example of math problem solving for grade 1

Word Problems (Grade 1)

Grade 1 Word Problems(examples, solutions, songs, videos, games, activities) Examples, solution, videos, and songs to help Grade 1 students learn how to 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.

Related Pages More Lessons for Grade 1 Common Core for Grade 1

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.

Common Core: 1.OA.1 and 1.OA.2

Suggested Learning Target

• I can model addition and subtraction word problems using objects, drawings, and equations with unknown numbers in different positions.
• I can solve addition and subtraction word problems using objects, drawings, and equations.
• I can solve word problems with unknown numbers in different positions (e.g., 6 + ? = 8, ? + 2 = 8, 6 + 2 = ?).
• I can represent a problem in multiple ways including drawings and or objects/manipulatives (e.g., counters, unifix cubes, Digi-Blocks, number lines)
• I can take apart and combine numbers in a wide variety of ways
• I can make sense of quantity and be able to compare numbers
• I can use flexible thinking strategies to develop the understanding of the traditional algorithms and their processes
• I can solve a variety of addition and subtraction word problems
• I can use _ or ? to represent an unknown in an equation
• I can add three whole numbers whose sum is less than or equal to 20.
• I can solve word problems with three whole numbers using objects, drawings, and equations.
• I can add numbers in any order and be able to identify the most efficient way to solve the problem

Addition Examples:

Result Unknown Two bunnies sat on the grass. Three more bunnies hopped there. How many bunnies are on the grass now? 2 + 3 = ?

Change Unknown Two bunnies were sitting on the grass. Some more bunnies hopped there. Then there were five bunnies. How many bunnies hopped over to the first? 2 + ? = 5

Start Unknown Some bunnies were sitting on the grass. Three more bunnies hopped there. Then there were five bunnies. How many bunnies were on the grass before? ? + 3 = 5

Subtraction Examples:

Result Unknown Five apples were on the table. I ate two apples. How many apples are on the table now? 5 – 2 = ?

Change Unknown Five apples were on the table. I ate some apples. Then there were three apples. How many apples did I eat? 5 – ? = 3

Start Unknown Some apples were on the table. I ate two apples. Then there were three apples. How many apples were on the table before? ? – 2 = 3

Word Problems. Addition with pictures (up to sum 20) Example: Lily had 5 apples and her aunt gave her 9 apples later. How many apples did Lily have finally?

Subtraction by counting back - word problems with pictures Example: There are 5 books on the desk. Betty took 2 away. How many books are left on the desk?

Word problems - subtraction with pictures - cross out - 1 digit Example: There are 9 cars in the shop and 8 of them are sold. How many cars are left?

Word problems - Subtraction with pictures - cross out (numbers to 20) Example: Mary had 11 toys and she gave 5 of them to Emma. How many toys did Mary have finally?

Word problems - adding multiple one-digit numbers Example: A furniture store sold 6 tables, 2 bookcases and 1 bed. How many pieces of furniture did the store sell in all?

Addition word problems that add up multiple values to sums less than or equal to ten. Example:

Laurem gave Troy two yellow pencils, three blue pencils and one green pencil. How many pencils did Lauren give him in all?

Ms. Ellis gave Lauren and Troy some cookies. Lauren ate two sugar and two chocolate chip cookies. Troy ate three oatmeal raisin and two sugar cookies. How many cookies did they eat in all?

Subtraction Strategies This video gives suggestions for solving subtraction story problems using a math mountain, equation, and circle drawing. Example: I have 8 peanuts. Then I eat 5 of them. How many peanuts are left?

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Home » 1st Grade Teaching Resources » 21 1st Grade Word Problems For Easy Math Skill Development

21 1st Grade Word Problems For Easy Math Skill Development

An important part of the curriculum, 1st grade word problems offer students an opportunity to apply the math concepts they have learned in class to everyday situations. 

Math class can be one of the most challenging subjects for children, so understanding and solving word problems about math in a practical way helps students practice math skills while applying different learning styles and understanding of math concepts in the real world. 

Table of Contents

Do 1st graders do word problems, best 1st grade word problem worksheets, how do you teach first grade word problems, about the author.

First grade students can do word problems by approaching them using what they already know: language skills like reading and listening, working together in teams, and manipulating objects to demonstrate and develop spatial sense. Word problems help students to understand the world around them, be able to solve real-world mathematical problems they can use in their everyday lives, and develop critical thinking skills, so it’s important to introduce word problems as early as 1st grade to help students think holistically about math.

In partnership with Teach Simple , whose marketplace is full of educational materials created by actual teachers (plus 50% of all revenues go to them), I have curated a list of 1st grade word problems on fantastic, interactive worksheets for teachers and parents to use to challenge students. They can be used in the classroom or at home . 

Children are often drawn to this kind of thinking, and there are lots of fun ways to make the experience playful and exciting for them. These worksheets and activities align with common core math standards for 1st grade, which include operations and algebraic thinking, numbers and operations, measurement and data, and geometry.  

Secret Word Problem Puzzles

These 5 sets of puzzles will help students add and subtract within word problems. Students solve the word puzzles and use their answers to figure out the code words. 

This bundle includes the secret code card, 8 word problems per set, response cards, and an answer key to check answers in 1 PDF file. 

Word Problems Solving Worksheet

With this worksheet, students can read the word problem and choose the correct operation to solve it. Simple yet effective, this printable sheet includes pictures and is available in 1 PDF file.  

Single Digit Addition Word Problem Activity

This printable worksheet has students solve single-digit addition word problems using colorful images and relatable situations. 

Math Strategy Cheat Sheet for Word Problems

This resource is a math strategy cheat sheet that students can utilize when solving word problems. When working on a problem, students can pull out this resource guide and determine which strategy will help them most. It includes 1 PDF with 2 ready-to-print pages.

Dental Math Word Problems Worksheet

This activity engages students by challenging them to solve word problems while learning all about the dentist! 

“ It’s Fall” Word Problems

These engaging math and literacy worksheet sets include word problems to be solved on a number line, as part-part-whole (number bonds), and in a drawing. This is an ebook download in PDF format.

Ocean Math Word Problems Activity

This activity engages students by asking them to solve word problems while learning about oceans. It contains 1 product file.  

Storytime Discoveries Math

The stories and activities in this book help make math fun through interesting folktales , poems, and original stories. Students learn about logical thinking, problem solving, and various mathematical concepts, such as measurement, shapes, telling time, addition, fractions, and map reading. 

”It’s Winter” Math Word Problems

When it’s cold outside, add some fun to your classroom with these engaging math problems. They have activities that can be used for morning work, homework, group work, or in learning centers. 

This product includes a word problem to be solved on a number line, as part-part-whole (number bonds), and in a drawing. 

Cut-and-Paste Math Word Problems

With this activity, students can practice word problems with cut-and-paste activities that provide hands-on practice for simple addition. Students read the problem, count out the amount they need, add them together, glue them onto their paper, then write their equation. 

2-Digit Addition, Subtraction, and Word Problems Workbook

This workbook provides practice for place value , two-digit addition and subtraction, odd and even numbers, and addition and subtraction word problems. It includes a 21-page printable packet with activities.

Frostyville Cinema Worksheets

These worksheets contain a variety of math skills that align with the curriculum. Students will work on reading a schedule and a menu, solving word problems, adding and subtracting money , and working on elapsed time. 

It has a fun wintertime theme and two different levels of problems, a color version, a black-and-white version, and the answer key.

Add and Subtract Word Problems Worksheet

This worksheet has add and subtract word problems ranging from 10 to 100.

10 Printable Word Problem Worksheets (Numbers 1–20)

This printable bundle has four word problems worksheets on addition, four on subtraction, and two worksheets on mixed operations.

Barnyard Math Word Problems

This activity engages students by asking them to solve word problems while learning about barnyard animals.

Harvest Theme Addition and Subtraction Word Problems

These materials are designed to be a follow-up activity after instruction on tens frame is presented. 

The word problems are presented on task cards. Students can answer the problems by using ten frames and apple-themed counters. Then, they can write their answers on a student recording sheet.

Math Word Problems Worksheet

These addition word problems include key words such as “in all,” “altogether,” “total number,” and “sum.” They have fun colorful pictures to make the problems interesting. These files are in a zipped folder with 8 sheets. 

First Grade Word Problems

This is a set of 30 math worksheets for first grade . They give students structured practice in solving addition and subtraction word problems, which involves both math and reading comprehension .

Addition Within 20 Word Problems Task Cards

These task cards each have an addition word problem with answers within 20. There are 20 cards, recording sheet, and answer key included.

Time Word Problems and Blank Clock Template

These printable worksheets are available in PDF format with 4 PDF worksheets with a blank template that includes analog clocks and empty boxes, to assist students practice giving varied times. Word problems are included in two worksheets for extra practice. Given certain time constraints, students must solve the problem and indicate when the event began and when it ends.

Multiplication for Primary Students

If you have any first graders that are ready to give multiplication a try, this resource contains 9 pages that will help your students understand multiplication.

The goal with 1st grade word problems is for students to develop skills like abstract and quantitative reasoning, applying mathematical tools they have already learned, and making sense of real-world mathematical scenarios. 

When teaching word problems to 1st grade students, we want to make sure we explain the problems clearly, note when students struggle with language comprehension (such as new vocabulary), and are available to provide support by talking out the problems with students. 

