Unit 4:
Definite Integrals
Objectives: Evaluate a definite integral using limits.
Evaluate a definite integral using the properties of
definite integrals.
Essential Questions: How do definite integrals relate to
area under a curve? Explain the relation
Unit 4:
Sigma Notation
Objectives: Use sigma notation to write and evaluate a
sum.
Essential Questions: What does sigma notation
represent?
Sigma Notation
In other words, a sigma gives you information to find the sum of
certain terms starting at one
Unit 2:
Differentiation
Objectives: Distinguish between functions written in
implicit form and explicit forms. Use implicit
differentiation to find the derivative of a function.
Essential Questions: When would implicit differentiation
be most helpful
Unit 3: Concavity &
Second Derivative Test
Objectives: Determine the intervals on which a function
is concave upward or concave downward. Find any
points of inflection of the graph of a function. Apply the
Second Derivative Test to find relative extrem
Unit 3:
Optimization
Objectives: Solve applied minimum and maximum
problems.
Essential Questions: What does the First Derivative Test
have to do with Optimization? Does the process of
finding minimums and maximums change for application
problems? Ho
Unit 2:
Differentiation
Objectives:
Use your understanding of the Chain Rule and Implicit
Differentiation to find a Related Rate. Demonstrate your
understanding of Related Rates by solving real-life
problems, including those in AP format.
Essential
Unit 2:
Differentiation
Objectives: Find a higher order derivative of a function.
Understand the relationship between position, velocity,
and acceleration.
Essential Questions: How does a higher order derivative
help with our understanding of Physics
Unit 2:
Differentiation
Objectives: Find the derivative of a function using the
Product Rule and Quotient Rule. Find the derivative of
a trigonometric function.
Essential Questions: Can derivative rules be combined
to solve a complex derivative?
Rev
Lines in the Plane
&
Functions
Objec&ves: Find the slope of a line and write linear
equa&ons for that line. Decide whether a rela&on
between two variables represents a func&on and nd
the domain. Evaluate dierence
Chapter 4:
Radians, Degrees, &
the Unit Circle
Objectives: Use radian and degree measure for angles,
and be able to convert between them. Use angles to
model and solve real-life problems. Evaluate
trigonometric functions using the unit circle. Use
do
Unit 3:
Rolles Theorem &
Mean Value Theorem
Objectives:
Understand and use Rolles Theorem and the Mean
Value Theorem.
Essential Questions:
What are the similarities and differences between
Rolles Theorem and Mean Value Theorem? When
does each apply?
Unit 3:
Extrema on an Interval
Objectives:
Understand the definitions of extrema of a function on
an interval and relative extrema on an open interval.
Find extrema on a closed interval.
Essential Questions:
How do extrema relate to derivatives? What
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