problem solving steps grade 5

Free Printable Multi-Step Word Problems Worksheets for 5th Grade

Multi-Step Word Problems: Discover a vast collection of free printable math worksheets for Grade 5 students, designed to help them master complex problem-solving skills through engaging and challenging exercises.

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Explore printable Multi-Step Word Problems worksheets for 5th Grade

Multi-Step Word Problems worksheets for Grade 5 are an essential resource for teachers looking to challenge their students and enhance their problem-solving skills in Math. These worksheets provide a variety of real-life scenarios that require students to apply their knowledge of mathematical concepts and operations to solve problems. By incorporating multi-step word problems into their lesson plans, teachers can help students develop critical thinking and reasoning skills, as well as improve their ability to communicate their thought processes. Furthermore, these Grade 5 Math Word Problems worksheets are designed to align with the Common Core State Standards, ensuring that students are mastering the skills necessary for success in higher-level math courses. In conclusion, Multi-Step Word Problems worksheets for Grade 5 are an invaluable tool for teachers seeking to engage their students in meaningful and challenging mathematical tasks.

Quizizz is an innovative platform that offers a wide range of educational resources, including Multi-Step Word Problems worksheets for Grade 5, to help teachers create engaging and interactive learning experiences for their students. In addition to worksheets, Quizizz provides teachers with access to thousands of quizzes, games, and other activities that can be easily integrated into lesson plans to reinforce key concepts and assess student understanding. The platform also offers valuable features such as real-time feedback, progress tracking, and personalized learning paths, allowing teachers to monitor student performance and provide targeted support as needed. By incorporating Quizizz into their teaching strategies, educators can create a dynamic and collaborative learning environment that promotes the development of essential math skills and fosters a love for learning among their Grade 5 students.

Multi-Step Word Problems 5th Grade Worksheets

Multi-step word problems 5th grade worksheets help students in understanding how to solve word problems in a step-by-step process. Each problem is different and requires multiple steps in reaching the solution. These worksheets help students in practicing problems to understand each step used.

Benefits of 5th Grade Multi-Step Word Problems Worksheets

Multi-step word problems 5th grade worksheets follow a stepwise mechanism which makes it easier for students to approach a problem and gives them time to solve problems at their own pace. These 5th grade math worksheets have visual simulations that help students see things in action. Also, these worksheets come along with an answer key showcasing detailed step-by-step solutions to all the practice questions that in return help students in understanding the concept better.

Printable PDFs for Grade 5 Multi-Step Word Problems Worksheets

Multi-step word problems worksheets for grade 5 are simple and easy to work with, students can download the PDF format of these worksheets to practice at their own pace.

• Math 5th Grade Multi-Step Word Problems Worksheet
• Grade 5 Math Multi-Step Word Problems Worksheet
• 5th Grade Math Multi-Step Word Problems Worksheet
• Multi-Step Word Problems Worksheet for 5th Grade

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• 5th Grade Math
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5th Grade math problems worksheets with answers: Practice makes perfect

If you have a 5th grader who loves solving math all the time or needs some motivation and extra practice to perfect their problem-solving skills in math, you've come to the right place! This article will offer you outstanding 5th Grade math problems worksheets with answer s fit to challenge even the most savvy math whiz.

Solving 5th Grade math problems: Worksheets with step-by-step answers

Get ready to make math a thrilling adventure for your 5 th graders with a range of fun and easy solving 5th Grade math problems . These worksheets are given with step-by-step answers sheets guide, helpful in assessing student performance and solving skills quickly.

These exciting 5th Grade math problems worksheets with answers cover topics such as addition and subtraction, multiplication and division, fractions and decimals, geometry and measurement, data and probability, and more.

In addition to the types of worksheets, this article will give you 10 awesome math problems for 5th grade with solutions and tips and tell you how to use math problems worksheets to prepare for tests and assessments. And finally, we'll point you to some of the best free and paid resources where you can find more math problems worksheets for 5th grade. Ready to dive in? Let's go!

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Download free worksheets, 5th grade math topics.

• Number sense
• Addition and subtraction

Multiplication

• Number theory
• Add & subtract decimals
• Multiply decimals
• Divide decimals
• Fractions & mixed numbers
• Add & subtract fractions
• Multiply fractions
• Divide fractions
• Mixed operations
• Problems solving
• Ratios and rates
• Percentages
• Number sequences
• Coordinate graph
• Variable expressions
• Data and Graphs
• Probability and statistics
• Telling time
• Unit of measurements
• Triangles & quadrilaterals
• Symmetry & transformations
• Geometric measurements

Start practice on Fifth Grade here

How to make math fun and engaging for your 5th grader.

Math can be challenging for many students, especially as they advance to higher grades and encounter more complex concepts and operations. Some students may feel bored, frustrated, or anxious about math and lose interest or confidence in their abilities. That's why it's important to make math fun and engaging for your 5th grader and to show them that math is practical, enjoyable, and rewarding.

Here are some tips on how to make math fun and engaging for your 5th grader

• Use games, puzzles, riddles, and brainteasers to stimulate your child's curiosity and creativity . Games can help your child develop logical thinking, problem-solving, and strategic skills and reinforce essential math facts and operations. You can find many online games suitable for 5th graders or create your games using cards, dice, dominoes, or other materials.

You can also ask your child questions that require them to use math skills or concepts, such as "How much change will we get if we buy this item?" or "How long will it take us to drive to this destination?"

You can help your child discover the connections between math and their hobbies or passions by exposing them to books, videos, websites, podcasts, or other resources that showcase the beauty and diversity of math.

• Praise your child's efforts and achievements in math . Math can be challenging sometimes, but it can also be very satisfying when your child solves a problem or learns a new concept. You can boost your child's confidence and motivation by acknowledging their hard work and progress in math and celebrating their successes. You can also encourage your child to set goals for themselves in math and to track their improvement over time.

The benefits of using worksheets to practice and reinforce math skills

One of the best ways to make math fun and engaging for your 5th grader is to use worksheets to practice and reinforce math skills. Worksheets are practical tools for learning and reviewing math concepts and operations. Also, they are versatile, flexible, and customizable. You can use worksheets to supplement your child's school curriculum or homework assignments and worksheets as independent practice or enrichment activities.

Here are some of the benefits of using worksheets to practice and reinforce math skills :

• Worksheets provide structured and organized practice for your child . Worksheets help your child focus on specific topics or skills they need to master or improve in math. Worksheets also provide clear instructions, examples, and feedback for your child.
• Worksheets offer variety and challenges for your child . Worksheets can include questions or tasks requiring your child to apply their knowledge or skills differently. Worksheets can also vary in difficulty level, so you can choose the ones that suit your child's needs or goals.
• Worksheets allow your child to work at their own pace and level . Worksheets give your child the freedom and flexibility to work on math problems whenever needed. Worksheets allow your child to work at their own pace and level; they can skip or repeat questions.
• Worksheets foster self-reliance and independence for your child . Worksheets encourage your child to take responsibility for their learning in math. Worksheets also foster self-reliance and independence for your child; they can check their answers using the answer keys provided or the hints or tips in some worksheets.

Discover Mathskills4kids.com 5th Grade math problems worksheets with answers

If you're looking for high-quality, engaging, and challenging math problems worksheets for 5th graders, you've come to the right place! At Mathskills4kids.com , we have created a collection of 5th Grade math problems worksheets with answers covering all the major topics and skills your child needs to know and practice in grade.

Mathskills4kids’ math problems worksheets are designed to help your child develop and improve their math skills and prepare them for tests and assessments. These math problems worksheets are also aligned with the Common Core State Standards for Mathematics, so you can be sure your child is learning the right content and skills for their grade level.

Mathskills4kids math problems worksheets for 5th graders include the following topics:

• Addition and Subtraction Word Problems
• Multiplication and Division Word Problems
• Fractions and Decimals Word Problems
• Geometry and Measurement Word Problems
• Data and Probability Word Problems

Each topic has several worksheets that contain different types of word problems requiring your child to use different strategies or methods to solve them. Some word problems are simple; others are more complex and multi-step. Some word problems are realistic and relatable; others are more abstract or creative. Some word problems are easy and familiar; others are more difficult and novel. The word problems challenge your child's thinking and reasoning skills and test their understanding and application of math concepts and operations.

Also, each worksheet has an answer key showing the correct solution and explanation for each problem. Some worksheets also include hints or tips that provide additional guidance or support for your child. You can use these hints or tips to help your child if they get stuck or need a clue.

Addition and subtraction word problems

Addition and subtraction are two of the most basic and essential math skills your child needs to master in 5th grade. Addition and subtraction are used to perform calculations with whole numbers, decimals, or fractions and to solve various word problems involving adding or subtracting quantities, distances, times, money, etc.

