Algebra I:
We took Chapter 8 test on Friday.
Due Monday - Page 454 All (Chapter 9 readiness)
Trig: Section 1.7 exercises plus graphing handout due Monday
Pre-Calc - Review using Chapter 11 Quiz and Chapter Review. Test is Tuesday.
Calc - Review using Chapter 7 Sample Test and Chapter Review. Do the Practice AP test. Test on Tuesday/Wednesday.
Go PCHS Girls BB!!!
Friday, February 27, 2009
Thursday, February 26, 2009
Tuesday, February 24, 2009
Algebra I:
Section 8.8, odd problems, due Wednesday
Test is coming on Friday. Therefore, you should do Chapter Test 8 and Chapter Review from the book before class on Thursday. That way you can ask intelligent questions on Thursday about the test and get plenty of sleep Thursday evening.
Calculus:
Odd exercises Section 7.4
Handed out 2 page list of formulas to memorize. Get 1 bonus point for copying these by hand and handing in Wednesday, Feb 25.
Expect to cover 7.5 on Thursday, and receive practice test.
Friday - do practice test and review
Monday - review
Tuesday/Wednesday - Test planned.
Pre-Calculus:
odd exercises, Section 11.6
Plan is to do 11.7 remainder of week, test on Tuesday.
Trig:
Exercises 1.6 due Wed.
Plan section 1.7 Wed/Thur
Section 1.8 Friday
Review Monday
Test probably on Tuesday
Section 8.8, odd problems, due Wednesday
Test is coming on Friday. Therefore, you should do Chapter Test 8 and Chapter Review from the book before class on Thursday. That way you can ask intelligent questions on Thursday about the test and get plenty of sleep Thursday evening.
Calculus:
Odd exercises Section 7.4
Handed out 2 page list of formulas to memorize. Get 1 bonus point for copying these by hand and handing in Wednesday, Feb 25.
Expect to cover 7.5 on Thursday, and receive practice test.
Friday - do practice test and review
Monday - review
Tuesday/Wednesday - Test planned.
Pre-Calculus:
odd exercises, Section 11.6
Plan is to do 11.7 remainder of week, test on Tuesday.
Trig:
Exercises 1.6 due Wed.
Plan section 1.7 Wed/Thur
Section 1.8 Friday
Review Monday
Test probably on Tuesday
Monday, February 23, 2009
Friday, February 20, 2009
Thursday, February 19, 2009
Algebra I due Friday:
Page 420 to 423, alternative odds.
Pre-Calc - Section 11.5 odds
Ax2 + Bxy + Cy2 + Dx +Ey +F = 0 General Form
Case where B=0, (A≠C = 0)
- If AC=0, we have parabola
- If AC>0, we have an ellipse
- or circle if A=C
- If AC<0, we have a hyperbola
(General Case)
If B2 - 4AC = 0 -- a parabola
If B2 - 4AC < 0 -- an ellipse or circle
If B2 - 4AC >0 -- a hyperbola
cot(2θ) = A - C
B
Procedure:
1. Determine rotation of axes (θ)
2. Sketch new axes.
3. Algebraically transform General Form into standard form.
4. Graph conic on new axes using standard methods.
Page 420 to 423, alternative odds.
Pre-Calc - Section 11.5 odds
Ax2 + Bxy + Cy2 + Dx +Ey +F = 0 General Form
Case where B=0, (A≠C = 0)
- If AC=0, we have parabola
- If AC>0, we have an ellipse
- or circle if A=C
- If AC<0, we have a hyperbola
(General Case)
If B2 - 4AC = 0 -- a parabola
If B2 - 4AC < 0 -- an ellipse or circle
If B2 - 4AC >0 -- a hyperbola
cot(2θ) = A - C
B
Procedure:
1. Determine rotation of axes (θ)
2. Sketch new axes.
3. Algebraically transform General Form into standard form.
4. Graph conic on new axes using standard methods.
Wednesday, February 18, 2009
Tuesday, February 17, 2009
Monday, February 16, 2009
Sunday, February 15, 2009
Friday, February 13, 2009
Writing across the Curriculum Paper - Spring
Due date: April 20th, 2009
This paper is worth 100 points in your math class, plus it is also graded for Writing Across the Curriculum by Mrs. Frank.
