Circular Grid
5 min
Teacher Prep
Setup
Narrative
This Warm-up introduces the circular grid, which students will use in a later activity. While students may notice and wonder many things about this image, the fact that the circles in the grid all have the same center and that the distance between consecutive circles is the same are the important discussion points. This prompt gives students opportunities to see and make use of this specific structure (MP7).
Launch
Arrange students in groups of 2. Display the image for all to see. Give students 1 minute of quiet think time and ask them to be prepared to share at least 1 thing they notice and 1 thing they wonder. Give students another minute to discuss their observations and questions.
Student Task
What do you notice? What do you wonder?
Sample Response
Things students may notice:
-
The circles share the same center.
-
The center of the circles is the point where the lines meet.
-
The distance from one circle to the next is always the same.
Things students may wonder:
-
When is this grid useful?
-
Why are the circles equally spaced?
-
Why are there 6 lines meeting in the center?
Activity Synthesis (Teacher Notes)
Ask students to share the things they noticed and wondered. Record and display their responses without editing or commentary. If possible, record the relevant reasoning on or near the image. Next, ask students, “Is there anything on this list that you are wondering about now?” Encourage students to observe what is on display and respectfully ask for clarification, point out contradicting information, or voice any disagreement.
Standards
- 3.G.A·Reason with shapes and their attributes.
- 3.G.A·Reason with shapes and their attributes.
- 4.MD.5·Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement:
- 4.MD.C.5·Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement:
15 min
15 min
Knowledge Components
All skills for this lesson
No KCs tagged for this lesson
Circular Grid
5 min
Teacher Prep
Setup
Narrative
This Warm-up introduces the circular grid, which students will use in a later activity. While students may notice and wonder many things about this image, the fact that the circles in the grid all have the same center and that the distance between consecutive circles is the same are the important discussion points. This prompt gives students opportunities to see and make use of this specific structure (MP7).
Launch
Arrange students in groups of 2. Display the image for all to see. Give students 1 minute of quiet think time and ask them to be prepared to share at least 1 thing they notice and 1 thing they wonder. Give students another minute to discuss their observations and questions.
Student Task
What do you notice? What do you wonder?
Sample Response
Things students may notice:
-
The circles share the same center.
-
The center of the circles is the point where the lines meet.
-
The distance from one circle to the next is always the same.
Things students may wonder:
-
When is this grid useful?
-
Why are the circles equally spaced?
-
Why are there 6 lines meeting in the center?
Activity Synthesis (Teacher Notes)
Ask students to share the things they noticed and wondered. Record and display their responses without editing or commentary. If possible, record the relevant reasoning on or near the image. Next, ask students, “Is there anything on this list that you are wondering about now?” Encourage students to observe what is on display and respectfully ask for clarification, point out contradicting information, or voice any disagreement.
Standards
- 3.G.A·Reason with shapes and their attributes.
- 3.G.A·Reason with shapes and their attributes.
- 4.MD.5·Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement:
- 4.MD.C.5·Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement: