Honors Advanced Math 09-10

The schedule up to February Break

2010-02-05T12:59:00.000-05:00

2/05 Post-Quiz HW Brown p.338/41 and p.357-358/25-28,31,32,36,41
2/08 Review and Extension Problems
2/10 Geometric and Inverse Trig Test
HW read Demana section 5.1; do p.430/1-29 odd
2/11 Basic Trig Identities CW p.430/31-38 HW p.430-431/39-55 odd
2/12 Finish Basic Trig Identities CW p.431/57, 59, 67, 69-72

2/13 - 2/21 February Break!

Mixed Application Problems

2010-02-04T16:41:00.001-05:00

Here are some problems that will help you study for your quiz:
(All Brown book)

p.337-338/31-33, 37
p.356-358/11, 14, 18, 21, 24, 25, 29, 34

Note: for problem 29 it refers you to formulas that you have yet to prove. Try to figure out the length of the median/angle bisector/altitude using what you know about geometry and trigonometry rather than trying to understand and memorize formulas. Remember, if you have the length of three parts to the triangle (some combo of sides and angles, or all sides), you can "solve" the triangle (eg. find the rest of the sides and angles using the Law of Cosines and the Law of Sines) and then apply what you know about medians (cut the opposite side in half), angle bisectors (cut the angle in half) and altitudes (make a right angle).

Important Laws

2010-02-01T14:09:00.002-05:00

We are starting the week with the Law of Sines and the Law of Cosines.

Day 1: Law of Sines HW Brown p.347-349/1-27 odd
Day 2: Law of Cosines HW Brown p.352-354/1-17 odd, 22

We will also be going over the last quiz on Wednesday.

Moving the quiz, finishing the chapter

2010-01-20T11:44:00.032-05:00

I am moving the quiz to Friday for both sections and it will cover 4.1-4.5. Here is the new syllabus:

01/19 F-Block doesn't meet        H-Block 4.5
01/20 F-Block 4.5, go over HW    H-Block go over HW, 4.7 day 1
01/21 F-Block 4.7 day 1 ;            H-Block Extra Problems
01/22 F-Block quiz                      H-Block quiz

01/25 F-Block 4.7 day 2                H-Block doesn't meet
01/26 F-Block doesn't meet    H-Block 4.7 day 2
01/27 4.7 day 3
01/28 Intro to using trig for area (move to Brown book)
01/29 practice

4.5 Graphs of the other Trig Functions
     HW p.385-386/1-4,5-11 odd,27-29,32-34,38,40,42,51,52,54
4.7 Inverses - Graphs and Restrictions
     HW p.402-403/1-11 odd, 17, 19, 33-35, 49, 51, 54, 57
4.7 Composing Inverses
     HW finish handout about inverses and periodic functions
4.7 Extra Practice
     HW p.402-403/23-31 odd, 37-47 odd, 55, 59; & p.414/42, 43
Brown 9.2 problems: p.342-344/1-19 odd, 20-22, 35, 36 (34 is a bonus!)

Moving the retest

2010-01-08T13:37:00.001-05:00

Given the advocacy (ok, it was really whining but I am being nice about it) the retest will move to Wednesday, after all of the AP History drama is done. The rest of the schedule moves up a day.

More with Trig Functions and Sinusoids

2010-01-05T22:41:00.004-05:00

We are continuing our study of trigonometric functions, bringing in the periodic nature of the functions (sinusoids and their applications) and looking at the other trig functions that we have been ignoring a bit. The last week listed is just a plan at this point.

12/17 Solving Trig Equations
          HW worksheet & Brown p.272-274/17-27 odd, 29-32, 33-41 odd
12/18 More solving Trig Equations with x-y-r proofs
          HW finish handout
12/21 Mapping Trig Values worksheet
          HW finish for after vacation
12/23 Quiz of 4.1-4.3

12/24 - 1/4 Christmas Vacation

01/04 Parent Conferences (no classes)
01/05 H-Block: Sinusoids HW p.376-7/5,6-21 odd,22,25,28,30,33-36
01/06 Exp & Log Second Review (ask your questions! get answers!)
01/07 F-Block: Sinusoids HW p.376-7/5,6-21 odd,22,25,28,30,33-36
          H-Block: Extra 4.1-4.4 problems
01/08 Exponential & Logarithm Retest

01/11 F-Block: Extra 4.1-4.4 problems
01/12 H-Block: CW p.379/71-74 HW p.377-378/41-57 odd,60,61,64,67
01/13 F-Block: CW p.379/71-74 HW p.377-378/41-57 odd,60,61,64,67
          H-Block: Solving with Sinusoids
01/14 F-Block: Solving with Sinusoids (half-day B A G F)
01/15 continue on Solving with Sinusoids

01/18 Martin Luther King Day (no school)
01/19 H-Block something extra that is as yet unplanned
01/20 Quiz Sinusoid Quiz; 4.5 Graphs of the other trig functions
01/21 4.7 Graphs and Restrictions of Inverse Trig Functions
01/22 4.7 Composing Inverse Trig Functions; End of Term 2