In 5th grade, your child is expected to be able to add and subtract multi-digit whole numbers, decimals up to thousandths, and fractions with unlike denominators. Your child is also expected to be able to solve word problems that involve addition and subtraction of these types of numbers, using different strategies such as estimation, rounding, regrouping, decomposing, or using properties of operations.

To help your child practice and reinforce their addition and subtraction skills, we have created several worksheets that contain different types of addition and subtraction word problems .

Below are some examples of addition and subtraction word problems:

• Alice has 3,456 stickers in her collection. She buys 2 more packs of stickers, each containing 128 stickers. How many stickers does Alice have in total?
• Ben has $45.67 in his bank account. He withdraws $12.50 to buy a gift for his friend. How much money does Ben have left in his account?
• Cindy has 2/3 of a pizza left over from lunch. She eats another 1/6 of a pizza for dinner. How much pizza does Cindy have left?
• David ran 7.5 miles on Monday. He ran 2.25 miles less on Tuesday than on Monday. How many miles did David run on Tuesday?

Multiplication and division word problems

One of the most important math skills that your 5th grader needs to master is solving word problems involving multiplication and division. These problems require them to apply their knowledge of the four operations and their understanding of place value, factors, multiples, and patterns. They will also use logical reasoning and critical thinking to find the best strategy to solve each problem.

To help your 5th grader practice and improve their multiplication and division word problem skills, we have created a set of worksheets that cover a variety of scenarios and situations. Each worksheet has 10 problems, including one-step and multi-step problems and problems with remainders. The worksheets also include answer keys with detailed explanations and tips on how to solve each problem.

Fractions and decimals word problems

Another key topic your 5th grader needs to master is solving word problems involving fractions and decimals. These problems require them to apply their knowledge of equivalent fractions, simplifying fractions, comparing fractions, adding, subtracting, multiplying, and dividing fractions and decimals, and converting between fractions and decimals. They will also use estimation and rounding skills, proportional reasoning, and problem-solving strategies.

To help your 5th grader practice and improve their fractions and decimals word problem skills, we have created a set of worksheets that cover a variety of scenarios and situations. Each worksheet has 10 problems, including one-step and multi-step problems and problems with mixed numbers and improper fractions. The worksheets also include answer keys with detailed explanations and tips on how to solve each problem.

Geometry and measurement word problems

Another essential topic your 5th grader needs to master is solving word problems involving geometry and measurement. These problems require them to apply their knowledge of angles, polygons, circles, area, perimeter, volume, surface area, units of measurement, conversions, and coordinate grids. They will use spatial reasoning, geometric reasoning, and algebraic thinking skills to solve these problems.

To help your 5th grader practice and improve their geometry and measurement word problem skills, we have created a set of worksheets that cover a variety of scenarios and situations. Each worksheet has 10 problems, including one-step and multi-step problems and problems with diagrams and graphs. The worksheets also include answer keys with detailed explanations and tips on how to solve each problem.

Data and probability word problems

Another fun topic your 5th grader needs to master is solving word problems involving data and probability. These problems require them to apply their knowledge of mean, median, mode, range, graphs, tables, charts, surveys, experiments, outcomes, events, probability models, fractions, decimals, percentages, ratios, and rates. They will also use statistical reasoning and inferential thinking skills to analyze data and make predictions.

To help your 5th grader practice and improve their data and probability word problem skills, we have created a set of worksheets that cover a variety of scenarios and situations. Each worksheet has 10 problems, including one-step and multi-step problems and problems with graphs, tables, charts, and diagrams. The worksheets also include answer keys with detailed explanations and tips on how to solve each problem.

10 Awesome math problems for 5th Grade with solutions and tips

To give you a taste of our math problem worksheets for 5th grade, we have selected some of the most awesome math problems from each topic for you to try. These are not your typical math problems, but rather challenging and fun problems that will make your 5th grader think outside the box and use their creativity and logic to solve them. We have also provided the solutions and tips for each problem, so you can check your answers and learn from your mistakes.

Are you ready to take on these excellent math problems?

1. Multiplication Word Problem

Amanda has 12 boxes of chocolates. Each box has 24 pieces of chocolate. She wants to share them equally among her 18 friends. How many pieces of chocolate will each friend get?

Solution : To solve this problem, we need to multiply 12 by 24 to find Amanda's total number of pieces of chocolate. Then, we need to divide that number by 18 to find how many pieces of chocolate each friend will get.

12 x 24 = 288

288 ÷ 18 = 16

Therefore, each friend will get 16 pieces of chocolate.

Tip : To check your answer, reverse the operation and multiply 16 by 18 to see if you get back to 288.

2. Division Word Problem

A school bus can carry 48 students. 216 students are going on a field trip. How many buses will transport all the students?

Solution : To solve this problem, we will divide 216 by 48 to find how many buses are needed to transport all the students.

216 ÷ 48 = 4.5

However, we cannot have half a bus, so we must round up to the following number.

Therefore, 5 buses will transport all the students.

Tip : To check your answer, reverse the operation and multiply 5 by 48 to see if you get more than or equal to 216.

3. Fractions Word Problem

A recipe for a cake requires 3/4 cup of sugar. If you want to make one-third of the recipe, how much sugar do you need?

Solution : To solve this problem, we will multiply 3/4 by 1/3 to find how much sugar we need for half of the recipe.

3/4 x 1/3 = 3/12

Therefore, we need 3/12 cup of sugar for half of the recipe.

Tip : To simplify fractions, you can divide the numerator and the denominator by a common factor. For example, 3/12 can be simplified by dividing both by 3, which gives us 1/4.

4. Decimals Word Problem

A pizza costs $12.50 and has 8 slices. If you eat 3 slices, what fraction of the pizza did you eat? What percentage of the pizza did you eat? How much did you pay for the slices that you ate?

Solution : To solve this problem, we will find the fraction, percentage, and cost of the slices we ate.

To find the fraction, we will divide the number of slices we ate by the total number of slices in the pizza.

3 ÷ 8 = 3/8

Therefore, we ate 3/8 of the pizza.

To find the percentage, we will convert the fraction to a decimal and then multiply by 100.

3/8 = 0.375

0.375 x 100 = 37.5%

Therefore, we ate 37.5% of the pizza.

To find the cost per slice, we will divide the price of the pizza by the total number of slices in the pizza. Then, we will multiply that by the number of slices we ate.

12.50 ÷ 8 = 1.5625

1.5625 x 3 = 4.6875

Therefore, we paid $4.6875 for the slices that we ate.

Tip : To convert a fraction to a decimal, divide the numerator by the denominator. For example, 3/8 = 3 ÷ 8 = 0.375

5. Fraction of a whole word problem

A pizza is cut into 12 equal slices. Amy eats 3 slices, Ben eats 2, and Chris eats 4. What fraction of the pizza is left? How many slices are left?

Solution : To find the fraction of the pizza left, we will subtract the fractions that Amy, Ben, and Chris ate from the whole pizza. The whole pizza is 12/12 or 1. Amy ate 3/12, Ben ate 2/12, and Chris ate 4/12. So, we have:

1 - (3/12 + 2/12 + 4/12) = 1 - (9/12) = 1 - (3/4) = 1/4

So, the fraction of the pizza that is left is 1/4. To find how many slices are left, we can multiply the fraction by the total number of slices:

1/4 x 12 = 3

So, there are 3 slices left.

Tip : To subtract fractions with the same denominator, subtract the numerators and keep the denominator. To subtract fractions with different denominators, you must first find a common denominator.

6. Probability word problem

A bag contains 20 marbles: 8 red, 6 blue, and 6 green. What is the probability of randomly picking a red marble from the bag? What is the probability of picking a blue or a green marble?

Solution : To find the probability of an event, we need to divide the number of favorable outcomes by the total number of possible outcomes. In this case, the total number of possible outcomes is the number of marbles in the bag, which is 20. The number of favorable outcomes for picking a red marble is the number of red marbles in the bag, which is 8. So, we have:

P (red) = 8/20 = 2/5

So, the probability of picking a red marble is 2/5. To find the probability of picking a blue or green marble, we need to add the probabilities of picking a blue marble and a green marble. The number of favorable outcomes for picking a blue marble is the number of blue marbles in the bag, which is 6. The number of favorable outcomes for picking a green marble is also 6. So, we have:

P (blue) = 6/20 = 3/10

P (green) = 6/20 = 3/10

P (blue or green) = P (blue) + P (green) = 3/10 + 3/10 = 6/10 = 3/5

So, the probability of picking a blue or a green marble is 3/5.

Tip : To add fractions with the same denominator, add the numerators and keep the denominator. To add fractions with different denominators, you must first find a common denominator.

7. Geometry and measurement word problem

A rectangular prism has a length of 10 cm, a width of 6 cm, and a height of 4 cm. What is its volume? What is its surface area?

