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## Unit 1: Place value

Because differences are our greatest strength

## Skills kids need going into fourth grade

## By Amanda Morin

## At a glance

In preparation for fourth grade, third graders focus on using language and writing in all subjects.

Most kids who are ready for fourth grade understand why and how multiplication works.

Fourth graders have to support their statements about a text with facts and details.

## Skills to get ready for grade 4: English language arts and literacy

Rising fourth graders are also expected to know how to:

- Read many types of stories and describe what happened, how the characters were affected, and what lessons they learned
- Answer questions about reading material that covers history, social studies, and science; also use information in illustrations, maps, and charts to help answer questions
- Give a class presentation on a topic using facts, details, and specific vocabulary
- Participate in discussions by speaking clearly, listening, sharing opinions, building on other people’s ideas, and asking questions
- Use dialogue and description to write about what a character is thinking and feeling
- Gather information from online sources in addition to books and articles; use that information to write research papers

## Skills to get ready for grade 4: Mathematics

- Explain what multiplication and division are
- Know the times tables up to 12 and multiply numbers by 10
- Use addition, subtraction, multiplication, and division to solve word problems involving more than one step
- Understand the concept of area and how it relates to multiplication
- Understand and identify fractions as numbers that can be placed on a number line; compare two fractions (like knowing that 2/3 is bigger than 3/5)
- Express whole numbers as fractions and recognize fractions that are whole numbers (like knowing that 8/2 is the same as 4)
- Measure weights and volumes
- Read charts and graphs and show data as a graph or chart

## How to help your rising fourth grader

- Practice word problems with more than one step or operation.
- Talk about the characters and ideas in books you read together.
- Expose your child to informational text like charts, brochures, and newspapers.
- Role-play social situations .
- Use multisensory techniques to build reading skills .
- Try multisensory techniques to build math skills , too.

## Key takeaways

In fourth grade, kids are expected to understand many types of stories and write research papers.

Consider talking to the teacher if your child is having trouble keeping up with schoolwork.

There are lots of ways to help your child prepare for fourth grade at home.

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## Arithmetic and Number Concepts

## Fourth Grade (Grade 4) Problem Solving Strategies Questions

- 2,175 + 8,259 = 10,434
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- 160 + 16 = 176
- 160 - 16 = 144
- Draw 4 tallies on one side. Draw 0 tallies on the other. Add.

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## CHALLENGE ZONE 4th Grade Math Problems

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## 4th Grade Math Problems

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## Looking for some more fourth grade math word problems?

Using these sheets will help your child to:

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Here you will find a range of printable 4th grade math puzzles for your child to enjoy.

Using these puzzles will help your child to:

- learn and practice their addition facts;
- practice adding both positive and negative numbers;
- practice their subtraction facts;
- practice multiplication and division facts;
- develop problem solving skills and reasoning.

All the puzzles support elementary math benchmarks for 4th grade.

The following games involve different 4th Grade Math activities which your child will enjoy playing.

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## 4th Grade Math Word Problems: Strategies, Ideas and Examples for Teachers

## Characteristics

- Understand: What are you being asked to find out? Students need to identify the outcome of the problem and keep this in mind as they are working towards a solution.
- Plan: What are you going to have to do to solve this problem? Will you need to guess and check? What operation(s) are involved? Will you draw a picture to help you? Can you make an estimate?
- Solve: If the plan is sound, then this is the stage where you put it into action
- Check: Look at your answer. Does it answer the question? Is it a reasonable answer? Is there a way to check and see if your answer is correct?

## Differentiation

## 4th Grade Problem Solving Strategies

Nys common core grade 4, module 7, lesson 5.

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## Teaching Problem Solving in Math

## The Problem Solving Strategies

I provided students with plenty of practice of the strategies, such as in this guess-and-check game.

There’s also this visuals strategy wheel practice.

## The Problem Solving Steps

- read the problem carefully
- restated the problem in our own words
- crossed out unimportant information
- circled any important information
- stated the goal or question to be solved

We did this over and over with example problems.

Step 3 – Solving the problem . We talked about how solving the problem involves the following:

- taking our time
- working the problem out
- showing all our work
- estimating the answer
- using thinking strategies

- switch strategies or try a different one
- rethink the problem
- think of related content
- decide if you need to make changes
- check your work
- but most important…don’t give up!

- compare your answer to your estimate
- check for reasonableness
- check your calculations
- add the units
- restate the question in the answer
- explain how you solved the problem

Stop – Don’t rush with any solution; just take your time and look everything over.

Think – Take your time to think about the problem and solution.

Act – Act on a strategy and try it out.

Review – Look it over and see if you got all the parts.

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## Strategies for Solving Word Problems

## It’s one thing to solve a math equation when all of the numbers are given to you but with word problems, when you start adding reading to the mix, that’s when it gets especially tricky.

## Here are the seven strategies I use to help students solve word problems.

1. read the entire word problem.

## 2. Think About the Word Problem

## Here are the questions:

A. what exactly is the question.

## B. What do I need in order to find the answer?

If you’d like to download this FREE Key Words handout, click here:

## C. What information do I already have?

This is where students will focus in on the numbers which will be used to solve the problem.

