📊Math G3 L6.1 🤔Explore A - Paper Folding and Sharing

For this lesson you will need 3 x 3 inch pieces of paper (or any larger size square papers or sticky notes), crayons or markers, and your math journal.

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Part 1

Take one of your square pieces of paper. 

• Fold it into two equal partitions.  
• Unfold and mark a dotted line along the fold
• Mark each partition as $\frac{1}{2}$

Is there a difference between the first  and the second?

• yes, the first made triangles and the second rectangles.

Are the $\frac{1}{2}$partitions on these papers the same?

• No

Do the $\frac{1}{2}$partitions on the different papers have the same area?  Are they equal in size?

• Yes, the wholes were identical before folding.  Each paper was folded exactly in half.

Part 2

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Take one of your square pieces of paper. 

• Fold it into four equal partitions.  
• Unfold and mark a dotted line along the fold
• Mark each partition as $\frac{1}{4}$

Did you fold your paper, but upon opening it, discover that the partitions were not equal?

Does your paper look like one of these?

Are all of these the same?

• No, the partitions are different shapes.
• Do the $\frac{1}{4}$ partitions on the different papers have the same area?  Are they equal in size?
• Yes, the partitions have the same areas. The wholes were identical before folding.  Each paper was folded exactly in four partitions.

Part 3

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Take one of your square pieces of paper. 

• Fold it into eight equal partitions.  
• Unfold and mark a dotted line along the fold
• Mark each partition as $\frac{1}{8}$

Does your paper look like any of these?

Are these partitions the same?

• No.  The shapes formed are not the same in each.

Do these partitions have the same area? Are these partitions the same size?

• Yes.  They each show $\frac{1}{8}$of the whole. 
• Yes, Even though the partitions have different shapes, they are equal in size.  The area of partition is the same.  All of the wholes were the same size before the folding.

Part 4

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Thirteen Ways of Looking at a Half Links to an external site.  (click the link)