Algebra 3-4 - Chapter 4

Your skills checklist for Chapter 4 are listed below. Please copy these to a word document on your laptop or write them down in your notebooks. I ask that you refrain from printing them since you have access to them electronically at all times.

Skills List

On my own, without the assistance of the textbook, solutions guide, a classmate, or an instructor, I should be able to...

1. Add matrices. (4.1)

2. Subtract matrices. (4.1)

3. Multiply matrices by a scalar. (4.1)

4. Solve matrix equations. (4.1)

5. Multiply two matrices. (4.2)
6. Use matrix multiplication in applied, real-life word problems. (4.2)
7. Evaluate determinants of 2x2 and 3x3 matrices. (4.3)
8. Use Cramer's rule to solve systems of linear equations, as applied in Example 5. (4.3)
9. Find and use inverse matrices. (4.4)
10. Use inverse matrices in applied, real-life situations, such as encoding a message in Example 5. (4.4)

Class/Homework Assignments:

4.1 - pp. 203-205; #6-36 (ending in 6, 7, and 9), 37, 38, 42  (Due Monday, November 22)
4.2 - pp. 211-212; #4-40 (ending 4, 6, and 0)
4.3 - 233-234; #5-60 (ending 2, 5, and 9) 55, 56, 60
 

AG-PC - Chapter 2

Your skills checklist for Chapter 2 is listed below. Please copy these to a word document on your laptop or write them down in your notebooks. I ask that you refrain from printing them since you have access to them electronically at all times.

Skills List

On my own, without the assistance of the textbook, solutions guide, a classmate, or an instructor, I should be able to...

1. Recognize and write the fundamental trigonometric identities. (2.1)

2. Use the fundamental trigonometric identities to evaluate trigonometric expressions. (2.1)

3. Use the fundamental trigonometric identities to simplify trigonometric expressions. (2.1)

4. Use the fundamental trigonometric identities to rewrite trigonometric expressions. (2.1)
4. Verify trigonometric identities. (2.2) 
5. Use standard algebraic techniques to solve trigonometric equations. (2.3)
6. Solve trigonometric equations of quadratic type. (2.3)
7. Solve trigonometric equations involving multiple angles. (2.3)
8. Use inverse trigonometric functions to solve trigonometric equations. (2.3)

Useful Resources:

Keep in mind that there are MANY resources both in class and online that you have access to - UTILIZE THEM!

Class/Homework Assignments:

2.1 - pp. 227-228; # 1, 5, 13, 17, 23, 25, 29, 33, 37, 41, 45, 49, 53, 57, 59
2.2 - pp. 235-236; # 3-45 (ending in 3, 5, and 7)  (Due Monday, November 22)
2.3 - pp. 244-246; # 3-61 (ending in 1, 3, and 5) 

SAR Instructions for ALL Classes

Please answer the following questions:

1. Where do I stand?

2. Am I contributing to class in a positive manner?

3. What am I doing well?

4. What will I do to improve?

5. Did I reach my goals from my last reflection?

6. What are my new goals?

I would like for you to copy and paste the most recent skills set objectives for the chapter that you are either currently covering, or have just finished covering. (The skills set objectives can be found on the blog under each class overview.)

Next to each skill, you should rank your comprehension of the skill by assigning it a value of:

1 - I do not know how to do this.

2 - I need to practice this.

3 - I can do this.

4 - I could teach this.

Calculus 1 - Chapter 3

Your skills checklist for Chapter 3 are listed below. Please copy these to a word document on your laptop or write them down in your notebooks. I ask that you refrain from printing them since you have access to them electronically at all times.

Skills List

On my own, without the assistance of the textbook, solutions guide, a classmate, or an instructor, I should be able to...

1. Understand the definition of extrema of a function on an interval. (3.1)

2. Understand the definition of relative extrema of a function on an open interval. (3.1)

3. Find extrema on a closed interval. (3.1)

Useful Resources:

Critical Numbers Part 1
Critical Numbers Part 2

Keep in mind that there are MANY resources both in class and online that you have access to - UTILIZE THEM!

Class/Homework Assignments:

3.1 HW: pp. 169-170; #1-39 (ending in 1, 5, 9)

ALL CLASSES - SAR #7

SAR #7 (Due Monday, November 22) 

SAR Instructions for ALL Classes

Please answer the following questions:

1. Where do I stand?

2. Am I contributing to class in a positive manner?

3. What am I doing well?

4. What will I do to improve?

5. Did I reach my goals from my last reflection?

6. What are my new goals?

I would like for you to copy and paste the most recent skills set objectives for the chapter that you are either currently covering, or have just finished covering. (The skills set objectives can be found on the blog under each class overview.)

Next to each skill, you should rank your comprehension of the skill by assigning it a value of:

1 - I do not know how to do this.

