Grade 12 - Mathematics 30-2 (2008)

Logical Reasoning

Probability

Relations and Functions

Mathematics Research Project

Develop logical reasoning. 

Analyze puzzles and games that involve numerical and logical reasoning, using problem-solving strategies. 

Solve problems that involve the application of set theory. 

Develop critical thinking skills related to uncertainty. 

Interpret and assess the validity of odds and probability statements.

Solve problems that involve the probability of mutually exclusive and non–mutually exclusive events. 

Solve problems that involve the probability of two events. 

Solve problems that involve the fundamental counting principle. 

Solve problems that involve permutations. 

Solve problems that involve combinations. 

Develop algebraic and graphical reasoning through the study of relations. 

Determine equivalent forms of rational expressions (limited to numerators and denominators that are monomials and binomials). 

Perform operations on rational expressions (limited to numerators and denominators that are monomials and binomials). 

Solve problems that involve rational equations (limited to numerators and denominators that are monomials and binomials). 

Demonstrate an understanding of logarithms and the laws of logarithms. 

Solve problems that involve exponential equations. 

Represent data, using exponential and logarithmic functions, to solve problems. 

Represent data, using polynomial functions (of degree ≤ 3), to solve problems. 

Represent data, using sinusoidal functions, to solve problems. 

Develop an appreciation of the role of mathematics in society. 

Research and give a presentation on a current event or an area of interest that involves mathematics.