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Math / Grade 3

Name equal fraction parts

Learning goal: Keep the whole fixed, check equal-sized parts and explain what the numerator and denominator count.

Before you start: Count up to ten and compare the sizes of parts in a strip. X marks identify selected parts without needing color.

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Count Equal Fraction Parts - Practice 1

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Video transcript and practice. Reading or printing does not count as playback time or an assessed grade.

1. Start with one whole

Video: 0:00

Video illustration: Start with one whole. The spoken explanation follows.
Start with one whole: video illustration

Here is one paper strip. We will call the entire strip one whole. We can describe part of it with a fraction. First we must agree on the whole. Our strip will not grow while we count. It has not ordered a bigger paper jacket. Point to the two ends of the whole strip.

2. Equal parts matter

Video: 0:22

Video illustration: Equal parts matter. The spoken explanation follows.
Equal parts matter: video illustration

Look at these matching strips. The top strip has four equal parts. Each part is one fourth of that whole. The bottom strip also has four pieces, but one piece is much bigger. We cannot call those four unequal pieces fourths. Count the pieces, but also check their sizes. A fraction model needs equal parts.

3. Count all the equal parts

Video: 0:47

Video illustration: Count all the equal parts. The spoken explanation follows.
Count all the equal parts: video illustration

This whole strip is split into five equal parts. Count all five, including the parts that are not marked. The bottom number of our fraction is five. That bottom number is called the denominator. Each equal part is one fifth. We are counting the pieces in the whole strip, not just the pieces we choose.

4. Count the selected parts

Video: 1:11

Video illustration: Count the selected parts. The spoken explanation follows.
Count the selected parts: video illustration

Three of the five equal parts have an X. The top number is three because three parts are selected. That top number is called the numerator. Three over five means three fifths. The two unmarked parts still belong to the whole. Do not leave them out when finding the bottom number. The whole has five parts, not three.

5. Pause: name the marked part

Video: 1:36

Video illustration: Pause: name the marked part. The spoken explanation follows.
Pause: name the marked part: video illustration

Now try a fresh strip. It has six equal parts. Two have an X. Pause the video. What fraction is selected? Say the bottom number and what it counts. Then say the top number and what it counts. You can point, explain aloud, or write your fraction. Do not use the five from our earlier strip.

6. Check both numbers

Video: 2:03

Video illustration: Check both numbers. The spoken explanation follows.
Check both numbers: video illustration

The selected fraction is two sixths. Six counts all equal parts, and two counts the selected parts. If every part were selected, we would have six sixths. That is one whole strip. A denominator of six does not mean six strips. It tells us how this one whole has been split into equal parts.

7. More parts, smaller pieces

Video: 2:27

Video illustration: More parts, smaller pieces. The spoken explanation follows.
More parts, smaller pieces: video illustration

Fun fact: when the whole stays the same size, splitting it into more equal parts makes each single part smaller. One fourth of this strip is smaller than one half of the matching strip. A bigger bottom number does not automatically mean a bigger piece. Always check that the wholes match before comparing the pictures.

8. Continue to the worksheet

Video: 2:50

Video illustration: Continue to the worksheet. The spoken explanation follows.
Continue to the worksheet: video illustration

Continue to the worksheet below. For each strip, count all equal parts for the denominator and selected parts for the numerator. Use the numbers in that question. Practice Two gives you another set. You can work on screen, explain aloud, or use a printed page. The important part is explaining what each number counts.

Show your understanding

You can point, explain aloud, draw or write.

  • Check that a whole has equal-sized parts before naming a fraction.
  • Explain the numerator as the selected count and the denominator as all equal parts, including unselected ones.

Try it yourself

Pause at six equal parts with two X marks. Name the fraction and explain what each number counts.

Continue to the worksheet and Practice Two. Count unmarked parts too when finding the denominator; explain aloud or on paper.

Next: your worksheet

Count Equal Fraction Parts - Practice 1

https://s3u.com/mf3ay

Build and compare fractions at Fraction Dock

Lesson: https://s3u.com/lessons/name-equal-parts