1. Kim Moore, Program Manager Dr. Tonya Jeffery, Co-PI

2. Welcome Overview of Meeting Math Activity Planning

3. ENGAGE Discuss: What do you know about this shape ?

4. ENGAGE Can be found in art and architecture Equilateral triangles

5. ENGAGE This is an example of a Rep-4-tile Reptile What is a reptile?  A polygon that can be dissected into smaller copies of itself is called a rep- n-tile, a replicating tile.  What other reptiles can you make using equilateral triangles?

6. EXPLORE  With your group, explore rep-2 tiles, rep-3 tiles and rep-4 tiles.

7. EXPLAIN  What strategies did you use to determine the area and perimeter of each shape?  What relationships did you discover between the smaller and larger shapes?

8.  Can you create a similar figure by putting together nine congruent shapes? ELABORATE

9. Rep-tiles and more Rep-tiles ELABORATE

10. For more Information on Rep-tiles Rep-tile patterns NCTM Illuminations Lesson 6-8 Building Understanding of Similarity Interesting rep-tiles and irrep-tiles ELABORATE

11.  What did you learn today about problem solving?  What did you learn today about teaching problem solving?  How could you use this in your classroom? EVALUATE

13. Final Thoughts and Questions Thank You for Your Time!