2 - I need to practice this.

3 - I can do this.

4 - I could teach this.

SAR Instructions for ALL Classes

For this first SAR of the 2nd term, I would like to try out something new. In addition to the original SAR questions of:

1. Where do I stand?

2. Am I contributing to class in a positive manner?

3. What am I doing well?

4. What will I do to improve?

5. Did I reach my goals from my last reflection?

6. What are my new goals?

I would like for you to copy and paste the most recent skills set objectives for the chapter that you are either currently covering, or have just finished covering. (The skills set objectives can be found on the blog under each class overview.)

Next to each skill, you should rank your comprehension of the skill by assigning it a value of:

1: I do not know how to do this.

2. I need to practice this.

3. I can do this.

4. I could teach this.

For example a response you may have for Algebra 3-4:

4 - 1. Graph relations and functions. (2.1)

4 - 2. Graph and evaluate linear functions. (2.1) 

4 - 3. Find slopes of lines and classify parallel and perpendicular lines. (2.2) 

3 - 4. Use slope to solve problems. (2.2) 

2 - 5. Use the slope-intercept form of a linear equation to graph linear equations. (2.3) 

(so on and so forth)... through all of the objectives that have been covered so far in your class for the chapter.

The new format of the SAR should help you shift your focus from earning a grade based on completing homework, participating in class, and taking notes... to ranking your effort in class of going above and beyond, basically fine, etc. on how many of the objectives you should be accomplishing are actually being accomplished.

Your "grade" isn't something that should be determined by a reflection of "I've been turning in my homework, taking notes, and working hard." It should be based on "In this chapter, we've been learning to set up t-tables and graph functions. I was able to use the data given to set up a chart then graph the line and identify if the line was or was not a function." It's the skills that you are being graded on, not the "work" that is being turned in. Turning in work does not equate to understanding the material.

So again, to recap, in addition to the 6 SAR questions, you are also copying and pasting the skills set list into your SAR and ranking your accomplishment level for each skill set.

Algebra 3-4 - Chapter 3

Your skills checklist for Chapter 3 are listed below. Please copy these to a word document on your laptop or write them down in your notebooks. I ask that you refrain from printing them since you have access to them electronically at all times.

Skills List

On my own, without the assistance of the textbook, solutions guide, a classmate, or an instructor, I should be able to...

1. Graph and solve systems of linear equations in two variables using:

• graphing (3.1)
• substitution (3.2)
• elimination (3.2)

2. Graph a system of linear inequalities to find the solutions of the system. (3.3)

3. Solve linear programming problems by using optimization to find the maximum and minimum. (3.4)

4. Graph linear equations in three variables and evaluate linear functions of two variables. (3.5)
5. Solve systems of linear equations in three variables. (3.6)

Class/Homework Assignments:

3.1 - pp. 142-145; #15-65 (x5)

3.2 - pp. 152-154; #11-49 (every 4th), 65

3.3 - pp. 159-162; #5-60 (x5)

3.4 - pp. 166-168; #9-19 (odd), 22, 25

3.5 - pp. 173-175; #5-45 (x5) 

Calculus 1 - Chapter 2

Your skills checklist for Chapter 2 are listed below. Please copy these to a word document on your laptop or write them down in your notebooks. I ask that you refrain from printing them since you have access to them electronically at all times.

Skills List

On my own, without the assistance of the textbook, solutions guide, a classmate, or an instructor, I should be able to...

1. Find the slope of the tangent line to a curve at a point. (2.1)

2. Use the limit definition to find the derivative of a function. (2.1)

3. Understand the relationship between differentiability and continuity. (2.1)

4. Find the derivative of a function using the Constant, Power, Constant Multiple, Sum and Difference Rules. (2.2)

5. Find the derivatives of the sine and cosine functions. (2.2)

6. Use derivatives to find rates of change. (2.2)

7. Find the derivative of a function using the Product and Quotient Rules. (2.3)

8. Find the derivative of a trigonometric function. (2.3)

9. Find a higher-order derivative of a function. (2.3)

10. Find the derivative of a composite function using the Chain Rule. (2.4)

11. Find the derivative of a function using the General Power Rule. (2.4)

12. Simplify the derivative of a function using algebra. (2.4)

13. Find the derivative of a trigonometric function using the Chain Rule. (2.4)

14. Distinguish between functions written in implicit and explicit form. (2.5)

15. Use implicit differentiation to find the derivative of a function. (2.5)

16. Find a related rate. (2.6)

17. Use related rates to solve problems. (2.6)

Useful Resources:

Finding the Equation of a Tangent Line

Understanding the Definition of a Derivative

Finding a Derivative by using the Definition of a Derivative

Basic Derivative Examples

The Product Rule

The Quotient Rule

The Chain Rule
Derivatives: Product Rule + Chain Rule
Basics of Implicit Differentiation 

Keep in mind that there are MANY resources both in class and online that you have access to - UTILIZE THEM!

