Learning Outcomes:

Seven core outcomes
Upon successful completion of this course students should be able to:
1 – Basic Algebra.
apply appropriate terminology to classify numbers;calculate prime factorizations and determine the lowest common multiple of a set of numbers; simplify expressions using the rules for the "order of operations" with real numbers; andsolve first degree equations and inequalities, and solve formulae for a given variable.
2 – Rates.
apply the interpretation of rates in a given context;solve rate problems using proportions;solve problems that involve rates and/or unit rates; and,convert units by dimensional analysis.
3 – Linear Relations and Functions.
find the slope of a line both graphically and algebraically;find the equation of a line in both slope/yintercept and standard forms;graph linear relations from a table of values, an equation in slope/yintercept form, and by using intercepts;interpret and apply the slope of a line as an average rate of change;find the domain and range from a given graph;solve problems that involve linear relations; and,determine if a relation is a function and use function notation.
4 – Systems of Linear Equations and Inequalities.
solve systems of first degree linear equations in two variables by graphing, substitution, and/or elimination;solve practical problems involving systems of linear equations;graph linear inequalities in two variables and their solution sets; anduse these graphs to solve optimization problems.
5 – Quadratic and Radical Functions.
factor a GCF, difference of squares, and trinomials in the form ax2 + bx + c;solve quadratic equations by factoring, by completing the square, or by using the quadratic formula;determine the vertex, intercepts, axis of symmetry, and the domain and range given the graph or the quadratic equation;graph quadratic equations and solve basic maximum and minimum problems;multiply, divide, and simplify radical expressions; andsolve applied problems using radical expressions.
6 – Geometry.
apply the concepts involved and solve problems that deal with similar and congruent triangles;classify different types of angles and different types of triangles; anduse deductive and inductive reasoning to solve problems involving parallel lines and transversals.
7 – Trigonometry.
solve problems involving the application of square roots;solve problems involving right triangles, the Pythagorean Theorem, and the basic trigonometric ratios; andsolve problems involving triangles and the law of sines and law of cosines.
Optional outcomes (any three of the following five)
1 – Logical reasoning.
make a conjecture from an observed pattern and find a counterexample to disprove a given conjecture; apply the concepts involved in deductive and inductive reasoning; andprove a conjecture using deductive reasoning.
2 – Statistics.
find the mean, median, mode, range and standard deviation of a set of data;create and interpret graphically displays of data;use the normal curve to describe a normally distributed population; andcalculate and use zscores in a variety of problems.
3 – Measurement.
draw and solve problems involving scale diagrams of both 2D and 3D objects;find area of 2D objects and volume of 3D objects;find the effect of a change in the scale factor on area and volume; anduse proportions to find a missing scale factor dimension.
4 – Financial Mathematics.
solve consumer problems involving discounts and taxes;solve simple and compound interest problems; andsolve problems involving different forms of credit.
5 – The Completion of a Mathematically Based Project. Topics might include:
the creation or variation of a puzzle or mathematical game;the research and reporting on a mathematically historical event or person;the research and reporting on an area of interest in mathematics; or the collection and analysis of data using statistical methods.
