Multiples of a Number

10 min

Narrative

This Warm-up prompts students to carefully analyze and compare the area of different figures. In making comparisons, students have a reason to use language precisely (MP6) as they describe the area of different figures. It also enables the teacher to hear the terminologies students know and how they talk about characteristics of shapes that help them find different areas.

This is the first time students experience the Which Three Go Together routine in IM Grade 4. Students are familiar with this routine from a previous grade. However, they may benefit from a brief review of the steps involved.

For all Warm-up routines, consider establishing a small, discreet hand signal that students can display to indicate they have an answer they can support with reasoning. Signals might include a thumbs-up or a certain number of fingers that tells the number of responses they have. Using signals is a quick way to see if students have had enough time to think about the problem. It also keeps students from being distracted or rushed by hands being raised around the class.

Launch

  • Groups of 2
  • Display the image.
  • “Pick 3 that go together. Be ready to share why they go together.”
  • 1 minute: quiet think time
Teacher Instructions
  • “Discuss your thinking with your partner.”
  • 23 minutes: partner discussion
  • Share and record responses.

Student Task

Which 3 go together?

A
Rectangle. Horizontal side, 5. Vertical side, 4.

B
Diagram. Rectangle partitioned into 5 rows of 4 of the same size squares.

C
Rectangle. Horizontal side, 4. Vertical side, 6.

D
6 sided shape.
6-sided shape. Straight sides. All side lengths meet at right angles. Side lengths. Bottom side, blank. Right side rises 3, then goes left 2, and goes up blank. Top side, 2. Left side, 7. 

Sample Response

Sample responses:

  • A, B, and C go together because they have exactly 4 sides.
  • A, B, and D go together because they have an area of 20 square units
  • A, C, and D go together because the side lengths are labeled.
  • B, C, and D go together because they each have a horizontal side with length 4 units.
Activity Synthesis (Teacher Notes)
  • “Why do all 4 go together?” (They show the area of a figure. They give us the information we need to find area.)
  • “How could we determine the area of each figure?” (We can use multiplication for most of them or count the units in one of them.)
Standards
Building On
  • 3.MD.C·Geometric measurement: understand concepts of area and relate area to multiplication and to addition.
  • 3.MD.C·Geometric measurement: understand concepts of area and relate area to multiplication and to addition.

20 min

15 min