Class/Homework Assignments:

2.1 - pp. 103-104; #1-35 (odd)

2.2 - pp. 115-118; #5-65 (x5), 81, 89, 91, 93, 108

2.3 - pp. 126-127; #5-65 (x5)

2.4 - pp. 137-139; #7-77 (x7), 102, 105
2.5 - pp. 146-147; #1-41 (odd)

2.6 - pp. 154-157; #3-54 (x3)

Algebra 3-4 - Chapter 2

Your skills checklist for Chapter 1 are listed below. Please copy these to a word document on your laptop or write them down in your notebooks. I ask that you refrain from printing them since you have access to them electronically at all times.

Skills List

On my own, without the assistance of the textbook, solutions guide, a classmate, or an instructor, I should be able to...

1. Graph relations and functions. (2.1)

2. Graph and evaluate linear functions. (2.1)

3. Find slopes of lines and classify parallel and perpendicular lines. (2.2)

4. Use slope to solve problems. (2.2)

5. Use the slope-intercept form of a linear equation to graph linear equations. (2.3)

6. Use the standard form of a linear equation to graph linear equations. (2.3)

7. Write linear equations. (2.4)

8. Write direct variation equations. (2.4)

9. Use a scatter plot to identify the correlation shown by a set of data. (2.5)

10. Approximate the best-fitting line for a set of data. (2.5)

11. Graph linear inequalities in two variables. (2.6)

12. Use linear inequalities to solve problems. (2.6)

13. Graph piece-wise functions. (2.7)

14. Use piece-wise functions to solve problems. (2.7)

15. Graph absolute value functions. (2.8)

16. Use absolute value functions to model situations. (2.8)

Keep in mind that there are MANY resources both in class and online that you have access to - UTILIZE THEM!

Class/Homework Assignments:

2.1 - pp. 71-73; #1-56 (4n+1, n=0,1,2,3...)

2.2 - pp. 79-81; #1-49 (2n+1, n=0,1,2,3...)

2.3 - pp. 86-88; #5-50 (x5), 58, 61

2.4 - pp. 95-95; #5-50 (x5)

2.5 - pp. 103-105; #8-28 (even), 29

2.6 - pp. 111-113; #5-50 (x5), 53-55

2.7 - pp. 117-120; #5-60 (x5), 62

2.8 - pp. 125-127; #13, 15, 17, 21, 35, 46

AG-PC - Chapter 1

Your skills checklist for Chapter 1 are listed below. Please copy these to a word document on your laptop or write them down in your notebooks. I ask that you refrain from printing them since you have access to them electronically at all times.


Skills List

On my own, without the assistance of the textbook, solutions guide, a classmate, or an instructor, I should be able to...

1. Describe angles. (1.1)

2. Use radian and degree measures. (1.1)

3. Identify a unit circle and describe its relationship to real numbers. (1.2)

4. Evaluate trig. fxns. using the unit circle. (1.2)

5. Use the domain and period to evaluate side and cosine functions. (1.2)

6. Use a calculator to evaluate trig. fxns. (1.2)

7. Evaluate trig. fxns of acute angles. (1.3)

8. Use the fundamental trig. identities. (1.3)

9. Evaluate trig. fxns of any angle. (1.4)

10. Use reference angles to evaluate trig. fxns. (1.4)

11. Sketch the graphs of basic sine, cosine and tangent fxns. (1.5, 1.6)

12. Use amplitude and period to help sketch the graphs of sine and cosine fxns. (1.5)

13. Sketch translations of the graphs of sine and cosine fxns. (1.5)

14. Sketch the graphs of secant, cosecant, and cotangent fxns. (1.6)

15. Evaluate the graph of inverse sine and cosine fxns. (1.7)

Useful Resources:

Degrees and Radians

Remembering the Unit Circle

Right Triangle and Trigonometric Functions

Solving Trigonometric Functions

Graphing the Six Trigonometric Functions

Graphing with Transformations

Keep in mind that there are MANY resources both in class and online that you have access to - UTILIZE THEM!

