Mathematics 12

Compound versus simple interest

I can distinguish compound from simple interest and recognize where each applies.

Compound interest in loan and credit decisions

I can compute loan costs and compare credit options using compound interest.

Graphing the effects of compound-interest variables

I can graph how compounding variables change total interest.

Appreciating and depreciating assets

I can distinguish appreciating from depreciating assets and compare acquisition options.

Justifying rent, lease, or buy

I can justify the best acquisition choice and solve a cost-benefit problem.

Analyzing an investment portfolio

I can analyze a portfolio by interest rate, rate of return, and total return.

Long-term and short-term investment strategy

I can weigh long-term against short-term investment options.

Strategies for puzzles and games

I can find and verify a winning strategy for a puzzle or game.

Sets, subsets, and Venn diagrams

I can describe sets and interpret Venn-diagram regions.

Set operations and problem solving

I can compute set operations and solve set-theory problems.

Converting between odds and probability

I can convert between odds and probability.

Assessing probability statements

I can assess the validity of an odds or probability statement.

Independent events

I can compute the probability of two independent events.

Dependent events

I can compute the probability of two dependent events.

Counting with graphic organizers

I can map out counting problems with a graphic organizer.

The fundamental counting principle

I can apply the fundamental counting principle.

Factorial notation and nPr

I can use factorial notation and count permutations of r from n.

Permutations with identical elements

I can count permutations when some elements are identical.

When order matters: combinations vs permutations

I can decide whether a problem calls for a combination or a permutation.

Counting and applying combinations

I can count combinations and apply them to problems.

Polynomial functions from graphs

I can describe polynomial functions from their graphs.

Polynomial functions from equations

I can read a polynomial's behaviour from its equation and match it to a graph.

Fitting a polynomial function to data

I can fit a best-fit polynomial function to a data set.

Interpreting and solving with polynomial models

I can interpret a polynomial model and solve a problem with it.

Exponential and logarithmic functions from graphs

I can describe exponential and logarithmic functions from their graphs.

Exponential and logarithmic functions from equations

I can read an exponential or logarithmic function from its equation and match it to a graph.

Modelling data with exponential and logarithmic functions

I can fit an exponential or logarithmic function to data and solve problems.

Angles and sinusoidal functions from graphs

I can work with radians and describe a sinusoid's graph.

Sinusoidal functions from equations

I can read a sinusoid's amplitude, period, and shifts from its equation.

Modelling cyclic data with sinusoidal functions

I can fit a sinusoidal function to cyclic data and solve problems.