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Introduction to Fractions Workbook

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3rd Grade fraction word problems

Identifying and comparing fractions word problems.

These printable worksheets have grade 3 word problems related to identifying and/or comparing fractions. They also provide practice in simplifying fractions. Both fractions and mixed numbers are used.

problem solving fraction grade 3

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Free Printable Fraction Word Problems Worksheets for 3rd Grade

Fraction Word Problems: Discover a collection of free printable worksheets tailored for Grade 3 math teachers, focusing on enhancing students' understanding of math fractions through interactive word problems.

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Explore printable Fraction Word Problems worksheets for 3rd Grade

Fraction Word Problems worksheets for Grade 3 are an excellent resource for teachers looking to help their students master the essential math skills required at this level. These worksheets provide a variety of engaging and challenging problems that require students to apply their understanding of fractions in real-life situations. By incorporating these worksheets into their lesson plans, teachers can ensure that their students are developing a strong foundation in math, while also improving their problem-solving abilities. With a wide range of topics covered, from simple addition and subtraction of fractions to more complex problems involving mixed numbers and equivalent fractions, these Grade 3 Fraction Word Problems worksheets are a must-have for any elementary math teacher's toolkit.

In addition to Fraction Word Problems worksheets for Grade 3, teachers can also utilize Quizizz, an interactive learning platform that offers a variety of math resources, including Math Word Problems. Quizizz allows teachers to create engaging quizzes and games that can be played in class or assigned as homework, providing students with a fun and interactive way to practice their math skills. With a vast library of pre-made quizzes covering various topics such as fractions, decimals, and percentages, teachers can easily find content that aligns with their lesson plans and meets the needs of their Grade 3 students. By incorporating Quizizz into their teaching strategies, educators can not only enhance their students' understanding of math concepts but also foster a love for learning and problem-solving that will serve them well throughout their academic careers.

Fractions - Grade 3

These lessons will help you develop an understanding of division by:

  • explaining that a fraction represents a part of a whole,
  • comparing fractions of the same whole that have like denominators.

See also: Comparing Fractions Lesson Plans and Worksheets for Grade 3 Common Core For Grade 3 Lessons for Grade 3 Fraction Worksheets

Examples, solutions, videos, worksheets, songs, games, and activities to help Grade 3 students understand fractions.

A fraction is a number that describes a relationship between a part (represented by the numerator) and a whole (represented by the denominator). Although you see two numbers, you have to think of one idea, the relationship.

Fractions as Part of a Whole

A fraction can be used to name a part of a whole.

For example, the following circle is divided into four equal parts: blue, green, yellow and red. Each part, or color, of the circle represents 1/4 (one-fourth) of the whole circle. 4/4 or 1 represents the whole circle.

fractions as part of a whole

You use numerators and denominators to name fractions. The numerator (top number) of the fraction tells the number of parts being considered. The denominator (bottom number) of the fraction tells the number of parts in a whole.

fractions

The following diagram shows an example of a fraction indicating the numerator, denominator, and fraction bar. Scroll down the page for more examples and solutions of fractions.

What is a Fraction

Fractions: Parts of a Whole Fractions are equal size parts of a whole. Learn how to represent fractions in different ways by dividing the same whole into equal parts. Learn how to write and name a fraction by using numbers called the numerator or top number and denominator or bottom number. Learn that the larger the denominator, the smaller the fractional parts by using models and looking at real world examples.

Fractions-fractions song Fractions - they’re parts of a whole. Sing about halves, thirds, quarters, numerators and denominators. Lyrics: Fractions, fractions, They’re parts of a whole, Fractions, fractions, They’re what I know… They’re equal pieces, They’re parts of a pie, Fractions, fractions, They’re alright!

Compare Fractions with Like Denominators

If two fractions have the same denominator, the fraction with the greater numerator represents the larger piece of the whole. If the denominators of two fractions from the same whole are the same, then the parts are the same.

We can use the symbols for greater than and less than (< and >) when comparing fractions with the same denominator.

If John ate 2/6 of the pizza and Gina ate 3/6 of the pizza, who ate the most pizza?

fractions with like denominator

How to compare fractions with like denominators?

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CHALLENGE ZONE 3rd Grade Math Problems

Welcome to our 3rd 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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3rd Grade Math Problems

Here you will find a range of problem solving worksheets.

The 3rd 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 systematically
  • searching for all possible answers.

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

3rd Grade Math Word Problems

  • Bikes and Trikes

Bikes and Trikes is an activity to encourage children to work systematically and find all possibilities for the number of bikes and trikes at a show.

