Complete the following questions for our next lesson.
Page 346 questions 1, 2b, 3, 4adg
Welcome to IB Mathematics with Dr. McDonald!
Greetings from Dr. McDonald!
This website will be used to provide links to useful course materials, information about tests and homework assignments, and additional resources that you may find useful.
Some of the content is password protected, and you’ll get the password in our first class together.
I’m looking forward to working with all of you, and we’ll be getting started very soon!
Most of the time you’ll be able to find me in Room 0181, and if you’d like to contact me by email I’m available at dmcdonald@mulgrave.com.
At the moment, you can find mored detailed course information (and resources) in the relevant resources page:
Lines and Vectors
Have a look at questions in this file before our next lesson.
Vector Equations of Lines
Have a look at the following questions before our next lesson. (The first two most of you have done in class, the second is new for everyone.)
- Find a vector equation of the line passing through \(A(1,3)\) and \(B(2,-1)\).
- Find the distance of the point \(A(1,3)\) to the line \(y=2x-2\).
- Find the distance from the point \(A(1,3)\) to the line \(\displaystyle{\vec{r}=\begin{bmatrix}4\\2\end{bmatrix}+\lambda \begin{bmatrix}4\\1\end{bmatrix}}\).
End-of-Year Test
Our end-of-year test on Sunday will be 1 hour and 30 minutes long, and calculators will be permitted.
All topics covered this year may appear, and your past tests, along with the end-of-chapter questions from the textbook, will help you to prepare. Good luck, and post any questions you may have below!
Applications of the Dot Product
Complete the following questions for our lesson tomorrow.
Page 642 questions 1ace, 2bc, 7a, 9, 12, 16, 19, 22
Working with Vectors
Complete the following questions for our lesson tomorrow.
Pages 417–419 questions 10, 12, 14, 15, 18, 20, 24
You’ll find it useful to read the textbook pages 412–416 (especially the examples) when answering some of these questions. The textbook also mentions something they call a direction angle for a vector, and although we won’t have much use for that angle right now, it may be useful later in the course, so I suggest you look at that material as well (in particular, look at the example on page 411).
Introduction to Vectors
Complete the following questions (in addition to those left on the board) for our next lesson.
Pages 407–409 questions 1, 3, 6, 10, 12, 19, 20, 22
Trigonometry Test [Updated]
On Tuesday, the 2nd of May, we’ll have a test on trigonometry (corresponding to the material in Chapters 7 and 8 in our textbook).
Complete the following questions in preparation for the test, and we’ll discuss solutions in our next lesson.
Page 393 questions 18 and 20 (20 is challenging!)
Pages 394–397 questions 5–9, 11–13, 18
Pages 348–349 questions 17–23
Update: The date of the test was corrected to Tuesday.
Applications of Trigonometry
Now that we’ve looked at the Sine and Cosine Rules (as well as the ambiguous case of the sine rule), we can apply these to solve some 3D problems.
Have a look at the following questions tonight.
Pages 381–382 questions 24 and 25
Pages 391–393 questions 12, 17, 19