Solution: The volume of a rectangular prism is given by the formula: length × width × height. In this case, the length is 10 cm, the width is 6 cm, and the height is 4 cm. Therefore, the volume of the rectangular prism is:

10 cm × 6 cm × 4 cm = 240 cm³

The surface area of a rectangular prism can be calculated using the formula: 2lw + 2lh + 2wh, where l is length, w is width, and h, is height. In this case, we have:

2(10 cm × 6 cm) + 2(10 cm × 4 cm) + 2(6 cm × 4 cm) = 248 cm²

Therefore, the volume of the rectangular prism is  240 cubic centimeters , and its surface area is  248 square centimeters .

8. Addition and Subtraction Word Problem

Lucy has 12 red apples and 8 green apples in her basket. She gives 5 red apples and 3 green apples to her friend Amy. How many apples does Lucy have left in her basket?

Solution: To solve this problem, we need to use addition and subtraction. First, we need to find out how many apples Lucy had before giving some to Amy. We can do this by adding the number of red apples and the number of green apples:

12 + 8 = 20

Lucy had 20 apples in total.

Next, we will determine how many apples Lucy gave Amy in total. We can do this by adding the number of red apples and the number of green apples that she gave:

Lucy gave 8 apples to Amy.

Finally, we will find out how many apples Lucy has left in her basket. We can do this by subtracting the number of apples that she gave from the number of apples that she had:

20 - 8 = 12

Lucy has 12 apples left in her basket.

Tip : When solving word problems involving addition and subtraction, it helps to identify the keywords that indicate what operation to use. For example, words like "in total," "altogether," "combined," or "sum" indicate addition, while words like "left," "remain," "difference," or "take away" indicate subtraction.

9. Multiplication and Division Word Problem

A pack of pencils contains 12 pencils. How many packs of pencils are needed to supply a class of 30 students if each student needs 2 pencils?

Solution: To solve this problem, we will use multiplication and division. First, we will determine how many pencils are needed for the class. We can do this by multiplying the number of students by the number of pencils per student:

30 x 2 = 60

The class needs 60 pencils in total.

Next, we will determine how many packs are needed to provide 60 pencils. We can do this by dividing the number of pencils by the number of pencils per pack:

60 ÷ 12 = 5

The class needs 5 packs of pencils.

Tip : When solving word problems involving multiplication and division, it helps to identify the keywords that indicate what operation to use. For example, words like "each," "per," "every," or "times" indicate multiplication, while words like "how many,” "groups," "quotient," or "divide" indicate division.

10. Fractions and Decimals Word Problem

A pizza is cut into 8 equal slices. John eats 3 slices, Mary eats 2 slices, and Tom eats 1 slice. What fraction of the pizza is left? What decimal number is equivalent to this fraction?

Solution : To solve this problem, we will use fractions and decimals. First, we will find out how many slices of pizza are left. We can do this by subtracting the number of slices that were eaten from the total number of slices:

8 - (3 + 2 + 1) = 8 - 6 = 2

There are 2 slices of pizza left.

Next, we will find out what fraction of the pizza is left. We can do this by writing the number of slices left as the numerator and the total number of slices as the denominator:

This fraction represents the part of the pizza that is left.

Finally, we will determine what decimal number is equivalent to this fraction. We can do this by dividing the numerator by the denominator:

2 ÷ 8 = 0.25

This decimal number represents the same part of the pizza that is left.

Tip : When solving word problems involving fractions and decimals, it helps to remember that fractions and decimals are different ways of representing parts of a whole.

To convert a fraction to a decimal, you can divide the numerator by the denominator.

To convert a decimal to a fraction, write the decimal as a numerator over a denominator of a power of ten (such as 10, 100, or 1000) and simplify if possible.

How to use 5 th Grade math problems worksheets with answers to prepare for tests and assessments

5 th Grade math problems worksheets are great tools to help students prepare for tests and assessments . They can help students review their learned topics, practice their skills and strategies, and identify their strengths and weaknesses. Here are some tips on how to use math problems worksheets effectively:

• Choose the worksheets matching your student's grade level and the topics they will study . You can find many free and paid resources online.
• Set a goal for each worksheet , such as how many problems you want kids to solve, how much time you want them to spend, or what score you want them to achieve.
• Read the instructions carefully and ask your learners to follow them . They can ask you for help if they are unsure what to do.
• Tell your 5 th graders to show their work and explain their reasoning for each problem . This will help students to check their answers and understand their mistakes.
• Use a calculator only when allowed or necessary . Encourage your 5 th Grade students to do mental math or use paper and pencil whenever possible.
• Check your learner's answers with the answer key or a reliable source . If your students got a problem wrong, try to figure out why and how to fix it.
• Keep track of learner progress and results . You can use a notebook, a spreadsheet, or an online tool to record the worksheets your learners have completed, the problems they have solved, the time they have spent, and the scores they have obtained.
• Review students' work and feedback regularly . Look for patterns in students' errors, such as common mistakes, misconceptions, or gaps. Focus on improving the areas that they need to work on.
• Celebrate their achievements and reward them . Recognize learners’ efforts and accomplishments, and treat them with something they enjoy, such as a snack, a game, or a break.

Where to find more 5th Grade math problems worksheets

If you are looking for more 5 th Grade math problems worksheets , you are in luck! Many websites offer students, teachers, and parents free and paid resources. Here are some of the best ones that we recommend:

• [Math Worksheets 4 Kids]( https://www.mathworksheets4kids.com/ .) - This website has thousands of free printable math worksheets for various topics and grade levels. You can also customize the worksheets according to your preferences and needs.
• [Math-Drills]( https://www.math-drills.com/ .) - This website has over 50,000 free math worksheets covering basic skills, operations, and math concepts. You can also download the worksheets as PDF files or print them directly from the website.
• [K5 Learning]( https://www.k5learning.com/ .) - This website offers free math worksheets, online lessons, quizzes, and kindergarten to grade 5 games. You can also sign up for a free trial or a paid subscription to access more features and resources.
• [Math-Aids]( https://www.math-aids.com/ .) - This website provides free math worksheets that are dynamically generated, meaning that you can create different versions of the same worksheet with different numbers and problems. You can also choose the worksheets' difficulty level, format, and layout.
• [Education. Com]( https://www.education.com/worksheets/math/ .) - This website has an extensive collection of free and premium math worksheets for preschool to grade 5. You can also find other educational resources such as games, activities, lesson plans, and articles.

Thank you for sharing the links of MathSkills4Kids.com with your loved ones. Your choice is greatly appreciated.

Conclusion: Practice Makes Perfect

Math problems worksheets are excellent ways to practice and improve 5 th graders' math skills and problem-solving abilities. They can help kids review what they have learned, reinforce their knowledge, and challenge what they can do.

These worksheets can also prepare students for tests and assessments and boost their confidence and interest in math.

The key is to use them regularly and effectively. Choose the worksheets that suit your student's level and goals, follow the instructions and tips, Encourage them to show their work and check their answers, keep track of their progress and results, review their work and feedback, and celebrate their achievements.

Remember: practice makes perfect ! The more your students practice, the better they will become. So grab some math problems worksheets today and start solving them with your 5 th graders! They'll be amazed by how much fun and rewarding math can be!

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35 math problems for 5th graders

Here are 35 fifth-grade math problems that will help your child stay on track!

Author Amber Watkins

Published September 13, 2023

• Key takeaways
• 5th-grade math word problems help students apply mathematical concepts to real-world scenarios.
• In fifth-grade math, it’s important to master fractions, decimals, and order of operations.
• Hard problems for 5th graders can be simplified by drawing a picture or using a method that makes them easier to solve.

Table of contents

• Word problems

Numbers & place value

• Multiplication

If this math page has 5 sections of math problems for 5th graders with an average of 7 questions in each section, can you guess how many problems there will be in all? That’s right, there will be a total of 35 math problems for 5th graders for us to practice. Without realizing it, you just solved one of our first 5th-grade math word problems . Excellent work! Together we will review fifth-grade math problems with decimals, fractions, order of operations, and rounding. We will even consider hard math problems for 5th graders, like multiplying using square models and number lines. Don’t worry about getting the answers right the first time, each section includes math problems for 5th graders with answers if you need a sneak peek. So grab a pad and pencil and let’s begin.

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Select a year group

• Kindergarten

Measurement and data

Sample questions, word problems for 5th graders.

Let’s begin by covering math word problems for 5th graders.

Mia’s water bottle can hold 24 ounces of water. She drinks two full water bottles each day. How many total cups of water does Mia drink each day? [Conversions]

The playground is made up of four rectangular lots that are each 10 ft by 7 ft. What is the total area of the playground? [Finding area]

 Josh lives 2.5 miles away from the park. Josh rides his bike to the park and back home four days a week. How many miles does Josh ride his bike each week? [Calculations]

Place value

In this section, we will cover math problems for 5th graders that use place values, word form to standard form, standard form to word form, and expanded form.

Which digit in the number 245 is in the hundreds place?

Which digit in the number 4,602 is in the tens place?

