Represent Data and Solve Problems

10 min

Narrative

The purpose of this How Many Do You See? is for students to subitize or use grouping strategies to describe the number of dots they see. Students also make connections between the images to determine the number of dots. Grouping strategies and skip-counting by 2, 5, and 10 offer a review of grade 2 work and build toward multiplication in future lessons. In the Synthesis, students revisit the language of “how many more?” to prepare them to use data from a bar graph to solve “how many more?” problems throughout this lesson.

This is the first time students experience the How Many Do You See? routine in IM Grade 3. Students should be familiar with this routine from a previous grade. However, they may benefit from a brief review of the steps involved.

Launch

  • Groups of 2
  • “How many do you see? How do you see them?”
  • Flash the first image.
  • 30 seconds: quiet think time
Teacher Instructions
  • Display the first image. 
  • “Discuss your thinking with your partner.”
  • 1 minute: partner discussion
  • Record responses.
  • Repeat for each image.

Student Task

How many do you see? How do you see them?

Group of dots.

Groups of dots.

Group of dots.

Solution Steps (6)
  1. 1
    Look at Image 1 and identify groups
    6 dots arranged as 2 rows of 3 dots each
  2. 2
    Count Image 1 using grouping
    Skip count by 3: 3, 6. Total = 6 dots
  3. 3
    Look at Image 2 and identify groups
    8 dots arranged as 2 groups of 4
  4. 4
    Count Image 2 using grouping
    Skip count by 4: 4, 8. Total = 8 dots
  5. 5
    Look at Image 3 and identify groups
    10 dots arranged as 5 groups of 2
  6. 6
    Count Image 3 using grouping
    Skip count by 2: 2, 4, 6, 8, 10. Total = 10 dots

Sample Response

Sample responses:

  • 6: I see 2 rows of 3.
  • 8: I see 2 groups of 4.
  • 10: I see 5 groups of 2.
Activity Synthesis (Teacher Notes)
  • “How many more dots were in the third image than in the second image? What equation matches your thinking?” (There were 2 more dots in the third image. 8+2=108 + 2 = 10.)
Standards
Building On
  • 2.OA.3·Determine whether a group of objects (up to 20) has an odd or even number of members, e.g., by pairing objects or counting them by 2s; write an equation to express an even number as a sum of two equal addends.
  • 2.OA.C.3·Determine whether a group of objects (up to 20) has an odd or even number of members, e.g., by pairing objects or counting them by 2s; write an equation to express an even number as a sum of two equal addends.

15 min

20 min