Posted by: degarcia | April 20, 2009

Big Idea: Relations and Functions

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

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