Foundations for College Mathematics, College Preparation (MBF3C)
Essential Skills Review
UNIT 1: Trigonometry
UNIT 2: Probability
UNIT 3: One Variable Statistics
UNIT 4: Quadratic Relations: Part 1
UNIT 5: Quadratic Relations: Part 2
UNIT 7: Exponents
UNIT 8: Compound Interest
UNIT 9: Personal Finance
MBF3C UNIT 1: Trigonometry
1.1 Primary Trigonometric
Ratios
Website Video Clips with
Solutions:
1.2 Solving problems with
Trigonometric Ratios
Page(s) 6 #
Trigonometric Ratios example
Finding the length of the side of a triangle example
Finding an angle given Two angles
Solving a right angle triangle
Trigonometric Ratio of Sine Example
Watch concept video and problems 1-2
Trigonometric Ratio of Cosine
Watch concept video and problems 1-2
Trigonometric Ratio of Tangent
Watch concept video and problems 1-2
Page(s) 16 #
Application Problem: Slope of a ramp
Website Video Clips with
Solutions:
Khan Academy Exercises:
1.3 The Sine Law
Website Video Clips with
Solutions:
1.4 The Cosine Law
Website Video Clips with
Solutions:
1.5 Application problems:
Trigonometry
Application Problem: height of a roof
Trigonometry Practice
Page(s) 24 #
Sine Law examples
Click on topic “Trig Functions” – Sine Law B: 4 to 7 – watch and work through the examples
Sine Law example 2
Click on topic “Trigonometry” then click on “Triangles” - Law of Sines examples #1-2
The Law of Sines Examples 3
Watch concept video and problems 1-2
Page(s) 34 #
Cosine Law Examples
Click on topic “Trig Functions” – Cosine Law C: 8 to 10 – watch and work through the examples
Cosine Law example 2
Click on topic “Trigonometry” then click on “Triangles” - Law of Cosine example #1
The Law of Cosines Example 3
Watch concept video and problems 1-2
Page(s) 42 #
Website Video Clips with
Solutions:
Application Problem: Finding an angle of an Airplane
Application Problem: finding the length of a Fence
Application Problem: Finding the height
Application Problem: Finding the distance between cities
Unit 1 Review
Pages 52 #
MBF3C UNIT 2: Probability
2.1 Probability Experiments
Page(s) 60 #
Website Video Clips with
Solutions:
Introduction to Probability
Watch concept video and problems 1-3
Probability explanation video
2.2 Theoretical Probability
Page(s) 68 #
Website Video Clips with
Solutions:
Theoretical Probability Example
Theoretical Probability Example 2
Probability of tossing a coin example
2.3 Comparing experimental and
theoretical probability
Page(s) 76 #
Website Video Clips with
Solutions:
Comparing Experiment and theoretical Probability
Khan Academy Exercise
Probability Practice Problems
2.4 Interpreting information
involving probability
Page(s) 86 #
Website Video Clips with
Solutions:
Unit 2 Review
Making predictions using probability
Using experimental probability to get information
Pages 94 #
MBF 3C UNIT 3: One Variable Statistics
3.1 Sampling techniques
Page(s) 102 #
Website Video Clips with
Solutions:
Sampling Techniques example
3.2 Collect and Analyse Data
Page(s) 110 #
Website Video Clips with
Solutions:
See video above
3.3 Display Data
Page(s) 118 #
Website Video Clips with
Solutions:
3.4 Measures of Central
Tendency
Website Video Clips with
Solutions:
Creating a frequency table
Creating a histogram
Creating a stem and leaf graph
Creating a scatter plot graph
Creating a histogram in excel example
Pie Chart Example
Finding the line of best fit
Finding the line of best fit with Fantom
Finding the line of best fit with excel
Page(s) 130 #
Mean examples
Watch concept video and problems 1-3
Mean example 2
Median examples
Watch concept video and problems 1-3
Mode examples
Watch concept video and problems 1-2
Calculating mean, median, and mode example
Khan Academy Exercises
3.5 Measures of Spread
Website Video Clips with
Solutions:
Mean, Median and Mode Practice Problems
Page(s) 140 #
Inter-quartile range
Standard Deviation example
Calculating standard deviation example 2
Standard Deviation example 3
Variance of a population example
Sample Variance
3.6 Common Distributions
Page(s) 148 #
Website Video Clips with
Solutions:
Different types of distributions example
Different types of distributions explanation
Introduction to Normal Distribution
Normal Distribution excel example
Unit 3 Review
Pages 156 #
MBF 3C UNIT 4: Quadratic Relations: Part 1
4.1 Modelling with Quadratic
Relations
Page(s) 168 #
Graphing Quadratic Relations example 1
Website Video Clips with
Solutions:
Graphing Quadratic Relations example 2
Click on topic “Algebra” then click on “graphing” and watch “Parabolas”
Graphing linear equations example
Click on topic “Algebra” then click on “Triangles” and watch “lines”
4.2 The Quadratic Relation
y=ax2 + k
Page(s) 180 #
Website Video Clips with
Solutions:
Graphing Quadratic Relations example 2
Click on topic “Algebra” then click on “graphing” and watch “Parabolas”
Graphing quadratics explanation the “a”-value
Examples of Quadratic Graphs
4.3 The Quadratic Relation
y=a(x-h)2
Page(s) 194 #
Website Video Clips with
Solutions:
Graphing Quadratics example
Vertical and horizontal shifts of quadratic graphs
4.4 The Quadratic Relation
y=a(x-h)2 + k
Page(s) 204 #
Website Video Clips with
Solutions:
Examples of analyzing quadratic relations
4.5 Interpreting Graphs of
Quadratic relations
Page(s) 218 #
Website Video Clips with
Solutions:
Application problem for quadratic relation example
Unit 4 Review
Pages 226 #
MBF3C UNIT 5: Quadratic Relations: Part 2
*Note: The Quadratic Equation is not in the Curriculum for MBF3C although it is mentioned in the textbook.
