# Curriculum for Grade 1

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### MODULE 1. Sums and Differences to 10

Students explore the composition of numbers 3-5 through visual models. They use objects, base-10 blocks, and equations.

A. Decompose a set of 3-5 objects into two groups and identify as addends in an equationB. Match two addends, both visual and numeric, to reach a sum of 4C. Identify a missing addend, with and without visual support, in equations with a sum of 5D. Match two addends to reach a sum of 3 in a visual modelE. Identify a missing addend in a visual model to reach a sum of 5F. Match two addends to reach a sum of 4 in a visual modelG. Identify a missing addend in a visual model to reach a sum of 4H. Match two addends, both visual and numeric, to reach a sum of 5

Students explore the composition of numbers 6-10 through visual models. They use objects, base-10 blocks, and equations. Base-10 models use a 5-group configuration to move students from counting all to counting on.

A. Decompose a set of 6 objects into two groups and identify as addends in an equationB. Match two addends, both visual and numeric, to reach a sum of 6C. Identify a missing addend in equations with a sum of 6 given a model of base-10 blocksD. Match two addends to reach a sum of 6E. Decompose a set of 7 objects into two groups and identify as addends in an equationF. Match two addends, both visual and numeric, to reach a sum of 7G. Identify a missing addend in equations with a sum of 7 given a model of base-10 blocksH. Match two addends to reach a sum of 7I. Decompose a set of 8 objects into two groups and identify as addends in an equationJ. Match two addends, both visual and numeric, to reach a sum of 8K. Identify a missing addend in equations with a sum of 8 given a model of base-10 blocksL. Match two addends to reach a sum of 8M. Decompose a set of 9 objects into two groups and identify as addends in an equationN. Match two addends, both visual and numeric, to reach a sum of 9O. Identify a missing addend in equations with a sum of 9 given a model of base-10 blocksP. Match two addends to reach a sum of 9Q. Match two sets of uniform objects to reach a sum of 10R. Identify a missing addend in equations with a sum of 10 given a model of base-10 blocksS. Match two addends, both visual and numeric, to reach a sum of 10T. Match two addends, both visual and numeric, to reach a sum of 10U. Match two addends to reach a sum of 10V. Identify a missing addend in equations with a sum of 10 and their turnaround factsW. Identify a base-10 block model to represent an equation with a sum of 10 and identify the missing addendX. Record a number line scenario as an addition equation to 10 and its related subtraction equationY. Add or subtract by moving an object on a number line and solve a related equation that shows addition to or subtraction from 10

Students count on to add 1, 2, or 3 in equations. They use manipulatives, visual models, and even fingers to solve equations.

Students reinforce their understanding of addition within 10 and its underlying concepts as they build more efficient strategies to solve problems. They use addition scenarios with objects, base-10 block patterns, the number line, and equations to reinforce the relationships among fact families. They build upon existing knowledge of composition of numbers 6-10 as they move from the concrete to the abstract.

A. Record a model of base-10 blocks as an addition equationB. Identify a set of base-10 blocks that represents an addition scenario based on objects or an equationC. Use base-10 blocks to represent an addition scenario based on objectsD. Use base-10 blocks to represent an addition scenario based on objects and then record as an equation with a sum of 5, 6, or 7E. Use base-10 blocks to represent an addition scenario based on objects and then record as an equation with a sum of 6 or 7F. Count on by moving an object forward on a number line and identify the sum in an related equationG. Identify a number line model that represents an addition scenario explained in wordsH. Record a number line addition scenario as an equationI. Identify the missing addend in equations paired as turnaround facts with sums of 4, 5, and 6J. Identify the missing addend in equations paired as turnaround facts with sums of 5, 6, and 7K. Identify the missing addend in equations paired as turnaround facts with sums of 6, 7, and 8L. Use base-10 blocks to represent an addition scenario based on objects and then record as an equation with a sum of 8M. Identify the missing addend in equations paired as turnaround facts with sums of 7, 8, and 9N. Use base-10 blocks to represent an addition scenario based on objects and then record as an equation with a sum of 9O. Identify the missing addend in equations paired as turnaround facts with sums of 9 and 10P. Match two addends to reach a sum of 10Q. Solve addition equations within 10

Students reinforce thier understanding of subtraction within 10 and its underlying concepts as they build more efficient strategies to solve problems. They explore the relationship between addition and subtraction and work increasingly with 0 as a subtrahend and difference. They use subtraction scenarios with objects, base-10 block patterns, the number line, and equations to reinforce the relationships among fact families. They build upon existing knowledge of composition of numbers 6-10 as they move from the concrete to the abstract.

