Novato Unified School District
Course Description
ALGEBRA II
Course Title
Department or Discipline
History/Social Studies
Algebra II
English/Language Arts
Mathematics
School
Laboratory Science
Novato High School, San Marin High School,
Language other than English
Marin Oaks High School
Visual & Performing Arts (for 2003)
College Preparatory Elective:
District
Subject Area: __________________
Novato Unified School District
City
Novato, California 94945
Name of School Contact Person
Grade Level(s) for which course is
intended
Jan La Torre-Derby
10, 11, 12
Title/Position
Assistant Superintendent
Contact Information
Phone: (415) 897-4269
Fax: (415) 892-1622
E-mail: jderby@nusd.marin.k12.ca.us
Length of Course
Semester
Year
Other
Unit Value
0.5 (half year equivalent)
1.0 (one year equivalent)
2.0 (two year equivalent)
Other: _____________________
Seeking “Honors” distinction?
Yes
No
Was this course previously approved by UC?
Yes
No
If so, in what year?
Under what course title?
Date of School Board Approval
January 8, 2002
Pre-Requisites
Algebra 1 or 1B and Geometry with a grade of “C” or better.
Textbook Adopted
Algebra II, Authors: Smith, Charles, Publisher: Prentice Hall
Brief Course Description
The second year course in algebra reviews the ideas and concepts taught in Algebra 1 and then
begins a serious investigation of advanced algebraic concepts, including: quadratic equations,
systems of equations, complex numbers, conic sections, exponential and logarithmic functions,
matrices and determinants, probability and statistics and trigonomic functions.
1
COURSE CONTENT
(A)
Course goals:
1. Describe quantitative situations by means of algebraic expressions, equations, and
inequalities.
2. Develop “symbol sense” , a general fluency with using symbols to describe relationships
among quantities and to make generalizations.
3. Develop skill with advanced functions needed in advanced math and science courses. Such
functions include; polynomial, exponential, logarithmic, rational, and trigonometric
functions.
2
(B) Course objectives: Specific student learning objectives
Objectives
Standards
1.
Students will solve equations and
inequalities, including those containing
absolute value
Algebra 2-1.0
2.
Students will solve systems of equations and
inequalities, both linear and quadratic.
Students will write systems to save various
problems
Algebra 2-2.0
3.
Students will factor polynomials and use
factoring to solve polynomial equations
Algebra 2-4.0
4.
Students will apply basic operations to
rational expressions and solve rational
equations
Algebra 2-3.0, 7.0
5.
Students will work with radical expressions
in formulas and equations and work with
fractional exponents and complex numbers
Algebra 2-5.0, 6.0
6.
Students will graph quadratic functions and
solve quadratic equations
Algebra 2-8.0, 9.0, 10.0
7.
Students will graph equations of second
degree and analyze the geometric properties
of the conic sections graphed
Algebra 2-16.0,17.0
8.
Students will use exponential functions to
model real world data and understand the use
of the logarithmic function as the inverse of
the exponential
Algebra 2-11.0, 12.0, 13.0, 14.0
9.
Students will analyze sequences of numbers
with algebraic formulas, including arithmetic
and geometric sequences and series
Algebra 2-22.0, 23.0
10. Students will compute probabilities for
various events and will use permutations and
combinations to compute probabilities
Algebra 2-18.0, 19.0, 20.0
11. Students will use the trigonometric functions Trig 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 12.0, 19.0
to solve problems and will analyze the graphs
of the trig functions
3
Topics / Units / Themes
Objective 1
Objective 2
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Objective 3
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Objective 4
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Objective 5
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Key Activities / Assignments
Solve first degree polynomial equations
Solve equations containing absolute valve
Solve inequalities containing absolute value
Write equations and inequalities to solve problems
Solve systems of equations by the substitution
method
Solve systems of equations by the addition (linear
combination) method
Solve problems by using two variables and writing a
system of equations
Show solutions to systems of inequalities graphically
Recognize inconsistent and dependent systems
Multiplying polynomials, including squaring and
cubing binomials
Factoring binomials and trinomials, including the
sum and difference of two cubes
Using factoring and the zero product property to
solve polynomial equations
Add, subtract, multiply and divide rational
expressions
Long division algorithm for polynomials
Solving equations involving rational expressions
Simplifying complex rational expressions including
those containing negative exponents
Simplifying radical expressions
Expressing radical expressions using rational
exponent
Solving equations involving radical expressions
Evaluating formulas involving radicals
Express the square root of a negative number as a
number of form bi
Operations with complex numbers
Plotting complex numbers as points in the plane
4
Topics / Units / Themes
Objective 6
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Key Activities / Assignments
Express a quadratic function in the
a(x-h)2 = K form
Graph quadratic functions, identifying the intercepts
as the zeros
Solving quadratic equations by completing the square
Solving quadratic equations by the quadratic formula
Solve quadratic inequalities graphically
Objective 7
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Equation and graph of the parabola
Equation and graph of the ellipse
Equation and graph of the hyperbola
Equation and graph of the circle
Put the equation of the form ax2+by2+cx+dy+e=0 into
standard form and identify it as the equation of a
circle, eclipse, parabola, or hyperbola
Objective 8
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Use the exponential function to model exponential
growth
Log function as the inverse of the exponential
function
Laws of logarithms
Using logs to solve exponential equations
Common and natural logs
log x log x
b = 10 = lnx
log b
10 lnb
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Objective 9
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Objective 10
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Objective 11
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Formulas for finding he nth term and the sums of
arithmetic and geometric sequences and series
Using arithmetic and geometric series in problem
solving
Infinite geometric series
Binomial theorem
Fundamental counting principle
Permutations and combinations
Computing probabilities
Compound probability-dependent and independent
events
Experimental probability
Definitions of sin and cos functions using right
triangle and the unit circle
Using trig functions to solve right triangles
modifications of amplitude, period, and phase
Proving trigonometric identities
5
D.
Texts & Supplemental Instructional Materials
Algebra II
Authors: Smith, Charles
Publisher: Prentice Hall
E.
F.
G.
Instructional Methods and Strategies
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Lecture
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Teacher Facilitated discussions
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Cooperative learning groups
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Planned investigations
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Graphing calculation demonstrations
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Student practice problems
Assessment methods and/or tools
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Teacher designed tests
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Publisher tests
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Portfolio/notebook
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Homework
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Final exam
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Performance tasks assessed using rubrics
Assessment criteria
6