## 3. Write on the Word Problem

- Circle any numbers you’ll use.
- Lightly cross out any information you don’t need.
- Underline the phrase or sentence which tells exactly what you’ll need to find.

## 4. Draw a Simple Picture and Label It

## 5. Estimate the Answer Before Solving

## 6. Check Your Work When Done

## 7. Practice Word Problems Often

## If you’re looking for some word problem task cards, I have quite a few of them for 3rd – 5th graders.

CLICK HERE to take a look at 3rd grade:

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## Classroom Q&A

In this EdWeek blog, an experiment in knowledge-gathering, Ferlazzo will address readers’ questions on classroom management, ELL instruction, lesson planning, and other issues facing teachers. Send your questions to [email protected]. Read more from this blog.

## Four Teacher-Recommended Instructional Strategies for Math

- Share article

(This is the first post in a two-part series.)

The new question-of-the-week is:

What is the single most effective instructional strategy you have used to teach math?

This post is part of a longer series of questions and answers inviting educators from various disciplines to share their “single most effective instructional strategy.”

Two weeks ago, educators shared their recommendations when it came to teaching writing.

Last month , it was about teaching English-language learners.

There are many more to come!

Today, Cindy Garcia, Danielle Ngo, Patrick Brown, and Andrea Clark share their favorite math instructional strategies.

## ‘Concrete Representational Abstract’

Cindy Garcia has been a bilingual educator for 14 years and is currently a district instructional specialist for PK-6 bilingual/ESL mathematics. She is active on Twitter @CindyGarciaTX and on her blog:

The single most effective strategy that I have used to teach mathematics is the Concrete Representational Abstract (CRA) approach.

During the concrete step, students use physical materials (real-life objects or models) to explore a concept. Using physical materials allows the students to see and touch abstract concepts such as place value. Students are able to manipulate these materials and make sense of what works and what does not work. For example, students can represent 102, 120, and 201 with base 10 blocks and count each model to see the difference of the value of the digit 2 in each number.

During the representational step, students use pictures, images, or virtual manipulatives to represent concrete materials and complete math tasks. Students are making connections and gaining a deeper understanding of the concept by creating or drawing representations.

During the abstract step, students are now primarily using numbers and symbols. Students working at the abstract stage have a solid understanding of the concept.

The CRA approach is appropriate and applicable to all grade levels. It is not about the age of the student but rather the concept being taught. In 3rd grade, it is beneficial to students to have them use base 10 blocks to create an open-area model, then draw an open-area model, and finally use the multiplication algorithm. In algebra, it is STILL beneficial to practice using algebra tiles to multiply polynomials using an open-area model.

The CRA approach provides students P-12 to have multiple opportunities to explore concepts and make connections with prior concepts. Some teachers try to start teaching a concept at the abstract level, for example, the standard algorithm for multiplication. However, they soon find out that students have difficulty remembering the steps, don’t regroup, or don’t line up digits correctly. One of the main reasons is that students don’t understand this shortcut and they have not had the concrete & representational experiences to see how the shortcuts in the standard algorithm work.

## ‘Encouraging Discourse’

Danielle Ngo is a 3rd grade teacher and Lower School math coordinator at The Windward School . She has been a teacher for 10 years and works primarily with students who have language-based learning disabilities:

Growing up, so many of us were taught that there is one right answer to every math problem, and that there is one efficient way to arrive at that conclusion. The impetus to return to this framework when teaching math is a tempting one and one I’ve found myself having to fight actively against during my own classroom instruction. In my experience, the most effective way to counter this impulse is to mindfully increase the discourse present during my math lessons. Encouraging discourse benefits our students in several ways, all of which solidify crucial math concepts and sharpen higher-order thinking and reasoning skills:

Distributes math authority in the classroom: Allowing discourse between students—not just between the students and their teacher—establishes a classroom environment in which all contributions are respected and valued. Not only does this type of environment encourage students to advocate for themselves, to ask clarifying questions, and to assess their understanding of material, it also incentivizes students to actively engage in lessons by giving them agency and ownership over their knowledge. Learning becomes a collaborative effort, one in which each student can and should participate.

Promotes a deeper understanding of mathematical concepts: While the rote memorization of a process allows many students to pass their tests, this superficial grasp of math skills does not build a solid foundation for more complex concepts. Through the requisite explanation and justification of their thought processes, discourse pushes students to move beyond an understanding of math as a set of procedural tasks. Rather, rich classroom discussion gives students the freedom to explore the “why’s and how’s” of math—to engage with the concepts at hand, think critically about them, and connect new topics to previous knowledge. These connections allow students to develop a meaningful understanding of mathematical concepts and to use prior knowledge to solve unfamiliar problems.

Develops mathematical-language skills: Students internalize vocabulary words—both their definitions and correct usage—through repeated exposures to the words in meaningful contexts. Appropriately facilitated classroom discourse provides the perfect opportunity for students to practice using new vocabulary terms, as well as to restate definitions in their own words. Additionally, since many math concepts build on prior knowledge, classroom discussions allow students to revisit vocabulary words; use them in multiple, varied contexts; and thus keep the terms current.

## ‘Explore-Before-Explain’

Patrick Brown is the executive director of STEM and CTE for the Fort Zumwalt school district,in Missouri, an experienced educator, and a noted author :

The current COVID-19 pandemic is a sobering reminder that we are educating today’s students for a world that is increasingly complex and unpredictable. The sequence that we use in mathematics education can be pivotal in developing students’ understanding and ability to apply ideas to their lives.