Here are some great tips for teaching word problems:

Tip 1: print them on good quality cardstock or laminate for durability and longevity, tip 2: print them on colored paper to engage students’, tip 3: remind students of different strategies they can use to solve word problems, tip 4: let students have access to the answer sheets once they have worked on the problem so they can self-correct, tip 5: have students work in groups, make the 1st grade word problems into a game, and get creative with your teaching style.

Jen Skolsky has a background in English, Psychology, and Creative Writing. She has taught for many years in international education, including ESL for all ages, middle school literature, speech and debate; high school AP Psychology, AP Language, AP Literature; university level Academic Writing, and Chinese Medicine Theory. She now works in marketing and book publishing.

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Last Updated on July 17, 2023 by Teach Simple

First Grade Math: Word Problems

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When first-grade students begin to learn math, teachers often use word problems and real-life examples to help students understand the complex language of mathematics. This establishes a foundation for higher education that the students will continue for at least the next 11 years.

By the time they finish the first grade, students are expected to know the basics of counting and number patterns, subtraction and addition, comparing and estimation, basic place values like tens and ones, data and graphs, fractions, two and three-dimensional shapes, and time and money logistics.

The following printable PDFs will help teachers better prepare students to grasp these core concepts for mathematics. Read on to learn more about how word problems help children to attain these goals before completing first grade.

Using Printable Worksheets as Teaching Tools

Deb Russell

Print the PDF: Word Problem Worksheet 1

This printable PDF provides a set of word problems that can test your student's knowledge of arithmetic problems. It also offers a handy number line on the bottom that students can use to help with their work!

How Word Problems Help First Graders Learn Math

Deb Russell 

Print the PDF: Word Problem Worksheet 2

Word problems like those found in this second printable PDF help students grasp the context surrounding why we need and use mathematics in everyday life, so it's essential that teachers ensure that their students understand this context and don't just arrive at an answer based on the math involved.

It breaks down to students understanding the practical application of math. If instead of asking students a question and a series of numbers that need to be solved, a teacher proposes a situation like "Sally has candy to share," students will understand the issue at hand is that she wants to divide them evenly and the solution provides a means to do that.

In this way, students can comprehend the implications of the math and the information they need to know to find the answer: how much candy does Sally have, how many people is she sharing with, and does she want to put any aside for later?

Developing these critical thinking skills as they relate to mathematics are essential for students to continue to study the subject in higher grades.

Shapes Matter, Too!

Print the PDF: Word Problem Worksheet 3

When teaching first-grade students early mathematics subjects with word problem worksheets, it's not just about presenting a situation in which a character has a few of an item and then loses some, it's also about ensuring students understand basic descriptors for shapes and times, measurements, and amounts of money.

In this linked worksheet, for instance, the first question asks students to identify the shape based on the following clues: "I have 4 sides all the same size and I have 4 corners. What am I?" The answer, a square, would only be understood if the student remembers that no other shape has four equal sides and four corners.

Similarly, the second question about time requires that the student be able to calculate addition of hours to a 12-hour system of measurement while question five asks the student to identify number patterns and types by asking about an odd number that's higher than six but lower than nine.

Each of the linked worksheets above covers the full course of mathematics comprehension required for completing the first grade, but it's important that teachers also check to ensure their students understand the context and concepts behind their answers to the questions before allowing them to move to second-grade mathematics.

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Unit 1: Place value

Unit 2: addition and subtraction, unit 3: measurement, data, and geometry.

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1st Grade Word Problems Learning Resources

Strengthen your child's word problems skills with interactive educational resources for word problems for 1st graders online. These learning resources include fun games and worksheets with eye-catching visuals and characters. Get started to help your 1st grader master this concept by engaging their critical thinking.

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Addition and Subtraction Word Problems

Solve Count On Scenarios Game

Begin the exciting journey of becoming a math wizard by learning how to solve count on scenarios.

Represent 'Add To' Scenarios Game

Learn to solve math problems through our 'Represent 'Add To' Scenarios' game.

Find the Sum Using Part-Part-Whole Model Worksheet

Combine math learning with adventure by solving to find the sum using 'Part-Part-Whole' model.

Write Equations Using Part-Part-Whole Model Worksheet

Learn number sense at the speed of lightning by writing equations using 'Part-Part-Whole' model.

All Word Problems Resources

Choose the Correct Operation— Add or Subtract Worksheet

Make math practice a joyride by choosing the correct operation— Add or Subtract.

Select the Correct Model Worksheet

Pack your math practice time with fun by selecting the correct model.

Solve 'Add To' Scenarios Game

Add more arrows to your child’s math quiver by solving 'Add To' scenarios.

Represent 'Put Together' Scenarios Game

Have your own math-themed party by learning how to represent 'Put Together' scenarios.

Represent the Scenarios Using Equations Worksheet

This downloadable worksheet is designed to represent the given scenarios using equations.

Complete the Word Problem Model Worksheet

Boost your ability to complete the word problem model by printing this playful worksheet.

Solve 'Put Together' Scenarios Game

Shine bright in the math world by learning how to solve 'Put Together' scenarios.

Solve 'Change Unknown' Scenarios Game

Begin the exciting journey of becoming a math wizard by solving 'Change Unknown' scenarios.

Complete the Model to Write Equations Worksheet

Be on your way to become a mathematician by practicing to complete the model to write equations.

Complete the Model Using Clues Worksheet

Assess your math skills by completing the model using clues in this worksheet.

Solve 'Count On' Word Problems Game

Take the first step towards building your math castle by solving 'Count On' word problems.

Represent 'Add To' Word Problems Game

Take a deep dive into the world of math with our 'Represent 'Add To' Word Problems' game.

Write the Equation using Clues Worksheet

Be on your way to become a mathematician by practicing to write the equation using clues.

Use Clues to Complete the Model Worksheet

Help your child revise subtraction by solving to use clues to complete the model.

Solve 'Add To' Word Problems Game

Unearth the wisdom of mathematics by learning how to solve 'Add To' word problems.

Represent 'Put Together' Word Problems Game

Unearth the wisdom of mathematics by learning how to represent 'Put Together' word problems.

Solve Word Problems on Comparison Worksheet

Put your skills to the test by practicing to solve word problems on comparison.

Complete the Bar Model Worksheet

Dive into this fun-filled printable worksheet by practicing to complete the bar model.

Solve 'Put Together' Word Problems Game

Let your child see the world through math-colored shades by solving 'Put Together' word problems!

Word Problems to Add Multiples of 10 Game

Learn to solve word problems to add multiples of 10.

Complete Part-Part-Whole Model Worksheet

Learners must complete 'Part-Part-Whole' models to enhance their math skills.

Select the Correct Equation Worksheet

Dive into this fun-filled printable worksheet by selecting the correct equation.

Word Problems to Add Tens to a 2-digit number Game

Make math learning fun by solving word problems to add tens to a 2-digit number.

Solve Word Problems on Add to Scenarios Game

Ask your little one to solve word problems on "Add to" scenarios to play this game.

Solve Word Problems Using Bar Models Worksheet

Dive into this fun-filled printable worksheet by practicing to solve word problems using bar models.

Use Bar Models to Compare and Solve Worksheet

This downloadable worksheet is designed to help you use bar models to compare and solve.

Solve Word Problems on Put together Scenarios Game

Practice the superpower of addition by learning to solve word problems on "Put together" scenarios.

Subtract to Compare Game

Let your child see the world through math-colored shades by subtracting to compare.

Represent Given Situation in a Bar Model Worksheet

In this worksheet, learners will get to represent the given situations in a bar model.

Represent Given Situation into a Bar Model Worksheet

Focus on core math skills by representing the given situation into a bar model.

Compare and Solve to Find the Unknown Game

Have your own math-themed party by learning how to compare and solve to find the unknown.

Represent Scenarios with More Game

Enter the madness of math-multiverse by exploring how to represent scenarios with 'More'.

Add or Subtract within 10: Summer Word Problems Worksheet

Summer-themed worksheet challenging students to solve addition or subtraction problems within 10.

Add or Subtract within 20: Summer Word Problems Worksheet

Engaging summer-themed worksheet to master addition and subtraction within 20 through word problems.

Represent Scenarios with Fewer Game

Enjoy the marvel of mathematics by exploring how to represent scenarios with 'Fewer'.

Solve to Find How Many More Game

Learn to solve real world problems through our 'How Many More' game.

Add or Subtract within 10: Halloween Word Problems Worksheet

Engage in this Halloween-themed worksheet, solving fun addition and subtraction problems within 10.

Add or Subtract within 20: Halloween Word Problems Worksheet

Engaging Halloween-themed worksheet to practice addition and subtraction within 20 through word problems.

Solve to Find How Many Fewer Game

Kids must solve to find 'How Many Fewer' to practice addition.

Represent 'Take Apart' Scenarios Game

Kids must represent 'Take Apart' scenarios to practice subtraction.

Add or Subtract within 10: Christmas Word Problems Worksheet

Engage in festive math fun with this worksheet, solving addition and subtraction problems within 10, Christmas theme!

Add or Subtract within 20: Christmas Word Problems Worksheet

Engaging Christmas-themed worksheet focusing on adding or subtracting numbers within 20.

Solve 'Take Apart' Scenarios Game

Take the pressure off by simplifying subtraction by solving 'Take Apart' scenarios.

