Week 08 · Same size, different names
Tuesday
Same point, and whole numbers
// Equivalent fractions and comparing
⏱ about 15 min
Tuesday: Same point, and whole numbers
Donnie draws two number lines in the soft sand.
He marks the top line in fourths and the bottom line in eighths.
"See how 2/4 and 4/8 sit on the very same spot," he says.
Bennie points at the end of the top line.
"And 4/4 sits right on 1," says Bennie.
"Four fourths make one whole."
Donnie nods slowly. "A whole number can wear a fraction name too."
Learn it: the same point on the line
On both lines, 2/4 and 4/8 are at the same point.
Equivalent fractions are at the same point on the number line.
4/4 and 8/8 are both at 1.
Whole numbers as fractions
3 wholes, each cut into 1 part, is 3/1. So 3 = 3/1.
6/1 means 6 wholes, so 6/1 = 6.
When the top and bottom match, like 6/6, it is 1 whole.
Four jumps of 1/2 land on 2. So 4/2 = 2.
SAME POINT
- Read the question.
- Tap your answer.
2/4 = ?/81/2 = ?/6
3/4 = ?/8
2/3 = ?/6
WHOLE NUMBERS AS FRACTIONS
- Read the question.
- Tap your answer.
3 = ?/1
6/1 = ?
8/8 = ?
1 = ?/6
4/2 = ?WHICH FRACTION IS AT 1?
- Read the question.
- Tap your answer.
Which fraction is at the same point as 1?
Which fraction is at the same point as 1?Which fraction equals 5?
Matching top and bottom make 1 whole.
| Sentence | True or false? |
|---|---|
| 4/4 = 1 | ? |
| 3 = 3/1 | ? |
| 6/6 = 6 | ? |
| 2/4 = 4/8 | ? |
WHY THIS EXERCISE6/6 is 1 whole, not 6.
Try it
Lay two strings of the same length on the floor.
Fold one into fourths and one into eighths.
Put a spoon on 2/4 and another on 4/8.
Are the spoons at the same spot?
Fold one into fourths and one into eighths.
Put a spoon on 2/4 and another on 4/8.
Are the spoons at the same spot?
Draw a number line from 0 to 2 in halves. Circle 4/2.
Well done! Tomorrow we compare fractions.