An explore-before-explain mindset to mathematics teaching means situating learning in real-life situations and problems and using those circumstances as a context for learning. Explore-before-explain teaching is all about creating conceptual coherence for learners and students’ experiences must occur before explanations and practice-type activities.

Distance learning reaffirmed these ideas when I was faced with the challenge of teaching area and perimeter for the first-time to a 3 rd grade learner. I quickly realized that rather than viewing area and perimeter as topics to be explained and then practiced, situating learning in problem-solving scenarios and using household items as manipulatives can illustrate ideas and derive the mathematical formulas and relationships.

Using Lego bricks, we quickly transformed equations and word problems into problem-solving situations that could be built. Student Lego constructions were used as evidence for comparing and contrasting physically how area and perimeter are similar and different as well as mathematical ways to calculate these concepts (e.g., students quickly learned by using Legos that perimeter is the distance around a shape while area is the total shape of an object). Thus, situating learning and having students use data as evidence for mathematical understanding have been critical for motivating and engaging students in distance learning environments.

Using an explore-before-explain sequence of mathematics instruction helps transform traditional mathematics lessons into activities that promote the development of deeper conceptual understanding and transfer learning.

## A ‘Whiteboard Wall’

Andrea Clark is a grade 5-7 math and language arts teacher in Austin, Texas. She has a master’s in STEM education and has been teaching for over 10 years:

If you want to increase motivation, persistence, and participation in your math classroom, I recommend a whiteboard wall. Or some reusable dry erase flipcharts to hang on the wall. Or some dry erase paint. Anything to get your students standing up and working on math together on a nonpermanent surface.

The idea of using “vertical nonpermanent surfaces” in the math classroom comes from Peter Liljedahl’s work with the best conditions for encouraging and supporting problem-solving in the math classroom. He found that students who worked on whiteboards (nonpermanent surfaces) started writing much sooner than students who worked on paper. He also found that students who worked on whiteboards discussed more, participated more, and persisted for longer than students working on paper. Working on a vertical whiteboard (hung on the wall) increased all of these factors, even compared with working on horizontal whiteboards.

Adding additional whiteboard space for my students to write on the walls has changed my math classroom (I have a few moveable whiteboard walls covered in dry erase paint as well as one wall with large whiteboards from end to end). My students spent less time sitting down, more time collaborating, and more time doing high-quality math. They were more willing to take risks, even willing to erase everything they had done and start over if necessary. They were able to solve problems that were complex and challenging, covering the whiteboards with their thinking and drawing.

And my students loved it. They were excited to work together on the whiteboards. They were excited to come to math and work through difficult problems together. They moved around the room, talking to other groups and sharing ideas. The fact that the boards were on the wall meant that everyone could see what other groups were doing. I could see where every group was just by looking around the room. I could see who needed help and who needed more time to work through something. But my students could see everything, too. They could get ideas from classmates outside of their group, using others’ ideas to get them through a disagreement or a sticking point. It made formally presenting their ideas easier, too; everyone could just turn and look at the board of the students who were sharing.

I loved ending the math class with whiteboards covered in writing. It reminded me of all of the thinking and talking and collaborating that had just happened. And that was a good feeling at the end of the day. Use nonpermanent vertical surfaces and watch your math class come alive.

Thanks to Cindy, Danielle, Patrick, and Andrea for their contributions!

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## Top 9 Math Strategies for Successful Learning (2021 and Beyond)

## Why are effective Math strategies so important for students?

Getting students excited about math problems, top 9 math strategies for engaging lessons.

- How teachers can refine math strategies

Math is an essential life skill. You use problem-solving every day. The math strategies you teach are needed, but many students have a difficult time making that connection between math and life.

Math isn’t just done with a pencil and paper. It’s not just solving word problems in a textbook. As an educator, you need fresh ways for math skills to stick while also keeping your students engaged.

In this article, we’re sharing 9 engaging math strategies to boost your students’ learning . Show your students how fun math can be, and let’s freshen up those lesson plans!

Unlike other subjects, math builds on itself. You can’t successfully move forward without a strong understanding of previous materials. And this makes math instruction difficult.

To succeed in math, students need to do more than memorize formulas or drill times tables. They need to develop a full understanding of what their math lessons mean , and how they translate into the real world. To reach that level of understanding, you need a variety of teaching strategies.

Conceptual understanding doesn’t just happen at the whiteboard. But it can be achieved by incorporating fun math activities into your lessons, including

- Hands-on practice
- Collaborative projects
- Gamified or game-based learning

Repetition and homework are important. But for these lessons to really stick, your students need to find the excitement and wonder in math.

Creating excitement around math can be an uphill battle. But it’s one you and your students can win!

Math is a challenging subject — both to teach and to learn. But it’s also one of the most rewarding. Finding the right mix of fun and learning can bring a lot of excitement to the classroom.

Think about what your students already love doing. Video games? Legos? Use these passions to create exciting math lesson plans your students can relate to.

Hands-on math practice can engage students that have disconnected from math. Putting away the pencils and textbooks and moving students out of their desks can re-energize your classroom.

