Lesson 1

Place Value with Larger Numbers

Est. Class Sessions: 2

Developing the Lesson

Part 1: Representing One Thousand

Show One Thousand Ants. Read aloud the book One Hundred Hungry Ants by Elinor J. Pinczes. In the story, ants find different ways to make groups that add to 100.

  • What are some of the ways the 100 ants marched to the picnic? (100 lines of 1, 50 lines of 2, 4 lines of 25, 5 lines of 20, 10 lines of 10)

Show the first page of the accordion fold book with 100 ants. See Materials Preparation.

  • Here is a picture of 100 ants in 10 lines of 10. What do you think one thousand ants would look like?
  • How do you write the number one thousand? (1000)

Have students discuss with a partner what a thousand would look like and then share their ideas with the class. Some students may know immediately that a thousand is 10 groups of 100, but others may think that a thousand is double the group of 100. Use the accordion fold to demonstrate what a thousand looks like. Have a student volunteer hold one end of the book and show an additional page of 100.

  • Do you think this is a thousand?

Finally, open the book completely into one long strip.

  • How many groups of 100 make a thousand? (10)
  • What number sentence can we write to show this? (100 + 100 + 100 + 100 + 100 + 100 + 100 + 100 + 100 + 100 = 1000)

Compare the picture to the base-ten pieces by explaining that each ant is like a bit, each row of ants is like a skinny, 10 rows is like a flat, and the 10 groups of 100 ants is like a pack. Hold up the pack and tell students its name and the symbol using base-ten shorthand. See Figure 2.

Use a set of base-ten pieces to review the bit (one), skinny (ten), flat (100), and pack (1000). As you ask the following questions, demonstrate the relationship between ones, tens, hundreds, and thousands using base-ten pieces.

  • How many ones make a ten? (10)
  • How many ones make a hundred? (100)
  • How many tens make a hundred? (10)
  • How many ones make a thousand? (1000)
  • How many tens make a thousand? (100)
  • How many hundreds make a thousand? (10)

Make One Thousand Many Ways. Display and introduce the Ways to Make a Thousand page in the Student Activity Book. Ask student pairs to show different ways to make a thousand and explain that they can write number sentences (e.g., 500 + 500 = 1000) or they can write phrases (e.g., 1000 groups of 1 = 1000). Explain that the groups do not have to be equal in size. For example, they can write the number sentence 999 + 1 = 1000. Students may also use base-ten shorthand or number lines to show ways to make a thousand.

Upon completion, have students share ways to make a thousand.

Make a class book about a thousand based on the book One Hundred Hungry Ants by Elinor J. Pinczes. Have students choose one of their number sentences from the Ways to Make a Thousand page in the Student Activity Book to illustrate on a sheet of paper. Since drawing a thousand ants on each page is time consuming, you can have 10 groups of students draw 100 ants each for the final page of the book. Assemble the pages into one book about a thousand and place it in the classroom library.

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Base-ten shorthand symbol for one pack
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Some possible ways to cover one-fourth and one-third of a 4 × 3 rectangle
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Some possible ways to show one-third of a 3 × 3 square
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Modeling three-fourths of a whole
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Showing four unequal parts that are not fair shares or fourths
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Different ways to partition a square (sandwich) into fourths
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Recognizing that the same fractional parts of different-size unit wholes are not equal
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