  • PDF version
  • Captain's Coins

Captain's Coins is a 3rd grade math problem activity involving sharing out a pile of coins according to certain rules. This activity is good to use for developing trial and improvement strategie.

  • Broken Calculator Problem 2

The Broken Calculator problem is a number problem involving using an imaginary broken calculator with only the 3, 5, +, - and = buttons working to make different totals.

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
  • Color that Shape

Color that Shape is a coloring activity which uses logical thinking to work out which shape needs to be shaded which color.

  • Dilly's Eggs #2

Dilly's Eggs is an activity involving counting in different size steps. The aim is to work out how many eggs Dilly had from two separate rules. It is a good activity to develop systematic working and the use of lists or tables to solve a problem.

  • Frogs in Ponds

Frogs in Ponds is a 3rd grade math problem activity which involves using trial and improvement and logical thinking to get the correct number of frogs into each of the ponds.

Join Me Up is an logical puzzle where the aim is to place the numbers from 1 to 7 into the puzzle so that no consecutive numbers are next to each other.

Place It RIght #3

Place It Right is a place value activity designed to get children thinking hard about where to put the beads on a place value abacus to get numbers closest to a specific total.

  • Place It Right #3
  • Sally's Rectangular Puzzle #1

Sally's Rectangular Puzzle is an adding puzzle where the aim is to give each circle a value so that the sides of the rectangles add together to make a given total.

Sally's Fruit Punch Challenge #1

Sally's Fruit Punch is a scaling problem involving changing a recipe for fruit punch for one glass into a recipe for ten glasses. In the challenge, you have to firstly work out the ingredients you need, and then work out the cost of the ingredients. This challenge is great for developing real-life math solving problems involving money and measures.

  • Sally's Fruit Punch Challenge 1
  • Sally's Fruit Punch Challenge 1 (UK version)
  • Share the Treasure #3

Share the Treasure is a fraction sharing activity where the aim is to share 24 bars between a group of pirates. It is a good activity for developing fraction problem solving.

  • Spot the Digits

Spot the Digits is a logic activity where children have to find out the values of the letters a, b, c and d. The values can be determined by using the 3 clues.

The Rock Race Challenge 1

The Rock Race is a number activity 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.

  • The Rock Race #1

The Three Spiders Problem

The Three Spiders Problem is another problem which involves finding all the possibilites. The aim of this task is to find all triples of odd numbers that add up to 23. Good for odd and even practice as well as adding three small numbers together and strategic thinking.

  • Three Spiders Problem

Looking for some easier math problems?

We have a range of easier word problems at our 2nd-grade-math-salamanders website.

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

Many of the problems, e.g. Place It Right, Pick the Cards and Share the Treasure have easier versions on this page.

Using the link below will open our 2nd grade site in a new tab.

  • Second grade Math Problems

Looking for some harder word problems

We have a range of more challenging word problems on our 4th grade problem solving page.

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

Some of the problems, e.g. The Rock Race and Share the Treasure have harder versions on this page.

  • 4th Grade Math Problems

Looking for some more third grade math problems?

Here are a range of problems solving sheets for 3rd graders. Most of the sheets contain 'real-life' problems which involve real data.

Using the sheets will help your child to:

  • apply their addition, subtraction, and multiplication skills;
  • develop their knowledge of fractions;
  • apply their knowledge of rounding and place value;
  • solve a range of 'real life' problems.

All the 3rd grade sheets in this section support Elementary math benchmarks.

  • Math Word Problems for kids 3rd Grade
  • Multiplication Word Problem Worksheets 3rd Grade

3rd Grade Money Worksheets

On this webpage, you will find our 3rd grade Money Challenges.

These challenges involve solving money problems and are a great way for kids to develop their reasoning skills and practice their counting money at the same time.

  • 3rd Grade Money Challenges
  • 3rd Grade Math Puzzles

Here you will find a range of printable 3rd grade math puzzles for your child to enjoy.

The puzzles will help your child practice and apply their addition, subtraction and multiplication 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 to 100;
  • practice adding multiples of 10;
  • practice their subtraction facts to 100;
  • practice multiplication and division facts;
  • develop problem solving skills and reasoning.

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3rd Grade Fractions Worksheets

3rd grade fractions worksheets help in providing practice questions on introductory fraction concepts including identifying fractions, equivalent fractions, simplifying fractions, and adding and subtracting fractions.

Benefits of Grade 3 Fractions Worksheets

One of the benefits of 3rd grade fractions worksheets is that the visual representation of all the fraction concepts help students solving simple problems and determining the numerator and denominator. These 3rd grade math worksheets also help students solve problems step by step with logical reasoning, which gives them a clear understanding of the concept. The concept of fraction goes hand-in-hand with the concept of division, hence these worksheets are designed for students to solve simple and easy questions that do not leave students confused.

