Use addition and subtraction within 20 to solve word problems 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.

Quarter 1

Quarter 2

Quarter 3

Quarter 4

Use addition and subtraction within 10 to solve word problems involving situations of:

adding to

taking from

putting together

taking apart

comparing

Concrete – Picture – (Numbers/Symbols)

Use addition and subtraction within 10 to solve word problems involving situations of:

adding to

taking from

putting together

taking apart

comparing

Concrete – Picture – (Numbers/Symbols)

Use addition and subtraction within 20 to solve word problems involving situations of:

adding to

taking from

putting together

taking apart

comparing

Concrete - Picture - Numbers/Symbols

Use addition and subtraction within 20 to solve word problems involving situations of:

adding to

taking from

putting together

taking apart

comparing

Picture - Numbers/Symbols (footnote about problem structures progression)

Draw a number line on a plastic bag with a sharpie. Use the slider to manipulate the calculation. Click the picture for more info.

Gail and Bill found 12 seashells on the beach. Some of them were shaped like cones. The rest of them were shaped like half circles. How many could have been shaped like cones? How many could have been shaped like half circles?

Maria has eight more crayons than Brian. Maria has 10 crayons. How many crayons does Brian have? Use this answer to solve the next question.

Ana has 4 crayons. If she puts her crayons with Brian and Maria’s crayons, will they have enough crayons to fill a box that holds 16 crayons? How do you know?

Jim had sixteen toy cars. He went to the toy store with his father. His father bought him some more cars. When Jim got home, he counted his cars and then he had 20. How many cars did his father buy for him?

On Monday, Cara made 5 cupcakes. On Tuesday, Cara made some more. She had 11 cupcakes altogether. How many cupcakes did Cara make on Tuesday?

About the Math

Word problems involve different problem situations. Often students are presented problems that represent one or two situations. Because of this students, begin to develop procedural approaches to solving problems. Procedural approaches that do not support problem solving skills include identifying key words. Essential vocabulary for this standard includes: Visit the Problem Solving page for a comprehensive collection of problems representing all story structures. Addition, add, subtraction, subtract, and equation(online dictionary, HCPSS Vocabulary Cards).

The Illustrative Mathematics Project tasks below demonstrate expectation of the standard.

Rich Tasks for Multiple Means of Engagement, Expression, and Representation (UDL)

Provide opportunities for students to participate in shared problem-solving activities to solve word problems.

Collaborate in small groups to develop problem-solving strategies using a variety of models such as drawings, words, and equations with symbols for the unknown numbers to find the solutions. Additionally students need the opportunity to explain, write, and reflect on their problem-solving strategies. The situations for the addition and subtraction story problems should involve sums and differences less than or equal to 20 using the numbers 0 to 20.

Students need the opportunity of writing and solving story problems involving three addends with a sum that is less than or equal to 20. For example, each student writes or draws a problem in which three whole things are being combined. The students exchange their problems with other students, solving them individually and then discussing their models and solution strategies. Now both students work together to solve each problem using a different strategy. CENTER ACTIVITY: Students can write their problems at a center. -or- Students can write their problems on note cards and leave them at a center for other students to solve at a later date.

Literature is a wonderful way to incorporate problem-solving in a context that young students can understand.
ANY book can be used as a context for a problem. This allows teachers to integrate any topic into mathematics class. As the teacher reads the story, students use a variety of manipulatives, drawings, or equations to model and find the solution to problems from the story.

Journal Prompts:

Juan has 8 toy cars. Some are blue and some are red. How many are blue? How many are red? Show as many different solutions as you can.

Leah's mom baked 9 pies. Some were apple and some were peach. How many were apple? How many were peach? Show as many different solutions as you can.

John had 6 coins in his pocket. He lost some. How many did he lose? How many did he have left? Show as many different combinations as you can.

Andrew had 7 marbles. His sister gave him some more and then he had 11 marbles. How many did Andrew's sister give him? Explain your thinking.

Differentiation:Don't let computation concerns interfere with students exposure to problems. Students can be given fact charts, number lines, hundred charts, or calculators to support computational skills. Problems can be differentiated by giving students number sets to choose from when solving problems.

Research indicates that using bar diagrams can help students develop understanding of problems and how to solve them.

This brief overview shares examples of the bar diagram method.
Bar Diagrams are similar to part-part-whole maps.
In this example the 2 amounts are joined to find a total (41).