Which digit in the number 752 is in the ones place?

Word form to standard form

Standard form to expanded form.

4,000 + 300 + 2 = 4,302

600 + 50 + 4 = 654

20,000 + 2,000 + 300 + 60 + 5 = 22,365

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In this section, we will cover fifth-grade math problems that include comparing decimals and rounding decimals to the nearest tenth, hundredth, and thousandths place. Let’s get started.

8.9 and 8.900 are the same.

Remember if the number to the right is 5 or larger, you can borrow and become one digit larger. If the number to the right is between 0 and 4, you can’t borrow and the number remains the same.

In this section, we will review math problems for fifth graders that cover the topics of adding and subtracting two and three-digit numbers using transformation, division using area models, and the order of operations .

Adding and subtracting whole numbers by transformation

A large portion of fifth-grade math problems can be made easier to solve by transformation or changing numbers to make the problem simpler. Let’s practice adding and subtracting two and three-digit numbers by transformation.

How to add numbers using transformation?

When adding or subtracting numbers, look for ways to round to make the problem simpler. Don’t forget what you do to one number, you have to do the opposite to the other. This makes sure the problem stays balanced. Let’s see how this is done. What is 48 + 52? 48 + 2 = 50

52 – 2 = 50 

50 + 50 = 100.

It may be difficult to add 48 + 52 in your head, so we round 48 to 50 by adding 2. Since we added 2 to the first number, we have to make sure to subtract 2 from the second number. So now the problem is 50 plus 50, which is much easier to calculate! 

32 – 2 = 30 68 + 2 = 70 30 + 70 = 100 The answer is 100.

208 – 8 = 200 432 + 8 = 440 200 + 440 = 640 The answer is 640.

321- 1 = 320 199 + 1 = 200 320 – 200 = 120 120 + 2 = 122 The answer is 122

Division using area models

Don’t know what an area model is? See our area model guide to help with these problems.

Using an area model find the quotient of 365 ፥ 5 =

Using an area model find the quotient of 504 ፥ 6 =

Using the area model below, find the quotient of 872 ፥ 2 =

Order of operations

Many people remember the Order of Operations with the acronym PEMDAS- “Please Excuse My Dear Aunt Sally”, with each letter representing an operation: Parentheses, Exponents, Multiply or Divide, Add or Subtract. Solve the following equations using the order of operations.

Hard multiplication math problems

Some of the hardest math problems for fifth graders involve multiplying: multiplying using square models, multiplying fractions and whole numbers using expanded form, and multiplying fractions using number lines. Let’s practice a few of each!

Multiplying using square models

Multiplying using square models is a method to help students “see” multiplication problems in a simpler way.

Multiply 42 x 35 using the square model below.

Multiply 55 x 76 using the square model below.

Multiply 98 x 42 using the square model below.

Multiplying fractions and whole numbers using expanded form

Multiply ½ x 5 using expanded form.

Multiply ⅔ x 6 using expanded form.

Multiply ⅙ x 7 using expanded form.

Multiplying fractions using a number line

Multiply ½ x 4/6 by using a number line.

For more math practice for 5th graders , our app for math help provides 5th-grade math help in a way that makes math fun, rewards effort over being correct, and scaffolds learning. Plus, you’ll get access to a dashboard that displays your child’s participation and progression on math topics they struggle with. Check it out today!

Parents, sign up for a DoodleMath subscription and see your child become a math wizard!

Word problem answer sheet

Mia drinks 6 cups of water each day. Explanation: There are 8 ounces in each cup. So 24 divided by 8 is equal to 3 cups each day.

280 square feet. Explanation: The area of one lot is 10 x 7 = 70 square feet. Take that area and times it by four, so 70 x 4 = 280 square feet.

Josh rides 20 miles on his bike each week. Explanation: Each day Josh rides 5 total miles: 2.5 miles to the park and 2.5 miles back home. If we multiply that number by 4 days a week, it equals 20 miles in all.

Writing numbers answer sheet

2 is in the hundreds place.

0 is in the tens place.

2 is in the ones place.

Division using area models answer sheet

Multiplying using square models answer sheet

Multiplying fractions and whole numbers using expanded form answer sheet

Multiplying fractions using a number line answer sheet

Explanation – First divide the number line into 6 equal parts and draw up a line up to 4/6. Then find the ½ way mark of that line you drew up to 4/6. You will now see the line is divided into three parts. So the answer would be ⅓. 

Lesson credits

Amber Watkins

Amber is an education specialist with a degree in Early Childhood Education. She has over 12 years of experience teaching and tutoring elementary through college level math. "Knowing that my work in math education makes such an impact leaves me with an indescribable feeling of pride and joy!"

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CHALLENGE ZONE 5th Grade Math Problems

Welcome to our 5th Grade Math Problems. Here you will find our range of challenging math problem worksheets which are designed to give children the opportunity to apply their skills and knowledge to solve a range of longer problems.

These problems are also a great way of developing perseverance and getting children to try different approaches in their math.

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5th Grade Math Problems

Here you will find a range of problem solving worksheets.

The 5th grade math problems on the sheets are longer math problems designed to encourage children to use a range of math skills to solve them.

The skills the problems will help to develop include:

• systematic working
• logical thinking
• number fact knowledge
• fraction problems
• trial and improvement strategies
• working backwards
• working systematically
• searching for all possible answers.

At fifth grade, the problems are more advanced with children needing to become more systematic in their approach and experimenting using trial and improvement strategies.

Many of the problems have addition 'What if ...' questions with them to extend learning and get children looking for alternative solutions.

These sheets are great for extending learning for more able mathematicians, or using in a whole class problem solving lesson.

• 5th Grade Math Word Problems
• Bertie's Big Win

Bertie's Big Win is a problem involving both money and fractions which can be worked backwards. The aim of the problem is to work out how much money Bertie started with from the clue that are given.

• PDF version
• Fox vs Rabbit #2

Fox vs Rabbit is an activity involving mathematical modelling of a fox chasing a rabbit. The rabbit has a head-start, but the fox is faster. The aim is to find out when the fox will catch the rabbit, and whether or not the rabbit has time to reach his burrow.

• 1..2..3..4.. Challenge

The 1..2..3..4.. Challengs is a number problem involving using the numbers 1, 2, 3 and 4 along with arithmetic operators to make the numbers from 1 to 20. It is great for practicing PEMDAS and getting children to persevere and develop their mental arithmetic skills.

There are 2 versions of the problem sheet, one with a pre-prepared template for filling in, and a second blank version for children to show their own recording system.

• Blank version
• Frazer's Wall #2

Frazer's Wall #2 is a fraction problem solving activity which involves trying to work out the number of bricks that were laid in each day to find out how long it would take to make a wall. This problem is best solved by using a table or working it out one day at a time.

• Millenary Math

Millenary Math is a time problem involving what the time will be in a thousand years/weeks/hours/minutes, etc. It is a good activity for converting units of time and knowing facts like how many days are in each month. There is no answer sheet, as the activity involves using the current time.

• Sally's Fruit Punch #3

Sally's Fruit Punch is a money and scaling activity. The aim is to use the information to work out how much ingredients are needed. The ingredients then need to be priced to work out a total cost.

• Sally's Fruit Punch #3 UK Version
• Share the Treasure #5

Share the Treasure is a fraction sharing activity where the aim is to work backwards to find out how many bars of treasure the pirates had before they shared them all out. It is a good activity for developing fraction problem solving and working backwards.

• Something Fishy #2

Something Fishy is a money problem which involves working out exactly how many of each fish were bought in order to have spent a fixed amount of money on the fish. It is a good activity for using lists and tables to find all possibilities. It is also great for perseverance!

• Something Fishy #2 UK Version
• The Five Primes

The Five Primes is a number activity involving finding five primes with different totals. It is a good activity for learning prime numbers up to 30, and also for working systematically.

• The Rock Race #3

The Rock Race is a 5th grade math problem which needs some perseverance to complete. The aim of the activity is to try different routes around the 6 rocks to determine which route is the shortest.

• Who Chose Which?

Who Chose Which is a logical number activity where you need to use the clues to work out which numbers each of the salamanders chose.

• Birthday Bonanza

Birthday Bonanza is a logic problem which requires logical thinking to work out who got which present and how old each of them was.

• Number Totals Investigation

Number Totals Investigation is a PEMDAS number task which involves using 3 digits and operations to make the largest or smallest possible total.

Looking for some easier math problems?

We have a range of easier word problems on our 4th grade math problems page.

The problems on this page are at a simpler level than those here.

Many of the problems, e.g. Share the Treasure, The Rock Race, Something Fishy have easier versions on this page.

• 4th Grade Math Problems

Looking for some more fifth grade math word problems?

Here you will find our selection of free 5th grade math word problems.

Each sheet is availabel in both standard and metric units (where applicable).

Each sheet comes complete with a separate answer sheet.

