Tuesday
Tuesday: Stretch and shrink
Rosie the Rabbit stacks 8 flat stones into a little tower.
"I want a tower 1 1/2 times as tall," she says, bouncing on her toes.
Bennie the Bear rubs his chin. "Then it will be taller than 8 stones."
"How do you know without counting?" asks Rosie.
"1 1/2 is greater than 1," says Bennie. "So the product grows."
Rosie builds a new tower: one full tower of 8 stones, then half of another 8.
"Eight and four make twelve!" she cheers.
Bennie nods. "And if we multiply by a fraction equal to 1, nothing changes at all."
Learn it: times a mixed number
1 1/2 × 8 means 1 group of 8 and half of another 8.
1 × 8 = 8 and 1/2 × 8 = 4.
Add the parts: 8 + 4 = 12.
So 1 1/2 × 8 = 12, and 12 is more than 8.
- Read the question.
- Tap your answer.
Learn it: times a fraction equal to 1
4/4 is equal to 1 whole.
So 2/3 × 4/4 has the same value as 2/3.
2/3 × 4/4 = 8/12, so 8/12 is the same amount as 2/3.
This is why equivalent fractions work.
- Read the question.
- Tap your answer.
- Read the question.
- Tap your answer.
| Sentence | True or false? |
|---|---|
| 1 1/2 × 8 = 12 | ? |
| 7/6 × 30 < 30 | ? |
| 3/4 × 4/4 = 3/4 | ? |
| 9/10 × 50 > 50 | ? |
Now build a tower 1 1/2 times as tall.
Count the blocks in the new tower.
Build one more tower 1/2 as tall as the first. Which towers grew?
You stretched and shrank numbers! Tomorrow we share with unit fractions.