EDCP 342A: UNIT PLAN
Math 11 Unit: Circle Properties
Lesson No. | Topic | Learning and Teaching Objectives | Connections Made | Activities of Students and Teacher | Materials Needed | Assessment and Evaluation |
1. | Introduction to Circle Concepts | -to learn about terminology relating to circles -to teach and relate new terms to concepts and applications in real life | -the existence of circles and these concepts in real life | -lesson notes and student exercises | -prepared lesson notes -prepared exercises for students along with solutions | -think, pair, share at the end of class with discussion of answers |
2. | Properties of Chords | -to learn the chord properties -to have students conjecture these properties based on findings from examples | -use of technology in math | -student activity using geogebra -lesson notes | -prepared lesson notes -booked computer lab with geogebra program | -exit slip Q |
3. | Proving Chord Properties | -to introduce concept of proofs -to learn how to prove the properties of a chord -to understand how and why these properties hold true | -the use of inductive reasoning in proofs | -class discussion on proofs through examples with student participation | -prepared student example questions with solutions | -group work with teacher monitoring students’ progress by walking around class |
4. | Angles of a Circle Properties | -to learn the properties of angles in a circle -to have students conjecture these properties based on their findings from examples | -use of technology in math -how important of an impact differing angles can have (ie, in a photograph or building a structure) | -lesson notes and student activity using geogebra | -prepared lesson notes -booked computer lab with geogebra program | -partner quiz |
5. | Proving Angle Properties | -to further practice doing proofs -to understand how angle properties were developed -to understand why these properties are true | -the use of logic in completing a proof | -jigsaw activity with students -lessons notes summarizing concepts learnt | -prepared jigsaw activity handouts and questions (with solutions) -prepared notes | -warmup Q |
6. | Properties of Cyclic Quadrilaterals | -to learn the properties of cyclic quadrilaterals -to relate these properties to those learnt about chords and angles | -the applications of cyclic quadrilaterals in real life (ie, a walkway around a hemispherical dome) | -lessons notes and student exercises -unit math project will be assigned | -prepared lesson notes -prepared student exercises with solutions -prepared math project handout | -review quiz |
7. | Proving Cyclic Quadrilateral Properties | -to develop ability at proving theorems using indirect proofs -to understand why the properties of cyclic quadrilaterals hold true | -completing a proof by incorporating earlier learnt properties of circles | -lesson notes then review of concepts learnt so far with student activity game-Jeopardy style | -prepared lesson notes -prepared Jeopardy-styled activity | -assess performance and ability during Jeopardy game |
8. | Tangents to a Circle | -to learn what is a tangent and the properties a tangent to a circle has -to have students conjecture these properties by working on examples | -relating tangents to solar and lunar eclipses | -group problem solving activity -lesson notes | -solar and lunar eclipse diagrams -prepared group questions with solutions -prepared lesson notes | -exit Q |
9. | Proving Tangent Properties | -to learn and understand how and why the tangent properties are true -for students to be able to now construct a proof on their own | -completing a proof using what was learnt from earlier proofs -develop mathematical reasoning and understanding | -class discussion on proofs through examples with students working on boards -work on math project | -prepared discussion questions with solutions | - think, pair, share at the end of class with discussion of answers |
10. | Tangent-Chord Theorem | -to learn the tangent-chord theorem -to understand how all the earlier learnt properties cause this theorem to hold true | -incorporating earlier learnt material on circles, chords and angles | -lesson notes and student exercises -work on math project | -prepared lesson notes -prepared student exercises with solutions | -pop quiz |
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