Lesson 4

Every Number Has Its Place

Est. Class Sessions: 2

Summarizing the Lesson

Display the Cubes on Desks Master. Conclude the lesson by telling the students number stories like you did in Lesson 3, this time modeling numbers in the hundreds. Ask student volunteers to assemble 10 stacks of ten cubes. Bundle the ten stacks with a rubber band to make a model of 100.

  • How many cubes are in this bundle? How do you know? (100; Possible response: I can count the stacks by tens. 10 tens in 100.)

Challenge students to match the number being described in each story to the numbers modeled with connecting cubes on Desks A, B, C, or D on the Master. Ask them to represent the groups of hundreds, tens, and ones in the stories on the charts on the Master.

  • Diana and Sam put their cubes together. They arranged 128 cubes on Diana's desk. Which desk has 128 cubes? (B; See Figure 3.)
  • How many hundreds did they have? Tens? Ones? Let's record that on the chart. (1 hundred, 2 tens, and 8 ones)
  • [Point to the 1 on the chart.] How many cubes does the 1 represent? (100 cubes)
  • [Point to the 2 on the chart.] How many cubes does the 2 represent? (20 cubes)
  • [Point to the 8 on the chart.] How many cubes does the 8 represent? (8 cubes)
  • How can you write this as a number sentence? (100 + 20 + 8 = 128)

Use the numbers 102 and 213 in the following stories. 213 is represented in two ways on two different desks. After the stories, prompt students with questions similar to the ones for the number 128 and continue to fill in the charts and number sentences on the Master for each number.

  • Natasha and Suzanne worked with 102 cubes on Suzanne's desk. Which desk belongs to Suzanne? (A; See Figure 4.)
  • How many hundreds did they have? Tens? Ones? (1 hundred, 0 tens, and 2 ones)
  • [Point to the 1 on the chart.] How many cubes does the 1 represent? (100 cubes)
  • [Point to the 0 on the chart.] How many cubes does the 0 represent? (0 cubes)
  • [Point to the 2 on the chart.] How many cubes does the 2 represent? (2 cubes)
  • How can you write this as a number sentence? (100 + 0 + 2 = 102 or 100 + 2 = 102)
  • Josh and Sara put 213 cubes on Josh's desk. Which desk has 213 cubes? (C or D)
  • How can both desks show 213 cubes? (Desk C has 1 hundred, 11 tens, and 3 ones and Desk D has 2 hundreds, 1 ten, and 3 ones.)
  • What is a number sentence that describes the cubes on Desk C? (100 + 110 + 3)
  • What is a number sentence that describes the cubes on Desk D? (200 + 10 + 3)
  • Is this a true number sentence: 100 + 110 + 3 = 200 + 10 + 3? How do you know? (Yes, both sides of the equal sign show 213.)
  • Let's put all our cubes together and build models to show that this number sentence is true.

Assign the Putting Together and Taking Apart Assessment Master for students to complete individually. Each student will need access to 50 connecting cubes.

Use the Putting Together and Taking Apart Assessment Master with the Feedback Box to assess students' abilities to represent quantities using connecting cubes and symbols [E1]; compose and decompose numbers using ones, tens, and hundreds [E2]; show different partitions of numbers using connecting cubes and number sentences [E3]; read and write numbers [E5]; make connections between place value concepts and representations of numbers with connecting cubes and number sentences [E6]; recognize that different partitions of a number have the same total [E7]; and show work [MPE5].

Use the Worskshop in Lesson 6 to provide targeted practice with these Expectations.

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Diana shows 128 cubes for Question B
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Suzanne shows 102 cubes for Question A
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