IXL skill plan | Level 1 plan for Eureka Math2

Skill plan for Eureka Math² - Level 1

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 Counting, Comparison, and Addition
Topic A - Count and Compare with Data
Lesson 1: Organize to find how many and compare.		1. Count on ten frames - up to 10 2. Fewer and more - compare by matching Also consider: • Show numbers on ten frames - up to 10
Lesson 1: Organize to find how many and compare.
1. Count on ten frames - up to 10 2. Fewer and more - compare by matching Also consider: • Show numbers on ten frames - up to 10

Lesson 2: Organize and represent data to compare two categories.		1. Interpret picture graphs with 2 categories 2. Compare numbers up to 10 using words
Lesson 2: Organize and represent data to compare two categories.
1. Interpret picture graphs with 2 categories 2. Compare numbers up to 10 using words

Lesson 3: Sort to represent and compare data with three categories.		1. Interpret picture graphs with 3 categories 2. Compare numbers up to 10 using symbols
Lesson 3: Sort to represent and compare data with three categories.
1. Interpret picture graphs with 3 categories 2. Compare numbers up to 10 using symbols

Lesson 4: Find the total number of data points and compare categories in a picture graph. Lesson 5: Organize and represent categorical data.		1. Classify, sort, and count 2. Which picture graph is correct?
Lesson 4: Find the total number of data points and compare categories in a picture graph. Lesson 5: Organize and represent categorical data.
1. Classify, sort, and count 2. Which picture graph is correct?

Lesson 6: Use tally marks to represent and compare data.		1. Which tally chart is correct? 2. Interpret tally charts Also consider: • Tally marks - up to 20
Lesson 6: Use tally marks to represent and compare data.
1. Which tally chart is correct? 2. Interpret tally charts Also consider: • Tally marks - up to 20
Topic B - Count On from a Visible Part
Lesson 7: Count all or count on to solve put together with total unknown situations.		1. "Put together" word problems with total unknown - sums up to 10 Also consider: • Addition word problems with pictures - sums up to 10
Lesson 7: Count all or count on to solve put together with total unknown situations.
1. "Put together" word problems with total unknown - sums up to 10 Also consider: • Addition word problems with pictures - sums up to 10

Lesson 8: Count on from a known part and identify both parts in a total.		1. Put together cubes - sums up to 10
Lesson 8: Count on from a known part and identify both parts in a total.
1. Put together cubes - sums up to 10

Lesson 9: Count on from both parts and record part–total relationships.		1. Add in any order 2. Related addition facts - sums up to 10 Also consider: • Decompose a number up to 10 • Add doubles with models - sums up to 10
Lesson 9: Count on from both parts and record part–total relationships.
1. Add in any order 2. Related addition facts - sums up to 10 Also consider: • Decompose a number up to 10 • Add doubles with models - sums up to 10

Lesson 10: Count on from 5 within a set.		1. Tally marks - count on from 5 2. Addition word problems with pictures - count on from 5 Also consider: • Adding 5
Lesson 10: Count on from 5 within a set.
1. Tally marks - count on from 5 2. Addition word problems with pictures - count on from 5 Also consider: • Adding 5

Lesson 11: See any part in a set and count on.		1. Counting review - up to 10 Also consider: • Add with pictures - sums up to 10
Lesson 11: See any part in a set and count on.
1. Counting review - up to 10 Also consider: • Add with pictures - sums up to 10

Lesson 12: Count on from 10 to find an unknown total.		1. Make teen numbers: addition sentences Also consider: • Make and take apart teen numbers: addition sentences
Lesson 12: Count on from 10 to find an unknown total.
1. Make teen numbers: addition sentences Also consider: • Make and take apart teen numbers: addition sentences
Topic C - Count On to Add
Lesson 13: Count on from an addend in add to with result unknown situations.		1. "Add to" word problems with result unknown - sums up to 10
Lesson 13: Count on from an addend in add to with result unknown situations.
1. "Add to" word problems with result unknown - sums up to 10

Lesson 14: Count on to find the total of an addition expression.		1. Add by counting on from the first addend - sums up to 10 Also consider: • Addition sentences using number lines - sums up to 10
Lesson 14: Count on to find the total of an addition expression.
1. Add by counting on from the first addend - sums up to 10 Also consider: • Addition sentences using number lines - sums up to 10

Lesson 15: Use the commutative property to count on from the larger addend.		1. Add by counting on - sums up to 10 2. Add by counting on - sums up to 20 3. Addition facts - sums up to 10
Lesson 15: Use the commutative property to count on from the larger addend.
1. Add by counting on - sums up to 10 2. Add by counting on - sums up to 20 3. Addition facts - sums up to 10

Lesson 16: Use the commutative property to find larger totals.		1. Add by counting on from teen numbers - sums up to 20 2. Add a one-digit number to a one-digit or teen number
Lesson 16: Use the commutative property to find larger totals.
1. Add by counting on from teen numbers - sums up to 20 2. Add a one-digit number to a one-digit or teen number

Lesson 17: Add 0 and 1 to any number.		1. Match analog clocks and times with words: to the hour 2. Adding 0 3. Adding 1 Also consider: • Read clocks and write times: to the hour • Match analog clocks and times: to the hour • One more on ten frames - up to 10
Lesson 17: Add 0 and 1 to any number.
1. Match analog clocks and times with words: to the hour 2. Adding 0 3. Adding 1 Also consider: • Read clocks and write times: to the hour • Match analog clocks and times: to the hour • One more on ten frames - up to 10
Topic D - Make the Same Total in Varied Ways
Lesson 18: Determine whether number sentences are true or false.		1. Complete the addition sentence - make 5 Also consider: • Make 5 using addition • Add with cubes - sums up to 5 • Addition sentences to 10: true or false?
Lesson 18: Determine whether number sentences are true or false.
1. Complete the addition sentence - make 5 Also consider: • Make 5 using addition • Add with cubes - sums up to 5 • Addition sentences to 10: true or false?

