Chapter 7 – Applications of Integration

Tuesday, Feb. 16

7.1 7.1 Area of a Region Between Two Curves:  Applications of Integration.

By the end of this lesson, you should

• realize that the definite integral gives net area under a curve
• set up integrals to find total area “under” a curve
• use both/either dx and/or dy to find total area
• Sign up to bring food for the food labs!!! Find the area of a region between two curves using integration.
• Find the area of a region between intersecting curves using integration.
• Describe integration as an accumulation process.

Activity:  PowerPoint 7.1 Area and lots of it! 

Homework:  Read and take notes on 7.1 and do p. 452 #1-20.

Wednesday, Feb. 17

7.1 Area of a Region Between Two Curves:

Gateway Test - Integral Formulas
(20 minutes)

Applications of Integration.  (cont.)
Homework:  Do p. 452 #21, 24, 27, 30, 39, 42, 43, 47, 48, 50, 52, 54, 60

 Thursday, Feb. 18

7.1 Area of a Region Between Two Curves:  Quiz Today!
Applications of Integration. (cont.)
Activity: Spring Has Sprung I

Homework:  Do p. 453 #68, 69, 71 - 74, 76, 90-93    

Friday, Feb. 19

Quiz over 7-1

Monday, Feb. 22

No school – Parent/Student/Teacher Conferences

Tuesday,
Feb. 23

Volumes of solids of known cross-sections

1^st Hour – Lab ?

3^rd Hour – Lab ?

 Sketchpad/Playdough Lab

• Identify the shape of a cross-section of a solid

Find the volume of a solid with known cross-sections
Homework:  Read p. 461-462 (Solids with Known Cross Sections) and do the Worksheet (due 2/26)

Wednesday,
Feb. 24

Day 2:  Volumes of solids of known cross-sections
Sketchpad/Playdough Lab

1^st Hour – Lab ?
3^rd Hour – Lab ?
 

Homework:  Finish the lab and the worksheet (due 2/26)

Thursday, Feb. 25

Hostess Cupcake Day!  (Volume with disks)

Section 7-2:  Volume:  the Disk Method

• Find the volume of a solid of revolution using the disk method

Activities:  

• Spring Has Sprung II
• Food Lab1

Homework:  Read p. 456 – 458 (The disk method),  complete your Cupcake Food lab, and do p. 463 #1-4, 7-9

Friday, Feb. 26
Donut Day!  (Volume with washers)
 Volumes with known cross-sections Lab Due Today

Section 7-2:  (cont.) 

Volume:  the Washer Method

• Determine whether the volume of a solid of revolution would be best found using the disk or washer method
• Find the volume of a solid of revolution using the disk method
• Find the volume of a solid of revolution using the washer method

Activity:   Food Lab 2

Homework:   Read p. 459 – 461 (The washer method), complete your Donut Food lab, and do p. 463 # 5, 6, 11-15, 18, 19, 21, and 23

Mon., March 1

Mixed Practice:  Section 7-2
Activity: Spring Has Sprung III
Homework: Worksheet #3
Project:  Build a Model - due Monday., 3/8

Tuesday, March 2

Angel Food Cake Day!

Section 7-3:   

Volume:  the Shell Method

• Find the volume of a solid of revolution using the shell method.
• Compare the uses of the disk/washer method and the shell method.

Activity:   Food Lab
Flashlight Reflector Problem - due Thursday, 3/4

Homework:   Read and take notes on p. 467 - 471
and do Worksheet #4 and p. 472 # 19, 20, 25, and 27

Wed., March 3

Activity:  Models are due today!
                   Spring Has Sprung IV

Homework:   Take Home Exam - due Wed., 3/5

Thursday, March 4

Flashlight Reflector Problem due today
Activity: Spring Has Sprung V

Friday., March 5

in class TEST – Chapter 7 
(take-home test due today!)

HW:  Model due Monday!