If you’re teaching elementary or middle school math, find ways for your students to work together. Kids this age crave peer interaction. So don’t fight it — provide it!

Play a variety of math games or puzzles . Give them a chance to problem-solve together. Build real-world skills in the classroom while also boosting student confidence.

And be sure to celebrate all the wins! It is easy to get bogged down with instruction and testing. But even the smallest accomplishments are worth celebrating. And these rewarding moments will keep your students motivated and pushing forward.

Keep reading to uncover all of our top math strategies for keeping your students excited about math.

## 1. Explicit instruction

You can’t always jump straight into the fun. Explicit instruction still provides the best foundation for the activities to come.

Set up your lesson for the day at the whiteboard, along with materials to demonstrate the coming activities. Make sure to also focus on any new vocabulary and concepts.

Tip: don't stay here for too long. Once the lesson is introduced, move on to the next fun strategy for the day!

## 2. Conceptual understanding

Helping your students understand the concept behind the lesson is crucial, but not always easy. Even your highest performing students may only be following a pattern to solve problems, without grasping the “why.”

Visual aids and math manipulatives are some of your best tools to increase conceptual understanding. Math is not a two dimensional subject. Even the best drawing of a cone isn’t going to provide the same experience as holding one. Find ways to let your students examine math from all sides.

Math manipulatives don’t need to be anything fancy. Basic wooden blocks, magnets, molding clay and other toys can create great hands-on lessons. No need to invest in expensive or hard-to-find materials.

Math word problems are also a great time to break out a full-fledged demo. Hot Wheels cars can demonstrate velocity and acceleration. A tape measure is an interactive way to teach area and volume. These materials give your students a chance to bring math off the page and into real life.

## 3. Using concepts in Math vocabulary

There’s more than one way to say something. And the more ways you can describe a mathematical concept, the better. Subtraction can also be described as taking away or removing. Memorizing multiplication facts is useful, but seeing these numbers used to calculate area gives them new meaning.

Some math words are going to be unfamiliar. So to help students get comfortable with these concepts, demonstrate and label math ideas throughout your classroom . Understanding comes more easily when students are surrounded by new ideas.

For example, create a division corner in your station rotations , with blocks to demonstrate the concept of one number going into another. Use baskets and labels to have students separate the blocks into each part of the division problem: dividend, divisor, quotient and remainder.

Give students time to explore, and teach them big ideas with both academic and everyday terms. Demystify math and watch their confidence build!

## 4. Cooperative learning strategies

When students work together, it benefits everyone. More advanced students can lead, helping them solidify their knowledge. And they may have just the right words to describe an idea to others who are struggling.

It is rare in real-life situations for big problems to be solved alone. Cooperative learning allows students to view a problem from various angles. This can lead to more flexible, out-of-the-box thinking.

After reviewing a word problem together as a class, ask small student groups to create their own problems. What is something they care about that they can solve with these skills? Involve them as much as possible in both the planning and solving. Encourage each student to think about what they bring to the group. There’s no better preparation for the future than learning to work as a team.

## 5. Meaningful and frequent homework

When it comes to homework, it pays to think outside of textbooks and worksheets. Repetition is important, but how can you keep it fun?

Create more meaningful homework by including games in your curriculum plans. Encourage board game play or encourage families to play quiz-style games at home to improve critical thinking, problem solving and basic math skills.

Sometimes you need homework that doesn’t put extra work onto the parents. The end of the day is already full for many families. To encourage practice and give parents a break, assign game-based options like Prodigy Math Game for homework.

With Prodigy, students can enjoy a fun, video game experience that helps them stay excited and motivated to keep learning. They’ll practice math skills, while their parents have time to fix dinner. Plus, you’ll get progress reports that can help you plan future instruction . Win-win-win!

Set an Assessment through your Prodigy teacher account today to reinforce what you’re teaching in class and differentiate for student needs.

Ready to make homework fun?

## 6. Puzzle pieces math instruction

Some kids excel at math. But others pull back and may rarely participate. That lack of confidence is hard to break through. How can you get your reluctant students to join in?

Try giving each student a piece of the puzzle. When you’re presenting your class with a problem, this creates necessary collaboration to get to the solution.

Each student is given a piece of information needed to solve the problem. A number, a unit of measurement, or direction — break your problem into as many pieces as possible.

If you have a large class, break down three or more problems at a time. The first task: find the other students who are working on your problem (try color-coding or using symbols to distinguish each problem’s parts). Then watch the learning happen as everyone plays their own important role.

## 7. Verbalize math problems

There’s little time to slow down in the classroom. Instruction has to move fast to keep up with the expected standards. And students feel that, too.

When possible, try to set aside some time to ask about your students’ math struggles. Make sure they know that they can come to you when they get stuck. Keep the conversation open to their questions as much as possible.

One great way to encourage questions is to address common troubles students have encountered in the past. Where have your past classes struggled? Point these out during your explicit instruction, and let your students know this is a tricky area.

It’s always encouraging to know you’re not alone in finding something difficult. This also leaves the door open for questions, leading to more discovery and greater understanding.

## 8. Reflection time

Providing time to reflect gives the brain a chance to process the work completed. This can be done after both group and individual activities.

