Learning Outcomes:

Operations with Real Numbers
It is expected that learners should be able to:
write fractions as decimals and repeating decimals as fractions;add, subtract, multiply and divide rational numbers;evaluate powers with rational bases and integer exponents; demonstrate the order of operations with rational numbers; evaluate radicals with rational radicands and distinguish between exact answers and approximate answers; andsimplify, add, subtract, multiply and divide square roots.
First Degree Equations and Inequalities
It is expected that learners should be able to:
solve first degree equations, in one variable, including those involving parentheses;solve formulas for a given variable when other variables are known; solve formulas for a given variable;solve first degree inequalities in one variable; andsolve practical problems that can be solved using a first degree equation.
Polynomials
It is expected that learners should be able to:
distinguish between monomials, binomials, trinomials and other polynomials (in one variable only);apply the laws of exponents to variable expressions with integral exponents;evaluate polynomials by substitution;add, subtract, and multiply polynomials;factor polynomials by removing the largest common factor;factor binomials of the form a2x2 – b2y2 and trinomials of the form x2 + bx + c;solve quadratic equations using the law of zero products; and(optional) factor trinomials of the form ax2 + bx + c.
Rational Expressions
It is expected that learners should be able to:
simplify, by factoring, rational expressions consisting of polynomial numerators and either monomial, binomial, or trinomial denominators;determine values for which a rational expression is undefined;multiply and divide rational expressions;add and subtract rational expressions consisting of monomial and/or binomial denominators; andsolve simple rational equations and check solutions.
Linear Equations
It is expected that learners should be able to:
graph a linear equation including the forms x = a and y = b;given a linear equation or its graph, determine its:
 slope
 x and yintercepts
determine the equation of a line, y = mx + b, given:
 its graph
 its slope and a point on the line
 two points on the line
Systems of Linear Equations
It is expected that learners should be able to:
solve a system of first degree equations in two unknowns by graphing, substitution, and elimination methods; and
solve practical problems that can be solved using a system of equations.
Radical Expressions
It is expected that learners should be able to:
simplify square roots with variable radicands;add, subtract, multiply and divide square roots with variable radicands; andsolve equations with one square root containing a polynomial radicand and check for extraneous solutions.
Trigonometry
It is expected that learners should be able to
solve right triangles using one or more of the following: the sine ratio
 the cosine ratio
 the tangent ratio
 the Pythagorean Theorem
 the angle sum property of triangles
evaluate sine and cosine for angles from 0º to 180º (optional); and solve triangles using the Law of Cosines or the Law of Sines, excluding the Ambiguous Case (optional).
Optional Learning Outcomes
Students must complete one of the following four optional topics:
The Quadratic Equation
It is expected that learners should be able to:
solve quadratic equations by factoring;solve equations of the form x2 + bx + c = 0 by completing the square;solve quadratic equations by using the quadratic formula; graph y = ax2 + bx + c and determine its
 x and yintercepts
 vertex
solve practical problems that can be solved using a quadratic equation.
Statistics
It is expected that learners should be able to:
determine the mean, median, mode, range and standard deviation of a set of data;represent data graphically using broken line graphs and bar graphs; understand how the normal curve can be used to describe a normally distributed population;calculate zscores and determine areas under the normal curve; anduse areas under the normal curve to analyze data in terms of the probability of various events.
Financial Mathematics
It is expected that learners should be able to:
solve simple interest problems using the formula, i = prt (for any variable);solve compound interest problems for A or P using ;find the effective interest rate using;solve annuity problems using (for A or P only);find periodic payment using ;determine the finance charge on a loan; anddetermine the interest rate on a loan using tables or appropriate technology.
Geometry
It is expected that learners should be able to:
classify triangles according to angles and sides;use the properties of triangles to determine the measure of sides and angles;determine the measure and/or congruence of angles given a transversal and two parallel lines; anduse the triangle congruence theorems in simple guided proofs.
