

Lesson 24: Organize, count, and represent a collection of objects.		1. Estimate to the nearest ten
Lesson 24: Organize, count, and represent a collection of objects.
1. Estimate to the nearest ten

5	Module 5 Money, Data, and Customary Measurement
Topic A - Problem Solving with Coins and Bills
Lesson 1: Organize, count, and represent a collection of coins.		1. Count money up to $1 Also consider: • Names and values of common coins • Count money - pennies, nickels, and dimes only
Lesson 1: Organize, count, and represent a collection of coins.
1. Count money up to $1 Also consider: • Names and values of common coins • Count money - pennies, nickels, and dimes only

Lesson 2: Use the fewest number of coins to make a given value.		1. Equivalent amounts of money up to $1 2. Exchanging money II 3. Least number of coins Also consider: • Exchanging money - with pictures • Exchanging money
Lesson 2: Use the fewest number of coins to make a given value.
1. Equivalent amounts of money up to $1 2. Exchanging money II 3. Least number of coins Also consider: • Exchanging money - with pictures • Exchanging money

Lesson 3: Solve one- and two-step word problems to find the total value of a group of coins.		1. Add and subtract money up to $1: word problems Also consider: • Do you have enough money? - up to $1 • Add money up to $1: word problems • Subtract money up to $1: word problems
Lesson 3: Solve one- and two-step word problems to find the total value of a group of coins.
1. Add and subtract money up to $1: word problems Also consider: • Do you have enough money? - up to $1 • Add money up to $1: word problems • Subtract money up to $1: word problems

Lesson 4: Solve one- and two-step word problems to find the total value of a group of bills.		1. Count bills: word problems Also consider: • Count money up to $100 - bills
Lesson 4: Solve one- and two-step word problems to find the total value of a group of bills.
1. Count bills: word problems Also consider: • Count money up to $100 - bills

Lesson 5: Use different strategies to make 1 dollar or to make change from 1 dollar. Lesson 6: Solve word problems by using different ways to make change from 1 dollar.		1. How much more to make a dollar? Also consider: • Complete the addition sentence - make 100
Lesson 5: Use different strategies to make 1 dollar or to make change from 1 dollar. Lesson 6: Solve word problems by using different ways to make change from 1 dollar.
1. How much more to make a dollar? Also consider: • Complete the addition sentence - make 100

Lesson 7: Solve word problems by using bills and coins. (Optional)		1. Count money - up to $20
Lesson 7: Solve word problems by using bills and coins. (Optional)
1. Count money - up to $20
Topic B - Use Customary Units to Measure and Estimate Length
Lesson 8: Iterate an inch tile to create a unit ruler and measure to the nearest inch.		1. Measure using an inch ruler
Lesson 8: Iterate an inch tile to create a unit ruler and measure to the nearest inch.
1. Measure using an inch ruler

Lesson 9: Use an inch ruler and a yard stick to estimate and measure the length of various objects.		1. Which customary unit of length is appropriate: inches, feet, or yards?
Lesson 9: Use an inch ruler and a yard stick to estimate and measure the length of various objects.
1. Which customary unit of length is appropriate: inches, feet, or yards?

Lesson 10: Measure an object twice by using different length units, and compare and relate measurement to unit size.		1. Measure with different metric units 2. Measure with different customary units: inches, feet, and yards
Lesson 10: Measure an object twice by using different length units, and compare and relate measurement to unit size.
1. Measure with different metric units 2. Measure with different customary units: inches, feet, and yards

Lesson 11: Measure to compare differences in lengths.		1. Measure to compare length in inches
Lesson 11: Measure to compare differences in lengths.
1. Measure to compare length in inches

Lesson 12: Identify unknown numbers on a number line by using the interval as a reference point.		1. Number lines up to 120: multiples of five and ten
Lesson 12: Identify unknown numbers on a number line by using the interval as a reference point.
1. Number lines up to 120: multiples of five and ten
Topic C - Use Measurement and Data to Solve Problems
Lesson 13: Solve word problems that involve measurements and reason about estimates.		1. Perimeter: word problems Also consider: • Perimeter
Lesson 13: Solve word problems that involve measurements and reason about estimates.
1. Perimeter: word problems Also consider: • Perimeter

Lesson 14: Solve addition and subtraction two-step word problems that involve length.		1. Customary units of length: word problems 2. Metric units of length: word problems
Lesson 14: Solve addition and subtraction two-step word problems that involve length.
1. Customary units of length: word problems 2. Metric units of length: word problems

Lesson 15: Use measurement data to create a line plot. Lesson 16: Create a line plot to represent data and ask and answer questions.		1. Create line plots 2. Interpret line plots
Lesson 15: Use measurement data to create a line plot. Lesson 16: Create a line plot to represent data and ask and answer questions.
1. Create line plots 2. Interpret line plots