Lesson 19: Reason about the meaning of the equal sign.		1. Addition sentences: which is true? 2. Take apart numbers up to 10: addition sentences Also consider: • Add with cubes - sums up to 10 • Ways to make a number using addition - sums up to 10
Lesson 19: Reason about the meaning of the equal sign.
1. Addition sentences: which is true? 2. Take apart numbers up to 10: addition sentences Also consider: • Add with cubes - sums up to 10 • Ways to make a number using addition - sums up to 10

Lesson 20: Find all two-part expressions equal to 6.		1. Complete the addition sentence - make 6 2. Take apart 6
Lesson 20: Find all two-part expressions equal to 6.
1. Complete the addition sentence - make 6 2. Take apart 6

Lesson 21: Find all two-part expressions equal to 7 and 8.		1. Complete the addition sentence - make 7 2. Complete the addition sentence - make 8 Also consider: • Take apart 7 • Take apart 8
Lesson 21: Find all two-part expressions equal to 7 and 8.
1. Complete the addition sentence - make 7 2. Complete the addition sentence - make 8 Also consider: • Take apart 7 • Take apart 8

Lesson 22: Find all two-part expressions equal to 9 and 10.		1. Complete the addition sentence - make 9 2. Complete the addition sentence to make ten - with models 3. Complete the addition sentence to make ten 4. Ways to make a number - addition sentences up to 10 Also consider: • Complete the addition sentence - sums up to 10 • Take apart 9 • Take apart 10
Lesson 22: Find all two-part expressions equal to 9 and 10.
1. Complete the addition sentence - make 9 2. Complete the addition sentence to make ten - with models 3. Complete the addition sentence to make ten 4. Ways to make a number - addition sentences up to 10 Also consider: • Complete the addition sentence - sums up to 10 • Take apart 9 • Take apart 10

Lesson 23: Find the totals of doubles +1 facts.		1. Add using doubles plus one - sums up to 10 Also consider: • Add doubles - sums up to 10
Lesson 23: Find the totals of doubles +1 facts.
1. Add using doubles plus one - sums up to 10 Also consider: • Add doubles - sums up to 10

Lesson 24: Use known facts to make easier problems.		1. Addition facts - sums up to 20 Also consider: • Add using doubles plus one - sums up to 12
Lesson 24: Use known facts to make easier problems.
1. Addition facts - sums up to 20 Also consider: • Add using doubles plus one - sums up to 12

Lesson 25 (Optional): Organize, count, and record a collection of objects.		1. Count on ten frames - up to 40 2. Skip-count by twos, fives, and tens
Lesson 25 (Optional): Organize, count, and record a collection of objects.
1. Count on ten frames - up to 40 2. Skip-count by twos, fives, and tens

2	Module 2 Addition and Subtraction Relationships
Topic A - Reason About Take From Situations
Lesson 1: Represent result unknown problems and record as addition or subtraction number sentences.		1. "Take from" word problems with result unknown - up to 10
Lesson 1: Represent result unknown problems and record as addition or subtraction number sentences.
1. "Take from" word problems with result unknown - up to 10

Lesson 2: Subtract all or subtract 0.		1. Subtract zero and all Also consider: • Subtracting 0
Lesson 2: Subtract all or subtract 0.
1. Subtract zero and all Also consider: • Subtracting 0

Lesson 3: Subtract 1 or subtract 1 less than the total.		1. Subtracting 1 and all but 1 - word problems 2. Subtracting 1 Also consider: • One more and one less on ten frames - up to 10
Lesson 3: Subtract 1 or subtract 1 less than the total.
1. Subtracting 1 and all but 1 - word problems 2. Subtracting 1 Also consider: • One more and one less on ten frames - up to 10

Lesson 4: Use fingers to subtract 4, 5, and 6 efficiently.		1. Subtracting 4 2. Subtracting 5 3. Subtracting 6
Lesson 4: Use fingers to subtract 4, 5, and 6 efficiently.
1. Subtracting 4 2. Subtracting 5 3. Subtracting 6
Topic B - Relate and Distinguish Addition and Subtraction
Lesson 5: Use the Read–Draw–Write process to solve result unknown problems. Lesson 6: Represent and solve related addition and subtraction result unknown problems.		1. Addition and subtraction word problems - up to 5
Lesson 5: Use the Read–Draw–Write process to solve result unknown problems. Lesson 6: Represent and solve related addition and subtraction result unknown problems.
1. Addition and subtraction word problems - up to 5

