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H. S. Home
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H. S. Departments
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Questions
are encouraged. You may contact me
by email.
If
something is not clear, it is important
you ask.
Required
Text:
Algebra
1, 2000 Edition,
by Ron Larson pub. by McDougal
Littell Publishers (2000).
The Need
for Mathematics in a Changing World
We live
in a time of extraordinary and
accelerating change. New knowledge,
tools, and ways of doing and
communicating mathematics continue to
emerge and evolve. Calculators, too
expensive for common use in the early
eighties, now are not only commonplace
and inexpensive but vastly more
powerful. Quantitative information
available to limited numbers of people a
few years ago is now widely disseminated
through popular media outlets (National
Council of Teachers of Mathematics 2000)
.
Course goals:
(1)
Develop fluency in basic computational
and procedural
skills, an understanding
of mathematical concepts,
and the ability to use mathematical
reasoning to solve mathematical
problems, including recognizing
and solving routine problems
readily and finding ways to reach
a solution or goal when no routine
path is apparent, (2) Communicate
precisely about quantities, logical
relationships, and unknown values
through the use of signs,
symbols, models, graphs, and mathematical
terms, (3) Develop logical thinking in
order to analyze
evidence and build arguments to
support or refute hypotheses, (4) Make
connections among mathematical ideas
and between mathematics and
other disciplines, (5) Apply mathematics
to everyday life and
develop an interest in pursuing advanced
studies in mathematics and in
a wide array of mathematically related
career choices (California
Department of Education, 2001), and
(6) Develop an appreciation for the
beauty and power
of mathematics. It
is well known that California students
lag behind students in other states and
nations in their mastery of mathematics (Reese
et al. 1997; Beaton et al. 1996).
Class: There will be five one hour lectures per week. Occasional
guests and video presentations will help
us to get out of the classroom. NOTE: material covered
will come from several sources,
including but not exclusively from the
texts. You are responsible for all
readings, lectures, note taking, and
guest/video/slide presentations that
will be included in exams.
Grading: Grades will be
based on 2 mid-term exams (100 pts.
each), 1 cumulative final exam (200
pts.), and "laboratory"
(100pts) for a total of 500 pts. Grades
will be based on the percentage of total
points accumulated: A (88
-100%), B (75-87%), C (65-74%), etc.
There may be an adjustment (curve) to
everyone's grades if the highest scores
are lower than expected and these higher
scores merit an A grade.
Exams: You are responsible
for attending the scheduled exams:
there are no make-up or
rescheduled exams. Exams will consist of
multiple choice, matching, and fill-in-the-blank types of
questions. There will also be a few short answer or essay type questions. As
with all of my exams, there may be an
opportunity to earn extra-credit (but
don't expect it to work miracles for your grade if you are not doing well).
Special
Note: If you are absent the
day of an exam or on the due date of an
assignment or project you are required
to request a make-up test the day of
your return or submit the late
assignment on the day of your return.
The teacher reserves the right to
administer the make-up on that day
or the day following the re-admit.
SCHEDULE: (Subject to
change depending upon rate of progress)
|
WEEK
|
LECTURE
TOPIC(S) |
READ
(Chapter/sections) |
| 26
Feb - 2 Mar |
State
Buy Back Days
Pupil free day |
|
| 5
March |
Enroll
Students
Class Orientation
Review Algebra 1A
Issue Textbooks |
|
| 12
March |
6.1
Using Properties of
Exponents
At the end of this
lesson, you will be
able to:
Use
properties of
exponents to
evaluate and
simplify expressions
involving powers.
Use exponents and
scientific notation
to solve real-life
problems.
6.2
Evaluating and
Graphing Polynomial
Functions
At the end of this
lesson, you will be
able to:
Evaluate
a polynomial
function.
Graph a polynomial
function.
6.3
Adding, Subtracting,
and Multiplying
Polynomials
At the end of this
lesson, you will be
able to:
Add,
subtract, and
multiply
polynomials.
Use polynomial
operations in
real-life problems.
|
|
| 19
March |
6.4
Factoring
and
Solving
Polynomial
Equations
At
the
end
of
this
lesson,
you
will
be
able
to:
Factor
polynomial
expressions.
