**MATH PROGRAM grade 6**

**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 = a*f*(b(x + c/b)) + d

- Describe the translation and scale changes of a given function

**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+b
*i*) - OPERATIONS WITH COMPLEX NUMBERS, IN PARTICULAR, ADDITION, SUBTRACTION, MULTIPLICATION, AND DIVISION

- DEFINE COMPLEX NUMBERS (E.G., a+b