Lesson 7: Count on or count back to solve related addition and subtraction problems.		1. Word problems with result unknown - up to 10 2. Relate addition and subtraction sentences - up to 10 Also consider: • Subtraction sentences using number lines - up to 10
Lesson 7: Count on or count back to solve related addition and subtraction problems.
1. Word problems with result unknown - up to 10 2. Relate addition and subtraction sentences - up to 10 Also consider: • Subtraction sentences using number lines - up to 10
Topic C - Find an Unknown Part in Change Unknown Problems
Lesson 8: Interpret and find an unknown change. Lesson 9: Represent and solve add to with change unknown problems.		1. "Add to" word problems with change unknown - up to 10 Also consider: • Complete the addition sentence with change unknown - sums up to 10
Lesson 8: Interpret and find an unknown change. Lesson 9: Represent and solve add to with change unknown problems.
1. "Add to" word problems with change unknown - up to 10 Also consider: • Complete the addition sentence with change unknown - sums up to 10

Lesson 10: Represent and find an unknown addend in equations.		1. Complete the addition sentence with change unknown - sums up to 20
Lesson 10: Represent and find an unknown addend in equations.
1. Complete the addition sentence with change unknown - sums up to 20

Lesson 11: Represent and solve take from with change unknown problems.		1. "Take from" word problems with change unknown - up to 10 Also consider: • Complete the subtraction sentence with change unknown - up to 10
Lesson 11: Represent and solve take from with change unknown problems.
1. "Take from" word problems with change unknown - up to 10 Also consider: • Complete the subtraction sentence with change unknown - up to 10

Lesson 12: Represent and find an unknown subtrahend in equations.		1. Complete the subtraction sentence with change unknown - up to 20
Lesson 12: Represent and find an unknown subtrahend in equations.
1. Complete the subtraction sentence with change unknown - up to 20

Lesson 13: Represent and solve add to and take from with change unknown problems.		1. Word problems with change unknown - up to 10
Lesson 13: Represent and solve add to and take from with change unknown problems.
1. Word problems with change unknown - up to 10
Topic D - Find an Unknown Part by Using Addition and Subtraction
Lesson 14: Represent and solve put together/take apart with addend unknown problems.		1. Word problems with one addend unknown - up to 10 Also consider: • Subtraction sentences up to 10: what does the cube train show?
Lesson 14: Represent and solve put together/take apart with addend unknown problems.
1. Word problems with one addend unknown - up to 10 Also consider: • Subtraction sentences up to 10: what does the cube train show?

Lesson 15: Relate counting on and counting back to find an unknown part.		1. Subtract by counting on - up to 10 2. Subtract by counting back - up to 10 Also consider: • Relate addition and subtraction sentences - up to 20
Lesson 15: Relate counting on and counting back to find an unknown part.
1. Subtract by counting on - up to 10 2. Subtract by counting back - up to 10 Also consider: • Relate addition and subtraction sentences - up to 20

Lesson 16: Compare the efficiency of counting on and counting back to subtract.		1. Subtract by counting on - up to 20 2. Subtract by counting back - up to 20
Lesson 16: Compare the efficiency of counting on and counting back to subtract.
1. Subtract by counting on - up to 20 2. Subtract by counting back - up to 20

Lesson 17: Use related addition facts to subtract from 10.		1. Subtract from 10 Also consider: • Make ten
Lesson 17: Use related addition facts to subtract from 10.
1. Subtract from 10 Also consider: • Make ten

Lesson 18: Use related addition facts to subtract.		1. Use addition to subtract - up to 10 Also consider: • Addition and subtraction facts - up to 10
Lesson 18: Use related addition facts to subtract.
1. Use addition to subtract - up to 10 Also consider: • Addition and subtraction facts - up to 10

Lesson 19: Determine the value of the unknown in various positions.		1. Complete the addition or subtraction sentence - up to 10 2. Fact families - up to 20 3. Addition and subtraction facts - up to 20 Also consider: • Fact families - up to 10 • Use addition to subtract - up to 20
Lesson 19: Determine the value of the unknown in various positions.
1. Complete the addition or subtraction sentence - up to 10 2. Fact families - up to 20 3. Addition and subtraction facts - up to 20 Also consider: • Fact families - up to 10 • Use addition to subtract - up to 20
Topic E - Represent and Solve Comparison Problems
Lesson 20: Add or subtract to make groups equal.		1. Comparing: how many more?
Lesson 20: Add or subtract to make groups equal.
1. Comparing: how many more?

Lesson 21: Represent and solve compare with difference unknown problems, part 1. Lesson 22: Represent and solve compare with difference unknown problems, part 2.		1. Comparison word problems up to 10: how many more?
Lesson 21: Represent and solve compare with difference unknown problems, part 1. Lesson 22: Represent and solve compare with difference unknown problems, part 2.
1. Comparison word problems up to 10: how many more?

Lesson 23: Compare categories in a graph to figure out how many more.		1. Interpret bar graphs - how many more?
Lesson 23: Compare categories in a graph to figure out how many more.
1. Interpret bar graphs - how many more?

