More Eight Circles

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Objective

SWBAT describe how to find the area of a composite figure

Big Idea

Can you tell me why?

Launch

5 minutes
  • POD

As students enter the room, they will have a seat, take out their Problem of the Day (POD) sheet and begin to work on the question on the SMARTboard. The POD allows students to use MP 3 continually based on the discussions we have about the problem each day.

We will start class today with a review of the exit question from the previous class (Eight Circles Lesson). I want to explore what students did with the shaded areas in the figure. How did they account for that space?

How much area does the shaded part of the figure represent? Did you account for that space in your calculations?

Explore

30 minutes

We will use the class time to complete the task started in class yesterday. The goal for today is for students to present their thinking to the group. If groups used different approaches, I want them to share with their classmates to give a different perspective. It is also valuable for them to talk through their process and explain their thinking. Then, other students can ask questions for clarification. They have the option of explaining their process using the SMARTboard for display or they can put their papers under the document camera to share. Either way, I want them to give a presentation of what they did to find the solution. If every pair uses the same problem-solving process we can talk about why that was the choice. If not, we can discuss the efficiency of the differing options and why partners chose what they did.

Landing

5 minutes

To end the class, students will respond to an exit ticket that asks them to explain how to determine the area of the composite figure. I want each student to explain his or her problem-solving process. This formative assessment will let me know whether students understand the process or may possibly need additional support.