### Course Outline

Mathematics 10 is an academic high school mathematics course.

Students in Mathematics 10 will explore the following topics:

- Measurement (M)
- Algebra and Number
- Relations and Functions (RF)
- Financial Mathematics (FM)

#### Measurement (M)

Students will be expected to develop spatial sense and proportional reasoning.

- solve problems that involve linear measurement, using SI and Imperial units of measure, estimation strategies, and measurement strategies.
- apply proportional reasoning to problems that involve conversions.
- solve problems, using SI and imperial units, that involve the surface area and volume of 3-D objects, including right cones, right cylinders, right prisms, right pyramids, and spheres.
- develop and apply the primary trigonometric ratios (sine, cosine, tangent) to solve problems that involve right triangles.

#### Algebra and Number (AN)

Students will be expected to develop algebraic reasoning and number sense.

- demonstrate an understanding of factors of whole numbers by determining the prime factors, greatest common factor, least common multiple, square root, and cube root.
- represent, identify, simplify, and order irrational numbers.
- demonstrate an understanding of powers with integral and rational exponents.
- multiply polynomial expressions (limited to monomials, binomials, and trinomials), concretely, pictorially, and symbolically.
- demonstrate an understanding of common factors and trinomial factoring, concretely, pictorially, and symbolically.

#### Relations and Functions (RF)

Students will be expected to develop algebraic and graphical reasoning through the study of relations.

- interpret and explain the relationships among data, graphs, and situations.
- demonstrate an understanding of relations and functions.
- demonstrate an understanding of slope with respect to rise and run, line segments and lines, rate of change, parallel lines, and perpendicular lines.
- describe and represent linear relations, using words, ordered pairs, tables of values, graphs, and equations.
- determine the characteristics of the graphs of linear relations, including the intercepts, slope, domain, and range.
- relate linear relations to their graphs, expressed in

- slope-intercept form (*y*= m*x*+ b);

- general form (A*x*+ B*y*+ C = 0);

- slope-point form (*y*–*y*1) = m(*x*–*x*1) - determine the equation of a linear relation to solve problems, given a graph, a point and the slope, two points, and a point and the equation of a parallel or perpendicular line.
- solve problems that involve the distance between two points and the midpoint of a line segment.
- represent a linear function, using function notation.
- solve problems that involve systems of linear equations in two variables, graphically and algebraically.

#### Financial Mathematics (FM)

Students will be expected to demonstrate 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.
- investigate personal budgets.
- explore and give a presentation on an area of interest that involves financial mathematics.

**Updated August 24, 2021**