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 = 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