Change Unknown Scenarios Game

Shine bright in the math world by learning how to change unknown scenarios.

Add or Subtract within 10: Shopping Word Problems Worksheet

Exciting worksheet tasking students to solve shopping-themed addition and subtraction problems within 10.

Add or Subtract within 20: Shopping Word Problems Worksheet

Shopping-themed worksheet designed to enhance math skills through solving addition and subtraction problems within 20.

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120 Math Word Problems To Challenge Students Grades 1 to 8

Written by Marcus Guido

Hey teachers! 👋

Use Prodigy to spark a love for math in your students – including when solving word problems!

• Teaching Tools
• Subtraction
• Multiplication
• Mixed operations
• Ordering and number sense
• Comparing and sequencing
• Physical measurement
• Ratios and percentages
• Probability and data relationships

You sit at your desk, ready to put a math quiz, test or activity together. The questions flow onto the document until you hit a section for word problems.

A jolt of creativity would help. But it doesn’t come.

Whether you’re a 3rd grade teacher or an 8th grade teacher preparing students for high school, translating math concepts into real world examples can certainly be a challenge.

This resource is your jolt of creativity. It provides examples and templates of math word problems for 1st to 8th grade classes.

There are 120 examples in total.

The list of examples is supplemented by tips to create engaging and challenging math word problems.

120 Math word problems, categorized by skill

Addition word problems.

Best for: 1st grade, 2nd grade

1. Adding to 10: Ariel was playing basketball. 1 of her shots went in the hoop. 2 of her shots did not go in the hoop. How many shots were there in total?

2. Adding to 20: Adrianna has 10 pieces of gum to share with her friends. There wasn’t enough gum for all her friends, so she went to the store to get 3 more pieces of gum. How many pieces of gum does Adrianna have now?

3. Adding to 100: Adrianna has 10 pieces of gum to share with her friends. There wasn’t enough gum for all her friends, so she went to the store and got 70 pieces of strawberry gum and 10 pieces of bubble gum. How many pieces of gum does Adrianna have now?

4. Adding Slightly over 100: The restaurant has 175 normal chairs and 20 chairs for babies. How many chairs does the restaurant have in total?

5. Adding to 1,000: How many cookies did you sell if you sold 320 chocolate cookies and 270 vanilla cookies?

6. Adding to and over 10,000: The hobby store normally sells 10,576 trading cards per month. In June, the hobby store sold 15,498 more trading cards than normal. In total, how many trading cards did the hobby store sell in June?

7. Adding 3 Numbers: Billy had 2 books at home. He went to the library to take out 2 more books. He then bought 1 book. How many books does Billy have now?

8. Adding 3 Numbers to and over 100: Ashley bought a big bag of candy. The bag had 102 blue candies, 100 red candies and 94 green candies. How many candies were there in total?

Subtraction word problems

Best for: 1st grade, second grade

9. Subtracting to 10: There were 3 pizzas in total at the pizza shop. A customer bought 1 pizza. How many pizzas are left?

10. Subtracting to 20: Your friend said she had 11 stickers. When you helped her clean her desk, she only had a total of 10 stickers. How many stickers are missing?

11. Subtracting to 100: Adrianna has 100 pieces of gum to share with her friends. When she went to the park, she shared 10 pieces of strawberry gum. When she left the park, Adrianna shared another 10 pieces of bubble gum. How many pieces of gum does Adrianna have now?

Practice math word problems with Prodigy Math

Join millions of teachers using Prodigy to make learning fun and differentiate instruction as they answer in-game questions, including math word problems from 1st to 8th grade!

12. Subtracting Slightly over 100: Your team scored a total of 123 points. 67 points were scored in the first half. How many were scored in the second half?

13. Subtracting to 1,000: Nathan has a big ant farm. He decided to sell some of his ants. He started with 965 ants. He sold 213. How many ants does he have now?

14. Subtracting to and over 10,000: The hobby store normally sells 10,576 trading cards per month. In July, the hobby store sold a total of 20,777 trading cards. How many more trading cards did the hobby store sell in July compared with a normal month?

15. Subtracting 3 Numbers: Charlene had a pack of 35 pencil crayons. She gave 6 to her friend Theresa. She gave 3 to her friend Mandy. How many pencil crayons does Charlene have left?

16. Subtracting 3 Numbers to and over 100: Ashley bought a big bag of candy to share with her friends. In total, there were 296 candies. She gave 105 candies to Marissa. She also gave 86 candies to Kayla. How many candies were left?

Multiplication word problems

Best for: 2nd grade, 3rd grade

17. Multiplying 1-Digit Integers: Adrianna needs to cut a pan of brownies into pieces. She cuts 6 even columns and 3 even rows into the pan. How many brownies does she have?

18. Multiplying 2-Digit Integers: A movie theatre has 25 rows of seats with 20 seats in each row. How many seats are there in total?

19. Multiplying Integers Ending with 0: A clothing company has 4 different kinds of sweatshirts. Each year, the company makes 60,000 of each kind of sweatshirt. How many sweatshirts does the company make each year?

20. Multiplying 3 Integers: A bricklayer stacks bricks in 2 rows, with 10 bricks in each row. On top of each row, there is a stack of 6 bricks. How many bricks are there in total?

21. Multiplying 4 Integers: Cayley earns $5 an hour by delivering newspapers. She delivers newspapers 3 days each week, for 4 hours at a time. After delivering newspapers for 8 weeks, how much money will Cayley earn?

Division word problems

Best for: 3rd grade, 4th grade, 5th grade

22. Dividing 1-Digit Integers: If you have 4 pieces of candy split evenly into 2 bags, how many pieces of candy are in each bag?

23. Dividing 2-Digit Integers: If you have 80 tickets for the fair and each ride costs 5 tickets, how many rides can you go on?

24. Dividing Numbers Ending with 0: The school has $20,000 to buy new computer equipment. If each piece of equipment costs $50, how many pieces can the school buy in total?

25. Dividing 3 Integers: Melissa buys 2 packs of tennis balls for $12 in total. All together, there are 6 tennis balls. How much does 1 pack of tennis balls cost? How much does 1 tennis ball cost?

26. Interpreting Remainders: An Italian restaurant receives a shipment of 86 veal cutlets. If it takes 3 cutlets to make a dish, how many cutlets will the restaurant have left over after making as many dishes as possible?

Mixed operations word problems

27. Mixing Addition and Subtraction: There are 235 books in a library. On Monday, 123 books are taken out. On Tuesday, 56 books are brought back. How many books are there now?

28. Mixing Multiplication and Division: There is a group of 10 people who are ordering pizza. If each person gets 2 slices and each pizza has 4 slices, how many pizzas should they order?

29. Mixing Multiplication, Addition and Subtraction: Lana has 2 bags with 2 marbles in each bag. Markus has 2 bags with 3 marbles in each bag. How many more marbles does Markus have?

30. Mixing Division, Addition and Subtraction: Lana has 3 bags with the same amount of marbles in them, totaling 12 marbles. Markus has 3 bags with the same amount of marbles in them, totaling 18 marbles. How many more marbles does Markus have in each bag?

Ordering and number sense word problems

31. Counting to Preview Multiplication: There are 2 chalkboards in your classroom. If each chalkboard needs 2 pieces of chalk, how many pieces do you need in total?

32. Counting to Preview Division: There are 3 chalkboards in your classroom. Each chalkboard has 2 pieces of chalk. This means there are 6 pieces of chalk in total. If you take 1 piece of chalk away from each chalkboard, how many will there be in total?

33. Composing Numbers: What number is 6 tens and 10 ones?

34. Guessing Numbers: I have a 7 in the tens place. I have an even number in the ones place. I am lower than 74. What number am I?

35. Finding the Order: In the hockey game, Mitchell scored more points than William but fewer points than Auston. Who scored the most points? Who scored the fewest points?

Fractions word problems

Best for: 3rd grade, 4th grade, 5th grade, 6th grade

36. Finding Fractions of a Group: Julia went to 10 houses on her street for Halloween. 5 of the houses gave her a chocolate bar. What fraction of houses on Julia’s street gave her a chocolate bar?

37. Finding Unit Fractions: Heather is painting a portrait of her best friend, Lisa. To make it easier, she divides the portrait into 6 equal parts. What fraction represents each part of the portrait?

38. Adding Fractions with Like Denominators: Noah walks ⅓ of a kilometre to school each day. He also walks ⅓ of a kilometre to get home after school. How many kilometres does he walk in total?

39. Subtracting Fractions with Like Denominators: Last week, Whitney counted the number of juice boxes she had for school lunches. She had ⅗ of a case. This week, it’s down to ⅕ of a case. How much of the case did Whitney drink?

40. Adding Whole Numbers and Fractions with Like Denominators: At lunchtime, an ice cream parlor served 6 ¼ scoops of chocolate ice cream, 5 ¾ scoops of vanilla and 2 ¾ scoops of strawberry. How many scoops of ice cream did the parlor serve in total?

41. Subtracting Whole Numbers and Fractions with Like Denominators: For a party, Jaime had 5 ⅓ bottles of cola for her friends to drink. She drank ⅓ of a bottle herself. Her friends drank 3 ⅓. How many bottles of cola does Jaime have left?

42. Adding Fractions with Unlike Denominators: Kevin completed ½ of an assignment at school. When he was home that evening, he completed ⅚ of another assignment. How many assignments did Kevin complete?