3	Module 3 Properties of Operations to Make Easier Problems
Topic A - Make Easier Problems with Three Addends
Lesson 1: Group to make ten when there are three parts. Lesson 2: Make ten with three addends.		1. Add three numbers - make ten
Lesson 1: Group to make ten when there are three parts. Lesson 2: Make ten with three addends.
1. Add three numbers - make ten

Lesson 3: Represent and solve three-addend word problems.		1. Add three numbers - make ten - word problems
Lesson 3: Represent and solve three-addend word problems.
1. Add three numbers - make ten - word problems

Lesson 4: Use properties of addition to make three-addend expressions easier.		1. Add three numbers - use doubles Also consider: • Add three numbers
Lesson 4: Use properties of addition to make three-addend expressions easier.
1. Add three numbers - use doubles Also consider: • Add three numbers
Topic B - Make Easier Problems to Add
Lesson 5: Make ten when an addend is 5.		1. Use ten frames to add - add 5 Also consider: • Count on ten frames - 11 to 20 • Show numbers on ten frames - 11 to 20
Lesson 5: Make ten when an addend is 5.
1. Use ten frames to add - add 5 Also consider: • Count on ten frames - 11 to 20 • Show numbers on ten frames - 11 to 20

Lesson 6: Make ten when the first addend is 9. Lesson 7: Make ten when the first addend is 8 or 9. Lesson 8: Make ten when the second addend is 8 or 9.		1. Use ten frames to add - add 8 2. Use ten frames to add - add 9 3. Make ten to add - one addend is 8 or 9
Lesson 6: Make ten when the first addend is 9. Lesson 7: Make ten when the first addend is 8 or 9. Lesson 8: Make ten when the second addend is 8 or 9.
1. Use ten frames to add - add 8 2. Use ten frames to add - add 9 3. Make ten to add - one addend is 8 or 9

Lesson 9: Make ten with either addend.		1. Use ten frames to add 2. Make ten to add
Lesson 9: Make ten with either addend.
1. Use ten frames to add 2. Make ten to add

Lesson 10: Make ten when there are three addends.		1. Make ten to add three numbers
Lesson 10: Make ten when there are three addends.
1. Make ten to add three numbers
Topic C - Make Easier Addition Problems with a Linear Model
Lesson 11: Represent and compare related situation equations, part 1.		1. Addition word problems with regrouping - sums 10 to 20 Also consider: • Addition sentences using number lines - sums up to 20
Lesson 11: Represent and compare related situation equations, part 1.
1. Addition word problems with regrouping - sums 10 to 20 Also consider: • Addition sentences using number lines - sums up to 20

Lesson 12: Represent and compare related situation equations, part 2.		1. Complete the addition sentence - sums 10 to 20
Lesson 12: Represent and compare related situation equations, part 2.
1. Complete the addition sentence - sums 10 to 20

Lesson 13: Count on to make ten within 20.		1. Addition facts - sums up to 18
Lesson 13: Count on to make ten within 20.
1. Addition facts - sums up to 18

Lesson 14: Count on to make the next ten within 100.		1. Use ten to add a one-digit number and a teen number - sums to 20
Lesson 14: Count on to make the next ten within 100.
1. Use ten to add a one-digit number and a teen number - sums to 20
Topic D - Reason about Ten as a Unit to Add or Subtract
Lesson 15: Count and record a collection of objects.		1. Count objects to 100 Also consider: • Skip-count by tens
Lesson 15: Count and record a collection of objects.
1. Count objects to 100 Also consider: • Skip-count by tens

Lesson 16: Identify ten as a unit.		1. Build and break apart two-digit numbers - with models
Lesson 16: Identify ten as a unit.
1. Build and break apart two-digit numbers - with models

Lesson 17: Add a two-digit number and a one-digit number.		1. Use ten to add a one-digit number and a teen number - sums to 20 2. Add a one-digit number to a teen number - sums to 20
Lesson 17: Add a two-digit number and a one-digit number.
1. Use ten to add a one-digit number and a teen number - sums to 20 2. Add a one-digit number to a teen number - sums to 20

Lesson 18: Subtract a one-digit number from a two-digit number.		1. Subtract one-digit numbers from teen numbers - without regrouping Also consider: • Use models to subtract a one-digit number from a two-digit number - without regrouping - up to 40
Lesson 18: Subtract a one-digit number from a two-digit number.
1. Subtract one-digit numbers from teen numbers - without regrouping Also consider: • Use models to subtract a one-digit number from a two-digit number - without regrouping - up to 40

Lesson 19: Solve take from with change unknown problems with totals in the teens.		1. "Take from" word problems with change unknown - up to 20
Lesson 19: Solve take from with change unknown problems with totals in the teens.
1. "Take from" word problems with change unknown - up to 20
Topic E - Make Easier Problems to Subtract
Lesson 20: Use strategies to subtract from a teen number.		1. Use ten frames to subtract 2. Use ten to subtract
Lesson 20: Use strategies to subtract from a teen number.
1. Use ten frames to subtract 2. Use ten to subtract

Lesson 21: Take from ten to subtract from a teen number, part 1.		1. Subtracting 8 2. Subtracting 9
Lesson 21: Take from ten to subtract from a teen number, part 1.
1. Subtracting 8 2. Subtracting 9

Lesson 22: Take from ten to subtract from a teen number, part 2.		1. Subtract within 20
Lesson 22: Take from ten to subtract from a teen number, part 2.
1. Subtract within 20

Lesson 23: Subtract by counting on.		1. Count on to subtract one-digit numbers from teen numbers
Lesson 23: Subtract by counting on.
1. Count on to subtract one-digit numbers from teen numbers

Lesson 24: Decompose the subtrahend to count back.
Lesson 24: Decompose the subtrahend to count back.


