Standard 1: Solve addition problems with sums between 0 and 20 and subtraction problems using related facts.

General Information
Number: MA.1.AR.1
Title: Solve addition problems with sums between 0 and 20 and subtraction problems using related facts.
Type: Standard
Subject: Mathematics (B.E.S.T.)
Grade: 1
Strand: Algebraic Reasoning

Related Benchmarks

This cluster includes the following benchmarks.

Related Access Points

This cluster includes the following access points.

Access Points

MA.1.AR.1.AP.1
Apply the commutative property of addition to find a sum of two whole numbers within 20.
MA.1.AR.1.AP.2
Solve addition and subtraction real-world problems within 10 using objects, drawings or equations to represent the problem.

Related Resources

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

Formative Assessments

Turtles in a Pond:

Students are given pairs of word problems that can be solved using the Commutative Property of addition.

Type: Formative Assessment

Take From (Result Unknown):

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

Type: Formative Assessment

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.

Type: Formative Assessment

Take From (Start Unknown):

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

Type: Formative Assessment

Compare (Smaller Unknown) Word Problems:

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

Type: Formative Assessment

Adding Three Whole Numbers:

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

Type: Formative Assessment

How Many M&M's?:

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

Type: Formative Assessment

How Many More Stickers?:

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

Type: Formative Assessment

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.

Type: Formative Assessment

Compare (Bigger Unknown) Word Problems:

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

Type: Formative Assessment

Trains and Jump Ropes:

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

Type: Formative Assessment

Tickets to the School Carnival:

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

Type: Formative Assessment

The Cupcake Problem:

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

Type: Formative Assessment

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.

Type: Formative Assessment

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.

Type: Formative Assessment

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.

Type: Formative Assessment

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.

Type: Formative Assessment

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.

Type: Formative Assessment

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.

Type: Formative Assessment

Lemons and Oranges:

Students are given pairs of word problems that can be solved using the Commutative (and/or Associative) Property of addition.

Type: Formative Assessment

Bean Bag Toss:

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

Type: Formative Assessment

Canned Food Drive:

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

Type: Formative Assessment

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.

Type: Formative Assessment

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.

Type: Formative Assessment

Fish in a Pond:

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

Type: Formative Assessment

Birds on a Branch:

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

Type: Formative Assessment

Lesson Plans

The Whole Part:

Students will participate in a variety of activities and use part-part-whole graphic organizers to discover unknown addends in put together addition situations.

Type: Lesson Plan

Pete's Groovy Button Problems:

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

Type: Lesson Plan

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.

Type: Lesson Plan

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.

Type: Lesson Plan

Show It Another Way:

In this lesson, students will apply properties of addition in order to add three whole numbers. Students will then decompose the sum using tens and ones.

Type: Lesson Plan

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.

Type: Lesson Plan

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.

Type: Lesson Plan

Get Up and Go! with Addition and Subtraction:

The lesson involves students adding and subtracting on a number line while follwoing a story that explains the amount of time taken to get ready in the morning. Students will write addition and subtraction equations to represent the parts of the story.

Type: Lesson Plan

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.

Type: Lesson Plan

What's Missing?:

In this lesson, students learn to solve addition equations that have a missing addend within 10.

Type: Lesson Plan

Word Problem Lesson:

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

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

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.

Type: Lesson Plan

Coin Combinations: How else can you pay for that?:

In this lesson, students will learn that there can be multiple ways (multiple coin combinations) to reach a given money amount. Using money manipulatives, students will work cooperatively and independently to practice finding different coin combinations for a given money amount. Students will also become comfortable knowing that there are multiple ways to reach a correct answer.

Type: Lesson Plan

Dangerous Doubles (Doubling Numbers):

This lesson teaches students to use the strategy doubling numbers and doubles plus or minus one in order to use mental math to add one-digit numbers. The students are engaged in learning through the read-aloud of "Double the Ducks" by Stephen Murphy and then get to work with a partner to draw doubles and write equations that relate to their drawings. Students individually work on solving word problems using these strategies and manipulatives as necessary to solve.

Type: Lesson Plan

Mission: Addition – Adding 3 Numbers:

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

Type: Lesson Plan

Rock Around the Clock:

In this lesson, students will use addition or subtraction strategies to solve a real-world problem about developing a music playlist.

Type: Lesson Plan

Original Student Tutorials

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. 

Type: Original 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

Type: Original Student Tutorial

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

Type: Original Student Tutorial

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)

Type: Original Student Tutorial

Perspectives Video: Teaching Idea

Connecting Geometry to Numbers:

Unlock an effective teaching strategy for connecting geometry and numbers in order to build number sense in this Teacher Perspectives video for educators.

Type: Perspectives Video: Teaching Idea

Problem-Solving Tasks

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."

Type: Problem-Solving Task

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.

Type: Problem-Solving Task

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.

Type: Problem-Solving Task

At the Park:

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

Type: Problem-Solving Task

$20 Dot Map:

The language for this task is written above a 1st grade reading level, so it will need to be introduced verbally by the teacher. This problem helps students to practice adding three numbers whose sum are 20 or less. It is an open-ended problem with many solutions.

Type: Problem-Solving Task

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.

Type: Problem-Solving Task

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.

Type: Problem-Solving Task

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.

Type: Problem-Solving Task

Tutorials

Adding 5 + 3 + 6:

Learn how to add 5 + 3 + 6.

Type: Tutorial

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.

Type: Tutorial

Student Resources

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

Original Student Tutorials

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. 

Type: Original 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

Type: Original Student Tutorial

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

Type: Original Student Tutorial

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)

Type: Original Student Tutorial

Problem-Solving Tasks

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."

Type: Problem-Solving Task

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.

Type: Problem-Solving Task

At the Park:

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

Type: Problem-Solving Task

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.

Type: Problem-Solving Task

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.

Type: Problem-Solving Task

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.

Type: Problem-Solving Task

Tutorials

Adding 5 + 3 + 6:

Learn how to add 5 + 3 + 6.

Type: Tutorial

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.

Type: Tutorial

Parent Resources

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

Problem-Solving Tasks

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."

Type: Problem-Solving Task

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.

Type: Problem-Solving Task

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.

Type: Problem-Solving Task

At the Park:

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

Type: Problem-Solving Task

$20 Dot Map:

The language for this task is written above a 1st grade reading level, so it will need to be introduced verbally by the teacher. This problem helps students to practice adding three numbers whose sum are 20 or less. It is an open-ended problem with many solutions.

Type: Problem-Solving Task

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.

Type: Problem-Solving Task

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.

Type: Problem-Solving Task

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.

Type: Problem-Solving Task

Tutorial

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.

Type: Tutorial