UAS Summer Geometry Camp

(this course description is subject to revision) 

Instructor: Tom Thompson 

Dates: June 4-22, 2007

Location: JDHS 310

Text:  Discovering Geometry: Key Curriculum Press

Purpose:

This class is intended for high achieving students who have just completed Algebra I at Juneau Douglas High School.  An Algebra I grade of a B+ or higher is encouraged, willingness to get onto an accelerated math track is necessary, and a recommendation from a mathematics teacher is required.  By taking this summer geometry bridge, students who successfully complete the course may be enrolled in Algebra 2-Trigonometry at the beginning of their sophomore year. 

 Credit: 

It has been agreed that students taking and completing this course successfully will earn a semester’s credit in mathematics at Juneau Douglas High school and that credit will be awarded them upon completion of a full year of Algebra 2-Trigonometry at the high school.  This is not a route for taking less math, but a path leading to higher mathematics while in high school.

 Materials Needed:

All materials for the class, including pencils, paper, notebooks, graph paper, compasses, protractors, and graphing calculators will be provided for each student.  The textbooks are on loan from the Juneau School District and must be returned at the end of the course.

 Attendance:

Attendance is mandatory for the three-week session.  Absences affect the students’ grade and NO unexcused absences are allowed. Excused absences due to illness or other legitimate reasons (to be defined by the instructor and supervisor of the program) may be acceptable but must also be limited.

Students must be on time.  Students arriving late will be marked as such and students arriving later than ten minutes after the beginning of the session will be marked absent.

Students arriving late more than once run the risk of being asked to leave the program.

 Behavior:

Be respectful.  We will set classroom rules regarding bathroom and water breaks.  Use good judgment.

 Schedule:

Instruction: 9-10:45     Break 10:45-11   Instruction 11-1   (May be modified)

 Topics and Weekly Schedule:

The topics we will cover are based on the State of Alaska Grade Level Expectations for Geometry for 9^th and 10^th grade students.  We will also cover topics that are commonly seen in the high school geometry class that will help prepare students for Algebra 2-Trigonometry.

Date/Day	Topics/Activities
Mon 6/4	Introducing Geometry:  terminology, notation, coordinate MIDPOINT property, measurement of angles, congruence, define angles, linear pairs, complementary, supplementary, polygons, triangles and special quadrilaterals (1.1-1.5), SKETCHPAD introduction
Tues 6/5	Defining circles, chords, diameters, tangents, arcs, pyramids, cylinders prisms(1.6),  angle relationships (2.5), linear pair conjecture, vertical pair conjecture, parallel line angles (corresponding, alternate int, alter ext, SLOPE, Patterns in Fractals Exploration (p135)
Wed 6/6	Constructions—3.1-3.8  and SLOPES of PAR and PERP lines,
Thurs 6/7	Discover and Prove Triangle Properties, triangle sum, special triangles, exterior angle conjecture, congruence shortcuts (SSS, SAS etc)
Fri     6/8	Construction Art/Triangle Project—bring in artist?
Mon 6/11	Polygons: sum conjecture, exterior angles, kites and trapezoids, midsegments, parallelograms, SOLVING LINEAR SYSTEMS of EQUATIONS,
Tues 6/12	Circles (Chapter 6), properties, tangent, arcs, finding pi, arc length,
Wed 6/13	Transform and Tesselate
Thurs 6/14	Area
Fri     6/15	Project Day/Guest speaker/ Assess/Art
Mon 6/18	Pythagorean Theorem-special right triangles, applications, coordinate plane distance, circles and Pyth Theorem
Tues 6/19	Volume and …Similarity, triangles, corresponding parts of triangles,
Wed 6/20	Trig—right triangle basic through law of sines and cosines
Thurs 6/21	Geometry as mathematical system… formal proofs…
Fri     6/22	Guests/Wrap up/ Assess/ Present Projects

 Solidify these 9^th Grade State GLE’s

[9]MEA-2:  Pythagorean theorem

[9]G-1: Identify, compare and analyze relationships using properties of angles including supplementary or complementary or circles (degrees in a circle)

[9]G-2: Similarity, congruence, symmetry, and transformations of shapes using a coordinate plane and

[9]G-3: drawing or describing the results of applying transformations including translations, rotations, reflections, or dilations.

[9]G-4: Solve problems by determining the volume or surface area of prisms, cylinders, cones, or pyramids.

[9]G-6:  Constructions of plane figures including parallel and perpendicular lines

Explore and Begin to  Master these 10^th Grade State GLE’s

[10]MEA-1: Converting square and cubic units within the same system, English or metric.

[10]MEA-2: Apply right triangle trig to find missing dimensions in real world problems

[10]G-1: Identify, analyze and use supplementary, complementary, and vertical angles, angles created by parallel lines with a transversal, sums of interior or exterior angles of a polygon, central angles, chords, inscribed angles or arcs of a circle

[10]G-2: Use isometric drawings to create 2-d drawings of three d objects

[10]G-3: Identify congruent and similar figures using Euclidean geometry and coordinate geometry

[10]G-4: Use transformations to show congruence or similarity of figures on a coordinate plane

[10]G-5: Determine volume or surface area of spheres or compound solids

[10]G-6: Graphing lines and finding lengths and midpoints using formulas

[10]G-7: Graphing systems of equations and finding solutions and relationships

[10]G-8: Constructions including angles, perpendicular and parallel lines, angles, perpendicular bisectors, congruent angles, regular polygons

[10]PS-4: Using logic and reason to solve problems including method of proof including direct, indirect, and counter examples to validate conjectures.