Mr. Alei's Math - Desert 2012-13: February 2013

Alg 2 - 2/25/13

A bit more on Inverses, then on to graphing roots and solving radical equations. Quiz on perfect cubes coming up... See you in class,
Mr. Alei

Algebra 2 Assignments: Week of 2/25/13 (Last Week- 2/18/13)

Mon 2/25: 6.4b p. 443 #31-49 by 3
Tue 2/26 & Wed 2/27: 6.5 p. 449 #3-33 by 3 and 35-38
Thu 2/28 & Fri 3/1: 6.6 p.456 #3-51 by 3 and 56-60 all

The fine print: See sidebar at right for links to previous assignments. Click on linked assignments to download notes for that section. Dates above are when homework is assigned. It is always due on the following class meeting.
Updated 2/24/13 8:14 am A: ManageBac I: ManageBac A:Edline I: Edline

Pre DP - 2/25/13

JTG on Monday, then on to some more triggy (and not so triggy) ideas. See you in class,
Mr. Alei

Pre-DP Assignments: Week of 2/25/13 (Last Week - 2/18/13)

Mon 2/25 :Journey Through Genius
9. Bernoulli - Divergence of Harmonic Series (Ceryn, Drake)
10. Euler - Sum of 1/k² (Isaac, Jeremy)
11. Euler - 2²ⁿ + 1 is not always prime! (Armand, Melib)
Tue 2/26 :Discuss Ex 2: 66.10,67.07,67.11,68.05,68.06,68.11,69.04,69.10
Thu 2/28 :Discuss Ex 2: 70.09,70.10,72.01,73.02,73.03,73.11,74.10,76.03

Coming up:
Journey Through Genius Assignment
Mon 3/4 :Journey Through Genius
12. Cantor - Non-denumerability of the continuum (Melib, Taylor)
13. Cantor - Cantor's Theorem (Oliver, Ceryn)
Tue 3/5 :Quiz – JTG & Trig Ideas
Discuss Ex 2: 78.01,78.04,78.09,79.02,79.06

Semester 2 Exeter Problem List

The fine print: See sidebar at right for links to previous assignments. Click on linked assignments to download notes for that section. Dates above are when homework is to be discussed. This has changed as of this week!
Updated 2/24/13 8:25 am ManageBac Edline

SL 1 - 2/25/13

We'll delve into the last ideas on probability this week, but gradually with plenty of time to practice. So put some time into your explorations too. See you in class,
Mr. Alei

SL 1 Assignments: Week of 2/25/13 (Last week - 2/18/13)

Mon 2/25:
15J: #8-11
Any QB not done
Tue 2/26:
15K: #1-8 (Independent events)
QB: #13,15 (Finish them up (independence))
Thu 2/28:
Review 15A #1-8
Review 15B #1-7

Statistics & Probability Unit Plan (Updated 1/20/13)
Probability: Smartboard Notes
QB Probability Practice MarkScheme

Exploration Resources
Oxford chapter on Exploration
Example papers (score shown in parens)
Ex 1: Codes (15)      Comments
Ex 2: Totient Theorem (16)      Comments
Ex 4: Minesweeper (5)      Comments
Ex 4: Music (9)      Comments
Ex 5: Newton Raphson (11)      Comments
Ex 6: Polar Diagrams (20)      Comments
Ex 7: Rainfall (16)      Comments
Ex 8: Spirals (16)      Comments
Ex 9: Tower of Hanoi (14)      Comments
Topic Ideas
sport, archaeology, computers, algorithms, cell phones, music, sine, musical harmony
motion, e, electricity, water, space, orbits, food, volcanoes, climate change, politics
diet, Euler, games, symmetry,architecture, codes, the internet, communication
tiling, population, agriculture, viruses, health, dance, play, pi (π), local food
geography, biology, business, economics,physics, chemistry,
information technology in a global society, psychology, advertising

SL 2 - 2/25/13

More on integration this week, looking at integrating functions of x and beginning on some applications. See you in class,
Mr. Alei

