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



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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
Code Description
MA.1.AR.1.1: Apply properties of addition to find a sum of three or more whole numbers.  
Clarifications:
Clarification 1: Within this benchmark, the expectation is to apply the associative and commutative properties of addition. It is not the expectation to name the properties or use parentheses. Refer to Properties of Operations, Equality and Inequality (Appendix D).

Clarification 2: Instruction includes emphasis on using the properties to make a ten when adding three or more numbers. 

Clarification 3: Addition is limited to sums within 20.

MA.1.AR.1.2: Solve addition and subtraction real-world problems using objects, drawings or equations to represent the problem.
Clarifications:
Clarification 1: Instruction includes understanding the context of the problem, as well as the quantities within the problem. 
Clarification 2: Students are not expected to independently read word problems. 
Clarification 3: Addition and subtraction are limited to sums within 20 and related subtraction facts. Refer to Situations Involving Operations with Numbers (Appendix A).


Related Access Points

This cluster includes the following access points.

Access Points

Access Point Number Access Point Title
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.

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
Turtles in a Pond:

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

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.

Both Addends Unknown:

Students are asked to solve a Put Together/Take Apart (Both Addends Unknown) word problem and explain their strategies.

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.

Lemons and Oranges:

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

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.

Lesson Plans

Name Description
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.

Pete's Groovy Button Problems:

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

Fairycat Bookstore:

In this Model Eliciting Activity, MEA, students will work in small groups to determine a procedure for deciding which book series they would like in their classroom library. Students will use information presented in pictographs and tally charts to determine this ranking. Then, in the twist, students will have to consider the cost of the series and what they will learn from each.

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

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.

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.

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.

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.

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.

What's Missing?:

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

Word Problem Lesson:

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

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.

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.

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.

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.

Mission: Addition – Adding 3 Numbers:

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

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.

Perspectives Video: Teaching Idea

Name Description
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.

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.

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.

$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.

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.

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

Name Description
Adding 5 + 3 + 6:

Learn how to add 5 + 3 + 6.

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.



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."

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.

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
Adding 5 + 3 + 6:

Learn how to add 5 + 3 + 6.

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.



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.

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.

$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.

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.

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.

Tutorial

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.