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Joy of Creative Math Problem Solving

San Ramon Classes
Creative Problem Solving
Working on Problems
Math In Space and Aeronautics
Math Games
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Topics covered: Order of operations, identity, algebra, guess and check.

Krypto extension problem example: In how many ways, can you use 1, 2, 3 to get the target number of 6?  In how many ways can 15 be written as the sum of four different counting numbers? 
Topic covered: Organized list.

Topics covered: Looks for patterns, Venn diagrams, factors, multiples, Organized list, Logic, Noitce and wonder.
Topics covered: Prime numbers, Factors
Topics covered: Organized list, Look for patterns

Tic Tac Toe

Guess My Number with minimum number of questions
Topics covered:  Guess and check, multiples, logical reasoning

One of the students thinks of a 3 digit number and his or her opponent is challenged to be able to guess the number correctly by asking minimum number of questions.  Only questions are allowed are of the following kind about a particular digit (unit's digit, 10's digit or 100's digit):

Is the digit a multiple of x? 
Is the digit x?
Is the digit a prime number?
Is the digit > x?

Guess My Unique Number From the clues I give

One of the students thinks of a number and comes up with clues that would allow the opponent to come with a solution.  If opponent can't come up with an answer, you get a point.  If opponent shows that there is more than one solution, he or she gets a point.
For example:  I have a two digit number between 50 and 60.  It is a multiple of 3. It is an even number. What number is it?

Figure out my Encryption Code

One of the two students uses Cryptogram code of shifting each letter by certain places and representing it by its position to create a sentence with 20 to 30 words and challenges the part to figure it out.  Take turns and see who can figure it out as fast as you can.

Next, create a code to represent each digit or some digits by letters. Then, create a few sums or products using this code. Ask the other team to figure out your code.

Figure out my number

One of the two students thinks of a number, then adds to a number to it, multiplies it by another number, subtracts another number and tells the product to the opponent.  Opponent tries to guess the original number by working backwards. Then, the students take turns.