## Mathematics Essentials 12

### 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