## Use addition and subtraction within 20 to solve word problems 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.

to solve word problemswithin 10involving situations of:

Concrete – Picture – (Numbers/Symbols)

to solve word problemswithin 10involving situations of:

Concrete – Picture – (Numbers/Symbols)

to solve word problemswithin 20involving situations of:

Concrete - Picture - Numbers/Symbols

to solve word problemswithin 20involving situations of:

Picture - Numbers/Symbols

(footnote about problem structures progression)

Increasing Rigor

Word problems involve different problem situations. Often students are presented problems that represent one or two situations. Because of this students, begin to develop procedural approaches to solving problems. Procedural approaches that do not support problem solving skills include identifying key words. Essential vocabulary for this standard includes: Visit the Problem Solving page for a comprehensive collection of problems representing all story structures.About the MathAddition, add, subtraction, subtract,andequation(online dictionary, HCPSS Vocabulary Cards).## Rich Tasks for Multiple Means of Engagement, Expression, and Representation (UDL)

Collaborate in small groups to develop problem-solving strategies using a variety of models such as drawings, words, and equations with symbols for the unknown numbers to find the solutions. Additionally students need the opportunity to explain, write, and reflect on their problem-solving strategies. The situations for the addition and subtraction story problems should involve sums and differences less than or equal to 20 using the numbers 0 to 20.

Students need the opportunity of writing and solving story problems involving three addends with a sum that is less than or equal to 20. For example, each student writes or draws a problem in which three whole things are being combined. The students exchange their problems with other students, solving them individually and then discussing their models and solution strategies. Now both students work together to solve each problem using a different strategy.

CENTER ACTIVITY:Students can write their problems at a center. -or- Students can write their problems on note cards and leave them at a center for other students to solve at a later date.Literature is a wonderful way to incorporate problem-solving in a context that young students can understand.

ANY book can be used as a context for a problem. This allows teachers to integrate any topic into mathematics class. As the teacher reads the story, students use a variety of manipulatives, drawings, or equations to model and find the solution to problems from the story.

Journal Prompts:Differentiation:Don't let computation concerns interfere with students exposure to problems. Students can be given fact charts, number lines, hundred charts, or calculators to support computational skills. Problems can be differentiated by giving students number sets to choose from when solving problems.## Research indicates that using bar diagrams can help students develop understanding of problems and how to solve them.

This brief overview shares examples of the bar diagram method.

Bar Diagrams are similar to part-part-whole maps.

In this example the 2 amounts are joined to find a total (41).

Print Resources (Addition):Brain Compatible Activities for Mathematics K-1

(30-32, 44-49)

Developing Mathematics with Unifix Cubes:

(78-85), Lizard Land Money Game (60-63)

Roads to Reasoning (Grade 1):

Action Figures (16-19), Nick's Age (62-63),

Pool Party (76-77),Zoo Visit (68-69)

Print Resources (Subtraction):Brain Compatible Activities for Mathematics K-1

(33-35)

Developing Mathematics with Unifix Cubes:

(78-85), It's Tax Time in Hawaii 3-0 (68-69),

Lizard Land Tax Game (63-65)

Roads to Reasoning (Grade 1):

Cookies and Milk (66-67), Fly Away (20-21)

Web Resources:Games and CentersLessonsStudent ResourcesVideo SegmentsAddition and Subtraction Word Problems to 20 (mixed)

Add to: Change Unknown Problems to 20

Bunk Bed Problem

Double Decker Bus Problem

Making Apple Ten Packs

Online GamesRabbit SubtractionThinking Blocks Word ProblemsBar Model Addition/Subtraction

Do it With Dominoes

How Many More Fish?Take AwayComparing Connecting CubesModeling SubtractionSolving Math Word Problems

Add or Subtract Using Word Problems

Bicycle Shop Orders

Cookie Mysteries

What is the Question?

Addition Word Problems

Subtraction Word Problems

Sample Problems

Addition/Subtraction Word Problems

Take From Word Problems

Powerpoint, rigorous routine

Crayon Puzzle Routine

(Michelle Glenn, CLES)

Click on the book to download the task.Connecting to Children's Literature:Rooster's Off to See the WorldBy: Eric Carle

One Duck Stuckby: Phyllis Root

One Duck Stuck

1 HunterBy: Pat Hutchins

One Hunter

The Very Hungry CaterpillarBy: Eric Carle

The Very Hungry Catepillar

Two of EverythingDomino Addition Recording Sheet

## Questions/Comments:

Contact John SanGiovanni at jsangiovanni@hcpss.org.Use and Sharing of HCPSS Website and Resources:Howard County Public Schools Office of Elementary Mathematics Curricular Projects has licensed this product under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License.