Mathematics 9  Students in Grade 10 and up
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This is an ONLINE course, complete with online quizzes and tests (at teachers descretion) , dropbox submissions, discussions, links to online resources and animations, online grades and communication with your instructor via pager, email and telephone. The online course is the recommended format.
Learning Outcome A1
Demonstrate an understanding of powers with integral bases (excluding base 0) and whole number exponents by:
Representing repeated multiplication using powers
Using patterns to show that a power with an exponent of zero is equal to one
Solving problems involving powers
Learning Outcome A2
Demonstrate an understanding of operations on powers with integral bases (excluding base 0) and whole number exponents
Learning Outcome A3
Demonstrate an understanding of rational numbers by:
 comparing and ordering rational numbers
 solving problems that involve arithmetic operations on rational numbers
Learning Outcome A4
Explain and apply the order of operations, including exponents, with and without technology
Learning Outcome A5
Determine the square root of positive rational numbers that are perfect squares
Learning Outcome A6
Determine an approximate square root of positive rational numbers that are nonperfect squares
Learning Outcome B1
Generalize a pattern arising from a problemsolving context using linear equations and verify by substitution
Learning Outcome B2
Graph linear relations, analyse the graph, and interpolate or extrapolate to solve problems
Learning Outcome B3
Model and solve problemsusing linear equations of the form:
 ax = b
 a/x = b , a≠ 0
 ax + b = c
 a/x + b = c , a≠ 0
 ax = b + cx
 a(x + b) = c
 x/a + b = cx + d
 a(bx + c) = d(ex + f)
 x/a = b , x ≠ 0
where a, b, c, d, e, and f are rational numbers
Learning Outcome B4
Explain and illustrate strategies to solve single variable linear inequalities with rational coefficients within a problemsolving context
Learning Outcome B5
Demonstrate an understanding of polynomials (limited to polynomials of degree less than or equal to 2)
Learning Outcome B6
Model, record, and explain the operations of addition and subtraction of polynomial expressions, concretely, pictorially, and symbolically (limited to polynomials of degree less than or equal to 2)
Learning Outcome B7
Model, record, and explain the operations of multiplication and division of polynomial expressions (limited to polynomials of degree less than or equal to 2) by monomials, concretely, pictorially, and symbolically
Learning Outcome C1
Solve problems and justify the solution strategy using circle properties, including:
 the perpendicular from the centre of a circle to a chord bisects the chord
 the measure of the central angle is equal to twice the measure of the inscribed angle subtended by the same arc
 the inscribed angles subtended by the same arc are congruent
 a tangent to a circle is perpendicular to the radius at the point of tangency
Learning Outcome D1
Describe the effect of:
 bias
 use of language
 ethics
 cost
 time and timing
 privacy
 cultural sensitivity on the collection of data
Learning Outcome D2
Select and defend the choice of using either a population or a sample of a population to answer a question
Learning Outcome D3
Develop and implement a project plan for the collection, display, and analysis of data by
 formulating a question for investigation
 choosing a data collection method that includes social considerations
 selecting a population or a sample
 collecting the data
 displaying the collected data in an appropriate manner
 drawing conclusions to answer the question
Learning Outcome D4
Demonstrate an understanding of the role of probability in society