Syllabus
Platte
Canyon High School: Algebra 2
Instructor:
Debbi Marks
Fall,
2001
General Information
This
class meets every school day for 90 minutes from 12:55 to 2:22.
Instructor Information
Debbi
Marks
Platte
Canyon High School, Room 215
303-838-4642
Ext 219
email:
debbimarks@uswest.net
I
am available before school, after school and during 3rd period.
You may drop in or make an appointment to see me if you need extra help
or for any other reason.
Course Prerequisites
Algebra
1 and Geometry with a grade of “C” or better.
Textbook
Each
student may check out a book as a reference.
We will use the book occasionally and they will be available at those
times.
Objectives
This course is an academically challenging program that
has been designed with the following objectives:
•
To be able to work with functions represented graphically, numerically,
analytically or verbally and understand the connections among these
representations.
•
To be able to model problem situations with functions.
•
To read, analyze, and solve challenging problems.
•
To work and communicate effectively in groups.
•
To prepare for various standardized tests such as ACT, SAT and CSAP.
Classroom
Procedures and Grades
Instruction in the Algebra 2 will include a variety of
activities. Lecture and discussion,
calculator explorations, lab activities, and guided practice will all be used
regularly. Students are expected to
actively participate in all of these activities. Class discussion is important to assist understanding and to
build on the ideas of classmates.
Frequent tests and quizzes will be used to monitor the
progress of students. “Pop”
quizzes will be given regularly to ensure that students keep up with their work
and understanding. Most tests will
contain two section, one non-calculator and the other will be calculator active.
Grades will be based on the accumulation of points.
Homework will be worth 5 – 10 points for each assignment.
Quizzes range from 10 – 40 points.
Tests range from
60 – 145 points. Other
activities and assessments will be given points as well.
No late work will be accepted.
Materials
pencils, red grading pen, TI-83 or TI-83 Plus graphing
calculator, loose-leaf binder, notebook paper, graph paper
Calculators
A graphing calculator is essential for this class.
Each student may borrow a calculator each day that must be returned at
the end of the period. If students need to borrow a calculator overnight, checkout
can be arranged. We will be using
TI-83+ calculators throughout the course. If
you wish to purchase a calculator, one option is Wholesale Electronics
(1-800-880-9400). This company has them for sale for $95.00 and $6.00 for
shipping as of August 25, 2001. They
accept MC and VISA. Best Buy in
Denver has them for $84.00 plus tax as advertised in the paper.
Expectations
•
You
are expected to assume responsibility for your own learning.
You are expected to ask questions to clarify your understanding and to
enhance your learning experience.
•
You are expected to attend class and be on time.
•
All assignments must be turned in. All
homework is due the next day. Late
assignments will not receive credit but must be turned in.
•
Homework and tests must be done
in pencil. You will grade
your
homework with a different color pen.
•
You are expected to actively participate in classroom discussion and
activities.
•
Each student must bring their materials (paper, pencils, red pen, book,
calculator) to class each day to be prepared.
•
Each student is expected to keep and organized notebook with all of their
materials. This should be brought to class every day.
•
Any test grade of lower than a C must schedule a conference within the
next 24 hours to correct mistakes and relearn the material.
Course Objectives
I.
Introduction
A.
Numbers and Variables
1.
Identify number properties such as commutative,
associative, distributive, and inverse and identity
elements for addition and multiplication.
2.
Distinguish and use the appropriate notation for
natural
number, whole number, integer, rational and
real
number systems.
3.
Distinguish between exact values and estimated values of numbers.
(eg √2 and 1.41)
4.
Use formulas to find missing values.
5.
Convert from one set of units to another using conversion factors.
II.
Two Variable Statistics and Data Analysis
A.
Review material on linear functions and one variable data.
B.
Use variables in situations and experiments
1.
Experiments
a.
Design and conduct an experiment.
b.
Collect and analyze the data.
c.
Graph the data and find the graph of best fit.
2.
Collect and record data to the appropriate number of digits based on the
measuring instrument.
3.
Distinguish between accuracy and precision.
C.
Distinguish between functions and relations.
D.
Consider guideline and criteria for a best-fit line.
E.
Draw a best-fit line from data that is approximately linear
data.
F.
Find the slope of a line when given two points, the equation,
or a graph.
G.
Find the point-slope form of a linear equation given two
points.
H.
Write the equation of a line when given its graph or sufficient
information
about its graph.
I.
Analyze data pairs and determine which are independent values and which
are dependent values.
J.
Interpolate and extrapolate with a function and identify inherent
difficulties involved.
K.
Provide real-world meanings for values and variables of a function and
for answers obtained with the model.
L.
Calculate the median-median line as a model for a given data set without
using the built-in calculator routine.
M.
Calculate and use standard deviation of one variable data by hand and
using the calculator to describe variability of data.
N.
Stroop Experiment
III.
Quadratic
A.
Review material on absolute functions.
B.
Equations y = (x - r1)(x - r2) ;
y = ax2 +bx + c and
y = a(x - h)2 + k
1.
Analyze quadratic functions by equations, tables,
graphs, and situations.
2.
Solve quadratic equations algebraically.
3.
Analyze and explain the behaviors, transformations,
and general properties of quadratic functions from an
algebraic, graphic, and tabular approach.
C.
Find the intercepts, vertex (maximum or minimum) and the
axis of symmetry of any quadratic function given any of the
four representations.
D.
Determine the nature of the roots using the discriminant.
E.
Simplify radical expressions.
F.
Evaluate radical operations.