☛ Practice : Grade 3 Interactive Fractions Worksheets

Printable PDFs for Fractions Worksheets for Grade 3

Fractions worksheets for grade 3 helps students in practicing their problems multiple times by just downloading the pdf format for free.

  • Math 3rd Grade Fractions Worksheet
  • Third Grade Math Fractions Worksheet
  • 3rd Grade Math Fractions Worksheet
  • Fractions Worksheet for 3rd Grade

Interactive 3rd Grade Fractions Worksheets

  • Visualization of Fractions of a Unit 2nd Grade Worksheet
  • 2nd Grade Numeric and Word forms of a Fraction Worksheet
  • Grade 2 Comparing and Ordering Fractions Worksheet
  • One Shape as a Fraction Worksheet of the Other for 2nd Grade
  • Fractions Worksheet of a collection (Visual) for Grade 2

Explore more topics at Cuemath's Math Worksheets .

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Fractions Worksheets for 3rd Graders

Enhance your child’s fraction skills by using 3rd grade fractions worksheets! Through fun printable worksheets, 3rd graders will be able to understand the concepts of parts and wholes easily. Fraction worksheets for children provide them with a great educational experience. Get started now!

problem solving fraction grade 3

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Fractions Using Models Worksheets

Select True or False Worksheet

Select True or False Worksheet

Reveal the secrets of math wizardry by selecting either true or false.

Represent the Shaded Part Worksheet

Represent the Shaded Part Worksheet

Use this printable worksheet to represent the shaded part to strengthen your math skills.

Represent Using Fractions Worksheet

Represent Using Fractions Worksheet

Print this worksheet to practice representing using fractions like a math legend!

Represent the Shaded Part Using Fraction Worksheet

Represent the Shaded Part Using Fraction Worksheet

Focus on core math skills with this fun worksheet by representing the shaded part using fractions.

Fractions On A Number Line Worksheets

Use Fraction Strips and Number Line Worksheet

Use Fraction Strips and Number Line Worksheet

Reveal the secrets of math wizardry by practicing to use fraction strips and number lines.

Identify Fraction on Number Line Worksheet

Identify Fraction on Number Line Worksheet

Focus on core math skills with this fun worksheet by solving to identify fractions on a number line.

Mark the Fraction on Number Line Worksheet

Mark the Fraction on Number Line Worksheet

Solidify your math skills by practicing to mark the fractions on a number line.

Identify Position On Number Line Worksheet

Identify Position On Number Line Worksheet

Reveal the secrets of math wizardry by practicing to identify the position on a number line.

Compare Fractions Worksheets

Compare the Fractions Worksheet

Compare the Fractions Worksheet

Learners must compare the fractions to enhance their math skills.

Compare Fractions Using Visuals Worksheet

Compare Fractions Using Visuals Worksheet

Solidify your math skills by practicing to compare fractions using visuals.

Compare Fractions Using Number Line Worksheet

Compare Fractions Using Number Line Worksheet

Put your skills to the test by practicing to compare fractions using a number line.

Use Benchmark to Identify Fractions on the Number Line - Worksheet

Use Benchmark to Identify Fractions on the Number Line Worksheet

Engaging worksheet to practice identifying fractions on a number line using benchmarks.

Order Fractions Worksheets

Circle the Greatest Fraction - Worksheet

Circle the Greatest Fraction Worksheet

This worksheet provides exercises on identifying the greatest fraction using visual models.

Circle the Smallest Fraction - Worksheet

Circle the Smallest Fraction Worksheet

A worksheet to enhance skills in ordering fractions using visual models by identifying the smallest one.

Shade to Order Fractions Worksheet

Shade to Order Fractions Worksheet

In this worksheet, learners will have to shade to order fractions.

Check Fraction Order Using Models - Worksheet

Check Fraction Order Using Models Worksheet

Enhance your skills in ordering fractions with this interactive worksheet using visual models.

Equivalent Fractions Worksheets

Equivalent Fractions Worksheet

Equivalent Fractions Worksheet

Put your skills to the test by practicing equivalent fractions.

Circle Equivalent Fractions Worksheet

Circle Equivalent Fractions Worksheet

Learn fractions at the speed of lightning by circling equivalent fractions.

Find Numerator to Make Equivalent Fractions Worksheet

Find Numerator to Make Equivalent Fractions Worksheet

Dive into this fun-filled printable worksheet by finding the numerator to make equivalent fractions.

Make the Fractions Equivalent Worksheet

Make the Fractions Equivalent Worksheet

Use this printable worksheet to make the fractions equivalent to strengthen your math skills.