Algebra I Topic: “If I lived in a world without mathematics…” What would such a world be like? How would you live? What changes would there be? How would it affect your understanding of spiritual things? 2 to 5 pages, double-spaced and typed.
Trigonometry Topic: The Horatio Hornblower novels of Forester, as well as the Master and Commander novels of Patrick O’Brien used trigonometry in navigation. George Washington was a well-known surveyor before becoming a politician, the steam engine was ultimately based upon motion described by sin functions, and the Space Program would not have happened without trigonometry. Explain how trigonometry will affect your life and behavior either directly or indirectly (perhaps by using a detailed metaphor, spiritual or otherwise.) 3 to 6 pages, double-spaced and typed.
Pre-Calculus Topic: If you were a function, what would it be and why? (Get creative.) Be sure to explain your choice of variables, constants, and mathematical operations, and how they relate to you and your life. 3 to 6 pages, double-spaced and typed.
Calculus Topic: In the “snowflake” parametric curve, we found that an infinitely long and infinitely complex perimeter could be packed into a finite-sized circular region. The Mandelbrot set also demonstrates this with beauty. How does this concept – infinite complexity in a finite region - change your perspective on your life, the Universe, and your spiritual understanding? Feel free to expand the concept as needed. 4 to 8 pages, double-spaced and typed.
- Mr Boley
This paper is worth 100 points in your math class, plus it is also graded for Writing Across the Curriculum by Mrs. Frank.
Algebra I Topic: “If I lived in a world without mathematics…” What would such a world be like? How would you live? What changes would there be? How would it affect your understanding of spiritual things? 2 to 5 pages, double-spaced and typed.
Trigonometry Topic: The Horatio Hornblower novels of Forester, as well as the Master and Commander novels of Patrick O’Brien used trigonometry in navigation. George Washington was a well-known surveyor before becoming a politician, the steam engine was ultimately based upon motion described by sin functions, and the Space Program would not have happened without trigonometry. Explain how trigonometry will affect your life and behavior either directly or indirectly (perhaps by using a detailed metaphor, spiritual or otherwise.) 3 to 6 pages, double-spaced and typed.
Pre-Calculus Topic: If you were a function, what would it be and why? (Get creative.) Be sure to explain your choice of variables, constants, and mathematical operations, and how they relate to you and your life. 3 to 6 pages, double-spaced and typed.
Calculus Topic: In the “snowflake” parametric curve, we found that an infinitely long and infinitely complex perimeter could be packed into a finite-sized circular region. The Mandelbrot set also demonstrates this with beauty. How does this concept – infinite complexity in a finite region - change your perspective on your life, the Universe, and your spiritual understanding? Feel free to expand the concept as needed. 4 to 8 pages, double-spaced and typed.
- Mr Boley
Algebra I
Tests were finished today.
Homework due Monday:
Page 360-361, All
Page 392 - All
Read Section 8.1
Everyone should now have a copy of the Spring Writing assignment.
Homework due Monday:
Page 360-361, All
Page 392 - All
Read Section 8.1
Everyone should now have a copy of the Spring Writing assignment.
Wednesday, February 11, 2009
TESTING DAY
Thursday will have chapter tests in:
Algebra I - Chapter 7
Trig - Chapter P
Pre-Calculus - Chapter 10
Calculus - Chapter 6
Get plenty of rest tonight!
Algebra I - Chapter 7
Trig - Chapter P
Pre-Calculus - Chapter 10
Calculus - Chapter 6
Get plenty of rest tonight!
Tuesday, February 10, 2009
Test Review - Algebra I
Before you leave:
Make a list of the things you need to know for the test as a group
Homework
Chapter Reivew - page 387-389 ALL
Chapter Test - Page 390 - ALL
Test is Thursday
National Honor Society Calculus and Pre-Calculus students are in Mrs. Wildt's room by 7:40 AM every morning if you need tutoring or homework help.
Make a list of the things you need to know for the test as a group
Homework
Chapter Reivew - page 387-389 ALL
Chapter Test - Page 390 - ALL
Test is Thursday
National Honor Society Calculus and Pre-Calculus students are in Mrs. Wildt's room by 7:40 AM every morning if you need tutoring or homework help.
Pre-Calculus
Test on Thursday
Chapter Review on Wednesday
Complete the Practice Quiz for review on Wednesday.
Chapter Review on Wednesday
Complete the Practice Quiz for review on Wednesday.
