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Pre-calculus

As a result of home and
classroom study, the students
at the termination of this
course will demonstrate the
following knowledge and
skills:
   
OUTCOMES ACTIVITIES ASSESSSMENT
Demonstrate knowledge of the
basic properties of functions in
order to apply this knowledge
to analyze and graph different
types of functions
1.Determine if a relation is a function
2.Find the domain and range of a function.
3.Find the intercepts of a function algebraically.
4.Add, subtract, multiple, and divide functions and
determine the domain of the resulting functions.
5.Use the graph of a function to identify domain and
range, intervals of increase and decrease, relative
extrema, and intercepts.
1. Hand-in assignments.
2. In-class problems.
3. In-class tests.
Use the built-in graphing
capabilities of a graphing
calculator in order to graph and
analyze functions
1.Graph functions.
2.Adjust the graphing window to obtain a complete
graph.
3.Use ZOOM and TRACE appropriately.
4.Use TABLE and TBLSET appropriately.
5.Use other features such as ‘zero’, ‘minimum’,
‘maximum’, and ‘intersect’ appropriately.
1. Hand-in assignments.
2. In-class problems.
3. In-class tests.
Review and deepen
understanding of linear
functions
1.Identify linear functions from a table of values
2.Find the equation of a linear function given certain
information.
3.Model real-world applications using linear
functions.
4.Fit a linear function to a table of data.
1. Hand-in assignments.
2. In-class problems.
3. In-class tests.
Perform operations on functions 1.Use vertical and horizontal shifts, vertical and
horizontal reflections, and vertical stretching and
shrinking to graph functions
2.Graph piecewise functions.
3.Evaluate the sum, difference, product, quotient,
and composition of functions
4.Evaluate and graph the inverse of a function.
1. Hand-in assignments.
2. In-class problems.
3. In-class tests.
Recognize and analyze
polynomial functions.
1.Categorize functions as linear, quadratic,
exponential, or polynomial from their graphs.
2.Find the domain range and graph of rational
functions.
1. Hand-in assignments.
2. In-class problems.
3. In-class tests.
Use logarithmic and
exponential functions to model
real-world situations
1.Calculate logarithms with base 10, base e, and an
arbitrary base.
2.Graph logarithmic functions and their inverses, the
exponential functions.
3.Use the graphing calculator to solve application
problems, including growth and decay.
1. Hand-in assignments.
2. In-class problems.
3. In-class tests.
Demonstrate an understanding
of the six trigonometric functions
1.Calculate the six trigonometric functions of an
acute angle in a right triangle.
2.Identify the period and amplitude of general
trigonometric functions.
3.Graph trigonometric functions.
4.Derive basic trigonometric identities from the
Pythagorean Theorem.
5.Use the Law of Sines and the Law of Cosines to
solve for the missing parts of a triangle.
6.Solve related application problems.
1. Hand-in assignments.
2. In-class problems.
3. In-class tests.