SL 2 Schedule: Week of 2/25/13 (Last Week - 2/18/13)

Mon 2/25:
21D: #1begh,2beh,3,4,5bcef,6cfi,7bc,8-13 (Integrating f(ax + b))
QB: 21,23,24b,28,33a,38,46b,47(power),30a,39*a
Wed 2/27:
21E.1: #1col2,2 ( Integrals w/calculator)
21E.2: #2-10 even & 9 ( Integrals w/calculator)
QB: 45b(trig),30b,32,41(exp),31(ln&trig)49(ln)
Fri 2/29:
22A.1: #1,2acehj,3,4 (Areas below curves (1 a-l))
22A.2: #2-16even (Areas between curves)
QB: 2d,9*(d.iv),16*d,17*(ab),25*(xdy),29*,35*de,37*e,39*b,43*,50*(trig),40*d,44d(rational)
Note: Many problems - use your discretion

Calculus Unit Plan (Updated 1/20/13)
Smartboard Notes
Calculus - Differentiation
Calculus - Differentiation Applications
Calculus - Differentiating other functions
Calculus - Integration
IB Practice:
IB Calculus Practice MarkScheme
More IB Calculus Practice (0607) MarkScheme

HL 2 - 2/25/13

The plan is to finish up with general convergence ideas, then focus on power series, including Maclaurin and Taylor series by Friday. See you in class!
Mr. Alei

HL 2 Assignments: Week of 2/25/13 (Last Week - 2/18/13)

Mon 2/25:
3.3: #2-16even (Radius & interval of convergence)
QB: 4a,10a,18
Wed 2/27:
3.4: #1c,2bc,3,4,6,8,9,12,14 (Power Series)
Fri 3/1:
4.1: #1-11 (Series expansions)
QB: 12,20,21,22,23*,24,25b,27a

Option 10 Complete Unit Plan (QB included) (Updated 1/20/13)
Resources:
PDF of IBID text book
IBID Solutions example (Edit the folder and filename in the URL to get other answers)
PDF of Pearson text book
Pearson answers
Smartboard Notes: Differential Equations
Smartboard Notes: Sequences & Series
Sequences and Series Toolbox
IB Practice:
IB Separable DE Practice MarkScheme
IB Option 10 Practice MarkScheme

Alg 2 - 2/18/13

This week we will work on some ideas about functions - composition and inverses - before moving on with rational and radical functions. Get your fundamentals solid! See you in class,
Mr. Alei

Algebra 2 Assignments: Week of 2/18/13 (Last Week- 2/11/13)

Mon 2/18: No School - President's Day
Tue 2/19& Wed 2/20: 6.3 p. 432 #3-33 by 3, 43, 45
Thu 2/21 & Fri 2/22: 6.4a p. 442 #4-19 by 3, 22-27 all

The fine print: See sidebar at right for links to previous assignments. Click on linked assignments to download notes for that section. Dates above are when homework is assigned. It is always due on the following class meeting.
Updated 2/18/13 10:30 am A: ManageBac I: ManageBac A:Edline I: Edline

Pre DP - 2/18/13

More work with Trig this week, and a bit with circles. See you in class,
Mr. Alei

Pre-DP Assignments: Week of 2/18/13 (Last Week - 2/11/13)

Mon 2/18: No School - President's Day
Tue 2/19: Discuss Ex 2: 59.08,60.08,60.09,60.10,61.02,61.03,61.04,61.08
Thu 2/21: Discuss Ex 2: 62.03,62.04,62.05,64.07,65.02,66.01,66.03,66.04

Coming up:
Journey Through Genius Assignment
Mon 2/25: Journey Through Genius
9. Bernoulli - Divergence of Harmonic Series (Ceryn, Drake)
10. Euler - Sum of 1/k² (Isaac, Jeremy)
11. Euler - 2²ⁿ + 1 is not always prime! (Armand, Melib)
Tue 2/26: Discuss Ex 2: 66.10,67.07,67.11,68.05,68.06,68.11,69.04,69.10

