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## The Grant Wiggins Math Concepts Challenge ...

Question 1: "You can't divide by zero". Explain why not.To the best of your understanding, explain why you can't divide by zero, even though you can multiply by zero.

Question 2 - Equivalence

"Solving problems typically requires finding equivalent statements that simplify the problem." Explain.

Question 3: Invert and Multiply

You are told to “invert and multiply” to solve division problems with fractions. To the best of your understanding, explain why this works and when it works; include any situations for which this instruction doesn't work.

Question 4: Organized list of numbers

Place the given numbers in order from largest to smallest and predict the errors that some of your classmates might make.

Question 5: Multiplication is Just repeated Addition.

Explain why this statement is false, giving examples.

Question 6: Catering the Party.

How many tables will be needed?

Question 7: Most teachers use the mean to assign a grade, but this measure hides information. What information is hidden and what, if anything, should we do about it?

Question 8: Conversion Equations

Create the equations that a website or a calculator might use.

Question 9: Imaginary Numbers

Why were imaginary numbers invented?

Question 10: Conventions

What is the difference between a convention (such as PEMDAS) and a law (such as the distributive property)?

Question 11: Precision and Accuracy.

What's the difference?

Question 12: Undefined Terms in Geometry.

If we can draw them, why can't we define them?

Question 13: Axioms.

What are they and why can we use them?

Question 14: Point Nines

It's that old chestnut: 0.9999999999999 ... 1?

Question 15: Negative times a negative is ... ?

Why do we say that?

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