Inscribed Angles
I.SectionObjectives
- Find the measure of inscribed angles and the arcs they intercept.
II.ProblemSolvingActivity-FindtheInscribedAngles
- For this activity, students are going to work in small groups to write a problem.
- Each problem must have a circle with a triangle or a quadrilateral inscribed in it.
- Students are going to use a protractor to measure the angles of the inscribed angles.
- Students are assigned the task of writing a word problem for another student to solve.
- Students must include a diagram and have an answer key to check student work.
- Allow time for students to write their problems.
- If students are having difficulty, have them brainstorm things with circles and other things in them- like a
circus ring with a stand in it, an amphitheater, a raft in a lake, etc. - When students are finished, have them switch papers with another group and solve each other’s problem.
- Allow time for students to share when finished.
- There is a learning curve for this and don’t be surprised if some of the initial attempts at writing a problem are
missing essential components. If this is the case, have the students try again and rewrite the problem. - Be sure that diagrams are accurate- this will make a huge difference.
III.MeetingObjectives
- Students will find the measure of inscribed angles and the arcs they intercept.
- Students will use what they have learned to write a word problem.
- Students will use what they have learned in problem solving.
IV.NotesonAssessment
- Walk around and observe students as they work.
- If students are having difficulty, offer suggestions.
- Help students to understand how to solve the problems.
- Help students to be sure that the problems that they are writing are complete.
- Offer suggestions/feedback as needed.
Angles of Chords, Secants and Tangents
I.SectionObjectives
- Find the measures of angles formed by chords, secants and tangents.
II.ProblemSolvingActivity-FoldingItOut
- Students are going to be examining different chords, secants and tangents as found with a circle model.
- Begin by having each students cut out a circle from a sheet of colored paper.
- Then ask students to fold the circle in half.
- Then fold it in thirds.
Chapter 5. Geometry TE - Problem Solving