## Group Reflection

After a collaborative activity, save some time for the group to discuss the project . Encourage them to ask:

- What worked?
- What didn’t work?
- Did I learn a new approach?
- What could we have done differently?
- Did someone share something I had never thought of before?

These questions encourage critical thinking. They also show the value of working together with others to solve a problem. Everyone has different ways of approaching a problem, and they’re all valuable.

## Individual Reflection

One way to make math more approachable is to show how often math is used. Journaling math encounters can be a great way for students to see that math is all around.

Ask them to add a little bit to their journal every day, even just a line or two. Where did they encounter math outside of class? Or what have they learned in class that has helped them at home?

Math skills easily transfer outside of the classroom. Help them see how much they have grown, both in terms of academics and social emotional learning .

## 9. Making Math facts fun

As a teacher, you know math is anything but boring. But transferring that passion to your students is a tricky task. So how can you make learning math facts fun?

Play games! Math games are great classroom activities. Here are a few examples:

- Design and play a board game.
- Build structures and judge durability.
- Divide into groups for a quiz or game show.
- Get kids moving and measure speed or distance jumped.

Even repetitive tasks can be fun with the right tools. That’s why engaging games are a great way to help students build essential math skills. When students play Prodigy Math Game , for example, they learn curriculum-aligned math facts without things like worksheets or flashcards. This can help them become excited to play and learn!

## How teachers can refine Math strategies

Sometimes trying something new can make a huge difference for your students. But don’t stress and try to change too much at once.

You know your classroom and students best. Pick a couple of your favorite strategies above and try them out.

If you're looking to freshen up your math instruction, sign up for a free Prodigy teacher account. Your students can jump right into the magic of the Prodigy Math Game, and you’ll start seeing data on their progress right away!

Ideas, Inspiration, and Giveaways for Teachers

We Are Teachers

## 14 Effective Ways to Help Your Students Conquer Math Word Problems

If a train leaving Minneapolis is traveling at 87 miles an hour…

Word problems can be tricky for a lot of students, but they’re incredibly important to master. After all, in the real world, most math is in the form of word problems. “If one gallon of paint covers 400 square feet, and my wall measures 34 feet by 8 feet, how many gallons do I need?” “This sweater costs $135, but it’s on sale for 35% off. So how much is that?” Here are the best teacher-tested ideas for helping kids get a handle on these problems.

## 1. Solve word problems regularly

This might be the most important tip of all. Word problems should be part of everyday math practice, especially for older kids. Whenever possible, use word problems every time you teach a new math skill. Even better: give students a daily word problem to solve so they’ll get comfortable with the process.

Learn more: Teaching With Jennifer Findlay

## 2. Teach problem-solving routines

There are a LOT of strategies out there for teaching kids how to solve word problems (keep reading to see some terrific examples). The important thing to remember is that what works for one student may not work for another. So introduce a basic routine like Plan-Solve-Check that every kid can use every time. You can expand on the Plan and Solve steps in a variety of ways, but this basic 3-step process ensures kids slow down and take their time.

Learn more: Word Problems Made Easy

## 3. Visualize or model the problem

Encourage students to think of word problems as an actual story or scenario. Try acting the problem out if possible, and draw pictures, diagrams, or models. Learn more about this method and get free printable templates at the link.

Learn more: Math Geek Mama

## 4. Make sure they identify the actual question

Educator Robert Kaplinsky asked 32 eighth grade students to answer this nonsensical word problem. Only 25% of them realized they didn’t have the right information to answer the actual question; the other 75% gave a variety of numerical answers that involved adding, subtracting, or dividing the two numbers. That tells us kids really need to be trained to identify the actual question being asked before they proceed.

Learn more: Robert Kaplinsky

## 5. Remove the numbers

It seems counterintuitive … math without numbers? But this word problem strategy really forces kids to slow down and examine the problem itself, without focusing on numbers at first. If the numbers were removed from the sheep/shepherd problem above, students would have no choice but to slow down and read more carefully, rather than plowing ahead without thinking.

Learn more: Where the Magic Happens Teaching

## 6. Try the CUBES method

This is a tried-and-true method for teaching word problems, and it’s really effective for kids who are prone to working too fast and missing details. By taking the time to circle, box, and underline important information, students are more likely to find the correct answer to the question actually being asked.

Learn more: Teaching With a Mountain View

## 7. Show word problems the LOVE

Here’s another fun acronym for tackling word problems: LOVE. Using this method, kids Label numbers and other key info, then explain Our thinking by writing the equation as a sentence. They use Visuals or models to help plan and list any and all Equations they’ll use.

## 8. Consider teaching word problem key words

This is one of those methods that some teachers love and others hate. Those who like it feel it offers kids a simple tool for making sense of words and how they relate to math. Others feel it’s outdated, and prefer to teach word problems using context and situations instead (see below). You might just consider this one more trick to keep in your toolbox for students who need it.

Learn more: Book Units Teacher

## 9. Determine the operation for the situation

Instead of (or in addition to) key words, have kids really analyze the situation presented to determine the right operation(s) to use. Some key words, like “total,” can be pretty vague. It’s worth taking the time to dig deeper into what the problem is really asking. Get a free printable chart and learn how to use this method at the link.

