Download GeometrySyllabusHonors

2013-2014
Geometry Honors
Instructor:
Melissa Theodore
[email protected]
847-731-9447
Course Description:
In this course students will be introduced to the vocabulary and symbolism of
geometry. Through teamwork, students will investigate new situations, discover
relationships, and figure out what strategies can be used to solve problems. By the
end of the course students will have an understanding of a variety of geometric
principles and properties that govern the world around us. Students will see how
principles and properties interweave and use these to solve new problems.
Course Objectives:
Students will be able to:
1. explain, justify and create convincing arguments and proofs.
2. work together to solve problems.
3. share their work with others by writing it down and expressing it verbally.
4. construct and apply relationships of plane geometry for lines, angles, and
triangles.
5. transform, identify relationships and measure plane and three-dimensional
figures.
6. use trigonometric ratios to assist in proofs.
7. pose mathematical questions meaningfully and appropriately.
8. check their work to make sure an answer is correct.
Assignments:
On most days there will be an in-class assignment that is to be completed in teams
and an individual homework assignment that is to be completed outside of class.
Should a team finish their in-class assignment early, it is expected the remaining
class time be used to start on the individual homework assignment.
Course Grading:
Grading Scale:
90-100
A
80-89
B
70-79
C
60-69
D
Below 60
F
Semester grades will be calculated based on the school policy of 80/20
2013-2014
Categorical Breakdown:
Homework:
Individual Tests/Quizzes:
In-Class Work:
Tests/Quizzes:
20%
50%
15%
15%
of
of
of
of
your
your
your
your
total
total
total
total
semester
semester
semester
semester
grade
grade
grade
grade
Essential Questions for the Course:
1. What geometric shapes have what characteristics?
2. How does probability influence predictions?
3. What are the relationships of angles formed by two parallel lines and its
transversal?
4. What methods should be used to find the areas of geometric figures?
5. Is there a relationship between the sides of a right triangle?
6. What are the special relationships between shape, similarity, or congruency?
7. What are the logic steps to support a mathematical statement?
8. Is an event likely or unlikely to occur?
9. How are the trigonometric ratios used to solve right triangles?
10. What information can congruent triangles or quadrilaterals provide when exploring
properties of these types of figures?
11. How do similar figures differ in 2-D and 3-D?
12. How can you use interior and exterior angles to explore polygons?
13. What is the importance of the relationships between angles, arcs, and line segments
in problem solving?
14. How can the volume and surface areas of pyramids, cones, and spheres be used in
real world applications?
Units:
Unit 1: Shapes and Transformations
Unit 2: Angles and Measurements
Unit 3: Justification and Similarity
Unit 4: Right Triangle Trigonometry and Probability
Unit 5: Congruent Triangles, Quadrilaterals and Proofs
Unit 6: Two and three-dimensional shapes
Unit 7: Circles and Solids
Required Materials:
Geometry Connections Textbook
TI-84 Plus Graphing Calculator
Notebook (for journal/learning log)
Folder
Binder