Rebecca Nash
Calculus
Chapter 5 Unit Plan
Chapter 5: Integration
Day Section
Objective (s)
Homework
1
5.1
PowerPoint
Picture, quote, or
significant achievement
2
5.4/5.5
Game
Estimating Area
 History of Archimedes
 Circle based on inscribed polygons
 Left-side, right-side, and centered
curve estimation
Definition
 sigma notation/summations
 open form/closed form
 Partitions
Notation
Summation properties
3
5.1
Lecture &
work time
Display and Discuss Archimedes
Find area by making polygons of area
 Recognize that the derivative of
the area is the function of the line
4
5.2
Activity
5
5.2
Work
stations
5.3
Flipped
classroom
Define Antiderivative
Notation
Addition and subtraction
Simple Antiderivatives
 Constants
 exponents
Using the table of integrals
Initial value to find constant
Integral curves
U-Substitution
Pg. 321 (14-16) Graph,
estimate using right, left
or centered rectangles
from [0,3] with n=1, find
actual area with stated
lengths, show that the
derivative of the area is
the function of the line
Pg. 330 (5,8,9,12-14)
6
Pg. 350 (1-6, 11-14, 1718)
Pg. 330 (23-26,43-44, 5354, 61-64)
Pg. 338-340 (1-4, 15-30,
69-74)
7
8
Quiz/intro
to 5.5
5.5
Group work
activity
9
5.6
Lecture &
work time
10
5.6
Lecture &
work time
11
Review for
5.1-5.6
Test on 5.15.6
12
Quiz
Intro to Riemann
Display and Discuss Riemann
Notation
 From A to B
 B to A is the negative of A to B
 Constants
 Addition and subtraction
Fundamental theorem of Calculus
 Point b – Point a
 Definite integral is a bounded
indefinite integral
Mean Theorem
 Divide integral by (b-a) to get mean
 Mean multiplied by (b-a) is the
area
Fundamental Theorem of Calculus
 Derivative of integral is the original
function
 Integral of derivative gives rate of
change
Jeopardy Review
Picture, quote, or
significant achievement
Pg. 360 (13-14, 19-22)
Pg. 373 (1-3, 5-8, 13-18)
Pg. 374-375 (57-60, 6364)