Demo - MCV4U

You will have 1.5 hours to complete unit 3 test.

TEST FORMAT

REVIEW GUIDELINES

Part A: Knowledge & Understanding (15 marks)

Topics:

• First and second derivative definitions (e.g., \( s'(t) = v(t), s''(t)=a(t) \)).
• Meaning of extrema, critical points, velocity vs. acceleration
• How to apply quotient rule and power rule

Practice:

• Practice derivative computations
• Know when an object is speeding up vs. slowing down
• Revisit theory in sections 3.1 and 3.2

Part B: Thinking & Inquiry (13 marks)

Topics:

• Solve real moton problems (when is object at rest, direction of motion)
• Analyze when an object speeds up/slows down using sign charts
• Classify critical points using first or second derivtive

Practice:

• Rework Examples in sections 3.3, 3.4 and 3.5 (motion and sketching)
• Practice writing structured solutions (with headings like: velocity, acceleration, sign chart)

Part C: Communication (10 marks)

Topics:

• Use calculus terms correctly in full sentences
• Explain speeding up vs. slowing down in context
• Sketch and label graphs showing: min, max, inflection points

Practice: 

• Practice writing short paragraph explanations
• Use consistent terminology (e.g., increasing/decreasing, concave up/down)

Part D: Application (12 marks)

Topics:

• Model and solve optimization problems (area, profit, motion)
• Use derivatives to find mazima/minima in real-life contexts
• Interpret your math answer in a sentence

Practice: 

• Rework Examples in section 3.4 (fencing, business profit)
• Use the full 4-step process: define variables, derive function, optimize and interpret