Starting Trig

2009-12-10T11:42:00.001-05:00

Regardless of whether remediation is needed for the exponential and log unit (given the groaning about the test), we will be starting trigonometry. If, after I have looked over the tests, we need to backtrack, that will happen after we have done the following:

12/10 Angles in degrees & radians, on the circle, special right triangles
           HW Demana p.343/3-39 by 3's
                 Brown p.265-267/3,6,9,16,17,23-25
12/11 6 Trig functions, Angular & linear momentum
           HW Demana p.344/40-42,48,50,51 and
                              p.352-354/13,17,19-24,51-56,62-66

12/14 Circular Functions and the Unit Circle
           HW Demana p.365/1-9 odd,17-20,27,29,33-49 odd,53
12/16 More Practice: CW p.366-367/61-70 (bring the book or pages)
           HW finish CW plus p.366/55-60

Review answer key

2009-12-08T22:39:00.001-05:00

You can download the answer key for the exp and log review here.

More with Exp and Log

2009-11-30T11:47:00.002-05:00

11/23 3.3 Log Functions (inverse of Exp Functions)
                  HW p.291-293/1-17 odd, 19-22, 27-51 by 3's, 55,58,67
11/25 3.4 Properties of Logs
                  CW/HW Worksheet of problems using log properties
11/26 Thanksgiving!

11/30 3.4 Extra Problems on Log Properties
                  HW finish handout
12/02 3.5 More Log Properties & Applications
                  HW listed on handout
12/03 3.5 Continue with Application Problems
                  HW listed on handout
12/04 3.5   Using semi-log paper
                  HW finish handout

The test on this chapter may be on Wednesday, 12/09.

Starting Exponential and Log Functions

2009-11-19T08:55:00.002-05:00

This is this week in Exponential functions (Ch 3).

11/16 Intro to the difference between polynomials and exponentials
           HW p.270/1-19 odd, 25-30, 31-35 odd
11/18 Rational Quiz
11/19 Characteristics of Exp and Logistic Functions, base e
           HW p.271-272/22,23,39,40,45-49 odd,51-55,57,58,61-64
11/20 Exp and Logistic Modeling
           HW Demana: p.279-280/1-17 odd, 19-22, 29-39 odd, 40
                 Brown: p.183-185/7-21 odd, 24

Last bit of Chapter 2

2009-11-12T10:36:00.004-05:00

We are spending an extra day on section 2.7 for better mastery. Here is a pile of homework.

11/12 p.237-238/43,45,47,54,57,59 and p.585/15,21,22,33,35
11/13 p.246/3-24 by 3's,29,41 and p.586/37-42 and Brown p.35/31-40

Rational Functions

2009-11-07T22:57:00.003-05:00

Rational functions are the ultimate study of polynomials. You need the zeros of the numerator polynomial to find the zeros of the rational function. You need the zeros of the denominator polynomial to find the discontinuities. You need to divide the numerator polynomial by the denominator polynomial to find the polynomial asymptotes for the end behavior. And we have already done lots of graphs from clues with asymptotes!

11/06 2.7 Rational Function review
                  HW look over "end behavior model" worksheet again,
                   do "more problems with rational functions" and
                   p.236/9,12,15,21-24,27-36 by 3's, 37-41 odd
                  (do not be alarmed! 7 of the them are matching graphs)

11/09 2.7 More with rational functions and power functions
11/11 Veterans' Day - no school
11/12 Solutions and Inequalities
11/13 Quiz of 2.2, 2.7, 2.8

Answer Key for Complex Recap

2009-10-29T13:15:00.003-04:00

Here is the answer key for tonight's worksheet.

Moving on to Complex Numbers

2009-10-28T23:00:00.003-04:00

Sorry this is a bit behind the date.

10/22 Pop Quiz and the Euclidean Algorithm HW finish worksheet

10/23 2.5 Complex Numbers (notation, conjugates, operations)
                   HW (due Wed, 10/28) p.218-221/ Quick Review 8, 10 and
                    Exercises/6-8,14-16,23,24,26,27,31,32,33-39 odd, 41-44,
                                    45-53 odd, 59, 60, 62, 64
10/26 2.5 Complex Numbers (the complex plane, magnitude)
                   HW finish handout of book problems p.219/55, 57, 61, 63
10/28 2.6 Complex Zeros (Fundamental Thrm and Linear Factorization)
                   HW p.225-227/3-39 by 3's,46,51,53,57 plus worksheet of
                   problems p.222/Exploration and p.226/41-45, 50
10/29 Extra Problems
10/30 Quiz of anything from the chapter so far

11/02   More problems from throughout the chapter
11/04   Either still more problems or start 2.7
11/05 Test of 2.1-2.6

More with Polynomials

2009-10-13T16:13:00.004-04:00

Chapter 2 starts with an in-depth look at polynomials. We will be spending two days per section to make sure that we have really explored the topic.