Lesson 25: Choose a strategy to make an easier problem.		1. Subtraction facts - up to 20
Lesson 25: Choose a strategy to make an easier problem.
1. Subtraction facts - up to 20

Lesson 26: Pose and solve varied word problems.		1. Word problems involving addition and subtraction - up to 10
Lesson 26: Pose and solve varied word problems.
1. Word problems involving addition and subtraction - up to 10

4	Module 4 Comparison and Composition of Length Measurements
Topic A - Direct and Indirect Length Comparison
Lesson 1: Compare and order objects by length. Lesson 2: Reason to order and compare heights.		1. Compare objects: length and height 2. Order objects: length and height Also consider: • Compare objects: length and height - 2 objects only
Lesson 1: Compare and order objects by length. Lesson 2: Reason to order and compare heights.
1. Compare objects: length and height 2. Order objects: length and height Also consider: • Compare objects: length and height - 2 objects only

Lesson 3: Compare the lengths of two objects indirectly by using a third object.		1. Indirect comparison
Lesson 3: Compare the lengths of two objects indirectly by using a third object.
1. Indirect comparison
Topic B - Length Measurement and Comparison
Lesson 4: Measure accurately with centimeter cubes.		1. Build cube trains to measure length Also consider: • Measure using a centimeter ruler
Lesson 4: Measure accurately with centimeter cubes.
1. Build cube trains to measure length Also consider: • Measure using a centimeter ruler

Lesson 5: Measure and compare lengths.		1. Compare numbers up to 20 using symbols Also consider: • Use place value to compare numbers up to 20 • Compare numbers up to 20 using words
Lesson 5: Measure and compare lengths.
1. Compare numbers up to 20 using symbols Also consider: • Use place value to compare numbers up to 20 • Compare numbers up to 20 using words

Lesson 6: Measure and order lengths.		1. Build cube trains to measure height 2. Put numbers in order - up to 20
Lesson 6: Measure and order lengths.
1. Build cube trains to measure height 2. Put numbers in order - up to 20

Lesson 7: Use 10-centimeter sticks and centimeter cubes to measure.		1. Place value models up to 20 2. Build and break apart teen numbers
Lesson 7: Use 10-centimeter sticks and centimeter cubes to measure.
1. Place value models up to 20 2. Build and break apart teen numbers

Lesson 8: Draw to represent a length measurement.		1. Place value models up to 40 2. Build and break apart numbers up to 40 3. Write numbers as tens and ones - up to 40 Also consider: • Use models to add a multiple of ten and a one-digit number
Lesson 8: Draw to represent a length measurement.
1. Place value models up to 40 2. Build and break apart numbers up to 40 3. Write numbers as tens and ones - up to 40 Also consider: • Use models to add a multiple of ten and a one-digit number

Lesson 9: Represent a total length as units of tens and ones.		1. Place value models - up to 50 2. Build and break apart numbers up to 50 3. Write numbers as tens and ones - up to 50 Also consider: • Add a multiple of ten and a one-digit number
Lesson 9: Represent a total length as units of tens and ones.
1. Place value models - up to 50 2. Build and break apart numbers up to 50 3. Write numbers as tens and ones - up to 50 Also consider: • Add a multiple of ten and a one-digit number
Topic C - Comparison Word Problems with Measurement
Lesson 10: Compare to find how much longer.		1. Comparison word problems up to 20: how many more?
Lesson 10: Compare to find how much longer.
1. Comparison word problems up to 20: how many more?

Lesson 11: Compare to find how much shorter.		1. Comparison word problems up to 20: how many fewer? 2. Measure to compare length in centimeters 3. Compare lengths Also consider: • Comparison word problems up to 10: how many fewer? • Comparison word problems up to 20: how many more or fewer?
Lesson 11: Compare to find how much shorter.
1. Comparison word problems up to 20: how many fewer? 2. Measure to compare length in centimeters 3. Compare lengths Also consider: • Comparison word problems up to 10: how many fewer? • Comparison word problems up to 20: how many more or fewer?

Lesson 12: Find the unknown longer length.		1. Comparison word problems up to 20: what is the larger amount? Also consider: • Comparison word problems up to 10: what is the larger amount?
Lesson 12: Find the unknown longer length.
1. Comparison word problems up to 20: what is the larger amount? Also consider: • Comparison word problems up to 10: what is the larger amount?

Lesson 13: Find the unknown shorter length.		1. Comparison word problems up to 20: what is the smaller amount? Also consider: • Comparison word problems up to 10: what is the smaller amount?
Lesson 13: Find the unknown shorter length.
1. Comparison word problems up to 20: what is the smaller amount? Also consider: • Comparison word problems up to 10: what is the smaller amount?

Lesson 14 (Optional): Measure to find patterns.		1. Find the next row in a growing pattern 2. Skip-counting patterns - with tables Also consider: • Sequences - count up and down by 1, 2, 5, and 10 • Find the next shape in a growing pattern • Growing patterns
Lesson 14 (Optional): Measure to find patterns.
1. Find the next row in a growing pattern 2. Skip-counting patterns - with tables Also consider: • Sequences - count up and down by 1, 2, 5, and 10 • Find the next shape in a growing pattern • Growing patterns

5	Module 5 Place Value Concepts to Compare, Add, and Subtract
Topic A - Grouping Units in Tens and Ones
Lesson 1: Tell time to the hour and half hour by using digital and analog clocks.		1. Match analog and digital clocks: to the half hour 2. Read clocks and write times Also consider: • Match digital clocks and times
Lesson 1: Tell time to the hour and half hour by using digital and analog clocks.
1. Match analog and digital clocks: to the half hour 2. Read clocks and write times Also consider: • Match digital clocks and times

