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Obelus
Obelus
Obelus

Station  P
Wild Exploration 

Here‘s a wild exploration you might want to explore, or just think about, perhaps using the app to help you out. This is a “big question” idea that might be fun to mull on.

Question 1

EXPLORATION: LEFT TO RIGHT? RIGHT TO LEFT? ANY ORDER?

When asked to compute 2552÷122552 \div 12, Kaleb drew this picture, which he got from identifying groups of twelve working right to left.

I5SP-image147

He said the answer to 2552÷122552 \div 12 is 121121 with a remainder of 11001100.

Mabel, on the other hand, identified groups of twelve from left to right in her diagram for the problem.

I5SP-image150

She concluded that 2552÷122552 \div 12 is 211211 with a remainder of 2020.

Both Kaleb and Mabel are mathematically correct, but their teacher pointed out that most people would expect an answer with smaller remainders: both 11001100 and 2020 would likely be considered strange remainders for a problem about division by twelve. She also showed Kaleb and Mabel the answer to the problem that is printed in the textbook.

2552÷12=212R82552 \div 12 = 212 R 8

How could Kaleb and Mabel each continue work on their diagrams to have this textbook answer appear?

Explore!

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