MAP4C Foundations for College Mathematics – Grade 12 (College)
PREREQUISITE: Foundations for College Mathematics, Grade 11, College Preparation, or Functions and Applications, Grade 11, University/College Preparation
GRADE: 12 (College)
AVAILABILITY: Full-time – All Campuses, Private – All campuses, Blyth Academy Online
THE ONTARIO CURRICULUM: Mathematics
MAP4C online enables students to broaden their understanding of real-world applications of mathematics. Students will analyze data using statistical methods; solve problems involving applications of geometry and trigonometry; solve financial problems connected with annuities, budgets, and renting or owning accommodation; simplify expressions, and solve equations. Students will reason mathematically and communicate their thinking as they solve multi-step problems. MAP4C online prepares students for college programs in areas such as business, health sciences, and human services, and for certain skilled trades.
- In this unit, students will perform conversions between the metric and the imperial system. Students will also calculate the perimeter, area and volume of familiar and composite shapes. Students will also learn how to state the significance of a square, a cube and a right cylinder when determining optimal values.
- In this unit, students will use the primary trig ratios (sine, cosine and tangent) along with Sine Law and Cosine Law to calculate the lengths of sides and the values of angles. Students will identify the meaning of an obtuse angle and determine the primary trig ratios of angles between 90° and 180°.
- In this unit, students will evaluate powers and simplify algebraic expressions using laws of exponents. Students will learn to evaluate rational exponents and simplify numerical and algebraic expressions involving rational exponents and learn how to solve equations that involve exponents, both graphically and algebraically.
UNIT FOURModelling Graphically
- In this unit, students will identify trends in data (shown in graphs and tables of values). Students will learn to communicate information about rates of change and calculate the rate of change. Students will also learn to identify how movement is translated onto a graph and compare linear, quadratic and exponential graphs and their trends.
UNIT FIVEModelling Algebraically
- In this unit, students will learn how to solve equations using rational exponents. Students will learn how to solve problems involving formulas, including rearranging formulates to solve for a specific variable.
UNIT SIXTwo Variable Data
- In this unit, students will learn how to distinguish solutions requiring one and two variable data analysis. Students will also learn how to create and read a scatter plot, draw a line of best fit and use this line to predict trends. Students will interpret lines of best fit and scatter plots, determine whether a line of best fit or curve of best fit is appropriate and draw conclusions from the analysis of these graphs. Students will also learn how to create an effective survey.
UNIT SEVENApplying Data Management
- In this unit, students will learn to recognize and interpret common statistical terms and expressions used in the media, such as percentile. Students will also learn to describe examples of indices used in the media and be able to interpret and assess the validity of stats presented in the media.
UNIT EIGHTUnderstanding Annuities
- In this unit, students will learn how to identify key features and real-world applications of annuities. Students will learn how to calculate the value, regular payment and present value of a simple, ordinary annuity as well as how to describe features of mortgages, generate an amortization table and calculate total interest paid over a mortgage.
UNIT NINERenting or Owning?
- In this unit, students will compare the costs of renting and owning. Students will also solve problems that involve both fixed and variable costs of renting and owning.
- In this unit, students will estimate the living costs of different households and design a savings plan to achieve a long-term goal. Students will also design, explain and justify a monthly budget for an individual or family. Finally, students will learn how to make adjustments to budgets and identify factors to be considered when designing a budget.
- This project is one of the final evaluations of MAP4C online. This project will challenge students to think critically about the concepts learned in this course. It is worth 10% of the final grade.
FINAL EXAMProctored Exam
- This exam is the final evaluation of MAP4C online. Students need to arrange their final exam 10 days in advance. All coursework should be completed and submitted before writing the final exam, please be advised that once the exam is written, any outstanding coursework will be given a grade of zero. The exam will be two hours. There are three options for taking the exam:
- WRITE EXAM AT BLYTH ACADEMY CAMPUS: If you live close to a Blyth Academy Campus, or if you attend a Blyth Academy Campus, you can take your exam there. Once inside the exam scheduling interface, please click Login/Create Account. Check for an available time and date at the campus of your choosing. The earliest available date will be open within the next 3-5 business days. You cannot book an exam in more than one campus or multiple times at the same campus. You will receive an automatic confirmation email with next steps and exam information. You can cancel and reschedule anytime using the same link.
- ARRANGE YOUR OWN PROCTOR: If you want to arrange a proctor yourself, you can do that. The proctor will need to be approved by us and will need to supervise the exam at his or her place of work, or at a public place such as a library. Some libraries and study centres offer this service themselves. The proctor must be approved by us and must be a working professional (eg teacher, doctor, businessperson, and must provide a work email address for correspondence (no Gmail, Hotmail, etc.). Please note that the final exam cannot be proctored by a family member or by a tutor for that specific subject. Once inside the exam scheduling interface, please click Login/Create Account. Select Arranging My Own Proctor and proceed to schedule your exam.
- USE EXAMITY PROCTORING SERVICE: For a fee of 22 USD*, students can arrange to take their exam in the comfort of their own home, at any time, on any day. Please select Examity Exam in the exam section of your course to set up your Examity profile and schedule your exam. Exams must be scheduled at least 24 hours in advance. *Price is subject to change.
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