Cluster 3: Use place value understanding and properties of operations to add and subtract. (Major Cluster)Archived

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

General Information
Number: MAFS.1.NBT.3
Title: Use place value understanding and properties of operations to add and subtract. (Major Cluster)
Type: Cluster
Subject: Mathematics - Archived
Grade: 1
Domain-Subdomain: Number and Operations in Base Ten

Related Standards

This cluster includes the following benchmarks.

Related Access Points

This cluster includes the following access points.

Access Points

MAFS.1.NBT.3.AP.4a
Use base ten blocks to add single digit numbers that result in two-digit sums.
MAFS.1.NBT.3.AP.4b
Add a two-digit number and a multiple of 10 (e.g., 28 + 30 = ).
MAFS.1.NBT.3.AP.5a
Using base ten blocks, find 10 more or 10 less of a given two-digit number (e.g., what is 10 more than 20? What is 10 less than 30?).
MAFS.1.NBT.3.AP.6a
Using base ten blocks, subtract multiples of 10 (e.g., 30 – 10 = ).

Related Resources

Vetted resources educators can use to teach the concepts and skills in this topic.

Educational Games

Jetstream Riders:A high flying Addition Game:


Fly high in a hot air balloon and catch the jet stream to go faster! Use addition to add hot air, and see if you can win against other students!

This is a single level basic version. Teachers can register for additional levels for practicing subtraction, multipiication and division.

Type: Educational Game

The Game of Tens and Ones: A Lesson for Second Graders:

"This game gives children practice with adding and subtracting ones and tens. Using a special die, two 0 99 charts, and two markers, children play in pairs. During the course of a game, they calculate between 20 and 30 addition and subtraction problems." (from Math Solutions Professional Development)

Type: Educational Game

Educational Software / Tools

Grouping and Grazing:

This interactive Flash applet helps children learn grouping, tally marks, place value, addition, and subtraction. Students help the alien spaceship move cows into corrals by counting by 5s and 10s. They also can apply those grouping skills to practice adding and subtracting two-digit numbers with regrouping. Audio cues and prompts reinforce the user's actions and facilitate counting and the development of math language.

Type: Educational Software / Tool

Hundreds Chart:

A printable hundreds chart featuring a 10x10 table numbered 1 to 100. (found on Illuminations website under "Trading for Quarters")

Type: Educational Software / Tool

Formative Assessments

Pencils For School:

Students solve a word problem by subtracting a multiple of 10 from a multiple of 10.

Type: Formative Assessment

Subtracting Ten:

Students subtract 10 from 50 and explain their strategies.

Type: Formative Assessment

Subtracting Multiples of Ten:

Students find the difference between two multiples of 10.

Type: Formative Assessment

Subtracting Forty:

Students subtract 40 from 80 using linking cubes as a model.

Type: Formative Assessment

Subtract Ten:

Students mentally subtract ten from a two-digit number.

Type: Formative Assessment

Pages in a Book:

Students are asked to solve a word problem by mentally subtracting 10.

Type: Formative Assessment

Packages of Pencils:

Students subtract a multiple of 10 from a multiple of 10.

Type: Formative Assessment

Muffins:

Students add a one-digit number to a two-digit number that requires composing a ten.

Type: Formative Assessment

Keisha’s Shells:

Students mentally add ten to a given number of shells.

Type: Formative Assessment

Jumping Rope:

Students add a multiple of 10 to a two-digit number.

Type: Formative Assessment

First Graders Present on Tuesday:

Students solve a problem by mentally adding ten to a two-digit number.

Type: Formative Assessment

Adding Within 100:

Students add a one-digit number to a two-digit number and are asked to relate the strategy used to a written method.

Type: Formative Assessment

Adding Tens to Numbers:

Students add a multiple of 10 to a two-digit number and are asked to relate the strategy used to a written method.

Type: Formative Assessment

Lesson Plans

"Cross It Out":

This lesson helps first grade students develop their 'counting on' and 'counting back' strategies. It also lays a strong foundation for working with the base ten system. Teach your students how to play the game "Cross It Out" where they will be able to pick any number on a 120 chart that is greater than 11 and less than 110, and then count on 1 more and 10 more than their number and 1 less and 10 less than their number. Once your students have mastered counting on and counting back and know how to skip count by tens you can introduce this game.