43. Subtracting Fractions with Unlike Denominators: Packing school lunches for her kids, Patty used ⅞ of a package of ham. She also used ½ of a package of turkey. How much more ham than turkey did Patty use?

44. Multiplying Fractions: During gym class on Wednesday, the students ran for ¼ of a kilometre. On Thursday, they ran ½ as many kilometres as on Wednesday. How many kilometres did the students run on Thursday? Write your answer as a fraction.

45. Dividing Fractions: A clothing manufacturer uses ⅕ of a bottle of colour dye to make one pair of pants. The manufacturer used ⅘ of a bottle yesterday. How many pairs of pants did the manufacturer make?

46. Multiplying Fractions with Whole Numbers: Mark drank ⅚ of a carton of milk this week. Frank drank 7 times more milk than Mark. How many cartons of milk did Frank drink? Write your answer as a fraction, or as a whole or mixed number.

Decimals word problems

Best for: 4th grade, 5th grade

47. Adding Decimals: You have 2.6 grams of yogurt in your bowl and you add another spoonful of 1.3 grams. How much yogurt do you have in total?

48. Subtracting Decimals: Gemma had 25.75 grams of frosting to make a cake. She decided to use only 15.5 grams of the frosting. How much frosting does Gemma have left?

49. Multiplying Decimals with Whole Numbers: Marshall walks a total of 0.9 kilometres to and from school each day. After 4 days, how many kilometres will he have walked?

50. Dividing Decimals by Whole Numbers: To make the Leaning Tower of Pisa from spaghetti, Mrs. Robinson bought 2.5 kilograms of spaghetti. Her students were able to make 10 leaning towers in total. How many kilograms of spaghetti does it take to make 1 leaning tower?

51. Mixing Addition and Subtraction of Decimals: Rocco has 1.5 litres of orange soda and 2.25 litres of grape soda in his fridge. Antonio has 1.15 litres of orange soda and 0.62 litres of grape soda. How much more soda does Rocco have than Angelo?

52. Mixing Multiplication and Division of Decimals: 4 days a week, Laura practices martial arts for 1.5 hours. Considering a week is 7 days, what is her average practice time per day each week?

Comparing and sequencing word problems

Best for: Kindergarten, 1st grade, 2nd grade

53. Comparing 1-Digit Integers: You have 3 apples and your friend has 5 apples. Who has more?

54. Comparing 2-Digit Integers: You have 50 candies and your friend has 75 candies. Who has more?

55. Comparing Different Variables: There are 5 basketballs on the playground. There are 7 footballs on the playground. Are there more basketballs or footballs?

56. Sequencing 1-Digit Integers: Erik has 0 stickers. Every day he gets 1 more sticker. How many days until he gets 3 stickers?

57. Skip-Counting by Odd Numbers: Natalie began at 5. She skip-counted by fives. Could she have said the number 20?

58. Skip-Counting by Even Numbers: Natasha began at 0. She skip-counted by eights. Could she have said the number 36?

59. Sequencing 2-Digit Numbers: Each month, Jeremy adds the same number of cards to his baseball card collection. In January, he had 36. 48 in February. 60 in March. How many baseball cards will Jeremy have in April?

Time word problems

66. Converting Hours into Minutes: Jeremy helped his mom for 1 hour. For how many minutes was he helping her?

69. Adding Time: If you wake up at 7:00 a.m. and it takes you 1 hour and 30 minutes to get ready and walk to school, at what time will you get to school?

70. Subtracting Time: If a train departs at 2:00 p.m. and arrives at 4:00 p.m., how long were passengers on the train for?

71. Finding Start and End Times: Rebecca left her dad’s store to go home at twenty to seven in the evening. Forty minutes later, she was home. What time was it when she arrived home?

Money word problems

Best for: 1st grade, 2nd grade, 3rd grade, 4th grade, 5th grade

60. Adding Money: Thomas and Matthew are saving up money to buy a video game together. Thomas has saved $30. Matthew has saved $35. How much money have they saved up together in total?

61. Subtracting Money: Thomas has $80 saved up. He uses his money to buy a video game. The video game costs $67. How much money does he have left?

62. Multiplying Money: Tim gets $5 for delivering the paper. How much money will he have after delivering the paper 3 times?

63. Dividing Money: Robert spent $184.59 to buy 3 hockey sticks. If each hockey stick was the same price, how much did 1 cost?

64. Adding Money with Decimals: You went to the store and bought gum for $1.25 and a sucker for $0.50. How much was your total?

65. Subtracting Money with Decimals: You went to the store with $5.50. You bought gum for $1.25, a chocolate bar for $1.15 and a sucker for $0.50. How much money do you have left?

67. Applying Proportional Relationships to Money: Jakob wants to invite 20 friends to his birthday, which will cost his parents $250. If he decides to invite 15 friends instead, how much money will it cost his parents? Assume the relationship is directly proportional.

68. Applying Percentages to Money: Retta put $100.00 in a bank account that gains 20% interest annually. How much interest will be accumulated in 1 year? And if she makes no withdrawals, how much money will be in the account after 1 year?

Physical measurement word problems

Best for: 1st grade, 2nd grade, 3rd grade, 4th grade

72. Comparing Measurements: Cassandra’s ruler is 22 centimetres long. April’s ruler is 30 centimetres long. How many centimetres longer is April’s ruler?

73. Contextualizing Measurements: Picture a school bus. Which unit of measurement would best describe the length of the bus? Centimetres, metres or kilometres?

74. Adding Measurements: Micha’s dad wants to try to save money on gas, so he has been tracking how much he uses. Last year, Micha’s dad used 100 litres of gas. This year, her dad used 90 litres of gas. How much gas did he use in total for the two years?

75. Subtracting Measurements: Micha’s dad wants to try to save money on gas, so he has been tracking how much he uses. Over the past two years, Micha’s dad used 200 litres of gas. This year, he used 100 litres of gas. How much gas did he use last year?

76. Multiplying Volume and Mass: Kiera wants to make sure she has strong bones, so she drinks 2 litres of milk every week. After 3 weeks, how many litres of milk will Kiera drink?

77. Dividing Volume and Mass: Lillian is doing some gardening, so she bought 1 kilogram of soil. She wants to spread the soil evenly between her 2 plants. How much will each plant get?

78. Converting Mass: Inger goes to the grocery store and buys 3 squashes that each weigh 500 grams. How many kilograms of squash did Inger buy?

79. Converting Volume: Shad has a lemonade stand and sold 20 cups of lemonade. Each cup was 500 millilitres. How many litres did Shad sell in total?

80. Converting Length: Stacy and Milda are comparing their heights. Stacy is 1.5 meters tall. Milda is 10 centimetres taller than Stacy. What is Milda’s height in centimetres?

81. Understanding Distance and Direction: A bus leaves the school to take students on a field trip. The bus travels 10 kilometres south, 10 kilometres west, another 5 kilometres south and 15 kilometres north. To return to the school, in which direction does the bus have to travel? How many kilometres must it travel in that direction?

Ratios and percentages word problems

Best for: 4th grade, 5th grade, 6th grade

82. Finding a Missing Number: The ratio of Jenny’s trophies to Meredith’s trophies is 7:4. Jenny has 28 trophies. How many does Meredith have?

83. Finding Missing Numbers: The ratio of Jenny’s trophies to Meredith’s trophies is 7:4. The difference between the numbers is 12. What are the numbers?

84. Comparing Ratios: The school’s junior band has 10 saxophone players and 20 trumpet players. The school’s senior band has 18 saxophone players and 29 trumpet players. Which band has the higher ratio of trumpet to saxophone players?

85. Determining Percentages: Mary surveyed students in her school to find out what their favourite sports were. Out of 1,200 students, 455 said hockey was their favourite sport. What percentage of students said hockey was their favourite sport?

86. Determining Percent of Change: A decade ago, Oakville’s population was 67,624 people. Now, it is 190% larger. What is Oakville’s current population?

87. Determining Percents of Numbers: At the ice skate rental stand, 60% of 120 skates are for boys. If the rest of the skates are for girls, how many are there?

88. Calculating Averages: For 4 weeks, William volunteered as a helper for swimming classes. The first week, he volunteered for 8 hours. He volunteered for 12 hours in the second week, and another 12 hours in the third week. The fourth week, he volunteered for 9 hours. For how many hours did he volunteer per week, on average?

Probability and data relationships word problems

Best for: 4th grade, 5th grade, 6th grade, 7th grade

89. Understanding the Premise of Probability: John wants to know his class’s favourite TV show, so he surveys all of the boys. Will the sample be representative or biased?

90. Understanding Tangible Probability: The faces on a fair number die are labelled 1, 2, 3, 4, 5 and 6. You roll the die 12 times. How many times should you expect to roll a 1?

91. Exploring Complementary Events: The numbers 1 to 50 are in a hat. If the probability of drawing an even number is 25/50, what is the probability of NOT drawing an even number? Express this probability as a fraction.

92. Exploring Experimental Probability: A pizza shop has recently sold 15 pizzas. 5 of those pizzas were pepperoni. Answering with a fraction, what is the experimental probability that he next pizza will be pepperoni?

93. Introducing Data Relationships: Maurita and Felice each take 4 tests. Here are the results of Maurita’s 4 tests: 4, 4, 4, 4. Here are the results for 3 of Felice’s 4 tests: 3, 3, 3. If Maurita’s mean for the 4 tests is 1 point higher than Felice’s, what’s the score of Felice’s 4th test?

