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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.
Standard 3 : Use place value understanding and properties of operations to add and subtract. (Major Cluster)Archived
Cluster Standards
This cluster includes the following benchmarks.
Visit the specific benchmark webpage to find related instructional resources.
- MAFS.1.NBT.3.4 : Add within 100, including adding a two-digit number and a one-digit number, and adding a two-digit number and a multiple of 10, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Understand that in adding two-digit numbers, one adds tens and tens, ones and ones; and sometimes it is necessary to compose a ten.
- MAFS.1.NBT.3.5 : Given a two-digit number, mentally find 10 more or 10 less than the number, without having to count; explain the reasoning used.
- MAFS.1.NBT.3.6 : Subtract multiples of 10 in the range 10-90 from multiples of 10 in the range 10-90 (positive or zero differences), using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.
Cluster 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
Cluster Access Points
This cluster includes the following 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 = ).
Cluster Resources
Vetted resources educators can use to teach 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.
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.
- 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)
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.
- Hundreds Chart: A printable hundreds chart featuring a 10x10 table numbered 1 to 100. (found on Illuminations website under "Trading for Quarters")
Formative Assessments
- Pencils For School: Students solve a word problem by subtracting a multiple of 10 from a multiple of 10.
- Subtracting Ten: Students subtract 10 from 50 and explain their strategies.
- Subtracting Multiples of Ten: Students find the difference between two multiples of 10.
- Subtracting Forty: Students subtract 40 from 80 using linking cubes as a model.
- Subtract Ten: Students mentally subtract ten from a two-digit number.
- Pages in a Book: Students are asked to solve a word problem by mentally subtracting 10.
- Packages of Pencils: Students subtract a multiple of 10 from a multiple of 10.
- Muffins: Students add a one-digit number to a two-digit number that requires composing a ten.
- Keisha’s Shells: Students mentally add ten to a given number of shells.
- Jumping Rope: Students add a multiple of 10 to a two-digit number.
- First Graders Present on Tuesday: Students solve a problem by mentally adding ten to a two-digit number.
- 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.
- 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.
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.
- Let's Play!: In this Model Eliciting Activity, MEA, students must decide the best way to spend the money earned in a fundraiser 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. MEAs resemble engineering problems and encourage students to create solutions in the form of mathematical and scientific models. Students work in teams to apply their knowledge of science and mathematics to solve an open-ended problem, while considering constraints and tradeoffs. Students integrate their ELA skills into MEAs as they are asked to clearly document their thought process. MEAs follow a problem-based, student centered approach to learning, where students are encouraged to grapple with the problem while the teacher acts as a facilitator. To learn more about MEA’s visit: https://www.cpalms.org/cpalms/mea.aspx
- 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.
- Disappearing Tens: Students learn to subtract multiples of ten from multiples of ten by playing a game.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
Tutorials
- Subtracting 14 - 6: Learn how to subtract 14 - 6 by first thinking about subtracting 2 and 4.
- Adding 8 + 7: Learn how to add 8 + 7 by making a group of ten.
- 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.
- 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.
- 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.
- Understanding place value while subtracting ones: Learn how to subtract 4 from 46 by thinking about place value.
- Understanding place value while adding tens: Learn how to add 23 + 30 by thinking about place value.