Warm-up: How Many Do You See: Equal Groups (10 minutes)
- Groups of 2
- “How many do you see? How do you see them?”
- Flash the image.
- 30 seconds: quiet think time
- Display the image.
- “Discuss your thinking with your partner.”
- 1 minute: partner discussion
- Record responses.
How many do you see? How do you see them?
- “What do you know about How Many Do You See?” (They have dots arranged in groups that make the dots easier to count. There are many different ways to count the dots.)
- Consider asking: “What would you have to think about if you were going to design a How Many Do You See like this one?” (How the dots are organized. How to create groups of dots that are easy to count. Different ways that the dots could be seen.)
- Record and display responses for all to see.
Activity 1: Design Your How Many Do You See (20 minutes)
- Groups of 3 - 4
- “Work with your group to create a How Many Do You See activity about equal groups.”
- 15 minutes: small-group work time
- If time permits, encourage students to create a second dot image.
Draw a dot image that would encourage your classmates to count equal groups.
Write down possible ways students might see the dots in your image.
Ways students might see the dots:
- “What questions do you still have about creating your How Many Do You See?”
- Give students a few minutes to make adjustments, if needed.
Activity 2: Facilitate Your How Many Do You See (15 minutes)
The purpose of this activity is for students to facilitate the How Many Do You See they created in the previous activity. Each group takes turns facilitating their How Many Do You See for another group (or two groups, if time permits).
Supports accessibility for: Memory; Organization
- Each group of 3-4 from the previous activity needs 1 piece of chart paper and a marker.
- Groups of 3 - 4 from previous activity
- Give each group a piece of chart paper and a marker to record responses.
- “Now, work with another group and take turns facilitating the How Many Do You See activity you created.”
- 10–12 minutes: small-group work time
- Remind students to switch roles after 5–6 minutes.
- Ask your classmates, “How many do you see? How do you see them?”
- Flash your image.
- Give 30 seconds quiet think time.
- Display your image.
- Give them a minute to discuss together.
- Ask them to share how many they saw and how they saw them.
- Record their ideas.
- “What did you learn from facilitating your activity?” (Others might see the dots in ways we did not think of. Arranging the dots thoughtfully is important so others can see the pattern we are after.)
“What important things did you consider as you created the image for your How Many Do You See? Why were these things important?” (We thought about the ways to arrange the dots, so they could be grouped to help other students count them. We thought about how many dots were in the groups, because if they were too big, other students wouldn't have time to count the dots in a short amount of time.)