11-15-2012 Function, Function, What's your Function?

TECHING THE CCCS

MATHEMATICS STANDARDS

GRADES 6-8

MATH GRADE 8: FUNCTIONS

FUNCTIONS
By the end of Grade 8	Students grasp the concept of a function as a rule that assigns to each input exactly one output. They understand that functions describe situations where one quantity determines another. They can translate among representations and partial representations of functions (noting that tabular and graphical representations may be partial representations), and they describe how aspects of the function are reflected in the different representations.
Define, evaluate, and compare functions.			RESOURCES
	8F.A.1	Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.	Algebra Puzzle Algebraic Reasoning Algebra vs The Cockroaches  Equation Match  Explore Families of Functions Function Machine Late Delivery Linear Function Machine Mystery Operations Number Cruncher Patterns & Functions Positive Linear Function Machine Solve Equations Spy Guys Interactive - Balancing Equations Teacher Dodgeball  Whole Number Cruncher
	8F.A.2	Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a linear function represented by a table of values and a linear function represented by an algebraic expression, determine which function has the greater rate of change.
	8F.A.3	Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear. For example, the function A = s2 giving the area of a square as a function of its side length is not linear because its graph contains the points (1,1), (2,4) and (3,9), which are not on a straight line.
Use functions to model relationships between quantities.			RESOURCES
	8F.A.4	Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.	Virtual Manipulatives: Algebra Save Our Dumb Planet Linear Equation Problem Solver  Practice Lessons Practice with Solving Inequalities Equation of a Line: Slope-Intercept Form Find the graph that best matches the linear equation Linear Equation Test Linear function  Linear function and Graph Linear Functions Part A: Basics: Slope and Intercept Part B: Finding the Equation of a Line  Graphing linear equations Linear Equation Solver Linear Equation Solvers  The Linear Equations Solver Applet Linear Equation Solver Linear Equation Solver Rags to Riches Game Solving Equations with Variables on Both Sides  Writing Equation of a Line Linear functions: Rate of Change of linear Functions Grand Slam Math Late Delivery Math at the Mall Math in Daily Life: How do numbers affect everyday decisions? Thinking Blocks  Word Problems with Katie
	8F.A.5	Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally.