To reach 60, how many times did the frog jump? How many times did the rabbit jump to reach the same number?
Given: Frog jumps 3 steps at a time. Rabbit jumps 6 steps at a time. Target: 60 steps.
For the Frog: 60 ÷ 3 = 20 jumps
For the Rabbit: 60 ÷ 6 = 10 jumps
Answer: The frog jumped 20 times. The rabbit jumped 10 times.
Observation: 60 is a common multiple of both 3 and 6. Since 6 = , the frog needs twice as many jumps as the rabbit.
Explanation
The frog jumps 3 steps at a time, so to reach 60: 60 ÷ 3 = 20 jumps. The rabbit jumps 6 steps at a time, so to reach 60: 60 ÷ 6 = 10 jumps. The chapter helps children observe that since the rabbit's jump size (6) is twice the frog's jump size (3), the rabbit needs half as many jumps to reach the same destination when that destination is a common multiple.
Solution Steps
Step 1: For frog (jumps 3 steps): 60 ÷ 3 = 20 jumps
Step 2: For rabbit (jumps 6 steps): 60 ÷ 6 = 10 jumps
Step 3: Notice that 6 =
Step 4: The frog needs twice as many jumps because its jump is half the size