Start with equal groups
Use the lesson’s 12 counters: draw 3 equal outlines, put one counter in each in turn until all 12 are used. Each group has 4. Now draw groups of 4 until all 12 are used: there are 3 groups. Name which role was unknown each time.
Make a comparison with copies
Return to the 4 cm and 12 cm strips. Draw three 4 cm copies to make 12 cm. Mark one original 4 cm copy and the 8 cm extra length. Count copies for “times as long”; measure the difference for “longer by”.
Try another example: 15 counters go into 3 equal groups. Find the group size and label the roles. A 3 cm strip and a 15 cm strip are compared: find both comparisons and explain.