# 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

AVAILABILITY: Full-time – All Campuses, Private – All campuses, Blyth Academy Online

THE ONTARIO CURRICULUMMathematics

## Course Overview

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.

### UNIT ONE Geometry

Essential Question: How can mathematics be used to model relationships between quantities in the real-world?

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.

### UNIT TWO Trigonometry

Essential Question: How can relationships in triangles be used to model and solve real-world problems?

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°.

### UNIT THREE Exponents

Essential Question: How can exponents be utilized to express very large and very small numbers?

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 FOUR Modelling Graphically

Essential Question: How do the graphs of mathematical models and data help us better understand the world in which we live?

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 FIVE Modelling Algebraically

Essential Question: How do I utilize equations to solve real-world problems?

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 SIX Two Variable Data

Essential Question: How do I analyze statistical information represented in the real world?

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 SEVEN Applying Data Management

Essential Question: How do I interpret and analyze real-world data?

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 EIGHT Understanding Annuities

Essential Question: What are the advantages of having an annuity and what does it cost?

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 NINE Renting or Owning?

Essential Question: How do you decide if you enter the rental market or if you buy a house?

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.

### UNIT TEN BUDGETS

Essential Question: Why is it important to have a balanced budget?

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.

Please consult our Frequently Asked Questions Page or the Exam section within your course for more details on final exams and the exam fee. More information can also be found in our Student Handbook.

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