# Analytic Geometry Course Syllabus

```Analytic Geometry Course Syllabus
TEACHER: Nick Bridges
PHONE: (770) 382-3200
EMAIL: [email protected]
TEXTBOOK: Analytic Geometry
COURSE PREREQUISITES: Successful completion of Coordinate Algebra
BOOK COSTS: \$20
COURSE DESCRIPTION: The focus of Analytic Geometry on the coordinate plane is organized into 6
critical areas. Transformations on the coordinate plane provide opportunities for the formal study of congruence
and similarity. The study of similarity leads to an understanding of right triangle trigonometry and connects to
quadratics through Pythagorean relationships. The study of circles uses similarity and congruence to develop
basic theorems relating circles and lines. The need for extending the set of rational numbers arises and real and
complex numbers are introduced so that all quadratic equations can be solved. Quadratic expressions, equations,
and functions are developed: comparing their characteristics and behavior to those of linear and exponential
relationships from Coordinate Algebra. Circles return with their quadratic algebraic representations on the
coordinate plane. The link between probability and data is explored through conditional probability. The
Mathematical Practice Standards apply throughout each semester and, together with the content standards,
prescribe that students experience mathematics as a coherent, useful, and logical subject that makes use of their
ability to make sense of problem situations.
COURSE OBJECTIVES:
Unit 1: Define &amp; use dilations in a coordinate plane to develop
similar figures.
Use AA, SSS, &amp; SAS similarity postulates &amp; theorems
to prove triangles similar.
Apply Triangle Proportionality Theorem.
Use SSS, SAS, ASA, AAS, &amp; HL postulates &amp; theorems
to prove triangles congruent.
Prove and apply theorems about parallelograms.
Make formal geometric constructions using a wide variety
of tools &amp; methods.
Unit 2: Identify and use special right triangles.
Define and apply sine, cosine, and tangent ratios to right
triangles.
Unit 3: Understand &amp; apply properties of angles &amp; segments
formed in circles.
Find Arc Length &amp; Area of Sectors of Circles.
Solve problems involving volume of cylinders, pyramids,
cones, &amp; spheres.
Solve quadratic equations using square roots,
factoring, quad. formula, and complete the square.
Graph quadratics by translations of parent functions
in vertex form, standard form, &amp; factored form.
Identify all characteristics of quadratics in various
forms.
Estimate average rate of change from a quadratic
graph.
Solve a simple system involving a linear &amp; quadratic
equation.
Unit 6: Write and interpret the equation of a circle &amp; a
parabola.
Prove properties involving circles &amp; parabolas.
Show the intersection of a line &amp; quadratic is the
point where the two equations are equal.
Unit 7: Elementary set theory &amp; notation
(sets, subsets, intersections, and unions).
Unit 4: Rewrite expressions involving radicals &amp; rational exponents.
Understand &amp; compute dependent/independent
Explain closure properties of arithmetic operations with
probabilities.
rational &amp; irrational numbers.
Understand &amp; compute simple conditional
Define &amp; perform operations with imaginary &amp; complex
probabilities.
numbers.
Perform operations on polynomials.
Explain closure properties of arithmetic operations on polynomials.
CLASS EXPECTATIONS:
1 Students are expected to be on time to class, prepared to begin when the bell rings.
2 Students are expected to bring their book, pencil, paper, and a calculator (TI-36 X PRO) to class daily.
3 Students are expected to arrive with their assignment completed.
4 RESPECT for the teacher and classmates are to be given at all times.
5 Students are expected to demonstrate regular and punctual attendance, and comply with the attendance
policy to receive credit for the course. (See student handbook)
6 Students are not to damage desks, walls, bulletin boards, or any classroom property.
7 Students must return progress reports signed by their parent or guardian.
8 Finally, students are expected to work with a partner, take notes, work in class, finish work at home, and
have a positive attitude.
1st Sem:
2nd Sem:
Tests/Projects:
Daily (HW, quizzes):
Midterm/FINAL
35%
45%
20%
_________________________________
100%
MAKE-UP POLICY:
Students will be allowed to turn in “LATE” homework assignments one day after the homework is due for a
maximum grade of a 70. The students will also be allowed to make-up any assignments they have missed for
absences. Check the student handbook about the make-up work policy. Re-do’s and Retakes of any
assignments or tests “WILL ALWAYS BE AT THE TEACHER’S DISCRETION!”
Math Study Halls: Study halls will begin August 19, 2014.
Tuesday and Thursday afternoons 3:30 to 5:00 Room 108 (Cauthen)
Wednesday mornings
7:10 to 7:40 Room 107 (Collier)
Friday mornings
7:10 to 7:40 Lab 128 (attendance building)
STUDENT SIGNATURE: ___________________________________________________________
PARENT SIGNATURE: _____________________________________________________________
PARENTS’ CELL PHONE NUMBER:
Mom cell: ___________________________________________________________