## Georgia Learning Connections

CIRCLES, SECANTS AND ARCS

This lesson plan will ask students to explore the relationship of the secants of a circle with the arcs and angles that are created by the secants.

## *Primary Learning Outcome:

Students should be able to state the ______ Theorem which states that, if two secants intersect outside of a circle, the two arcs that are created and the inside angle of the secants has the following relationship: m (angle) = 1/2 (m (arc #1) - m (arc #2)

The students will be able to use and remember other known relationships of circles and inscribed angles to learn the primary outcome.

*Assessed QCC:

(Assessed standards are ones that at the end of the lesson the teacher will know whether or not the students learned that concept. Lessons may be written for one grade at a time but may include standards from more than one subject.)

Non-Assessed QCC:

(Non-assessed standards are taught as part of the lesson but are not included in assessment. These include any skill which will be learned over a period of time such as reference skills or math facts.)

## Standards: Local and/or National

(If the school district has separate/additional standards, they can be listed here. Or if national standards are required as part of a grant they can be copied and pasted here.)

*Total Duration:

## Technology Connection:

GSP will be used to take student’s suggestions and demonstrate the proof of the theorem.

Procedures:

## Step One

Remind the student about previously taught relationships for circles, especially inscribed angles. Discuss how to begin a problem – i.e., writing down what you know, what you are given, any relationships known. Describe the materials to be used by the student including their book and GSP in the computer lab.

Estimated Time: 5 min

Lesson Materials to be Attached:

Title: CircleWriteUp2

Annotation:

Click above to use the GSP file at the end of the students’ explorations.

Add as many steps as needed to completely describe the lesson. (Step Two, Step Three, Step Four…)

*Assessment:

(How will this lesson be assessed? Describe how teachers can assess the lesson. Attach sample quizzes and tests in the steps of the procedures.)

Extension:

(How can this lesson be modified to work with students who already understand the concepts taught? Describe that here.)

Remediation:

(For students who do not readily grasp concepts, how can the lesson be taught differently? Describe that here)

Accommodation:

(How can this lesson be taught differently for students with exceptional needs? These students will be working on the same QCCs as the lesson. Describe that here.)

Modification:

(How can this lesson be changed for students with IEP objectives or other alternate learning outcomes which may include QCCs off grade level?)

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