Standard 1 : Represent and solve problems involving addition and subtraction. (Major Cluster) (Archived)



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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.

General Information

Number: MAFS.1.OA.1
Title: Represent and solve problems involving addition and subtraction. (Major Cluster)
Type: Cluster
Subject: Mathematics - Archived
Grade: 1
Domain-Subdomain: Operations and Algebraic Thinking

Related Standards

This cluster includes the following benchmarks
Code Description
MAFS.1.OA.1.1: Use addition and subtraction within 20 to solve word problems1 involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem (1Students are not required to independently read the word problems.)
MAFS.1.OA.1.2: Solve word problems that call for addition of three whole numbers whose sum is less than or equal to 20, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem.


Related Access Points

This cluster includes the following access points.

Access Points

Access Point Number Access Point Title
MAFS.1.OA.1.AP.1a: Use base ten blocks to model simple addition or subtraction equations within 20 based upon a word problem.
MAFS.1.OA.1.AP.1b: Solve addition and subtraction word problems within 20.
MAFS.1.OA.1.AP.1c: Solve one-step addition and subtraction word problems where the change or result is unknown (4 + _ = 7) or (4 + 3 = __), within 20 using objects, drawings or pictures.
MAFS.1.OA.1.AP.2a: Solve word problems that include combining three quantities whose sum is less than 10 using objects or drawings.


Related Resources

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

Original Student Tutorials

Name Description
A Birthday Party: Addition:

Join Juliana for her 8th birthday party! Learn to solve addition problems within 20 using objects and creating drawings in this interactive student tutorial. 

Addition Word Problems Around the Zoo - Part 1:

Help Mario and Gretchen model and write equations for addition word problems, in this interactive tutorial.

This is part 1 in a 3-part series. Click below to explore the other tutorials in the series. 
Part 1: Addition Word Problems Around the Zoo (this one)
Part 2: Subtraction Word Problems Around the Zoo
Part 3: Word Problems Around the Zoo

Subtraction Word Problems Around the Zoo - Part 2:

Help Mario and Gretchen model and write equations for subtraction word problems in this interactive tutorial.

This is part 2 in a 3-part series. Click below to explore the other tutorials in the series. 

Part 1: Addition Word Problems Around the Zoo

Part 2: Subtraction Word Problems Around the Zoo (this one)

Part 3: Word Problems Around the Zoo

Word Problems Around the Zoo - Part 3:

Help Gretchen and Mario differentiate between addition and subtraction word problems during their field trip to the zoo in this interactive tutorial.

This is part 3 in a 3-part series. Click below to explore the other tutorials in the series. 
Part 1: Addition Word Problems Around the Zoo
Part 2: Subtraction Word Problems Around the Zoo
Part 3: Word Problems Around the Zoo (this one)

Formative Assessments

Name Description
Take From (Result Unknown):

Students are asked to solve two Take From (Result Unknown) word problems using pencil and paper or other appropriate manipulatives.

Add To (Change Unknown) Word Problems:

Students are asked to solve two Add To (Change Unknown) word problems using pencil and paper or other appropriate manipulatives.

Take From (Start Unknown):

Students are asked to solve two Take From (Start Unknown) word problems using pencil and paper or other appropriate manipulatives.

Compare (Smaller Unknown) Word Problems:

Students are asked to solve two Compare (Smaller Unknown) word problems using pencil and paper or other appropriate manipulatives.

Adding Three Whole Numbers:

Students are asked to solve word problems that call for addition of three addends.

How Many M&M's?:

Students are asked to solve two Compare problems presented using the terms more than and fewer than.

How Many More Stickers?:

Students are asked to solve a Compare (Difference Unknown) word problem using pencil and paper or other appropriate manipulatives.

Compare (Difference Unknown) Word Problems:

Students are asked to solve two Compare (Difference Unknown) word problems within 20 using pencil and paper or other appropriate manipulatives.

Compare (Bigger Unknown) Word Problems:

Students are asked to solve two Compare (Bigger Unknown) problems presented using the terms more than and fewer than.

Trains and Jump Ropes:

Students are asked to solve two Compare problems presented using the terms more than and fewer than.

Tickets to the School Carnival:

Students are asked to solve word problems that have three addends.

The Cupcake Problem:

Students are asked to solve two Take From (Start Unknown) word problems using pencil and paper or other appropriate manipulatives.

Take From (Change Unknown) Word Problems:

Students are asked to solve two Take From (Change Unknown) word problems using pencil and paper or other appropriate manipulatives.

Red Birds and Blue Birds:

Students are asked to solve two Put Together/Take Apart (Addend Unknown) word problems using pencil and paper or other appropriate manipulatives.

