Evaluating Limits, Continuity vs. Discontinuity, Polar and Rectangular Coordinates & Conversions, Unit Circle Knowledge, Parametric Equations: Sketch & Eliminate Parameters, Sequences and Series: Explicit and Recursive Formulas, Geometric and Arithmetic Sequence, Sigma Notation, Partial Sums.

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✫ Check out my Introduction to Limits & Discontinuity Lesson!

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✫ 9-Page PRETEST with Answers [RESEARCH-BASED]

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WOW! What a PACKAGE. Another option is printing portions of this exam as separate assessments and classwork/homework assignments.

This 8-page exam which also comes with a topics list study guide/ reference sheet is also amazing for those who are teaching this for the first time because of my STEP-by-STEP answer keys.

NOTE: Answer Key also includes a break-down of points for grading.

Part 1: Limits

• Evaluating limits by looking at a function’s graph and its equation
• Know the definitions of continuity vs. discontinuity at a given point or over a specific interval.
• Determine the type of discontinuity by looking at a function’s graph (point, jump, infinite, or endpoint)
• Know removable(point) vs. non-removable (infinite, jump, & endpoint) discontinuity
• Know how to remove a point discontinuity; or determining the value which makes the function continuous at that point (find the limit of the simplified function)
• Know factoring skills – greatest common factor, quadratics, & by grouping.
• Given a function equation, be able to determine any discontinuities (denominator cannot equal to zero) as well as any vertical or horizontal asymptotes
• Know how to graph a piecewise function

Part 2: Polar and Rectangular Coordinates

• Be able to graph a real polar coordinate when r > 0 and when r < 0
• Know the entire unit circle!
• Be able to convert a real rectangular coordinate to a real polar coordinate and vice versa

Part 3: Parametric Equations

• Be able to sketch a set of parametric equations. Be able to show a table of values.
• Be able to eliminate the parameter of a non-trigonometric set of parametric equations

Part 4: Sequences and Series

• Find the explicit & recursive formulas of a geometric and arithmetic sequence.
• Be able to rewrite a series using sigma notation.
• Be able to find the partial sum of an infinite series using sigma on your calculator.