Foundations for College Mathematics

 In this unit, students will review some important ideas. Specifically, mathematics is the study of patterns and form and mathematicians communicate their findings by using a special mathematical language. The unit begins with a review of polynomials and how to work with them using addition, subtraction, multiplication, division and binomial distribution. Then, students will review factoring of quadratics as an introduction to a lead to graphing of quadratics, which is taught later in the course. The unit has both a review assignment and quiz.  (11.5 hours)

 This unit begins by discussing the real-world applications using the approximation of parabolas. In the next section, students will be given a quadratic equation in standard form (y = ax² + bx + c) or in vertex form (y = a(x-h)² + k). From the equation they will set up a table of values and use this to graph the parabola by hand and then using online graphing software. Once students know how to set up a table of values and graph the functions by hand and with using software, they will be encouraged to interpret the effects of the different parameters. Students will also look at examples of Quadratic Relationships that are found in real-life situations and interpret their charts and graphs. (16 hours)

 In this unit, students will review the exponent laws before moving on to negative exponents and an exploration of their meaning. Students will also look at real life examples and applications of these tools. Before students begin working with the graphs of exponential relations, they will distinguish exponential relation graphs from linear (straight line) and quadratic relations (parabolas). Students will spend the last lessons of the unit working through applications of exponential functions including exponential growth and decay.  (16 hours)

 When making major purchases such as cars, homes, and recreation vehicles, the cost of borrowing increases because the interest is compounded. The first topic of the unit will be an exploration of compound interest examples, problems, and how to use the graphing calculator to solve them. Then the next part of the unit will be done as an assignment - students will be investigating various financial institutions and comparing their services, costs, charges etc. In the last one third of the unit, students will look at the financial advantages of buying a new vehicle, a used vehicle, or leasing a vehicle. (16 hours)

Welcome to the wonderful world of Data Management. Whether students are interested in sports, business, travel, or just working with numbers, they will see applications for the skills taught in this unit. Students will gather data, design questionnaires, conduct surveys, interpret, and analyse findings. The unit begins with an investigation into the various methods of surveying a population. Next, the design of the data collection questionnaire will be examined. Bar graphs or histograms and circle graphs are used to represent data. Then students will also use software to display data. Students will analyse their findings and assess its reliability. Students will also begin an exploration of probability and relative frequency. (16 hours) 

 We take a look at different ways of picturing solid shapes. We use isometric, perspective, and orthographic methods to represent 3-dimensional objects. We investigate the nets of shapes, and also look at applications of geometry in design, art and architecture.  (16  hours)

We end our course with a unit on trigonometry. Students will be introduced to how trigonometry is used in real life. They will develop an understanding of the basic trigonometric ratios. The Sine Law will be explored as a tool for non right-angle triangles. The Cosine Law and its application will conclude the unit and course.  (16  hours)

 This course includes  a proctored exam worth 30% of your final grade.  (2.5 hours)