11 Mathematics HL – Page 23

September 27, 2017October 2, 2017

11 HL Induction and the Binomial Theorem Test [Updated]

On Tuesday, October 12th [note the revised date + content] we’ll have a test on induction and the binomial theorem (including combinations and permutations). Graphing calculators will be required for this test.

In order to prepare for this test, have a look at the questions listed below.

Review Set 8A (all)
Review Set 8B 2, 8–10
Review Set 8C 1, 2, 7–10

Review Set 9A 1–7
Review Set 9B 2
Review Set 9C 1, 2, 5, 7

You may also find some of the additional resources on the HL Resources page useful.

September 19, 2017September 19, 2017

11 HL The Binomial Theorem and Philosophy

After trying question Exercise 8G question 14, have a look at the quotation from Wittgenstein’s Tractatus Logico-Philosophicus.

With regard to the existence of \(n\) atomic facts there are \(K_n=\sum_{r=0}^n \left(\begin{array}{c}n\\r\end{array}\right)\) possibilities.

Show that Wittgenstein could equally have written “…there are \(K_n=2^n\) possibilities.”

September 18, 2017

11 HL The Binomial Theorem

Complete the following questions before tomorrow’s class.

Exercise 8G questions 1, 2, 3, 4, 6ab, 10, 15

September 15, 2017

11 HL Combinations and Permutations

Here is a (fairly long!) list of questions to work on before our next class.

You don’t need to complete all of these (we’ll continue with this material next class), but make sure you try at least one question from each section.

8A 2, 3, 6
8B 2
8C.1 3, 5ag
8C.2 2
8D 3, 5, 10
8E 3, 4, 9, 10

September 14, 2017

11 HL Polynomials Test

On Friday, September 22nd, we’ll have a test on polynomials (and complex numbers). As with all tests, some questions will require familiarity with past course material, and you may want to review your notes on transformations.

In order to prepare for the test, the exercises listed below would be a good start. Note that you may find additional questions in the materials available on the HL Resources page.

Review Set 6A questions 3–5, 9, 11–13, 16, and 17.

September 12, 2017

11 HL Working with Polynomials

Complete the following questions for our next lesson.

Exercise 6F.3, question 1ace, 2ace, 3acg, and 7.

September 8, 2017September 1, 2017

11 HL Challenge

Have a look at the questions in the PDF file here, and try to complete both questions before our next class. (Note that this is an optional homework assignment, so while I would encourage you all to try the questions, you need not complete them both.)

In addition to the mathematical content, your emphasis should also be on clarity of communication.

September 1, 2017

11 HL Polynomial Theorems

The questions below involve applications of the Fundamental Theorem of Algebra, and/or the other theorems we’ve now covered. Have these completed for our next class.

Page 193 question 3
Page 195 questions 3, 4
Page 196 questions 2, 4
Page 198 questions 1, 2, 5
Page 200 questions 2, 3, 6

August 31, 2017