Gizmos for Yukon Territory - Mathematics: Principles of Mathematics: Grade 12 (Learning Outcomes adopted 2006)

This correlation lists the recommended Gizmos for this province's curriculum standards. Click any Gizmo title below for more information.

A: : Students use patterns to describe the world and to solve problems; represent algebraic expressions in multiple ways; and, use algebraic and graphical models to generalize patterns, make predictions, and solve problems.

A.1: : derive and apply expressions to represent general terms for geometric growth and to solve problems

A.4: : solve exponential equations having bases that are powers of one another

A.5: : solve and verify exponential and logarithmic equations

A.8: : determine the exact and the approximate values of trigonometric ratios for any multiples of 0°, 30°, 45°, 60° and 90°, and 0 rad, pi / 6 rad, pi / 4 rad, pi / 3 rad, and pi / 2 rad

A.11: : analyse trigonometric identities

A.11.1: : graphically

A.12: : use sum, difference, and double angle identities for sine and cosine to verify and simplify trigonometric expressions

A.14: : model, graph, and apply exponential functions to solve problems

A.15: : model, graph, and apply logarithmic functions to solve problems

A.16: : describe the three primary trigonometric functions as circular functions with reference to the unit circle and an angle in standard position

A.17: : sketch and analyse the graphs of sine, cosine, and tangent functions, for

A.17.1: : amplitude, if defined

A.17.2: : period

A.17.4: : asymptotes, if any

A.17.5: : behaviour under transformations

A.18: : use trigonometric functions to model and solve problems

B: : Students perform, analyse, and create transformations of functions and relations that are described by equations or graphs.

B.1: : describe how vertical and horizontal translations of functions affect graphs and their related equations:

B.1.1: : y = f(x − h)

B.1.2: : y − k = f(x)

B.2: : describe how compressions and expansions of functions affect graphs and their related equations:

B.2.1: : y = af(x)

B.2.2: : y = f(kx)

B.3: : describe how reflections of functions in both axes and in the line y = x affect graphs and their related equations:

B.3.1: : y = f(−x)

B.3.2: : y = −f(x)

B.3.3: : y = f to the −1 power (x)

B.4: : using the graph and/or the equation of f(x), describe and sketch 1 / f(x)

B.5: : using the graph and/or the equation of f(x), describe and sketch |f(x)|

C: : Students solve problems based on the counting of sets, using techniques such as the fundamental counting principle, permutations, combinations, and combining of simpler probabilities.

C.2: : use factorial notation to determine different ways of arranging n distinct objects in a sequence

C.3: : determine the number of permutations of n different objects taken r at a time, and use this to solve problems

C.4: : determine the number of combinations of n different objects taken r at a time, and use this to solve problems

C.7: : classify events as independent or dependent

C.9: : determine the conditional probability of two events

C.10: : solve probability problems involving permutations, combinations, and conditional probability

Correlation last revised: 9/16/2020

Yukon Territory - Mathematics: Principles of Mathematics: Grade 12

Learning Outcomes | Adopted: 2006

A: : Students use patterns to describe the world and to solve problems; represent algebraic expressions in multiple ways; and, use algebraic and graphical models to generalize patterns, make predictions, and solve problems.

B: : Students perform, analyse, and create transformations of functions and relations that are described by equations or graphs.

C: : Students solve problems based on the counting of sets, using techniques such as the fundamental counting principle, permutations, combinations, and combining of simpler probabilities.