Math Tic-Tac-Toe Standard tic-tac-toe board. The active team chooses a square; the question is...

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Transcript of Math Tic-Tac-Toe Standard tic-tac-toe board. The active team chooses a square; the question is...

Page 1: Math Tic-Tac-Toe Standard tic-tac-toe board. The active team chooses a square; the question is revealed The active team has 15 seconds to decide to keep.
Page 2: Math Tic-Tac-Toe Standard tic-tac-toe board. The active team chooses a square; the question is revealed The active team has 15 seconds to decide to keep.

Math Tic-Tac-Toe

• Standard tic-tac-toe board.• The active team chooses a square; the question is

revealed• The active team has 15 seconds to decide to keep it, or

give it to the other team.– If they keep it, they have 1 minute to solve it.– If they give it to the other team, the other team has 90

seconds to solve it.• If you answer correctly, you gain control of that square.• If you answer incorrectly, the other team gains control

of that square.

Page 3: Math Tic-Tac-Toe Standard tic-tac-toe board. The active team chooses a square; the question is revealed The active team has 15 seconds to decide to keep.

O

Initialize

O O

O O O

O O O

X X X

X X X

X X X

? ? ?

?

??

??

?

Page 4: Math Tic-Tac-Toe Standard tic-tac-toe board. The active team chooses a square; the question is revealed The active team has 15 seconds to decide to keep.
Page 5: Math Tic-Tac-Toe Standard tic-tac-toe board. The active team chooses a square; the question is revealed The active team has 15 seconds to decide to keep.

What is the remainder when is divided by ?

The question is…

Return

Page 6: Math Tic-Tac-Toe Standard tic-tac-toe board. The active team chooses a square; the question is revealed The active team has 15 seconds to decide to keep.

What is the remainder when is divided by ?

The question is…

Remainder upon division is the same as equivalence in a modulus: :

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Page 7: Math Tic-Tac-Toe Standard tic-tac-toe board. The active team chooses a square; the question is revealed The active team has 15 seconds to decide to keep.
Page 8: Math Tic-Tac-Toe Standard tic-tac-toe board. The active team chooses a square; the question is revealed The active team has 15 seconds to decide to keep.

What is the negation of the statement “There is a professor in every club meeting of some clubs at UCA”?

The question is…

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Page 9: Math Tic-Tac-Toe Standard tic-tac-toe board. The active team chooses a square; the question is revealed The active team has 15 seconds to decide to keep.

What is the negation of the statement “There is a professor in every club meeting of some clubs at UCA”?

The question is…

“Every club has a meeting in which there is no professor”

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Page 10: Math Tic-Tac-Toe Standard tic-tac-toe board. The active team chooses a square; the question is revealed The active team has 15 seconds to decide to keep.
Page 11: Math Tic-Tac-Toe Standard tic-tac-toe board. The active team chooses a square; the question is revealed The active team has 15 seconds to decide to keep.

What is the derivative of ?

The question is…

Return

Page 12: Math Tic-Tac-Toe Standard tic-tac-toe board. The active team chooses a square; the question is revealed The active team has 15 seconds to decide to keep.

What is the derivative of ?

The question is…

𝑑𝑑𝑥

𝑒𝑥2=𝑑𝑑𝑥

𝑒 (𝑥2 )=𝑒𝑥2⋅2 𝑥

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Page 13: Math Tic-Tac-Toe Standard tic-tac-toe board. The active team chooses a square; the question is revealed The active team has 15 seconds to decide to keep.
Page 14: Math Tic-Tac-Toe Standard tic-tac-toe board. The active team chooses a square; the question is revealed The active team has 15 seconds to decide to keep.

How many positive integer factors does 1000 have?

The question is…

Return

Page 15: Math Tic-Tac-Toe Standard tic-tac-toe board. The active team chooses a square; the question is revealed The active team has 15 seconds to decide to keep.

How many positive integer factors does 1000 have?

