Fraction Classroom · 2.1.0 · Student pages

A 12-minute number-line rescue

Count equal intervals instead of tick marks. Ask three short questions, model one example, practise three times, then check a new situation.

Anonymous group code: __________   Date: __________

0–3 minutes · Quick diagnosis

Try all three. Explain with words, a sketch, or objects.

d1. A number line from 0 to 1 has marks at 0, 1/4, 2/4, 3/4, and 1. How many equal intervals does it have?

d2. Starting at 0 on a line divided into sixths, a student counts the zero mark as “one” and labels the next mark 2/6. Repair the label.

d3. A line from 0 to 1 has three gaps of different lengths. Can its marks be labeled 0, 1/3, 2/3, 1 in order? Explain.

3–6 minutes · One worked example

Trace each equal gap as you count.

w1. Draw a line from 0 to 1 and locate 3/4.

  1. Mark and label 0 and 1 first.
  2. Partition their distance into four equal intervals; this needs five marks including both ends.
  3. Count three intervals from 0.
  4. Label the endpoint of the third interval 3/4.

Worked example: 3/4 is the endpoint after three fourth-length steps from zero.

6–10 minutes · Three practice tasks

Draw or explain your thinking.

p1. Draw a unit line with 3 equal intervals. How many marks are needed when both 0 and 1 are included?

p2. On a unit line split into eighths, what fraction is reached after five equal steps from 0?

p3. A line has labels 0, A, B, C, 1, all equally spaced. Name B.

10–12 minutes · Independent transfer

Try this new situation without help.

t1. A 12 cm line represents 0 to 1. Mark 5/6 and explain the difference between the number of marks and the number of intervals.