Unit Fractions Teacher Resources
Find Unit Fractions educational ideas and activities
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Gecko Mathematics: Multiplying Unit Fractions
Make learning visible! Have your mathematicians follow along as you use paper strips to demonstrate the concept of multiplying unit fractions. Then, offer a different way of solving the problem using a number line. Finally, introduce the standard algorithm. The class then finds an expression to describe a situation where multiplying unit fractions is relevant, and they complete related word problems.
Making banana pudding despite misplacing your one-cup measuring cup is easy as long as you can find your quarter-cup measuring cup! This real-life activity provides a good opportunity for learners to interpret division of a whole number by a unit fraction. In addition, participants are asked to illustrate their solution and to write an equation that represents the situation. It is a great way for your class to apply mathematics to solve an everyday problem.
New! Convert Unit Fractions into Repeating Decimals
Unit fractions are commonly used and your learners will be able to convert into a repeating decimal after this video. Have them review different topics they may have previously covered such as rational numbers, terminating decimals, and unit fractions. Show your learners the step-by-step on long division and when to notice they have a repeating decimal. They will practice with two examples and see other types of repeating decimal answers. Video is third in a five-part series about converting different types of fractions to decimals.
Initial Fraction Ideas Lesson 4: Overview
First-time fraction fiends make paper-folding models for unit and non-unit fractions. They follow teacher-led directions to make models that show 2, 3, 4, 6, 8, and 12 equal parts. An array of fraction review worksheets are included to support the hands-on instructional activity.
You don't have to be an ancient Egyptian to decipher fractions in this activity that focuses on adding fractions with unlike denominators and developing fraction number sense. Egyptians represented fractions differently than we do. They expressed fractions through expressions using unit fractions in which no two denominators were alike: e.g., 2/3 was written as 1/2 + 1/6. Fifth graders are asked to solve two sets of problems on this worksheet: the first set constructs fractions and the second deconstructs fractions. A formal lesson plan is not included, but the information on the three-page document is complete and ready to use in the classroom.
How Many Servings of Oatmeal?
Here is another way to illustrate division of a whole number by a unit fraction. In this case, the problem is asking if there are so many servings per cup, how many servings are in a package of multiple cups. Learners are to model their solution and see how dividing a whole number by a unit fraction is the same as multiplying that whole number by the reciprocal of the unit fraction. A great exercise involving fractions.
Egyptian Fractions II
The Egyptians used unit fractions to describe all other fractions. Your class will rewrite rational expressions in order to deduce information about rational numbers. The activity starts with specific fractions, guides you through a few steps, then asks you to describe a procedure for writing any rational number as a sum of unit fractions. The historical element of this exercise adds an interesting flavor to the practice of simplifyinga rational expression.
First graders explore non-unit fractions. They discuss the parts of fractions and identify the numerator and the denominator. They discuss various examples of fractions. Students write fractions that are equivalent to the ones written by the teacher. They complete a workbook page dealing with fractions.
Reading and Writing Unit Fractions
Students read and write fractions. In this fraction lesson, students write the fraction to match the shaded area of a shape. They practice writing fractions in symbol and word form.
Unit Fraction Problem
In this algebra worksheet, students rewrite word problems using the unit fraction conversion method. They follow clues to determine the values of each letter and answer the question. There is an answer key.
Jasmine started with a full bag of pretzels, but by the time she got home she had only six left. In a task designed to apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions, the unknown fraction leftover and the initial number of pretzels in the bag can be found using various possible strategies. Two possible solutions are provided although more are possible. The activity is a great lead-in to working with division involving fractions and whole numbers.
Extend your class's ability to represent unit fractions on a number line with this challenging worksheet. Given two number lines, one labeled with zero and 1/4, the other with zero and 5/3, students must accurately locate the number one on each. A great worksheet to use after teaching a lesson on fractions greater than one. Consider presenting this activity without scaffolding and allow learners to collaborate with partners as they work to deepen their understanding of fractions. Follow up with a brief discussion that allows young mathematicians an opportunity to share their solutions with their peers.
This short problem with representing fractions on a number line is more than meets the eye. Labeled only with the numbers zero and 1/4, a number line is used to locate the fraction 2/3. A solution can be found in multiple ways, but young mathematicians must understand the comparative size of the unit fractions 1/4 and 1/3 and how they relate to one whole. A great worksheet for strengthening your class's grasp of fractions. Use this as an opportunity for students to share their learning with others in a follow-up discussion.
Comparing Unit Fractions
In this unit fractions worksheet, 2nd graders utilize fraction strips to determine if 4 unit fractions being compared should be separated by the signs < or >.
Divide by a Unit Fraction
In this dividing by unit fractions practice activity, learners sharpen their problem solving skills as they solve 6 story problems.
Painting a Room
This real-life math problem concentrates on developing the understanding of dividing a unit fraction by a whole number. It allows students to draw out a solution to aid their thinking. The well-written answer sheet describes common pitfalls young mathematicians typically get into when first encountering these types of problems. This problem would make an excellent introductory small-group activity, or a quick check for understanding.
This one problem concentrates on the important concept of dividing a whole number by a unit fraction. Here, young mathematicians use pictures they draw to help answer this problem. Insight into the connection between multiplication and division is also an important topic covered here.
New! Convert Unit Fractions to a Terminating Decimals
Learners assume they have to divide to change a fraction into a decimal. Show them another way. They can convert their fraction into an equivalent fraction by using denominators with the power of 10. If using mental math to change their fractions isn't their strength, the video also shows how to divide to convert into a decimal. The video is second in a five-part series. Use the next video for practice with repeating decimals.
Doubling Numerators and Denominators
Understanding the meaning of fractions is a challenge for many young learners. These two questions examine what happens when the numerator and denominator of a fraction are doubled. Consider allowing students to discuss their ideas in small groups before sharing their explanations with the whole class. A great supplement for a unit on multiplying fractions.
Finding Common Denominators to Add
Finding common denominators is an important strategy when adding fractions with unlike denominators. In the first two questions in this three-question task, fifth graders are asked to combine fractions and draw a picture to show their solution. The third question adds improper fractions, allowing for work with fractions greater than one. The commentary and possible solutions provide the teacher with the information needed to successfully implement the activity in the classroom.