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MATH 10CMATH 20-1MATH 30-1
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Measurement 10CTrigonometry 20-1Trigonometry 30-1
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Solve problems that involve linear measurement, using:
• SI and imperial units of measure
• estimation strategies
• measurement strategies
(ME, PS,V)		Demonstrate an understanding of angles in standard position [0° to 360°]
(R, V)		Demonstrate an understanding of angles in standard position, expressed in degrees and radians
(CN , ME, R, V)
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Apply proportional reasoning to problems that involve conversions between SI and imperial units of measure
(C, ME, PS)		Solve problems, using the three primary trigonometric ratios for angles from 0° to 360° in standard position
(C, ME, PS, R, T, V) (ICT: C6-4.1)		Develop and apply the equation of the unit circle
(CN, R, V)
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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
(CN, PS, R, V)		Solve problems, using the cosine law and sine law, including the ambiguous case.
(C, CN, PS, R, T) (ICT: C6-4.1)		Solve problems, using the six trigonometric ratios for angles expressed in radians and degrees
(ME, PS, R, T, V) (ICT: C6-4.1)
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Develop and apply the primary trigonometric ratios (sine, cosine, tangent) to solve problems that involve right triangles
(C, CN, PS, R, T, V)		Graph and analyze the trigonometric functions sine, cosine and tangent to solve problems
(CN, PS, T, V) (ICT: C6-4.1, C6-4.3)
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Solve, algebraically and graphically, first and second degree trigonometric equations with the domain expressed in degrees and radians
(CN, PS, R, T, V) (ICT: C6-4.1, C6-4.4)
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Prove trigonometric identities, using:
• reciprocal identities
• quotient identities
• Pythagorean identities
• sum or difference identities (restricted to sine, cosine and tangent)
• double-angle identities (restricted to sine, cosine and tangent)
(R, T, V) (ICT: C6-4.1, C6-4.4)
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Algebra and Number 10CAlgebra and Number 20-1Permutations, Combinations and Binomial Theorem 30-1
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Demonstrate an understanding of factors of whole numbers by determining the:
• prime factors
• greatest common factor
• least common multiple
• square root
• cube root
(CN, ME, R)		Demonstrate an understanding of the absolute value of real numbers
(R, V)		Apply the fundamental counting principle to solve problems
(C, PS, R, V) (ICT: C6-2.3)
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Demonstrate an understanding of irrational numbers by:
• representing, identifying and simplifying irrational numbers
• ordering irrational numbers
(CN, ME, R, V) (ICT: C6-2.3)		Solve problems that involve operations on radicals and radical expressions with numerical and variable radicands
(CN, ME, PS, R)		Determine the number of permutations of n elements taken r at a time to solve problems
(C, PS, R, V)
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Demonstrate an understanding of powers with integral and rational exponents
(C, CN, PS, R)		Solve problems that involve radical equations (limited to square roots)
(C, PS, R)		Determine the number of combinations of n different elements taken r at a time to solve problems
(C, PS., R, V)
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Demonstrate an understanding of the multiplication of polynomial expressions (limited to monomials, binomials and trinomials), concretely, pictorially and symbolically.
(CN, R, V)		Determine equivalent forms of rational expressions (limited to numerators and denominators that are monomials, binomials or trinomials)
(C, ME, R)		Expand powers of a binomial in a variety of ways, including using the binomial theorem (restricted to exponents that are natural numbers)
(CN, R, V)
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Demonstrate an understanding of common factors and trinomial factoring, concretely, pictorially and symbolically.