Learn more: Solving Word Problems With Jennifer Findlay

## 10. Differentiate word problems to build skills

Sometimes students get so distracted by numbers that look big or scary that they give up right off the bat. For those cases, try working your way up to the skill at hand. For instance, instead of jumping right to subtracting 4 digit numbers, make the numbers smaller to start. Each successive problem can be a little more difficult, but kids will see they can use the same method regardless of the numbers themselves.

Learn more: Differentiating Math

## 11. Ensure they can justify their answers

One of the quickest ways to find mistakes is to look closely at your answer and ensure it makes sense. If students can explain how they came to their conclusion, they’re much more likely to get the answer right. That’s why teachers have been asking students to “show their work” for decades now.

Learn more: Madly Learning

## 12. Write the answer in a sentence

When you think about it, this one makes so much sense. Word problems are presented in complete sentences, so the answers should be too. This helps students make certain they’re actually answering the question being asked… part of justifying their answer.

Learn more: Multi-Step Word Problems

## 13. Add rigor to your word problems

A smart way to help kids conquer word problems is to, well… give them better problems to conquer. A rich math word problem is accessible and feels real to students, like something that matters. It should allow for different ways to solve it and be open for discussion. A series of problems should be varied, using different operations and situations when possible, and even include multiple steps. Visit both of the links below for excellent tips on adding rigor to your math word problems.

Learn more: The Routty Math Teacher and Alyssa Teaches

## 14. Use a problem-solving rounds activity.

Put all those word problem strategies and skills together with this whole-class activity. Start by reading the problem as a group and sharing important information. Then, have students work with a partner to plan how they’ll solve it. In round three, kids use those plans to solve the problem individually. Finally, they share their answer and methods with their partner and the class. Be sure to recognize and respect all problem-solving strategies that lead to the correct answer.

Learn more: Teacher Trap

Like these word problem tips and tricks? Learn more about Why It’s Important to Honor All Math Strategies .

Plus, 60+ Awesome Websites For Teaching and Learning Math .

Jill Staake is a Contributing Editor with WeAreTeachers. She has a degree in Secondary English Education and has taught in middle and high school classrooms. She's also done training and curriculum design for a financial institution and been a science museum educator. She currently lives in Tampa, Florida where she often works on her back porch while taking frequent breaks for bird-watching and gardening.

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## 4th grade math tips: Here's how to help your student

Hoping to help your fourth-grader with math skills ? Here are some basic tips that experts suggest.

## Encourage a positive attitude toward math

It’s around fourth grade that many youngsters become discouraged by math and begin to think of it as a subject they’re just not good at. Be aware of this and try to prevent your child from developing a defeatist attitude toward math. Encourage them to stick with it when a problem appears difficult and to approach it in different ways.

## Read math problems out loud

If your child is struggling with math problems, have them read each problem out loud slowly and carefully, so your child can hear the problem and think about what is being asked. This helps them break down the problem and come up with problem-solving strategies.

## parenting-guides 4th Grade Parenting Guides

Integrate math into everyday activities.

Continue to find ways to integrate discussion of math concepts such as “times as much” into your everyday activities. Compare the weights of your fourth-grader and their siblings, or the family pet. Figure out how many times your cat’s weight your child weighs, and how many times your child’s weight their father weighs.

## Keep an eye out for math concepts

Encourage your child to spot examples of some of the math concepts they are learning about. See how many right angles or right triangles your child can spot. Or have them look for parallel lines, such as train tracks or pillars in a building.

## Highlight how math is used in cooking

Baking and cooking are among the best ways to familiarize your fourth-grader with how fractions work. Having them help out in the kitchen also reinforces valuable sequencing skills and time management concepts.

## Parenting Guides 4th grade math skills: Find out what you need to know for your student

Practice math in the car.

When you have a long trip to take in the car and your child asks how long until you get there, have them answer the question themselves by using math. Tell them how fast you’re traveling and how far away you are, and see if they can estimate how long it will take you to arrive.

## Use math in house projects

Encourage your child to use their math skills for projects around the house. If you’re wallpapering or carpeting, for example, have them calculate wall or floor areas and figure out the total cost of various materials.

## Encourage math appreciation through sports

Sports provide a fun and engaging way of exploring a host of mathematical concepts, starting with basic addition. The halves of a soccer game or the quarters of a football game offer an illustration of how fractions work in the real world. If your child enjoys a sport, encourage him or her to explore it through math.

## Encourage music appreciation

Music is a great way for your child to engage with concepts related to math. Practicing an instrument means learning about tempo, measure, and meter—all of which involve math.

## Play family games

Plenty of family games incorporate math. Tic-tac-toe, Connect Four, many card games, and dominoes are just some of the games that help build strategic thinking and math skills.

To find out what your fourth-grader will be learning in math class, check out our fourth grade math skills page .

Parent Toolkit resources were developed by NBC News Learn with the help of subject-matter experts, including Joyce Epstein, Director, Center on School, Family and Community Partnerships, Johns Hopkins University; Pamela Mason, Program Director/Lecturer on Education, Harvard Graduate School of Education; Denise Walston, Director of Mathematics, Council of the Great City Schools; Nell Duke, Professor, University of Michigan; Leanna Baker, Retired Math Teacher; Bon Crowder, Math Teacher and Blogger, MathFour.com; Robin Schwartz, VP, Association of Teachers of Math of NYC, and align with the Common Core State Standards.