5.1 Expanding Binomials
Page(s) 234 #
Website Video Clips with
Solutions:
Expanding Binomials using the FOIL method
Expanding binomials using algebra area tiles
Expanding and simplifying binomials/polynomial examples
Click on topic “Algebra” then click on “polynomials” and watch “multiplication of polynomials”
5.2 Vertex to Standard Form
Page(s) 242 #
Website Video Clips with
Solutions:
Vertex to Standard Form example
Vertex to standard form example 2
5.3 Factor Trinomials of the
form x2 + bx + c
Page(s) 248 #
Website Video Clips with
Solutions:
Additional Support:
Khan Academy Exercises:
Quadratic Functions
Click on Quadratic Functions: Factoring: #13-17 (Common Factoring, Trinomials)
Factoring Trinomials with a=1 example
Click on topic “Algebra” then click on “factoring” and watch “Trinomials with a=1 examples”
Factoring Quadratic example 2
Factoring Quadratic example 3
Review Quadratic Expressions
Watch videos #1 to #12 to review these skills
Review Quadratic Relations
Watch videos #1 to #5 to review these skills
Find the Greatest Common divisor
5.4 Factor Trinomials of the
form ax2 + bx + c
Page(s) 256 #
Website Video Clips with
Solutions:
Factoring Trinomials with a>1
Click on topic “Algebra” then click on “factoring” and watch “Trinomials”
Solving Quadratics by Factoring
Factoring Trinomials with a>1 example 2
Khan Academy Exercises:
Solving Quadratics By Factoring
Finding the greatest common divisor (GCD) is necessary when factoring quadratics. Practice
this skill on Khan Academy.
5.5 The x-Intercepts of a
Quadratic relations
Website Video Clips with
Solutions:
5.6 Solve Problems using
Quadratic Relations
Website Video Clips with
Solutions:
Unit 5 Review
Page(s) 264 #
Factoring Quadratics using the zero property
Go to topic “Algebra” then clock on “Quadratic” and click on “Factoring”
Page(s) 276 #
Application problems for Quadratics
Watch concept video and problems #1-2
Application Problem 1
Application Problem 2
Application Problem 3
Pages 286 #
MBF 3C UNIT 7: Exponents
7.1 Exponent Rules
Page(s) 356 #
Website Video Clips with
Solutions:
Multiplying Exponents
Dividing Exponents
Simplifying Exponents
7.2 Zero and Negative
Exponents
Page(s) 364 #
Website Video Clips with
Solutions:
Negative exponent laws
Zero Exponent Laws example 3
Negative Exponent laws example 2
Exponent Properties
Go to topic “Algebra” and click on “Exponents” then click on the videos
Integer Exponent
Explaining Negative Exponents
Exponent Rules
Khan Academy Exercises:
Exponent Practice 1
Exponent Practice 2
Exponent Rules
Exponent Practice 3
7.3 Exponential Relationships
Page(s) 372 #
Website Video Clips with
Solutions:
7.4 Exponential Relations
Evaluating Exponents
Evaluating exponents example 2
Page(s) 382 #
Website Video Clips with
Solutions:
7.5 Exponential Growth and
Decay
Website Video Clips with
Solutions:
7.6 Exponential Growth and
Decay Problems
Graphing exponential Functions example
Graphing Exponential Functions
Graphing Exponential functions using technology
Page(s) 382 #
Exponential Application Example 1
Exponential Application Example 2
Exponential Application Example Growth and Decay
Page(s) 395 #
Website Video Clips with
Solutions:
Exponential Application Example 1
Exponential Application Example 2
Exponential Application Example Growth and Decay
Unit 7 Review
Pages 414 #
MBF3C UNIT 6: Geometry in Design
6.1 Investigating Geometric
shapes and Figures
Website Video Clips with
Solutions:
Page(s) 296 #
Geometry Help Videos 1
Click on topic “geometry” then watch the videos under the subheading for help in this unit
Geometry Help Videos 2
This website provides a series of videos about geometry that can help you with this unit
Additional Support tools:
6.2 Perspective an Orthographic
Drawings
Website Video Clips with
Solutions:
Additional Support tools:
6.3 Creating Nets, Plans and
patterns
Additional Support tools:
Graphing Software: Geogebra
Graphing software that you can use at home: select “Applet start”. From here, you can
enter equations and get the graph. You also have the choice to download the software for
free.
