HolcombMath

Wednesday, October 10, 2007

Algebra (Class 15)

Announcements
Test Friday covering classes 11-15.

Overview
In today’s class we continue to work with graphing calculators, learning how to determine proper window and table settings. In addition we work on writing the equation for a situation from a description or from the graph. The concepts of slope and the y-intercept become very important.
Textbook Sections
§8-3 (Txt. p.360) Slope of a Line

Vocabulary
slope
y-intercept

Key Attitudes
Math is about investigating and confirming

Key Ideas
The slope can be determined from the graph.
The coefficient of x in the equation, y=mx+b, is the slope of the line.
The y-intercept can be determined from the graph.
The y-intercept is the “b” in the equation of a line written as y=mx+b.

Key Skills
Finding the equation of a line from verbal descriptions or from the graph of the line.

Turn-In (#14)
Txt. p.110 51, 52
Txt. p.105 #6, 7

Handouts
No Handouts Posted

Assignment
Skill Builder 2
§3-2 (Txt. p.105) #8, 9
§3-3 (Txt. p.110) #53, 54
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, October 09, 2007

Geometry (Class 15)

Announcements
Test corrections are due for all students-- even if you didn’t take the test! In that case, just work the test and it will count as corrections.

Overview
Test 2 is returned today and we discuss and start our corrections in class. In addition we continue to improve our ability to write proofs. If time permits we will add another construction.
Textbook Sections
§3.3 (Txt. p.143) Parallel Lines and Transversals

Key Attitudes
Math is about reasoning and justifying.

Key Ideas
Proofs can be thought of as a game. The game pieces are the geometric facts we have been given, or have proved, and the game rules are the rules of logic.

Key Skills
Writing two column fill in the blank proofs.

Turn-In (#14)
Chapter 2- Lesson 3: The Game of Proof (including text problems which have not been assigned.)

Handouts
No Handouts Posted

Assignment
Additional Worksheet for Proof Practice #1-7
Txt. p.134 #43-46
Txt. p.141 #29-36
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, October 08, 2007

Algebra (Class 14)

Announcements
Test Friday covering classes 11-15.

Overview
In today’s class we will practice subtracting mixed numbers, continue our work solving balance problems, and learn more about using graphing to help us interpret and analyze linear functions.
Textbook Sections
§8-3 (Txt. p.360) Slope of a Line

Vocabulary
equation editor
table editor
window editor
table set
∆
x-min
x-max
y-min
y-max
scale
zoom standard

Key Attitudes
Math is about investigating and confirming

Key Ideas
Linear equations involve two parts-- the money in the bank, “b”, and the money you put away each month, “m”.
The rate at which a person is saving can be found from the graph.
The amount of money the person started with can be found from the graph.

Key Skills
Solving unknown weight problems by using substitution and elimination.
Creating graphs from Input/Output tables using a graphing calculator.
Adjusting the viewing window of a graphing calculator.

Turn-In (#13)
§3-2 (Txt. p.104) #29-40
§3-2 (Txt. p.105) #1-5
§3-3 (Txt. p.110) #47-50

Handouts
No Handouts Posted

Assignment
Skill Builder 1C
Txt. p.110 51, 52
Txt. p.105 #6, 7
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.

Friday, October 05, 2007

Geometry (Class 14)

Announcements
Test today covering classes 9 to 13.

Overview
In today’s class we continue on with our efforts for mastering the process of writing two column proofs. It is good to continue to think about proofs as a game where the game pieces are the facts we know and the game rules are the rules of logic. Remain patient with yourselves, and remain persistent-- you will get the hang of this!

In addition to our work with proofs we will take Test 2 covering classes 9-13 with a focus on missing angle puzzles and logic puzzles.
Textbook Sections
§2.6 (Txt. p.109) Proving Statements about Angles

Key Attitudes
Math is about reasoning and justifying.

Key Ideas
A compass is used to measure distances.
Two intersecting arcs can be used to determine the position of a point.
Proofs can be thought of as a game. The game pieces are the geometric facts we have been given, or have proved, and the game rules are the rules of logic.

Key Skills
Writing two column fill in the blank proofs.

