GRADE 12 CALCULUS and VECTORS
UNIT 2: CURVE SKETCHING & APPLICATIONS (MOTION & OPTIMIZATION
PROBLEMS)
KEY CONCEPT / STRATEGY
ACTIVITY
Intervals of Increase and Decrease
P 156 # 1,2,4 to 11, 13, 14
Maximum and Minimum Points
P 163 # 3,4,10
- local and absolute
First Deriv Test
P 163 # 1, 2, 8, 11, 13
Concavity and Points of Inflection
P 173 # 1, 2, 3, 4, 5, 6, 7, 9, 13,
14,16,19
Sketching Polynomial Functions
P 192 # 4bc,5,6d parts ii.iii.iv, 9cd
Sketching Simple Rational Functions
P 183 #1, 2, 3ac, 4bc, 5, 12,13
P 192 #9bd, 13, 15, 18, 22
Review
Velocity, Acceleration and 2nd Derivatives
- direction of motion
- speeding up/slowing down
P 106 # 1ace, 2ace, 3, 4bc, 5, 7,
8, 12, 13, 9abcd, 10, 16, 17, 18
(16c ans. is 205m)
Optimization
P 201 # 1,2,3,4,5,7
- Area, perimeter, number probs
Optimization
Review
TEST
Volume and Surface Area
Minimizing Cost
P 201 # 6 to 11, 12,13,14, 16, 18,
20