HolcombMath

Thursday, April 29, 2010

HL (Class 77)

Lesson Title
Lesson 32: How do I remove a hole?

Overview
In today’s lesson students explore solids of revolution where using disks would be impossible since the solid has a hole!
Textbook Sections

Vocabulary
function
independent variable
dependent variable
with respect to
rate of change
limit
derivative
explicit equation
implicit equation

Key Attitudes
Willingness to work as a group to help meet individual and group goals.

Enduring Understandings
Changes in various parameters have specific effects on graphs of parent functions in the coordinate plane.

Essential Question
How can you find the volume of a solid?
What’s a “solid of revolution” and why is that distinction important?
How can you use integration to find the volume of a solid of revolution?

Key Knowledge
In some cases it is helpful to use washers to find the volume of a solid.
The volume of a washer can be determined by finding the volume of the disk and then subtracting the volume of the whole.
The volume of a disk is calculated in the same manner as the volume of a cylinder.

Key Skills
I can determine when it is appropriate to use washers to find the volume of a solid of revolution.
I can determine the volume of a solid of revolution by using washers.

Turn-In (#-1)
Finish Lesson Summary, ODE 2, PS 31 and any previous problems you have not finished.

Handouts
No Handouts Posted

Assignment
PS 32 and any previous unfinished work.
Disclaimer- The assignment as stated in class is the official assignment. Every effort is made to keep this posting accurate, but you should refer to what was stated in class as the final word.

SL (Class 77)

Lesson Title
Lesson 32: How do I remove a hole? (2)

Overview
In today’s class we continue working with solids of revolution first finishing up dealing with solids which have a hole, and then working with revolutions about lines other than the axes.
Textbook Sections

Vocabulary
function
independent variable
dependent variable
with respect to
rate of change
limit
derivative
difference quotient
derivative from first principals

Key Attitudes
Willingness to work as a group to help meet individual and group goals.

Enduring Understandings
Changes in various parameters have specific effects on graphs of parent functions in the coordinate plane.

Essential Question
How can you find the volume of a solid?
What’s a “solid of revolution” and why is that distinction important?
How can you use integration to find the volume of a solid of revolution?

Key Knowledge
In some cases it is helpful to use washers to find the volume of a solid.
The volume of a washer can be determined by finding the volume of the disk and then subtracting the volume of the whole.
The volume of a disk is calculated in the same manner as the volume of a cylinder.

Key Skills
I can determine when it is appropriate to use washers to find the volume of a solid of revolution.
I can determine the volume of a solid of revolution by using washers.

Turn-In (#-1)
§ (Txt. p.)

Handouts
No Handouts Posted

Assignment
PS 32 and previous problem sets
Disclaimer- The assignment as stated in class is the official assignment. Every effort is made to keep this posting accurate, but you should refer to what was stated in class as the final word.

Math 6 (Class 154)

Lesson Title
Investigation 1: Using Percents

Overview
In today’s lesson students work towards solidifying their understanding of fractions.
Textbook Sections
Problem 1.3 (Txt. p.9) Finding Bargains

Vocabulary
tiling
regular polygon
polygon
pentagon
hexagon
octagon
angle ruler
precisely
vertex

Key Attitudes
Willingness to work as a group to help meet individual and group goals.

Enduring Understandings
Changes in various parameters have specific effects on graphs of parent functions in the coordinate plane.

Essential Question
What makes an estimate reasonable?
What makes an answer exact?
What makes a strategy both effective and efficient?

Key Knowledge
A sale price can be expressed as a percent discount.

Key Skills
I can compute a final price of an item including a discount and sales tax.
I can use my calculating skills to compare different “bargains”.

Turn-In (#-1)
ACE p.12 #31, 32, 33

Handouts
No Handouts Posted

Assignment
No Homework
Disclaimer- The assignment as stated in class is the official assignment. Every effort is made to keep this posting accurate, but you should refer to what was stated in class as the final word.

Math 7 (Class 154)

Lesson Title
Investigation 1: Using Percents

Overview
In today’s lesson students work towards solidifying their understanding of fractions.
Textbook Sections
Problem 1.3 (Txt. p.9) Finding Bargains

Vocabulary
tiling
regular polygon
polygon
pentagon
hexagon
octagon
angle ruler
precisely
vertex

Key Attitudes
Willingness to work as a group to help meet individual and group goals.

Enduring Understandings
Changes in various parameters have specific effects on graphs of parent functions in the coordinate plane.

Essential Question
What makes an estimate reasonable?
What makes an answer exact?
What makes a strategy both effective and efficient?

Key Knowledge
A sale price can be expressed as a percent discount.

Key Skills
I can compute a final price of an item including a discount and sales tax.
I can use my calculating skills to compare different “bargains”.

Turn-In (#-1)
ACE p.12 #31, 32, 33

Handouts
No Handouts Posted

Assignment
No Homework
Disclaimer- The assignment as stated in class is the official assignment. Every effort is made to keep this posting accurate, but you should refer to what was stated in class as the final word.