Lesson 2: Count a collection and record the total in units of tens and ones.		1. Place value models for two-digit numbers 2. Build and break apart two-digit numbers - without models
Lesson 2: Count a collection and record the total in units of tens and ones.
1. Place value models for two-digit numbers 2. Build and break apart two-digit numbers - without models

Lesson 3: Recognize the place value of digits in a two-digit number.		1. Value of a digit - tens and ones
Lesson 3: Recognize the place value of digits in a two-digit number.
1. Value of a digit - tens and ones

Lesson 4: Represent a number in multiple ways by trading 10 ones for a ten.		1. Equivalent groups of coins - pennies and dimes Also consider: • Exchanging pennies and dimes • Count pennies and dimes
Lesson 4: Represent a number in multiple ways by trading 10 ones for a ten.
1. Equivalent groups of coins - pennies and dimes Also consider: • Exchanging pennies and dimes • Count pennies and dimes

Lesson 5: Reason about equivalent representations of a number.		1. Ways to make a number - tens and ones 2. Regroup tens and ones - ways to make a number 3. Regroup tens and ones Also consider: • Build and break apart multiples of ten
Lesson 5: Reason about equivalent representations of a number.
1. Ways to make a number - tens and ones 2. Regroup tens and ones - ways to make a number 3. Regroup tens and ones Also consider: • Build and break apart multiples of ten

Lesson 6: Add 10 or take 10 from a two-digit number.		1. Hundred chart - ten more or less 2. Ten more or less 3. Add and subtract ten Also consider: • Sequences up to 100 - subtract 10
Lesson 6: Add 10 or take 10 from a two-digit number.
1. Hundred chart - ten more or less 2. Ten more or less 3. Add and subtract ten Also consider: • Sequences up to 100 - subtract 10
Topic B - Use Place Value to Compare
Lesson 7: Use place value reasoning to compare two quantities.		1. Use place value to compare numbers up to 100 Also consider: • Compare numbers up to 100 using words
Lesson 7: Use place value reasoning to compare two quantities.
1. Use place value to compare numbers up to 100 Also consider: • Compare numbers up to 100 using words

Lesson 8: Use place value reasoning to write and compare 2 two-digit numbers.		1. Compare numbers up to 100 using symbols Also consider: • Compare numbers up to 100 using symbols - with models • Guess the number
Lesson 8: Use place value reasoning to write and compare 2 two-digit numbers.
1. Compare numbers up to 100 using symbols Also consider: • Compare numbers up to 100 using symbols - with models • Guess the number

Lesson 9: Compare two quantities and make them equal.		1. Compare money amounts - pennies and dimes
Lesson 9: Compare two quantities and make them equal.
1. Compare money amounts - pennies and dimes
Topic C - Addition of One-Digit and Two-Digit Numbers
Lesson 10: Add the ones first.		1. Use models to add a two-digit and a one-digit number - without regrouping 2. Add a two-digit and a one-digit number - without regrouping
Lesson 10: Add the ones first.
1. Use models to add a two-digit and a one-digit number - without regrouping 2. Add a two-digit and a one-digit number - without regrouping

Lesson 11: Add the ones to make the next ten.		1. Add a one-digit number to a two-digit number - sums are multiples of ten
Lesson 11: Add the ones to make the next ten.
1. Add a one-digit number to a two-digit number - sums are multiples of ten

Lesson 12: Decompose an addend to make the next ten.		1. Use models to add a two-digit and a one-digit number - with regrouping
Lesson 12: Decompose an addend to make the next ten.
1. Use models to add a two-digit and a one-digit number - with regrouping

Lesson 13: Reason about related problems that make the next ten.		1. Break apart a one-digit number to add 2. Add a two-digit and a one-digit number - with regrouping
Lesson 13: Reason about related problems that make the next ten.
1. Break apart a one-digit number to add 2. Add a two-digit and a one-digit number - with regrouping

Lesson 14: Determine which equations make the next ten.		1. Add a one-digit number to a two-digit number
Lesson 14: Determine which equations make the next ten.
1. Add a one-digit number to a two-digit number
Topic D - Addition and Subtraction of Tens
Lesson 15: Count on and back by tens to add and subtract.		1. Add multiples of ten 2. Subtract multiples of ten
Lesson 15: Count on and back by tens to add and subtract.
1. Add multiples of ten 2. Subtract multiples of ten

Lesson 16: Use related single-digit facts to add and subtract multiples of ten.		1. Addition and subtraction patterns with multiples of ten
Lesson 16: Use related single-digit facts to add and subtract multiples of ten.
1. Addition and subtraction patterns with multiples of ten

Lesson 17: Use tens to find an unknown part.		1. Patterns with multiples of ten - find the unknown part
Lesson 17: Use tens to find an unknown part.
1. Patterns with multiples of ten - find the unknown part

Lesson 18: Determine if number sentences involving addition and subtraction are true or false.		1. Add and subtract two multiples of ten
Lesson 18: Determine if number sentences involving addition and subtraction are true or false.
1. Add and subtract two multiples of ten

Lesson 19: Add tens to a two-digit number.		1. Use models to add a multiple of ten and a two-digit number 2. Add a multiple of ten and a two-digit number Also consider: • Skip-count to add a multiple of ten
Lesson 19: Add tens to a two-digit number.
1. Use models to add a multiple of ten and a two-digit number 2. Add a multiple of ten and a two-digit number Also consider: • Skip-count to add a multiple of ten

