How might you accomplish this? Your first task: Make one fold and one cut to create the largest possible square. How might you accomplish this? Share your thoughts with your partner.

Take the large triangle. Without making a crease, match the acute corners together, then Pinch the middle of the segment as shown. Pinch!! Re-Open the triangle.

Your Pinch!! Draw a dot where you pinched. What might be the name of this point you creased? Turn the triangle so that the right angle is on the top and the pinch is on the bottom.

Open the triangle and cut on the fold. Fold the top vertex to touch the pinched vertex . Open the triangle and cut on the fold. What shapes are formed?

Look at the triangle you cut off to make the trapezoid. What is the relationship between the areas of this triangle and the other triangles you created?

Fold the trapezoid in half. Re-Open the trapezoid. What is the relationship of the fold to the bases of the trapezoid?. Cut on the fold. What shapes did you create?

Fold one trapezoid to make a square and a triangle. Cut on the fold. How do the areas of these two shapes (square and triangle) relate to each other?

Fold the remaining trapezoid to make a parallelogram and a triangle. What is the relationship of the areas of the parallelogram and the triangle?

You have one final challenge. If the area of the original square is 1, what is the area of each of these pieces you just created? You have one final challenge.

Put the pieces back into the original square. On each piece, Write the area that piece would be if the entire square has and area of 1. Nicely done!.