Turn-In (#13)
p. 107 #31-35, 37, 40
p. 113 #12-17, 18-20
p.143 #43-46
Chapter 2- Lesson 2: Missing Angle Puzzles

Handouts
No Handouts Posted

Assignment
Finish Chapter 2- Lesson 3: The Game of Proof (including text problems which have not been assigned.)
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, October 04, 2007

Algebra (Class 13)

Overview
In today’s class we continue our work with linear functions. We learn how to use a graphing calculator to enter an equation, create a table, adjust the table to show the desired range of data, create a graph, and adjust the graph to show the desired range of data.
Textbook Sections
§8-3 (Txt. p.360) Slope of a Line

Vocabulary
equation editor
table editor
window editor
table set
∆
x-min
x-max
y-min
y-max
scale
zoom standard

Key Attitudes
Math is about investigating and confirming

Key Ideas
A graphing calculator can help you create a table and graph.

Key Skills
Creating Input/Output tables when given a rule.(Week 12: SP3-SP10)
Writing an equation for the Input/Output rule using algebraic notation.(Week 12: SP3-SP10)
Creating graphs from Input/Output tables. (Week 12: SP3-SP10)

Turn-In (#12)
§3-2 (Txt. p.104) #13-28
Test Corrections

Handouts
No Handouts Posted

Assignment
§3-2 (Txt. p.104) #29-40
§3-2 (Txt. p.105) #1-5
§3-3 (Txt. p.110) #47-50
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, October 03, 2007

Geometry (Class 13)

Announcements
Test Friday covering classes 9 to 14.

Overview
In today’s class we continue practicing writing two column proofs. We also practice dividing a line segment by construction and review solutions to missing angle puzzle 7 and 8. You can find a tutorial for the construction we worked on today at http://www.mathopenref.com/constdividesegment.html
Textbook Sections
§2.6 (Txt. p.109) Proving Statements about Angles

Key Attitudes
Math is about reasoning and justifying.

Key Ideas
A compass is used to measure distances.
Two intersecting arcs can be used to determine the position of a point.
Proofs can be thought of as a game. The game pieces are the geometric facts we have been given, or have proved, and the game rules are the rules of logic.

Key Skills
Dividing a line into n pieces by construction.
Writing two column fill in the blank proofs.

Turn-In (#12)
Missing Angle Puzzle 8
§2.5 (Txt. p.105) #4, 7 -14, 16, 21, 22
Txt. p.124 #30, 31, 40, 41

Handouts
No Handouts Posted

Assignment
Practice Proof 1 from the end of Chapter 2- Lesson 3
p. 107 #31-35, 37, 40
p. 113 #12-17, 18-20
p.143 #43-46
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, October 02, 2007

Algebra (Class 12)

Overview
In today’s class we correct our test from Friday and continue to work with creating tables and graphs of linear equations. The concept of a “conversion graph” is introduced.
Textbook Sections
§3-5 (Txt. p.116) Equations with the Variable on Both Sides

Key Attitudes
Math is about investigating and confirming

Key Ideas

Key Skills
Solving a balance problem involving grouping symbols using both pictures and algebraic notation. (Week 11-SP10-SP12)
Creating Input/Output tables when given a rule.(Week 12: SP3-SP10)
Writing an equation for the Input/Output rule using algebraic notation.(Week 12: SP3-SP10)
Creating graphs from Input/Output tables. (Week 12: SP3-SP10)

Turn-In (#11)
§3-5 (Txt. p.118) #1-24

Handouts
No Handouts Posted

Assignment
Test Corrections
Skill Builder 1B
§3-2 (Txt. p.104) #13-28
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, October 01, 2007

Geometry (Class 12)

Announcements
Test Friday covering classes 9 to 14.

Overview
In today’s class we review the four constructions we have learned and add another-- dividing a line segment. A tutorial for this can be found at http://www.mathopenref.com/constdividesegment.html
We also continue our work on Chapter 2- Lesson 3-- developing our ability to write proofs.
Textbook Sections
§2.6 (Txt. p.109) Proving Statements about Angles

Key Attitudes
Math is about reasoning and justifying.

Key Ideas
A compass is used to measure distances.
Two intersecting arcs can be used to determine the position of a point.
Proofs can be thought of as a game. The game pieces are the geometric facts we have been given, or have proved, and the game rules are the rules of logic.

Key Skills
Dividing a line into n pieces by construction.
Writing two column fill in the blank proofs.

Turn-In (#11)
Txt. p.93 #30-35, 45-50, 52-54
Txt. p.133 #6-9, 21-26, 41,42

Handouts
No Handouts Posted

Assignment
Finish Chapter 2- Lesson 3
Missing Angle Puzzle 8
§2.5 (Txt. p.105) #4, 7, 8-14, 16, 21, 22
Txt. p.124 #30, 31, 40, 41
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.