- To differentiate this lesson, have the students work on an activity in small groups.
- The students are going to create a diagram to teach a theorem to the other students in the class.
- Divide the students into groups of four. Each group is assigned a different theorem.
- Group 1- The perpendicular bisector of a chord is the diameter.
- Group 2- the perpendicular bisector of a chord bisects the arc intercepted by the chord.
- Group 3- Congruent chords in the same circle are equidistant from the center of a circle.
- Group 4- Two chords equidistant from the center of a circle are congruent.
- Allow time for the students to work and then have each group teach the class about their theorem.
- Allow time for students to ask questions.
- From this activity, move to the longer examples in the text. The students should have an easier time working
through these examples now that the theorems are very clear. - Intelligences- logical- mathematical, linguistic, visual- spatial, bodily- kinesthetic, interpersonal, intrapersonal
III.SpecialNeeds/Modifications
- Begin by defining a chord as a line segment whose endpoints are both on a circle.
- Show students a diagram to define a chord.
- Write out each theorem on the board. Request that students write the notes in their notebooks.
- Review the terms diameter, bisector, perpendicular, congruent.
- Point of the significance of the word “equidistant” in two of the theorems.
IV.AlternativeAssessment
- Use flexible grouping to engage all learners.
- Walk around and observe students as they work on preparing their lesson.
- Be sure that each presentation accurately teaches the content of the lesson.
- Provide correction and feedback when necessary.
Inscribed Angles
I.SectionObjectives
- Find the measure of inscribed angles and the arcs they intercept.
II.MultipleIntelligences
- Begin by teaching the material in the first part of this lesson. Stop before you get to the practical examples
where students are actually figuring out angle measures. - To expand student understanding, make the corollary section interactive.
- Have students work in pairs to draw out an example of each corollary.
- Tell students that you will be collecting the examples at the end of the class.
- Then move on to the actual examples in the lesson.
III.SpecialNeeds/Modifications
- Provide students with the following notes.
- Inscribed angles- vertex on circles, sides are chords, intercepts an arc of the circle.
- Review parts of an angle.
- Review definition of a chord.
Chapter 4. Geometry TE - Differentiated Instruction