All the problems are based around 'real life' such as the planets, heights of mountains, or length of rivers.

Using these sheet will help your child to:

• apply their addition, subtraction, multiplication and division skills;
• apply their knowledge of rounding and place value;
• solve a range of problems including "real life" problems and ratio problems.

All the worksheets help to support Elementary math benchmarks.

• 5th Grade Math Puzzles

Here you will find a range of printable 5th grade math puzzles for your child to enjoy.

The puzzles will help your child practice and apply their addition, subtraction, multiplication and division facts as well as developing their thinking and reasoning skills in a fun and engaging way.

Using these puzzles will help your child to:

• learn and practice their addition facts, including decimals;
• practice their subtraction facts, including decimals;
• practice and apply multiplication and division facts;
• develop problem solving skills and reasoning.

All the puzzles support elementary math benchmarks for 5th grade.

Fifth Grade Math Games

Here you will find a range of free printable 5th Grade Math games.

All children like to play Math games, and you will find a good range of Grade 5 Math Games here for your child to play and enjoy.

The following games involve different 5th Grade Math activities which you and your child can enjoy together.

All the free 5th Grade Math Worksheets in this section follow the Elementary Math Benchmarks for Grade 5.

• Math Games 5th Grade

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Unit 1: Decimal place value

Unit 2: add decimals, unit 3: subtract decimals, unit 4: add and subtract fractions, unit 5: multi-digit multiplication and division, unit 6: multiply fractions, unit 7: divide fractions, unit 8: multiply decimals, unit 9: divide decimals, unit 10: powers of ten, unit 11: volume, unit 12: coordinate plane, unit 13: algebraic thinking, unit 14: converting units of measure, unit 15: line plots, unit 16: properties of shapes.

Grade 5 Math Worksheets

Related Pages Math Worksheets according to Topics Math Worksheets according to Grades Interactive Zone Grade 5 Math Lessons

These free interactive math worksheets are suitable for Fifth Grade or Grade 5. Use them to practice and improve your mathematical skills.

Prime Numbers

Prime Numbers (Up to 10) Prime Numbers (Up to 20) Prime Numbers (Up to 50) Prime Numbers (up to 100)

Prime Numbers (Sprint)

Multiples and Factors

Least Common Multiple Greatest Common Factor/Divisor

Addition Worksheets

Add two 4-digits Add two 5-digits

Chain Addition (2 digits, 3 addends) Chain Addition (3 digits, 3 addends) Chain Addition (4 digits, 3 addends) Chain Addition (2 digits, 4 addends) Chain Addition (3 digits, 4 addends) Chain Addition (4 digits, 4 addends)

Subtraction Worksheets

Subtract two 4-digits Subtract two 5-digits

Multiplication Worksheets

Printable Multiply Multi-digit by 1-digit (eg. 6,435 x 7) Multiplication Word Problems

2-step Word Problems (using +, -, ×) Multi-step Word Problems (using +, -, ×)

Multiply 2-digit by 2-digit (eg. 35 × 24) Multiply 3-digit by 2-digit (eg. 215 × 32)

Generated Multiply 2-digits by 1-digit Multiply 3-digits by 1-digit Multiply 2-digits by 2-digits Multiply 3-digits by 2-digits

Division Worksheets

Printable Division Facts (Random Order) Divide by Multiples of 10 (eg. 6,300 ÷ 300)

Long Division with or without Remainders Divide 2-digit by 1-digit (eg. 74 ÷ 3) Divide 3-digit by 1-digit (eg. 576 ÷ 5) Divide 4-digit by 1-digit (eg. 3,870 ÷ 4)

Divide by 2-digit Divisors

Division Word Problems Division Word Problems (2-digit ÷ 1-digit) Division Word Problems (3-digit ÷ 1-digit) Division Word Problems (4-digit ÷ 1-digit)

Generated Divide 2-digits by 1-digit Divide 3-digits by 1-digit Divide 2-digits by 2-digit Divide 3-digits by 2-digit Divide 2-digits by 1-digit (with remainder) Divide 3-digits by 1-digit (with remainder) Divide 2-digits by 2-digits (with remainder) Divide 3-digits by 2-digits (with remainder)

Order of Operations Worksheets (PEMDAS, BEDMAS)

Order of Operations (+, -, ×, parenthesis) Order of Operations (+, -, ×, ÷, parenthesis) Order of Operations (+, -, ×, ÷, parenthesis, exponents)

Order of Operations (+, –) Order of Operations (parenthesis, +, –) Order of Operations (×, ÷ ) Order of Operations (parenthesis, ×, ÷) Order of Operations (×, ÷, +, –) Order of Operations (parenthesis, ×, ÷, +, –) Order of Operations (parenthesis, ×, ÷, +, –) Order of Operations (parenthesis, exponent, ×, ÷ +, –) Order of Operations (mixed) Order of Operations (mixed) Order of Operations (mixed)

Decimal Worksheets

Write Decimals in Words Write Decimals in Numerals

Compare Decimals Order Decimals

Round Decimals (nearest whole number) Round Decimals (nearest tenths) Round Decimals (nearest hundredths) Round Decimals (different place values)

Adding Decimals Subtracting Decimals

Multiply Decimals by 10, 100, 1000 Divide Decimals by 10, 100, 1000

Multiply Decimals by Powers of 10 (eg. 3.2 × 10 3 ) Divide Decimals by Powers of 10 (eg. 74.2 ÷ 10 3 )

Multiply Decimals by Whole Numbers (eg. 3.12 × 8) Divide Decimals by Whole Numbers (eg. 7.28 ÷ 4)

Rounding Decimals (nearest whole number) Rounding Decimals (nearest tenths) Rounding Decimals (nearest hundredths) Rounding Decimals (mixed)

Adding Decimals (Tenths) Adding Decimals (Hundredths) Adding Decimals (Thousandths) Adding Decimals (Thousandths) Subtract Decimals (Tenths) Subtract Decimals (Hundredths) Subtract Decimals (Thousandths) Subtract Decimals (Thousandths)

Multiply Decimals by Tens (10s, 100s, 1000s) Multiply Decimals by Whole Number (1-digit) Multiply Decimals by Whole Number (Multi-digit) Multiply two Decimals Divide Decimals by Ten (10s, 100s, 1000s) Division with Decimal Quotients (Tenths) Division with Decimal Quotients (Hundredths)

Decimal Word Problems (One-Step, Addition $ Subtraction) Decimal Word Problems (Two-Step, Addition $ Subtraction) Decimal Word Problems (Mixed Operations) Decimal Word Problems (Mixed Operations)

Changing Decimals to Fractions Changing Fractions to Decimals (with denominators 10, 100, 1,000)

Fraction Worksheets

Equivalent Fractions Reduce Fractions (proper fractions) Simplify Fractions (proper & improper fractions)

Improper Fractions to Mixed Numbers Mixed Numbers to Improper Fractions

Add Like Fractions Add Unlike Fractions

Subtract Like Fractions Subtract Unlike Fractions Subtract Fraction from Whole Number

Add Mixed Numbers (like denominators) Add Mixed Numbers (unlike denominators)

Subtract Mixed Numbers (like denominators, no regrouping) Subtract Mixed Numbers (like denominators, regrouping) Subtract Mixed Numbers (unlike denominators, no regrouping) Subtract Mixed Numbers (unlike denominators, regrouping)

Multiply Fractions with Canceling Multiply Fractions & Whole Numbers Multiply Mixed Numbers

Equivalent Fractions Compare Fractions Improper fractions to mixed numbers Mixed numbers to improper fractions Greatest Common Factor Simplify Fractions

Add Fractions (with common denominator & no simplifying) Subtract Fractions (with common denominator & no simplifying) Add & Subtract Fractions (with common denominator & simplifying answers) Least Common Multiple or Least Common Denominator Add & Subtract Fractions (with unlike denominators & step-by-step guide) Add & Subtract Fractions (with unlike denominators) Add Fractions (mixed) Subtract Fractions (mixed)

Multiply Fractions by Whole Numbers Multiply Two Fractions Divide Whole Numbers by Fractions Divide Fractions by Whole Numbers Divide Fractions by Fractions Divide Two Fractions

Adding Mixed Numbers Subtracting Mixed Numbers Add Mixed Numbers Subtract Mixed Numbers

Fraction Word Problems Adding & Subtracting Fractions Fraction Word Problems Adding & Subtracting Mixed Numbers (One-Step) Fraction Word Problems Adding & Subtracting Mixed Numbers (Two-Step) Fraction Word Problems Adding & Subtracting Mixed Numbers (Two-Step)

Measurement Worksheets

Temperature Conversion Celsius to Fahrenheit Temperature Conversion Fahrenheit to Celsius Temperature Conversion Mixed

Standard Measurement Conversion Metric Measurement Conversion

Metric Length Conversion (mm, cm, m, km) Adding lengths (km, m, cm, mm) Subtracting Lengths (km, m, cm, mm) Multiplying Lengths (km, m, cm, mm) Dividing Lengths (km, m, cm, mm)

