Grade 8 English
MCR 3U1 – Functions
Exam Key
Teacher: Ms. Lee
Exam Time: Wednesday June 17th 2015, 1 – 3pm
Exam Location: Gym
Tutorials: Wednesday and Thursday 3:15-4:15pm (Room 309B)
Exam Format
Knowledge/Understanding, Communication, Application and Thinking
Short Answer Questions & Word Problems
These questions will require students to demonstrate knowledge and understanding of terms and concepts discussed in class. All course concepts studied this year, except for those evaluated on the midterm, will be covered.
| |Breakdown of Questions |
|Unit 4 |4 Short Answer Questions |
|Trigonometry | |
|Unit 5 |4 Short Answer Questions |
|Trigonometric Functions | |
|Unit 6 |4 Short Answer Questions |
|Discrete Functions | |
|Total | 12 Short Answer Questions |
Key Topics and Concepts
|Unit 4 – Trigonometry |
|Lesson # |Topics |
|3 |The Sine, Cosine and Tangent of Angles Greater than 90° |
|4 |Primary Trigonometric Ratios |
|5 |Reference Angles |
|6 |Reciprocal Trigonometric Ratios |
|7 |Proving Trigonometric Identities |
| |Review Question Package |
| |
| |
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| |
| |
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| |
|Unit 5 – Trigonometric Functions |
|Lesson # |Topics |
|1 |Modelling Periodic Behaviour |
|2 |Sketching the Graph of Sine and Cosine Function |
|3 |Stretches of Functions |
|4 |Translations and Combinations of Transformations |
|5 |Graphing Transformations of Sine and Cosine Function |
|6 |Writing the Equation of a Transformed Trigonometric Function |
|7 |Trigonometric Word Problems |
| |Review Question Package (Part 1) |
| |Review Questions Package (Part 2) |
|Unit 6 – Discrete Functions |
|Lesson # |Topics |
|1 |Arithmetic Sequences |
|2 |Geometric Sequences |
|3 |Arithmetic Series |
|4 |Geometric Series |
|5 |Recursive Procedure |
|6 |Pascal’s Triangle |
| |Review Question Package |
Proposed Study Schedule
• June 1 to 5
➢ CCT Review Presentations
• June 8 to 11
➢ Complete and submit assigned Unit 4, 5 and 6 End of Unit Review Question Packages for teacher feedback
➢ Complete and submit assigned Exam Review Question Packages for teacher feedback
➢ Make corrections to and redo questions in Test #2 and Test #3
Suggested Study Methods
• Go over your lesson notes and highlight key concepts
• Focus on the unit or specific lesson that you found most challenging, try redoing the assigned homework questions
• Highlight questions you are unable to answer in review question packages and request that they be taken up during class or attend a tutorial
• Make sure you complete every question in assigned review packages and check your solutions
Things to Remember when Writing a Math Exam
• Make sure you bring all your supplies (a few pencils, an eraser, a sharpener, a ruler and a scientific calculator)
• You may detach the formula sheet from the back of the exam
• Be calm! Read all the questions over thoroughly and carefully. Sometimes rereading the question will help. Make sure at the end you have answered the question asked.
• Always show your work. Write neatly and present your solution in an organized, easy to follow manner. Word problems should always be answered in a statement. Include units where appropriate.
• Don’t leave anything blank. Try your best to write something down because part marks may be given. Pace yourself wisely. Don’t give up if you can’t answer a question. Move on and come back to the question later.
• When you finish, check your work carefully
Material NOT on Final Exam
All the material in Units 1, 2, and 3 will NOT be evaluated on the final exam because they were evaluated on the mid-term. Lessons 1 and 2 from Unit 4 will also not be evaluated on the final exam.
Success Criteria
In order to be successful on the exam you should be able to complete every question in assigned Exam Review Question Packages.
This includes be able to:
• determine the values of the trigonometric ratios for angles less than 360º
• prove simple trigonometric identities
• demonstrate an understanding of periodic relationships and sinusoidal functions, and make connections between the numeric, graphical, and algebraic representations of sinusoidal functions
• identify and represent sinusoidal functions, and solve problems involving
sinusoidal functions, including problems arising from real-world applications
• demonstrate an understanding of recursive sequences, represent recursive
sequences in a variety of ways, and make connections to Pascal’s triangle
• demonstrate an understanding of the relationships involved in arithmetic and geometric sequences and series, and solve related problems
GOOD LUCK! (
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