BIG IDEA #12

RELATIONS & FUNCTIONS: Mathematical rules (relations) can be used to assign members of

one set to members of another set. A special rule (function) assigns each member of one set

to a unique member of the other set.

Examples of Mathematical Understandings:

• Mathematical relationships can be represented and analyzed using words, tables, graphs, and equations.

• In mathematical relationships, the value for one quantity depends on the value of the other quantity.

• The nature of the quantities in a relationship determines what values of the input and output quantities are reasonable.

• The graph of a relationship can be analyzed with regard to the change in one quantity relative to the change in the

other quantity.

• The graph of a relation can be analyzed to determine if the relation is a function.

• In a linear function of the form y = ax, a is the constant of variation and it represents the rate of change of y with

respect to x.

• The solutions to a linear function form a straight line when graphed.

• A horizontal line has a slope of 0, and a vertical line does not have a slope.

• The parameters in an equation representing a function affect the graph of the function in predictable ways.

Web Links:

http://www.purplemath.com/modules/fcns.htm

http://www.mathwarehouse.com/algebra/relation/math-function.php

http://en.wikipedia.org/wiki/Function_(mathematics)

http://www.nointrigue.com/docs/notes/maths/maths_relfn.pdf

Standard 2

Students will use patterns, relations, and algebraic expressions to represent and analyze mathematical problems and number relationships.

Objective 1

Analyze algebraic expressions, tables, and graphs to determine patterns, relations, and rules.

Describe simple relationships by creating and analyzing tables, equations, and expressions.

Draw a graph and write an equation from a table of values.

Draw a graph and create a table of values from an equation.

Activity:

http://illuminations.nctm.org/LessonDetail.aspx?ID=L293