94. Introducing Proportional Relationships: Store A is selling 7 pounds of bananas for $7.00. Store B is selling 3 pounds of bananas for $6.00. Which store has the better deal?

95. Writing Equations for Proportional Relationships: Lionel loves soccer, but has trouble motivating himself to practice. So, he incentivizes himself through video games. There is a proportional relationship between the amount of drills Lionel completes, in x , and for how many hours he plays video games, in y . When Lionel completes 10 drills, he plays video games for 30 minutes. Write the equation for the relationship between x and y .

Geometry word problems

Best for: 4th grade, 5th grade, 6th grade, 7th grade, 8th grade

96. Introducing Perimeter:  The theatre has 4 chairs in a row. There are 5 rows. Using rows as your unit of measurement, what is the perimeter?

97. Introducing Area: The theatre has 4 chairs in a row. There are 5 rows. How many chairs are there in total?

98. Introducing Volume: Aaron wants to know how much candy his container can hold. The container is 20 centimetres tall, 10 centimetres long and 10 centimetres wide. What is the container’s volume?

99. Understanding 2D Shapes: Kevin draws a shape with 4 equal sides. What shape did he draw?

100. Finding the Perimeter of 2D Shapes: Mitchell wrote his homework questions on a piece of square paper. Each side of the paper is 8 centimetres. What is the perimeter?

101. Determining the Area of 2D Shapes: A single trading card is 9 centimetres long by 6 centimetres wide. What is its area?

102. Understanding 3D Shapes: Martha draws a shape that has 6 square faces. What shape did she draw?

103. Determining the Surface Area of 3D Shapes: What is the surface area of a cube that has a width of 2cm, height of 2 cm and length of 2 cm?

104. Determining the Volume of 3D Shapes: Aaron’s candy container is 20 centimetres tall, 10 centimetres long and 10 centimetres wide. Bruce’s container is 25 centimetres tall, 9 centimetres long and 9 centimetres wide. Find the volume of each container. Based on volume, whose container can hold more candy?

105. Identifying Right-Angled Triangles: A triangle has the following side lengths: 3 cm, 4 cm and 5 cm. Is this triangle a right-angled triangle?

106. Identifying Equilateral Triangles: A triangle has the following side lengths: 4 cm, 4 cm and 4 cm. What kind of triangle is it?

107. Identifying Isosceles Triangles: A triangle has the following side lengths: 4 cm, 5 cm and 5 cm. What kind of triangle is it?

108. Identifying Scalene Triangles: A triangle has the following side lengths: 4 cm, 5 cm and 6 cm. What kind of triangle is it?

109. Finding the Perimeter of Triangles: Luigi built a tent in the shape of an equilateral triangle. The perimeter is 21 metres. What is the length of each of the tent’s sides?

110. Determining the Area of Triangles: What is the area of a triangle with a base of 2 units and a height of 3 units?

111. Applying Pythagorean Theorem: A right triangle has one non-hypotenuse side length of 3 inches and the hypotenuse measures 5 inches. What is the length of the other non-hypotenuse side?

112. Finding a Circle’s Diameter: Jasmin bought a new round backpack. Its area is 370 square centimetres. What is the round backpack’s diameter?

113. Finding a Circle's Area: Captain America’s circular shield has a diameter of 76.2 centimetres. What is the area of his shield?

114. Finding a Circle’s Radius: Skylar lives on a farm, where his dad keeps a circular corn maze. The corn maze has a diameter of 2 kilometres. What is the maze’s radius?

Variables word problems

Best for: 6th grade, 7th grade, 8th grade

115. Identifying Independent and Dependent Variables: Victoria is baking muffins for her class. The number of muffins she makes is based on how many classmates she has. For this equation, m is the number of muffins and c is the number of classmates. Which variable is independent and which variable is dependent?

116. Writing Variable Expressions for Addition: Last soccer season, Trish scored g goals. Alexa scored 4 more goals than Trish. Write an expression that shows how many goals Alexa scored.

117. Writing Variable Expressions for Subtraction: Elizabeth eats a healthy, balanced breakfast b times a week. Madison sometimes skips breakfast. In total, Madison eats 3 fewer breakfasts a week than Elizabeth. Write an expression that shows how many times a week Madison eats breakfast.

118. Writing Variable Expressions for Multiplication: Last hockey season, Jack scored g goals. Patrik scored twice as many goals than Jack. Write an expression that shows how many goals Patrik scored.

119. Writing Variable Expressions for Division: Amanda has c chocolate bars. She wants to distribute the chocolate bars evenly among 3 friends. Write an expression that shows how many chocolate bars 1 of her friends will receive.

120. Solving Two-Variable Equations: This equation shows how the amount Lucas earns from his after-school job depends on how many hours he works: e = 12h . The variable h represents how many hours he works. The variable e represents how much money he earns. How much money will Lucas earn after working for 6 hours?

How to easily make your own math word problems & word problems worksheets

Armed with 120 examples to spark ideas, making your own math word problems can engage your students and ensure alignment with lessons. Do:

• Link to Student Interests:  By framing your word problems with student interests, you’ll likely grab attention. For example, if most of your class loves American football, a measurement problem could involve the throwing distance of a famous quarterback.
• Make Questions Topical:  Writing a word problem that reflects current events or issues can engage students by giving them a clear, tangible way to apply their knowledge.
• Include Student Names:  Naming a question’s characters after your students is an easy way make subject matter relatable, helping them work through the problem.
• Be Explicit:  Repeating keywords distills the question, helping students focus on the core problem.
• Test Reading Comprehension:  Flowery word choice and long sentences can hide a question’s key elements. Instead, use concise phrasing and grade-level vocabulary.
• Focus on Similar Interests:  Framing too many questions with related interests -- such as football and basketball -- can alienate or disengage some students.
• Feature Red Herrings:  Including unnecessary information introduces another problem-solving element, overwhelming many elementary students.

A key to differentiated instruction , word problems that students can relate to and contextualize will capture interest more than generic and abstract ones.

Final thoughts about math word problems

You’ll likely get the most out of this resource by using the problems as templates, slightly modifying them by applying the above tips. In doing so, they’ll be more relevant to -- and engaging for -- your students.

Regardless, having 120 curriculum-aligned math word problems at your fingertips should help you deliver skill-building challenges and thought-provoking assessments.

The result?

A greater understanding of how your students process content and demonstrate understanding, informing your ongoing teaching approach.

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1st Grade Addition Word Problems Up to 20

Welcome to our 1st Grade Addition Word Problems Worksheets. Here you will find a wide range of free printable addition Worksheets, which will help your child practice solving a range of addition problems using numbers with a sum of up to 20.

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1st Grade Addition Word Problems

Addition problems with a sum of up to 20.

Each sheet consists of adding two or three numbers with a total of up to 10, 15 or 20.

There is a space on each sheet for working out, using whichever method you wish your child to use.

There are also UK versions of some of the worksheets which use pounds (£) instead of dollars($).

Using these sheets will help your child to:

• recognise addition word problems;
• add with numbers up to 10, 15 or 20.

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• Addition Word Problems up to 10
• Addition Word Problems up to 15
• Addition Word Problems up to 20
• Easier/Harder Addition Worksheets
• More related resources
• Addition Word Problems up to 20 Online Quiz

1st Grade Addition Word Problems up to 10

• Addition Word Problems to 10 Sheet 1
• PDF version
• Addition Word Problems to 10 Sheet 2

This sheets has word problems with 3 addends.

• Addition Word Problems to 10 Sheet 3

1st Grade Addition Word Problems up to 15

• Addition Word Problems to 15 Sheet 1
• Addition Word Problems to 15 Sheet 2
• Addition Word Problems to 15 Sheet 3

First Grade Addition Word Problems up to 20

• Addition Word Problems to 20 Sheet 1
• UK Version Sheet 1
• UK PDF version
• Addition Word Problems to 20 Sheet 2
• UK Version Sheet 2
• Addition Word Problems to 20 Sheet 3
• UK Version Sheet 3

Looking for some easier worksheets?

Take a look at our Addition sentences to 12.

On this page, your child will learn to work out basic addition sums up to 12 by counting objects.

• Addition Sentences to 12

Looking for some harder worksheets?

Take a look at our 1st Grade Addition facts Worksheets page with numbers up to 12+12.

On this page, your child will learn to work out basic addition sums to 12+12.

• Addition Facts to 20 Worksheets

These sheets involve solving a range of addition word problems within 100.

• Addition Word Problems 2nd grade

More Recommended Math Worksheets

Take a look at some more of our worksheets similar to these.

First Grade Place Value & Counting Worksheets

Here you will find a range of Free Printable First Grade Place Value games.

Using these sheets will help your child learn to:

• understand place value to 100.
• Math Place Value Worksheets Tens and Ones
• Basic Math Worksheets - Ordering 2-digit numbers
• Greater than Less than Worksheets - up to 2 digit numbers
• Printable Counting Worksheets to 50
• 1st Grade Math Worksheets Counting by 1s and 10s

More First Grade Addition Worksheets

Here you will find some more of our 1st Grade Addition Worksheets.