Metric Weight Conversion (kg, g, mg) Adding and Subtracting Weights (kg, g, mg) Multiplying Weights (kg, g, mg) Dividing Weights (kg, g, mg)

Time Worksheets

Time Conversion (weeks, days, hours, minutes, seconds) Adding and Subtracting Time Multiplying and Dividing Time Time Word Problems (Elapsed Time) Convert from 12-hr System to 24-hr System Convert from 24-hr System to 12-hr System Calculate Time Intervals in 12-hr System and 24-hr System

Algebra Worksheets

Evaluate Expressions by Substitution Simplify Expressions by Combining Like Terms Simplify Expressions using Distributive Property Simplify Expressions using Distributive Property & Combine Like Terms

Solving One-Step Equations Solving Two-Step Equations Solving Equations by Combining Like Terms Solving Equations with the Variable on Both Sides Solving Equations by Distributive Property Solving Multi-Step Equations Solving Multi-Step Equations Solving Word Problems using Algebra

Ratio Worksheets

Ratio of Quantities Ratio Word Problems I Ratio Word Problems II Ratio Word Problems III Ratio Word Problems IV Ratio with Algebra

Percent Worksheets

Changing Percents to Decimals and Fractions Changing Percents to Fractions in Lowest Terms Changing Percents to Fractions Changing Fractions to Percents Changing Fractions to Percents Changing Decimals to Percents

Percentages (What is X% of Y) Percentages (X is what % of Y) Percentages (X is Y% of what) Percent of a Number Finding Percent Finding the Base

Geometry Worksheets

Names of Polygons Give the number of sides Names of Polygons Give the names of polygons Types of Angles (Acute, Obtuse, Reflex) Angles in a Straight Line Angles at a Point Complementary Angles Supplementary Angles

Area & Perimeter of Rectangles Area & Perimeter of Rectangles Area & Perimeter of Rectangles Area & Perimeter of Parallelogram Area of Triangle Area of Parallelograms Area of Triangle & Parallelogram Area of Trapezoid Area of Shapes Area of Shaded Region (rectangles & triangles)

Printable Volume of Rectangular Prisms Volume of Composite Rectangular Prisms

Generated Surface Area & Volume of Cubes Surface Area & Volume of Rectangular Prisms or Cuboids

Statistics Worksheets

Mode Median Mean Range Mean, Median & Mode Mean, Median & Mode Find the possible values for the Median Given the Mean, find the missing number(s) in a set Word problems that involve the Mean Word problems that involve the Mean

Prime Numbers (up to 10, 20), Prime Numbers (up to 50, 100), Least Common Multiple, Greatest Common Factor,

Addition, Subtraction, Multiplication, Division, Division with Remainder, Order of Operations (PEMDAS),

Rounding Decimals, Adding Decimals, Subtract Decimals, Multiply Decimals by Tens, Multiply Decimals by Whole Number, Multiply two Decimals, Divide Decimals by Ten, Division with Decimal Quotients, Decimals and Fractions, Decimal Word Problems,

Equivalent Fractions, Simplify Fractions, Compare Fractions, Convert between Improper Fractions and Mixed Numbers, Add Fractions with Like Denominators, Add Fractions with Unlike Denominators, Subtract Fractions with Like Denominators, Subtract Fractions with Unlike Denominators, Multiply Fractions by Whole Numbers, Multiply Two Fractions, Divide Fractions by Whole Numbers, Divide Two Fractions, Add Mixed Numbers, Subtract Mixed Numbers, Fraction Word Problems,

Add and Subtract Lengths, Add and Subtract Weights, Convert between Celsius and Fahrenheit,

Convert Time, Add and Subtract Time, Multiply and Divide Time, 12-hr and 24-hr System,

Types of Angles, Number of sides of Polygons, Names of Polygons, Perimeter and Area (Rectangles), Perimeter and Area (Triangles), Perimeter and Area (Parallelogram), Perimeter and Area (Trapezoids), Volume of Cubes, Volume of Rectangular Prisms, Surface Area of Cubes, Surface Area of Rectangular Prisms,

Add and Subtract Like Terms, Distributive Property, Solve One-Step Algebra Equations, Solve Two-Step Algebra Equations, Solve Equations involving Like Terms,

Ratio, Proportion, Percent,

Mean, Median, Mode, Range, Statistics Word Problems.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.

Build Confidence with Math Problem Solving

Daily Problem Solving will help your 5th grade students master the skills they need to be successful with challenging word problems...and have fun doing it .

What you'll get with this download:

Your download includes a full week of Daily Problem Solving for Grade 5 to try out in your own classroom. Developed with the brain in mind, these multi-step word problems will challenge your learners without overwhelming them. Best of all, you'll be able to watch their skills and confidence grow as they begin to internalize strategies for conquering this difficult math skill.

FUN & ENGAGING

Themed-problems and a weekly fun fact make it easy to keep learners engaged

MINIMAL PREP

Formatted for quick & easy implementation that won't add stress to your planning

PRINT & DIGITAL

Includes both print and digital student options for added flexibility

Help Students Master Math Word Problems

I've been using this with my extremely anxious learner and it works wonders to build confidence because we see the improvement.

These have given me such an insight into my students' abilities, and I've watched them improve their skills and successfully solve multi-step word problems.

Jilliana D.

STUDENT PRINTABLES

You'll receive a full week of printable Daily Problem Solving practice for your students. This format includes:

• Paper-saving format that fits a full week on one page
• Space for student work, feedback, and self-reflection
• Themed problems & weekly fun fact to engage

DIGITAL SLIDES

Daily digital slides offer your remote or online learners the opportunity to build problem-solving skills in a structured format designed for success.

• Single slide per day prevents overwhelm or distraction
• Organized with clear space to solve & answer
• Engaging graphics, themed problems, & fun facts

Don’t wait, get started helping your learners master word problems today!

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Second Step® Sample Lessons

Complete sets of materials from select Second Step curricula, the Second Step® Bullying Prevention Unit, and the Second Step® Child Protection Unit are available for Early Learning through Grade 8.

Digital Programs

Classroom kits.

Bullying Prevention Unit (Available for Kindergarten–Grade 5)

Child Protection Unit (Available for Early Learning–Grade 5)

Out-of-School Time (Available for Kindergarten–Grade 5)

Available for Kindergarten through Grade 12 Explore samples from all grades below

Kindergarten

Lesson 18: Apologizing Can Help

In this lesson, students will learn about apologizing as a way of showing kindness and as a tool for problem-solving in a variety of scenarios. Lesson Plan (PDF) Lesson Presentation

Lesson 9: Feeling Frustrated

In this lesson, students will learn which clues tell them when others might be frustrated, and a new way to feel calm when they’re feeling frustrated themselves. Lesson Plan (PDF) Lesson Presentation

Lesson 16: The Way to Say a Problem

In this lesson, students will start learning to be better problem-solvers by managing strong feelings and stating problems without blame. Lesson Plan (PDF) Lesson Presentation Lesson Handout (PDF)

Lesson 14: Asking Questions

In this lesson, students will learn about asking questions to find out how someone else is feeling and to understand what their friends might want or need. Lesson Plan (PDF) Lesson Presentation Lesson Handout (PDF)

Lesson 17: Saying It Respectfully

In this lesson, students will learn how to consider another person’s point of view and to say what they want or need in a respectful way. Lesson Plan (PDF) Lesson Presentation Lesson Handout A (PDF) Lesson Handout B (PDF)

Lesson 17: When? Where? Who?

In this lesson, students will learn how to identify when and where to work on solving a problem, and who should be included. Lesson Plan (PDF) Lesson Presentation

Unit 4, Lesson 23: Respectful Communication

In this lesson, students will learn ways to communicate during a conflict to keep it from escalating through reflecting on their own experiences, defining respectful communication, and practicing using language that will help resolve conflicts. Sample This Lesson Lesson Plan (PDF) Student Handout (PDF)

Unit 3, Lesson 18: Practicing Positive Self-Talk

In this lesson, students will learn how to use positive self-talk to reframe challenging situations, including discussing why it isn’t always easy to see the positives and practicing noticing the positive things in their everyday lives. Sample This Lesson Lesson Plan (PDF) Student Handout (PDF)

Unit 2, Lesson 10: Environmental Factors that Contribute to Bullying

In this lesson, students will learn how the physical layout of and rules within a space can make bullying and harassment more likely to happen, from identifying environmental factors to discussing rules and regulations within their own school community. Sample This Lesson Lesson Plan (PDF) Student Handout (PDF)

High School

Schoolwide Practice

Recognizing Contributions

In this practice, leaders publicly recognize students and staff for their remarkable contributions to the school community.