A. Record a scenario based on objects as a subtraction equation with a difference of 0B. Record a number line scenario as a -0 subtraction equationC. Record a number line scenario as a subtraction equation with a difference of 0D. Identify missing numbers in subtraction equations with a difference of 0E. Subtract by moving an object backward on a number line and solve a related equation that shows subtraction from 3, 4, or 5F. Record a number line scenario as an equation that shows subtraction from 3, 4, or 5G. Solve equations based on a model of base-10 blocks to subtract 1 or all but 1H. Record a model of base-10 blocks as two related equations that show subtraction from 6I. Subtract by moving an object backward on a number line and solve a related equation that shows subtraction from 4, 5, or 6J. Record a number line scenario to 6 as related addition and subtraction equationsK. Record a model of base-10 blocks as two related equations that show subtraction from 7L. Subtract by moving an object backward on a number line and solve a related equation that shows subtraction within 7M. Record a number line scenario as an equation that shows subtraction from 7N. Record a model of base-10 blocks as two related equations that show subtraction from 8O. Subtract by moving an object backward on a number line and solve a related equation that shows subtraction from 8P. Record a number line scenario as equations that show addition to 8 and then subtraction from 8Q. Record a model of base-10 blocks as two related equations that show subtraction from 9R. Subtract by moving an object backward on a number line and solve a related equation that shows subtraction from 9S. Identify missing numbers in subtraction equations from 9T. Record a number line scenario as equations that show addition to 9 and then subtraction from 9U. Record a model of base-10 blocks as two related equations that show subtraction from 10

Students reinforce the relationship between addition and subtraction and the relationships among fact families. They use familiar objects, base-10 blocks, the number line, and equations to explore the composition of numbers 3-10. They build speed and accuracy with all +/- facts within 10.

A. Record a model of base-10 blocks as an equation that show subtraction from 7, 8, or 9B. Identify a set of base-10 blocks that represents a subtraction scenario based on objects or an equationC. Use base-10 blocks to represent a subtraction scenario based on objects and record it as an equation that shows subtraction from 3, 4, or 5D. Identify a number line model that represents a subtraction scenario given in wordsE. Identify missing numbers in subtraction equations from 4, 5, and 6F. Identify missing numbers in subtraction equations from 6 and 7G. Identify missing numbers in subtraction equations from 7 and 8H. Identify missing numbers in subtraction equations from 8 and 9I. Identify missing numbers in subtraction equations from 9 and 10J. Solve subtraction equations within 10K. Record number line scenarios as addition or subtraction equations that use 0

### MODULE 2. Introduction to Place Value Through Addition and Subtraction Within 20

Students reinforce their understanding of "tens” and "ones” while sorting, counting, adding, and subtracting. They use objects, base-10 blocks, the number line, and a ten-frame. They practice various strategies to add across 10 and increase fluency with +/- facts within 20.

A. Group base-10 rods and cubes into a ten and ones and determine totalsB. Determine the number of tens and ones using objects or base-10 blocks grouped into a ten-frame or a rodC. Determine the total number of objects or base-10 blocks grouped into a ten and onesD. Determine the number of tens and ones using objects or base-10 blocks grouped into a ten-frame or a rod and then determine the totalE. Determine the total number of objects by filling a ten-frameF. Represent a teen number using a rod and cubesG. Determine a missing teen number on a number line and identify its written nameH. Position numbers to 19 on a number lineI. Solve +/- 1 equations in the teens with and without a number line modelJ. Determine the 2-digit total of aligned objectsK. Complete a series of related equations to add across 10 based on a model of base-10 blocksL. Solve addition equations across 10 using a number lineM. Add three addends by first matching two addends to make a 10 based on a visual modelN. Solve +/- equations in the teensO. Add three addends by first matching two addends to make a 10 based on a model of base-10 blocksP. Solve +9 equations with and without a model of base-10 blocksQ. Solve +8 equations with and without a model of base-10 blocksR. Model and solve addition equations across 10 using base-10 blocks by making a tenS. Model and solve addition equations across 10 using base-10 blocks by splitting an addend into two componentsT. Model and solve addition equations across 10 using base-10 blocks by adding on to a 10U. Solve addition equations in the teens and across 10V. Solve addition equations across 10 using a number lineW. Identify addends to reach a given sum of 11, 12, or 13X. Solve addition equations across 10 using a number lineY. Solve addition equations across 10 by splitting an addend into two components with and without a number line modelZ. Solve addition equations across 10AA. Identify addends to reach a given sum of 14, 15, or 16AB. Solve "almost doubles" addition equations by adding doubles plus 1 moreAC. Identify equations with "almost doubles” addends and solveAD. Determine a missing addend to reach a sum of 20 with and without a model of base-10 blocksAE. Identify addends to reach a given sum of 17, 18, or 19