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## 4th Grade Multi-Step Problems

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Solve multi-step problems of various types using whole numbers, fractions, and decimals. (0406.2.13) Links verified on 11/5/2011 Cameron's Trip - multiply and divide to solve real-world problems Computation Castle - a game that requires the utilization of several math skills: mixed numbers/improper fractions, equivalent fractions, metric conversions, exponents, rounding to the nearest thousands and thousandths and place value Groups Of Dogs - use arrays to understand the meaning of multiplication Let's Go Shopping - estimate by rounding to the nearest dollar as they shop Lunch Lady - The Lunch Lady (you) must total the three items on ten lunch trays (one at a time) in three minutes. Maggie's Farm - keep up with how many apples are sold and how much money was made Math at the Mall - practice percentages and finding the best deal while shopping at a virtual mall Mathematics Problem Solving Index - practice at solving a variety of word problems Shopping at Troy's Toys - percent shopping Solving Math Word Problems - A Study Guides and Strategies web site posted by the University of St. Thomas Spy Guys Interactive - Problem Solving Bank - Lesson 20 . (fifteen problems to solve, with suggested strategies given) Taming Word Problems - a WebQuest Teacher Dodgeball - fill in numbers on an equation - Each blank of the equation stands for a number on a teacher. Hit the teacher with the number that goes next in the equation by clicking on them. Two-step Computation - multiply and add to find costs of food Translating Word Problems - The hardest thing about doing word problems is taking the English problem and translating it into math. A lesson from Purplemath, a great Algebra resource What Percentage of your Class is Right or Left Handed? - a data collection and analysis class experiment Who Wants Pizza? - work through ten interactive pages on pictorial representations of fractions Word Problems For Kids - This is a set of carefully selected problems (grade 5 to Grade 12) which can help you improve your problem solving skills. Word Problem Practice - Problems in addition, subtraction and more ( Warning: many pop-up ads on this site) ( grades 1-5 ) site for teachers | PowerPoint show | Acrobat document | Word document | whiteboard resource | sound | video format | interactive lesson | a quiz | lesson plan | to print

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- Fourth Grade

## " class="arrow-title-img">Grade 4 math word problems with answers and explanations

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## Simple word problems solving strategies for grade 4

Get more contents on fourth grade..., math word problems for grade 4 online.

We encourage your 4th graders to engage in our Grade 4 math word problems with answers and explanations . This content is created to offer you excellent skills and strategies for solving all 4th-grade word problems.

Before now, your 4th graders have been striving to develop fluency in solving grade 4 math concepts.

However, our math word problems for grade 4 online and worksheets have stepped in with well-designed outstanding math stories for your kids to practice solving multi-step word problems involving real-life scenarios (money, time, distance, etc.), all-around addition word problems, subtraction word problems, multiplication word problems, division word problems, fraction word problems, decimal word problems, etc.

Also, in its most unique way, we are here to help your kids master the best ways of solving word problems in a step-by-step and organized way, thus to arrive at an accurate and concrete answer.

- Adding two numbers up to five digits word problems grade 4
- Adding two numbers up to seven digits word problems grade 4
- Estimating sums word problems grade 4
- Adding 3 or more decimals word problems grade 4
- Adding and subtracting decimals word problems
- Division facts up to 10 word problems grade 4
- Fractions Worksheets And Online Exercises With Answers
- Fractions of whole word problems grade 4
- Multiplication
- 3 digits or 4 digits number by 1 digit numbers multiplication word problems
- Comparing numbers using multiplication word problems grade 4
- Estimating products word problems grade 4
- Multiplying 2 digits number by 2 digits numbers word problems
- Multiplying a larger number by two digits numbers word problems
- Multiplying three or more numbers word problems
- Multiplying two digit number by one digit number word problems grade 4
- Subtraction
- Estimating differences word problems grade 4
- Subtract numbers up to seven digits word problems grade 4
- Subtracting two numbers up to five digits word problems

## Download 4th-grade worksheets

Hey kiddos! Get ready to enjoy our simple word problems solving strategies for grade 4 . These strategies have been given to help you easily connect the word problems and equations that represent those problems.

In other words, whether it’s a one-step or multi-step word problem for grade 4, gradually follow the steps below:

- The first step is to begin by reading the word problem carefully at least twice to understand the problem and its keyword perfectly. As such, you’ll correctly know what the problem is asking you to do.
- Next, you can now write the equation in your own words and then decide what strategy to use in finding the missing information. If it’s a two-step problem, distinguish the two parts of the problem, then identify and solve the first part. Next, the answer from the first step will help you solve the next step.

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## Problem-Solving Strategies

This problem-solving strategies worksheet also includes:.

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Read carefully, look for key words, eliminate, estimate, check your answers. Give your youngsters the strategies for approaching multiple-choice problem solving, focusing on multiplication and division of whole numbers, with this comprehensive set of worksheets.

## Additional Tags

Instructional ideas.

