Directions: Using any number between 1 and 9, fill in the boxes to create a true statement. You may only use a number once.

# Number Sense

# Thinking of Powers…

If you could only use the numbers 1 to 9, each only once, could you fill in the boxes to make the figure true?

If not, explain why it doesn’t work. Where exactly in the table do you have problems? What is the smallest number of adjustments needed to make the table work?

# Rational Exponents- Open Middle Problem

Directions: Using any number between 1 and 9, fill in the boxes to create a true statement. You may only use a number once.

# Complex Number Operations- Open Middle Problem

Directions: Using the digits 1 to 9, fill in the boxes to make the equality true. You can use each digit only once.

How does changing the signs between the Complex Numbers change the problem?

How does changing the signs between the Real and Imaginary parts of the Complex Number change the problem?

# Properties of Powers- Open Middle Problem

Directions: Using the digits 1 to 9, fill in the boxes to make the equality true. You can only use each digit once.

Can you write this expression in another way?

What is this defining?

# Matrix Multiplication- Open Middle Problem

Directions: Using the digits 1-9, each only once, fill in the blanks to create the smallest possible value for * a*.

How would you change your numbers to create the smallest value for ** b**?

Create matrices such that * a* and

*are of equal value (if you can’t generate equal values, how close can they get?)*

**b**# Creating Zero- Open Middle Problem

Using the numbers 1 to 9 at most once each time, fill in the blanks to make the equality true:

( ___ + ___ – ___ + ___ ) – ( ___ + ___ – ___ + ___ ) = 0