Monday, November 18, 2013

Equivalent Fractions

MCC4.NF.1 Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions.

How can we find equivalent fractions? 

* Using number lines
Video demonstrating how to use number lines to find equivalent fractions. 

*Using visual Models 
Find an equivalent fraction to 1/4.
The denominator (4) tells you how many pieces to circle in each group.
The numerator (1) tells you how many pieces to shade in each group.
In the shape below, you would circle groups of 4. This will give you 4 groups. You will then shade 1 out of each group. You will have a total of 3 shaded, because you have three groups. That makes your equivalent fraction 3/12.

* Multiplying across 
Equivalent Fractions MUST be Fair!!! 
Whatever you do to the numerator, you must do to the denominator. 

3  =   9
4        ?
You multiply 3 by 3 to get 9. Since you multiplied the numerator by 3, you must multiply the denominator by 3 as well. 4 x 3 = 12. So the new denominator will be 12. Your equivalent fractions are 3/4 and 9/12. 

*Check your work by cross multiplying.
Studyjams video on equivalent fractions
Triplets game from Math playground
Matching equivalent fractions
Fraction game
Equivalent Fractions Quiz
Creating Equivalent Fractions
Fraction dolphin game 

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