Class/Homework Assignments:

1.1 - pp. 138-140; #7-91 (x7), 100, 101

1.2 - pg. 147; #3-41 (odd)

1.3 - pp. 156-159; #4n+1, n=0,1,2,3..., ALL

1.4 - pp. 166-168; #4n+1, n=0,1,2,3..., through 89

1.5 - pp. 176-178;  #4n+1, n=0,1,2,3..., through 48

1.6 - pp. 187-189; #7-29 (odd)

1.7 - pp. 197-199; #1-15 (odd), 39-57 (odd), 92, 96

AG-PC

Remainder of Chapter 1 Schedule

1.5 Graphs of Sine and Cosine Functions (9/16 - 9/20)
Chapter 1 Quiz 2
1.6 Graphs of Other Trig. Functions (9/21 - 9/24)
1.7 Inverse Trig. Functions (9/27 - 9/28)
Review
Chapter 1 Test

Calculus I

Chapter 2 Calendar

2.1 Derivative and Tangent Line Problem (9/17 - 9/21)

2.2 Basic Differentiation and Rules and Rates of Change (9/23 - 9/27)

2.3 Product and Quotient Rules and Higher-Order Derivatives (9/28 - end of term)
2.4 The Chain Rule (10/11 - 10/14)
2.5 Implicit Differentiation (10/15 - 10/18)
2.6 Related Rates (10/19 - 10/22)
Review
Chapter 2 Test

Objectives for Chapter 2

1. Find the slope of the tangent line to a curve at a point.

2. Use the limit definition to find the derivative of a function.

3. Understand the relationship between differentiability and continuity.

4. Find the derivative of a function using the Constant, Power, Constant Multiple, Sum and Difference Rules.

5. Find the derivatives of the sine and cosine functions.

6. Use derivatives to find rates of change.

7. Find the derivative of a function using the Product and Quotient Rules.

8. Find the derivative of a trigonometric function.

9. Find a higher-order derivative of a function.

10. Find the derivative of a composite function using the Chain Rule.

11. Find the derivative of a function using the General Power Rule.

12. Simplify the derivative of a function using algebra.

13. Find the derivative of a trigonometric function using the Chain Rule.

14. Distinguish between functions written in implicit and explicit form.

15. Use implicit differentiation to find the derivative of a function.

16. Find a related rate.

17. Use related rates to solve problems.

Self Assessment Reflection Questions

ALL CLASSES:
1. Where do I stand?
2. Am I contributing to class in a positive manner?
3. What am I doing well?
4. What will I do to improve?
5. Did I reach my goals from my last reflection?
6. What are my new goals?

Calculus I:
- Began 1.3 Notes
- basic properties of limits

AG-PC:
- Unit circle notes

Algebra 3-4:
- completed 1.3 Notes

AG-PC COMAP:
- Activity 3
- Presentations on Friday

Calculus I:
- delta epsilon proofs
- 1.2 HW time

AG-PC:
- began 1.2 Notes
- Unit circle
- trig. functions

Algebra 3-4:
- 1.3 Notes

AG-PC COMAP:
- Activity 3
- Presentations on Friday

Calculus I

Woo hoo! You all will be very happy (or at least I am), that I found a video that explains the whole Epsilon-Delta proof business. I know that it's been frustrating for some of us (myself included), with all the confusion... hopefully this helps! We'll be watching this on Monday!

Epsilon-delta!!!

Algebra 3-4

Took and completed notes for 1.2.

HW 1.2: pp. 14-16; #'s 2-68 (x2) (Due Monday at end of class)

AG-PC (COMAP)

Professor Longhair, Big Chief Parkour video!

Activity 2 Presentations.

Calculus I

Today we continued our confusion on Epsilon-Delta Definition of Limits.

Alex Roberts was able to help us understand the "leap of faith" that is calculus - which made many of us uncomfortable.

AG-PC

Today we completed our notes for 1.1 and homework was assigned.

HW 1.1: pp. 138-140; #'s 7-91 (x7), 100, 101 (Due Monday)

Algebra 3-4

Reviewed questions from 1.1 HW and learned rules of Division for numbers 1-10.

AG-PC (COMAP)

Activity 2 planning day!!!

Presentations to commence on Friday!

Calculus I

Today we tried to understand Epsilon-Delta Definition of Limits. 8-\

AG-PC

Today we learned to:
- find complementary and supplementary angles
- convert from degrees to radians and vice versa

Algebra 3-4

Completed 1.1 Notes and homework was assigned.


HW 1.1: pp. 7-9; #'s 3-54 (x3), 57, 58 (Due Thursday)

AG-PC (COMAP)

Intro to Linear Village
- Received Activity 2 Challenge

Calculus I

1.2:
Basics of limits,
estimating limits,
behaviors that differ from left to right, and
unbounded behaviors.

HW 1.2: pp. 54-57; #'s 3-60(x3) (Due Friday)

AG-PC

Today you learned to:
- sketch/graph angles in terms of radians

AG-PC (COMAP)

Completed group handout for Gridville lesson.

AG-PC

Copied notes outline for 1.1 Radian & Degree Measures.

Calculus I

Completed 1.1.

HW 1.1: p. 47; #'s 1-10 (Due 8/19)

Algebra 3-4

Notes taken over Real numbers and number operations.

Objectives:
- use a numberline to graph and order real numbers
- identify properties of and use operations with real numbers

Calculus I

1.1 covered today. The Tangent Line Problem and Area Problem.