Trig Section P-9
Inverse Functions
If f(g(x)) = x and g(f(x)) = x for all x's in the appropriate domains, then g(x) is the INVERSE of f(x)
g(x) = f -1(x)
f(f -1(x) = x and f -1(f(x) = x
domain f(x) = range f -1(x) and
range f(x) = domain f -1(x)
Finding an inverse algebraically
1) Replace f(x) by y
2) Swap all x's and y's
3) Solve for y
4) Replace y with f -1(x)
Test: is the range of f(x) = domain of
f -1(x) and vice versa?
Do all homework divisible by 3
Prepare for test on Thursday. See sample test page 117
If f(g(x)) = x and g(f(x)) = x for all x's in the appropriate domains, then g(x) is the INVERSE of f(x)
g(x) = f -1(x)
f(f -1(x) = x and f -1(f(x) = x
domain f(x) = range f -1(x) and
range f(x) = domain f -1(x)
Finding an inverse algebraically
1) Replace f(x) by y
2) Swap all x's and y's
3) Solve for y
4) Replace y with f -1(x)
Test: is the range of f(x) = domain of
f -1(x) and vice versa?
Do all homework divisible by 3
Prepare for test on Thursday. See sample test page 117
Monday, February 9, 2009
Friday, February 6, 2009
Thursday, February 5, 2009
Additional homework assignements from 2/5
Pre-calc -- Section 10.5, all odds. Plus do #59 from 10.4
Calculus -- Due Monday - Chapter 6 review. Also download from TI website the programs from Chapter 6.6 - EULER, EULERT, RUNGECUT, etc.
-- On Monday we will have practice test and discuss on Tuesday
-- Wednesday will be Chapter 6 test
Trig -- Due Friday -- complete previous homework.
Calculus -- Due Monday - Chapter 6 review. Also download from TI website the programs from Chapter 6.6 - EULER, EULERT, RUNGECUT, etc.
-- On Monday we will have practice test and discuss on Tuesday
-- Wednesday will be Chapter 6 test
Trig -- Due Friday -- complete previous homework.
Tuesday, February 3, 2009
Tips for Learning Algebra I
There are several layers of learning. First, you "get" the concept. Next, you learn the procedure. Third, you practice the procedure until you consistently get the right answers to the problems.
But what if you're one of those students that does all of this, but forgets the procedure on a test?
Take it to the next level....
Every night, select five problems from LAST week's lessons. Work those problems also. This helps you remember how to work the problems.
You see, your mind is very efficient at forgetting things that don't appear to be important. And in the ancient world, very few people needed Algebra. So our minds are designed to forget math. The way to remember something is to remember it repeatedly over the course of several days and weeks. Then, you won't forget it for years!
But what if you're one of those students that does all of this, but forgets the procedure on a test?
Take it to the next level....
Every night, select five problems from LAST week's lessons. Work those problems also. This helps you remember how to work the problems.
You see, your mind is very efficient at forgetting things that don't appear to be important. And in the ancient world, very few people needed Algebra. So our minds are designed to forget math. The way to remember something is to remember it repeatedly over the course of several days and weeks. Then, you won't forget it for years!
Monday, February 2, 2009
GRADE CARDS - FIRST SEMESTER
If your son or daughter received an "I" on the gradecard, or a code "18", this means that I am still missing work. I will accept this work up to end of day Wednesday, Feb 4. and make changes which will be reflected in the permanent grade. The grades on the grade card reflect a "0" for missing work.
Feel free to email me or otherwise contact me at school. My email prefix is bboley followed by @pchs1.com.
If you want to have a conference, I am available during school hours at 2:10 until 3 PM, and then immediately after school (let me know that you are coming.)
Feel free to email me or otherwise contact me at school. My email prefix is bboley followed by @pchs1.com.
If you want to have a conference, I am available during school hours at 2:10 until 3 PM, and then immediately after school (let me know that you are coming.)
Welcome back!
Homework for Algebra I - DUE Wednesday, Feb 4.
Section 7.4 Exercises - all odd problems
Pre-Calc - Due Wed. Feb 4.
Section 10.3 - de Moivre's Theorem - all odds.
Section 7.4 Exercises - all odd problems
Pre-Calc - Due Wed. Feb 4.
Section 10.3 - de Moivre's Theorem - all odds.
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