### Course Outline

Mathematics Essentials 12 is a graduation level high school mathematics course. Students will explore the following topics:

- Measurement
- Math in the Workplace Investigation
- Ratio, Rate, and Proportion
- Major Project

#### Measurement

In this module, students will have the opportunity to learn about measurement topics that involve imperial units in addition to conversions between metric and imperial units.

- Demonstrate an understanding of the meaning and uses of accuracy and precision
- Use a measuring tape to measure tactile items in both imperial and SI units
- Identify the difference between length, area, and volume
- Demonstrate an understanding of the meaning and uses of significant figures
- Demonstrate an understanding of, and be able to solve problems using dimensional analysis
- Identify, use, and convert among and between SI units and Imperial units to measure and solve measurement problems
- Estimate distances by using a personal benchmark such as walking pace
- Demonstrate an understanding of, and be able to solve problems using the Pythagorean Theorem

Math in the Workplace

In this module, students will have the opportunity to examine many skilled trades and to choose the top three that have caught their interest.

- Investigate a range of career opportunities to determine the best personal fit for their interests within the trades
- Demonstrate to others what type of mathematical knowledge is required to be successful at various career choices
- Demonstrate entry level competence in the mathematics associated with the specific career choice the student has made
- Sketch and construct a model which will enable a student to show others some mathematics involved in a career interest
- Investigate the math used in a variety of workplaces

#### Ratio, Rate, and Proportions

In this module, students will have the opportunity to examine a number of topics related to ratio, rate, and proportion as they apply to various trades.

- Calculate the dimensions of actual objects using blueprints with various scales
- Sketch and build representations of three-dimensional objects using a variety of materials and information about the objects
- Illustrate, explain, and express ratios, fractions, decimals, and percents in alternative forms
- Find and calculate rates in practical applications such as pulse rate
- Estimate and calculate deductions taken from a pay stub as percent of gross earnings
- Sketch enlargements and reductions of objects using various scales
- Use the slope formula to solve trigonometric problems commonly found in industry

#### Major Project

At the start of this module, students should have been exposed to a variety of information and experiences that will help them with the mathematics associated with their career choices.

- Demonstrate to others what type of mathematical knowledge is required to be successful at their career choice
- Demonstrate competence in the mathematics associated with the specific career choice the student has made
- Prepare a detailed blueprint for, and construct a model which will enable a student to show others some mathematics involved in a specific career interest
- Investigate a post-secondary institution that teachers the trade of interest for each student
- Investigate a job-site situation that will provide an example of the career that each student has chosen to pursue

**Updated August 24, 2021**