6	Module 6 Multiplication and Division Foundations
Topic A - Count and Problem Solve with Equal Groups
Lesson 1: Compose equal groups and write repeated addition equations. Lesson 2: Organize, count, and represent a collection of objects. Lesson 3: Use math drawings to represent equal groups and relate them to repeated addition. Lesson 4: Represent equal groups with a tape diagram.		1. Count equal groups 2. Identify repeated addition for equal groups - sums to 25 3. Write addition sentences for equal groups - sums to 25 Also consider: • Relate addition and multiplication for equal groups • Solve word problems with equal groups using repeated addition
Lesson 1: Compose equal groups and write repeated addition equations. Lesson 2: Organize, count, and represent a collection of objects. Lesson 3: Use math drawings to represent equal groups and relate them to repeated addition. Lesson 4: Represent equal groups with a tape diagram.
1. Count equal groups 2. Identify repeated addition for equal groups - sums to 25 3. Write addition sentences for equal groups - sums to 25 Also consider: • Relate addition and multiplication for equal groups • Solve word problems with equal groups using repeated addition
Topic B - Arrays and Equal Groups
Lesson 5: Compose arrays with rows and columns and use a repeated count to find the total. Lesson 6: Decompose arrays into rows and columns and relate them to repeated addition.		1. Identify repeated addition for arrays - sums to 25 2. Write addition sentences for arrays - sums to 25 Also consider: • Identify repeated addition for arrays - sums to 10 • Write addition sentences for arrays - sums to 10 • Solve word problems with arrays using repeated addition
Lesson 5: Compose arrays with rows and columns and use a repeated count to find the total. Lesson 6: Decompose arrays into rows and columns and relate them to repeated addition.
1. Identify repeated addition for arrays - sums to 25 2. Write addition sentences for arrays - sums to 25 Also consider: • Identify repeated addition for arrays - sums to 10 • Write addition sentences for arrays - sums to 10 • Solve word problems with arrays using repeated addition

Lesson 7: Distinguish between rows and columns and use math drawings to represent arrays.		1. Write addition sentences for arrays in two ways
Lesson 7: Distinguish between rows and columns and use math drawings to represent arrays.
1. Write addition sentences for arrays in two ways

Lesson 8: Use square tiles to create arrays with gaps.		1. Tile a rectangle with squares
Lesson 8: Use square tiles to create arrays with gaps.
1. Tile a rectangle with squares
Topic C - Rectangular Arrays as a Foundation for Multiplication and Division
Lesson 9: Determine the attributes of a square array. Lesson 10: Use math drawings to compose a rectangle. Lesson 11: Decompose an array to find the total efficiently. Lesson 12: Reason about how equal arrays can be composed differently. Lesson 13: Decompose an array and relate it to a number bond.		1. Count the number of squares in a rectangle
Lesson 9: Determine the attributes of a square array. Lesson 10: Use math drawings to compose a rectangle. Lesson 11: Decompose an array to find the total efficiently. Lesson 12: Reason about how equal arrays can be composed differently. Lesson 13: Decompose an array and relate it to a number bond.
1. Count the number of squares in a rectangle
Topic D - The Meaning of Even and Odd Numbers
Lesson 14: Relate doubles to even numbers and write equations to express the sums.		1. Add doubles using models 2. Add doubles 3. Add doubles - complete the sentence
Lesson 14: Relate doubles to even numbers and write equations to express the sums.
1. Add doubles using models 2. Add doubles 3. Add doubles - complete the sentence

Lesson 15: Pair objects and skip-count to determine whether a number is even or odd.		1. Even or odd number of shapes - up to 20 2. Identify even and odd numbers - up to 20 3. Identify even and odd numbers - up to 100 4. Select even and odd numbers - up to 100 Also consider: • Even or odd numbers on number lines • Which even or odd number comes before or after?
Lesson 15: Pair objects and skip-count to determine whether a number is even or odd.
1. Even or odd number of shapes - up to 20 2. Identify even and odd numbers - up to 20 3. Identify even and odd numbers - up to 100 4. Select even and odd numbers - up to 100 Also consider: • Even or odd numbers on number lines • Which even or odd number comes before or after?

Lesson 16: Use rectangular arrays to investigate combinations of even and odd numbers.		1. Even or odd: addition patterns
Lesson 16: Use rectangular arrays to investigate combinations of even and odd numbers.
1. Even or odd: addition patterns

Lesson 17: Solve word problems that involve equal groups and arrays.		1. Use models to solve multiplication word problems
Lesson 17: Solve word problems that involve equal groups and arrays.
1. Use models to solve multiplication word problems

Lesson 18: Use various strategies to fluently add and subtract within 100 and know all sums and differences within 20 from memory.		1. Addition and subtraction - up to 20 2. Ways to make a number using addition and subtraction - up to 20 3. Add and subtract numbers - up to 100
Lesson 18: Use various strategies to fluently add and subtract within 100 and know all sums and differences within 20 from memory.
1. Addition and subtraction - up to 20 2. Ways to make a number using addition and subtraction - up to 20 3. Add and subtract numbers - up to 100

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