Math 2.0 March 14: Piaget games

1. Length 

Two strings of same length. Lined up, which is longer?

Shift one, which is longer? 

Make one curved, which is longer?

Travis added dots at each inch. Line them up and then 

2. Volume 

Play dough. Asked children to make two of equal amount 

Students tried rolling and flattening them.

Then they used cookie cutter to measure  equal amounts.

Rolled them into a ball and all agreed these are equal amounts 

Then flattened one. All agreed flat one was bigger.

Then rolled them back again and they look the same.

Repeat squishing experiment 

Still all agree flat one is bigger. 

3. Area 

Travis has a hungry horse and three patches of grass.

Arrange patches touching and one town has them separate. 

Are these the same?

Now if the farmer splits up the patches

Which farmer has more grass for the horse?

Now count the patches.

3. Counting paths

If a b and c are cities, if 4 roads go from a-> b and 3 roads from b->c, how many roads go from a->c

4. Distance - maximal and minimal
The distance from my home to the nearest ice cream store is 8 blocks. The distance from my home to school is 6 blocks. What could be a maximal distance from my school to the ice cream store? What could be a minimal distance?

5. 3 and 5 cent stamps
Suppose you have an unlimited number of 3 and 5 cent stamps.
Prove that you can make any amount of postage 8 cents or more.

6. Experiment - oil and water