Math 30-2
COURSE OUTLINE
Textbook: Principles of Mathematics 12
Course Work = 50%
Diploma Final Exam = 50%
1. Set Theory
7 classes
2. Combinatorics
9 classes
Sets
•
•
•
•
•
empty, disjoint, subsets and universal sets
Venn diagrams
connecting words (and, or, not)
set notation
complement, intersection, union
The Fundamental Counting Principle
• construct graphic organizers for FCP
• inductive reasoning
• solve contextual problems
Linear Permutations
• definition and terminology related to permutations
• permuting a part of a set
• permutations with repetitions
Combinations
• definition and terminology related to combinations
The Algebra of Factorial Notation
• simplifying algebraic expressions involving perms and combs
• solving algebraic equations involving perms and combs
LTCHS M30-2 Course Outline
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3. Probability
8 classes
Odds and Probability
• interpret and assess odds and probability
• odds versus probability
• solve a problem involving odds or probability
• probability with permutations & combinations
Mutually Exclusive Events
• classify events as mutually exclusive and non-mutually exclusive
• use graphic organizers or set notation to represent mutually exclusive and nonmutually exclusive events
• solve contextual word problems
Independent and Dependent Events
• determine the probability of two events
• solve contextual word problems
4. Rational
Expressions
14 classes
Equivalent forms of Rational Expressions
• non-permissible values
• simplify rational expressions
Operations on Rational Expressions
• sum, difference, product and quotient
• simplify expressions after an operation has been performed
Rational Equations
• solving rational equations
• determine extraneous roots
• solve a contextual problem with rational equations
5. Polynomial
Functions and
Equations
8 classes
Polynomial Functions
• definitions, terminology and properties related to polynomial functions
• analyzing graphs of polynomial functions
• describe the characteristics of polynomial functions using its equation
• match equations to their graphs
• graph polynomial functions and relate functions
• solve contextual problems
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6. Exponents
and
Logarithms
15 classes
7. Trigonometry
8 classes
Puzzles & Games
Incorporate
throughout
Exponential Equations
• solving by common bases
• solving non-common bases
• application problems – loans, mortgages, investments
The Logarithmic Function and Exponential Functions
• definition and terminology related to logarithmic & exponential functions
• describe characteristics of an exponential and logarithmic function
• interpret the graph of an exponential or logarithmic function
• the laws of logarithms
• solve exponential and logarithmic equations
• change of base law
• applications and problem solving
Graphing Trig Functions
• describe the characteristics of a sinusoidal function by analyzing its graph
• describing the characteristics of a sinusoidal function by analyzing its equation
• match equations to their graphs
• graph data and determine the best sinusoidal function to approximate it
• interpret a graph
• solve related problems
Analyze Puzzles and Games
• numerical reasoning and problem solving strategies
• determine, explain and verify strategies to solve a puzzle:
• guess and check
• look for patterns
• make a systematic list
• eliminate possibilities
• work backwards
• create a variation on a puzzle or a game
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