HW 1.1: p. 47; #'s 1-10 (Due 8/19)

Algebra 3-4

Finished up the review!

AG-PC (COMAP)

- Finished up presentations
- Voted for best solution to Gridville Activity
- Worked on group handout to conclude Gridville

AG-PC

P5-P6 Review.

Algebra 3-4

We completed approximately 2/3 of the Algebra I review today. Hopefully we'll finish the remaining problems tomorrow as well as go over Self assessment reflections - hopefully an improved and more convenient method for you to submit your reflections. It's also more resource efficient and provides an easier means for me to respond to everyone's SAR. Hope you have a happy Friday!

AG-PC COMAP

Today we got through 7 of 8 group presentations. We need to work on our presentation speaking and audience listening skills. The way in which presentations were given was far from "professional" or even close to "semi-professional". We will have a class discussion regarding what behaviors constitute professional presentation and audience listening.

Aside from that, you all had some great ideas! We'll see how the class votes tomorrow!

In addition to finishing up CHALLENGE #1, tomorrow we will go over Self assessment reflections. Hopefully it's an improved and more convenient method for you to submit your reflections. It's definitely more resource efficient and provides an easier means for me to respond to everyone's SAR. Hope you have a happy Friday!

AG-PC

P5: #'s 5-100 (x5)
P6: #'s 5-105 (x5)

Tomorrow we will go over Self assessment reflections - hopefully improved and more convenient method for you to submit your reflections. It's also more resource efficient and provides an easier means for me to respond to everyone's SAR. Hope you have a happy Friday!

Calculus I

P3 assigned today, question numbers are the same as P2. Tomorrow we will go over Self assessment reflections - hopefully improved and more convenient method for you to submit your reflections. It's also more resource efficient and provides an easier means for me to respond to everyone's SAR. Hope you have a happy Friday!

Algebra 3-4

Today you received the self assessment of skills/concepts covered last year. Please make sure you fill it out as honestly as possible so that we know which skills we need to take more time to cover and which skills are easy for everyone!

We also go through half of our review packet and will complete the other half on Thursday. Please make sure you have made a good attempt at completing it as this semester's material will rely heavily on the comprehension of Algebra 1-2 concepts. :)

First progress report which will be handed out Friday! 

AG-PC COMAP

So today you received CHALLENGE 1 for Unit 1 Lesson 1.

You will be presenting your plan on Thursday and we will be voting as a class on the best presented plan. Remember, you cannot vote for your own team! We haven't figured out what will happen for the people who get the most votes... but I'll we can figure something out. :) Have fun! Be creative!

First progress report which will be handed out Friday! 

AG-PC

Today's classwork consisted of P3 and P4.

P3 problems consisted of #'s 4n+2, where n=0,1,2,...
P4 problems consisted of #'s 5n+5 where n=0,1,2,...

Keep in mind we have 10 practice sections and only 4 days to complete them. :) We may just get through P8... but if you have any questions, make sure they are getting answered in class! Trig. really does require a good understanding of a lot of concepts you learned in Algebra.

A participation grade for the practices will be taken on Friday. It will be included on your first progress report which will be handed out Friday!

Calculus I

Today was P2 time. Problems to be worked were #'s 4n+1 where n=0,1,2,...

Remember: We need to complete P1-P3 by Friday. :) A participation grade for the practices will be taken on Friday. It will be included on your first progress report which will be handed out Friday!

Algebra 3-4

First day of review...

You were given a 2 page review packet and was allowed to work throughout the whole class period. If it wasn't completed, then the remainder was to be finished and brought in tomorrow!

AG-PC (COMAP)

First day of stuff!

We talked about maximizing gain and minimizing loss!

Started the Gridville, fire department location planning activity... everyone made their own plan for the most efficient city.

Tomorrow we will work in groups using the grid that is provided in the text to plan THE MOST EFFICIENT set up. We'll let each group present, and we'll figure out what the most efficient setup really is.

AG-PC

First day of review...

We worked on P1-P2 sections of the review today. The assignment was:

P1: pp. 9-11; #'s 5-100 (x5)
P2: pp. 22-24; #'s 9-180 (x9)

Remember, the goal is to get through at least P8 by Friday! We can do it!

Calculus I

First day of review...

Aside from Bennett, who was the only person who completed the whole review over the weekend because he thought it was due today, everyone else worked on the following assignment:

P1: pp. 8-9; #'s 1-4,7,9-11,17,23,25,27,29,32,37,38,45,49,51,54,55,59,61,63,65,67,69,71,73,74,77,78,81-84 (this should be completed along with P2 before class on Thursday)

Plan for Success!

Today we thoroughly covered the plan for success.

Keep in mind:
~ the suggested materials for success in your math class,
~ the classroom expectations,
~ the homework assignment due date policy, and
~ the electronic devices rule.

