MBF3C

COURSE NAME / Foundations for College Mathematics / GRADE / 11
COURSE CODE / MBF3C / CREDIT VALUE / 1.0
TEACHER / DEPARTMENT / Mathematics
PREREQUISITE / Grade 10 Mathematics, Applied
COURSE DESCRIPTION: / This course enables students to broaden their understanding of mathematics as a problem-solving tool in the real world. Students will extend their understanding of quadratic relations; investigate situations involving exponential growth; solve problems involving compound interest; solve financial problems connected with vehicle ownership; develop their ability to reason by collecting, analysing, and evaluating data involving one variable; connect probability and statistics; and solve problems in geometry and trigonometry. Students will consolidate their mathematical skills as they solve problems and communicate their thinking.
OVERALL EXPECTATIONS: /

Mathematical Models

/ -Connecting Graphs and Equations of Quadratic Relations
-Connecting Graphs and Equations of Exponential Relations
-Solving Problems Involving Exponential Relations

Personal Finance

/ -Solving Problems Involving Compound Interest
-Comparing Financial Services
-Owning and Operating a Vehicle

Geometry and Trigonometry

/ -Representing Two-Dimensional Shapes and Three-Dimensional Figures
-Applying the Sine Law and the Cosine Law in Acute Triangles

Data Management

/ -Working With One-Variable Data
-Applying Probability
TEXTBOOK / REPLACEMENT COST
Foundations for College Mathematics 11(McGraw-Hill Ryerson) / $100

COMMUNICATION

Please direct all questions or concerns regarding student progress or program of study to the classroom teacher. The department number is 416-395-3240 ext. 20080.

ASSESSMENT AS, FOR, and OF STRATEGIES

These include varied types: Quizzes, Descriptive Feedback, Labs, Assignments, Group Work, Tests, Presentations, and Examinations.

EVALUATION OF STUDENT ACHIEVEMENT:

Evaluation of student achievement is based on the following categories:

COURSE WORK 70%

/

PERCENTAGE

/

FINAL EVALUATION 30%

/

PERCENTAGE

•Knowledge / 25% /
  • Culminating Task
/ 15%
•Thinking / 10% /
  • Final Exam
/ 15%
•Communication / 10%
•Application / 25%

UNITS OF STUDY & EVALUATION TASKS

Unit of Study / Assessment Timeline

Unit 1 – Mathematical Models

1.11 Modelling with Quadratic Relations / Week 1 (8 periods)
1.12 The Quadratic Relation
1.13 The Quadratic Relation
1.14 The Quadratic Relation
1.15 Interpret Graphs of Quadratic Relations
1.21 Expand Binomials / Week 3 (8 periods)
1.22 Change Quadratic Relations from Vertex Form to Standard Form
1.23 Factor Trinomials of the form
1.24 Factor Trinomials of the form
1.25 The x-intercepts of a Quadratic Relation
1.26 Solve Problems Involving Quadratic Relations
1.31 Exponent Rules / Week 5 (9 periods)
1.32 Zero and Negative Exponents
1.33 Investigate Exponential Relationships
1.34 Exponential Relations
1.35 Modelling Exponential Growth and Decay
1.36 Solve Problems Involving Exponential Growth and Decay

Unit 2– Personal Finance

2.41 Simple and Compound Interest / Week 7 (8 periods)
2.42 Compound Interest
2.43 Present Value
2.44 The TVM Solver
2.45 Effects of Changing the Conditions on Investments and Loans
2.51 Savings Alternatives / Week 9 (9 periods)
2.52 Investment Alternatives
2.53 Manage Credit Cards
2.54 Obtain a Vehicle
2.55 Operate a Vehicle

Unit 3 – Geometry and Trigonometry

3.61 Investigate Geometric Shapes and Figures / Week 11 (8 periods)
3.62 Perspective and Orthographic Drawings
3.63 Create Nets, Plans and Patterns
3.64 Scale Models
3.65 Solve Problems with Given Constraints
3.71 Revisit the Primary Trigonometric Ratios / Week 13 (9 periods)
3.72 Solve Problems Using Trigonometric Ratios
3.73 The Sine Law
3.74 The Cosine Law
3.75 Make Decisions Using Trigonometry

Unit 4 – Data Management

4.81 Probability Experiments / Week 15 (5 periods)
4.82 Theoretical Probability
4.83 Compare Experimental and Theoretical Probabilities
4.84 Interpret Information Involving Probability
4.91 Sampling Techniques / Week 16 (7 periods)
4.92 Collect and Analyze Data
4.93 Display Data
4.94 Measures of Central Tendency
4.95 Measures of Spread
4.96 Common Distributions

Final Evaluation

Culminating Activity – Finance Project / Week 18
Examination