Download course title - Salmon School

Survey
yes no Was this document useful for you?
   Thank you for your participation!

* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project

Document related concepts

Homography wikipedia , lookup

Perspective (graphical) wikipedia , lookup

Surface (topology) wikipedia , lookup

Space wikipedia , lookup

Multilateration wikipedia , lookup

Dessin d'enfant wikipedia , lookup

Problem of Apollonius wikipedia , lookup

Shape of the universe wikipedia , lookup

Technical drawing wikipedia , lookup

Tessellation wikipedia , lookup

Cartan connection wikipedia , lookup

Analytic geometry wikipedia , lookup

Euler angles wikipedia , lookup

Duality (projective geometry) wikipedia , lookup

Algebraic geometry wikipedia , lookup

Integer triangle wikipedia , lookup

Pythagorean theorem wikipedia , lookup

Rational trigonometry wikipedia , lookup

Lie sphere geometry wikipedia , lookup

Geometrization conjecture wikipedia , lookup

History of trigonometry wikipedia , lookup

History of geometry wikipedia , lookup

Euclidean geometry wikipedia , lookup

Line (geometry) wikipedia , lookup

Transcript
Honors Geometry
Mr. Frank Green
[email protected]
COURSE DESCRIPTION
Honors Geometry stresses both the basic structures of geometry and formal proofs. Also, concepts of space geometry are integrated
with plane geometry. Algebraic skills are reviewed, strengthened, than applied to solving problems in Geometry. In addition, the
course includes trigonometry, area and volume, constructions, coordinate geometry, and transformations. As in Algebra II, applications
of Geometry are very important to the course content. More content will be covered at an accelerated pace compared to the regular
Geometry course.
ENDURING UNDERSTANDINGS / ESSENTIAL QUESTIONS
Students will understand:

Points, lines, planes, distances, midpoints, angles, and polygons.

Inductive and deductive reasoning.

Logic, conditional statements, and proofs.

Parallel lines, transversals, and angles.

Slopes and equations of lines.

Classifying triangles by angles and sides.

Congruent triangles.

Proving congruence of triangles—SSS, SAS, ASA, AAS.

Isosceles triangles.

Bisectors, medians, and altitudes.

The triangle inequality theorem.

Proportions, similar polygons, and similar triangles.

Fractals.

Geometric mean.

The Pythagorean Theorem.

Special right triangles (45-45-90 and 30-60-90).

Trigonometry.

Parallelograms, rectangles, rhombi, squares, and trapezoids.

Reflections, translations, and rotations.

Tessellations, dilations, vectors, and matrices.

Circles, arcs, and chords.

Inscribed angles, tangents, and secants.

Areas of parallelograms, triangles, trapezoids, rhombi, circles, and regular polygons.

Surface areas and volumes of prisms cylinders, pyramids, cones and spheres.
INSTRUCTIONAL MATERIALS
Textbook: Geometry (Glencoe) 2005
Internet activities
Internet help: www.geometryonline.com
Hewlett Packard scientific calculator
UNITS
1st Semester:
1) Points, Lines, Planes, and Angles
2) Reasoning and Proof
3) Parallel and Perpendicular Lines
4) Congruent Triangles
5) Relationships in Triangles
6) Proportions and Similarity
2 nd Semester:
7) Right Triangles and Trigonometry
8) Quadrilaterals
9) Transformations
10) Circles
11) Areas of Polygons and Circles
12) Surface Area and Volume
ASSESSMENT
Daily assignments may be graded either the next day or on a syllabus situation. Tests will be given at the end of each chapter.
Extra credit and enrichment problems will be given randomly throughout the semester. In addition, a participation grade will
include positive verbal input, work-ethic, and attendance of help sessions (offered before school, during lunch, and during my
prep period). Late assignments will be worth one-half credit and are due within two days.
GRADING
Grades will be calculated based on tests (100 points), quizzes (50 points), daily assignments / activities, and extra credit (these
vary in point value). The final grade will closely resemble a 50:50 ratio of exams (tests and quizzes) with daily work. The
percentage score will be total points accumulated divided by total points possible, which corresponds to the following letter
grades:
A = > 90
B = 80 – 89.9
C = 70 – 79.9
D = 60 – 69.9
F = < 60
CLASSROOM RULES
Discipline yourself so no one else has to.
Respect students, the teacher, and yourself.