MAP4C

Grade 12, College Preparation
 * MAP4C - Foundations for College Preparation**

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=Overall Course Description= Foundation for College Preparation will satisfy the math prerequisite for most college programs, including programs in business, human services, hospitality and tourism, and some health services.

In this course, students will:
 * Broaden their understanding of real world applications of mathematics;
 * Analyse data using statistical methods;
 * Solve problems using applications of geometry and trigonometry;
 * Solve financial problems connected with annuities, budgets, and renting or owning accomodation;
 * Simplify expressions; and,
 * Solve equations.

=Prerequisites= Foundation for College Mathematics, Grade 11, College Preparation (MBF3C) Functions and Applications, Grade 11, University/College Preparation (MCF3M) = = =Strands & Units= These units are based on the 2009 McGraw-Hill Ryerson "Foundations for College Mathematics 12" textbook, supplemented by various other resources and materials (listed below).
 * Either of**:

Goals


 * distinguish between situations requiring one- and two-variable data
 * collect and represent two-variable data in graph and algebraic form
 * recognize data that relates linearly and draw a line of best fit when appropriate
 * describe and draw conclusions about the relationship of two-variable data through analysis
 * describe characteristic of an effective data collection and use these in designing a questionnaire or experiment

Unit 2 - Apply Data Management (Ch. 4)
Goals


 * recognize statistical terminology and indices
 * interpret statistics presented in the media and explore possible sources of misrepresentation and bias
 * assess validity of conclusions based on statistics presented in the media Explore applications of data management in occupations

Goals
 * determine and use exponential law for multiplying and dividing by exponents, and simplify expressions involving powers of powers and use law to solve and graph real world problems involving exponential equations
 * identify relationships between graphical models using given information of initial conditions and rates of change, and explain connections using language
 * recognize tendencies and behaviours between graphs to justify decisions based on future outcomes
 * make connections between formulas and their linear, quadratic and exponential functions and use these to model and solve real world, multistep problems

Goals
 * compare different varieties and recognize different features associated with mortgages
 * gather, interpret, and generate amortization table for a mortgage using a variety of tools and strategies
 * solve problems using technology to demonstrate an understanding of mortgages and investments involving annuities
 * investigate the advantages and disadvantages of renting a home versus buying a home

Goals
 * gathering and interpreting information about living costs and compare the factors that affect monthly living expenses
 * identify and prioritize personal financial goals in order to create a successful budget
 * learn to make adjustments to a budget to accommodate changes and circumstances
 * learn how to plan for future goals (e.g. a new car, retirement)
 * identify factors that affect affordability of different accommodations and circumstances for savings

Goals


 * evaluate problems involving the application of measurement and geometry
 * investigate the perimeter, area, and volume of various shapes and objects
 * recognize relationships between dimensions of a prism and its surface area to maximize volume/capacity
 * solve problems involving optimal dimensions of two- and three-dimensional objects with real-world applications
 * complete various exercises using both metric and imperial units, and showing conversion of each

Goals


 * apply trigonometric ratios and sine and cosine laws to solve for unknown sides of right and acute triangles
 * evaluate values of the sine, cosine, and tangent of acute and obtuse angles
 * utilize various means of investigation to solve trigonometric problems (e.g. dynamic computational software, geoboards to compare similar/congruent triangles, calculate trigonometric ratios of supplementary angles)
 * explore and analyse various applications of trigonometric information within occupations, and college curricula that utilize these systems

=Resources=

Texts

 * Course Texts**:
 * Erdman, Wayne, Jacob Speijer, Rolly Meisel et al., "**Foundations for College Mathematics 12**", McGraw-Hill Ryerson, 2009.
 * Edwards, Bonnie, Glenn Gadsby, Cathy Heideman et al., "**Foundations for College Mathematics 12**", Pearson Education Canada, 2009.


 * Additional Resources**:
 * OAME MAP4C Resources - http://www.oame.on.ca/main/staging9.php?code=grspecres&ph=12&sp=MAP4C
 * eLearningOntario - http://www.edu.gov.on.ca/elearning/
 * The Ontario Curriculum, Grades 11 and 12 Mathematics - http://www.edu.gov.on.ca/eng/curriculum/secondary/math1112currb.pdf
 * Ministry of Education website - http://www.curriculum.org/occ/trillium/resources/Mathematics_12.shtml
 * McGraw-Hill Ryerson textbook website - http://highered.mcgraw-hill.com/sites/0070725144/information_center_view0/table_of_contents.html
 * Math Open Reference (particularly for Chapters 6 and 7) - http://www.mathopenref.com/
 * Sir Robert Borden mathematics video website - http://www.sirrobertbordenhs.ocdsb.ca/index.php?id=28