## Mathematics at Work 10

### Course Outline

Mathematics at Work 10 is a graduation level high school mathematics course. Students will explore the following topics:

• Measurement
• Geometry
• Number
• Algebra

#### Measurement (M)

Students will be expected to develop spatial sense through direct and indirect measurement.

• demonstrate an understanding of the International System of Units (SI) by
- describing the relationships of the units for length, area, volume, capacity, mass, and temperature.
- applying strategies to convert SI units to imperial units.
• demonstrate an understanding of the imperial system by
- describing the relationships of the units for length, area, volume, capacity, mass, and temperature.
- comparing the American and British imperial units for capacity.
- applying strategies to convert imperial units to SI units.
• solve and verify problems that involve SI and imperial linear measurements, including decimal and fractional measurements.
• solve problems that involve SI and imperial area measurements of regular, composite, and irregular 2-D shapes and 3-D objects, including decimal and fractional measurements, and verify the solutions.

#### Geometry (G)

Students will be expected to develop spatial sense.

• analyze puzzles and games that involve spatial reasoning, using problem-solving strategies.
• demonstrate an understanding of the Pythagorean theorem by identifying situations that involve right triangles, verifying the formula, applying the formula, and solving problems.
• demonstrate an understanding of similarity of convex polygons, including regular and irregular polygons.
• demonstrate an understanding of primary trigonometric ratios (sine, cosine, tangent) by applying similarity to right triangles, generalizing patterns from similar right triangles, applying the primary trigonometric ratios, and solving problems.
• solve problems that involve parallel, perpendicular, and transversal lines, and pairs of angles formed between them.
• demonstrate an understanding of angles, including acute, right, obtuse, straight, and reflex, by drawing, replicating and constructing, bisecting, and solving problems.

#### Number (N)

Students will be expected to develop number sense and critical thinking skills.

• solve problems that involve unit pricing and currency exchange, using proportional reasoning.
• demonstrate an understanding of income to calculate gross pay and net pay, including wages, salary, contracts, commissions, and piecework.

#### Algebra (A)

Students will be expected to develop algebraic reasoning.

• solve problems that require the manipulation and application of formulas related to perimeter, area, the Pythagorean theorem, primary trigonometric ratios, and income.

Updated August 24, 2021