HolcombMath

Monday, March 09, 2009

Geometry (Class 58)

Announcements
Test Friday- Using Congruent Triangles

Lesson Title
Similar Triangles (1)

Overview
The students have a construction puzzle to work for the opener. The remaining time is focused on understanding and being able to use similar triangles.
Textbook Sections
§8.4 (Txt. p. 480) Similar Triangles

Vocabulary
construction
straight edge
arc
radius
center
diameter
adjacent
opposite
included
non-included
SSS
ASA
SAS
AAS
HL

Key Attitudes
Math is about building up understanding one idea at a time.

Key Ideas
Triangles can be constructed out of various combinations of angles and sides.
Only some combinations of angles and sides guarantee that all triangle created with this combination will be congruent-- the same size and the same shape. Other combinations only guarantee triangles which are the same shape, and some combinations guarantee nothing at all!
Triangles which are the same shape always have some key attributes.
Key Skills
I can identify key angle and side combinations which force triangles to be congruent.
I can identify and sequence the reasons which establish triangle congruence.
I can use congruent triangles to prove other facts.
I can use a straight edge and compass to construct geometric shapes.
Turn-In (#57)
Txt. p.258 #1-3, 7-9, 13-15, 22, 23, 37, 38

Handouts
CST Review

Assignment
Txt. p.258 #16-18, 24-27, 39-42
Chapter 4- Lesson 4
CST Review
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.

Sunday, March 08, 2009

Intro to Calc- Test 6A with solutions

Here is a copy of Test 6A (mistakenly labeled 7A) with solutions. Test 6A with Solutions

Friday, March 06, 2009

Intro to Calculus (Class 59)

Lesson Title
Circular Functions (12)

Overview
Test Today! After the test students may work on Sangaku 13 or other assignments that they need to finish.
Textbook Sections
N/A

Vocabulary
radian
central angle
terminal side
circumference
rotation
circular function
sine
cosine
tangent
cosecant
secant
cotangent

Key Attitudes
Math is about using what you know to create something new.

Key Ideas
An identity is an equation which is true for all values of the variable.
You can determine if an equation is an identity by graphing the two sides of the equation separately. If these are the same graphs, then its an identity.
Key Skills
I can simplify an expression involving trigonometric functions.
I can verify that an trigonometric equation is an identity by using a graphing calculator.
I can prove that an trigonometric equation is an identity by using algebra.
I can solve trigonometric equations including ones which require substitution.
Turn-In (#58)
Finish Workshop 18

Handouts
Sangaku 13

Assignment
Workshop 19
Sangaku 13
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.

Thursday, March 05, 2009

Geometry (Class 57)

Lesson Title
Using Congruent Triangles (3)

Overview
During the opener today students will continue to work on the CST practice. In addition, students will solve another construction puzzle involving circumscribing a triangle. The lesson for the day continues with either finishing our work with using congruent triangles to prove other facts or with our initial work with triangles which are the same shape, but not necessarily the same size-- similar triangles.
Textbook Sections
§4.6 (Txt. p.236) Isosceles, Equilateral, and Right Triangles

Vocabulary
construction
straight edge
arc
radius
center
diameter
adjacent
opposite
included
non-included
SSS
ASA
SAS
AAS
HL

Key Attitudes
Math is about building up understanding one idea at a time.

Key Ideas
Triangles can be constructed out of various combinations of angles and sides.
Only some combinations of angles and sides guarantee that all triangle created with this combination will be congruent-- the same size and the same shape. Other combinations only guarantee triangles which are the same shape, and some combinations guarantee nothing at all!
Triangles which are the same shape always have some key attributes.
Key Skills
I can identify key angle and side combinations which force triangles to be congruent.
I can identify and sequence the reasons which establish triangle congruence.
I can use congruent triangles to prove other facts.
I can use a straight edge and compass to construct geometric shapes.
Turn-In (#56)
Txt. p. 55 #9-20

Handouts
CST Review

Assignment
Txt. p.258 #1-3, 7-9, 13-15, 22, 23, 37, 38
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.

