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### 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

## 3 Act Math Tasks

### 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 = ax^{2} + kPage 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} + kPage 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 = x^{2} + bx + cPage 253-255 #1-3 |

Sec. 5.4 – Factor Trinomials of Form y = ax^{2} + bx + cPage 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

### Strands and Overall Expectations

### Mathematical Models

- MM1 – make connections between the numeric, graphical, and algebraic representations of quadratic relations, and use the connections to solve problems;
- MM2 – demonstrate an understanding of exponents, and make connections between the numeric, graphical, and algebraic representations of exponential relations;
- MM3 – describe and represent exponential relations, and solve problems involving exponential relations arising from real-world applications.

### 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.

### Geometry and Trigonometry

- GT1 – represent, in a variety of ways, two-dimensional shapes and three-dimensional figures arising from real-world applications, and solve design problems;
- GT2 – solve problems involving trigonometry in acute triangles using the sine law and the cosine law, including problems arising from real-world applications.

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