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Number Trail Grade 4 / Week 07 / Monday
1/6
Week 07 · Equal and compare fractions

Monday

Same amount, more parts
// Same amount, different parts
⏱ about 15 min

Monday: Same amount, more parts

Riley the Raccoon holds up his lantern over three long paper strips.

"Here is a puzzle," he says with a sly grin behind his mask.

"I folded one strip in half, one in fourths and one in eighths."

"Then I colored the same amount on each one."

Bennie the Bear looks closely at the strips.

"The first has 1 part shaded. The second has 2, and the third has 4."

"But the shaded parts are all the same length," Bennie notices.

Riley wiggles his striped tail. "So are they the same fraction?"

Learn it: equivalent fractions

Three bars the same length, showing one half, two fourths and four eighths shaded

Each bar has the same amount shaded.

So 1/2 = 2/4 = 4/8. These are equivalent fractions.

The parts get smaller, but there are more of them.

Twice as many parts, each half as big, cover the same amount.

Three bars the same length, showing two thirds, four sixths and eight twelfths shaded

This picture shows 2/3 = 4/6 = 8/12.

NAME THE SHADED PART
  • Read the question.
  • Tap your answer.
A bar cut into four equal parts, three shadedWhat fraction of the bar is shaded?
A bar cut into eight equal parts, six shadedWhat fraction of the bar is shaded?
A bar cut into six equal parts, four shadedWhat fraction of the bar is shaded?
A bar cut into twelve equal parts, eight shadedWhat fraction of the bar is shaded?
SAME AMOUNT?
  • Read the question.
  • Tap your answer.
A bar cut into two equal parts, one shaded; a bar cut into four equal parts, two shaded; a bar cut into eight equal parts, four shadedWhich fraction is equal to 1/2?
A bar cut into three equal parts, two shaded; a bar cut into six equal parts, four shaded; a bar cut into twelve equal parts, eight shadedWhich fraction is equal to 2/3?
A bar cut into four equal parts, one shaded; a bar cut into eight equal parts, two shadedWhich fraction is equal to 1/4?
A bar cut into three equal parts, one shaded; a bar cut into six equal parts, two shadedWhich fraction is equal to 1/3?

Learn it: the same point on a number line

A number line from 0 to 1 in fourths, with a dot at 2/4
A number line from 0 to 1 in eighths, with a dot at 4/8

The dot for 2/4 and the dot for 4/8 sit at the same spot. Both are one half.

FIND THE EQUAL FRACTION
  • Read the question.
  • Tap your answer.
1/2 = ?/4
1/2 = ?/8
2/3 = ?/6
3/4 = ?/8
ORDER THE FRACTIONS
  • Look at the eighths on the number line.
  • Put them from least to greatest.
11st
22nd
33rd
44th
SentenceTrue or false?
1/2 = 2/4?
2/3 = 4/6?
1/3 = 2/3?
2/5 = 4/10?
WHY THIS EXERCISE1/3 is not 2/3. Two thirds is twice as much as one third.
Try it
Cut three paper strips the same length.
Fold one in half, one in fourths and one in eighths.
Color one half of each strip.
Count the colored parts on each strip. What do you notice?
Draw two bars the same length that show 1/3 = 2/6.

Puzzle solved! Tomorrow we find equivalent fractions by multiplying.