EPPING HIGH SCHOOL
COURSE SYLLABUS
Course Title:
Course
Description
District
Competencies
for Learning
District Skills
Competencies
for Learning
Precalculus
This course is designed for college bound Juniors and Seniors who have very strong
math skills and interest. The course is designed to prepare students for calculus.
The course covers a brief review of essential Algebra II skills, then moves into
standard precalculus topics including linear, quadratic, polynomial and
trigonometric functions.
Students will understand concepts and demonstrate ability to transfer skills across
content areas and apply concepts and skills to real-life situation.
Problem Solving – Students will demonstrate the ability to make sense of problems
and persevere in solving them, plan solutions, apply a variety of appropriate
strategies, build new knowledge, solve practical “real world” problems, and check
for reasonableness of results.
Reasoning & Proof – Students will demonstrate the ability to reason abstractly and
quantitatively, construct viable arguments and proofs, make and investigate
conjectures, and critique the reasoning of others.
Communication & Representation – Students will demonstrate the ability to
communicate to others using clear definitions and symbolic representations,
perform calculations, organize and manipulate mathematical symbols accurately
and efficiently, and express numerical answers with precision.
Mathematical Modeling – Students will demonstrate the ability to identify
important quantities in practical situations, map their relationships using a variety of
representations, and analyze those relationships mathematically to draw
conclusions.
Students will become a:
Collaborator – Students will understand that respect, collaboration, and leadership
are critical to interacting and working effectively with others.
Communicator – Students will demonstrate the ability to communicate clearly using
the most appropriate and effective means.
Contributor – Students will demonstrate the ability to contribute toward a better
world through community service, acceptance and tolerance of diverse people, and
responsibility for the environment.
Evaluator – Students will demonstrate the ability to access, evaluate, use, and
manage information.
Learner – Students will demonstrate the ability to be flexible, adaptable, and
accountable throughout the learning process.
Producer – Students will demonstrate the ability to manage projects, produce
results, and create media products.
The Epping High School community educates and empowers students within a safe environment to
become Respectful, Involved, and Knowledgeable citizens.
EPPING HIGH SCHOOL
COURSE SYLLABUS
School Based
Course
Competency
Statements
(CCS linked to
DCL)
Units of Study
Technology User – Students will demonstrate the ability to use technology
respectfully and apply it effectively.
Thinker – Students will demonstrate the ability to think critically, creatively, and
systemically to define and solve problems.
1. The student will understand and demonstrate the ability to simplify and evaluate
expressions involving rational exponents and radicals, factor and perform
operations on polynomials and apply that knowledge to real world problems.
Concepts and Procedures, Communicating Reasoning, Problem Solving, Modeling
and Data Analysis.
2. The student will understand and demonstrate the ability to perform operations
on rational expressions, solve equations and inequalities involving polynomials,
radicals and absolute values and apply that knowledge to real world problems.
Concepts and Procedures, Communicating Reasoning, Problem Solving, Modeling
and Data Analysis
3. The student will understand and demonstrate the ability to recognize and
identify characteristics of functions, create functions in both equation and graphical
form, and apply that knowledge to real world problems. Concepts and Procedures,
Communicating Reasoning, Problem Solving, Modeling and Data Analysis
4. The student will understand and demonstrate the ability to identify
characteristics and find zeroes of quadratic, polynomial and rational functions, and
to use those functions to find maximum and minimum quantities as well as model
and solve real world problems. Concepts and Procedures, Communicating
Reasoning, Problem Solving, Modeling and Data Analysis
5. The student will understand and demonstrate the ability to identify
characteristics of exponential and logarithmic functions, use laws of logarithms to
simplify expressions and solve equations, and solve real world problems involving
exponential growth and decay. Concepts and Procedures, Communicating
Reasoning, Problem Solving, Modeling and Data Analysis
6. The student will understand and demonstrate the ability to graph, evaluate and
identify characteristics of trigonometric functions, find missing sides and angles,
solve trigonometric equations, use trigonometric functions to model periodic
phenomena, and solve real world problems. Concepts and Procedures,
Communicating Reasoning, Problem Solving, Modeling and Data Analysis
7. The student will understand and demonstrate the ability to solve systems of
equations graphically and algebraically, and use systems of equations to solve real
world problems. Concepts and Procedures, Communicating Reasoning, Problem
Solving, Modeling and Data Analysis
1.
Algebra
The Epping High School community educates and empowers students within a safe environment to
become Respectful, Involved, and Knowledgeable citizens.
EPPING HIGH SCHOOL
COURSE SYLLABUS
Course Unit
Content and
Skills
Functions and Graphs
Polynomial and Rational Functions
Exponential and Logarithmic Functions
Trigonometry
Systems of Equations
I. Exponents, Radicals, Polynomials and Factoring
1. Evaluate and simplify expressions involving exponents.
2. Write equivalent expressions using radicals or rational exponents.
3. Simplify and combine radical expressions.
4. Rationalize denominators.
5. Perform operations on polynomials.
6. Factor polynomials.
II.
1.
2.
3.
4.
5.
Rational Expressions, Solving Equations and Inequalities
Simplify and perform operations on rational expressions.
Find the domain of rational expressions.
Solve linear equations.
Solve polynomial equations by factoring or quadratic formula.
Solve and graph linear and absolute value equations and inequalities.
III.
1.
2.
3.
4.
Functions and Graphs
Identify functions and relations.
Write and use linear models to solve real world problems.
Use transformations to graph functions.
Combine functions and find their inverses.
IV.
1.
2.
3.
Polynomial and Rational Functions
Write and use polynomial and rational models to solve real world problems.
Find zeroes of polynomial and rational functions.
Graph polynomial and rational functions.
V.
1.
2.
3.
Exponential and Logarithmic Functions
Write and use exponential and logarithmic models to solve real world problems.
Use properties of logarithms to solve equations.
Graph logarithmic and exponential functions.
VI. Trigonometric Functions
1. Convert degrees and radians.
2. Solve and apply right triangles.
The Epping High School community educates and empowers students within a safe environment to
become Respectful, Involved, and Knowledgeable citizens.
EPPING HIGH SCHOOL
COURSE SYLLABUS
3.
4.
5.
6.
7.
8.
Find trigonometric function values for any angle.
Graph trigonometric functions.
Write and use trigonometric models to solve real world problems.
Prove trigonometric identities.
Solve trigonometric equations.
Solve non-right triangles using the laws of sines and cosines.
Instructional
Strategies
VII. Systems of Equations
1. Solve and use linear systems of equations to solve real world problems.
2. Identify and sketch the conic sections.
3. Solve nonlinear systems of equations algebraically and graphically.
Individual and group learning through lecture, discussions, question and answer,
discovering, demonstrations, research, and investigation.
Assessment
Strategies
Approved
Revised
Homework recitation, in class questions discussions and surveys, quizzes, unit tests,
projects, midterms and finals.
February 2012
June 2013
The Epping High School community educates and empowers students within a safe environment to
become Respectful, Involved, and Knowledgeable citizens.