- As you go through the answers to the practice sample, consider having students role play each scenario with physical objects in order to illustrate what is happening in each problem
- Have learners demonstrate their thought processes and work on separate sheets of paper to submit when they turn in this worksheet
- Resource provides sample pre-test, strategies handout, and practice worksheet
- Includes answer key

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Math stars: a problem-solving newsletter grade 3, real-life word problems, math stars: a problem-solving newsletter grade 6, nothing but problems, real-life word problems, part 4, real-life word problems, part 6, properties of operations as strategies- independent practice worksheet, get ready for problem solving strategies, multiplication word problems, using groups of ten to solve problems.

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Multiply by 1-digit numbers 0/1300 Mastery points Comparing with multiplication Multiplication by 10s, 100s, and 1000s Multi-digit multiplication: place value and area models Estimate products Multiply with partial products Multiply by 2-digit numbers 0/500 Mastery points

In fourth grade, students focus most on using all four operations - addition, subtraction, multiplication, and division - to solve multi-step word problems involving multi-digit numbers....

In fourth grade, students begin to calculate the area of shapes and use different problem-solving strategies to solve word problems. To work on these skill areas, they're expected to be able to: Explain what multiplication and division are Know the times tables up to 12 and multiply numbers by 10

Solving: Equip Kids to Solve Math Problems With Confidence By Bethany Lake Creator and Writer at ... problem, here are some strategies to use for various types of problems. !!!!! Strategies!for!ProblemSolving! ! www.MathGeekMama.com!!! ! 11!!!!! Problem Solve by Drawing ...

Math for Kids Is Your Child Struggling With Math? 1:1 Online Math Tutoring Let's start learning Math! Guess and Check The guess and check approach is one of the time-intensive strategies for problem solving in math. Students are to keep guessing until they find the proper answer.

Fourth Grade (Grade 4) Problem Solving Strategies questions for your custom printable tests and worksheets. In a hurry? Browse our pre-made printable worksheets library with a variety of activities and quizzes for all K-12 levels. ... Joshua's favorite math skill is adding numbers. He found the sum of 8,259 and 2,175 to be 10,434. Which ...

The 4th 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.

Daily Problem Solving for Grade 4 takes a "problem of the day" approach to avoid overwhelming struggling or reluctant learners while they work to build confidence and competence with strategies for math word problems.Students love the format because it's both fun and engaging, with each week centering on a kid-friendly theme.

Differentiation Characteristics Solving word problems takes skill, attention to detail, and a good problem solving strategy. Fourth grade math word problems usually involve one of the basic math operations - addition, subtraction, multiplication, or division.

Solve for the unknown. b. Write a problem of your own that could be solved using the diagram above. 5. Create a problem of your own using the diagram below, and solve for the unknown. Show Step-by-step Solutions Show Step-by-step Solutions Try the free Mathway calculator and problem solver below to practice various math topics.

This centers set covers multiplication and division for fourth grade standards. The focus of these centers is strategies and problem solving. There are 10 total centers. (CC and TEKS) Every center has an answer key included so students can easily check their work. Fill your fourth grade math centers/rotations with these activities!

The Problem Solving Strategies First, I wanted to make sure my students all learned the different strategies to solve problems, such as guess-and-check, using visuals (draw a picture, act it out, and modeling it), working backward, and organizational methods (tables, charts, and lists).

Here are the seven strategies I use to help students solve word problems. 1. Read the Entire Word Problem Before students look for keywords and try to figure out what to do, they need to slow down a bit and read the whole word problem once (and even better, twice).

The CRA approach is appropriate and applicable to all grade levels. It is not about the age of the student but rather the concept being taught. In 3rd grade, it is beneficial to students to...

The first task: find the other students who are working on your problem (try color-coding or using symbols to distinguish each problem's parts). Then watch the learning happen as everyone plays their own important role. 7. Verbalize math problems There's little time to slow down in the classroom.

Here are the best teacher-tested ideas for helping kids get a handle on these problems. 1. Solve word problems regularly This might be the most important tip of all. Word problems should be part of everyday math practice, especially for older kids. Whenever possible, use word problems every time you teach a new math skill.

Assist students in monitoring and reflecting on the problem-solving process. 1. Provide students with a list of prompts to help them monitor and reflect during the problem-solving process. 2. Model how to monitor and reflect on the problem-solving process. 3. Use student thinking about a problem to develop students' ability to monitor and ...

By Aisha Labi Hoping to help your fourth-grader with math skills? Here are some basic tips that experts suggest. Encourage a positive attitude toward math It's around fourth grade that...

Solve multi-step problems of various types using whole numbers, fractions, and decimals. (0406.2.13) Links verified on 11/5/2011. Cameron's Trip - multiply and divide to solve real-world problems ; Computation Castle - a game that requires the utilization of several math skills: mixed numbers/improper fractions, equivalent fractions, metric conversions, exponents, rounding to the nearest ...

About This Chapter. Help your 4th grade students catch up on multiplication strategies and mental math with this chapter. As a learning aid for the classroom and home, our lesson materials provide ...

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This Problem-Solving Strategies Worksheet is suitable for 3rd - 4th Grade. Read carefully, look for key words, eliminate, estimate, check your answers. Give your youngsters the strategies for approaching multiple-choice problem solving, focusing on multiplication and division of whole numbers, with this comprehensive set of worksheets.

Check out the game at https://www.magemath.com/Learn how to solve multi step word problems for 4th grade in this fun video. We help kids learn to solve compl...