In this lesson, students explore another attribute of circles: area. Students will:

- create their own approximation of the area of a circle based on the area of a circumscribed square.
- learn the formula to determine the area of a circle given the radius or diameter.
- use the formula for area to determine the radius or diameter when given the area.

How are spatial relationships, including shape and dimension, used to draw, construct, model, and represent real situations or solve problems?

How can geometric properties and theorems be used to describe, model, and analyze situations?

How can patterns be used to describe relationships in mathematical situations?

How can recognizing repetition or regularity assist in solving problems more efficiently?

How can the application of the attributes of geometric shapes support mathematical reasoning and problem solving?

- How can patterns be used to describe relationships in mathematical situations?
- How can recognizing repetition or regularity assist in solving problems more efficiently?
- How are spatial relationships, including shape and dimension, used to draw, construct, model, and represent real situations or solve problems?
- How can the application of the attributes of geometric shapes support mathematical reasoning and problem solving?
- How can geometric properties and theorems be used to describe, model, and analyze situations?

**Circumference:**The distance around a circle. (*C*= 2π*r*)

60–90 minutes

Prerequisite Skills haven't been entered into the lesson plan.

- one copy of the Area Worksheet (M-7-4-2_Area Worksheet and KEY.docx) for each pair of students
- one copy of Optional Circles in Context sheet (M-7-4-2_Optional Circles in Context and KEY.docx) for each student (
*optional*) - one copy of the Lesson 2 Exit Ticket (M-7-4-2_Lesson 2 Exit Ticket and KEY.docx) for each student

The possible inclusion of commercial websites below is not an implied endorsement of their products, which are not free, and are not required for this lesson plan.

- one copy of the Area Worksheet (M-7-4-2_Area Worksheet and KEY.docx) for each pair of students
- one copy of Optional Circles in Context sheet (M-7-4-2_Optional Circles in Context and KEY.docx) for each student (
*optional*) - one copy of the Lesson 2 Exit Ticket (M-7-4-2_Lesson 2 Exit Ticket and KEY.docx) for each student

Instructional videos haven't been assigned to the lesson plan.

Final 05/24/2013

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