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Using Models to Add Up to 20: Bar and Part-Whole Models

1.G.A.1

Sorting 2D shapes by a single attribute

Sorting 3D shapes by a single attribute

Composing 3D shapes

1.G.A.2

Using pattern blocks to create composite shapes

1.G.A.3

Sharing & partition up to 10

Sharing and Partitioning — Up to 10

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Remainders from division up to 10

Division Sharing and Remainders (Up to 10)

Grouping numbers up to 10

Grouping Numbers — Up to 10

Composing 2D shapes

1.MD.A.1

Comparing lengths

1.MD.A.2

Estimating lengths in units

Long and short

1.MD.B.3

Reading the clock

1.MD.C.4

Interpreting graphs

Creating graphs

1.NBT.A.1

Converting dot grids to numbers up to 100

Counting Dots in a Grid — Up to 100

Missing values in a number grid up to 100

Counting on a Number Grid — Up to 100

Counting values in a number grid up to 100

Number sequences with 1,2,3,5,10

Counting Patterns with Jumps — Up to 100

Number Sequences — Up to 100

Number Sequences with 2,3,5,10 — Up to 100

Counting Forwards with Jumps — Up to 100

Counting Forwards — Up to 100

Number Sequences Count by fives — Up to 100

Number Sequences Count by tens — Up to 100

Number Sequences Count by threes — Up to 100

Number Sequences Count by twos — Up to 100

Ordinal numbers

Count to the Ordinal — Up to 10

Count to the Ordinal — Up to 20

Writing numbers as words

Number to Word Name — Up to 20

Writing words as numbers

Word Name to Number — Up to 20

1.NBT.B.2

Counting the value of a digit up to 99

Counting with Tens — Up to 99

Counting with Tens — Up to 50

Place values of digits up to 99

Tens and Ones — Up to 99

Numeral expanding up to 99

Place Value Numeral Expansion — Up to 99

Place Value Numeral Expansion — Up to 50

Identifying tens and ones

Identifying Ones — Up to 99

Identifying Tens — Up to 99

1.NBT.B.3

Comparing values up to 99

Comparing Models — Up to 99

Comparing Numbers — Up to 99

1.NBT.C.4

Adding with digits up to 20

Add By Digits — Up to 20

Adding digits up to 100

Add By Digits — Up to 100

Adding with doubles up to 100

Adding Doubles — Up to 100

Using counting to add digits up to 100

Adding By Counting — Up to 100

Addition strategies

Adding By Separation — Up to 100

Adding with 3 numbers up to 100

Using number line to add up to 100

Addition facts up to 100

Addition with regrouping up to 100

Add By  Regrouping — Up to 100

Using models to add up to 100

Add Using Block Models — Up to 100

Addition tables up to 100

Add By Number Table — Up to 100

Completing addition statements up to 100

Fill in the Blank — Up to 100

Addition word problems up to 100

Addition Word Problems — Up to 100

1.NBT.C.5

Adding numbers with 5s and 10s

Adding Five — Up to 20

Adding Ten — Up to 20

Using mental math to subtract up to 20

Mental math word problems

1.NBT.C.6

Subtracting with the number zero

Subtract By Zero — Up to 20

Subtracting by 10s

Subtract By Tens — Up to 100

Subtracting with place value models up to 100

Subtract Using Place Blocks — Up to 100

Subtraction facts up to 100

Subtraction Properties — Up to 100

Completing subtraction images & statements

Subtracting by jumping up to 100

Using objects to subtract up to 100

Subtract By Objects — Up to 100

1.OA.A.1

Using number line to add up to 20

Using models to add up to 20

Add Using Block Models — Up to 20

Addition word problems up to 20

Addition Word Problems — Up to 20

Subtracting with digits up to 20

Subtract By Digits — Up to 20

Using number line to subtract up to 20

Subtracting with objects up to 20

Subtract By Objects — Up to 20

Subtraction word problems up to 20

Subtraction Word Problems — Up to 20

Subtraction Word Problems (Up to 20)

1.OA.A.2

Adding with 3 numbers up to 20

Add Three Numbers — Up to 20

1.OA.B.3

Subtraction facts up to 20

Subtraction Properties — Up to 20

Verifying subtraction statements

Subtraction Language

Using mental math to add up to 20

1.OA.B.4

Counting forward to subtract up to 20

Count Forwards to Subtract — Up to 20

Completing subtraction statements up to 20

Subtraction Fill in the Blank — Up to 20

Understanding the subtraction sign

1.OA.C.5

Using counting to add digits up to 20

Add By Counting — Up to 20

1.OA.C.6

Addition facts up to 20

Addition Facts — Up to 20

1.OA.D.7

Verifying addition statements

Addition True or False Statements — Up to 20

1.OA.D.8

Complete the addition statement up to 5

Addition Fill in the Blank — Up to 5

Completing the addition statement up to 10

Fill in the Blank — Up to 10

Complete the subtraction statement up to 5

Fill in the Blank — Up to 5

Complete the subtraction statement up to 10

Addition with regrouping up to 20

Add By  Regrouping — Up to 20

Add By Regrouping — Up to 20

Parent Assignments

Challenge Zone

Foundation Review

1st Grade Math

sample

math

This lesson shows how to use bar models and part-whole models to add numbers up to 20. You will learn how a bar splits into labeled parts, how a part-whole diagram connects two parts to a whole, and how both models help you solve addition problems and word problems with clear pictures instead of just numbers.

Using Models to Add Up to 20 | StudyPug

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Overview

Using Models to Add Up to 20

What You'll Learn

Recognize how a bar model splits a total bar into two labeled sections to represent an addition fact

Draw a part-whole model with one whole circle and two connected part circles, such as \( 9 + 6 = 15 \)

Check that swapping the order of addends still gives the same total, like \( 6 + 9 = 15 \)

Apply bar models to word problems by matching a known part and the total to find the missing part

Compare bar models and part-whole models to see two different pictures of the same addition fact

What You'll Practice

Adding numbers up to 20 using visual block representations

Identifying tens and ones in block model sums

Using base-ten blocks to solve addition problems

Why This Matters

This Unit Includes

Practice exercises

Learning resources

Skills

Addition

Block Models

Place Value

Tens and Ones

Base-Ten

Visual Math