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Twenty-four Kids All in Rows

Angela Harris
3rd Grade
Rocky Branch Elementary School
Oconee County Schools


In this task, the children will use linking cubes and graph paper to model different representations of the product of 24.

Illustrative Task
Your teacher has asked you to figure out the best way to place 24 chairs in your room for a special presentation. There is only one requirement; for all arrangements, all the chairs must be placed in an array.

Show all the ways you can find to arrange the chairs. Label the arrays and write the matching number sentences. Which of the arrangements would work well in your classroom so that all students could see the presentation? Explain why.
  • Arrange 24 chairs into an array.
  • Show all the ways you can find to arrange the chairs.
  • Label the arrays and write a matching number sentence for each example.
  • Choose your favorite arrangement and explain in your math journal why that would be the best arrangement for every student to see the presentation.

GPS Addressed
M3N3. Students will further develop their understanding of multiplication of whole numbers and develop the ability to apply it in problem solving.
    a. Describe the relationship between addition and multiplication defined as repeated addition
    b. Know the multiplication facts with understanding and fluency 10 x 10
    c. Use arrays and area models to develop understanding of the distributive property and to     determine partial products for multiplication of 2-digit or 3 digit numbers by a 1-digit number
    e. Apply the identity, commutative, and associative properties of multiplication and verify results
    f. Use mental math and estimation strategies to multiply
    g. Solve problems requiring multiplication

Video Information
Use these questions to guide your thinking about some of the important teacher ideas in the lesson featured in the video clip.
  1. What kinds of questions does the teacher ask to promote students’ problem solving?
  2. How is the teacher gauging students’ current understandings and building from those understandings?
  3. Consider the GPS standards listed with this video.How does the lesson featured in this video address each of these?
  4. What makes this lesson different from lessons you have taught on this topic?

Classroom Materials

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