Just a few reminders for the upcoming exams….
- The only required material for the math, physics and chemistry exams are pencils, erasers and calculators. Other material (paper, periodic table, etc) will be provided.
- Please remember to bring all texts and other borrowed material to the exam. These text books will be collected at that time. You are accountable for your texts!
- Physics students are permitted to bring their formula sheet if there no notes written on them.
- Anyone with questions about the material can contact me via e-mail or see me during the time frame between exams.
Best of luck!
This is a reminder that the oral exams for mathematics will be taking place on Wednesday afternoon and on Thursday during class of next week. The current schedule (and order) for the exams are:
Mathematics 11: Exam Information
General Exam Info
The grade 11 chemistry final is divided into 2 sections:
- Oral Component (10% of final grade)
- Written Component (40% of final grade)
The oral exam will be conducted on Wednesday January 21 (afternoon) and Thursday January 22 (in class). The oral exam is 5-10 minutes long and will require you to discuss a topic that we studied in class.
The written exam will be on Monday January 26th from 2PM-5PM.
In-class review time will be provided on January 19, 20 and the 21st or 22nd (differs for each student depending on date of oral exam).
There will be additional time available outside of class on the following dates:
Monday, January 19- 12:00-12:30PM (math only), 3:00-4:30PM (general)
Wednesday, January 21- 12:00-12:30PM (general)
Thursday, January 22- 4:00-5:30PM (math only)
Please bring questions or issues to tutorials to help structure the tutorial.
All the topics covered in the semester may appear on the exam. There is greater weight on post-midterm material than there is on pre-midterm material.
- Solving Systems of Equations (2 and 3 variables)
- Methods of solving system of equations
- Being able to apply specific methods to questions
- Finding Intercepts
- 3D Space (planes, points in 3 variables)
- Matrices- representation, determinants, inverses, operations
- Periodic Functions
- Sine and Cosine Functions
- Degrees and Radians
- Transformation of Functions
- Arc Length
- Angles in Standard Position
- Sine and Cosine Functions of Angles in Standard Position
- Trigonometric Functions (writing equations or drawing waves)
- Sine and Cosine of Special Angles
- Trigonmetric Identities (Proofs)
- Descriptive Statistics
- Normal Distribution
- Inferential Statistics
- Sampling Distribution
- Confidence Intervals
- Introduction to Binomials
This is just a reminder that there is a math quiz on Monday, December 15. This quiz only covers mathematical proofs involving trigonometric identities.
A few pointers for the quiz:
- remember to decompose your identity into the left hand side and right hand side and analyze each individually
- manipulate each side until you reach a common solution (it helps to convert to sines and cosines first)
- once your LHS=RHS, you can conclude that the identity is true for all values of x, thus Q.E.D.
- do not forget to include your rationale; if you are substituting values or identities for other values or identities, mention which one you are using (Pythagorean, Quotient, etc)
Here are some additional problems to help you study for your upcoming math test. Please make sure to go over your notes as well as the homework assignments that were originally done to help you review. It may also be useful to work with others in the class so that you can support and reinforce each other.
Additional Review Problems
Some more problems to try can be found in Mathematical Modelling, Book 2 on page 138, #17-19.
A reminder: There will be availability on Thursday at lunch and Friday at lunch. There will be no availability after school on Thursday.
There are special angles for which we know the cosine and sine values of:
cos( π/4) = √2/2
sin ( π/4) = √2/2
cos ( π/6) = √3/2
sin ( π/6) = 1/2
cos ( π/3) = 1/2
sin ( π/3) = √3/2
With these known values, we can solve for multiples of these angles. We can also apply these angles to solving trigonometric functions.
For homework, please complete questions 13, 14, 15 on page 136 of Mathematical Modeling Book 2. The chapter preceding this homework section has examples that might be useful to guide you.
Your answers should have a rationalized denominator and be in the simplest form.
There is a math test coming up this Friday, November 28, 2008. The test will cover all the topics between the midterm and Thursday, November 20th.
The topics include:
- Graphing y= sin(2π/p) or cos(2π/p)
- Modeling real situations using trigonometric functions
- Special angles
- Solving trigonometric equations using special angles
- Function y=tan x
Just a reminder about availability: I am available by request or during lunch most days if you have any questions or need and clarification before the test. Please make sure that you see me before the day of the test as I may not be able to help you on the day of.