MBF3C1 Foundations for College Mathematics Course Outline
Trigonometry
Lesson
Number
1.1
1.2
1.3
1.3
1.4
1.5
Lesson Title & Topics
Textbook
Section
Homework
Trigonometric Ratios Day 1
-find missing side
p.14-15 #1, 2, 4ab, 6-8 (day 1)
Trigonometric Ratios Day 2
-find missing angle
Complete #1-12 (day 2)
Solve Problems Using Trigonometric
Ratios (angles of dep. and elev.)
The Sine Law
QUIZ/Sine Law cont’d
The Cosine Law
Which Trig Property to Use?
REVIEW
p. 21-22 #1, 3-6, 8
p. 31-32 # 1-5
p. 39-41 #1-4, 7-9
p. 48-50 # 2-4, 6-8, 10
p. 52-53 #1-15, p. 54-55 #3-6, 8
Quadratics Part I
Lesson
Number
4.1
Lesson Title & Topics
Modelling Quadratic Relations
Textbook
Section
Homework
p. 174-176 #1-4, (5, 6)
-Graph, Table, Equation
-differences test, vertex, max/min
4.2
y = ax2 (step pattern)
p. 190 # 1, 4 (aceg) without k
a1, a3, a5
Y = ax2 + k
p. 190-192 #2-6
4.3
Y = a(x-h)2
p. 200-201 # 2, 4, (1, 3)
4.4
Y = a(x-h)2 + k
p. 212-213 #1-3
-axis of symmetry x = h and optimal
value k
4.5
Find equation given a parabola (i.e.
finding a using a point on parabola)
# 4, 5 (day two)
Interpret (roots, y int, max/min)
p. 223-225 #2 - 4, 6, 7 214-215 # 6, 8
Word problems (e.g. soccer ball’s
parabolic path)
Review Day
Test Day
Graph two parabolas
assignment
Find vertex, dir. Of opening,
stretch/compres, step pattern, axis of
sym, max/min
p. 226-229 # 1, 3, 4 ab, 7, 8b, 11
p. 228-229 # 9, 11
Quadratics Part II
Lesson
Number
5.1
Lesson Title & Topics
Textbook
Section
Homework
Binomial Multiplication
239-240 #3-7, 9, 10
5.2
Standard Form of a Quadratic Relation
245 #1-4, 7
5.3
Factoring Quadratic Expressions
253-254 # 2, 3, 6-8
x2+bx+c (product sum method, perfect
square tri, difference of squares)
-both product/sum are pos:
x2 +8x+16
-neg product:
x2 – x –20
x2 +2x –48
-neg sum/pos product:
x2 – 13x+22
5.4
Factoring Quadratic Expressions
259-260 #1-6
ax2+bx+c
5.5
X-intercept form (graph)
271-272 # 1-3, 4-5 (graph), 7a-d
5.6
Problem solving
274-275 #9-11
282 #5, 9, 13 -15
286-287 #1-4. 6, 8, 10, 12, 13, 15
Review Day
Test Day
Statistics
Lesson
Number
3.1
Lesson Title & Topics
Textbook
Section
Homework
106-107 # 1, 3-5, 7-9
Sampling Techniques
(random, stratified, cluster, systematic,
convenience, voluntary)
3.2
114-116 # 1-5, 7-10
Collect and Analyse Data
(Bias: response, non response,
measurement)
(primary/sec data)
3.3
125-128 # 1-8
Display Data
(discrete/continuous, numerical/cat)
(histograms, bar graphs, circle graphs)
3.4
Measures of Central Tendency (mean,
mode, median)
136-138 # 1-4, 7-9
3.5
Measures of Spread (standard
deviation, box and whisker plot,
quartiles, range, interquartile range)
145-146 # 1-7, 9, 11
-st. Dev= how far values are from
mean (on average)
-interquartile range = how closely
clustered values are around mean
3.6
153-154 #1-6
Common Distributions (normal,
bimodal, skewed)
Probability
Lesson
Number
Lesson Title & Topics
2.1
Experimental Probability
Textbook
Section
Homework
p. 66-67 #1-7
P(event) =
# of successful outcomes/# of trials
2.2
Theoretical Probability
p. 73-74 #1-8
= succ. Outcomes/total possible
outcomes
Probability tree, rolling doubles, etc
AND Vs. OR
2.3
Theoretical V Experimental
Quiz
2.4
Interpret Info
p. 82-83 #1-6, 8a
p. 85 #14, 15 (test?)
p. 89-92 #1-8
(percentage into probability)
Predicted Outcome=Prob X Number of
Trials
Review
p. 94-95 #1-7, 10, 11
Probability Assignment
Exponential Relations
Lesson
Number
Lesson Title & Topics
Textbook
Section
Homework
p. 360-361 # 1-5
p. 368-369 # 2-4, 6-8
7.1
Exponent Laws
7.2
Zero Exp and Neg Exp.
7.3
Investigate Exponential Relationship
p. 377-379 # 1, 2, 4-7
7.4
Exponential Relations (growth/decay)
p. 390-391 #1-7
7.5
Modelling Exponential Growth/Decay
p. 401-403 #1-6
I AM LEGEND
assignment
Problems (Growth/Decay)
p. 410-411 #1-7
7.6
Doubling time/Half Life
p. 414-415 # 1-11
REVIEW
Financial Math
Lesson
Number
8.1
Lesson Title & Topics
Simple Interest
Textbook
Section
Homework
p. 428 #3, 4, 6, 7
*don’t graph
I = Prt
A= P + Prt OR A= P(1+rt)
8.2
Compound Interest
p. 432-433 #2-8
(interest added to the principal at end
of each compounding period)
A = P(1 + i)n
8.3
Present Value/Discount
p. 439-440 #2-7
P = A(1 + i)-n
QUIZ
8.5
p. 450-451 # 3-7 (8, 9)
Effects of Changing Conditions on
Investments and Loans
-doubling interest rate or term more
than doubles the total interest
-more frequent compounding periods,
greater effects of any changes to
investment or loan
9.1
REVIEW TEST
p. 454-455 #1, 2, 5-9, 12, 13
Savings Alternatives (bank account)
p. 465-466 #1, 3-5, 7, 8
-fees for services
8.4
TVM Solver (?)
p. 444-445 #2-14
9.2
Investment Alternatives
(Mutual funds, RRSP, GIC, RESP, TFSA)
-risk = better pay off
p. 472-474 #4,- 8, 10-12, *13, *14
graphing calculator
-fees for mutual funds
-lump sum question
-payments question
9.3
Credit Cards
p. 479-480 #3-6, 9
p. 479 #3
9.4
Obtaining a Vehicle
-used, lease, finance
9.5
Operating a Vehicle
-fixed cost V variable costs
-depreciation
-insurance
Assignment (graph. Calc)
p. 486-487 #1-6, *10
graphing calculator
p. 493-494 #1-4, 6, 7