Mathematics 10

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 = mx + b);
    - general form (Ax + By + C = 0);
    - slope-point form (yy1) = m(xx1)
  • 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