Wednesday, March 04, 2009

Intro to Calculus (Class 58)

Announcements
Test Friday focusing on circular functions but will also have some logarithms!

Lesson Title
Circular Functions (11)

Overview
Today’s class continues to focus on working problems involving angles of rotation and their relationship to coordinates. There is a test next class focused on these concepts as well as on logarithms.
Textbook Sections
N/A

Vocabulary
radian
central angle
terminal side
circumference
rotation
circular function
sine
cosine
tangent
cosecant
secant
cotangent

Key Attitudes
Math is about using what you know to create something new.

Key Ideas
An identity is an equation which is true for all values of the variable.
You can determine if an equation is an identity by graphing the two sides of the equation separately. If these are the same graphs, then its an identity.
Key Skills
I can simplify an expression involving trigonometric functions.
I can verify that an trigonometric equation is an identity by using a graphing calculator.
I can prove that an trigonometric equation is an identity by using algebra.
I can solve trigonometric equations including ones which require substitution.
Turn-In (#57)
Workshop 18

Handouts
Workshop 19

Assignment
Finish Workshop 18
Workshop 19 #TBA
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.

Tuesday, March 03, 2009

Geometry (Class 56)

Lesson Title
Using Congruent Triangles (2)

Overview
For the opener today students will continue working on the CST review that was started last class. We will then work towards wrapping up our initial work with using congruent triangles and move towards working with similar triangles.
Textbook Sections
§4.6 (Txt. p.236) Isosceles, Equilateral, and Right Triangles

Vocabulary
construction
straight edge
arc
radius
center
diameter
adjacent
opposite
included
non-included
SSS
ASA
SAS
AAS
HL

Key Attitudes
Math is about building up understanding one idea at a time.

Key Ideas
A factor answers the question “How many of these are in this”?
Triangles can be constructed out of various combinations of angles and sides.
Only some combinations of angles and sides guarantee that all triangle created with this combination will be congruent-- the same size and the same shape. Other combinations only guarantee triangles which are the same shape, and some combinations guarantee nothing at all!
When multiplying two expressions, if the bases are the same the exponents need to be added.
Key Skills
I can identify key angle and side combinations which force triangles to be congruent.
I can identify and sequence the reasons which establish triangle congruence.
I can use congruent triangles to prove other facts.
I can use a straight edge and compass to construct geometric shapes.
Turn-In (#55)
Opener: Algebra Word Problems- How does a fish…

Handouts
CST Review

Assignment
Txt. p. 55 #9-20
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.

Monday, March 02, 2009

Intro to Calculus (Class 57)

Announcements
Test Friday focusing on circular functions but will also have some logarithms!

Lesson Title
Circular Functions (10)

Overview
The first 30 minutes of the class has been set aside for students to put finishing touches on the work that is due today. Students then will work on Workshop 18 as part of the preparation for the Test on Friday which will focus on Circular Functions, but will also contain problems involving logarithms.
Textbook Sections
N/A

Vocabulary
radian
central angle
terminal side
circumference
rotation
circular function
sine
cosine
tangent
cosecant
secant
cotangent

Key Attitudes
Math is about using what you know to create something new.

Key Ideas
An identity is an equation which is true for all values of the variable.
You can determine if an equation is an identity by graphing the two sides of the equation separately. If these are the same graphs, then its an identity.
Key Skills
I can simplify an expression involving trigonometric functions.
I can verify that an trigonometric equation is an identity by using a graphing calculator.
I can prove that an trigonometric equation is an identity by using algebra.
I can solve trigonometric equations including ones which require substitution.
Turn-In (#56)
Sangaku 12
Workshop 17
Homework 19
All are due 30 minutes into class-- students may use that 30 minutes to tie up any loose ends.

Handouts
Workshop 18

Assignment
Workshop 18
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.