Lesson+Plan

Lesson Plan Assignment

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Lesson Guide Sheet:

Geogebra WebStart: Geogebra Web Start

Campus: Beaver Dam High School ||
 * Title of Lesson: Properties of Circles Through Constructions || Date: 4/6/2010 Timeframe of Lesson: 0.5 block ||
 * Author(s): Andrew Hayes & Todd Butterworth || School District: Beaver Dam Unified
 * Subject Area(s): Geometry / Geometry H || Grade Level(s)/Course: 9th – 10th ||
 * State Standards
 * constructing physical models**
 * drawing precisely with paper-and-pencil, hand calculators, and computer software**
 * using appropriate transformations* (e.g., translations, rotations, reflections, enlargements)**
 * using reason and logic** |||| Subject Specific:

C.12.1 Identify, describe, and analyze properties of figures, relationships among figures, and relationships among their parts by constructing physical models, creating precise constructions using computer software, using transformations, and using logic and reason C.12.3 Present convincing arguments by means of demonstration, informal proof, counter-examples, or any other logical means to show the truth of statements (e.g., these two triangles are not congruent) and generalizations (e.g., the Pythagorean* theorem holds for all right triangles) || |||| Reinforce and re-teach the properties of circles, arcs, and chords by using interactive constructions in order to have students comprehend the theorems presented in the unit.
 * __WI Math Standards__**
 * Stated Objective(s)

Students will know… · How to construct geometric models with computer software · How to transform one model into another model to explain or demonstrate a geometric principle · The theorems behind chords, arcs, tangent lines, inscribed angles, inscribed arcs, and finding angle measures using circles and tangents of exterior angles.

Students will understand… · Why chords that are congruent and chords that are perpendicular behave in particular ways · How inscribed angles can be measured · Intersecting lines inside and outside of the circle can be used to solve different problems. ||
 * Procedures for Lesson

|||| Students will have already completed the introduction to the unit on circles and should have a working knowledge of the vocabulary and what to expect.

Students proceed to computer lab. Assign groups of two randomly Get students logged in and into Moodle page for the course. Give students instructions on opening and saving the work document. Have students open geogebra webstart. Students may now begin the investigation

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 * Assessment or Evaluation

|||| // Students will be assessed on their responses to the prompts provided in the word document. Students will also be self assessing as they fill out the form. //

// The form also indicates places where the students may freely share how the investigation changed their understanding of the content. //

// Students will also be assessed on understanding and knowledge of these concepts on 5 independent spiral tests. // ||
 * Enrichment

|||| // During the unit students will be asked about different properties and theorems and they will be asked to explain why these properties exist, create their own models freely, and then present them to the class. // ||
 * Materials |||| // Computer, Geogebra, Word // ||
 * |||| **__ Technology Resources __**** : **// Geogebra, Microsoft Word, Geogebra links on course moodle page to geogebra wiki, #14 computers, //


 * __ Other Resources __**** : **// Textbook, notebook, pencil. // ||