Week 08 · Same size, different names
Thursday
The two gardens
// Equivalent fractions and comparing
⏱ about 15 min
Thursday: The two gardens
Chris the Coyote smooths the feather in his hat.
"Donnie and Lizzy each planted a garden of the same size," he says.
"Donnie planted carrots in 2/4 of his garden."
"Lizzy planted carrots in 4/8 of hers."
"They wondered who had planted more carrots."
"Then Donnie lay one garden plan on top of the other."
"The carrot parts matched exactly. Both had the same!"
Story: Same amount, different names
2/4 and 4/8 cover the same part of the same-size garden.
So 2/4 = 4/8. They are both equal to 1/2.
QUESTIONS ABOUT THE STORY
- Read the question.
- Tap your answer.
What fraction of his garden did Donnie plant with carrots?2/4 = ?/8
Who planted more carrots?
More garden puzzles
SOLVE THE PUZZLE
- Read the question.
- Tap your answer.
Which is greater, 3/6 or 5/6?Donnie waters 1/3 of a bed. Lizzy waters 1/4 of a same-size bed. Who waters more?
2/8 ? 6/8
3/6 = ?/2
WHOLE GARDENS
- Read the question.
- Tap your answer.
6/6 = ?
2 = ?/1
8/4 = ?Think of the same-size garden for each one.
| Sentence | True or false? |
|---|---|
| 2/4 = 4/8 | ? |
| 1/3 > 1/4 | ? |
| 5/6 < 3/6 | ? |
| We can compare halves of two different-size gardens by just counting parts. | ? |
WHY THIS EXERCISE5/6 is more than 3/6, and the wholes must be the same size.
Try it
Fold two same-size pieces of paper into gardens.
Fold one into 4 rows and one into 8 rows.
Color 2/4 of the first and 4/8 of the second.
Lay one on top of the other. Do they match?
Fold one into 4 rows and one into 8 rows.
Color 2/4 of the first and 4/8 of the second.
Lay one on top of the other. Do they match?
Draw Donnie's and Lizzy's gardens. Shade the carrot parts.
A gentle story! Tomorrow Freddy hosts a fraction review game.