Use
factoring
to
solve
polynomial
equations.
6.5
The
Remainder
and
Factor
Theorems
At
the
end
of
this
lesson,
you
will
be
able
to:
Divide
polynomials
and
relate
the
result
to
the
remainder
theorem
and
the
factor
theorem.
Use
polynomial
division
in
real-life
problems.
6.6
Finding
Rational
Zeros
At
the
end
of
this
lesson,
you
will
be
able
to:
Find
the
rational
zeros
of
polynomial
function.
Use
polynomial
equations
to
solve
real-life
problems. |
|
|
| 26
March |
6.7
Using
the
Fundamental
Theorem
of
Algebra
At
the
end
of
this
lesson,
you
will
be
able
to:
Use
the
fundamental
theorem
of
algebra
to
determine
the
number
of
zeros
of a
polynomial
function.
Use
technology
to
approximate
the
real
zeros
of a
polynomial
function.
6.8
Analyzing
Graphs
of
Polynomial
Functions
At
the
end
of
this
lesson,
you
will
be
able
to:
Analyze
the
graph
of a
polynomial
function.
Use
the
graph
of a
polynomial
function
to
answer
questions
about
real-life
situations.
6.9
Modeling
with
Polynomial
Functions
At
the
end
of
this
lesson,
you
will
be
able
to:
Use
finite
differences
to
determine
the
degree
of a
polynomial
function
that
will
fit a
set
of
data.
Use
technology
to
find
polynomial
models
for
real-life
data. |
|
|
| 2
April |
7.1 nth
Roots and Rational
Exponents
At the end of this
lesson, you will be able
to:
Evaluate nth
roots of real numbers
using both radical
notation and rational
exponent notation.
Use nth roots to
solve real-life problems.
7.2
Properties of Rational
Exponents
At the end of this
lesson, you will be able
to:
Use
properties of rational
exponents to evaluate and
simplify expressions.
Use properties of
rational exponents to
solve real-life problems.
7.3
Power Functions and
Function Operations
At the end of this
lesson, you will be able
to:
Perform
operations with functions
including power
functions.
Use power functions and
function operations to
solve real-life problems. |
|
| 9
April |
7.3
Power Functions and
Function Operations
At the end of this
lesson, you will be able
to:
Perform
operations with functions
including power
functions.
Use power functions and
function operations to
solve real-life problems.
7.4
Inverse Functions
At the end of this
lesson, you will be able
to:
Find
inverses of linear
functions.
Find inverses of
nonlinear functions.
7.5
Graphing Square Root and
Cube Root Functions
At the end of this
lesson, you will be able
to:
Graph
square root and cube root
functions.
Use square root and cube
root functions to find
real-life quantities. |
|
| 16
April |
7.6
Solving
Radical
Equations
At
the
end
of
this
lesson,
you
will
be
able
to:
Solve
equations
that
contain
radicals
or
rational
exponents.
Use
radical
equations
to
solve
real-life
problems.
7.7
Statistics
and
Statistical
Graphs
At
the
end
of
this
lesson,
you
will
be
able
to:
Use
measures
of
central
tendency
and
measures
of
dispersion
to
describe
data
sets.
Use
box-and-whisker
plots
and
histograms
to
represent
data
graphically. |
|
|
| 23
April |
*****
Midterm Exam **************
8.1
Exponential Growth
At the end of this lesson, you
will be able to:
Graph
exponential growth functions.
Use exponential growth
functions to model real-life
situations.
8.2
Exponential Decay
At the end of this lesson, you
will be able to:
Graph
exponential decay functions.
Use exponential decay
functions to model real-life
situations.
8.3 The
Number e
At the end of this lesson,
you will be able to:
Use the number e
as the base of exponential
functions.
Use the natural base e in
real-life situations.
8.4
Logarithmic Functions
At the end of this lesson, you
will be able to:
Evaluate
logarithmic functions.
Graph logarithmic functions.
|
|
| 30
April |
8.4
Logarithmic
Functions
At
the
end
of
this
lesson,
you
will
be
able
to:
8.5
Properties
of
Logarithms
At
the
end
of
this
lesson,
you
will
be
able
to:
Use
properties
of
logarithms.
