| OUTCOME/
ESSENTIAL
QUESTION |
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| How
can I model real problems with an equation? |
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Identify
relations and functions
Determine domain and range
Use algebra of functions correctly, including
composition
Find inverse functions
Use data to determine a linear or quadratic function
to model data
Graph Step and Piecewise functions
Solve application problems using these skills |
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Questions
and Answers in Class
Homework
Quizzes
Tests |
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| Is
there an easy way to graph functions? |
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Symmetry
Transformations, Reflections, Dilations
Linear Functions
Quadratic Functions
Other Polynomials
Rational Functions |
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Sketch
graphs using symmetry, transformations, etc
Write equations of parallel and perpendicular lines
Solve quadratic equation for all values
Solve polynomial equation by factoring or graphing
calculator
Solve linear and quadratic applications
Sketch graphs of rational functions
Analyze for asymptotes and intercepts |
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Questions
and Answers in Class
Homework
Quizzes
Tests |
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What
is trigonometry?
How can we define trig functions outside of a right
triangle? |
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Angles
in Degrees/Radians
Angular and Linear Velocity
Circular Functions
Evaluating the 6 Trig Functions
Fundamental Identities |
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Convert
radians to degrees and degrees to radians
Solve applications of angular and linear velocity
Use defintions of trig functions to find values of
functions
Develop unit circle-use to evaluate the 6 trig
functions
State the fundamental identities and use them to
simplify expressions
Prove other identities using the basic ones |
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Questions
and Answers in Class
Homework
Quizzes
Tests |
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| What
do the trig functions look like? |
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Graphs
of 6 Trig Functions
Inverses of the 6 Trig Functions |
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Be
able to graph basic functions
Identify period, amplitude, vertical shift, phase
shift
Use transformations to graph
Identify location of asymptotes
Identify domain and range
Identify correct graph from verbal model
Identify domain and range of inverses
Solve trig equations using calculator and inverse
functions
Solve applications of harmonic motion |
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Questions
and Answers in Class
Homework
Quizzes
Tests |
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| How
does trig help solve other real life problems? |
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Right
Triangles
Law of Sines
Law of Cosines
Area Formulas |
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Find
missing dimensions of right and oblique triangles
State Law of Sines/Cosines
Use in appropriate settings to solve applications
Recognize ambiguous case
Solve area problems |
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Questions
and Answers in Class
Homework
Quizzes
Tests |
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| How
can I use trig identities to solve more difficult
equations? |
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Trig
Identities
Double/Half Angle Formulas
Sum/Difference Formulas
Trig Equations |
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Use
sum/difference identities to evaluate functions
Use double/half angle formulas to evaluate functions
Solve trig equations by factoring, substitution,
quadratic methods |
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Questions
and Answers in Class
Homework
Quizzes
Tests |
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What
are fractional exponents?
How do I solve equations with a variable in
exponent? |
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Rational
Exponents
Logarithms
Exponential Equations
Growth and Decay
Base e |
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Evaluate/simplify
expressions with rational exponents
Write log expressions in condensed/expanded form
State domain/range of logarithmic and exponential
equations
Solve exponential/log equations
Use compound/continuous interest formulas to solve
problems
Solve problems with base e
Solve growth and decay application problems |
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Questions
and Answers in Class
Homework
Quizzes
Tests |
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Sequences
and Series Arithmetic and Geometric
Binomial Expansion Theorem |
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Find
missing parts of arithmetic/sequences/series
geometric
Express sequence in recursive or explicit formula
Calculate arith/geo means
Expand a binomial to an integral power
Find the nth term of binomial expansion
Calculate nPr and nCr |
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Questions
and Answers in Class
Homework
Quizzes
Tests |
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Polar
Form of Complex Numbers
Polar Equations |
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Recognize
cartioids, limesons
Change from polar to rectangular and rectangular to
polar coordinates
Mult/divide polar complex numbers
Powers/roots polar complex numbers |
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Questions
and Answers in Class
Homework
Quizzes
Tests |
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