Academic Geometry Course Syllabus

  • Academic Geometry

    Course Syllabus

    2014-2015

     

    Instructor: Mr. Bob Biese                             Classroom: Room 103

    Contact: e-mail: bieser@nwlehighsd.org       HS phone number: (610) 298-8661

     

    THE BEST WAY TO CONTACT ME IS VIA E-MAIL

     

                Materials: EXPECTED to be brought to class everyday by every student

    Text: Glencoe Geometry (Common Core Edition)– Copyright 2014 by The McGraw-Hill Companies, Inc.

    Recommended calculator: TI 84 Plus is highly recommended

    Notebook: a three ring notebook will be required for keeping tests, handouts, notes, homework and projects. This notebook will be graded periodically during the semester.

    Pencil: This is a mathematics course – I expect all tests and homework to be completed in pencil. I will not accept tests or homework that have been completed in pen.

     

    Course description

    This course is designed for those students who demonstrate the ability to think logically and intuitively, while exhibiting evidence of divergent and creative thinking in mathematics. The material covered in the regular geometry course will be enriched by the inclusion of more rigorous proofs, which demand higher level thinking skills. Topics studied include angles, right triangles, circles, polygons, and three-dimensional shapes.

     

    What to Do if You Miss Class:

    • Making up work is your responsibility!  When you return to school after an absence, first, check the class google group to see what assignments and activities you missed and/or check with a fellow classmate to see what information you need to obtain and what assignments were missed.
    • If, over the course of the period, you have not received any missed handouts homework etc., see me at the end of class for the necessary material.
    • If a quiz or test was missed, you need to see me at the end of the period or over flex so we can designate a time and place for you to complete the test.
    • Hand-in any missing assignments to me in the period hand-in/out folder. If work is being handed in late due to an excused absence from class – please indicate that on the top of the paper by writing the word “absent” and the date of your absence.  Unless specified by you, I will assume the assignments are late.
    • If you are absent for one school day, all work that was due on that day will be due immediately upon your return. This includes tests and quizzes. Work that was assigned prior to your absence is due the day you return to class.  Work for multiple days of absence must be completed within 3 days upon your return to school.

     


    Academic Geometry Unit Plan

    Unit 1: Geometric Structure

    -     Tools of Geometry

    o   Points, Lines, and Planes; Linear Measure; Distance and Midpoint; Angle Measure; Angle Relationships; Two-Dimensional Figures; Three-Dimensional Figures

    -     Reasoning and Proof

    o   Inductive Reasoning and Conjecture; Logic; Conditional Statements; Deductive Reasoning; Postulates and Paragragh Proofs; Algebraic Proof; Proving Segment Relationships; Proving Angle Relationships

    -     Parallel and Perpendicular Lines

    o   Parallel Lines and Transversals; Angles and Parallel Lines; Slopes of Lines; Equations of Lines; Proving Lines Parallel; Perpendiculars and Distance

     

    Unit 2: Congruence

    -     Congruent Triangles

    o   Classifying Triangles; Angles of Triangles; Congruent Triangles; Proving Triangles Congruent – SSS, SAS; Proving Triangles Congruent – ASA, AAS; Isosceles and Equilateral Triangles; Congruence Transformations; Triangles and Coordinate Proof

    -     Relationships in Triangles

    o   Bisectors of Triangles; Medians and Altitudes of Triangles; Inequalities in One Triangle; Indirect Proof; The Triangle Inequality; Inequalities in Two Triangles

    -     Quadrilaterals

    o   Angles of Polygons; Parallelograms; Tests for Parallelograms; Rectangles; Rhombi and Squares; Trapezoids and Kites

     

    Unit 3: Similarity

    -     Proportions and Similarity

    o   Ratios and Proportions; Similar Polygons; Similar Triangles; Parallel and Proportional Parts; Parts of Similar Triangles; Similarity Transformations; Scale Drawings and Models


     

    Unit 4: Measurement

    -     Circles

    o   Circles and Circumference; Measuring Angles and Arcs; Arcs and Chords; Inscribed Angles; Tangents; Secants, Tangents, and Angles Measures; Special Segments in a Circle; Equations of Circles

    -     Areas of Polygons and Circles

    o   Areas of Parallelograms and Triangles; Areas of Trapezoids, Rhombi, and Kites; Areas of Circles and Sectors; Areas of Regular Polygons and Composite Figures; Areas of Similar Figures

    -     Extending Surface Area and Volume

    o   Representations of Three-Dimensional Figures; Surface Areas of Prisms and Cylinders; Surface Areas of Pyramids and Cones; Volumes of Prisms and Cylinders; Volumes of Pyramids and Cones; Surface Areas and Volumes of Spheres; Spherical Geometry; Congruent and Similar Solids

     

    The topics above are not listed in the order in which we may cover them during the semester. Additional topics will be added in throughout the course as we explore student skills and identify areas of interest.

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