10/15 2.3 Polynomial modeling
                  HW p.196-197/3-30 by 3's,38,41,45,46,51,54-56
10/16 2.3 Creating polynomial functions
                  CW/HW Worksheet plus HW p.198/65-75 odd

10/19 2.4 Zeros of polynomials (and many theorems
                  HW Demana p.208-212/3-36 by 3's, 49-55 odd, 74
                        Brown p.61/9-21 odd, 16, 25 (Factor Thrm for 16 & 25)
10/21 2.4 Finish up theorems with Rational Roots Theorem
                 HW GCF/LCM Worksheet
10/22         Word Problems to put it all together

The start of Chapter 2

2009-10-09T13:26:00.003-04:00

We are starting chapter 2 with modeling problems (word problems!). They all focus on polynomials so that you have a context for our more theoretical study of the material. Due to Columbus Day and a professional development day, one homework assignment will cover almost a week of real time.

10/09 Power functions and polynomial functions
HW Demana p.76/45 and p.170-174/35,37,49,51,54,55,
57,68-71 plus Brown p.42-43/38,44
Note: The problems in red will be done in class for H-Block.

If you need more practice with quadratic functions, look at Demana p.170/19-34.

Post test homework - Can you use your calculator?

2009-10-08T12:52:00.006-04:00

Our next chapter is on polynomials. This will be heavily calculator based (bring it every day!) and you should know how to use your calculator to find models based on data. If you forget, download a document that shows how to do quadratic regressions (best-fit quadratic functions).

read section 1.6
do p. 144-146/5 - 25 by 5's, 33, 35, 37, 40, 41

Moving the test

2009-10-05T16:36:00.001-04:00

To relieve some of the tension, I am translating the chapter test to Thursday, October 8th. Bring your questions on Wednesday.

Slight change to the syllabus

2009-10-01T15:11:00.002-04:00

After today's quiz you should have picked up the review handout. Your homework tonight is to do problems 1-8. Tomorrow we will go over a few things and then you should finish it.

Transformations

2009-09-24T08:26:00.003-04:00

We will spend about a week and a half practicing our transformation skills: vertical and horizontal reflections, dilations, and translations - singly and in combinations (section 1.5 in the Demana book). (We will return to this topic later when we add rotations.) Then we will put it all together and have a Chapter 1 test.

09/23 Post-quiz HW read Brown p.138-142; do p.143-144/5-10
09/24 Overview of the six transformations HW Double Horiz Transf
09/25 Four Representations of transformations HW More Problems

09/28 Yom Kippur (no school)
09/29 H-Block: continue to work on More Problems on Transformations
09/30 Describing Transformations with coordinates HW finish handout
10/01 Quick Quiz to see how you are doing
10/02 Review chapter and transformations within it HW Extra Problems

10/05 F-Block: Reciprocal and Involution
10/06 H-Block: Reciprocal and Involution
10/07 Chapter 1 Test

Slight change to the syllabus

2009-09-14T22:01:00.001-04:00

I am adding a day to the previously posted syllabus with more review/extension problems. Here is the revision:

9/18 Start Giant Review packet of function description, notation and operations

Rosh Hashanah weekend. Work on the packet if you want/can.

9/21 or 9/22 Continue working through the packet, ask questions

9/23 Assessment of 1.2-1.4 and 10.3 (everything we have covered so far)

Starting Chapter 1

2009-09-07T16:31:00.005-04:00

We begin by jumping right into chapter 1, section 2, describing functions; we will continue with our function discussion for the next two weeks. Below is a proposed syllabus. It may change so check back if you are not certain

9/02 1.2 Graphical, Numerical, Algebraic solutions; Domain & Range
                HW Domain and Range worksheet
9/03 1.2 More Function Vocabulary: Increasing/Decreasing, Extrema,
                 Continuous, End Behavior, Symmetry (Even/Odd)
9/04 no school

9/07 Labor Day
9/08   1.2 Worksheet covering Function Vocab
                 HW finish worksheet (F-Block got this on 9/03)
9/09 10.3 Limits: what they are, their notation, how to evaluate
                  HW p.96-97/1-11 odd, 14, 19-31 odd, 35-41 odd and
                        p.781-782/1-21 odd, 23, 24, 35-43 odd
9/10 no class Half Day C B A G
9/11 1.2 Asymptotes; Continuity; Types of Discontinuities
                HW 97-98/43-49 odd, 51-53, 65-67, 70

9/14 or 9/15 1.3 Ten Basic Functions
                HW p.105-107/3-36 by 3's, 41, 44, 45
9/16 1.4 Function Operations
                 see tomorrow's HW (two nights of homework all due 9/18)
9/17 1.4 Inverses
                HW p.122-125/1-19 odd,31-51 odd,57,58,66 plus Worksheet
9/18 Review function vocabulary, notation and operations

9/19 or 9/20 Assessment of Describing and Manipulating functions (this date may change!)

After this we will start transformations - really a continuation of our study of functions but a topic unto itself in terms of how the functions are being manipulated.

Welcome!

2009-09-03T12:08:00.000-04:00

Welcome to Honors Advanced Math - the most diverse math class offered by LHS. This year you will learn a lot of really interesting math - great in its own right as well as offering an excellent preparation for any subsequent math class that you take.

A hint for success: KEEP UP WITH YOUR HOMEWORK! Many ideas are introduced as thought provoking questions in the homework before being explained or just built on in subsequent classes. If you have never tried them then you will miss out.