Type: Lesson Plan

Let's Play!:

The fundraiser was a huge success! Now students must decide the best way to spend the money to buy new playground equipment.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

Type: Lesson Plan

Finding Ten More and Ten Less with Justen:

In this lesson, students will use manipulatives to decompose two-digit numbers into tens and ones. The students will then find ten more or ten less by adding or subtracting “just ten”. This will also be demonstrated on a hundreds chart.

Type: Lesson Plan

Disappearing Tens:

Students learn to subtract multiples of ten from multiples of ten by playing a game.

Type: Lesson Plan

Adding and Subtracting Ten Challenge:

Students will learn to identify the number that is ten more or ten less than any given two-digit number by playing a game.

Type: Lesson Plan

Adding & Subtracting Ten from Multiples of 10:

In this lesson, students will play a game involving adding ten to, and subtracting ten from, multiples of ten. In the follow-up lesson, Adding and Subtracting Ten Challenge (Resource ID#: 45832), students will use the foundation gained in this lesson to find ten more and ten less than any given two-digit number.

Type: Lesson Plan

Let's Have Fun With Ten More and Ten Less:

In this lesson, students will find ten more and ten less than any given two-digit number on a hundreds chart. They will learn about and identify the patterns that evolve when this task is performed. Then students will mentally find and write ten more and ten less independently.

Type: Lesson Plan

Race to 99:

Students will play a game with tens and ones in a place value chart to ultimately reach 99. Students will physically manipulate unifix cubes or place value blocks to add on one-digit numbers to two-digit numbers, composing new tens when necessary. Students will write equations to represent the addition situations that have been generated.

Type: Lesson Plan

Make a Ten To Make Adding Easy!:

In this lesson students will add two-digit numbers to one-digit numbers by using the "make a ten" strategy. Students will decompose a two-digit number using expanded form, make a ten, and then add. This lesson is an important lesson for students to be able to add greater numbers as they get into higher grade levels.

Type: Lesson Plan

Ten-Hut!:

This lesson allows students to gain insight into how to use place value when adding a two-digit number and a one-digit number. The focus is on students using their bodies, as well as math manipulatives, to solve addition problems within 100 that do not require regrouping.

Type: Lesson Plan

Ten-Hut! Part-2 (Subtraction):

This fun, kinesthetic lesson allows students to gain insight into how to use place value when subtracting a one-digit number from a two-digit number. The focus is on students using their bodies, as well as math manipulatives, to solve subtraction problems within 100 that do not require regrouping.

Type: Lesson Plan

Mentally Adding and Subtracting Ten:

Students will learn strategies to identify ten more and ten less than a given two-digit number. The lesson begins concretely using base-ten blocks, then to the representational using a hundred chart. Ultimately, the lesson moves to the abstract level where students mentally identify ten more and ten less than a given two-digit number.

Type: Lesson Plan

Original Student Tutorial

Ten More, Ten Less:

Explore strategies to add or subtract ten from a two-digit number in this interactive tutorial.

Type: Original Student Tutorial

Tutorials

Subtracting 14 - 6:

Learn how to subtract 14 - 6 by first thinking about subtracting 2 and 4.

Type: Tutorial

Adding 8 + 7:

Learn how to add 8 + 7 by making a group of ten.

Type: Tutorial

Adding two-digit numbers without regrouping:

In this tutorial video from Khan Academy, explore adding two-digits numbers with base ten blocks and connect this to the standard algorithm. The examples do not include regrouping.

Type: Tutorial

Adding by getting to group of 10 first:

In this tutorial video from Khan Academy, explore how making a ten can help to make thinking about addition easier. This video includes an example of adding a one-digit number to a two-digit number by decomposing the one-digit number.

Type: Tutorial

Understanding place value when subtracting tens:

In this video tutorial from Khan Academy, explore the connection between place value and subtraction. This video explains how to solve a subtraction problem with numbers less than one hundred using base ten blocks.

