MCV4U
February 2022
Cycle 1: Rates of Change
SECTION
TOPIC
MINISTRY
EXPECTATIONS
1.1
Rates of Change and the Slope of
a Curve
RC1.2, RC1.3
Pg. 9 #2b, 3a, 4a, 8
1.2
Rates of Change Using Equations
RC1.2, RC1.3
Pg. 20 #7, 12i), 16, 17
1.3
Limits
RC1.4
1.4
Limits and Continuity
RC1.2, RC1.4
Pg. 44 #1 – 4, 6, 8, 10bc, 11be, 12bc,
13adg, 14, 17, 18
1.5
Introduction to Derivatives
RC1.2, RC1.3,
RC1.5, RC1.6
Pg. 58 #1, 2, 5ae, 7, 8, 14ace, 16,
18ai), 18aiv), 19a
Review
HOMEWORK
Pg. 29 #1 – 7, 9, 12ai), 12aii), 13
Pg. 64 #1, 3ab, 4ab, 5, 6, 7, 8, 9, 10,
11ac, 12
Optional Extra Practice:
Pg. 66 #1, 5, 6, 8, 10
“Popcorn is prepared in the same pot, in the same heat, in the same oil and yet… the
kernels do not POP at the same time. Don’t compare [yourself] to others. [Your] turn
to POP is coming!” - Unknown
Cycle 1 Success Criteria
1.1 - After this lesson and homework I should be able to:
• Describe the difference between AROC and IROC
• Calculate the average rate of change given a table of values or graph
• Calculate the instantaneous rate of change of a function given a table of values or graph
1.2 - After this lesson and homework I should be able to:
• Estimate the instantaneous rate of change of a function using the difference quotient when
given an equation.
1.3 - After this lesson and homework I should be able to:
• Determine the limit of a sequence and verifying it graphically
• Determine the limit of a function from a graph or equation
• Determine if a function is continuous using limits
1.4 - After this lesson and homework I should be able to:
• Evaluate limits to interpret continuity
• Evaluate limits algebraically
1.5 - After this lesson and homework I should be able to:
• Use the first principles definition of a derivative to find the equation for slope of a tangent of a
function
• Determine the domain on which a function is differentiable