Prince Edward Island

FM Financial Mathematics

• FM.1 Develop number sense in financial applications.

  • FM.1.1 Solve problems that involve compound interest in financial decision making.

    • Compound interest: word problems (12-G.12)
    • Continuously compounded interest: word problems (12-G.13)

  • FM.1.2 Analyze costs and benefits of renting, leasing and buying.

  • FM.1.3 Analyze an investment portfolio in terms of:

    • FM.1.3.1 interest rate

    • FM.1.3.2 rate of return

    • FM.1.3.3 total return.

LR Logical Reasoning

• LR.1 Develop logical reasoning.

  • LR.1.1 Analyze puzzles and games that involve numerical and logical reasoning, using problem-solving strategies.

    • Write the probability distribution for a game of chance (12-Z.7)
    • Expected values for a game of chance (12-Z.8)
    • Choose the better bet (12-Z.9)

  • LR.1.2 Solve problems that involve the application of set theory.

  • LR.1.3 Solve problems that involve conditional statements.

    • Identify hypotheses and conclusions (12-X.1)
    • Counterexamples (12-X.2)
    • Conditionals (12-X.3)
    • Negations (12-X.4)
    • Converses, inverses and contrapositives (12-X.5)
    • Biconditionals (12-X.6)

P Probability

• P.1 Develop critical thinking skills related to uncertainty.

  • P.1.1 Interpret and assess the validity of odds and probability statements.

    • Introduction to probability (12-Y.1)
    • Calculate probabilities of events (12-Y.2)

  • P.1.2 Solve problems that involve the probability of mutually exclusive and non–mutually exclusive events.

    • Calculate probabilities of events (12-Y.2)
    • Find probabilities using two-way frequency tables (12-Y.5)
    • Identify independent events (12-Y.6)
    • Find probabilities using the addition rule (12-Y.10)

  • P.1.3 Solve problems that involve the probability of two events.

    • Find probabilities using combinations and permutations (12-Y.4)
    • Find probabilities using two-way frequency tables (12-Y.5)
    • Identify independent events (12-Y.6)
    • Find conditional probabilities (12-Y.7)
    • Independence and conditional probability (12-Y.8)
    • Find conditional probabilities using two-way frequency tables (12-Y.9)
    • Find probabilities using the addition rule (12-Y.10)

  • P.1.4 Solve problems that involve the fundamental counting principle.

    • Counting principle (11-Y.4)

  • P.1.5 Solve problems that involve permutations.

    • Combinations and permutations (12-Y.3)
    • Find probabilities using combinations and permutations (12-Y.4)

  • P.1.6 Solve problems that involve combinations.

    • Combinations and permutations (12-Y.3)
    • Find probabilities using combinations and permutations (12-Y.4)

R Relations and Functions

• R.1 Develop algebraic and graphical reasoning through the study of relations.

  • R.1.1 Represent data, using polynomial functions (of degree less than or equal to 3), to solve problems.

    • Find the slope of a linear function (12-A.3)
    • Graph a linear function (12-A.4)
    • Write the equation of a linear function (12-A.5)
    • Linear functions over unit intervals (12-A.6)
    • Characteristics of quadratic functions (12-C.1)
    • Find the maximum or minimum value of a quadratic function (12-C.2)
    • Graph a quadratic function (12-C.3)
    • Match quadratic functions and graphs (12-C.4)
    • Match polynomials and graphs (12-D.9)

  • R.1.2 Represent data, using exponential and logarithmic functions, to solve problems.

    • Domain and range of exponential and logarithmic functions (12-G.1)
    • Evaluate exponential functions (12-G.2)
    • Match exponential functions and graphs (12-G.3)
    • Identify linear and exponential functions (12-G.8)
    • Exponential functions over unit intervals (12-G.9)
    • Describe linear and exponential growth and decay (12-G.10)
    • Exponential growth and decay: word problems (12-G.11)
    • Compound interest: word problems (12-G.12)
    • Continuously compounded interest: word problems (12-G.13)

  • R.1.3 Represent data, using sinusoidal functions, to solve problems.

    • Find properties of sine functions (12-O.1)
    • Write equations of sine functions from graphs (12-O.2)
    • Write equations of sine functions using properties (12-O.3)
    • Graph sine functions (12-O.4)
    • Find properties of cosine functions (12-O.5)
    • Write equations of cosine functions from graphs (12-O.6)
    • Write equations of cosine functions using properties (12-O.7)
    • Graph cosine functions (12-O.8)
    • Graph sine and cosine functions (12-O.9)

MRP Mathematics Research Project

• MRP.1 Develop an appreciation of the role of mathematics in society.

  • MRP.1.1 Research and give a presentation on a current event or an area of interest that involves mathematics.