Fractions Operations Worksheets

Express a Fraction as Product in Multiple Ways Worksheet

Express a Fraction as Product in Multiple Ways Worksheet

Pack your math practice time with fun by expressing a fraction as a product in multiple ways.

Express a Fraction as Product in Different Ways Worksheet

Express a Fraction as Product in Different Ways Worksheet

Learn to express a fraction as a product in different ways in this fun worksheet.

Represent a Fraction as Product in Different Ways Worksheet

Represent a Fraction as Product in Different Ways Worksheet

Learners must represent a fraction as a product in different ways to enhance their math skills.

All Fractions Worksheets

Compare the Fractional Numbers Worksheet

Compare the Fractional Numbers Worksheet

Solidify your math skills by practicing to compare fractional numbers.

Ordering Fractions Worksheet

Ordering Fractions Worksheet

Reinforce math concepts by practicing to order fractions.

Create Equivalent Fractions using Multiplication Worksheet

Create Equivalent Fractions using Multiplication Worksheet

Combine math learning with adventure by creating equivalent fractions using multiplication.

Compare & Complete the Fraction Worksheet

Compare & Complete the Fraction Worksheet

Reveal the secrets of math wizardry by practicing to compare & complete the fraction.

Check the Fraction Order - Worksheet

Check the Fraction Order Worksheet

This worksheet will test your ability to correctly order fractions without the aid of visual models.

Identify the Largest & Smallest Fraction Worksheet

Identify the Largest & Smallest Fraction Worksheet

Solidify your math skills by practicing to identify the largest & the smallest fraction.

Missing Denominator to Order Fractions - Worksheet

Missing Denominator to Order Fractions Worksheet

This worksheet focuses on finding the missing denominator to properly order fractions.

Mark Fractions Greater than 1 on a Number Line Worksheet

Mark Fractions Greater than 1 on a Number Line Worksheet

Reinforce math concepts by practicing to mark fractions greater than 1 on a number line.

Missing Numerator to Order Fractions - Worksheet

Missing Numerator to Order Fractions Worksheet

Enhance your fraction ordering skills with this worksheet on finding missing numerators!

Shade to Make Fractions Equivalent Worksheet

Shade to Make Fractions Equivalent Worksheet

Pack your math practice time with fun by shading to make the fractions equivalent.

Identifying Fraction Worksheet

Identifying Fraction Worksheet

Learn fractions at the speed of lightning by practicing to identify them.

Plot Fractions Greater than 1 on a Number Line Worksheet

Plot Fractions Greater than 1 on a Number Line Worksheet

This downloadable worksheet will help you plot fractions greater than 1 on a number line.

Order Fractions Using Symbols - Worksheet

Order Fractions Using Symbols Worksheet

This worksheet provides exercises on ordering fractions using symbols without the help of visual aids.

Shade & Make Fractions Equivalent Worksheet

Shade & Make Fractions Equivalent Worksheet

Children must shade & make fractions equivalent.

Representing the Whole Worksheet

Representing the Whole Worksheet

Put your skills to the test by practicing to represent the whole.

Identify Missing Fractions on the Number Line - Worksheet

Identify Missing Fractions on the Number Line Worksheet

Boost your skills with this worksheet on identifying missing fractions on the number line!

Compare Fractions Using Area Model Worksheet

Compare Fractions Using Area Model Worksheet

Print this worksheet to compare fractions using area models like a math legend!

Rewrite and Order - Worksheet

Rewrite and Order Worksheet

This worksheet helps students refine their skills in rewriting and arranging fractions without the use of visual aids.

Find Numerator to Have the Same Amount Worksheet

Find Numerator to Have the Same Amount Worksheet

Be on your way to become a mathematician by finding the numerator to have the same amount.

Draw the Whole Worksheet

Draw the Whole Worksheet

Focus on core math skills with this fun worksheet by drawing the whole.

Identify Missing Improper Fractions on the Number Line - Worksheet

Identify Missing Improper Fractions on the Number Line Worksheet

A worksheet to master identification of missing improper fractions on a number line.

Compare Fractions Using Given Model Worksheet

Compare Fractions Using Given Model Worksheet

Learn fractions at the speed of lightning by practicing to compare fractions using the given model.

The Greatest Like Fraction - Worksheet

The Greatest Like Fraction Worksheet

This worksheet helps students master the skill of ordering like fractions without the use of visual models.

Create Equivalent Fractions using Area Model Worksheet

Create Equivalent Fractions using Area Model Worksheet

Combine math learning with adventure by creating equivalent fractions using area models.

Represent the fractions Worksheet

Represent the fractions Worksheet

Pack your math practice time with fun by representing the given fractions.

