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Fractions on a number line (age 8+)

Represent fractions on a number line: partition the interval 0 to 1 into b equal parts to locate 1/b, then mark off a lengths of 1/b from 0 to locate a/b

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کارهایی که یادگیرنده بعد از این درس می‌تواند انجام دهد

  • Partition a 0-to-1 number line into 4 equal parts and mark 1/4
  • Explain that each part on the line has size 1/b
  • Locate 1/3 and 1/6 on separate number lines
  • Locate 3/4 on a number line by counting three 1/4-jumps from 0
  • Place 5/6 on a number line and explain the process
  • Identify a fraction shown by a point on a pre-partitioned number line

۱ · بخوان

A number line from 0 to 1 can be split into equal parts, the way a bed splits into equal strips. Split it into 5 equal parts, and each part is 1/5 long. To find 3/5, start at 0 and count 3 jumps of 1/5.

Ticks: 0, 1/4, 2/4, 3/4, 1. Marked values: 0, 1/4, 2/4, 3/4, 1. Hop from 0 to 1/4: 1/4.01/42/43/411/4
This line is split into 4 equal parts. Each part is 1/4, so the mark right after 0 is 1/4.
Try it together

To find 3/4, start at 0 and count three jumps of 1/4: 1/4, then 2/4, then 3/4. You land on 3/4.

Ticks: 0, 1/4, 2/4, 3/4, 1. Marked values: 0, 1/4, 2/4, 3/4, 1. Hop from 0 to 3/4: 3/4.01/42/43/413/4

Each number in a fraction has its own job. The bottom number tells you how many equal parts to split the line into. The top number tells you how many jumps to count from 0. The two jobs cannot be swapped: splitting the line into the top number and then jumping the bottom number lands you somewhere else entirely.

To place a fraction on a number line, split 0 to 1 into as many equal parts as the bottom number says. Then count off as many parts as the top number says, starting at 0.

۲ · ببین

به انگلیسی

۳ · بازی

به انگلیسی
step 1 of 6

You have named parts of the herb bed before: 3 planted strips out of 4 equal strips is 3/4 of the bed. Today 3/4 is a place to stand. The fence rail runs from the gate to the shed, and posts split it into 4 equal gaps. Each post in the picture is numbered by how many gaps it sits from the gate.

The whole walk from the gate to the shed is 1. How long is one gap?

01234

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Fractions on a number line (age 8+) · Mathematics, ages 8 to 9 · LightMySky