• Number Bonds to 10 and 12
• Addition Fact Practice to 12
• Adding tens
• 2 Digit Addition Without Regrouping
• 2 Digit Addition Worksheets With Regrouping
• Free Addition Worksheets (randomly generated)

1st Grade Math Word Problems

Here you will find a range of math word problems aimed at first grade level. Each problem sheet is based on an interesting theme such as parties or the seaside.

Using these first grade math worksheets will help your child to:

• Add and subtract with numbers to 12;
• order numbers to 100;
• solve a range of math problems.

All the math problem sheets in this section support Elementary math benchmarks.

• Math Problems for Children 1st Grade
• 1st Grade Subtraction Word Problems
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Longer Math Problems

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Addition Word Problems to 20 Online Quiz

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This quick quiz tests your knowledge and skill at solving addition word problems within 20.

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Solving Word Problems (Grades 1-2)

Our Solving Word Problems lesson plan provides students with strategies to help them solve word problems, such as using illustrations or drawings. Students practice solving example word problems using the given strategies.

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Our Solving Word Problems lesson plan develops math problem-solving strategies for young students. This interactive lesson equips students to identify and define keywords and use pictures or diagrams for math problem solving (addition and subtraction). Students are asked to work collaboratively, in pairs, to compose word problems that incorporate pictures or diagrams and exchange problems with other groups to solve. Students are also asked to individually complete practice problems in order to demonstrate their understanding of the lesson.

At the end of the lesson, students will be able to identify and define keywords and use pictures or diagrams for math problem solving (addition and subtraction).

State Educational Standards: LB.Math.Content.1.OA.A.2, LB.Math.Content.2.OA.A.1

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Solving Word Problems

This concept is hard for students. Thanks for explicit lesson on solving word problems.

We recently began homeschooling my son, after learning that he has not been being taught many subjects due to being in self-contained unit at school because of his behavioral issues. After explaining a few things to him, the material really helped to guide him on to the next part in our efforts to get him caught up. Thank you.

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Problem Solving Grade 1

Problem Solving Grade 1 - Displaying top 8 worksheets found for this concept.

Some of the worksheets for this concept are 1st grade word problem work, 1st grade word problem work, Grade 1 addition word problems, Grade 1 mathematics standards based skills work, Social problem solving bie, Word problem practice workbook, Problem solving scenarios, Problem solving therapy a treatment manual.

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2. 1st grade word problem worksheets, 3. grade 1 addition word problems, 4. grade 1 mathematics standards-based skills worksheet, 5. social problem solving freebie, 6. word problem practice workbook, 7. problem solving scenarios, 8. problem-solving therapy: a treatment manual.

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Grade 1 Math Samples

Non-common core, common core, teks (for texas), strategies for addition & subtraction unit.

• Unit Description

Reading a Book

Students determine if Riley read 17 pages in her book.

Birds in Trees

Students count the total number of mother and baby birds Hailey sees in three trees.

Strategies for Addition & Subtraction Unit

The Strategies for Addition and Subtraction Unit involves understanding the processes of addition and subtraction in order to solve problems and answer questions such as—

• If we know all of the parts, how can we find the whole?  
• If we know the whole and one of the parts, how can we find the missing part?  
• Given an equation, can you create an addition or subtraction situation to match it? How can you prove it matches the equation?
• Standard Description

Betty's Balloons

Students determine how many balloons Betty has left after giving some to Ben.

Students determine how many plastic dinosaurs Danny has left after he gives some to a friend.

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.

Making Lemonade

Given a total of 14 lemons, students determine if Mary has enough lemons to make two glasses of lemonade.

Given three sets of numbers, students determine the total number of birds that come to a birdbath.

The Strategies for Addition and Subtraction Unit involves understanding the processes of addition and subtraction in order to solve problems and answer questions such as:

TEKS standards covered: 1.3A, 1.3D, 1.3E, 1.3F, 1.5D, 1.5G

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Visual Models for Problem Solving in 1st Grade

May 10, 2020

As students enter 1st grade, they continue to work on math comprehension using early structures, like the Kindergarten journal we introduced last week, but now we begin to add visual models to the mix!

Let’s recap a child’s developmental journey through problem solving:

• In the early childhood years, a child needs lots of developmentally appropriate experience interacting with real objects in a physical world . 
• The physical world is captured in a quantitative picture , which young children observe and use as a springboard for mathematical conversations.
• We transition into a more structured math work mat to help young students be able to connect numbers to words and words to numbers, still using familiar situations from real life.
• The math work mat gives way to a formal math journal in Kindergarten that makes use of math comprehension skills. It provides a structure for students to explain their understanding of numbers within real world situations that will carry on throughout elementary school. 

Each of the stages of development builds on the skills developed in the previous step, so it is important that students aren’t rushed through these stages. The goal is to teach students the why behind the how so they aren’t just memorizing procedures but truly understand what is happening as they solve problems.

This 1st grade year is the last stage in the Math4Littles progression , in my opinion. After this, there isn’t much scaffolding, so we really want to carefully implement all the previous stages of problem solving before we turn the students loose, because we don’t want them to start guessing and checking. In taking students on this developmental journey, we are trying to build them a solid foundation for visual models to help them to understand problem solving. 

How We Used to Teach Problem Solving

When I was teaching 1st grade, I remember a strategy that we used for problem solving called the C.U.B.S. method. Each of those letters stood for a step in the problem solving process so students could remember what to do: C – circle the numbers, U – underline the word, B – box the operation, S – solve the problem. Seems like a simple process that gives kids a really great structure to start to understand what words problems are asking, right? But what I realized is that this strategy doesn’t hold up long term.

“Shannon has 5 lollipop and Scott has 4 more lollipops than Shannon. How many do they have all together?” 

I watched students follow that procedure with this type of problem. They circled the 4 and 5, underlined important information and put a box around the words all together , which means add because we’ve all seen the T-charts of addition/subtraction vocabulary – it says difference , it means we’re going to subtract, if you see all together , we’re going to add. But that strategy gives me 4, 5, and all together . If you go back to the question, you’ll realize the answer isn’t 9.

As I often do, I asked myself why ? Why isn’t it 9? A little more reading comprehension is required to decode that answer. The problem says I had 5 lollipops. Scott had 4 more than me, which means he also had 5. Adding that up, he had 9 and I had 5, so there were 14 all together.  

Why are we teaching kids procedures with concepts they don’t understand? Sometimes the strategies that we teach in math are conditional, meaning they only work for a certain amount of kids or a certain length of time. Then you have to worry about teaching them when to apply it and the rules for applying it, and what was meant to make things easier for students ends up being more complicated.

When we start working with strategies, I want to be able to find that vertical zip, meaning if I show you how this strategy might work in first grade, it has to work as the child gets older too so that they don’t have to learn a whole new set of strategies every year because every teacher teaches it differently. Honestly, the CUBS method would probably work for 75% of the problems in first grade. Students are doing more advanced part-whole addition problems, part-whole subtraction, part-whole missing addends, and they’ll start doing a few multi-step problems, all of which fit in the part-whole family, for which the CUBS method works well. But when you move out of that genre of problems, it falls apart. 

In the Kindergarten journal, we featured part-whole addition, part-whole subtraction, part-whole missing addend, a few problems with teen numbers, and a mixed review. The journal is very structured because it is intended to start students thinking about what they’re reading in the story problem: We have a story, a sentence form, a quick draw area, a number bond, a 10-frame, and a computation area. As they transition to 1st grade, how do we remove some of that scaffolding while still keeping it developmentally appropriate?

We have to be really careful with the way we make this transition, because very quickly, students can jump to the “circle the numbers, box the word” strategy and many times they just appeal to us because they don’t know what to do. It’s a word problem and it’s confusing, so they just add because we’re talking about adding that week. 

Additive Comparison Problems 

Additive comparison problems, where I have an amount and you have the same amount but you may have more or less than I do, are introduced after students have spent some time working on multi-step part-whole problems.

This type of problem is really a play on language, in my opinion, which makes it really confusing for kids to understand exactly what it is asking. So, we really want kids to take a step back to understand the additive comparison problems, which are coded AC in our journals. I find that building these problems with unfix cubes is a good way to start.

Let’s take this problem: Shannon has 10 pet rocks and Sherry has 4 pet rocks. How many more rocks does Shannon have than Sherry?

In some ways it seems like this might be a missing addend problem, but in fact we’re really comparing my pet rocks to Sherry’s pet rocks and we’re asking how many more does one have than the other. This really requires students to take it to the concrete level and make a bar model with unifix cubes.

I put 10 cubes to represent Shannon’s pet rocks, and then I’ll use different color cubes to show Sherry’s 4. Then, I want to compare the lengths of those two bars and figure out what the problem is really asking, which is the gap between where Sherry’s bar stops and Shannon’s bar stops. The question mark is asking for how many more does Shannon have? 

Sometimes, the language of an additive comparison problem might be reversed and say how many less does Sherry have? Since it is a play on words, which sometimes becomes confusing for students, we really need to put thought into how we go about teaching kids to do a problem like this.

Visual Models for Additive Comparison Problems

If I were to line up all the programs we work with, every one of them has bit of a different name for visual models: model drawings, tape diagrams, bar models, unit bars. We’re going to universally call them visual models for word problems. 

These aren’t the little quick draws we’ve been doing in Kindergarten because, as students get older and the problems get more complex, I’m not going to be able to draw 13 ducks and then 9 more because it will take too long! Instead, I want to put it into a visual model that has these units.