Identify the Fractions Marked by the Given Letter on the Number Line - Worksheet

Identify the Fractions Marked by the Given Letter on the Number Line Worksheet

Enhance your fraction identification skills with this worksheet on number line fractions.

Apply Fractions to Compare Worksheet

Apply Fractions to Compare Worksheet

Combine math learning with adventure by applying fractions to compare.

The Smallest Like Fraction - Worksheet

The Smallest Like Fraction Worksheet

This worksheet enhances skills in ordering like fractions, focusing on the smallest value.

Identify the Fraction of the Shape Worksheet

Identify the Fraction of the Shape Worksheet

Be on your way to become a mathematician by identifying the fraction of the shape.

Mark the Fractions on an Open Number Line - Worksheet

Mark the Fractions on an Open Number Line Worksheet

This worksheet tests your ability to accurately place fractions on an open number line.

Impactful Learning

In grade 3, kids build the foundations of a topic like fractions with new concepts introduced. To correctly recall and apply these, children need a suitable medium of study. Educational worksheets from SplashLearn are the best option to go for!

  • Worksheets like Equal Parts or Not are great for brushing up on introductory fraction concepts. With the help of the given diagrams, kids must determine whether the parts are equal fractions.  
  • In Represent the Shaded Part , the young ones learn concepts of 2D shapes and their shaded regions. Kids are required to represent those parts as a fraction.  
  • Practice sheets like Select True or False instruct children to verify statements related to fractions. These come in handy when anyone needs a quick revision of the entire topic.

All fraction worksheets for 3rd graders are curated, keeping in mind the problem-solving ability and conceptual understanding of kids in 3rd grade. They can use these questions as a tool to assess how far they have come in their learning journey!

Have Fun with Fractions

One of the most tricky mathematics concepts for children to understand is fractions. The traditional methods of teaching fractions may seem confusing to young minds. Instead, parents and teachers should gradually introduce the concept of numerator and denominator, proper and improper fractions, and mixed fractions to kids.

A fraction represents a part of the whole. This quality of a fraction can be beneficial for interactive teaching of the concept. As a concept of parts of an object or entity, parents and teachers can teach fractions with the help of real-life examples. The most commonly used example of teaching fractions is an example of a pie cut into parts. The kids can understand how they can express slices of a pie in the form of fractions.

Learn Fractions with Worksheets

A practical mathematical concept is best taught through interactive and exciting learning techniques. And a great way to practice fractions is through SplashLearn’s printable worksheets. Fraction is an essential topic for children in third grade. Explicit teaching and effective practice is the key to master fractions. So, use fraction worksheets for 3rd graders to help your kid practice recognizing, calculating, and comparing fractions.

Downloadable fraction worksheets include a set of questions and activities related to fractions. These questions often use exciting graphics and pictures that engage students and make it fun to practice fractions. For example, a geometric shape like a triangle or a circle is divided into equal parts, and the question asks kids to represent the shaded region in the figure through fractions. Another typical example of fractions is a pizza slice. The worksheet may have a question showing the picture of a pizza cut into slices, and the kid would determine the fractional representation.

Give your kids the best learning experience with the help of educational and interactive worksheets from SplashLearn.

You can also help your little kid learn about adding and subtracting fractions & multiplying and dividing fractions .

Partition into Equal Parts Game

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Fractions Problems

Third grade fractions problems.

problem solving fraction grade 3

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The number ABOVE the line tells HOW MANY PARTS we have (the colored parts).

1. Color the parts to illustrate the fraction.

2. Write the fractions, and read them aloud.

3. Write the fractions, and read them aloud.

4. Draw the pie models and color the parts to illustrate the fractions.

5. Color in the whole shape = 1 whole. Then write 1 whole as a fraction.

6. Divide the shapes into equal parts, and color some of the parts, to show the fractions.

7. Divide the shapes into equal parts. Shade ONE part. Write the area of that part as a fraction     of the whole area.

b. Divide the shape into three equal parts.

c . Divide the shape into six equal parts.

d. Divide the shape into four equal parts.

e. Divide the shape into three equal parts.

f. Divide the shape into five equal parts.

g. Divide the shape into four equal parts.

h. Divide the shape into four equal parts.

Math Mammoth Introduction to Fractions

problem solving fraction grade 3

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Grade 3 - Number and Operations - Fractions

Standard 3.NF.A.1 - Identify the fraction of an object in a word problem.

Included Skills:

Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction a/b as the quantity formed by a parts of size 1/b.

If you notice any problems, please let us know .

Curriculum  /  Math  /  3rd Grade  /  Unit 6: Fractions  /  Lesson 3

Lesson 3 of 24

Criteria for Success

Tips for teachers, anchor tasks.

