GRADE 11, UNIVERSITY PREPARATION

SAMPLE EXERCISES

- ASSIGNMENT on discrete functions
- QUIZ on discrete functions
- Sample TEST on discrete functions
- Class exercise (#1) on arithmetic and geometric sequences
- Class exercise (#2) on arithmetic and geometric series
- Class exercise (#3) on recursion
- Class exercise (#4) on binomial expansions using Pascal's triangle
- Class exercise (#5) on compound interest and annuity

- ASSIGNMENT on characteristics of functions
- Another ASSIGNMENT on characteristics of functions
- QUIZ on characteristics of functions
- Sample TEST on characteristics of functions
- Class exercise (#6) on functions and function notation
- Class exercise (#7) on domain and range
- Class exercise (#8) on inverse of a function
- Class exercise (#9) on multiplication and division of rational expressions
- Class exercise (#10) on addition and subtraction of rational expressions

- ASSIGNMENT on quadratics and transformations
- Another ASSIGNMENT on transformations
- Another ASSIGNMENT on rational expressions and transformations
- QUIZ on quadratics and transformations
- Sample TEST on quadratics and transformations
- Class exercise (#11) on completing the square
- Class exercise (#12) on combined transformations
- Class exercise (#13) on zeros of quadratics
- Class exercise (#14) on linear-quadratic systems

- ASSIGNMENT on exponential functions
- QUIZ on exponential functions
- Sample TEST on exponential functions
- Class exercise (#15) on integral and rational exponents
- Class exercise (#16) on exponential growth and decay
- Class exercise (#17) on graphing exponential functions
- Class exercise (#18) on transformations of exponential functions

- ASSIGNMENT on trigonometric functions
- Sample TEST on trigonometric functions
- Class exercise (#19) on trigonometric ratios
- Class exercise (#20) on trigonometry of obtuse angles
- Class exercise (#21) on applications of trigonometry
- Class exercise (#22) on understanding angles
- Class exercise (#23) on trigonometric identities and special angles
- Class exercise (#24) on periodic functions
- Class exercise (#25) on transformations of sinusoidal functions

- Sample culminating assignment
- Sample final exam

Maybe you've experienced this as a teacher (irrespective of your teaching subject).

You designed a home work or an assignment. You printed copies and distributed to your students.
You gave them a day to submit the work. The day arrived. Then a particular student -- or some students -- didn't do the work.
You asked why? In response, the student mentioned that (inadvertently) the work was misplaced (or lost). The student then asked
for another copy of the exercise. You, the teacher, obliged and gave another copy of the exercise to the student. The incidence
then repeats itself.

This is one of the excuses some students give for not doing the exercises assigned to them. From our personal perspective, not many
classroom experiences frustrate as much as the above. In a bid to obviate this, we came up with this website -- our initial objective
was to make all exercises available to our students outside the classroom (and school) environment. Our approach may have been a drastic one,
but it was also made possible by our interest in web development. We then have to print our exercises ONCE and only ONCE. If the student
misplaces (or loses) the copy of the exercise, it is then the student's responsibility to print new copies from our website.

It will follow that most of the exercises below reflect our teaching taste, and so may not appeal to a wide audience. In fact, they are
patterned after the Ontario curriculum, and so their possible usefulness may be limited to this Canadian province.
Also, we haven't provided solutions to them -- but we're working on this, including changing
the format. In the meantime if you find any of these exercises useful, we'll be more than excited.