Learning Outcomes:

It is expected that learners will use various problem solving strategies such as:
guess and check;look for a pattern;make a systematic list;draw or model;eliminate possibilities;simplify the original problem;work backward; anddevelop alternative approaches.
Basic Algebra
It is expected that learners should be able to:
use the terms rational, irrational, and integer to classify numbers;use order of operations with real numbers;solve first degree equations and inequalities;solve word problems by translating them into mathematical equations; andsolve simple formulae for a given variable.
Rates
It is expected that learners should be able to:
interpret rates in a given context, such as the arts, business, and health sciences;solve rate problems using proportions;determine unit rates;convert units by dimensional analysis (multiplying by one); andsolve a contextual problem that involves rate or unit rates.
Linear Relations
It is expected that learners should be able to:
write linear equations in slopeintercept form; graph linear equations using a table of values;graph linear equations using the yintercept and slope and using x and yintercepts;given a graph, find the slope of the line;draw a graph to represent a rate;interpret slope as an average rate of change;interpret domain and range from a graph;solve problems that involve linear relations;use function notation; anddetermine whether a relation is a function.
Systems of Linear Equations and Inequalities
It is expected that learners should be able to:
solve a system of first degree equations in two unknowns by graphing, substitution and/or elimination;solve practical problems that can be solved using a system of equations;graph a linear inequality in two variables;graph the solution for a system of linear inequalities in two variables; anduse the graph to solve optimization problems.
Quadratic Functions
It is expected that learners should be able to:
factor (GCF, difference of squares, trinomials of the form ax2 + bc + c with a = 1 only);solve quadratic equations by factoring or using the quadratic formula;identify, from a graph, the vertex, intercepts, domain, range, and axis of symmetry;determine the vertex using the vertex formula;determine whether the ycoordinate of the vertex is a maximum or minimum;graph a quadratic function using the vertex, intercepts, or a table of values; and solve problems that involve the characteristics of a quadratic function.
Geometry
It is expected that learners should be able to:
classify and distinguish among acute, right, obtuse, straight, reflex, complementary; supplementary, and vertically opposite angles;generalize, using inductive reasoning, the angle relationships created when parallel lines are cut by a transversal and the angle sum property of a triangle;use deductive reasoning to determine the measures of angles in a diagram that involve parallel lines, angles and triangles;measure angles with a protractor;classify triangles according to sides and angles;explain the difference between similar and congruent shapes; andsolve problems that involve similar triangles.
Trigonometry
It is expected that learners should be able to:
solve problems involving right triangles, using sine, cosine, or tangent ratios, the angle sum property of triangles and the Pythagorean Theorem;solve triangles using Law of Cosines or Law of Sines, excluding the Ambiguous Case; andsolve contextual problems involving Law of Cosines or Law of Sines.
OPTIONAL LEARNING OUTCOMES
Learners must complete a minimum of three of the following five options:
Financial Math
It is expected that learners should be able to:
solve consumer problems involving percentage (sales tax, discounts, etc.);determine and or compare wages in various situations;solve simple and compound interest problems; and solve problems involving different forms of credit.
Measurement
It is expected that learners should be able to:
draw a scale diagram of a 2D shape;solve problems involving scale diagrams of 2D shapes and 3D objects;use proportions to determine the scale factor or a missing dimension of a 2D shape or 3D object;determine from a scale diagram the area of 2D shapes and the volume of 3D objects; anddetermine the effect of a change in scale factor on area and volume.
Statistics
It is expected that learners should be able to:
determine and interpret the mean, median, mode, range and standard deviation of a set of data;represent data graphically;interpret and analyze graphs and identify bias;understand how the normal curve can be used to describe a normally distributed population;calculate zscores; andsolve problems that involve standard deviation and normal distribution.
Logical Reasoning
It is expected that learners should be able to:
make conjectures by observing patterns;find a counterexample to disprove a given conjecture;determine if a given argument is valid, and justify the reasoning;compare, using examples, inductive and deductive reasoning;prove a conjecture, using deductive reasoning; and use problem solving strategies to solve problems or play games.
E) Project
Possible topics might include the following:
create a variation on a puzzle or a game;research a historical event or person involving math;research an area of interest that involves math; and collect and interpret data, using statistical methods.
