3. You should have 10 strips of paper—5 of the same color.
TOP
TOP
You should have 10 strips of paper—5 of the same color.
Fold one corner of the paper so that the top of the paper lines up along one side.
Trace across the bottom of the folded section.

4. Unfold the top. Cut off the rectangle along your tracing.
Repeat this process 3 more times (until the end of the strip). If you folded and cut accurately, there should be a short strip remaining.

5. You should have 20 squares of each color.
Carefully cut each square on the folded diagonal.

6. You should have 80 triangles in 2 colors.
Each strip will make 8 congruent triangles.
You should have 80 triangles in 2 colors.

7. Just put the others aside…
For this introductory challenge, you will use 2 triangles, one of each color.
Just put the others aside…

8. Your task: Create unique shapes using 2 triangles.
Rules:
Sides must be the same size.
Sides must match exactly.
Glue your shapes to a note card.

9. How can you check to see if a shape is a new, unique shape?
Shape check:
Name each shape.
How can you check to see if a shape is a new, unique shape?

11. Your task: Create unique shapes using 4 triangles.
Same rules:
Sides must be the same size.
Sides must match exactly.
Glue your shapes to a note card.

13. How many TRIANGLES can be made with these 4 triangles?

14. How many QUADRILATERALS can be made with these 4 triangles?

15. How many PENTAGONS can be made with these 4 triangles?

16. How many HEXAGONS can be made with these 4 triangles?

18. Each partner selects a different shape made of 4 triangles.
Same Different
Make two columns: “Same” and “Different.”
Describe how the polygons are the same and different in as many ways as possible.

20. You will need 4 triangles (2 of each color).
You will also need the TRIANGLE you made using 4 triangles.

21. pattern on your TRIANGLE.
Describe the color
pattern on your TRIANGLE.
How many different color patterns did our class create?
Are there any color patterns that we missed?
How do we know when we have found all the color patterns?

24. Without looking at your triangle shapes, which of these do you think will have the greatest perimeter?
The triangle
One of the quadrilaterals
One of the pentagons
One of the hexagons

25. Sort your shapes by common perimeters.
If the longest side of each triangle measures 6 units and the shorter sides measure 4 units, determine the perimeter of each shape.
Sort your shapes by common perimeters.

26. Which shapes have the smallest perimeters?
What is the perimeter?

27. Which shapes have the greatest perimeters?
What is the perimeter? 32

28. What is the perimeter of these shapes?28

29. How can shapes with congruent areas have non-congruent perimeters?
Deep Thoughts…
How can shapes with congruent areas have non-congruent perimeters? 32

30. And one more deep thought…
If the area of this shape is 1 sq. unit, what is the area of one triangle?

31. Deep Thoughts…
If the area of each triangle is 8 sq. units, what is the area of this shape?

32. And one more deep thought…
If the area of this shape is 12 sq. units, what is the area shaded blue?

33. The Closer…
Another Deep Thought
If the combined area of the two blue triangles is 13 sq. units, what is the area of this shape?