Download Unit 5

“CALCULUS” – **UNIT 5: Concepts of Integration
High School Mathematics
“Calculus: Graphical, Numerical, Algebraic”
Target Time Frame: OPTIONAL MATERIAL
STANDARD
A. Recognizing definite integrals as a
summation (Reimann Sum) and as the
area under a curve (geometric) using
rectangular/trapezoidal approximations.
B. Find antiderivatives, apply basic
integration formulas, and find distance
and velocity functions from initial
conditions.
C. Understand and apply the concepts and
properties of definite integrals including
the Fundamental Theorem .
D. Solve simple first order differential
equations, recognize and graph slope
fields, and apply first order differential
equations to growth and decay
problems.
E. Integrate functions using u-substitution
and integration by parts.
ESSENTIAL
QUESTION
What is a definite
integral?
DEPTH for
MASTERY
ALL
Sections
COMMENTS
5.1, 5.2, 5.5
*This Unit is Optional
for non AP Calculus.
These topics will be
covered if time allows.
How do you solve an
initial value
problem?
ALL
6.1
How do you calculate
a definite integral?
ALL
5.3, 5.4
How can differential
equations be used to
solve real-world
problems?
ALL
6.1, 6.2, 6.4
How can you
integrate functions
using u-substitution
and integration by
parts?
ALL
6.2, 6.3