What do you notice? What do you wonder?

2 tape diagrams. First diagram. One longer orange section, labeled 1. One smaller blue section. Second diagram. One longer green section and one smaller blue section, all labeled 1.

1. Complete the table to show the total distance walked in each case.

   1. Jada’s pet turtle walked 10 feet and then half that length again.
   2. Jada’s baby brother walked 3 feet and then half that length again.
   3. Jada’s hamster walked 4.5 feet and then half that length again.
   4. Jada’s robot walked 1 foot and then half that length again.
   5. A person walked feet and then half that length again.

   initial distance	total distance
   10
   3
   4.5
   1

2. Explain how you computed the total distances for these cases.

3. Two students each wrote an equation to represent the relationship between the initial distance walked () and the total distance walked ().

   • Mai wrote .
   • Kiran wrote .

   Do you agree with either of them? Explain your reasoning.

Your teacher will give you a set of cards. Take turns with your partner to match a description with an equation and a tape diagram.

1. For each match that you find, explain to your partner how you know it’s a match.
2. For each match that your partner finds, listen carefully to their explanation. If you disagree, discuss your thinking, and work to reach an agreement.

1. Match each situation with a diagram. A diagram may not have a match.

   

   

   

   

   • Han slept for hours. Mai slept less than that.
   • Mai biked miles. Han biked more than that.
   • Han bought pounds of books. Mai bought of that.

2. For each diagram, write an equation that represents the relationship between and .

   • Diagram A:

   • Diagram B:

   • Diagram C:

   • Diagram D:

3. Write a story for one of the diagrams that doesn’t have a match.