Put Together/Take Apart (Total Unknown):

Students are asked to solve two Put Together/Take Apart (Total Unknown) word problems using pencil and paper or other appropriate manipulatives.

Put Together/Take Apart (Both Addends Unknown) Word Problems:

Students are asked to solve a Put Together/Take Apart (Both Addends Unknown) word problem using pencil and paper or other appropriate manipulatives.

Put Together/Take Apart (Addend Unknown) Word Problem:

Students are asked to solve two Put Together/Take Apart (Addend Unknown) word problems using pencil and paper or other appropriate manipulatives.

More Add To (Change Unknown) Problems:

Students are asked to solve two Add To (Change Unknown) word problems using pencil and paper or other appropriate manipulatives.

Bean Bag Toss:

Students are asked to solve word problems that call for addition of three addends.

Canned Food Drive:

Students are asked to solve word problems that call for addition of three addends.

Add To (Start Unknown) Word Problems:

Students are asked to solve two Add To (Start Unknown) word problems using pencil and paper or other appropriate manipulatives.

Add To (Result Unknown) Word Problems:

Students are asked to solve two Add To (Result Unknown) word problems using pencil and paper or other appropriate manipulatives.

Fish in a Pond:

Students solve a Take From (Start Unknown) word problem.

Birds on a Branch:

Students are asked to solve two Take From (Change Unknown) word problems using pencil and paper or other appropriate manipulatives.

Instructional Technique

Name Description
Video: Differentiating in Math Using Computer Games: This video show a teacher using a variety of tools and software programs to help the students have a better understanding of math. By incorporating technology in the classroom, the teacher can spend time with students who struggle to understand the concept while others can continue to pass levels in the games to move on to the next concept.

Lesson Plans

Name Description
Aquarium Addition:

In this lesson, the students' learning is focused on using real world word problems to solve adding to problems with the result unknown. The students will be focusing on using manipulatives to create drawings to help them solve these problems. Furthermore, the students will be required to write the mathematical equations they used to solve the problem.

An Amazing Sunny Day Story- Ways to Make 10:

In this lesson, students are shown a picture of a beach scene. They are asked to identify groups of ten within the picture. There are three pre-determined groups of ten with noticeable parts (people, starfish, coconuts). Using the picture, students will identify a group of ten, create an addition equation for the parts, and transfer the equation into sentences to tell the story.

Pete's Groovy Button Problems:

This lesson uses a familiar character, Pete the Cat, that proposes a comparison problem for students to explore.

Fill It Up - Piñatas!:

This MEA focuses on students' problem solving skills. After reading a story about what is in a piñata, students are asked to help a company find the best way to fill a piñata. It focuses on math skills, including counting and adding three numbers to make 20.

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.

Addition Stories at the Food Store:

In this lesson, students will solve addition whole number word problems (within 20) with real-world scenarios by using manipulatives, drawings, or equations.

Three's a Charm: 3-Number Addition:

In this lesson, students will use properties of operations to solve word problems that will require them to add 3 whole numbers whose sum is less than or equal to 20.

Cookie Subtraction:

In this lesson, the teacher shares the book, "Mmm... Cookie Simple Subtraction". The students follow along by representing the problems in the book with cookie manipulatives and recording the equations for each problem. The lesson incorporates a variety of subtraction problem types.

Pizza Party Planners:

In the story Curious George and the Pizza Party (by Rey, H.A., and Margret Rey), Curious George attends a pizza party for a friend. Now the man with the yellow hat wants to plan his own pizza party for Curious George, but he needs the students' help. Help the man with the yellow hat use the data about the different pizza companies in his area to rank the options from best to worst, considering the toppings offered, crust options, prices, and customer satisfaction ratings. Then the students will use the special promotions from each pizza company and their math skills to figure out which pizza place offers the best deals. Each team of students will write letters to the man with the yellow hat explaining how they ranked the companies and why they chose their rankings to help him choose the best pizza for George's party.

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.

Quilt Squares:

Students will use pattern blocks to create a quilt square for the Quick Quilters Society. They will have to consider information on a data chart to help them create their squares. They will have to add up the cost to make their square, too.

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.

Making 11:

In this lesson students use manipulatives to discover how to build the number 11. This lesson is great for novice teachers or for teachers who have changed to 1st grade.

Word Problem Lesson:

In this lesson, students will be able to solve "compare" word problems.

Solving Word Problems Using Story Structure:

In this lesson, students will learn how to use their knowledge of beginning, middle, and end to solve word problems that include result unknown, change unknown, and start unknown. They will learn how to use a modified story map to write an equation to represent the problem.

Mission: Addition – Adding 3 Numbers:

This activity introduces and provides practice for adding three whole numbers and includes three center activities for independent practice.

Out of Sight Missing Addends:

Students will learn how to use manipulatives to solve missing addends in math problems.

