Area Fractions

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Why I like this problem: This problem can be solved in many different ways, which makes it accessible to all types of learners. 

Observations from class: My class found at least 7 different ways to solve this. Some used algebra, others took out scissors and still some others decided to measure and calculate the area to approximate the fraction. 

 
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Follow-up questions I asked: 

1. Are there any other ways you could prove that your answer is correct?
2. For those who know algebra, can you prove it algebraically?
3. How can you explain your answer to a visual person?

Required skills / content: Basic understanding of fractions and geometry.

Links: PDF / Google Doc

Source: http://donsteward.blogspot.com/