GRADE 12, UNIVERSITY PREPARATION

SAMPLE EXERCISES

- Polynomial basics: recognize polynomials
- Polynomial basics: end behaviours of polynomials
- Polynomial basics: key features of polynomials
- Polynomial basics: polynomials vs others
- Polynomial basics: factors and x-intercepts and graphs
- Polynomial basics: transformations of polynomials
- Polynomial basics: families of polynomials
- Polynomial basics: odd vs even polynomials
- ASSIGNMENT on families of polynomials
- Sample TEST on polynomial functions
- Class exercise (#2) on graphing polynomials in factored form
- Class exercise (#3) on division of polynomials and the remainder theorem
- Class exercise (#4) on polynomial equations and inequalities
- Class exercise (#5) on sum and difference of cubes

- ASSIGNMENT on rational functions
- Sample TEST on rational functions
- Class exercise (#6) on reciprocal of a linear function
- Class exercise (#7) on reciprocal of a quadratic function
- Class exercise (#8) on rational functions of the type linear over linear
- Class exercise (#9) on asymptotes and related problems
- Class exercise (#10) on rational equations and inequalities

- ASSIGNMENT on exponential and logarithmic functions
- Another ASSIGNMENT on exponential and logarithmic functions
- Sample TEST on exponential and logarithmic functions
- Class exercise (#11) on exponential functions
- Class exercise (#12) on logarithms
- Class exercise(#13) on laws of logarithms
- Class exercise (#14) on exponential and logarithmic equations

- ASSIGNMENT on trigonometric functions
- Sample TEST on trigonometric functions
- Class exercise (#15) on radian measure
- Class exercise (#16) on graphs of trigonometric functions and their reciprocals
- Class exercise(#17) on sinusoidal graphs
- Class exercise(#18) on compound angles
- Class exercise (#19) on trigonometric equations and identities

- ASSIGNMENT on characteristics of functions
- Sample TEST on characteristics of functions
- Class exercise (#20) on rates of change
- Class exercise (#21) on odd vs even functions
- Class exercise (#22) on function arithmetic
- Class exercise (#23) on properties of function composition
- Class exercise (#24) on more odd vs even function

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.

We'll be adding *interactive* exercises soon!