Page(s) 306 #
Geometry Help Videos 1
Click on topic “geometry” then watch the videos under the subheading for help in this unit
Geometry Help Videos 2
This website provides a series of videos about geometry that can help you with this unit
Graphing Software: Geogebra
Graphing software that you can use at home: select “Applet start”. From here, you can
enter equations and get the graph. You also have the choice to download the software for
free.
Page(s) 318 #
Graphing Software: Geogebra
Graphing software that you can use at home: select “Applet start”. From here, you can
enter equations and get the graph. You also have the choice to download the software for
free.
6.4 Scale Models
Page(s) 327 #
Website Video Clips with
Solutions:
Geometry Help Videos 1
Click on topic “geometry” then watch the videos under the subheading for help in this unit
Geometry Help Videos 2
This website provides a series of videos about geometry that can help you with this unit
Additional Support tools:
Graphing Software: Geogebra
Graphing software that you can use at home: select “Applet start”. From here, you can
enter equations and get the graph. You also have the choice to download the software for
free.
6.5 Application Problems
Page(s) 335 #
Website Video Clips with
Solutions:
Geometry Help Videos 1
Click on topic “geometry” then watch the videos under the subheading for help in this unit
Geometry Help Videos 2
This website provides a series of videos about geometry that can help you with this unit
Additional Support tools:
Unit 6 Review
Graphing Software: Geogebra
Graphing software that you can use at home: select “Applet start”. From here, you can
enter equations and get the graph. You also have the choice to download the software for
free.
Pages 346 #
MBF3C UNIT 8: Compound Interest
8.1 Simple and Compound
Interest
Website Video Clips with
Solutions:
Page(s) 422 #
Introduction to simple interests
Calculating simple interest example 1
Calculating simple interest example 2
Calculating simple interest example 3
Calculating simple interest example 4
Calculating simple interest example 5
Compound interest example
8.2 Compound Interest
Page(s) 430 #
Website Video Clips with
Solutions:
Compound Interest example 1
Only look at Problem #1
Compound Interest future value example
Graphing compound interest
8.3 Present Value
Page(s) 436 #
Website Video Clips with
Solutions:
Compound interest example
Compound interest example annually
Calculating money earned example
8.4 The TVM Solver
Page(s) 442 #
Website Video Clips with
Solutions:
Example of using Graphing calculators for interest
Using a TVM solver video
8.5 Conditions on Loans and
Investments
Page(s) 446 #
Website Video Clips with
Solutions:
Compound interest example semi-annually
Compound interest example monthly
Compound interest example quarterly
Unit 8 Review
Pages 454 #
MBF3C UNIT 9: Personal Finance
9.1 Saving Alternatives
Page(s) 462 #
Website Video Clips with
Solutions:
Using a TVM solver video
Interest earned on an account example
Determining service charges example
9.2 Investment Alternatives
Page(s) 468 #
Website Video Clips with
Solutions:
Mutual Fund example
Mutual fund investing example
GIC Explanation
Calculating a RRSP example
9.3 Managing Credit Cards
Page(s) 476 #
Website Video Clips with
Solutions:
See videos of interest
9.4 Obtaining a Vehicle
Page(s) 482 #
Website Video Clips with
Solutions:
Buying a new vehicle example
Buying a used vehicle example
Leasing a new vehicle example
9.5 Operating a Vehicle
Page(s) 489 #
Website Video Clips with
Calculating fuel costs example
Insuring a vehicle example
Solutions:
Unit 9 Review
Pages 496 #