Multiplicative Structuring with 2s (Small Group)

8-A-S-1

Purpose: Develop multiplicative reasoning with sets of groups

Description: Students reason with 2-tiles to support developing facility with their 2s.

Materials

  • N-tiles (2s)
  • Screen
Multiplicative Structuring with 2s

What To Say and Do

  • 1

    Present tasks based on student data to leverage knowledge of small doubles or five-plus combinations.

  • 2

    Example task to leverage small doubles:

    1. Place out three 2-tiles face up and screen. Say, 
      1. There are three tiles with two dots on each.
      2. How many dots are there? 
      3. How did you know?
    2. Place three more 2-tiles next to the screen then push under. Ask, 
      1. If I place three more tiles under the screen, how many tiles are under there now?
      2. How many total dots are under there? 
      3. How do you know?
  • 3

    Example task to leverage five-plus combinations: 

    1. Place out five 2-tiles faceup and screen.  Say, 
      1. There are five tiles with two dots on each.
      2. How many dots are there? 
      3. How did you know?
    2. Place three more 2-tiles next to the screen then push under. Ask,   
      1. If I place three more tiles under the screen, how many tiles are under there now?
      2. How many total dots are under there? 
      3. How do you know?
  • 4

    Continue posing tasks with 2-tiles to support students reasoning with groups of groups.

Variations

Present tasks with the 2-tiles facedown.

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