Understand the concept of Pi, know common estimates of Pi (3.14; 22/7) and use these values to estimate and calculate the circumference and the area of circles.

**Subject Area:**X-Mathematics (former standards - 2008)

**Grade:**6

**Body of Knowledge:**Geometry

**Supporting Idea:**Geometry and Measurement - Geometry and Measurement

**Date Adopted or Revised:**09/07

**Date of Last Rating:**06/07

**Status:**State Board Approved

**Assessed:**Yes

### Remarks/Examples

Using various circular objects, students determine that the ratio of circumference to diameter approximates the value of Pi.### TEST ITEM SPECIFICATIONS

**Reporting Category:**Geometry and Measurement-
**Item Type(s):**This benchmark will be assessed using: MC item(s)

Also assesses MA.6.A.3.4 Solve problems given a formula.

**Clarification :**

Students will use 22/7 or 3.14 as an approximation for to determine the approximate circumference and area of circles.Students will find the diameter or radius, given the circumference or area of a circle.

**Content Limits :**

Items may include using vocabulary such as*radius*,*diameter*, and*center*.

Item graphics or options may include the use of visual representations or vocabulary associated with a circle, such as*chord*,*arc*,*sector*, and*central angle*. These terms will not be directly assessed.**Stimulus Attributes :**

Items may be set in a real-world or mathematical context.

Graphics should be used in most of these items, as appropriate.**Response Attributes :**

Multiple-choice responses should include only correct units (e.g., answers for area questions should all have square units).

### SAMPLE TEST ITEMS (1)

**Test Item #:**Sample Item 1**Question:**In a regulation wrestling match, wrestlers compete within a circular zone 9 meters in diameter.

Which of the following is closest to the area of the circular zone?

**Difficulty:**N/A**Type:**MC: Multiple Choice