MBF3C1 COURSE OF STUDY OUTLINE
Ministry of Education Policy Document: The Ontario Curriculum Grades
School Board:
Upper Grand District School Board
School: College Heights Secondary School
Department Head: Frank Patrick
Department: Mathematics
Date: February 3, 2009
Developed by: Duane Scott
Level: College Preparation
Grade: 11
Course Title: Foundations for College Mathematics
Prerequisites: MFM 2P1
Co-requisites: N/A
Course Code: MBF 3C1
OVERALL EXPECTATIONS
GEOMETRY AND TRIGONOMETRY
By the end of this course, students will:
• represent, in a variety of ways, two-dimensional shapes and three-dimensional figures arising from realworld applications, and solve design problems;
• solve problems involving trigonometry in acute triangles using the sine law and the cosine law, including
problems arising from real-world applications.
MATHEMATICAL MODELS
By the end of this course, students will:
• make connections between the numeric, graphical, and algebraic representations of quadratic relations,
and use the connections to solve problems;
• demonstrate an understanding of exponents, and make connections between the numeric, graphical, and
algebraic representations of exponential relations;
• describe and represent exponential relations, and solve problems involving exponential relations arising
from real world applications.
PERSONAL FINANCE
By the end of this course, students will:
• compare simple and compound interest, relate compound interest to exponential growth, and solve
problems involving compound interest;
• compare services available from financial institutions, and solve problems involving the cost of making
purchases on credit;
• interpret information about owning and operating a vehicle, and solve problems involving the associated
costs.
DATA MANAGEMENT
By the end of this course, students will:
• solve problems involving one variable data by collecting, organizing, analysing, and evaluating data;
• determine and represent probability, and identify and interpret its applications.
COURSE TIMELINES
Unit
Title
Time
Unit
Title
Time
1
Trigonometry
11¼ hours
6
Personal Finance
11¼ hours
2
Quadratic Relations I
11¼ hours
7
One Variable Statistics
12½ hours
3
Quadratic Relations II
12½ hours
8
Probability
4
Exponents
12½ hours
9
Geometry in Design
11¼ hours
5
Compound Interest
11¼ hours
10
Summative Review
6¼ hours
10 hours
Total Time: 110 hours
EACH UNIT
Categories: Every category is given a grade for each evaluation in the following ratio.
Application - 30%
Knowledge & Understanding - 30%
Thinking, Inquiry, & Problem Solving - 20%
Communication - 20%
Accommodations:
• Assignments and tests are designed with space, table, and grids provided for answers to be written
(no lined paper required).
• Assignment collaboration is encouraged provided written solutions are unique.
• Assignments may be submitted at any time leading up to the final examination.
• Tests may be completed during the lunch break of the next day if necessary.
• Under certain conditions, assignments and tests may be written in an academic resource room with
one-to-one teacher’s aid.
Formative Assessment in the Unit:
• On-going informal assessment is taking place throughout the class as students work on their
assignments.
Unit Evaluation: Assignment Marks:
Application
Knowledge & Understanding
Thinking, Inquiry, & Problem Solving
Communication
Test Mark:
Application
Knowledge & Understanding
Thinking, Inquiry, & Problem Solving
Communication
Total converted to mark out of
12
12
8
8
40%
Converted to mark out of
18
18
12
12
60%
Unit Mark = Assignment Mark out of 40 + Test Mark out of 60
Unit 1 - Trigonometry
Overall Expectations:
By the end of this course, students will solve problems involving trigonometry in acute triangles using the
sine law and the cosine law, including problems arising from real-world applications.
Evaluation Name
Focus
Marks Out of
Assignment 1
Revisit the Primary Trigonometric Ratios
34
Assignment 2
Solve Problems Using Trigonometric Ratios
30
Assignment 3
The Sine Law
52
Assignment 4
The Cosine Law
35
Assignment 5
Make Decisions Using Trigonometric
47
Test
Trigonometry
56
Unit 2 - Quadratic Relations I
Overall Expectations:
By the end of this course, students will make connections between the numeric, graphical, and algebraic
representations of quadratic relations, and use the connections to solve problems.
Evaluation Name
Focus
Marks Out of
Assignment 1
Modelling With Quadratic Relations
44
Assignment 2
The Quadratic Relation y = ax2 + k
78
Assignment 3
The Quadratic Relation y = a(x – h)2
75
Assignment 4
The Quadratic Relation y = a(x – h)2 + k
89
Assignment 5
Interpret Graphs of Quadratic Relations
39
Test
Quadratic Relations I
53
Unit 3 - Quadratic Relations II
Overall Expectations:
By the end of this course, students will make connections between the numeric, graphical, and algebraic
representations of quadratic relations, and use the connections to solve problems.
