📊Math G3 L6.1 🤔Explore B - 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. 

a)

• Fold the paper in half so that you have two rectangle partitions.
• Draw a dotted line for the fold.
• With your crayon, shade one of the partitions.
• Draw a picture of your paper in your journal.

b)

• Fold your paper back in half.
• Fold your paper in half in the opposite direction.
• Draw dotted lines for your fold.

Count the number of partitions.

• There are 4

What is the value of the shaded region?

• There are 2 partitions, so $\frac{2}{4}$

What was the value of the shaded region from part a?

• $\frac{1}{2}$

Has that amount changed?

• No

Is $\frac{2}{4}$the same as $\frac{1}{2}$?

• Yes.  They represent the same area.
• They are equivalent.

Record your paper in your journal.

c)

• Refold your paper.
• Refold the paper in half one more time.
• Draw dotted lines for the folds.

What is the value of the shaded region?

• There are 4 partitions of 8, $\frac{4}{8}$.

Is $\frac{4}{8}$equivalent to $\frac{2}{4}$and $\frac{1}{2}$?

• Yes the shaded region has not changed.

Record your paper in your journal.

Part 2

Play media comment.

A triangular $\frac{1}{2}$ and a rectangular $\frac{1}{2}$ are different shapes, but are equal (if the whole they refer to is the same).

This is the same as $\frac{1}{2}$and $\frac{2}{4}$being equivalent (if they refer to the same whole).

Journal

Record examples of two types of equivalent fractions.

Attach your folded examples into your journal.

Use more pieces of paper to help with the folding.

Here are some other options.

Part 3

Try some other folding.  

Can you work with denominators of 3 and 6?