Problem Set

Target Task

Additional practice.

Partition a whole into equal parts using area models and tape diagrams, identifying and writing non-unit fractions in fraction notation.

Common Core Standards

Core standards.

The core standards covered in this lesson

Number and Operations—Fractions

3.NF.A.1 — Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction a/b as the quantity formed by a parts of size 1/b.

Foundational Standards

The foundational standards covered in this lesson

2.G.A.3 — Partition circles and rectangles into two, three, or four equal shares, describe the shares using the words halves, thirds, half of, a third of, etc., and describe the whole as two halves, three thirds, four fourths. Recognize that equal shares of identical wholes need not have the same shape.

The essential concepts students need to demonstrate or understand to achieve the lesson objective

  • Understand non-unit fractions are built from unit fractions.
  • Understand the  denominator of a fraction to be the fractional unit and the numerator of a fraction to be the number of units.
  • Identify a non-unit fraction of a whole and write it using fraction notation.
  • Partition and shade a pictorial area or length model to represent a non-unit fraction (MP.5).
  • Explain whether or not a pictorial area or length model represents a particular non-unit fraction (MP.3).
  • Determine the non-unit fraction represented by an abstract description of a situation (MP.2).

Suggestions for teachers to help them teach this lesson

  • This is a dense lesson so you may decide to split it over two days. It covers a variety of non-unit fractions, including those equivalent to and greater than 1. As the Progressions state, “there is no need to introduce ‘proper fractions’ and ‘improper fractions’ initially;  $$\frac{5}{3}$$ is what you get by combining 5 parts when a whole is partitioned into 3 equal parts”, so addressing them in the same lesson helps students see that all fractions are built from unit fractions. However, if you’d like to split this lesson over two days, you could use Anchor Tasks 1 and 2 on the first day, and save Anchor Task 3 which involves fractions greater than 1 for the second day. The Problem Set and Extra Practice Problems can be split similarly, since all problems involving fractions greater than 1 are at the end of each resource. 
  • While there is no need to introduce “proper fractions” and “improper fractions” as mentioned above, it of course might come up in discussion. If it does, it’s a good idea to avoid using the term “improper fraction”, since it implies that there’s something wrong with this way of writing a number, when in fact sometimes it’s the preferred way to write it. Instead, use the term “fraction greater than one” with students, which after this task, makes sense to them.

Unlock features to optimize your prep time, plan engaging lessons, and monitor student progress.

Tasks designed to teach criteria for success of the lesson, and guidance to help draw out student understanding

Each shape below represents one whole. What fraction of each whole is shaded?

problem solving fraction grade 3

Guiding Questions

Make a model in which the shaded part represents the corresponding fraction.

a.    

b.    

c.    

a.   Each shape below represents 1 whole. What fraction is represented by the shaded parts? Be prepared to explain your reasoning.

problem solving fraction grade 3

b.   Draw a model to represent the fraction  $$\frac{5}{2}$$ .

Unlock the answer keys for this lesson's problem set and extra practice problems to save time and support student learning.

Discussion of Problem Set

  • How would you change each of the incorrect statements in #2 to make them true statements?
  • What were the two reasons why Gregory was incorrect in #5? How would you change Gregory’s claim and/or the model to make him correct?
  • How did you determine how Nadia needed to finish the math problem in #7? How was this problem different from some of the others on the Problem Set?
  • How did you determine the correct answer in #8 without an image?
  • Did students eat  $$\frac{10}{8}$$  or  $$\frac{10}{16}$$  of a pan in #12? How do you know? What does  $$\frac{10}{16}$$  represent?

How many pizzas should Jeremy order in #13? How do you know? How can you tell just by looking at the numbers involved that it will be more than one pizza?

A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved

Which figure is  $$\frac{2}{3}$$ shaded?

Draw a visual fraction model that represents each fraction below. Be sure to indicate what represents 1 whole.

a.    $$\frac{6}{6}$$

b.    $$\frac{5}{4}$$

Student Response

The Extra Practice Problems can be used as additional practice for homework, during an intervention block, etc. Daily Word Problems and Fluency Activities are aligned to the content of the unit but not necessarily to the lesson objective, therefore feel free to use them anytime during your school day.

Extra Practice Problems

Answer keys for Problem Sets and Extra Practice Problems are available with a Fishtank Plus subscription.

Word Problems and Fluency Activities

Help students strengthen their application and fluency skills with daily word problem practice and content-aligned fluency activities.

Topic A: Understanding Unit Fractions and Building Non-Unit Fractions

Partition a whole into equal parts using area models, identifying fractional units.

