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  1. Study the two number lines below. Both show the problem 1.3 + 0.9.
    1. Where do the two decimal hoppers start?
    2. Where do the two decimal hoppers land?
    3. How many hops did the first hopper use? How many hops did the second hopper use?
    4. Write number sentences to show how each hopper moved.
    5. Which set of hops do you think is easier to understand? Why?
    6. Which set of hops do you think is easier to do? Why?
  2. Maya and Michael both worked on this problem: “Show how a decimal hopper can start at 2.5 and move to 0.8.”

    Here is Maya's number line:

    Here is Michael's number line:
    1. Where does each hopper start and land?
    2. Whose number line matches the way decimal hoppers hop?
    3. Whose number line does not match the way decimal hoppers hop? Why not?
    4. Write a number sentence for Maya's hopper.
    5. Show Michael's solution using decimal hopper hops.