Here's to a great school year and a successful and productive year of math!

Live Honorably

Today we watched two videos as an intro to living honorably from the Samurai point of view.

Philosophy of The Last Samurai
Bushido: A Way of Life

We then discussed what we liked/agreed with or disliked/disagreed with in regards to the philosophy and Bushido code.

Your first assignment was:
1. To write a personalized honor code which included values and aspects of characteristics you would like to build or strive for throughout the school year and for the rest of your life. (Due 8/9/10)

4 Agreements Discussion

So today we:
- discussed in depth what each of the four agreements meant to us as an individual
- shared with the class what we thought was difficult to achieve
- shared with the class what was easy to achieve
- wrote a personalized goal for each of the four agreements

First Day of School!

20 minutes of getting to know Ms. Chen. :)

I hope you learned lots about deep sea fishing, horse racing, catching crabs, and home-brew science!

Finals!!!

Chinese 1-2
5/10-5/11 ~ Oral Exam
5/12 ~ Written Exam Part 1
5/14 ~ Written Exam Part 2

Chinese 3-4
5/10 ~ Oral Exam
5/12 ~ Written Exam Part 1
5/13 ~ Written Exam Part 2

AG-PC
5/10 ~ Non-Calculator Final
5/12-5/13 ~ Calculator Final

Last day to submit work May 14, 2010.

Chapter 5: Exponential and Logarithmic Functions

Sections 5.1 - 5.4 are planned to be covered until 4/2/10

 Your skills checklist for Chapter 5 are listed below. Please copy these to a sticky on your laptop or write them down in your notebooks. I ask that you refrain from printing them since you have access to them on your laptop/electronically at all times. Please keep in mind that the orange, Pre-Calculus textbook is a class set textbook. We do not have enough for every student to take home so plan to use your time wisely to get questions answered and work done in class.

Skills List

On my own, without the assistance of the textbook, solutions guide, a classmate, or an instructor, I should be able to...

1. Recognize and evaluate exponential functions with base a.

2. Graph exponential functions and use the One-to-One property.

3. Recognize, evaluate, and graph exponential functions with base e.

4. Recognize and evaluate logarithmic functions with base a.

5. Graph log. functions.

6. Recognize, evaluate, and graph natural logarithmic functions.

7. Solve simple, complicated, and complex exponential & logarithmic functions.

Useful Resources:
Finding the Equation of an Exponential Function

Evaluating Exponential Functions: Ex 1. No Variables, Only Numbers

Evaluating Exponential Functions: Ex. 2 No Variables, Only Numbers

Evaluating Exponential Functions: Ex. 3 No Variables, Only Numbers

Exponential Growth Problem

Exponential Decay/Finding Half Life Problem

Logarithmic Functions

Properties of Logarithmic Functions Part 1

Properties of Logarithmic Functions Part 2

Keep in mind that the videos above are a resource. They may or may not have material that applies directly to our math class, and might not necessarily cover everything we need to cover in class. So although they are very helpful, make sure you are not just learning the material in the videos.

There are MANY resources both in class and online that you have access to - UTILIZE THEM!

Class/Homework Assignments:
(Green Book)  In red are the tentative due dates, if they are in bold, then they are set due dates.

5.1 HW - pp. 376-377; #'s 2-62, numbers ending in 2, 5, and 8 (April 23)

5.2 HW - pp. 386-387; #'s 3-68, numbers ending in 3, 7 and 8 (April 27)

5.3 HW - pp. 3930394; #'s 2-77, numbers ending in 2, 4, and 7 (April 29)

5.4 HW - pg. 403-404; #'s 3-98, numbers ending in 3, 6, and 8 (April 30)

(COMAP)

Sections: Chapter 2*

*Note, keep in mind that the concepts covered in COMAP may not include all concepts learned in class. Feel free to suggest methods to exhibit your learning of concepts.

Other Important Dates:

4/30 - Review

5/3 - Review
5/4 - Chapter 5 Test

Sequences and Series

Sections 8.1 - 8.5 are planned to be covered until 4/2/10
Your skills checklist for Chapter 8 are listed below. Please copy these to a sticky on your laptop or write them down in your notebooks. I ask that you refrain from printing them since you have access to them on your laptop/electronically at all times. Please keep in mind that the orange, Pre-Calculus textbook is a class set textbook. We do not have enough for every student to take home so plan to use your time wisely to get questions answered and work done in class.

Skills List

On my own, without the assistance of the textbook, solutions guide, a classmate, or an instructor, I should be able to...