Lesson 20: Add ones and multiples of ten to any number.		1. Add tens or ones to a two-digit number - without regrouping
Lesson 20: Add ones and multiples of ten to any number.
1. Add tens or ones to a two-digit number - without regrouping
Topic E - Addition of Two-Digit Numbers
Lesson 21: Use varied strategies to add 2 two-digit addends. Lesson 22: Decompose both addends and add like units. Lesson 23: Decompose an addend and add tens first. Lesson 24: Decompose an addend to make the next ten. Lesson 25: Compare equivalent expressions used to solve two-digit addition equations.		1. Add two-digit numbers - sums are multiples of ten 2. Use models to add two-digit numbers - without regrouping 3. Use place value to add two-digit numbers - without regrouping 4. Break apart a two-digit number to add - sums up to 100 5. Add two-digit numbers Also consider: • Add two-digit numbers without regrouping - sums to 100
Lesson 21: Use varied strategies to add 2 two-digit addends. Lesson 22: Decompose both addends and add like units. Lesson 23: Decompose an addend and add tens first. Lesson 24: Decompose an addend to make the next ten. Lesson 25: Compare equivalent expressions used to solve two-digit addition equations.
1. Add two-digit numbers - sums are multiples of ten 2. Use models to add two-digit numbers - without regrouping 3. Use place value to add two-digit numbers - without regrouping 4. Break apart a two-digit number to add - sums up to 100 5. Add two-digit numbers Also consider: • Add two-digit numbers without regrouping - sums to 100

6	Module 6 Attributes of Shapes • Advancing Place Value, Addition, and Subtraction
Topic A - Attributes of Shapes
Lesson 1: Name two-dimensional shapes based on the number of sides.		1. Count sides 2. Classify polygons 3. Name polygons: up to 6 sides Also consider: • Open and closed shapes • Classify shapes based on their sides • Compare sides and corners
Lesson 1: Name two-dimensional shapes based on the number of sides.
1. Count sides 2. Classify polygons 3. Name polygons: up to 6 sides Also consider: • Open and closed shapes • Classify shapes based on their sides • Compare sides and corners

Lesson 2: Sort and name two-dimensional shapes based on attributes.		1. Square corners 2. Parallel sides in quadrilaterals
Lesson 2: Sort and name two-dimensional shapes based on attributes.
1. Square corners 2. Parallel sides in quadrilaterals

Lesson 3: Draw two-dimensional shapes and identify defining attributes.		1. Classify quadrilaterals
Lesson 3: Draw two-dimensional shapes and identify defining attributes.
1. Classify quadrilaterals

Lesson 4: Name solid shapes and describe their attributes.		1. Name the three-dimensional shape 2. Identify faces of three-dimensional shapes Also consider: • Identify shapes traced from solids • Count vertices, edges, and faces
Lesson 4: Name solid shapes and describe their attributes.
1. Name the three-dimensional shape 2. Identify faces of three-dimensional shapes Also consider: • Identify shapes traced from solids • Count vertices, edges, and faces

Lesson 5: Reason about the functionality of three-dimensional shapes based on their attributes.		1. Spheres Also consider: • Three-dimensional shapes in the real world I • Three-dimensional shapes in the real world II
Lesson 5: Reason about the functionality of three-dimensional shapes based on their attributes.
1. Spheres Also consider: • Three-dimensional shapes in the real world I • Three-dimensional shapes in the real world II
Topic B - Composition of Shapes
Lesson 6: Create composite shapes and identify shapes within two- and three-dimensional composite shapes. Lesson 7: Create new composite shapes by adding a shape.		1. Three-dimensional shapes in real-world objects 2. Compose two-dimensional shapes 3. Compose three-dimensional shapes Also consider: • Select two-dimensional shapes • Select three-dimensional shapes • Triangles • Rhombuses
Lesson 6: Create composite shapes and identify shapes within two- and three-dimensional composite shapes. Lesson 7: Create new composite shapes by adding a shape.
1. Three-dimensional shapes in real-world objects 2. Compose two-dimensional shapes 3. Compose three-dimensional shapes Also consider: • Select two-dimensional shapes • Select three-dimensional shapes • Triangles • Rhombuses

Lesson 8: Combine identical composite shapes. Lesson 9: Relate the size of a shape to how many are needed to compose a new shape.		1. Compose two-dimensional shapes 2. Compose bigger three-dimensional shapes
Lesson 8: Combine identical composite shapes. Lesson 9: Relate the size of a shape to how many are needed to compose a new shape.
1. Compose two-dimensional shapes 2. Compose bigger three-dimensional shapes
Topic C - Halves and Fourths
Lesson 10: Reason about equal and not equal shares.		1. Equal parts - 2 and 4 equal parts Also consider: • Equal parts - 2, 3, and 4 equal parts
Lesson 10: Reason about equal and not equal shares.
1. Equal parts - 2 and 4 equal parts Also consider: • Equal parts - 2, 3, and 4 equal parts

Lesson 11: Name equal shares as halves or fourths.		1. Identify halves and fourths Also consider: • Identify halves • Identify fourths
Lesson 11: Name equal shares as halves or fourths.
1. Identify halves and fourths Also consider: • Identify halves • Identify fourths

Lesson 12: Partition shapes into halves, fourths, and quarters.		1. Make halves 2. Make fourths Also consider: • Make halves and fourths in different ways
Lesson 12: Partition shapes into halves, fourths, and quarters.
1. Make halves 2. Make fourths Also consider: • Make halves and fourths in different ways