Pathway 3: Agency & Opportunity

Educator Practice

Choice Boards

In this practice, educators create materials to boost student engagement in an upcoming lesson by giving students choices in their approach to learning.  

Student Activity

Guess Who?  

In this activity, students guess each other’s strengths, then discuss and reflect on their own positive qualities.   

Available for Early Learning through Grade 5 Explore samples from all grades below

Early Learning

Weekly Theme 6: Asking for What You Need or Want

Weekly Theme Card

Take-Home Activity

Brain Builder: Stop and Start

”How to Learn Song”

Listening Rules

Feelings Cards

Lesson 2: Focusing Attention

Weekly Lesson Card

Following Through Card

“The Learner Song”

Brain Builder: Follow, Follow

Skills for Learning Poster

Lesson 11: Showing Care and Concern

Brain Builder: Clap and Wait

Empathy Poster

Lesson 17: Solving Problems, Part 1

Skills for Learning

Brain Builder: Sentence Switcheroo

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• The inequalities section lets you solve an inequality or a system of inequalities for a single variable. You can also plot inequalities in two variables.
• The calculus section will carry out differentiation as well as definite and indefinite integration.
• The matrices section contains commands for the arithmetic manipulation of matrices.
• The graphs section contains commands for plotting equations and inequalities.
• The numbers section has a percentages command for explaining the most common types of percentage problems and a section for dealing with scientific notation.

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5 Steps to Teaching Students a Problem-Solving Routine

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By Jeff Heyck-Williams, the director of curriculum and instruction for Two Rivers Public Charter School

When I visited a 5th grade class recently, the students were tackling the following problem:

If there are nine people in a room and every person shakes hands exactly once with each of the other people, how many handshakes will there be? How can you prove your answer is correct using a model or numerical explanation?

There were students on the rug modeling people with Unifix cubes. There were kids at one table vigorously shaking each other’s hand. There were kids at another table writing out a diagram with numbers. At yet another table, students were working on creating a numeric expression. What was common across this class was that all of the students were productively grappling around the problem.

On a different day, I was out at recess with a group of kindergartners who got into an argument over a vigorous game of tag. Several kids were arguing about who should be “it.” Many of them insisted that they hadn’t been tagged. They all agreed that they had a problem. With the assistance of the teacher, they walked through a process of identifying what they knew about the problem and how best to solve it. They grappled with this very real problem to come to a solution that all could agree upon.

Then just last week, I had the pleasure of watching a culminating showcase of learning for our 8th graders. They presented to their families about their project exploring the role that genetics plays in our society. Tackling the problem of how we should or should not regulate gene research and editing in the human population, students explored both the history and scientific concerns about genetics and the ethics of gene editing. Each student developed arguments about how we as a country should proceed in the burgeoning field of human genetics, which they took to Capitol Hill to share with legislators. Through the process, students read complex text to build their knowledge, identified the underlying issues and questions, and developed unique solutions to this very real problem.

Problem-solving is at the heart of each of these scenarios and is an essential set of skills our students need to develop. They need the abilities to think critically and solve challenging problems without a roadmap to solutions. At Two Rivers Public Charter School in the District of Columbia, we have found that one of the most powerful ways to build these skills in students is through the use of a common set of steps for problem-solving. These steps, when used regularly, become a flexible cognitive routine for students to apply to problems across the curriculum and their lives.

The Problem-Solving Routine

At Two Rivers, we use a fairly simple routine for problem-solving that has five basic steps. The power of this structure is that it becomes a routine that students are able to use regularly across multiple contexts. The first three steps are implemented before problem-solving. Students use one step during problem-solving. Finally, they finish with a reflective step after problem-solving.

Problem Solving from Two Rivers Public Charter School on Vimeo .

Before Problem-Solving: The KWI

The three steps before problem-solving: We call them the K-W-I.

The “K” stands for “know” and requires students to identify what they already know about a problem. The goal in this step of the routine is two-fold. First, the student needs to analyze the problem and identify what is happening within the context of the problem. For example, in the math problem above, students identify that they know there are nine people and each person must shake hands with each other person. Second, the student needs to activate their background knowledge about that context or other similar problems. In the case of the handshake problem, students may recognize that this seems like a situation in which they will need to add or multiply.

The “W” stands for “what” a student needs to find out to solve the problem. At this point in the routine, the student always must identify the core question that is being asked in a problem or task. However, it may also include other questions that help a student access and understand a problem more deeply. For example, in addition to identifying that they need to determine how many handshakes in the math problem, students may also identify that they need to determine how many handshakes each individual person has or how to organize their work to make sure that they count the handshakes correctly.

The “I” stands for “ideas” and refers to ideas that a student brings to the table to solve a problem effectively. In this portion of the routine, students list the strategies that they will use to solve a problem. In the example from the math class, this step involved all of the different ways that students tackled the problem from Unifix cubes to creating mathematical expressions.

This KWI routine before problem-solving sets students up to actively engage in solving problems by ensuring they understand the problem and have some ideas about where to start in solving the problem. Two remaining steps are equally important during and after problem-solving.

During Problem-Solving: The Metacognitive Moment

The step that occurs during problem-solving is a metacognitive moment. We ask students to deliberately pause in their problem-solving and answer the following questions: “Is the path I’m on to solve the problem working?” and “What might I do to either stay on a productive path or readjust my approach to get on a productive path?” At this point in the process, students may hear from other students that have had a breakthrough or they may go back to their KWI to determine if they need to reconsider what they know about the problem. By naming explicitly to students that part of problem-solving is monitoring our thinking and process, we help them become more thoughtful problem-solvers.

After Problem-Solving: Evaluating Solutions

As a final step, after students solve the problem, they evaluate both their solutions and the process that they used to arrive at those solutions. They look back to determine if their solution accurately solved the problem, and when time permits, they also consider if their path to a solution was efficient and how it compares with other students’ solutions.

The power of teaching students to use this routine is that they develop a habit of mind to analyze and tackle problems wherever they find them. This empowers students to be the problem-solvers that we know they can become.

The opinions expressed in Next Gen Learning in Action are strictly those of the author(s) and do not reflect the opinions or endorsement of Editorial Projects in Education, or any of its publications.

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Grade 5 Mathematics Module: Solving Problems Involving Time

This Self-Learning Module (SLM) is prepared so that you, our dear learners, can continue your studies and learn while at home. Activities, questions, directions, exercises, and discussions are carefully stated for you to understand each lesson.

Each SLM is composed of different parts. Each part shall guide you step-by-step as you discover and understand the lesson prepared for you.

Pre-tests are provided to measure your prior knowledge on lessons in each SLM. This will tell you if you need to proceed on completing this module or if you need to ask your facilitator or your teacher’s assistance for better understanding of the lesson. At the end of each module, you need to answer the post-test to self-check your learning. Answer keys are provided for each activity and test. We trust that you will be honest in using these.

Please use this module with care. Do not put unnecessary marks on any part of this SLM. Use a separate sheet of paper in answering the exercises and tests. And read the instructions carefully before performing each task.

Good day, Mathletes! We face problems involving time every day. We have to decide what time to wake up to be ready for our 8 AM class. To make the right decision, we need to consider how much time is needed for us to shower, dress up, have breakfast, and be ready for the class. This module was especially written to help you solve such problems.

To get the most from this module, be sure to do all the activities and exercises, and keep a positive outlook. Before you know it, you have already solved these problems in a systematic and logical way.

When you are done with this module, you are expected to:

• figure out what time it was, what time it will be, or how much time went by in the different events or occasions described;
• state the steps in solving word problems on measurement of time; and
• solve problems involving time.

Grade 5 Mathematics Quarter 3 Self-Learning Module: Solving Problems Involving Time

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5 Steps to Solving All of Your Garage Storage Problems

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Is it starting to seem like there’s no storage space left in your house? Is every closet , cabinet , and drawer totally crammed? Well, the solution to your storage woes may be as close as your garage. Sure, it’s already housing your tools and gardening gear, and maybe even your car, but the average garage can fit more boxes and bins than just about any other space in the home. It may be a messy catchall right now, but with planning, you can turn the garage into an efficient, well-organized household storage annex.

If you get anxious even considering the prospect of dealing with the chockablock situation in your garage, take heart. This isn’t going to be a piece of cake, but with help from professional organizer Donna Smallin, author of The One-Minute Organizer: A to Z Storage Solutions,  we’ve broken the task into a series of discrete, manageable steps. The process begins with clearing out the clutter and ends with implementing smart garage storage ideas suited to your needs. Corralling the chaos starts right now!

STEP 1: Visualize the Possibilities

Avoid the common mistake of hastily throwing organizational products at the mess and, instead, start with some strategy. “Imagine what the space will look like when it’s cleaned out and how nice it will feel to drive into it each time you come home,” Smallin suggests. “Hold this image in your head to inspire you.”

