EPPING HIGH SCHOOL
ALGEBRA 2 COURSE SYLLABUS
Course Title:
Course
Description
Algebra 2
This course is designed to be the third year of high school mathematics. The
material covered is roughly equivalent to that covered in the first Algebra
course in college. Students successfully completing Algebra II will be well
prepared for any of the next three high school math courses. Major topics
include mathematical modeling, linear functions, exponential functions,
quadratic functions, logarithmic functions, radical functions, polynomial and
radical functions, and solving systems of equations. Students are required to
maintain a comprehensive three ring notebook. TI 84 graphing calculators
are used extensively and students are expected to master this technology.
Students are strongly urged to have their own. Prerequisite: Algebra I (C or
better), Geometry (C or better)
Students and teachers will collaborate on students learning to:
District
Competencies
in Content Area
Problem Solving: Students can solve a range of well-posed problems in
pure and applied mathematics, making productive use of knowledge and
problem solving strategies.
Communicating Reasoning: Students can clearly and precisely construct
viable arguments to support their own reasoning and to critique the reasoning
of others.
Concepts and Procedures: Students can explain and apply mathematical
concepts and interpret and carry out mathematical procedures with precision
and fluency.
Mathematical Modeling: Students can analyze complex, real-world
scenarios and can construct and use mathematical models to interpret and
solve problems.
Students and teachers will collaborate on students becoming a:
District
Competencies
in and across
Content Areas
Learner – Demonstrate flexibility, adaptability, and accountability throughout
the learning process.
Communicator – Communicate clearly using the most appropriate and
effective means.
Thinker – Think critically, creatively, and systemically to define and solve
problems.
Collaborator – Demonstrate respect, collaboration, and leadership in working
with others.
Contributor – Demonstrate global pride through community service,
acceptance and tolerance of diverse people, and responsibility for the
environment.
The Epping High School community educates and empowers students within a safe environment to
become Respectful, Involved, and Knowledgeable citizens.
EPPING HIGH SCHOOL
ALGEBRA 2 COURSE SYLLABUS
Technology User – Use technology respectfully and apply it effectively.
Evaluator – Access, evaluate, use, and manage information.
Producer – Manage projects, produce results, and create media products.
School Based
Course
Competency
Statements
1. Students will understand that one of the keys to solving problems lies
in the understanding of basic skills such as simplifying algebraic
expressions and solving equations and inequalities. Problem Solving,
Communicating Reasoning, Concepts and Procedures, Mathematical
Modeling
2. Students will understand that linear functions can be used to model
relationships between many real-world quantities. Problem Solving,
Communicating Reasoning, Concepts and Procedures, Mathematical
Modeling
3. Students will understand that systems of linear equations and
inequalities can be used to model real-world situations in which many
different conditions must be met. Problem Solving, Communicating
Reasoning, Concepts and Procedures, Mathematical Modeling
4. Students will understand that quadratic functions can be used to
model some non-linear behaviors. Problem Solving, Communicating
Reasoning, Concepts and Procedures, Mathematical Modeling
5. Students will understand that operations can be used to simplify
polynomial expressions, solve polynomial equations, and graph
polynomial functions Problem Solving, Communicating Reasoning,
Concepts and Procedures, Mathematical Modeling
6. Students will understand that operations can be used to simplify
radical expressions, solve radical equations, and graph radical
functions. Problem Solving, Communicating Reasoning, Concepts and
Procedures
7. Students will understand that rational expressions can be simplified
and rational equations can be solved by applying previously learned
rules of operations with fractions in conjunction with properties of
exponents and operations with polynomials. Problem Solving,
Communicating Reasoning, Concepts and Procedures
8. Students will understand that exponential and logarithmic functions
model growth and decay. Problem Solving, Communicating Reasoning,
Concepts and Procedures, Mathematical Modeling
The Epping High School community educates and empowers students within a safe environment to
become Respectful, Involved, and Knowledgeable citizens.
EPPING HIGH SCHOOL
ALGEBRA 2 COURSE SYLLABUS
Course Units
First Degree Equations and Inequalities
Linear Relations and Functions
Systems of Linear Equations
Quadratic Functions and Equations
Polynomial Functions and Equations
Radical Functions and Equations
Rational Expressions and Equations
Exponential and Logarithmic Functions and Equations
Course Unit
Content and
Skills
Students will be able to solve first degree equations and inequalities.
