#### Lesson Plan

## Exploring Area of Circles

### Alignments:

### Grade Levels

### Related Academic Standards

### Assessment Anchors

### Eligible Content

### Big Ideas

### Concepts

### Competencies

### Objectives

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.

### Essential Questions

- 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?

### Vocabulary

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

### Duration

60–90 minutes

### Prerequisite Skills

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

### Materials

- 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

### Related Unit and Lesson Plans

### Related Materials & Resources

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.

- Area of a Circle

http://www.mathgoodies.com/lessons/vol2/circle_area.html

- Area, Circumference, Radius, and Diameter Calculator

http://www.mathsisfun.com/geometry/circle-area.html

- Area of Circle Calculation Practice, Jeopardy style

http://www.quia.com/cb/10522.html

- Timed Area of Circle Calculations

http://www.aaamath.com/exp612x2.htm

- Finding Areas of Ellipses

http://www.math.hmc.edu/funfacts/ffiles/10006.3.shtml

- Checking Areas of Ellipses

http://www.csgnetwork.com/areaellipse.html

### Formative Assessment

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### Suggested Instructional Supports

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### Instructional Procedures

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