3.G.A.2 3.NF.A.1

Partition a whole into equal parts using tape diagrams (i.e., fraction strips), identifying and writing unit fractions in fraction notation.

Identify fractions of a whole that is not partitioned into equal parts.

Draw the whole when given the unit fraction.

Identify a shaded fractional part in different ways, depending on the designation of the whole.

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Topic B: Fractions on a Number Line

Partition a number line from 0 to 1 into fractional units.

Place any fraction on a number line with endpoints 0 and 1.

Place any fraction on a number line with endpoints 0 and another whole number greater than 1.

Place any fraction on a number line with endpoints greater than 0.

3.NF.A.2 3.NF.A.3.C

Place various fractions on a number line where the given interval is not a whole.

3.NF.A.2 3.NF.A.3.D

Topic C: Equivalent Fractions

Understand two fractions as equivalent if they are the same point on a number line referring to the same whole. Use this understanding to generate simple equivalent fractions.

3.NF.A.3.A 3.NF.A.3.B

Understand two fractions as equivalent if they are the same sized pieces of the same sized wholes, though not necessarily the same shape. Use this understanding to generate simple equivalent fractions.

Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers.

Explain equivalence by manipulating units and reasoning about their size.

3.NF.A.3.A 3.NF.A.3.B 3.NF.A.3.C

Topic D: Comparing Fractions

Compare unit fractions (a unique case of fractions with the same numerators) by reasoning about the size of their units. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with the symbols >, =, or <.

Compare fractions with the same numerators by reasoning about the size of their units. Record the results of comparisons with the symbols >, =, or <.

Compare fractions with the same denominators by reasoning about their number of units. Record the results of comparisons with the symbols >, =, or <.

Compare and order fractions using various methods.

Understand fractions as numbers.

Topic E: Line Plots

Measure lengths to the nearest half inch.

Measure lengths to the nearest quarter inch. 

Generate measurement data and represent it in a line plot.

Create line plots (dot plots). 

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problem solving fraction grade 3

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Identifying fractions as part of a whole. Identifying the numerator and denominator of a fraction

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Fractions

IMAGES

  1. grade 3 fraction problem solving

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  2. Fractions: reasoning

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  4. Fun And Engaging Math Fraction Problem Solving Worksheet 2 For Your

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VIDEO

  1. Identifying unit fractions word problem

  2. 3rd Grade STAAR Practice Solving Fraction Problems (3.3E

  3. 3rd Grade Math 9.1, Word Problems, Compare Fractions

  4. Adding Fractions Word Problems

  5. INTRODUCTION TO FRACTIONS. Grade 3

  6. Class 3 Maths Fractions (Complete Chapter) with free worksheet

COMMENTS

  1. 3rd Grade Fraction Word Problems

    These printable worksheets have grade 3 word problems related to identifying and/or comparing fractions. They also provide practice in simplifying fractions. Both fractions and mixed numbers are used. Worksheet #1 Worksheet #2 Worksheet #3 Worksheet #4. Worksheet #5 Worksheet #6.

  2. 3rd Grade Fractions Worksheets & Free Printables

    Each of these concepts (and more) are covered in our third grade fraction worksheets. And with colorful images and games like Measuring Cup Madness and Restaurant Math, these third grade fraction worksheets keep students entertained as they learn. Third grade fractions worksheets get your kid to strengthen his math skills.

  3. Understand fractions

    3rd grade 14 units · 141 skills. Unit 1 Intro to multiplication. Unit 2 1-digit multiplication. Unit 3 Addition, subtraction, and estimation. Unit 4 Intro to division. Unit 5 Understand fractions. Unit 6 Equivalent fractions and comparing fractions. Unit 7 More with multiplication and division. Unit 8 Arithmetic patterns and problem solving.

  4. Free Printable Fraction Word Problems Worksheets for 3rd Grade

    Explore printable Fraction Word Problems worksheets for 3rd Grade. Fraction Word Problems worksheets for Grade 3 are an excellent resource for teachers looking to help their students master the essential math skills required at this level. These worksheets provide a variety of engaging and challenging problems that require students to apply ...

  5. 3rd Grade Fraction Word Problems Worksheets

    A: Worksheets focusing on fraction models help students visualize and understand fractions better through drawings or diagrams. This set of questions and answers is designed to help 3rd-grade teachers prepare materials for teaching fraction word problems. The questions cover various aspects of fractions, including types of fractions, equivalent ...

  6. Fractions

    Fractions as Part of a Whole. A fraction can be used to name a part of a whole. For example, the following circle is divided into four equal parts: blue, green, yellow and red. Each part, or color, of the circle represents 1/4 (one-fourth) of the whole circle. 4/4 or 1 represents the whole circle. You use numerators and denominators to name ...