1. Simplify and evaluate algebraic expressions.
2. Understand properties of Real numbers.
3. Solve and graph linear equations.
4. Solve and graph linear inequalities.
5. Solve absolute value equations
6. Solve and graph compound and absolute value inequalities.
Students will be able to write, graph, and analyze linear relations and
functions.
1. Analyze and graph functions.
2. Find functional values.
3. Identify, write and graph linear equations in standard form.
4. Find the slope of a line.
5. Understand the relationship between parallel and perpendicular lines.
6. Write and graph linear equations in slope-intercept form.
7. Draw scatterplots and identify the line of best fit and use it to make
predictions.
8. Use the graphing calculator to perform a linear regression.
9. Graph absolute value functions.
10. Graph linear inequalities.
Students will be able to write and solve systems of linear equations and
inequalities.
1. Solve systems of linear equations by graphing.
The Epping High School community educates and empowers students within a safe environment to
become Respectful, Involved, and Knowledgeable citizens.
EPPING HIGH SCHOOL
ALGEBRA 2 COURSE SYLLABUS
2.
3.
4.
5.
6.
Solve systems of linear equations using substitution.
Solve systems of linear equations using elimination.
Solve real-world problems using systems of equations.
Solve systems of inequalities by graphing.
Determine the coordinates of the vertices of a region formed by the
graph of a system of inequalities.
7. Find the maximum and minimum values of a function over a region.
8. Use linear programming to solve real-world problems.
9. Solve systems of linear equations in three variables.
10. Solve real-world problems using systems of linear equations in three
variables.
Students will be able to analyze and graph quadratic functions and solve
quadratic equations.
1. Graph quadratic functions.
2. Find and interpret the maximum and minimum values of a quadratic
function.
3. Understand the relationship between zeros of a quadratic function and
solutions to the related equation.
4. Solve quadratic equations by factoring.
5. Simplify square roots.
6. Perform operations with imaginary and complex numbers.
7. Solve quadratic equations by completing the square.
8. Solve quadratic equations using the quadratic formula.
Students will be able to perform operations on polynomial expressions, solve
polynomial equations, and graph polynomial functions.
1. Use properties of exponents to multiply and divide monomials.
2. Add, subtract, and multiply polynomials.
3. Divide polynomials with long division.
4. Divide polynomials with synthetic division.
5. Analyze the graphs of polynomial functions.
6. Factor polynomials.
7. Solve polynomial equations by factoring.
8. Find the zeros of a polynomial function.
Students will be able to perform operations on radical expressions, solve
The Epping High School community educates and empowers students within a safe environment to
become Respectful, Involved, and Knowledgeable citizens.
EPPING HIGH SCHOOL
ALGEBRA 2 COURSE SYLLABUS
radical equations, and graph radical functions.
1. Find the sum, difference, product, and quotient of functions.
2. Find the composition of functions.
3. Find the inverse of a function or relation.
4. Graph and analyze square root functions.
5. Simplify radicals.
6. Add, subtract, multiply, and divide radical expressions.
7. Solve equations containing radicals.
Students will be able to perform operations on rational expressions and solve
rational equations.
1. Add and subtract rational expressions with monomial denominators.
2. Add and subtract rational expressions with polynomial denominators.
3. Multiply and divide rational expressions with monomial denominators.
4. Multiply and divide rational expressions with polynomial denominators.
5. Solve rational equations.
Students will be able to graph exponential and logarithmic functions and
solve exponential and logarithmic equations.
1. Graph and analyze exponential functions.
2. Solve exponential equations.
3. Evaluate logarithmic expressions.
4. Solve equations using the properties of logarithms.
5. Solve exponential equations using common logs.
6. Evaluate expressions involving natural base and logarithms.
7. Use logarithms to solve real-world problems using exponential growth
and decay.
Instructional
Strategies
Individual and group learning through lecture, discussions, demonstrations,
research, and investigation.
Clear
Articulation of
Instructional
Strategies
Assessment
Strategies
Homework, class participation, quizzes, unit tests, projects, midterms and
finals
The Epping High School community educates and empowers students within a safe environment to
become Respectful, Involved, and Knowledgeable citizens.
EPPING HIGH SCHOOL
ALGEBRA 2 COURSE SYLLABUS
Approved
Revised
6/24/14
The Epping High School community educates and empowers students within a safe environment to
become Respectful, Involved, and Knowledgeable citizens.