FractionConcepts1: Lesson: Using area model and number line to represent one whole: Using area model and number line to represent one whole

Using area model and number line to represent one whole

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Similar to previous lessons, in this lesson students will continue be representing one whole with either the area model or the number line. The difference, however, is that the initial fraction given will some fraction other than a unit fraction. Students will still be expected to use the three-part definition of a fraction in order to represent one whole.

Example 1: If the given area model represents $\frac{3}{5}$ , then draw a model to represent one whole.

What is one whole?

Since we see that three squares represents $\frac{3}{5}$ , then each square must represent $\frac{1}{5}$ . There are 5 fifths in one whole, so one whole can be represented by

Example 2: If the given area model represents $\frac{2}{6}$ , then draw a model to represent one whole.

What is one whole?

This one is different because we see the fraction is $\frac{2}{6}$ , but there is only one rectangle. This means we need to cut the rectangle into two equal parts to represent the numerator, 2. Then each of the two smaller rectangles must represent $\frac{1}{6}$ . There are 6 sixths in one whole, so one whole can be represented by

Example 3: Given where $\frac{3}{5}$ is on the number line, then show where one whole is located.

What is one whole?

Since we see that three segments represents $\frac{3}{5}$ , then each segment must represent $\frac{1}{5}$ . There are 5 fifths in one whole, so one whole can be represented by

Example 4: Given where $\frac{2}{6}$ is on the number line, then show where one whole is located.

What is one whole?

This one is different because we see the fraction is $\frac{2}{6}$ , but there is only one interval. This means we need to cut the interval into two equal parts to represent the numerator, 2. Then each of the two smaller intervals must represent $\frac{1}{6}$ . There are 6 sixths in one whole, so one whole can be represented by

Press [Next] to begin the 3 practice problems.