• WORD PROBLEMS
• Represent real situations with mathematical relationships
• use models, tables, graphs, and rules
• use linear equations on concrete models, tables, and graphs
• solve problems involving proportional relationships and units of measurement, e.g. same system of unit conversion, scale models, maps, and speed

• functionS
• Describe the translation and scale changes of a given function f(x) resulting from substitutions for the various parameters a, b, c, and d in y = af (b(x + c/b)) + d

• PROBABILITY AND Statistics
• describe and compare data sets using the concepts of median, mean, mode, maximum and minimum, and range
• use tree deagrams and other models (e.g. lists and tables) to represent possible or actual outcomes of trials. analyse the outcomes
• predict the probability of outcomes of simple experiments (e.g. tossing a coin, rolling a die) and test the predicitons
• use appropriate ratios between 0 and 1 to represent the probability of the outcome and associate the probability with the likelihood of the event

• Geometry (2-d and 3-d)
• identify types of symmetry, including line and rotaional
• find the distance between two points
• find areas of triangles and parallelograms
• develop strategies to dind the area of more complex shapes
• length and area, similarity in geometry (with theorems)
• solve simple triangle problems using the triangle sum property and/or the pythagorean theorem
• find the sum of the angels in simple polygons (up to eight sides) with and without measuring the angels
• identify three-dimentional shapes (e.g., cubes, prisms, spheres, cones, and pyramids) based on their properties, such as edges and faces
• match three-dimentional objects and their two-dimentional representations, e.g., nets, projections, and perspective drawings
• find volumes and surface areas of rectangular prisims

• ANALYTICAL GEOMETRY
• graph points and identify coordinates of points on the cartesian coordinate plane (all four quadrants)
• understand relationships between various representations of a line. determine a line’s slope and x- and y- intercepts from its graph or from a linear ewuation that represents the line.
• find a linear equation describing a line from a graph or a geometric description of the line.
• produce and interpret graphs that represent the relationship between two variables in everyday situations
• identify and describe relationships between two variables with a constant rate of change. contrast these with relationships where the rate of change is not constant

• TRIGONOMETRY
• definintions of  sine and cosine
• sines and cosines for special common angels
• tangent in terms of sine and cosine
• properties of sines and cosines
• graphs of sine and cosine functions
• graphs of tangent functions

• EQUATIONS (with one or more unknowns)
• Solve a variety of equations and inequalities using algebraic, graphical, and numerical methods, including the quadratic formula

• COMPLEX NUMBERS
• DEFINE COMPLEX NUMBERS (E.G., a+bi)
• OPERATIONS WITH COMPLEX NUMBERS, IN PARTICULAR, ADDITION, SUBTRACTION, MULTIPLICATION, AND DIVISION