Thursday, December 9, 2010

Unit Planning Assignment-Unit Plan

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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