Problem-Solving Tasks

Name Description
Finding a Chair:

These problems explicitly describe one-to-one correspondences without using comparison language. Such problems are easier for students to solve than problems that use comparison language such as "How many more?" or "How many fewer."

Field Day Scarcity:

The purpose of this task is for students to relate addition and subtraction problems to money in a context that introduces the concept of scarcity. Scarcity occurs when you want or need more than you can have. Students may want to buy everything but will discover that it not possible with only $7 and they will have to make decisions.

Daisies in vases:

This instructional task asks students to consider all the decompositions of a number into two addends. Because first grade students may have trouble reading this task even thought they are intellectual capable of working on this problem, it will help if the teacher reads the prompt to the students and then has them work together in pairs or small groups.

Boys and Girls, Variation 2:

This task represents the Put Together/Take Apart with both addends unknown context for addition and subtraction. Once a student finds one correct answer, he/she can be encouraged to find another. Ask the student to use objects, pictures, or equations to represent each answer.

Boys and Girls, Variation 1:

Students may use either addition or subtraction to solve these types of word problems, with addition related to the action of putting together and subtraction related to the action of taking apart. Depending on how students think about these word problems, either is appropriate for the "addend unknown" problems. Seeing it both ways emphasizes the relationship between addition and subtraction.

At the Park:

This task includes three different problem types using the "Add To" context with a discrete quantity.

Maria’s Marbles:

Students benefit from encountering one problem type limited to small numbers and to develop strategies for that type of problem before encountering mixed sets of problems and larger numbers that distract the student from the problem itself. Over time they will be able to distinguish between types of problems in mixed sets and apply the appropriate strategy to solve each.

Measuring Blocks:

In this task, students work in pairs to measure a block using paperclips.

The Pet Snake:

The purpose of this task is for students to gain a better understanding of measurements with the example being the growth of a pet snake.

School Supplies:

This task could be used for either instructional or assessment purposes, depending on where students are in their understanding of addition and how the teacher supports them. The solution shown is very terse; students' solution strategies are likely to be much more varied.

Sharing Markers:

These task types represent the Take From contexts for addition and subtraction. This task includes the three different problem types using the Take From context: result unknown, change unknown, and start unknown. Students need experience and practice with all three types.

Professional Development

Name Description
Johnnie’s Cars - Using Direct Modeling and Counting Strategies to Solve Addition and Subtraction Story Problem Types:

This tutorial will help teachers identify the action in story problems as joining or separating, as well as the direct modeling and counting strategies used by your students to think about and solve them.

Tutorials

Name Description
Exercising gorillas:

In this tutorial video from Khan Academy, a word problem is solved with unit cubes, as well as with a missing addend addition equation and a subtraction equation.

Monkeys for a party:

In this tutorial video from Khan Academy, explore place value relationships with tens and ones within 20.

Result Unknown - Subtraction Word Problem Within 10:

In this tutorial, you will learn how to solve a result unknown word problems: 10 - 2 = ?.



Student Resources

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

Original Student Tutorials

Title Description
A Birthday Party: Addition:

Join Juliana for her 8th birthday party! Learn to solve addition problems within 20 using objects and creating drawings in this interactive student tutorial. 

Addition Word Problems Around the Zoo - Part 1:

Help Mario and Gretchen model and write equations for addition word problems, in this interactive tutorial.

This is part 1 in a 3-part series. Click below to explore the other tutorials in the series. 
Part 1: Addition Word Problems Around the Zoo (this one)
Part 2: Subtraction Word Problems Around the Zoo
Part 3: Word Problems Around the Zoo

Subtraction Word Problems Around the Zoo - Part 2:

Help Mario and Gretchen model and write equations for subtraction word problems in this interactive tutorial.

This is part 2 in a 3-part series. Click below to explore the other tutorials in the series. 

Part 1: Addition Word Problems Around the Zoo

Part 2: Subtraction Word Problems Around the Zoo (this one)

Part 3: Word Problems Around the Zoo

Word Problems Around the Zoo - Part 3:

Help Gretchen and Mario differentiate between addition and subtraction word problems during their field trip to the zoo in this interactive tutorial.

This is part 3 in a 3-part series. Click below to explore the other tutorials in the series. 
Part 1: Addition Word Problems Around the Zoo
Part 2: Subtraction Word Problems Around the Zoo
Part 3: Word Problems Around the Zoo (this one)

Problem-Solving Tasks

Title Description
Finding a Chair:

These problems explicitly describe one-to-one correspondences without using comparison language. Such problems are easier for students to solve than problems that use comparison language such as "How many more?" or "How many fewer."