Students explore place value as they add and subtract across 10. They use multiple representations (objects, ten-frame, number line, base-10 blocks, and equations) to move from the concrete to the abstract. Students build their fluency with +/- facts within by reinforcing the underlying concept of exchanging and using the strategy of "resting" on 10. They also solve +/- problems in which all ones or all tens are added or subtracted.

A. Complete a series of related equations to subtract across 10 based on a model of base-10 blocksB. Solve subtraction equations across 10 using a number lineC. Model and solve subtraction equations across 10 using objects in a ten-frameD. Solve +/- equations within 20 with and without a model of base-10 blocksE. Record a model of objects or base-10 blocks as an equation that adds or subtracts all tens or all onesF. Complete equations that add or subtract all tens or all ones with and without a model of base-10 blocksG. Model and solve addition equations in the teens by adding ones to ones using base-10 blocksH. Model and solve subtraction equations in the teens by subtracting ones from ones using base-10 blocksI. Solve +/- equations that use a teen number and a single-digit numberJ. Model and solve +/- equations across 10 using base-10 blocksK. Model and solve subtraction equations across 10 using base-10 blocks (part 1)L. Model and solve subtraction equations across 10 using base-10 blocks (part 2)M. Solve subtraction equations within 20N. Solve subtraction equations across 10 by splitting a subtrahend into two components with and without a number line modelO. Solve subtraction equations across 10P. Solve addition equations across 10 by splitting an addend into two components based on a model of base-10 blocksQ. Model and solve subtraction equations across 10 using base-10 blocksR. Solve addition equations across 10S. Solve subtraction equations across 10T. Solve subtraction equations across 10

### MODULE 4. Place Value, Comparison, Addition and Subtraction to 40

Students further explore the concept that a two-digit number is composed of a round number (tens) plus ones. They determine totals, decompose numbers, add, and subtract. Students use familiar objects, base-10 blocks, ten-frames, equations, and number names along with place value cards. Note that the "coins” used are to reinforce the concept of tens, fives, and ones, not coin recognition.

A. Add tens to 40 based on a model of base-10 blocksB. Determine totals to 90 by counting objects in ten-framesC. Determine totals to 90 by counting base-10 rodsD. Determine totals by counting objects with or without filling ten-framesE. Identify 2-digit round numbersF. Determine totals to 40 by counting tens and ones using base-10 blocksG. Determine totals to 40 by counting tens and ones using base-10 blocksH. Determine totals to 40 by counting tens and ones using objects in ten-framesI. Determine totals by counting tens and ones using scattered and dissimilar objects in ten-framesJ. Determine the total of a set of "coins" using 10s, 5s, and 1sK. Represent numbers to 40 using base-10 rods and cubesL. Determine a missing number to 40 on a number line and identify its written nameM. Decompose 2-digit numbers to 40 into tens and ones with and without a model of base-10 blocksN. Decompose 2-digit numbers to 40 into a round 2-digit number plus onesO. Identify names of numbers to 40 on a number lineP. Solve equations that add or subtract 1 or 10 with and without modeling with base-10 blocks

Students compare and order numbers, reinforcing their understanding of place value and sequence. They use familiar base-10 blocks, number line, and begin using inequality signs.

A. Align a scattered set of numbered, non-sequential objects in ascending orderB. Compare two sets of scattered objects using > or < with a visual aidC. Align a scattered set of numbered, non-sequential objects in descending orderD. Determine missing round numbers on a number line numbered by tensE. Compare two 2-digit numbers using >, <, or = with and without a model of base-10 blocksF. Position 2-digit numbers on a number lineG. Compare two 2-digit numbers using >, <, or = with and without a number line

Students work with round numbers to reinforce place value understanding of 10 more and 10 less. They use equations and the number line to solve addition problems and counting patterns.

Students rely on growing understanding of exchanging to model and solve two-digit addition problems with exchanging using familiar models and new strategies.

