Download Pre-AP Calculus Syllabus Blue Springs School District 2016

Pre-AP Calculus Syllabus Blue Springs School District
2016-2017
1 Credit
Teacher:
Mr. Davis
Plan: 1st
Room Number:
406
Phone Number: (816) 874-3500 ext50649
Email:
[email protected]
Course Description
This course is designed for those students with a
strong background in Algebra II and Geometry.
This rapidly paced course will prepare students
for the rigors of AP Calculus. It is designed to go
into algebraic and trigonometric concepts in the
detail needed for AP Calculus. One honor point
may be earned for successful completion of this
full-year course at the end of the year.
Textbook
Larson, Ron. Precalculus with Limits. Boston:
Brooks Cole, 2014.
Required Course Materials
 Pencil/Paper
 Notebook dedicated to notes/homework
 Graphing Calculator (TI-83, TI-84,
TI-84+CE or equivalent)
Grade Scale
A
90% - 100%
B
80% - 89%
C
70% - 79%
D
60% - 69%
F
0% - 59%
Weighted Grading Scale
Grades are calculated using a weighted scale
and will adhere to the following categories and
percentages. Percentages are based on overall
portion of the final semester grade.
15% - Course Work
(homework, daily assignments, online
practice, in-class work, etc)
75% - Assessments
(formative tests and summative tests)
10% - Semester Final
(18 and 36-week common assessments)
(If you score higher on your semester
final then one of your other tests, your
lowest test score of the semester will be
replaced with your final exam
percentage.)
Late Work
Late work will not be accepted
Make-Up Work
The school/district make-up work policy will be
followed.
Homework
Homework is the responsibility of the student.
Assignments with solutions (on CalcChat) will
be given for practice at home daily. It is the
student’s responsibility to check answers and ask
for help when necessary. If a student receives an
85% or higher on the unit exam, they will not
need to turn in homework. If a student receives
below an 85% on the unit exam, they will be
required to turn in ALL homework from the unit
covered on the exam the day after they take the
test. If a student is struggling with the course
material, they may be required to turn in
homework daily to keep track of their progress.
Common Assessments
One common assessment will be given at the end
of each semester. Each common assessment will
be the semester final for this course.
ACT
The ACT will be administered on the following
dates to all juniors at the expense of the district.
Administration: April 19, 2017
Make-Up:
May 3, 2017
Respect
Teacher, fellow students, yourself, and the
classroom.
Be Here and Be on Time
The school/district attendance and tardy policies
will be followed.
Honor Point
One honor point will be given at the end of the
year with the second semester grade.
For more in-depth information regarding this course go to: bssd.buildyourowncurriculum.com, and look up Pre-AP Calculus
Course Outline/Objectives
Semester 1
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Appendix: Review of Fundamental Concepts of
Algebra
o A1: Real Numbers and Their Properties
o A2: Exponents and Radicals
o A3: Polynomials and Factoring
o A4: Rational Expressions
o A5: Solving Equations
o A6: Solving Inequalities
Test
Unit 1: Functions and Their Graphs
o 1.1: Rectangular Coordinates
o 1.2: Graphs of Equations
o 1.3: Linear Equations in Two Variables
o 1.4: Functions
o 1.5: Analyzing Graphs of Functions
o 1.6: A Library of Parent Functions
o 1.7: Transformations of Functions
o 1.8: Combinations of Functions
o 1.9: Inverse Functions
o 1.10: Mathematical Modeling/Variation
Test
Unit 2: Polynomial and Rational Functions
o 2.1: Quadratic Functions and Models
o 2.2: Polynomial Functions of Higher
Degree
o 2.3: Polynomial and Synthetic Division
o 2.4: Complex Numbers
o 2.5: Zeros of Polynomial Functions
o 2.6: Rational Functions
o 2.7: Nonlinear Inequalities
Test
Unit 3: Exponential and Logarithmic Functions
o 3.1: Exponential Functions and Their
Graphs
o 3.2: Logarithmic Functions and Their
Graphs
o 3.3: Properties of Logarithms
o 3.4: Exponential and Logarithmic
Equations
o 3.5: Exponential and Logarithmic
Models
Test
Unit 4: Trigonometry
o 4.1: Radian and Degree Measure
o 4.2: Trigonometric Functions: The Unit
Circle
o 4.3: Right Triangle Trigonometry
o 4.4: Trigonometric Functions of Any
Angle
Test
o 4.5: Graphs of Sine and Cosine
Functions
o 4.6: Graphs of Other Trigonometric
Functions
o 4.7: Inverse Trigonometric Functions
o 4.8: Applications and Models
Test
Semester 1 Final
Semester 2