  7. 3rd grade

    3rd grade 14 units · 141 skills. Unit 1 Intro to multiplication. Unit 2 1-digit multiplication. Unit 3 Addition, subtraction, and estimation. Unit 4 Intro to division. Unit 5 Understand fractions. Unit 6 Equivalent fractions and comparing fractions. Unit 7 More with multiplication and division. Unit 8 Arithmetic patterns and problem solving.

  8. 3rd Grade Math Problems

    The 3rd 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 systematically.

  9. 3rd Grade Fractions Worksheets

    Grade 3 Fractions Worksheets - Generate printable worksheets for free of cost. Practice 3rd Grade Fractions Worksheets with dynamic and interactive math questions. Grade. KG. 1st. 2nd. 3rd. 4th. 5th. 6th. 7th. 8th. Algebra 1. Algebra 2. Geometry. Pre-Calculus. Calculus. ... These 3rd grade math worksheets also help students solve problems step ...

  10. Fractions Worksheets for 3rd Graders Online

    And a great way to practice fractions is through SplashLearn's printable worksheets. Fraction is an essential topic for children in third grade. Explicit teaching and effective practice is the key to master fractions. So, use fraction worksheets for 3rd graders to help your kid practice recognizing, calculating, and comparing fractions.

  11. Fractions Problems Third Grade

    Here you will find a range of fraction problems to help your child understand what fractions are and practice their fraction learning. The worksheets cover a range of fraction operations, from adding and subtracting fractions to working out fractions of numbers and ratio problems. Riddles are additional problems that get children to know the ...

  12. Understanding fractions

    A self-teaching worktext for 2nd-4th grade that covers fractions and mixed numbers, adding and subtracting like fractions, adding and subtracting mixed numbers, equivalent fractions, comparing fractions, and finding a fractional part using division. Download ($5.30). Also available as a printed copy. => Learn more and see the free samples!

  13. Fraction

    Grade 3 - Number and Operations - Fractions. Standard 3.NF.A.1 - Identify the fraction of an object in a word problem. Included Skills: Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction a/b as the quantity formed by a parts of size 1/b.

  14. Understand fractions

    Unit 1 Intro to multiplication. Unit 2 1-digit multiplication. Unit 3 Place value. Unit 4 Addition, subtraction, and estimation. Unit 5 Intro to division. Unit 6 Understand fractions. Unit 7 Equivalent fractions and comparing fractions. Unit 8 More with multiplication and division. Unit 9 Arithmetic and problem solving.

  15. Lesson 3

    This is a dense lesson so you may decide to split it over two days. It covers a variety of non-unit fractions, including those equivalent to and greater than 1. As the Progressions state, "there is no need to introduce 'proper fractions' and 'improper fractions' initially; 5 3 is what you get by combining 5 parts when a whole is ...

  16. Equivalent Fractions 3rd Grade Resources, Worksheets and ...

    Equivalent Fraction Games for 3rd Grade: Legos are a great hands-on tool and visual aide for exploring equivalent fractions. For example, like Fraction Strips, 3rd grade students can use Legos to visualize why 4/8 and 2/4 are equivalent fractions and why they both can be simplified down to 1/2. This simple yet powerful hands-on activity will ...

  17. 3rd Grade Math Word Problems: Free Worksheets with Answers

    The following collection of free 3rd grade maths word problems worksheets cover topics including addition, subtraction, multiplication, division, and measurement. These free 3rd grade math word problem worksheets can be shared at home or in the classroom and they are great for warm-ups and cool-downs, transitions, extra practice, homework and ...

  18. Fractions online exercise for Grade 3

    Identifying fractions as part of a whole. Identifying the numerator and denominator of a fraction ... Level: Grade 3. Language: English (en) ID: 640904. 18/01/2021. Country code: JM. Country: Jamaica. School ... Fractions are a fundamental aspect of mathematical reasoning and problem-solving, playing a crucial role in various mathematical ...

  19. Problem Solving with Fractions For Grade 3

    Problem Solving with Fractions Grade 3 Pack. 20 Reviews. Kindergarten Math Fractions, Decimals and Percentages. A lovely pack full of fractions for Grade 3 worksheets. This is a lovely set of fractions for Grade 3 activities, ideal for learners to use in class or at home as an enrichment activity. There are six different sheets that are ...

  20. Math Message Boards FAQ & Community Help

    grade 7 problems (V Soros Olympiad 1998-99 Round 3) p1. There are eight different dominoes in the box (fig.), but the boundaries between them are not visible. Draw the boundaries.