Lesson 5

Base-Ten Hoppers

Est. Class Sessions: 2

Summarizing the Lesson

After students have completed Questions E–H on the Base-Ten Hoppers page, display the Open Number Lines Master and pose three more questions. Remind students that a base-ten hopper can start anywhere on a number line. For the first question, ask students to use their desk number lines to show the hops. Ask volunteers to write the different combinations of hops and number sentences on the display.

  • The base-ten hopper is on 52. He wants to move forward 23. What are different ways the hopper can add 23? (Possible response: two big hops of 10 and 3 little hops of 1)
  • What is a number sentence to show its moves? (52 + 10 + 10 + 1 + 1 + 1 = 75)
  • Who can show another way? (Possible response: The hopper could start at 52 and take 3 hops of one to 55 and then two big hops of 10 to 75.)

Now display and direct students' attention to the 200 Chart in the Student Activity Book Reference section.

  • The base-ten hopper is on 108 and moves forward 22. Show its moves on the class number line. Where does it land? (Start at 108 and take two ten hops forward to 128 and then two hops of one to 130.)
  • What moves can you make on the 200 Chart? (Start at 108 and move to the next row two times to 128 and count on 2 to 130.)
  • Why did you move to the next row? (It is like skip counting by tens.)
  • How are the moves on the number line alike or different from the moves on the 200 Chart? (Possible responses: You skip count by ten on both. You land on 130 on both. It is different because on the number line, you go in a straight line and on the 200 Chart, you go down the rows.)
  • Show how to start at 105 and move forward 19 on the class number line. (Possible response: Start at 105 and take 2 ten hops to 125. Then hop backward 1 to 124.)
  • Now, show how to start at 105 and move forward 19 on the 200 Chart. (Possible response: Start on 105 and move down two rows to 125. Move back one to 124.)
  • Who can show a different way to move on the number line? (Possible response: Start at 105 and take one hop of 10 to 115. Then take 9 hops of one: 116, 117, 118, 119, 120, 121, 122, 123, 124.)

Have students complete Check-In: Questions I–K on the Base-Ten Hoppers pages individually.

Use Check-In: Questions I–K on the Base-Ten Hoppers pages in the Student Activity Book to assess students' abilities to decompose numbers using ones and tens [E2]; show different partitions of numbers using number lines and number sentences [E3]; make connections between place value concepts and representations of numbers with number lines and number sentences [E6]; recognize that different partitions of a number have the same total [E7]; solve addition word problems involving two whole numbers using number lines [E8]; and show work [MPE5].

To provide targeted practice with decomposing numbers and showing partitions, use prepared copies of the Open Number Lines Master. See Materials Preparation.

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