Course Syllabus - Algebra 2 HH - Montclair Public Schools

MONTCLAIR PUBLIC SCHOOLS
Department of Instruction
Course Syllabus
NAME OF COURSE: Algebra 2 High Honors
GRADE(S): 9 th , 11 th
LENGTH OF COURSE: Full Year Course
CREDITS: 5 credits
COURSE DESCRIPTION:
Algebra 2 HH is a course for ninth graders who have completed Algebra 1 High Honors
with an A average, or for 11 th graders who have maintained an A average in both Algebra
1 HH and Geometry HH. It is a fast pace, rigorous course designed to prepare students
for Trig-Calc.
Algebra 2 is the second course in the branch of mathematics concerning the study of the
rules of operations and relations, and the constructions and concepts arising from them,
including terms, polynomials, equations and algebraic structures.
TEXTBOOK:
Glencoe Algebra 2, The McGraw-Hill Companies, Inc. (1998)
SUPPLEMENTARY INSTRUCTIONAL MATERIAL:
N/A
UNITS OF STUDY:
• Analyzing Equations and Inequalities
• Graphing Linear Functions
• Solving Systems of Linear Equations and Inequalities
• Exploring Polynomials and Radical Expressions
• Exploring Quadratic Function and Inequalities
• Analyzing Conic Sections
• Exploring Polynomial Functions
• Exploring Rational Expressions
• Exploring Exponential and Logarithmic Functions
• Summation Notation and the Binomial Theorem.
If time allows:
• Use of Matrices and/or Investigating Discrete Mathematics and Probabilities
PROFICIENCIES:
At the conclusion of the course the student will be able to:
• Evaluate expressions and solve linear equations and inequalities including those
involving compound sentences and absolute value
• Identify relations versus functions and graph them together with inequalities on a
coordinate plane
Department of Instruction 1

MONTCLAIR PUBLIC SCHOOLS
Department of Instruction
Course Syllabus
• Solve system of equations (and inequalities) in two and three variables. Use linear
programming to find maximum and minimums of a function.
• Simplify expressions containing polynomials, radicals, complex numbers and
rational exponents. Factoring polynomials and solving equations containing
radicals
• Solve and graph quadratic equations. Analyze graphs quadratic functions and
inequalities
• Find the distance between and the midpoint of two points on a coordinate plane.
Write the equation of and graph the conic sections. Solve systems of conic
sections equations and inequalities
• Find the factors and zeros of and graph polynomial functions. Approximate real
zeros. Find compositions of functions and their inverses.
• Solve and graph rational equations. Solve problems involving direct, inverse and
joint variations. Simplify rational expressions.
• Simplify expressions and solve equations involving real exponents and
logarithms. Find common and natural logarithms and antilogarithms. Solve
equations with variable exponents using logarithms.
• Find the sum of arithmetic series using summation notation. Understand the use
of factorials. Use Pascal’s triangle and the binomial theorem to expand a
binomial.
• Perform operations with matrices. Use matrices to solve systems of equations.
• Solve problems involving permutations and combinations. Find the probability of
events.
FIELD TRIPS & GUEST SPEAKERS:
N/A
EVALUATION AND ASSESSMENT:
• Tests: 60%
• Quizzes 30%
• Homework 10%
NEW JERSEY CORE CURRICULUM CONTENT STANDARD ALIGNMENT:
Refer interested parents to curriculum maps.
Department of Instruction 2