A. Determine the closest round numbers (greater than and less than) to a given 2-digit numberB. Determine a missing addend to add up to the next round number with and without a model of base-10 blocksC. Model and solve 2-digit addition equations within 40 using base-10 blocksD. Model and solve 2-digit addition equations within 40 using base-10 blocksE. Solve 2-digit addition equations within 40 with and without modeling with base-10 blocksF. Determine a missing addend to add up to the next round number and solve the equationG. Model and solve 2-digit addition equations with exchanging using base-10 blocksH. Model and solve 2-digit addition equations with exchanging using base-10 blocksI. Model and solve 2-digit addition equations with exchanging by adding on a ten and then ones using base-10 blocksJ. Solve 2-digit addition equations with exchanging by adding tens and ones separatelyK. Model and solve 2-digit addition equations with exchanging by adding tens and ones separately using base-10 blocksL. Model and solve 2-digit addition equations with exchanging using base-10 blocks

### MODULE 6. Place Value, Comparison, Addition and Subtraction to 100

Students use familiar representations (objects, ten-frames, base-10 blocks, number line, place value cards, number names, and equations) to extend their place value understanding to higher numbers within 100. They begin building their mental model of the hundred chart by understanding the relationship between numbers in columns and rows. They reinforce the understanding that 2-digit numbers are composed of a round number (or tens) plus ones.

A. Determine a missing round number to 100 on a number line and identify its written nameB. Position round numbers, in both digits and words, on a vertical number lineC. Determine 2-digit totals based on base-10 blocks and place value cardsD. Determine 2-digit totals of objects in ten-frames or base-10 blocksE. Determine totals by counting objects with or without filling ten-framesF. Represent a given two-digit number with base-10 blocksG. Identify 2-digit round numbersH. Decompose 2-digit numbers into a round number plus onesI. Determine 2-digit totals of base-10 blocks by counting tens and onesJ. Determine totals by counting tens and ones using scattered and dissimilar objects in ten-framesK. Decompose 2-digit numbers into tens and ones with and without a model of base-10 blocksL. Solve +/- 1 and +/- 10 equations with and without a model of base-10 blocksM. Count forward and backward within a ten on a number lineN. Align a scattered set of numbered, non-sequential objects in ascending orderO. Count forward and backward across a ten on a number lineP. Determine the closest round numbers to a given 2-digit number and identify the one that is closer with and without a number lineQ. Align a scattered set of numbered, non-sequential objects in descending orderR. Compare 2-digit totals with a set of 10, 5, and 1 "coins"S. Identify missing numbers on a hundred chartT. Identify 10 less, 10 more, 1 less, and 1 more on a hundred chart with limited numberingU. Identify missing numbers in columns on a hundred chart with limited numberingV. Identify 10 more or 1 more on a hundred chart with limited numberingW. Solve equations that add or subtract a round number using a hundred chartX. Complete and solve equations that add or subtract a round number using a hundred chartY. Identify missing numbers on a hundred chart and decompose into tens and onesZ. Count forward across 100 and beyond 100 on a number lineAA. Count backward across 100 and beyond 100 on a number lineAB. Identify a missing three-digit number on a number line and its written nameAC. Determine totals of objects in ten-frames beyond 100AD. Count base-10 rods beyond 100AE. Determine totals beyond 100 using a base-10 flat, rods, and cubesAF. Determine totals beyond 100 using objects in ten-frames

Students use familiar base-10 blocks, number line, and equations to work with round numbers. They rely on counting, place value, and addition/subtraction skills to solve problems. Students use familiar manipulatives to solve two-digit addition problems with and without exchanging. They also solve two-digit subtraction problems without exchanging.

A. Solve equations by adding or subtracting 10 to or from a round numberB. Add and subtract round numbers with and without a model of base-10 blocksC. Record and solve equations that add a round number to a 2-digit number based on a model of base-10 blocksD. Record and solve equations that subtract a round number from a 2-digit number based on a model of base-10 blocksE. Model and solve equations that add a round number to a 2-digit number using base-10 blocksF. Model and solve addition equations that add a single-digit number to a two-digit number using a number lineG. Model and solve equations that add two 2-digit numbers using base-10 blocksH. Model and solve equations that add two 2-digit numbers using base-10 blocksI. Model and solve equations that add two 2-digit numbers using base-10 blocksJ. Add a single-digit number to a two-digit number with exchanging based on a model of objects in ten-framesK. Model and solve 2-digit addition equations with and without exchanging using base-10 blocksL. Model and solve 2-digit addition equations with and without exchanging using base-10 blocksM. Solve 2-digit addition equations with and without exchanging based on a model of base-10 blocksN. Solve 2-digit addition equations with and without exchanging by adding tens and ones separatelyO. Solve 2-digit addition equations with and without exchanging by adding tens and ones separately using base-10 blocks