Then list out zones you’d like to see in the space to organize items by task or interest. “Your pots, fertilizer, and garden hose should be grouped together for a gardening zone,” says Tim Keaton, Head of Brand and Product Marketing for Gladiator/GarageWorks. “And your golf clubs, soccer balls, and baseball bats should be kept together for a sporting zone.” Other logical zone groupings include holiday decorations, kids stuff, and a workshop area with space for a sturdy bench, plus pegboard or cabinets.

RELATED: 11 “Neat” Garage Storage Solutions

Once you’ve determined what zones you’ll need, work logically to map out where they’ll be easiest to access. For instance, are there certain household items in the garage that you’re likely to need on a regular basis? If so, locate these items near the door so that retrieving them only requires a quick and painless trip. Garden equipment and the lawn mower, on the other hand, make more sense placed by the door leading to the yard. Meanwhile, stash seasonal items like holiday lights in higher, harder-to-reach spots.

In fact, thinking vertical is key. “Look up and you’ll find a ton of wasted space,” says Keaton. “Using vertical space leads to creating more useable space. In addition to hanging rakes and tools, consider hanging up your bikes and wheelbarrow.” Hoists and overhead racks maximize space near the ceiling.

STEP 2: Take Everything Out

Start by emptying out of the garage. Carefully carry everything out of the garage and lay it down in a staging area, either in an unused part of the home or on the lawn or driveway if clear skies are in the forecast. “Group things in categories,” right from the getgo, Smallin says. “All the garden tools together, for instance, or all the sporting goods.” Organization in taking out items will make it easier to create those zones when you bring your possessions back in.

Broom clean the entire space, taking care to get all the leaves that may have blown in and any cobwebs that may have gathered in forgotten places. And, while you have a good view of it, consider whether the space could benefit from a fresh coat of paint (on the walls  or  the floor ).

RELATED: The 10 Best Things You Can Do for Your Garage

STEP 3: Decide What to Keep or Toss

Cleaning day is a great time to check the condition and usefulness of the items stored in your garage. As you lift out each piece of equipment, toy, or tool, put aside anything that’s broken beyond repair or simply not needed anymore—it won’t be coming back into the garage. One rule of thumb: “Get rid of anything you haven’t used in the past year,” advises Erin Gentry, Associate Public Relations and Consumer Engagement Manager at Rubbermaid.

Group those items you’re eliminating into four piles: toss, recycle, donate, or sell. If parting with perfectly good items proves to be paralyzing, find motivation in a moneymaking garage sale or gain satisfaction from helping a favorite charity. People in your community may be interested in the things you no longer need.

Here are additional sources to get you started:

• 1-800-GOT-JUNK : This national franchise will remove everything from appliances to tires to trash, donating and recycling whatever is possible. (Ask the hauler to obtain a tax receipt if you are donating to a charity.)
• earth911.com : Check here to find local recycling centers where you can safely dispose of paint and chemicals.
• donationtown.org : Use this site to match your items with a local charity and arrange pickup.

After you’ve winnowed down the contents of your garage, sort what’s left into groups. After all, items used together ought to be stored together—ideally in the zones planned during Step 1.

STEP 4: Assess Your Storage Needs

Refer now to the gameplan you made in Step 1, and make lists of the type of storage you’d need to make it happen: two bins to corral sports equipment and three more for seasonal decorations, pegboard and hooks to hang gardening tools, metal shelving the height of the wall, and so on.

RELATED:  12 Ideas to Steal from the Most Organized Garages

Then, look around. An empty garage makes it easy to inventory whether you have enough shelving, boxes, and cabinets to neatly store those items you’re keeping. Chances are that you already own enough supplies to fulfill most of the garage storage ideas you had in mind. These seven storage essentials will get you far:

Plastic bins.

Open shelving..

• Ceiling-mounted racks.
• Closed cabinetry.
• Panelized wall systems.
• Wall hooks and hook racks.

One of the simplest and smartest garage storage ideas is to place like items into stackable, clear plastic containers with lids (available on Amazon ) and labels. (Opaque bins work, too, as long as you detail specific contents on the label of each one—this saves time searching for items later.) These will keep your belongings clean, protect against insects and rodents, and increase the amount of usable floor space. Plus, clear bins create a uniformity among very diverse collections—toys, holiday decorations, home improvement supplies, and more—that in turn cuts down on visual clutter.

Stackable bins make great use of square footage. Even better than storing one on top of the other, though, is placing them one over the other on a set of sturdy shelves. The extra few inches of clearance above each bin provides easy access without having to first lift off three. Plus, depending on their construction and material (metal, plastic, wire, or wood), 12- or 16-inch-deep shelves are typically capable of holding the heavier items (unlike pegboard).

Ceiling-mounted racks.  

For infrequently used belongings, ceilings provide ideal, out-of-the-way storage space. Ladders and seasonal gear can be kept here, hung by clips or straps fastened to the joists. Or you can take advantage of hoist pulley systems, which cleverly operate like the cords on window blinds. Bear in mind, however, that ceiling storage must be oriented so that it doesn’t interfere with the operation of the garage door.

Closed cabinetry.  

Even when organized so that you can find everything, collections half-used paint cans, garbage bags, lawn equipment, and backyard toys still appear jarring in the close quarters of your garage. Cabinets with doors are highly desirable because they can hide this chaos from view when you pass through the garage on the way to or from home. If you already have these, great! If not, keep in mind that cabinets—be they freestanding or wall-hung, with countless material and style options—tend to cost more than other solutions. Consider mixing-and-matching with another system from this list to both lower costs and successfully store even the bulkiest items.

If you’ve got a lot of ceiling height in your garage, use those tall walls wisely. Inexpensive and easy to install, this perforated hardboard has been a garage storage favorite for generations. By hanging and outfitting pegboard with a custom combination of compatible pegs, hooks, clamps, bins, and shelves, you can use this utilitarian method to store and organize just about anything of modest weight. Store paintbrushes and rollers, lawn and garden equipment, and the contents of your overstuffed toolbox out in plain sight and easy reach.

RELATED: 9 Ways to Get on Board with Pegboard

Panelized systems.  

Cover entire walls with specially designed panels by companies including GarageTek, Rubbermaid, Schulte, and Gladiator/GarageWorks and coordinate with any number of companion add-ons (e.g., hooks, bins, ball holders, cabinets, and shelves). Though these ultra-flexible panelized systems can handle heavy and awkwardly sized items, that sort of strength and utility comes at a cost, if you need to add new ones.

Wall hooks and hook racks.  

Hooks are inexpensive, easy to use, and available in all sizes for a variety of tasks. Unlike pegboard and wall systems, though, these wall-mounted options offer slightly less flexibility for how you can use vertical space. Certainly, individual hooks can be placed anywhere you really only need to keep a couple of items accessible: keys, scissors, garden hoses, or (if heavy-duty) bikes. You can suspend even more items a hook rack, from tool belts to rakes and shovels with their business ends above the pegs. Still, configurations are limited.

Short on bins or shelves? See one or two garage storage ideas on the list that seems a perfect addition to what you already own? Subtract your inventory from your wish list of solutions, and take the pared-down version shopping in the next step.

STEP 5: Get and Implement What You Need

Whatever smart organizational products you don’t have on hand, you can purchase with a quick trip to a local home improvement store —and, thanks to the inventory you made, in the exact amount you need. This strategy will ensure that you do not buy so much stuff that you and your overcrowded garage are back at square one.

While there are lots of garage storage ideas—from hooks and chrome racks to customized, professionally installed systems priced in the thousands—organization hinges on consistency. As you pick out the last of your storage, choose cabinets and racks of the same color and type. Look for systems made of metal, plastic, or wood specifically treated for garage use. And remember that bigger is not always better. You need a garage storage system that will allow you to find your stuff and still leave room for the car.

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A few other shopping tips to keep in mind:

• Open shelving is a solid choice for bins and equipment alike. Invest in deep shelves for larger items like snow tires. Know that you’re picking a free-standing or wall-mounted model with the right weight limit for what you want to store.
• Ensure cabinet choices serve both form and function.  Tall cabinets with double doors are great, but be sure they come with enough adjustable shelves to optimize the space inside. Include at least one lockable cabinet to keep dangerous chemicals and power tools out of reach of children and pets. If you’re adding some low cabinets, consider putting them on casters for a flexible garage layout and even topping them with a durable work surface that you could use in projects.
• Decide whether you want a professionally-mounted wall panel systems or a DIY alternative.  This type of heavy-duty wall storage is a big spend, especially since some products require pro installation. To save money, consider models that use tracks or rails—these are easiest for do-it-yourselfers to install. Whatever your decision, you won’t regret your investment when you see your payoff: By capitalizing on the wall space, you can fit more into your garage without sacrificing access.

Puzzle-piece your garage storage solutions together according to the master plan and then reload. Remember: Group items by task and prioritize convenient access to those items used most often. With these principles in mind and your stash winnowed, you should be in great shape the next time you need to find…well, anything.

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