Complete the following questions over the break (and don’t forget to also work on questions from the review materials that were sent to you!).
Exercise 12J questions 1abf, 2cde, 4, 6, 7, 10, 11, 13, 14, 15, 19, 20, 23
11 HL Higher Derivatives
Complete the following questions before our next class.
Exercise 18J questions 1bd, 2def, 7, 10, 11, 15
11 HL Derivatives of Inverse Trigonometric Functions
I know this is now a bit late, but try to complete a few of these before tomorrow’s class.
Also, can you prove that the derivative of an even (odd) function is odd (even)? (Try using the chain rule.)
Exercise 18I questions 3bf, 4ab, 5
11 SL Parallel Vectors
Complete the following questions before our next class.
Exercise 12H questions 2–5, 9ab
11 HL Implicit Differentiation
Complete the following questions before our next lesson. Remember, you can use GeoGebra or Desmos to check your answers!
Exercise 18E questions 1dgij, 2bcf, 3
Exercise 18F question 9
11 SL Magnitude of a Vector
We’ve now covered a lot material in the past lesson or two, which allows us to dive in and try questions from a number of different sections.
Complete the following questions before our next class.
Exercise 12D questions 1abc, 2, 5
Exercise 12E questions 4abefgh, 6, 7abcgh, 9
Exercise 12F questions 1, 3–5
Exercise 12G questions 3, 6, 11
11 HL The Quotient Rule and Other Derivatives
Complete the following questions before our next class.
Exercise 18D questions 2cd and 3
Exercise 18F questions 2fg, 3b, 5
Exercise 18G questions 2dgh, 3be, 5
Exercise 18H questions 2de, 6g
11 HL Math End-of-Year Exam
When and where is the exam?
- The exam is on Tuesday, June 5, starting at 8:30 am, and will be 2.5 hours long.
- All exams are written in the field house.
What will the exam be like?
- The exam will be out of approximately 120 marks.
- TI-83/84 calculators are allowed, but memories must be cleared of all non-approved apps. The TI-89 calculator may NOT be used.
- Bring your own blue or black pen, pencils (2), eraser, ruler, and calculator. Please note that no sharing of materials will be allowed during the exam.
- The IB Mathematics HL Formula Booklet will be provided.
- Do NOT bring any notes or books into the exam.
How much is the exam worth?
The final grade in Grade 11 Higher Level Mathematics is based on the IB level bands. Your exam result will be a key component of your final mark as it will provide a good picture of the level of your knowledge in each of the topics covered this year.
What will be on the exam?
The exam will be based on Chapters 1–18* of your textbook. These chapters cover five topics of the course:
- Topic 1 – Algebra (exponents, logarithms, sequences and series, complex numbers, polynomials, the binomial theorem, proof by induction, etc.)
- Topic 2 – Functions and equations (transformations, composition, inverse functions, quadratics, rational functions, inequalities, etc.)
- Topic 3 – Circular functions and trigonometry (unit circle definitions, radian measure, identities, inverse and reciprocal functions, etc.)
- Topic 4 – Vectors (vector equations of lines and planes, magnitude, dot and cross products, etc.)
- Topic 6 – Calculus* (limits and derivatives, rules for differentiation, tangent lines and derivatives, etc.)
How should I study for the Math 11 HL exam?
- Do as many practice problems as you can, the more practice the better. A review question set will be distributed, and this should be your principal resource when preparing for the exam. Also make use of the relevant end-of-chapter Review Set questions, and any other resources that are made available.
- Check your answers as you go along. Get help if you have any questions.
- Review your notes, tests and any terms/rules that will be needed for the exam.
- Math help will be available every day (before and after school, or by appointment) in room 0181 until the exam.
*Subject to some adjustment based on the material we cover leading up to the exam.
11 SL Vectors in Component Form and “Unit Vector Form”
The vector shown below is given in component form on the left, and unit vector form on the right (although these terms are sometimes used interchangeably).
\[\begin{bmatrix}2\\-3\end{bmatrix}=2\vec{i}-3\vec{j}\]
The questions below will involve working with these ways of representing a vector. Complete these questions before our next class.
Exercise 12C questions 2ac, 3
11 HL The Product Rule
Complete the following questions before our next class.
Exercise 18C questions 3bcd, 4
Exercise 18H (here you can use the results we derived in class) questions 1dfg, 2ahj, 3a