Foundations For College Mathematics 11 Pdf

MBF3C Grade 11 College Course Description

MBF3C Grade 11 College Math Resources 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 Math Course Notes and Handouts

MBF3C – Unit 1 – Trigonometry

MBF3C – Unit 2 – Probability

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

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

Page 428-429 #1-7

Page 432-435 #1-9

Page 439-441 #1, 2-3(a,b), 4, 5, 8, 9

Page 450-453 #3-10

MBF3C – Unit 9 – Personal Finance

Page 465-467 #2-5, 7-9

Page 472-473 #2, 3, 6, 7, 8, 10

Page 479-481 #1, 2, 4-8

Page 486-487 #1, 5, 6, 8

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.

Data Management

DM1 – solve problems involving one-variable data by collecting, organizing, analysing, and evaluating data;
DM2 – determine and represent probability, and identify and interpret its applications.