Semester 2 Exeter Problem List

SL 1 - 2/18/13

On to set notation, Venn diagrams, and some of the more algebraic ways of working with probability. These are the core ideas of probability so be sure you practice plenty and understand them. Also, you should be working on your exploration some this week - a draft is due before Spring Break! See you in class,
Mr. Alei

SL 1 Assignments: Week of 2/18/13 (Last week - 2/11/13)

Mon 2/18: No School - President's Day
Tue 2/19:
15I.1: #1-9 (Probabilities w/Venn diagrams)
15I.2: #1-3 (Venn diagrams to confirm identities)
QB #11,12,14
Thu 2/21:
15J: #1-6 (Laws of probability, conditional probability)
QB #4,7,9,10
Due Monday (questions)

Statistics & Probability Unit Plan (Updated 1/20/13)
Probability: Smartboard Notes
QB Probability Practice MarkScheme

SL 2 - 2/18/13

We'll finish up with differentiation, and move on to Integration this week. We'll have another differentiation quiz on Friday - while it will now include functions other than the power function, it is an opportunity to assess your current understanding of the ideas from the previous quiz. See you in class,
Mr. Alei

SL 2 Schedule: Week of 2/18/13 (Last Week - 2/11/13)

Mon 2/18: No School - President's Day
Wed 2/20:
21A: #1-3 (Finding antiderivatives)
21B: #1,2defg,3,4 (Fundamental theorem)
Fri 2/22: Differentiation Unit Quiz
21C.1: #2-11 (Integration with & without boundary conditions)
21C.2: #1-8 last col, 9 & 10 (Integration practice)
QB: 36,42,48

HL 2 - 2/18/13

Approximating series and alternating series this week. Looks like we will be able to finish the Option before Spring Break without undue stress (you be the judges!). That's good news as it will give us more time to review. See you in class!
Mr. Alei

HL 2 Assignments: Week of 2/18/13 (Last Week - 2/11/13)

Mon 2/18: No School - President's Day
Wed 2/20:
2.2: #1,3,4,6b,7a,9,11,12 (Approximating series)
QB: 19
Fri 2/22:
3.1: #1-7 (Alternating series)
3.2: #1-11odd (Conditional & Absolute convergence)
QB: 10b

Alg 2 - 2/11/13

On to rational exponents and exponential equations. The first couple lessons should be a piece of cake if you know your exponent rules. If not, it's another chance to solidify them. Be sure to retake your perfect square patterns quiz if you have not yet passed it. See you in class,
Mr. Alei

Algebra 2 Assignments: Week of 2/11/13 (Last Week- 2/4/13)

Mon 2/11: 6.1 p. 417 #7-31 odd, 36-57 by 3, 60-62 all
Tue 2/12 & Wed 2/13: 6.2 p. 424 #3-81 by 3 (a lot, but quick ones!)
Thu 2/14 & Fri 2/15: No school - Student Led Conferences

The fine print: See sidebar at right for links to previous assignments. Click on linked assignments to download notes for that section. Dates above are when homework is assigned. It is always due on the following class meeting.
Updated 2/10/13 7:23 pm A: ManageBac I: ManageBac A:Edline I: Edline

Pre DP - 2/11/13

JTG on Monday and then one set of problems for the long weekend. Do them well! You won't get a lot of skill practice with trig functions. Rather, once you know something, the next time you see it will be in the context of another problem - like in the real world! See you in class,
Mr. Alei

Pre-DP Assignments: Week of 2/11/13 (Last Week - 2/4/13)

Mon 2/11: JTG Presentations
7. Newton – Binomial Theorem (Karen, Eliza)
8. Newton – Approximation of Pi (Drake, Armand)
9. Bernoulli - Divergence of Harmonic Series (Ceryn, Drake)
Tue 2/12: Discuss Ex 2: 56.10,57.02,57.04,57.11,58.01,58.03,58.04,58.05
Thu 2/14: No school - Student Led Conferences