Type: Tutorial

Understanding place value while subtracting ones:

Learn how to subtract 4 from 46 by thinking about place value.

Type: Tutorial

Understanding place value while adding tens:

Learn how to add 23 + 30 by thinking about place value.

Type: Tutorial

Student Resources

Vetted resources students can use to learn the concepts and skills in this topic.

Original Student Tutorial

Ten More, Ten Less:

Explore strategies to add or subtract ten from a two-digit number in this interactive tutorial.

Type: Original Student Tutorial

Educational Game

Jetstream Riders:A high flying Addition Game:


Fly high in a hot air balloon and catch the jet stream to go faster! Use addition to add hot air, and see if you can win against other students!

This is a single level basic version. Teachers can register for additional levels for practicing subtraction, multipiication and division.

Type: Educational Game

Educational Software / Tools

Grouping and Grazing:

This interactive Flash applet helps children learn grouping, tally marks, place value, addition, and subtraction. Students help the alien spaceship move cows into corrals by counting by 5s and 10s. They also can apply those grouping skills to practice adding and subtracting two-digit numbers with regrouping. Audio cues and prompts reinforce the user's actions and facilitate counting and the development of math language.

Type: Educational Software / Tool

Hundreds Chart:

A printable hundreds chart featuring a 10x10 table numbered 1 to 100. (found on Illuminations website under "Trading for Quarters")

Type: Educational Software / Tool

Tutorials

Adding 8 + 7:

Learn how to add 8 + 7 by making a group of ten.

Type: Tutorial

Adding two-digit numbers without regrouping:

In this tutorial video from Khan Academy, explore adding two-digits numbers with base ten blocks and connect this to the standard algorithm. The examples do not include regrouping.

Type: Tutorial

Adding by getting to group of 10 first:

In this tutorial video from Khan Academy, explore how making a ten can help to make thinking about addition easier. This video includes an example of adding a one-digit number to a two-digit number by decomposing the one-digit number.

Type: Tutorial

Understanding place value when subtracting tens:

In this video tutorial from Khan Academy, explore the connection between place value and subtraction. This video explains how to solve a subtraction problem with numbers less than one hundred using base ten blocks.

Type: Tutorial

Understanding place value while subtracting ones:

Learn how to subtract 4 from 46 by thinking about place value.

Type: Tutorial

Understanding place value while adding tens:

Learn how to add 23 + 30 by thinking about place value.

Type: Tutorial

Parent Resources

Vetted resources caregivers can use to help students learn the concepts and skills in this topic.

Educational Software / Tools

Grouping and Grazing:

This interactive Flash applet helps children learn grouping, tally marks, place value, addition, and subtraction. Students help the alien spaceship move cows into corrals by counting by 5s and 10s. They also can apply those grouping skills to practice adding and subtracting two-digit numbers with regrouping. Audio cues and prompts reinforce the user's actions and facilitate counting and the development of math language.

Type: Educational Software / Tool

Hundreds Chart:

A printable hundreds chart featuring a 10x10 table numbered 1 to 100. (found on Illuminations website under "Trading for Quarters")

Type: Educational Software / Tool

Tutorials

Adding two-digit numbers without regrouping:

In this tutorial video from Khan Academy, explore adding two-digits numbers with base ten blocks and connect this to the standard algorithm. The examples do not include regrouping.

Type: Tutorial

Adding by getting to group of 10 first:

In this tutorial video from Khan Academy, explore how making a ten can help to make thinking about addition easier. This video includes an example of adding a one-digit number to a two-digit number by decomposing the one-digit number.

Type: Tutorial

Understanding place value when subtracting tens:

In this video tutorial from Khan Academy, explore the connection between place value and subtraction. This video explains how to solve a subtraction problem with numbers less than one hundred using base ten blocks.

Type: Tutorial

Understanding place value while subtracting ones:

Learn how to subtract 4 from 46 by thinking about place value.

Type: Tutorial

Understanding place value while adding tens:

Learn how to add 23 + 30 by thinking about place value.

Type: Tutorial