1. Use sequence notation to write the terms of sequences. (8.1)

2. Use factorial notation. (8.1)

3. Use summation notation to write sums. (8.1)

4. Find sums of infinite series. (8.1)

5. Recognize, write, and find the nth term of arithmetic sequences. (8.2)

6. Find the nth partial sums of arithmetic sequences. (8.2)

7. Recognize, write, and find the nth term of geometric sequences. (8.3)

8. Find nth partial sums of geometric sequences. (8.3)

9. Find sums of infinite geometric series. (8.3)

10. Use geometric sequences to model & solve problems. (8.3)

11. Use mathematical induction to prove formulas. (8.4)

12. Use the Binomial Theorem to calculate binomial coefficients. (8.5)

13. Use Pascal's triangle to calculate binomial coefficients. (8.5)

14. Use binomial coefficients to write binomial expressions. (8.5)

Useful Resources:
Sequences - Basic Intro
Series - Basic Info
Sequences - Factorial Basics
Sequences - Summation Notation
Series - Partial Sums
Arithmetic Sequences - Intro
Arithmetic Sequence - nth Term Formula
Geometric Sequences - Intro
Geometric Sequences - nth Term Formula
Mathematical Induction - Basics
Binomial Theorem - Part 1
Binomial Theorem - Part 2
Pascal's Triangle and Binomial Coefficients


Keep in mind that the videos above are a resource. They may or may not have material that applies directly to our math class, and might not necessarily cover everything we need to cover in class. So although they are very helpful, make sure you are not just learning the material in the videos.

There are MANY resources both in class and online that you have access to - UTILIZE THEM!

Class/Homework Assignments:
(Orange Book)  In red are the tentative due dates, if they are bolded, then they are set due dates.

8.1 HW - pp. 563-565; #'s 2-109, numbers ending in 2, 8, and 9 (Due Tuesday 3/2)

8.2 HW - pp. 573-575; #'s 3-89, numbers ending in 3, 6 and 9 (Due Tuesday 3/16)

8.3 HW - pp. 582-583; #'s 2-88, numbers ending in 2, 5, and 8 (Due Friday 3/19)

8.4 HW - pg. 592; #'s 3-18, numbers ending in 3, 6, and 8 (Due Tuesday 3/30)

8.5 HW - pp. 599-600; #'s 1-75, numbers ending in 1, 5, and 9 (Due Monday 4/5)

(COMAP)

Sections: Chapter 7*

*Note, keep in mind that the concepts covered in Chapter 7 may not include all concepts learned in class.

Other Important Dates:

3/29 - Cesar Chavez Day
4/5-4/6 - Review Days

These Dates will NOT be changed any further:
4/13 - 8.1-8.2 Quiz
4/14 - Quiz 1 Review
4/15 - 8.3-8.5 Quiz
4/16 - Chapter 8 Test

Stimulus & Response...

Between stimulus and response, there is a space. 

In that space lies our freedom and power to choose our response. 

In our response lies our growth and happiness.


UNKNOWN - quoted by Stephen. R. Covey in "The 7 Habits of Highly Effective People." Often misattributed to Viktor Frankl.

中文 三~四：第六課 － 約時間

二月， 十五日，     星期一：沒有課

二月， 十六日，     星期二：第六課 ＝ 會話一  生字  和  Character WB

二月， 十七日，     星期三：惡作劇之吻

二月， 十八日，     星期四：第六課 ＝ 會話一  口試

二月， 十九日，     星期五：惡作劇之吻

二月， 二十二日，     星期一：第六課 ＝ 功課天

二月， 二十三日，     星期二：AIMS ，看台灣照片

二月， 二十四日，     星期三：AIMS

二月， 二十五日，     星期四：第六課 ＝ 作業一交, 會話二 生字 和  Character WB，

二月， 二十六日，     星期五：惡作劇之吻

三月， 一日，  星期一：第六課 ＝功課天
三月， 二日，  星期二：第六課 ＝功課天
三月， 三日，  星期三：第六課 ＝沒有課
三月， 四日，  星期四：第六課 ＝會話二 口試，作業二交
三月， 五日，  星期五：第六課 ＝惡作劇之吻

 

AG-PC: Complex Numbers

Sections 4.1-4.4 are being covered from 1/28 - 2/17
Your skills checklist for sections 4.1 to 4.4 are listed below. Please copy these to a sticky on your laptop or write them down in your notebooks. I ask that you refrain from printing them since you have access to them electronically at all times.

Skills List

On my own, without the assistance of the textbook, solutions guide, a classmate, or an instructor, I should be able to...

