Idea 7of 24Builds onA fraction is a spot on the number lineSplit the parts: same amount, new name
Equivalent fractions share one spot
Where do equivalent fractions land on the number line?
Today you'll discover
- how lines in thirds, sixths and twelfths line up
- why 2/3 and 4/6 share a spot
- how to read an equivalent straight down
Think firstLines in thirds, sixths and twelfths
Where does 4/6 land compared with 2/3?
Decide first, then press Next. Look straight up and down the lines.
Three number lines from 0 to 1, one above another, cut into thirds, sixths and twelfths, with 2/3, 4/6 and 8/12 to place. Jumps from 0 on each line end at the same place, then the three dots are named, then written as equal. The last step shows 3/4 on a line in fourths above a line in eighths.
See the whole ideathe big idea and the key word, in one place
The big idea
Equivalent fractions land on the same spot on the number line, however it is cut.
Easy to get wrongKeeping the top number does not keep the amount. 3/8 is not 3/4: eighths are half the size of fourths.
On a metre stickOn a metre stick, 1/2 m and 50/100 m are the same mark: two names, one spot.
Key word
- lined-up number lines
- number lines the same length, one above another, each cut into different equal parts
Ready to use it?
- Find equivalent fractions on lined-up number lines.
- Read an equivalent fraction straight down a line.