Daisies in vases:

This instructional task asks students to consider all the decompositions of a number into two addends. Because first grade students may have trouble reading this task even thought they are intellectual capable of working on this problem, it will help if the teacher reads the prompt to the students and then has them work together in pairs or small groups.

Boys and Girls, Variation 2:

This task represents the Put Together/Take Apart with both addends unknown context for addition and subtraction. Once a student finds one correct answer, he/she can be encouraged to find another. Ask the student to use objects, pictures, or equations to represent each answer.

Boys and Girls, Variation 1:

Students may use either addition or subtraction to solve these types of word problems, with addition related to the action of putting together and subtraction related to the action of taking apart. Depending on how students think about these word problems, either is appropriate for the "addend unknown" problems. Seeing it both ways emphasizes the relationship between addition and subtraction.

At the Park:

This task includes three different problem types using the "Add To" context with a discrete quantity.

Maria’s Marbles:

Students benefit from encountering one problem type limited to small numbers and to develop strategies for that type of problem before encountering mixed sets of problems and larger numbers that distract the student from the problem itself. Over time they will be able to distinguish between types of problems in mixed sets and apply the appropriate strategy to solve each.

The Pet Snake:

The purpose of this task is for students to gain a better understanding of measurements with the example being the growth of a pet snake.

School Supplies:

This task could be used for either instructional or assessment purposes, depending on where students are in their understanding of addition and how the teacher supports them. The solution shown is very terse; students' solution strategies are likely to be much more varied.

Sharing Markers:

These task types represent the Take From contexts for addition and subtraction. This task includes the three different problem types using the Take From context: result unknown, change unknown, and start unknown. Students need experience and practice with all three types.

Tutorials

Title Description
Exercising gorillas:

In this tutorial video from Khan Academy, a word problem is solved with unit cubes, as well as with a missing addend addition equation and a subtraction equation.

Monkeys for a party:

In this tutorial video from Khan Academy, explore place value relationships with tens and ones within 20.

Result Unknown - Subtraction Word Problem Within 10:

In this tutorial, you will learn how to solve a result unknown word problems: 10 - 2 = ?.



Parent Resources

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

Problem-Solving Tasks

Title Description
Finding a Chair:

These problems explicitly describe one-to-one correspondences without using comparison language. Such problems are easier for students to solve than problems that use comparison language such as "How many more?" or "How many fewer."

Field Day Scarcity:

The purpose of this task is for students to relate addition and subtraction problems to money in a context that introduces the concept of scarcity. Scarcity occurs when you want or need more than you can have. Students may want to buy everything but will discover that it not possible with only $7 and they will have to make decisions.

Daisies in vases:

This instructional task asks students to consider all the decompositions of a number into two addends. Because first grade students may have trouble reading this task even thought they are intellectual capable of working on this problem, it will help if the teacher reads the prompt to the students and then has them work together in pairs or small groups.

Boys and Girls, Variation 2:

This task represents the Put Together/Take Apart with both addends unknown context for addition and subtraction. Once a student finds one correct answer, he/she can be encouraged to find another. Ask the student to use objects, pictures, or equations to represent each answer.

Boys and Girls, Variation 1:

Students may use either addition or subtraction to solve these types of word problems, with addition related to the action of putting together and subtraction related to the action of taking apart. Depending on how students think about these word problems, either is appropriate for the "addend unknown" problems. Seeing it both ways emphasizes the relationship between addition and subtraction.

At the Park:

This task includes three different problem types using the "Add To" context with a discrete quantity.

Maria’s Marbles:

Students benefit from encountering one problem type limited to small numbers and to develop strategies for that type of problem before encountering mixed sets of problems and larger numbers that distract the student from the problem itself. Over time they will be able to distinguish between types of problems in mixed sets and apply the appropriate strategy to solve each.

Measuring Blocks:

In this task, students work in pairs to measure a block using paperclips.

The Pet Snake:

The purpose of this task is for students to gain a better understanding of measurements with the example being the growth of a pet snake.

School Supplies:

This task could be used for either instructional or assessment purposes, depending on where students are in their understanding of addition and how the teacher supports them. The solution shown is very terse; students' solution strategies are likely to be much more varied.

Sharing Markers:

These task types represent the Take From contexts for addition and subtraction. This task includes the three different problem types using the Take From context: result unknown, change unknown, and start unknown. Students need experience and practice with all three types.

Tutorials

Title Description
Exercising gorillas:

In this tutorial video from Khan Academy, a word problem is solved with unit cubes, as well as with a missing addend addition equation and a subtraction equation.

Monkeys for a party:

In this tutorial video from Khan Academy, explore place value relationships with tens and ones within 20.

Result Unknown - Subtraction Word Problem Within 10:

In this tutorial, you will learn how to solve a result unknown word problems: 10 - 2 = ?.