Section 1: Numbers
» Distinguish between integers, rational numbers and real numbers
» Simplify expressions involving integers, fractions and/or real numbers
» Apply basic rules of arithmetic to solve problems (both theoretical and practical in nature) involving integers, fractions and/or real numbers
» Demonstrate use of the four basic inequalities to manipulate and solve simple problems.
Section 2: Linear functions and their graphs
» Identify and plot points in the coordinate plane
» Understand a function as something that takes a number as input and returns another number as output
» Determine the slope and y-intercept of a linear relationship based on its equation
» Plot the graph of a linear function
» Determine the linear function corresponding to a given graph of a line in the coordinate plane
» Solve linear equations in the context of both theoretical and practical problems.
Section 3: Polynomials and their graphs
» Identify a polynomial and determine its basic properties
» Solve problems of a theoretical or practical nature involving quadratics
» Graph polynomials and identify basic properties from their graphs including the location of roots, turning points and points of inflection
» Perform simple manipulation of polynomials with degree greater than two and solve problems involving special cases that can be reduced to solving a quadratic.
Section 4: Functions and graphs
» Understand the concept of a function and be able to identify when a given relation constitutes a valid function
» Understand and be able to identify the domain and range of functions, either from their definition or from a graph
» Be able to identify fundamental properties of a function from its graph (including its sign, where it is increasing or decreasing, etc.)
» Understand the concept of continuity and be able to identify whether a function is continuous
» Be able to construct functions via the sum, multiplication and/or composition of existing functions.
Section 5: Assessment
» There is a timed exam.
