Saturday, 29 October 2011

::Algebra = Functions::

Functions enables the children to:-
  • Recognize and identify how things change in relation to each other.
  • Describe the change in pictures or words,etc
  • Describe the rules that show how things are related
Teachers can teach children about functions by using the 'Function Machine'. Let us see how this machine operates...


Input = small green circle / Output = big green triangle


  
Input = small yellow circle / Output = big yellow triangle





Can you identify the input in Figure 1.3 and the output in Figure 1.4?
Now, let's see how this 'Function Machine' operates using numbers....


Can you identify the missing numbers?
(Answer: The output for number 8 is 17 while the input for number 7 is 3

How can you get the answer?

Basically, the relation between the numbers is ( 'input' x 2) + 1. For example, if the input is 2; (2 x 2) + 1 = 5, so, the output is 5.
   

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