(C, CN, R, V)		Perform operations on rational expressions (limited to numerators and denominators that are monomials, binomials or trinomials)
(CN, ME, R)
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Solve problems that involve rational equations (limited to numerators and denominators that are monomials, binomials or trinomials)
(C, PS, R)
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Relations and Functions 10CRelations and Functions 20-1Relations and Functions 30-1
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Intrepret and explain the relationships amoung data, graphs and situations
(C, CN, R, T, V) (ICT: C6-4.3, C7-4.2)		Factor polynomial expressions of the form:
• ax² + bx +c, a does not equal 0
• a²x² - b²y², a does not equal 0, b does not equal 0
• a(f(x))² + b(f(x)) + c, a does not equal 0
• a²(f(x))² - b² (g(y))², a does not equal 0, b does not equal 0
where a, b, and c are rational numbers
(CN, ME, R)		Demonstrate an understanding of operations on, and compositions of, functions
(CN, R, T, V) (ICT: C6-4.1)
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Demonstrate an understanding of relations and functions
(C, R, V)		Graph and analyze absolute value functions (limited to linear and quadratic functions) to solve problems
(C, PS, R, T, V) (ICT: C6-4.1, C6-4.3)		Demonstrate an understanding of the effects of horizontal and vertical translations on the graphs of functions and their related equations
(C, CN, R, V)
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Demonstrate an understanding of slope with respect to:
• rise and run
• line segments and lines
• rate of change
• parallel lines
• perpendicular lines
(PS, R, V)		Analyze quadratic functions of the form y=a(x - p)² + q and determine the:
• vertex
• domain and range
• direction of opening
• axis of symmetry
• x- and y-intercepts
(CN, R, T, V) (ICT: C6-4.3, C7-4.2)		Demonstrate an understanding of the effects of horizontal and vertical stretches on the graphs of functions and their related equations
(C, CN, R, V)
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Describe and represent linear relations, using:
• words
• ordered pairs
• tables of values
• graphs
• equations
(C, CN, R, V)		Analyze quadratic functions of the form y=ax² + bx + c to identify characteristics of the cooresponding graph including:
• vertex
• domain and range
• direction of opening
• axis of symmetry
• x- and y-intercepts
and to solve problems
(CN, PS, R, T, V) (ICT: C6-4.1, C6-4.3)		Apply translations and stretches to the graphs and equations of functions (
C, CN, R, V)
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Determine the characteristics of the graphs of linear relations, including the:
• intercepts
• slope
• domain
• range
(CN, PS, R, V) 		Solve problems that involve quadratic equations
(C, CN, PS, R, T, V) (ICT: C6-4.1)		Demonstrate an understanding of the effects of reflections on the graphs of functions and their related equations, including reflections through the:
• x-axis
• y-axis
• line y = x
(C, CN, R, V)
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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
(CN, R, T, V) (ICT: C6-4.3)		Solve, algebraically and graphically, problems that involve systems of linear-quadratic and quadratic-quadratic equations in two variables.
(CN, PS, R, T, V) (ICT: C6-4.1, C6-4.4)		Demonstrate an understanding of inverses of relations
(C, CN, R, V)
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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
(CN, PS, R, V)		Solve problems that involve linear and quadratic inequalities in two variables.
(C, PS, T, V) (ICT: C6-4.1, C6-4.3)		Demonstrate an understanding of logarithms
(CN, ME, R)
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Represent a linear function, using function notation
(CN, ME, V)		Solve problems that involve quadratic inequalities in one variable.
(CN, PS, V)		Demonstrate an understanding of the product, quotient and power laws of logarithms
(C, CN, ME, R, T) (ICT: C6-4.1)
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Solve problems that involve systems of linear equations in two variables, graphically and algebraically
(CN, PS, R, T, V) (ICT: C6-4.1)		Analyze arithmetic sequences and series to solve problems. (CN, PS, R)Graph and analyze exponential and logarithmic functions
(C, CN, T, V) (ICT: C6-4.3, C6-4.4, F1-4.2)
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Analyze geometric sequences and series to solve problems. (PS, R)Solve problems that involve exponential and logarithmic equations
(C, CN, PS, R)
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Graph and analyze reciprocal functions (limited to the reciprocal of linear and quadratic functions) .
(CN, R, T, V) (ICT: C6-4.1, C6-4.3)		Demonstrate an understanding of factoring polynomials of degree greater than 2 (limited to polynomials of degree ≤ 5 with integral coefficients)
(C, CN, ME)
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Graph and analyze polynomial functions (limited to polynomial functions of degree ≤ 5 )
(C, CN, T, V) (ICT: C6-4.1, C6-4.3)
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Graph and analyze radical functions (limited to functions involving one radical)
(CN, R, T, V) (ICT: C6-4.1, C6-4.4)
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Graph and analyze rational functions (limited to numerators and denominators that are monomials, binomials or trinomials)
(CN, R, T, V) (ICT: C6-4.1,NC6-4.3, C6-4.4)
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