## MBF3C Foundations of Mathematics – Grade 11 Math – College Preparation

### MBF3C Grade 11 College 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.

Prerequisite: Foundations of Mathematics, Grade 10, Applied

### MBF3C Grade 11 College Real World Math Problems

Access 3 Act Math Tasks related to the MBF3C Grade 11 College Math Course.

## MBF3C Grade 11 Math Course Notes and Handouts

#### MBF3C – Unit 1 – Trigonometry

 Sec. 1.1 – Revisit the Primary Trigonometric Ratios Page 13-15 #1-4, 6, 8, 10, 12 Sec. 1.2 – Solve Problems Using Trigonometric Ratios Page 21-23 #1-6, 12, 13 Sec. 1.3 – The Sine Law Page 32-33 #1-6, 8 Sec. 1.4 – The Cosine Law Page 39-41 #1-3, 5-7, 9 Sec. 1.5 – Make Decisions Using Trigonometry Page 48-51 #1-10

#### MBF3C – Unit 2 – Probability

 Sec. 2.1 – Probability Experiments Page 66-67 #1-7 Sec. 2.2 – Theoretical Probability Page 73-74 #1-9 Sec. 2.3 – Compare Experimental and Theoretical Probabilities Page 82-83 #1-6, 8a Sec. 2.4 – Interpret Information Involving Probability Page 90-92 #1-8

#### MBF3C – Unit 3 – One Variable Statistics

 Sec. 3.1 – Sampling Techniques Page 106-109 #1-5, 7-10 Sec. 3.2 – Collect and Analyse Data Page 114-116 #1-10 Sec. 3.3 – Display Data (Day 1) Page 125-127 #1-3,6 Sec. 3.3 – Display Data (Day 2) Page 125-128 #4, 5, 7, 9, 11 Sec. 3.4 – Measures of Central Tendency Page 136-139 #1-3, 6-8 Sec. 3.5 – Measures of Spread (Day 1) Page 145-147 #5, 6, 7ab, 8, 10, 11 Sec. 3.5 – Measures of Spread (Day 2) Page 145-147 #1-4, 9, 12 Sec. 3.6 – Types of Distributions Page 153-155 #1-7

#### MBF3C – Unit 4 – Quadratic Relations I

 Sec. 4.1 – Modelling With Quadratics (Part 1) Page 174-175 #1, 3, 6 Sec. 4.1 – Modelling With Quadratics (Part 2) Page 174-176 #2, 4, 7, 9 Sec. 4.2 – The Quadratic Relation y = ax2 + k Page 190-193 #1-3, 4(a,c,e,g), 7(a,c,e), 8 Sec. 4.3 – The Quadratic Relation y = a(x – h)2 Page 200-203 #1-4, 5(a,c), 7 Sec. 4.4 – The Quadratic Relation y = a(x – h)2 + k Page 212-217 #1, 2(a,c,e,g), 6 Sec. 4.5 – Interpret Graphs of Quadratic Relations Page 222-225 #1(a,c,e,g), 2, 4, 5 Sec. 4.6 – Graphing Quadratics in Vertex Form Complete Handouts

#### MBF3C – Unit 5 – Quadratic Relations II

 Sec. 5.1 – Expanding Binomials Page 238-241 #1, 2, 3-7(a,c,e) Sec. 5.2 – Change From Vertex Form to Standard Form Page 245-247 #1-4(a,c,e), 6, 7 Sec. 5.3 – Factor Trinomials of Form y = x2 + bx + c Page 253-255 #1-3 Sec. 5.4 – Factor Trinomials of Form y = ax2 + bx + c Page 259-263 #1-7(a,c,e) Sec. 5.5 – The x-Intercepts of a Quadratic Relation Page 271-275 #1-2, 3-5(a,c,e), 6, 7(a,c,e)

#### MBF3C – Unit 7 – Exponents

 Sec. 7.1 – Exponent Rules Page 360-363 #1-5, 9, 10 Sec. 7.2 – Zero and Negative Exponents Page 367-371 #1-3, 6-7(a,c,e), 8 Sec. 7.3 – Investigate Exponential Relationships Page 377-381 #1-3, 6, 7 Sec. 7.4 – Exponential Relations Page 390-394 #1-4, 6 Sec. 7.5 – Exponential Growth and Decay Page 401-405 #1(b,c,d), 2(b,c), 5(a,b), 6 Sec. 7.6 – Solve Problems Involving Exponential Growth and Decay Page 410-413 #1-7

#### MBF3C – Unit 8 – Compound Interest

 Sec. 8.1 – Simple and Compound Interest Page 428-429 #1-7 Sec. 8.2 – Compound Interest Page 432-435 #1-9 Sec. 8.3 – Present Value Page 439-441 #1, 2-3(a,b), 4, 5, 8, 9 Sec. 8.5 – The Effects of Changing Conditions on Investments and Loans Page 450-453 #3-10

#### MBF3C – Unit 9 – Personal Finance

 Sec. 9.1 – Savings Alternatives Page 465-467 #2-5, 7-9 Sec. 9.2 – Investment Alternatives (SMARTBoard Lesson) Page 472-473 #2, 3, 6, 7, 8, 10 Sec. 9.3 – Manage Credit Cards (SMARTBoard Lesson) Page 479-481 #1, 2, 4-8 Sec. 9.4 – Obtain a Vehicle (SMARTBoard Lesson) Page 486-487 #1, 5, 6, 8 Sec. 9.5 – Operate a Vehicle (SMARTBoard Lesson) Page 493-495 #1-9

## MBF3C Grade 11 College Mathematics

### Personal Finance

• PF1 – compare simple and compound interest, relate compound interest to exponential growth, and solve problems involving compound interest;
• PF2 – compare services available from financial institutions, and solve problems involving the cost of making purchases on credit;
• PF3 – interpret information about owning and operating a vehicle, and solve problems involving the associated costs.