G.
Imaginary Numbers
1.
Discuss how imaginary numbers fit into our number
system.
2.
Find imaginary roots for quadratic functions and
discuss the interpretation of this in terms of the real
number graph of a quadratic function.
H.
Use function notation with quadratic functions.
I.
Identify the domain and range using appropriate number sets.
J.
Optimization Problems: Apple,
apartment, area with fixed perimeter.
K.
Building Problem: Find
surface area and volume.
L.
Vertical Motion Problems.
IV.
Root Functions
A.
Equation y = a(x - h)(1/n) + k
1.
Analyze root functions by equations, tables, graphs,
and situations.
2.
Solve root equations algebraically.
3.
Analyze and explain the behaviors, transformations,
and general properties of root functions from an
algebraic,
graphic, and tabular.
B.
Find the intercepts, point of inflection and/or endpoint of any root
function, given any of the four representations.
C.
Use function notation to find values of root functions.
D.
Recognize and convert root functions from fractional
exponents and radical form. (
or x1/3)
E.
Distinguish between exact values and estimated values of numbers.
(eg √2 and 1.41)
F.
Evaluate numbers with fractional exponents or in radical form.
G.
Marble Rolling Activity; Pendulum Activity.
H.
Use function notation with root functions.
I.
Identify the domain and range using appropriate number sets.
J.
Scientific Notation
1.
Recognize and convert between decimals and scientific notation.
2.
Multiply and divide numbers expressed in scientific notation.
K.
Rules of Exponents
1.
Add and subtract expressions containing exponents.
2.
Multiply
and divide expressions containing exponents.
3.
Raise expression containing exponents to powers.
V.
Inequalities and Systems of Equations
A.
Solve one variable linear and absolute value inequalities with
conjunctions and disjunctions.
B.
Solve two variable systems of equalities graphically and
algebraically, from equations and
situations and with matrices.
1.
Linear-linear
2.
Linear-quadratic
3.
Quadratic-quadratic
C.
Solve two variable systems of inequalities graphically
1.
Linear-linear
2.
Linear programming
D.
Add and subtract matrices.
E.
Multiply
matrices by a scalar.
F.
Find
the inverse matrix using the calculator.
G.
Multiply
matrices.
VI.
Power Functions [a(x – h)n
+ k or y = a(x – r1)(x – r2)(x – r3)…]
A.
Use real world examples, patterns, and finite differences (tables) to
identify cubic and power functions.
B.
Graphs, Tables, and Equations
1.
Graph power functions by paper-and- pencil, calculator, and/or computer.
2.
Solve problems involving power situations.
3.
Experiments (problem solving)
a.
Design and conduct an experiment.
b.
Collect and analyze the data.
c.
Graph the data and find the curve of best fit.
C.
“A”, Intercepts, Points of Inflection, and Symmetry
1.
Discuss “a” and rate of change for power
functions.
2.
Using graphs and tables, find the intercepts of
power
functions.
3.
Find the local minimum and/or local maximum and
the
point of inflection for a given power function;
discuss
the significance.
4.
Discuss symmetry around the point of inflection and/or the line of
symmetry for power functions.
5.
Discuss odd and even symmetry.
D.
Power Equations and Functions
1.
Derive power functions from graphs and tables.
2.
Analyze power functions from equations, tables and
graphs.
3.
Find the zeros graphically and the roots algebraically.
D.
Analyze and explain the behaviors, transformations, and
general properties of power functions from an algebraic,
graphic, and tabular approach.
F.
Compare and contrast power functions with the previously learned
functions.
E.
Find and recognize the relationship between a power function and its
inverse.
H.
Use function notation with power functions.
I. Identify the
domain and range using appropriate number
sets.
VII.
Rational Functions
A.
Use real world examples and patterns to identify rational
functions.
B.
Graphs, Tables, and Equations
1.
Graph rational functions by paper-and-pencil,
calculator, and/or computer.
2.
Solve problems involving rational situations.
3.
Experiments (problem solving)
a.
Design and conduct an experiment.
b.
Collect and analyze the data.
c.
Graph the data and find the curve of best fit.
4.
Discuss exponent rules, complex fractions and
clearing fractions.
C.
“A”, Intercepts, Asymptotes, and Symmetry
1.
Discuss “a” and rate of change for rational functions.
2.
Using graphs and tables, find the intercepts of
rational
functions.
3.
Discuss symmetry for rational functions.
4.
Discuss asymptotes and limits and their impact on domain and range.
D.
Rational Equations and Functions
1.
Derive rational functions from graphs, tables, and
situations.
2.
Analyze rational functions from equations, graphs,
tables, and situations.
3.
Find the zeros graphically and the roots algebraically.
4.
Identify rational equations as inverse variations.
5.
Recognize the different forms (proper and improper) of
rational equations and convert (long divide or
multiply) between
them.
E.
Analyze and explain the behaviors, transformations, and
general properties of rational functions from algebraic,
graphic, and tabular approach.
F.
Systems of equations
1.
Linear and Rational
a.
Solve systems of linear and rational equations
graphically.
b.
Solve systems of linear and rational equations algebraically.
2.
Quadratic and Rational
a.
Solve systems of quadratic and rational equations graphically.
b.
Solve systems of quadratic and rational equations algebraically.
G.
Compare and contrast rational functions with previously learned
functions.
Web Site
I
have created a web site that has an Algebra 2 section and links to useful sites.
The web site is located at
https://plattecanyonms.tripod.com/
and the algebra section can be found under my name.