Download Geometry - Hamilton School District

HAMILTON HIGH SCHOOL
COURSE SYLLABUS
SUBJECT AREA: Math
ELECTIVE CLASS
CREDITS: 2
COURSE TITLE: Geometry
PRE-REQUISITE: Algebra I
GRADES: 9-12
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1. COURSE DESCRIPTION: The general objective of this class is to improve the students’ problem
solving ability, using a set standard of materials to reason through, and then logically find step
by step solutions to more complex exercises. Students will use formulas for problem solving in
plane geometrical figures.
2. COURSE OBJECTIVES:
The objective of this class is for students to discover and make conjectures about geometry. In
general students will be introduced to and use the tools of geometry, learn line, angle, triangle,
polygon and circle properties, area, Pythagorean theorem, volume, similarity, trigonometry and
geometric proof.
3. COURSE OUTLINE:
QUARTER ONE:
A.
Chapter 1 - Introducing Geometry
1.
Discover basic geometry definitions
2.
Define line and angle relationships
3.
Define polygons and triangles
4.
Draw 3-D geometry pictures and problem solve
B.
Chapter 2 - Using Tools of Geometry
1.
Duplicate segments, angles, perpendicular bisectors, perpendiculars,
angle bisectors and parallel lines with compass and straightedge and
geometry sketchpad
2.
Construct points of concurrency and discover the Euler line with
compass and straightedge and geometry sketchpad
C.
Chapter 3 - Line and Angle Properties
1.
Discover angle relationships and properties of parallel lines
2.
Midpoint and slope conjectures including slopes of parallel and
perpendicular lines
3.
Write equation of lines and finding intersection of lines
4.
Geometry probability
D.
Chapter 4 - Triangle Properties
1.
Triangle sum conjecture
2.
Properties of isosceles triangles and triangle inequality conjecture
3.
Shortcuts to congruent triangles
4.
Flowchart proofs
QUARTER TWO:
A.
Chapter 5 - Polygon Properties
1.
Polygon sum conjecture and exterior angles of polygons
2.
Discover kite, trapezoid, mid-segment and parallelogram properties
B.
Chapter 6 - Circles
1.
Define circles
2.
Discover chord and tangent properties
3.
Arcs and angle measures
4.
Circumference/diameter ratio and arc length
C.
Chapter 8 - Area
1.
Area of rectangles and parallelograms
2.
Area of triangles, trapezoids and kites
3.
Areas of regular polygons
4.
Area of circles including sectors, segments and annulus
5.
Surface area
QUARTER THREE:
A.
Chapter 9 - Pythagorean Theorem
1.
Pythagorean Theorem and its converse
2.
Special right triangles and multiples of right triangles
3.
Distance formula in coordinate geometry
4.
Circles and the Pythagorean theorem
B.
Chapter 10 - Volume
1.
Define polyhedrons, prisms, pyramids, cones, cylinders, and spheres
2.
Volumes of prisms, cylinders, pyramids, cones and spheres
3.
Displacement and density
4.
Surface area of spheres
C.
Chapter 11 - Similarity
1.
Ratio and proportion
2.
Similarity, similar triangles and corresponding parts of similar triangles
3.
Proportions with area and volume
4.
Proportional segments by parallel lines
QUARTER FOUR:
A.
Chapter 12 - Trigonometry
1.
Trigonometric ratios and problem solving with right triangles
2.
Law of sine’s and cosine’s
B.
Chapter 14 – More Geometric Proof
1.
Premises and postulates of geometry
2.
Geometric proof
4. EVALUATION /ASSESSMENT METHODS:
a) The students will be evaluated on short answer homework, quizzes, tests and
compass and straightedge and geometry sketch pad projects.
b) Entry/Exit Quizzes: Small formative check for understanding assessments. 10%.
c) Regular Quizzes: expect at least one quiz per week. Some quizzes will be taken
directly from homework assignments; therefore you will be required to keep all
assignments and notes in a notebook or binder. Quiz grades are worth 30% of the
quarter grade.
c) Tests: there will be a unit test given at the end of each chapter or unit. Expect 2 to 5
tests per quarter. Any projects or group activities may also be included in the test
grades. Test grades are worth 60% of the quarter grade.
d) Homework: daily assignments are very important to your success on quizzes and
tests, but there is no percentage weight placed on homework. We will use a “check”
method to factor in a homework grade.
5. LEARNING ACTIVITIES/METHODS USED:
Textbook: Discovering Geometry: An Inductive Approach, by Michael Serra 1997
(Geometry Sketchpad software)
6. CAREER CONNECTION:
A primary goal of education is to develop informed, articulate citizens capable of making
decisions on personal, community, national, and world issues based on rational thought.
Mathematics develops skills and knowledge necessary for life, and provides the background for
a variety of educational and vocational options.
7. CLASSROOM PROCEDURES:
1) Treat others and their property with respect.
2) Use language and behavior appropriate to a classroom.
3) Respect another’s right to learn, and my right to teach
4) Be in your seat, ready to go when the bell rings.
5) Be prepared, text, assignment, pencil, and calculator.
If you are absent for any reason, IT IS YOUR RESPONSIBILITY to find out what assignments
you may have missed. Every assignment is posted on the board in the classroom. The missing
assignment must be turned in the next time the class meets. For example: if you missed class
on Friday, the missing assignment will be due at the start of class on the following Tuesday.
Failure to be completely prepared for class will result in a tardy. You may borrow a pencil
from a classmate or buy one from me for $.25. If you lose your book, you will not be issued a
new one until the lost one is paid for. You will need to purchase a calculator for class. You
will be allowed on many occasions to use a calculator to speed up simple, but timely
operations. You must bring your own calculator everyday!!