This first grade year is a transitional time where kids are going from the quick draw to what I’m going to call proportional bars, which have a length of individual cubes that are representative of the quantities we’re talking about in the problem.

I just was working with a first grade teacher last week on a Zoom call, and this teacher had not been able to attend our workshop on their campus about visual models. She, like most teachers I work with, didn’t understand why visual models were so important. She thought her students should be able to do quick draws and didn’t understand why they had to do boxes. She told me she was a big proponent of encouraging students to solve problems in different ways, so why would she possibly want to teach students a procedure like this and make them solve word problems in this way. 

After I took her through the same progression of problem solving we’ve been going through in our blog the past few weeks, she was sold! I took her up through fifth grade to help her see why it is that, in 1st grade, we’re asking students to stop doing quick draws and start to use a visual model that has a unit bar with different pieces. This proportional model is also a great transition into using a non-proportional bar.

Let’s say I had 92 pet rocks and Sherry has 45 pet rocks. A quick draw clearly won’t work for this problem, and I don’t have enough room on my paper to draw a proportional model for those numbers. But I can draw a longer bar that represents Shannon’s rocks, write in 92 rocks, and draw a shorter bar to show Sherry’s 45 rocks so I could see the proportionality. 

The hardest thing to remember when we do visual models for word problems is that it actually has nothing to do with math! We’re not actually solving the problem on the model; we are solely using a reading comprehension strategy.  

One of the biggest misconceptions we addressed when we started rolling out the 1st grade journal samples that I’ll be using in this video, was that the total doesn’t go on the line. If the problem asks for a total, we represent that in the visual model with a question mark. 

We also want to make sure that we label the visual model. For example, putting a B above the books that Erin had and an L above the books she got at the library. 

The whole point of this process is to provide a systematic way for students to work through problems that doesn’t stop working after 1st grade or when you start working on a different type of story problem. In fact, this strategy carries through multiplicative comparison problems and fractions, all the way into ratios and proportions in middle school. 

Step-by-Step Problem Solving

Read the problem. Then, have someone read it and repeat it, and every time a new piece of math information is presented, we’re going to put a chunk. So, as kids are reading the problem, they start to learn how to dissect what’s being asked. 

Not all first grade students will be able to read the story problem, but this process is modeled day after day after day in the first grade classroom, so eventually the child will become independent. 

I’m going to read a story problem: Mark has 9 strawberries, 6 of them are small. The rest are large. How many strawberries are large? 

Then, I’ll go back and read it in chunks: Mark has 9 strawberries . This is a new piece of mathematical information, so students will repeat that statement back and highlight or put a line there. The students also like to say chunk! Then we continue reading: Six of them were small. I’ll stop, repeat it, and the students say chunk! as they mark that chunk in their journals. Now we have two pieces of mathematical information. Let’s continue: The rest were large . Repeat and then chunk! So, we’ve got three sections of information that the problem has given us that we need to replicate in our visual model.  Finally, How many strawberries are large? Repeat that and then chunk!

By going through the problem slowly and methodically, students can really see these sections that they’re reading, and, as they’re going on to the subsequent steps of solving the problem, they can actually check off that they’ve included all the chunks of information in their visual model. 

In our problem, it asked me how many strawberries are large? To put it in a sentence form, I would say: Mark has ____ large strawberries. I like to say Hmm for the ____  as we’re reading it out loud.

In Kindergarten, we provide the sentence for students, leaving the blank space for their answer. But in 1st grade, we take some of the scaffolding away. It might say “There were _____ large ____” and the students have to fill in the blanks.

The sentence form is a great way to make sure that kids are comprehending what they’re reading. Generally, students in first grade have a difficult time trying to create a sentence form, because they aren’t yet developmentally ready to give you a complete answer in reading. But students will be required to do a sentence form in 2nd through 5th grade so we can be sure they understand the problems being asked, so it’s really great practice to start in 1st grade with the scaffolding.

Proportional model. We start the 1st grade year with a proportional model. We may scaffold here for the who or the what, and students will eventually start to learn what goes in that visual model. In this case, we’re talking about all of Mark’s strawberries, even though the question itself is only asking about how many of them are large.

In a proportional model, you might see the 9 squares. This is a missing addend problem so that title is going to have PWMA at the top, and there will be exactly nine squares. Some people might think that’s giving it away, but remember the goal of visual models? It’s not to solve the problem but understand what’s going on in the problem, so we’re more concerned about whether or not the student can label the drawing correctly. 

In this example, the student would total the bar at 9 and check off the first chunk of the problem that we read earlier –  Mark has nine strawberries.

The next part says “6 of them are small.” In 6 of my boxes, I’ll make six Xs, or I might make small circles, and at the top I can either write small or abbreviate with an s . 

Then it says “the rest are big.” I could label that other section of the boxes B for big, or write the whole word if I wanted. Then,  I need to put a question mark above that section between 9 (the total number of strawberries) and 6 (the number of small strawberries). That section represents the large strawberries, which is what my sentence form reminds me that I’m looking for. 

Technically, a student could just look at this easy proportional model and say there are 3 large strawberries because it’s right there in front of them. So some people might think this journal is just too easy, but at the end of the day, students are solidifying the process. They’re going back up to the problem and putting a check when they add Xs or circles for the six small strawberries. They’re putting in a check when they’ve talked about putting in the large strawberries. Then they put a question mark to show what we’re looking for. There’s a lot of detail that we’re looking for kids to have to interact with the text in math to show the comprehension. 

In some of our schools, we will do a unit bar at the bottom of the page. In the 1st grade journal we’ve created for Math4Littles, we’re going to leave the bar off and introduce the non-proportional bar a little bit later in the year. There is nothing wrong with having a model of the proportional bar and then underneath it having the non-proportional bar. In our journal, we plan to show the proportional bar, and then bring in both types of bars so that kids could see the relationship between the two. If where about this non proportional bar, where would I slice it to put the nine in? And then where’s my question mark? is it labeled? etc. 

The integral parts of visual models are: labelling the who or what, taking the bar and adjusting it based on the information that’s given, and writing in their question mark. Then it’s time to solve!

Computation. Although this step might not seem necessary because our sample problem is so simple, and to first graders after they do so many, it seems simple and both teachers and students might wonder why they’re even doing it, but I can promise that these problems will become more complex, very quickly. In our 1st grade journal, we will feature this look at the proportional bar, and then transition to having proportional and non proportional models, and then eventually just leaving it blank and having the student put in a non proportional bar to see that they can develop this progression. 

1st Grade Goals

The goal is, by the end of their first grade year, students should be able to solve problems with larger numbers and a non-proportional bar. You certainly don’t want to rush that progression. 1st grade is a really nice scaffold for students to get to that point of independence, because when we get to 2nd grade, we don’t do a whole lot of scaffolding. There are more open-ended sentences, more blanks, and students are doing more of the work.

Additionally, we want to mix up the types of problems we’re solving, give students time to understand them. You might do three days of part-whole addition to see if they can get it under their belt. Then do some part-whole subtraction, then mix the two to see if students are just following a pattern where we’re adding today or subtracting today. We want to know that they can really apply what they’re learning. Multi-step problems, where students have to add and then subtract, or vice versa, are next. Give students lots of good practice, and then mix it up again to see if they’re really following the words, or if they’re just learning a procedure. The last type of problem that we would integrate in the first grade is additive comparisons. 

Video Tutorials

In the video tutorials, you’ll see aspects of four different problems being displayed. Some will have the proportional bar, some will have the proportional and the non proportional and some just won’t have it just so you can get an overall idea of what this looks like as we go.

[yotuwp type=”playlist” id=”PL76vNL0J-a405ysBIwEwXfaMp5883yGh4″ ]

As you watch the videos, think about how you could set this up in your classroom, starting with some of the sample problems that we’re offering as a free download today. We will be releasing a full 1st grade journal soon, so stay tuned! 

Join us next week for problem solving in 2nd grade: What are the different problems that 2nd grade is going to encounter? How are journals coded?  As we start to look at how journals are coded, which you certainly could use these tutorial videos right away in your classroom or in your distance learning by thinking about story problems in a different way.

*Addition , *Subtraction , *Word Problems , Audience - Lower Elementary (K-2) , Series - Math4Littles | 0 comments

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Free Printable Solving Equations Worksheets for 1st Grade

Solving Equations just got more exciting for Grade 1 students! Discover our collection of Free Printable Math Worksheets, carefully crafted by Quizizz to enhance learning and build a strong foundation in mathematics.

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Solving Equations worksheets for Grade 1 are an essential tool for teachers looking to introduce their students to the world of Math and Algebra. These worksheets are specifically designed to help young learners grasp the concept of One-Variable Equations in a fun and engaging manner. By incorporating a variety of exercises and problems, these worksheets enable teachers to provide a comprehensive learning experience for their Grade 1 students. From simple addition and subtraction problems to more complex equations, these worksheets cover a wide range of topics that are crucial for building a strong foundation in Math and Algebra. Moreover, the use of visually appealing graphics and illustrations helps to keep the students interested and motivated. Solving Equations worksheets for Grade 1 are an indispensable resource for teachers who want to ensure their students excel in this critical subject area.