Coming up:
Journey Through Genius Assignment
Mon 2/18: No Class - President's Day
Tue 2/19: Discuss Ex 2: 59.08,2,60.08,2,60.09,2,60.10,2,61.02,2,61.03,2,61.04,2,61.08

Semester 2 Exeter Problem List

SL 1 - 2/11/13

Some good juice this week (for a change!) These are big foundational ideas. So be prepared to drop in fully. Also, be working on your exploration, I want a solid topic choice with some details from everyone by Thursday. See you in class,
Mr. Alei

SL 1 Assignments: Week of 2/11/13 (Last week - 2/4/13)

Mon 2/11:
15G: #1-9
QB: 1,2,3,5,6,8,16
Tue 2/12:
15H: #1-9 (Binomial probabilities)
Thu 2/14: No school - Student Led Conferences

Statistics & Probability Unit Plan (Updated 1/20/13)
Probability: Smartboard Notes
QB Probability Practice MarkScheme

SL 2 - 2/11/13

We'll look at your derivative tests on Monday, then continue practicing applications, now including exponential and natural log functions. On Wed, we'll take care of trig functions. Time to really buckle down! See you in class,
Mr. Alei

SL 2 Schedule: Week of 2/11/13 (Last Week - 2/4/13)

Mon 2/11:
19D: #1-21odd (Derivatives of Exponents and Logs)
Wed 2/13:
20A: #1ghi,2ijkl,3ijkl,5-11 odd,12 (Derivatives of trig functions)
20B: #1,3,5 (Derivatives of trig functions)
QB: 1*,35*a-c(trig&exp) ,37*a-d(trig),45a
Fri 2/15: No school - Student Led Conferences

Calculus Unit Plan (Updated 1/20/13)
Smartboard Notes
Calculus - Differentiation
Calculus - Differentiation Applications
Calculus - Differentiating other functions
IB Practice:
IB Calculus Practice MarkScheme

HL 2 - 2/11/13

We'll shoot for finishing the convergence tests this week - Ratio Test on Monday, Integral test on Wed. That'll leave you with plenty of time for practice over the long weekend before we move on to approximating series with integrals. See you in class!
Mr. Alei

HL 2 Assignments: Week of 2/11/13 (Last Week - 2/4/13)

Mon 2/11:
2.1b: #6,16 (Ratio test)
QB: 2a,3,4b,5a,7b.i
Wed 2/13:
2.1c: #7-15
QB: 2b,5b,6,7a.ii, 8abc,16bc
Fri 2/15: No school - Student Led Conferences

Alg 2 - 2/4/13

OK folks, we finish up polynomials this week. A bit on modeling on Monday, review on Tue/Wed and the Unit Test on Thu/Fri. Come in for extra help if there are ideas that you're struggling with - before school, lunch, B block, and after school are all good times. See you in class,
Mr. Alei

Algebra 2 Assignments: Week of 2/4/13 (Last Week- 1/28/13)

Mon 2/4: 5.9 p. 397 #4-28 by 3
Tue 2/5 & Wed 2/6: Ch 5 Review p. 402 #3-39 by 3
Thu 2/7 & Fri 2/8: Chapter 5 Test

The fine print: See sidebar at right for links to previous assignments. Click on linked assignments to download notes for that section. Dates above are when homework is assigned. It is always due on the following class meeting.
Updated 2/3/13 7:08 pm A: ManageBac I: ManageBac A:Edline I: Edline

Pre DP - 2/4/13

OK folks, we'll finish up our work with complex numbers with a bit more this week. Look for a quiz at the end of next week. You should also be feeling a shift from vectors toward trig at this point. See you in class,
Mr. Alei

Pre-DP Assignments: Week of 2/4/13 (Last Week - 1/28/13)

Mon 2/4: JTG Presentations
4. Archimedes – Area of a circle (Jeremy, Darcy)
5. Heron – Area of a triangle (Eliza, Nick)
7. Newton – Binomial Theorem (Karen, Eliza)
Tue 2/5: Discuss Ex 4: 19.09,21.04; Ex 2: 52.03,52.10,52.11,54.01,54.03,54.04
Thu 2/7: Discuss Ex 4: 22.08,23.03; Ex 2: 54.10,54.11,55.05,56.02,56.03,56.09