1.Write complex number expressions. (4.1)
2. Add, subtract and multiply complex numbers. (4.1)
3. Multiply by the complex conjugate to simplify the quotient (fraction) of two complex numbers into standard form. (4.1)
4. Find complex solutions of quadratic equations using the Quadratic Formula. (4.2)
5. Determine the number and find the real and complex solutions of polynomial equations. (4.2)
6. Find zeros given a polynomial function and vice versa. (4.2)
7. Plot complex numbers in the complex plane. (4.3)
8. Find the absolute values of a complex number. (4.3)
9. Convert a complex number to trigonometric form and vice versa. (4.3)
10. Multiply and divide complex numbers written in trigonometric form. (4.3)
11. Use DeMoivre's Theorem to find powers of complex numbers. (4.4)
12. Determine the rotational symmetry of a figure. (4.4)
13. Find nth roots of complex numbers. (4.4)

Useful Resources:
Complex Numbers Basics: Adding, Subtracting & Graphing
Complex Numbers: Multiplying and Dividing


Keep in mind that there are MANY resources both in class and online that you have access to - UTILIZE THEM!

Class/Homework Assignments:
(Green Book)  
Due Dates Postponed by 1 day - (ex. 4.2 HW due 2/4)

4.1 - pp. 337-338 #'s ending in 1, 3, and 4; through #74 (Due 2/1)

4.2 - pp. 344-345 #'s ending in 1, 3, and 6; through #66 (Due 2/3)

4.3 - pp. 352-353 #'s ending in 1, 5, and 8; through #65 (NEW! Due 2/9)

4.4 - pp. 358-359 #'s ending in 2, 5, and 7; through #57 (NEW! Due 2/16)

(COMAP)

Sections: 4.3, 4.5, 4.1, 4.2, 4.4

Other Important Dates:

2/12 - Ch. 4 Review

2/15 - NO SCHOOL President's Day

2/16 - Ch. 4 Review

2/17 - Ch. 4 Test (NEW! Review!!!)
2/18 - Ch. 4 Test (NEW!)

Chinese 1-2

1/25 Monday: Lesson 14 Homework Due & Oral Exam Day
1/26 Tuesday: Lesson 15
1/27 Wednesday: JTTW - Monkey King
1/28 Thursday: Lesson 15 Homework Due & Oral Exam Day
1/29 Friday: Lesson 16

2/1 Monday: Lesson 16 Homework Due & Oral Exam Day
2/2 Tuesday: Review Lessons 9-12
2/3 Wednesday: Exam 9-12
2/4 Thursday: Review Lessons 13-16
2/5 Friday: Exam 13-16

中文 三~四：第五課 － 看朋友

一月 ， 二十五日 ， 星期一：第四課 － 會話二  口試

一月 ， 二十六日 ， 星期二：第五課 － 會話一  生字  和  Character WB

一月 ， 二十七日 ， 星期三：第五課 － 會話一  功課天

一月 ， 二十八日 ， 星期四：第五課 － 會話一  功課天 和 聽寫（星期一交）

一月 ， 二十九日 ， 星期五：惡作劇之吻 － 第三紀

二月， 一日， 星期一：第五課 － 會話一 功課交， 會話二  生字  和  Character WB

二月， 二日， 星期二：第五課 － 會話二 功課天

二月， 三日， 星期三：第五課 － 會話一 功課天 和 聽寫（星期一交）

二月， 四日， 星期四：第五課 － 會話一和一  口試

二月， 五日， 星期五： 惡作劇之吻 － 第四紀

AG-PC: Vectors

Sections 3.3-3.4 are being covered from 1/18-1/27
Your skills checklist for sections 3.3 and 3.4 are listed below. Please copy these to a sticky on your laptop or write them down in your notebooks. I ask that you refrain from printing them since you have access to them electronically at all times.

Skills List

On my own, without the assistance of the textbook, solutions guide, a classmate, or an instructor, I should be able to...

1. Explain what a vector is and what it is made up of. (3.3)

2. Identify initial, terminal points of a vector. (3.3)

3. Calculate component form and magnitude of vectors. (3.3)

4. Show that two vectors are equal. (3.3)

5. Add, subtract, and multiply by a scalar. (3.3)

6. Calculate a unit vector. (3.3)

7. Write a linear combination in the form of standard unit vectors. (3.3)

8. Add, subtract, and multiply (by a scalar) vectors in component or unit vector form. (3.3)

9. Find the direction angle of a vector. (3.3)

10. Find the dot product of two vectors. (3.4)

11. Find solutions using properties of dot products. (3.4)

12. Find the angle between two vectors. (3.4)

13. Determine whether or not two vectors are orthogonal. (3.4)

Useful Resources:
Vector Basics
Vector Components, Adding, & Scalar Multiplication Part 1
Vector Components, Adding, & Scalar Multiplication Part 2
Calculating Vector Magnitude aka Length
Vector Dot Product

Keep in mind that there are MANY resources both in class and online that you have access to - UTILIZE THEM!

Class/Homework Assignments:
(Green Book)

3.3 - pp. 304-305 #'s ending in 1, 3, and 6; through #66

3.4 - pp. 315-316 #'s ending in 1, 2, and 7; through #52

(COMAP)
Sections: 4.3, 4.5, 4.1, 4.2