Posted by: pjhutton | July 1, 2009

My Definitions for Equations and Functions

An equation is a number sentence that represents two equal quantities . An equation can use numbers and letters called variables.

                                                                                                balance

1 + 6 = 7   (true equation)                            

Y – 4 = 10 ( open equation)

12 + 4 = 21 (false equation)

 

A function is a statement where one specific input, X , is matched with one specific output, Y. The results can form a pattern. Think of this like a machine where you take one quantity, perform a math operation, and get another quantity.

For example:

X + 4 = Y

 

X

Y

2

6

3

7

4

8

                                                                                                                     grinder

 

Can you figure out the equation?

X

Y

2

4

4

8

6

12

8

16

10

20

 

References:

image of scale from tulanelink.com

image of grinder from mincer.en.alibaba.com


Responses

  1. Pat,

    I like your examples of equations. Students need to have a broad definition of what are and what are not equations. You could have them come up with examples and non-examples of equations in their journal so they can see the difference between equations, expressions, and functions.

    Keisha


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