Coming up:
Journey Through Genius Assignment
Mon 2/11: JTG Presentations
8. Newton – Approximation of Pi (Drake, Armand)
9. Bernoulli - Divergence of Harmonic Series (Ceryn, Drake)
10. Euler - Sum of 1/k² (Isaac, Jeremy)
Tue 2/12: Discuss Ex 2: 56.10,57.02,57.04,57.11,58.01,58.03,58.04,58.05

Semester 2 Exeter Problem List

SL 1 - 2/4/13

Back to "regular" classes this week. Remember that you should be working on your exporation "in the background" from now through the end of the year. I'll give intermediate deadlines and we'll spend at least two more Mondays working in class on them. But for now, we'll move on to Probability, most likely anyway. See you in class,
Mr. Alei

SL 1 Assignments: Week of 2/4/13 (Last week - 1/28/13)

Mon 2/4:
15A: #Opener problem, 1-4 (Vocabulary, experimental probability)
15B: #1-3 (Sample space, Tree diagram)
Exploration - Written status report due
Tue 2/5:
15C.1: #1,3,5,6,7 (Theoretical probability, complementary events)
15C.2: #1-3 (Using grid diagrams)
15D: #1-3 (Tables of outcomes)
Thu 2/7:
15E.1: #1-6 & supplement (Compound events, independent events)
15E.2: #1-4 & supplement (Dependent events)
15F: #1-6 (Tree diagrams)

Statistics & Probability Unit Plan (Updated 1/20/13)
Probability: Smartboard Notes

SL 2 - 2/4/13

We'll finish up the fundamentals of derivatives on Monday with further examination of the second derivative. Then it's on the derivatives of other functions, beginning with exponentials and logs. We'll have a quiz on Friday on the foundations of derivatives, but it won't cover exponentials or logs. See you in class,
Mr. Alei

SL 2 Schedule: Week of 2/4/13 (Last Week - 1/28/13)

Mon 2/4:
18F.1: #2defgh (Inflection points)
18F.2: #1bc,2 (Curve relationships)
Wed 2/6:
19A: #1dhlop,2efg,3def,4,6,7bd (Derivatives of Exponents)
19B: #1cdgh,2,3befgh,4,5,7 (Working with Logs)
Fri 2/8: Quiz on Derivative Foundations
19C: #1jklmn,2ghi,3fghi,4,6 (Derivatives of Logs)
QB: 9*(a-d.iii)

Calculus Unit Plan (Updated 1/20/13)
Smartboard Notes
Calculus - Differentiation
Calculus - Differentiation Applications
IB Practice:
IB Calculus Practice MarkScheme

HL 2 - 2/4/13

We move on with l'Hospital's Rule and Improper integrals before getting into the bread and butter - convergence tests. See you in class!
Mr. Alei

HL 2 Assignments: Week of 2/4/13 (Last Week - 1/28/13)

Mon 2/4:
1.3: #1-5c,7,8ghi,10,13,16 (l'Hospital's rule)
QB: 11,13a,14,16a,34b
Wed 2/6:
1.4: #1cde,2,3c,4c,6,12-16,19,20,24 (Improper integrals, comparison test)
QB: 7a.i,9*a,17 (17 is partial fractions - skip it or try it, but don't dwell on it)
Fri 2/8:
2.1a: #1-5 (Basics), #11ab,13 (Limit comparison test)
QB: 1, 7b.ii

Option 10 Complete Unit Plan (QB included) (Updated 1/20/13)
Resources:
PDF of IBID text book
IBID Solutions example (Edit the folder and filename in the URL to get other answers)
PDF of Pearson text book
Pearson answers
Smartboard Notes: Differential Equations
Sequences and Series Toolbox
IB Practice:
IB Separable DE Practice MarkScheme
IB Option 10 Practice MarkScheme