Unit 5: Analytic Trigonometry
o 5.1: Using the Fundamental Identities
o 5.2: Verifying Trigonometric Identities
o 5.3: Solving Trigonometric Equations
o 5.4: Sum and Difference Formulas
o 5.5: Multiple-Angle and Product-toSum Formulas
Test

Unit 6: Additional Topics in Trigonometry
o 6.1: Law of Sines
o 6.2: Law of Cosines
o 6.3: Vectors in the Plane
o 6.4: Vectors and Dot Products
o 6.5: Trigonometric Form of a Complex
Number
Test

Unit 10: Topics in Analytic Geometry
o 10.6: Parametric Equations
o 10.7: Polar Coordinates
o 10.8: Graphs of Polar Equations
Test

Unit 9: Sequences, Series, and Probability
o 9.1: Sequences and Series
o 9.2: Arithmetic Sequences and Partial
Sums
o 9.3: Geometric Sequences and Series
o 9.5: The Binomial Theorem
Test

Limits and an Introduction to Calculus
(Unit 1 of AP-Calculus)
o A Preview of Calculus
o Finding Limits Graphically and
Numerically
o Evaluating Limits Analytically
o Continuity and One-Sided Limits
o Infinite Limits
Test

Derivatives
(Unit 2 of AP-Calculus)
o The Derivative and Tangent Line
o Basic Differentiation Rules and Rates
of Change
o Product and Quotient Rules and
Higher-Order Derivatives
o The Chain Rule
o Implicit Differentiation (if time)
Test

Semester 2 Final
For more in-depth information regarding this course go to: bssd.buildyourowncurriculum.com, and look up Pre-AP Calculus
Online Resources
CalcChat
www.calcchat.com
Odd answers for homework assignments are posted on this site. Choose our textbook and you
can look up all answers by section.
Larson Pre-Calculus Companion Site
http://www.larsonprecalculus.com/pcwl3e/
The LarsonPrecalculus.com companion site provides a robust selection of resources and tools to
assist you in your study of precalculus using Precalculus with Limits 3e by Ron Larson.
Resources on the site: study guides, worked out book examples, interactive activities, printable
graphs, and practice pre-tests and tests.
Twitter
@davisbsshs
I will post daily class updates and announcements here. This is also where you can ask me
questions about assignments. Just use the hashtag #PreAPCalc and mention @davisbsshs in the
tweet.
OneNote (Office365)
All notes and in class work will be posted to a class notebook in Office365. Everyone in class
will have access to this notebook through their Office365 accounts. All class notes will be in the
_Content Library section of the OneNote notebook. The _Collaboration Space section of the
class notebook may be used during the year for group collaboration. The section of the notebook
that has your name as the title is yours to use as you see fit (you can copy notes from the
collaboration space to this notebook, fill out your own notes, etc). OneNote can be downloaded
to your computer, to your tablet, or to your phone.
Khan Academy
https://www.khanacademy.org/
Online videos for many of the topics we will cover in this class. This is a great resource to use if
you are absent or if you need extra help with a topic.
For more in-depth information regarding this course go to: bssd.buildyourowncurriculum.com, and look up Pre-AP Calculus