Lesson 13: Relate the number of equal shares to the size of the shares.		1. Make halves and fourths
Lesson 13: Relate the number of equal shares to the size of the shares.
1. Make halves and fourths

Lesson 14: Tell time to the half hour with the term half past. Lesson 15 (Optional): Reason about the location of the hour hand to tell time.		1. Match analog clocks and times with words: to the half hour 2. Match analog clocks and times: to the half hour
Lesson 14: Tell time to the half hour with the term half past. Lesson 15 (Optional): Reason about the location of the hour hand to tell time.
1. Match analog clocks and times with words: to the half hour 2. Match analog clocks and times: to the half hour
Topic D - Count and Represent Numbers Beyond 100
Lesson 16: Count and record totals for collections greater than 100.		1. Count objects to 120 Also consider: • Skip-count by tens - up to 120
Lesson 16: Count and record totals for collections greater than 100.
1. Count objects to 120 Also consider: • Skip-count by tens - up to 120

Lesson 17: Read, write, and represent numbers greater than 100.		1. Place value models with tens and ones - 100 to 120 2. Count on a number chart - up to 120 Also consider: • Place value models with tens and ones - 100 to 110 • Place value models with tens and ones - 110 to 120 • Count on the hundred chart
Lesson 17: Read, write, and represent numbers greater than 100.
1. Place value models with tens and ones - 100 to 120 2. Count on a number chart - up to 120 Also consider: • Place value models with tens and ones - 100 to 110 • Place value models with tens and ones - 110 to 120 • Count on the hundred chart

Lesson 18: Count up and down across 100.		1. Number chart - up to 120 2. One or ten more/less - up to 120 3. Sequences up to 120 - count up by 1 and 10 Also consider: • Hundred chart
Lesson 18: Count up and down across 100.
1. Number chart - up to 120 2. One or ten more/less - up to 120 3. Sequences up to 120 - count up by 1 and 10 Also consider: • Hundred chart

Lesson 19: Write totals for collections larger than 100 shown in various groups of tens and ones.		1. Write numbers as hundreds, tens, and ones - up to 120 Also consider: • Sequences - count up and down by 1
Lesson 19: Write totals for collections larger than 100 shown in various groups of tens and ones.
1. Write numbers as hundreds, tens, and ones - up to 120 Also consider: • Sequences - count up and down by 1
Topic E - Deepening Problem Solving
Lesson 20: Represent and solve put together and take apart word problems.		1. Word problems with one addend unknown - up to 20
Lesson 20: Represent and solve put together and take apart word problems.
1. Word problems with one addend unknown - up to 20

Lesson 21: Represent and solve add to and take from word problems.		1. Complete the number sentence with change unknown - up to 20
Lesson 21: Represent and solve add to and take from word problems.
1. Complete the number sentence with change unknown - up to 20

Lesson 22: Represent and solve add to and take from with start unknown word problems.		1. Word problems with start unknown - up to 10 Also consider: • "Add to" word problems with start unknown - up to 10 • "Take from" word problems with start unknown - up to 10
Lesson 22: Represent and solve add to and take from with start unknown word problems.
1. Word problems with start unknown - up to 10 Also consider: • "Add to" word problems with start unknown - up to 10 • "Take from" word problems with start unknown - up to 10

Lesson 23: Represent and solve comparison word problems.		1. Comparison word problems up to 20: part 2 Also consider: • Comparison word problems up to 20: part 1 • Comparing: how many more or fewer? • Comparison word problems up to 10
Lesson 23: Represent and solve comparison word problems.
1. Comparison word problems up to 20: part 2 Also consider: • Comparison word problems up to 20: part 1 • Comparing: how many more or fewer? • Comparison word problems up to 10

Lesson 24: Reason with nonstandard measurement units.		1. Comparison word problems up to 10: what is the larger or smaller amount? 2. Measure length with objects
Lesson 24: Reason with nonstandard measurement units.
1. Comparison word problems up to 10: what is the larger or smaller amount? 2. Measure length with objects

Lesson 25: Solve nonroutine problems.		1. Word problems involving addition and subtraction - up to 20 Also consider: • Compare numbers up to 100: word problems
Lesson 25: Solve nonroutine problems.
1. Word problems involving addition and subtraction - up to 20 Also consider: • Compare numbers up to 100: word problems
Topic F - Extending Addition to 100
Lesson 26: Make a total in more than one way.		1. Ways to make a number using addition - sums 10 to 20
Lesson 26: Make a total in more than one way.
1. Ways to make a number using addition - sums 10 to 20

Lesson 27: Add two-digit numbers in various ways, part 1.		1. Use models to add two-digit numbers - with regrouping 2. Use place value to add two-digit numbers - with regrouping
Lesson 27: Add two-digit numbers in various ways, part 1.
1. Use models to add two-digit numbers - with regrouping 2. Use place value to add two-digit numbers - with regrouping

Lesson 28: Add two-digit numbers in various ways, part 2.		1. Add two-digit numbers with regrouping
Lesson 28: Add two-digit numbers in various ways, part 2.
1. Add two-digit numbers with regrouping

Lesson 29: Add tens to make 100.
Lesson 29: Add tens to make 100.


Lesson 30: Make the next ten and add tens to make 100. Lesson 31: Add to make 100.		1. Complete the addition sentence - make 100
Lesson 30: Make the next ten and add tens to make 100. Lesson 31: Add to make 100.
1. Complete the addition sentence - make 100

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