1. MELT: Fraction, Ratio, Proportion and Geometry
Day 2

2. Agenda 8:30 Welcome 8:40 Developing Geometric Thinking Debrief
9:15 Rich Problem
9:45 First Task: Pattern Block Area/Tangram
10:00 Break
10:15 Pattern Block Area/Tangram
10:45 Cognitive Demand of a Task
11:45 Lunch
1: Presentation
2: Second Task: Build Me If You Can
4:30 Dismissal

3. Rich Problem
The house number has three different digits. The sum of the three digits is 12. The number is larger than 480. What could the house number be? List all the possible numbers. Do you think that you found all the possible solutions? Explain why you think so.

4. van Hiele
Levels of Instruction
Mosaic

5. Tangram Area
Construct a tangram

6. Tangram What relationships do you notice between the various shapes?
What else can you construct?

7. Tangram Challenge
Using just the 3 small triangles, try to make a square, a triangle, a rectangle, a trapezoid, and a parallelogram.
Record your solutions on the chart. (You need to add rectangle and parallelogram to the chart. . .sorry)
Can you make the same polygons using the 5 small pieces in the tangram set?
Can you make the same polygons using all 7 pieces?

8. Tangram Area
What value is there is using an activity like this with students?
What mathematical vocabulary are students using as they talk with one another?
What challenges would your students have with this activity?
What will students need to know and be able to do before this activity?
Would you use this activity as it is with your students? What changes might you make?

9. Cognitive Demand
Ms. Alvarado’s class will raise rabbits for their spring science fair. They have 24 feet of fencing with which to build a rectangular rabbit pen to keep the rabbits.
1) If Ms. Alvarado’s students want their rabbits to have as much room as possible, how long would each of the sides of the pen be?
2) How long would each of the sides of the pen be if they had only 16 feet of fencing?
3) How would you go about determining the pen with the most room for any amount of fencing? Organize your work so that someone else who reads it will understand.

10. Cognitive Demand
Martha was recarpeting her bedroom, which was 15 feet long and 10 feet wide. How many square feet of carpeting will she need to purchase?

11. Cognitive Demand

12. Build Me If You Can

13. Homework
Read: Teaching Mathematics to the Preadolescent Brain.