Use
properties
of
logarithms
to
solve
real-life
problems.
8.6
Solving
Exponential
and
Logarithmic
Equations
At
the
end
of
this
lesson,
you
will
be
able
to:
Solve
exponential
equations.
Solve
logarithmic
equations. |
|
|
| 7
May |
8.7
Modeling
with
Exponential
and
Power
Functions
At
the
end
of
this
lesson,
you
will
be
able
to:
Model
data
with
exponential
functions.
Model
data
with
power
functions.
8.8
Logistic
Growth
Functions
At
the
end
of
this
lesson,
you
will
be
able
to:
Evaluate
and
graph
logistic
growth
functions.
Use
logistic
growth
functions
to
model
real-life
situations. |
|
|
| 14
May |
9.1
Inverse and Joint
Variation
At the end of this
lesson, you will be able
to:
Write and
use inverse variation
models.
Write and use joint
variation models.
9.2
Graphing Simple Rational
Functions
At the end of this
lesson, you will be able
to:
Graph
simple rational
functions.
Use the graph of a
rational function to
solve real-life problems.
9.3
Graphing General Rational
Functions
At the end of this
lesson, you will be able
to:
Graph
general rational
functions.
Use the graph of a
rational function to
solve real-life problems.
9.4
Multiplying and Dividing
Rational Expressions
At the end of this
lesson, you will be able
to:
Multiply
and divide rational
expressions.
Use rational expressions
to model real-life
quantities. |
|
| 21
May |
9.5
Addition, Subtraction,
and Complex Fractions
At the end of this
lesson, you will be able
to:
Add and
subtract rational
expressions.
Simplify complex
fractions.
9.6
Solving Rational
Equations
At the end of this
lesson, you will be able
to:
Solve
rational equations.
Use rational equations to
solve real-life problems.
Ch. 10
Quadratic Relations and
Conic Sections
10.1
The Distance and Midpoint
Formulas
At the end of this
lesson, you will be able
to:
Find the
distance between two
points and find the
midpoint of the line
segment joining two
points.
Use the
distance and midpoint
formulas in real-life
situations. |
|
| 28
May |
10.1
The Distance and Midpoint
Formulas
At the end of this
lesson, you will be able
to:
Find the
distance between two
points and find the
midpoint of the line
segment joining two
points.
Use the
distance and midpoint
formulas in real-life
situations.
10.2
Parabolas
At the end of this
lesson, you will be able
to:
Graph and
write equations of
parabolas.
Use parabolas to solve
real-life problems.
10.3
Circles
At the end of this
lesson, you will be able
to:
Graph and
write equations of
circles.
Use circles to solve
real-life problems. |
|
| 4
Jun |
10.4
Solving Polynomial
Equations in Factored
Form
At the end of this
lesson, you will be able
to:
Graph and
write equations of
ellipses.
Use ellipses in real-life
situations.
10.5
Hyperbolas
At the end of this
lesson, you will be able
to:
Graph and
write equations of
hyperbolas.
Use hyperbolas to solve
real-life problems.
10.6
Graphing and Classifying
Conics
At the end of this
lesson, you will be able
to:
Write and
graph an equation of a
parabola with its vertex
at (h, k) and an
equation of a circle,
ellipse, or hyperbola
with its center at (h,
k).
Classify a conic using
its equation. |
|
| 11
Jun |
10.6
Graphing and Classifying
Conics
At the end of this
lesson, you will be able
to:
Write and
graph an equation of a
parabola with its vertex
at (h, k) and an
equation of a circle,
ellipse, or hyperbola
with its center at (h,
k).
Classify a conic using
its equation.
10.7
Solving Quadratic Systems
At the end of this
lesson, you will be able
to:
Solve
systems of quadratic
equations.
Use quadratic systems to
solve real-life problems. |
|
| 18
June |
Cumulative
Review Chapters 6 - 10 |
|
| 25
Jun |
********Final
Exam************ |
|
**NOTE** The final exam is cumulative
and will cover the entire semester.
GOOD LUCK!!!!
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