Quizizz is an excellent platform that offers a plethora of resources, including Solving Equations worksheets for Grade 1, to help teachers create an interactive and engaging learning environment for their students. With Quizizz, teachers can access a vast library of pre-made quizzes and worksheets, covering various topics in Math, Algebra, and One-Variable Equations. These resources are designed to cater to the unique learning needs of Grade 1 students, ensuring that they grasp the concepts effectively. Additionally, Quizizz allows teachers to track their students' progress and performance, enabling them to identify areas that require improvement and tailor their teaching methods accordingly. The platform also offers various game-based learning activities, which can be used to reinforce the concepts taught through the worksheets. By incorporating Quizizz into their teaching arsenal, teachers can ensure that their Grade 1 students develop a strong foundation in Math and Algebra, setting them up for success in their academic journey.

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11 Real World Math Activities That Engage Students

Bridging the gap between abstract math concepts and real life experiences can make the subject accessible and relevant for kids.

During a unit on slope, José Vilson’s students just weren’t getting it, and their frustration was growing. The former middle school math teacher began brainstorming creative ways to illustrate the concept. “I kept thinking, ‘My students already understand how this works—they just don’t know that they know,’” Vilson writes in a recent article for Teacher2Teacher . “How can I activate knowledge they don’t believe they have?”

Then he thought about a hill a couple of blocks from school that his students “walk up every day to get to the subway.” He tacked up paper and began sketching stick figures on the hill. “One was at the top of the hill, one was halfway up, one was near the bottom skating on flat ground, and one was on a cliff,” writes Vilson, now the executive director of EduColor. “Which of these figures will go faster and why?” he asked his students. “That got my kids laughing because, of course, my stick figures weren’t going to hang in the MoMA.” Still, his sketch got them thinking and talking, and it provided a simple stepping stone that “gave that math relevance and belonging in their own lives,” Vilson concludes. 

“It’s not unusual for students to walk into our classrooms thinking that math belongs to people who are smarter, who are older, or who aren’t in their immediate circle,” Vilson writes. “But every time I teach math in a way that’s accessible and real for my students, I’m teaching them: ‘The math is yours.’”

To build on Vilson’s idea, we posted on our social channels asking teachers to share their favorite strategies for connecting math to students’ experiences and lives outside of school. We received hundreds of responses from math educators across grade levels. Here are 11 teacher-tested ideas that get students seeing and interacting with the math that surrounds them each day.

Hunt for clues

Coordinate systems can feel abstract to some students—but using coordinates to navigate a familiar space can solidify the concept in a relevant and fun way. “Before starting a unit on coordinates, I make gridded maps of the school—I make them look old using tea staining —and send my students off on a treasure hunt using the grid references to locate clues,” says Kolbe Burgoyne, an educator in Australia. “It’s meaningful, it’s fun, and definitely gets them engaged.”

Budget a trip

Students enjoy planning and budgeting for imaginary trips, teachers tell us, offering ample opportunities to practice adding, subtracting, and multiplying large numbers. In Miranda Henry’s resource classroom, for example, students are assigned a budget for a fictional spring break trip; then they find flights, hotels, food, and whatever else they’ll need, while staying within budget.

Math teacher Alicia Wimberley has her Texas students plan and budget a hypothetical trip to the Grand Canyon. “They love the real world context of it and start to see the relevance of the digits after the decimal—including how the .00 at the end of a price was relevant when adding.” One of Wimberley’s students, she writes, mixed up his decimals and nearly planned a $25,000 trip, but found his mistake and dialed back his expenses to under $3,000.

Tap into pizza love

Educators in our audience are big fans of “pizza math”—that is, any kind of math problem that involves pizza. “Pizza math was always a favorite when teaching area of a circle,” notes Shane Capps. If a store is selling a 10-inch pizza, for example, and we know that’s referring to its diameter, what is its total area? “Pizza math is a great tool for addition, subtraction, multiplication, word problems, fractions, and geometry,” another educator writes on our Instagram. There are endless pizza-based word problems online. Here’s a simple one to start, from Jump2Math : “The medium pizza had six slices. Mom and Dad each ate one slice. How much pizza is left?”

Break out the measuring cups

Lindsey Allan has her third-grade students break into pairs, find a recipe they like online, and use multiplication to calculate how much of each ingredient they’d need in order to feed the whole class. The class then votes on a favorite recipe, and they write up a shopping list—“which involves more math, because we have to decide, ‘OK, if we need this much butter for the doubled recipe, will we need three or four sticks, and then how much will be left over?’” Allan writes. “And then it turns out students were also doing division without even realizing!” 

Sometimes, a cooking mistake teaches students about proportions the hard way. “Nobody wants a sad chocolate chip cookie where you doubled the dough but not the chocolate chips,” adds teacher Holly Satter.

Heading outdoors is good for kids’ bodies , of course, but it can also be a rich mathematical experience. In second grade, kids can head out to measure perimeters, teacher Jenna McCann suggests—perhaps of the flower boxes in the school garden. If outdoors isn’t an option, there’s plenty of math to be found by walking around inside school—like measuring the perimeter of the tables in the cafeteria or the diameters of circles taped off on the gym floor.

In Maricris Lamigo’s eighth-grade geometry class, “I let [students] roam around the school and take photos of things where congruent triangles were applied,” says Lamigo. “I have students find distances in our indoor courtyard between two stickers that I place on the floor using the Pythagorean theorem,” adds Christopher Morrone, another eighth-grade teacher. In trigonometry, Cathee Cullison sends students outside “with tape measures and homemade clinometers to find heights, lengths, and areas using learned formulas for right and non-right triangles.” Students can make their own clinometers , devices that measure angles of elevation, using protractors and a few other household items.

Plan for adult life

To keep her math lessons both rigorous and engaging, Pamela Kranz runs a monthlong project-based learning activity where her middle school students choose an occupation and receive a salary based on government data. Then they have to budget their earnings to “pay rent, figure out transportation, buy groceries,” and navigate any number of unexpected financial dilemmas, such as medical expenses or car repairs. While learning about personal finance, they develop their mathematical understanding of fractions, decimals, and percents, Kranz writes.

Dig into sports stats

To help students learn how to draw conclusions from data and boost their comfort with decimals and percentages, fourth-grade teacher Kyle Pisselmyer has his students compare the win-loss ratio of the local sports team to that of Pisselmyer’s hometown team. While students can struggle to grasp the relevance of decimals—or to care about how 0.3 differs from 0.305—the details snap into place when they look at baseball players’ stats, educator Maggierose Bennion says.

March Madness is a great source of real world data for students to analyze in math class, says sixth-grade math teacher Jeff Norris. Last March, Norris decorated his classroom like a basketball court, then had his students do basic statistical analysis—like calculating mean, median, and mode—using March Madness data, including individual game scores and the total win rate of each team. “We also did some data collection through our own basketball stations to make it personally relevant,” Norris says; students lined up in teams to shoot paper balls into a basket in a set amount of time, recorded their scores in a worksheet, and then examined the scoring data of the entire class to answer questions about mean, median, mode, range, and outliers.

Go on a (pretend) shopping spree

“My students love any activities that include SHOPPING!” says Jessie, a sixth-grade teacher who creates shopping-related problems using fake (or sometimes real) store ads and receipts. Her students practice solving percentage problems, and the exercise includes opportunities to work with fractions and decimals.

To get students more engaged with the work, math educator Rachel Aleo-Cha zeroes in on objects she knows students are excited about. “I make questions that incorporate items like AirPods, Nike shoes, makeup, etc.,” Aleo-Cha says. She also has students calculate sales tax and prompts them to figure out “what a 50% off plus 20% off discount is—it’s not 70% off.”

Capture math on the fly

Math is everywhere, and whipping out a smartphone when opportunities arise can lead to excellent content for math class. At the foot of Mount Elbert in Colorado, for example, math teacher Ryan Walker recorded a short word problem for his fourth- and fifth-grade students. In the video, he revealed that it was 4:42 a.m., and it would probably take him 249 minutes to reach the summit. What time would he reach the summit, he asked his students—and, assuming it took two-thirds as long to descend, what time would he get back down?

Everyday examples can be especially relatable. At the gas station, “I record a video that tells the size of my gas tank, shows the current price of gas per gallon, and shows how empty my gas tank is,” says Walker. “Students then use a variety of skills (estimation, division, multiplying fractions, multiplying decimals, etc.) to make their estimate on how much money it will cost to fill my tank.”

Connect to social issues

It can be a powerful exercise to connect math to compelling social issues that students care about. In a unit on ratios and proportions, middle school teacher Jennifer Schmerler starts by having students design the “most unfair and unjust city”—where resources and public services like fire departments are distributed extremely unevenly. Using tables and graphs that reflect the distribution of the city’s population and the distribution of its resources, students then design a more equitable city.

Play entrepreneur

Each year, educator Karen Hanson has her fourth- and fifth-grade students brainstorm a list of potential business ideas and survey the school about which venture is most popular. Then the math begins: “We graph the survey results and explore all sorts of questions,” Hanson writes, like whether student preferences vary with age. Winning ideas in the past included selling T-shirts and wallets made of duct tape.

Next, students develop a resource list for the business, research prices, and tally everything up. They calculate a fair price point for the good they’re selling and the sales quantity needed to turn a profit. As a wrap-up, they generate financial statements examining how their profits stack up against the sales figures they had projected.

HELP OTHER TEACHERS OUT!

We’d love this article to be an evolving document of lesson ideas that make math relevant to kids. So, teachers, please tell us about your go-to activities that connect math to kids’ real world experiences.

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