Grade 10 - Mathematics 10C (2008)

Measurement

Algebra and Number

Relations and Functions

Develop spatial sense and proportional reasoning

Solve problems that involve linear measurement, using: • SI and imperial units of measure • estimation strategies • measurement strategies.  

Apply proportional reasoning to problems that involve conversions between SI and imperial units of measure.

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 • spheres. 

Develop and apply the primary trigonometric ratios (sine, cosine, tangent) to solve problems that involve right triangles.  

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 • cube root 

Demonstrate an understanding of irrational numbers by: • representing, identifying and simplifying irrational numbers • ordering irrational numbers. 

Demonstrate an understanding of powers with integral and rational exponents. 

Demonstrate an understanding of the multiplication of 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.

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 • perpendicular lines.

Describe and represent linear relations, using: • words • ordered pairs • tables of values • graphs • equations.  

Determine the characteristics of the graphs of linear relations, including the: • intercepts • slope • domain • range.  

Relate linear relations expressed in: • slope–intercept form (y = mx + b) • general form (Ax + By + C = 0) • slope–point form (y – y1 = m(x – x1)) to their graphs.   

Determine the equation of a linear relation, given: • a graph • a point and the slope • two points • a point and the equation of a parallel or perpendicular line to solve problems.

Represent a linear function, using function notation.  

Solve problems that involve systems of linear equations in two variables, graphically and algebraically.