Making fractions from real life examples

Making fractions from real life examples

I can make fractions from real life examples.

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Making fractions from real life examples
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General

Students can determine which fraction matches a given real life situation.

Common core standard(s)

CCSS.Math.Content.5.NF.B

Relevance

It is useful to learn how to make fractions so you can quickly determine which portion you have of a total and determine which fraction represents that.

Introduction

Students determine which fraction is shown by the image given.

Development

Briefly remind students that a fraction is made of a numerator and a denominator. Explain how you can simplify a fraction by dividing the numerator and denominator by the same number. Demonstrate this with 3//6. You divide both 3 and 6 by 3 and then the simplified fraction becomes 1//3. Use the images to show students that the quantities are the same. Show the problem with the ladybugs. There are 3 leaves with ladybugs on them. You make the fraction by setting the portion as the numerator and the total as the denominator. The fraction is 3//9. Look to see which number both parts of the fraction are divisible by to simplify as far as possible. Both are divisible by 3 and your simplified fraction becomes 1//3. Use the next two problems to check that students are able to determine fractions from the given examples. Show the problem 7 of the 14. Make the fraction by setting the portion as the numerator and the total as the denominator. Next simplify 7//14 to 1//2 by dividing by 7. Students then practice with the next two problems. You can solve the problem in steps by first making the fraction and checking it, and then to simplify the fraction. Emphasize with the fraction story problems that you first must determine which numbers are important for the fraction word problem and then that you must say or write the problem, before solving the problem. Then have students do the following fraction story problems.

Check that students can make fractions from real life examples by asking the following questions:
- How do you compose a fraction?
- How do you simplify a fraction?

Guided practice

Students practice with multiple choice questions to determine which fraction matches the image given, then they must compose the fractions, and finally also simplify the fractions. They must also solve fraction word problems.

Closing

Discuss with students that it is important to be able to determine fractions from real life examples. To close ask the students to solve a mix of problems in different contexts.

Teaching tips

Students who have difficulty making fractions from real life situations can practice making fractions from a visual fraction bar or circle. Make sure that students understand that they are naming the fraction by saying the portion of the total.

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