The question is…

Return

Page 16: Math Tic-Tac-Toe Standard tic-tac-toe board. The active team chooses a square; the question is revealed The active team has 15 seconds to decide to keep.
Page 17: Math Tic-Tac-Toe Standard tic-tac-toe board. The active team chooses a square; the question is revealed The active team has 15 seconds to decide to keep.

Using 3 matches, without breaking or bending them, make a mathematical

expression that is more than 3 but less than 4.

The question is…

Return

Page 18: Math Tic-Tac-Toe Standard tic-tac-toe board. The active team chooses a square; the question is revealed The active team has 15 seconds to decide to keep.

Using 3 matches, without breaking or bending them, make a mathematical

expression that is more than 3 but less than 4.

The question is…

Return

Page 19: Math Tic-Tac-Toe Standard tic-tac-toe board. The active team chooses a square; the question is revealed The active team has 15 seconds to decide to keep.
Page 20: Math Tic-Tac-Toe Standard tic-tac-toe board. The active team chooses a square; the question is revealed The active team has 15 seconds to decide to keep.

You are given a 3 gallon jug, a 5 gallon jug, and a pond. How can you measure

out exactly 4 gallons of pond water?

The question is…

Return

Page 21: Math Tic-Tac-Toe Standard tic-tac-toe board. The active team chooses a square; the question is revealed The active team has 15 seconds to decide to keep.

You are given a 3 gallon jug, a 5 gallon jug, and a pond. How can you measure

out exactly 4 gallons of pond water?

The question is…

1) Fill the 3 gallon jug.2) Fill the 5 gallon jug.

3) Top off the 3 gallon jug from the 5 gallon jug.

Return

Page 22: Math Tic-Tac-Toe Standard tic-tac-toe board. The active team chooses a square; the question is revealed The active team has 15 seconds to decide to keep.
Page 23: Math Tic-Tac-Toe Standard tic-tac-toe board. The active team chooses a square; the question is revealed The active team has 15 seconds to decide to keep.

Find

The question is…

Return

Page 24: Math Tic-Tac-Toe Standard tic-tac-toe board. The active team chooses a square; the question is revealed The active team has 15 seconds to decide to keep.

Find

The question is…

1+ 13+ 19+ 127

+⋯=∑𝑖=0

∞13𝑖

= 1

1−13

=32

Return

Page 25: Math Tic-Tac-Toe Standard tic-tac-toe board. The active team chooses a square; the question is revealed The active team has 15 seconds to decide to keep.
Page 26: Math Tic-Tac-Toe Standard tic-tac-toe board. The active team chooses a square; the question is revealed The active team has 15 seconds to decide to keep.

is a function of . Solve for in:

The question is…

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Page 27: Math Tic-Tac-Toe Standard tic-tac-toe board. The active team chooses a square; the question is revealed The active team has 15 seconds to decide to keep.

is a function of . Solve for in:

The question is…

Return

Page 28: Math Tic-Tac-Toe Standard tic-tac-toe board. The active team chooses a square; the question is revealed The active team has 15 seconds to decide to keep.
Page 29: Math Tic-Tac-Toe Standard tic-tac-toe board. The active team chooses a square; the question is revealed The active team has 15 seconds to decide to keep.

Decompose into partial fractions:

The question is…

Return

Page 30: Math Tic-Tac-Toe Standard tic-tac-toe board. The active team chooses a square; the question is revealed The active team has 15 seconds to decide to keep.

Decompose into partial fractions:

The question is…+

Multiply by & set :

Multiply by & set :

Multiply by and compare the coefficient of :

+

Return

Page 31: Math Tic-Tac-Toe Standard tic-tac-toe board. The active team chooses a square; the question is revealed The active team has 15 seconds to decide to keep.
Page 32: Math Tic-Tac-Toe Standard tic-tac-toe board. The active team chooses a square; the question is revealed The active team has 15 seconds to decide to keep.

Reference Information• Created in 2013 by Dr. Jeffrey Beyerl for use in the

math club at the University of Central Arkansas• Suggestion: Modify the rules so both teams

compete simultaneously for the square.• The macros I created are perfectly harmless, but of

course like anything you download from the internet: use at your own risk.


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