CEGEP Calculus I Worksheets

Notes and unit tests — in the bundle

Every CEGEP Calculus I unit has three printable documents, not one: the practice worksheet above, which is free, and two that come with the CEGEP Calculus I bundle — a set of unit notes stating everything the unit defines, and a full end-of-unit test to sit closed-book. See what each one covers:

What the 9 sets of unit notes cover  What the 9 unit tests look like

What CEGEP Calculus I covers

Calculus I is the course where the algebra stops being the difficulty and the ideas start being it. The competency behind it, 0M02, is built in four movements: determine a limit, determine the derivative function, use the methods of differential calculus, and analyse problems drawn from the natural sciences. The sets below follow that order, because each movement is the machinery the next one runs on.

Three things reliably cost marks here and each has its own set. The analysis of a function is not one skill but six — domain and intercepts, asymptotes, increase and decrease, extrema, concavity and inflection, then the sketch that has to agree with all five — and the ministerial standard lists them individually, so the worksheet does too. Related rates and optimisation are separated for the same reason: one is about differentiating a relation you built, the other about building the relation in the first place, and students who can do the calculus often lose the marks in the modelling. And limits of trigonometric, exponential and logarithmic functions have a set of their own beside the algebraic one, because identities, log laws and the Squeeze Theorem are different tools from factoring and conjugates.

Whether your course is numbered 201-NYA-05 or 201-SN2-RE, the content is the same competency — the 2021 revision renumbered the Science programme without changing what 0M02 requires. Antiderivatives are not here: the ministry places them in Calculus II, and so do these sheets.