Evaluation Name
Focus
Marks Out of
Assignment 1
Expand Binomials
89
Assignment 2
Change Quadratic Relations From Vertex Form to Standard Form
58
Assignment 3
Factor Trinomials of the Form x2 + bx + c
63
Assignment 4
Factor Trinomials of the Form ax2 + bx + c
65
Assignment 5
The x-intercepts of a Quadratic Relation
59
Assignment 6
Solve Problems Involving Quadratic Relations
77
Test
Quadratic Relations II
74
Unit 4 - Exponents
Overall Expectations:
By the end of this course, students will:
• demonstrate an understanding of exponents, and make connections between the numeric, graphical, and
algebraic representations of exponential relations;
• describe and represent exponential relations, and solve problems involving exponential relations arising
from real world applications.
Evaluation Name
Focus
Marks Out of
Assignment 1
Exponent Rules
70
Assignment 2
Zero and Negative Exponents
60
Assignment 3
Investigate Exponential Relationships
32
Assignment 4
Exponential Relations
63
Assignment 5
Modelling Exponential Growth and Decay
46
Assignment 6
Solve Problems Involving Exponential Growth and Decay
34
Test
Exponents
75
Unit 5 - Compound Interest
Overall Expectations:
By the end of this course, students will compare simple and compound interest, relate compound interest to
exponential growth, and solve problems involving compound interest.
Evaluation Name
Focus
Marks Out of
Assignment 1
Simple and Compound Interest
77
Assignment 2
Compound Interest
53
Assignment 3
Present Value
47
Assignment 4
The TVM Solver
28
Assignment 5
Effects of Changing Conditions on Investments and Loans
77
Test
Compound Interest
74
Unit 6 - Personal Finance
Overall Expectations:
By the end of this course, students will:
• compare services available from financial institutions, and solve problems involving the cost of making
purchases on credit;
• interpret information about owning and operating a vehicle, and solve problems involving the associated
costs.
Evaluation Name
Focus
Marks Out of
Assignment 1
Savings Alternatives
67
Assignment 2
Investment Alternatives
67
Assignment 3
Manage Credit Cards
60
Assignment 4
Obtain a Vehicle
35
Assignment 5
Operate a Vehicle
37
Test
Personal Finance
81
Unit 7 - One Variable Statistics
Overall Expectations:
By the end of this course, students will solve problems involving one variable data by collecting, organizing,
analysing, and evaluating data.
Evaluation Name
Focus
Marks Out of
Assignment 1
Sampling Techniques
34
Assignment 2
Collect and Analyse Data
26
Assignment 3
Display Data
35
Assignment 4
Measures of Central Tendency
39
Assignment 5
Measures of Spread
64
Assignment 6
Common Distributions
28
Test
One Variable Statistics
72
Unit 8 - Probability
Overall Expectations:
By the end of this course, students will determine and represent probability, and identify and interpret its
applications.
Evaluation Name
Focus
Marks Out of
Assignment 1
Probability Experiments
26
Assignment 2
Theoretical Probability
27
Assignment 3
Compare Experimental and Theoretical Probabilities
41
Assignment 4
Interpret Information Involving Probability
37
Test
Probability
84
Unit 9 - Geometry in Design
Overall Expectations: By the end of this course, students will solve problems involving trigonometry in
acute triangles using the sine law and the cosine law, including problems arising from real-world
applications.
Evaluation Name
Focus
Marks Out of
Assignment 1
Investigate Geometric Shapes and Figures
27
Assignment 2
Perspective and Orthographic Drawings
31
Assignment 3
Create Nets, Plans, and Patterns
25
Assignment 4
Scale Models
33
Assignment 5
Solve Problems With Given Constraints
36
Test
Geometry in Design
59
Course Summative
Evaluation Name
Final Examination
Focus
Marks Out of
All units equally weighted
200
Course Evaluation: Midterm Mark: The average of the unit marks completed to that point.
Final Mark:
Total of Unit Marks
Final Examination Mark:
Application
Knowledge & Understanding
Thinking, Inquiry, & Problem Solving
Communication
Total converted to mark out of
70
9
9
6
6
100%