Reading a fraction from a circle diagram

Students learn to read fractions from a circle diagram.

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The students learn how they can read a fraction from a circle diagram.

CCSS.Math.Content.3.NF.A.1

Students will be able to read fractions from a circle diagram.

She a few images. The students must determine which fraction matches each image. Have the students write down the answer and hold it up, so that you can check whether or not they are correct. Also ask the students how you say the fraction.

Explain that a fraction consists of a numerator and a denominator. After this you explain through a circle diagram how you can read a fraction. First count how many parts the circle is divided up into. Then count the number of parts that are colored in. If you know these numbers, then you can write the fraction. After this, show a few circle diagrams which are accompanied by a statement. The students must determine whether the statement is true or false. If a statement is false, then show an example of how it would be correct. Next you show the following circle diagrams and the students must state the fraction that matches each diagram.

To check whether the students can read fractions from a circle diagram, you can ask the following questions:

- Which part of the fraction tells how many parts in the circle diagram are colored in: the numerator or the denominator?

- Which part of the fraction tells how many parts the circle diagram is divided up into: the numerator or the denominator?

The students test their understanding of reading a fraction from a circle diagram through ten exercises. In some of the exercises, they must match a fraction and a circle diagram that shows this fraction. In other exercises, the students must answer a question which involves reading a circle diagram.

You discuss once again with the students that it is useful to be able to read fractions from circle diagrams, so that you know what fraction it is. Check whether the students know how you can read a fraction. Next there is a puzzle that the students must solve. Each fraction stands for a letter. Some fractions are written on the left side. The students must determine which letter belongs with which fraction. If they have matched the correct letters with each of the fractions, you can read the following phrase: "you can read fractions".

Students that have difficulty with reading fractions can first practice dividing a circle diagram into equal parts. Next they can color in some of the parts of the circle diagram. The next step is reading the fraction that they have illustrated. Emphasize that the number on top of a fraction gives how many parts are colored in. The bottom number gives how many parts the circle diagram is divided up into.

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