On Friday, December 8th we’ll have our test on trigonometry with triangles (Chapter 11). I recommend selecting questions from the end of chapter review sets, along with questions from the the end of Chapter 8 from the Pearson textbook.
12 SL Kinematics and Applications of Derivatives
Complete the questions below before our next class.
Exercise 17A.1 question 2
Exercise 17A.2 questions 1, 2, 4, 6
Exercise 17B questions 1, 2, 5, 8, 9, 10, 13
12 SL Applications of Derivatives Test [updated]
On Monday, December 11th we’ll have a test on applications of derivatives (Chapters 16 and 17 from our textbook).
Update: You can a collection of suggested review questions (and solutions) on the SL Resources page. These will be a very good resource to use when preparing for the test.
11 SL Exponents and Logarithms Test
Following our discussion on Thursday, the test on Exponents and Logarithms (Chapters 3 and 4 in our textbook) will be on Tuesday, November 28th. Calculators will be permitted.
Review Questions
Exercise 3D.2 questions 1ade, 2 adg, 3a
Review Set 3A questions 2, 5, 9, 11
Review Set 3C questions 10, 11
Review Set 4A questions 1abf, 2–5, 7, 8, 11, 12
Review Set 4B questions 3, 4, 5, 6, 8, 10
Review Set 4C questions 2, 7, 8, 9
There are two files linked below: the first contains questions only, and the second contains both questions and solutions (one of the questions will be familiar). You might want to use the questions below as an at-home practice test. Give yourself about one hour to answer the questions, then check your answers.
11 SL Logarithms: Change of Base + Applications
Complete the following questions before class on Monday (these questions will be useful as part of your preparation for the test on Tuesday).
Exercise 4E 1, 3, 6abe, 7a
Exercise 4F 1ab, 3a, 4
Exercise 4H 1, 7, 8, 11
12 SL Points of Inflection and Curve Sketching
Complete the following for our next lesson.
Exercise 16D.1 questions 2cf, 3efh, 9
Exercise 16D.2 questions 1, 2
Review Set 16C question 13
11 HL Trigonometric Equations and Identities Test
On Friday, November 24th we’ll have a test on trigonometric equations and identities (this includes all of the material we’ve covered on trigonometry, but does not include the sine and cosine rules, which will come on the next test).
To prepare for this test, I suggest you look at the review sets in Chapters 10, 12, and 13, and also have a look at Chapter 7 in the Pearson textbook.
12 SL Stationary Points
In class we defined a stationary point, and noted that a stationary point may be a local maximum or a local minimum. There is, however, a third option, as illustrated by the function \(f(x)=x^3\) when \(x=0\). While the function does have a stationary point at \(x=0\), it is neither a local maximum, nor a local minimum, instead, it’s called a point of inflection.
Read Section 16C, then try questions 1 and 2ac in Exercise 16C before our class on Wednesday.
11 HL The Ambiguous Case
After having solved The Ambiguous Case, try the following questions tonight.
Exercise Set 11C.2, questions 1, 3, 5, and 9
11 SL Laws of Logarithms
Use the laws of logarithms to answer the following questions for the start of our next class on Thursday.
Exercise 4C.1 questions 1adghko, 2adg, 3ad, 4de, 5ad, 6abde, 7c Exercise 4C.2 questions 1aef, 2ace, 4abd
Exercise 4D.1 questions 1, 2, 4, 6abef
Exercise 4D.2 questions 1abhk, 2ae, 4ab, 5b