Big Base-Ten Hoppers
Est. Class Sessions: 2–3Summarizing the Lesson
Have the base-ten pieces available as reference for this discussion.
Have students answer the following two questions:
For each question, ask several students to draw their number lines on the board and label the hops. Then ask them to write the name of the base-ten pieces that match above each hop. Finally, each student should write a number sentence to match his or her number line. See Figure 2. Students should write their names by their number lines.
Use prompts similar to the following to facilitate a discussion between the students who drew the number lines and the other students in the class.
- Describe the way that [student's name] hopper moved for the first question. Ask [student name] questions if it is not clear to you.
- Do the base-ten pieces [student name] wrote match his or her moves? Explain.
- Does [student name]'s number sentence match his moves? Why or why not?
- How are [student name]'s moves like [another student name]'s? How are they different?
- Did they use the same base-ten pieces?
- Did they use the same number of base-ten pieces? If not, who used more?
- Which way do you think is more efficient or easier to think about? Why?
- Use [student name]'s way to show how a base-ten hopper can go from 657 to 1000. Match your hops with base-ten pieces.
- Complete the number sentence: 657 +
= 1000. - Describe the way [student name]'s hopper started at 567 and moved forward 208.
- Where did the hopper land?
- Do his or her base-ten pieces match the hops?
- Complete the number sentence: 567 + 208 = .
- How is one number line like another? How are they different?
- Do they use the same base-ten pieces? The same number of pieces?
- Which method do you like better?
- Use the method that you like best to show how a base-ten hopper can start at 537 and move forward 189. Try to use as few hops as possible. Mark which base-ten pieces match your hops. (See Figure 3 for a possible response.)
- Complete the number sentence: 537 + 189 = . (726)
- Write the other three numbers sentences in the same family. (189 + 537 = 726; 726 − 537 = 189; 726 − 189 = 537)
