# Spring 2011

 24 Jan Warmup 1: Cher in six decades Ancient mathematics Real number system Pre-test HW: Research presentations and rubric READ: NCTM preface (pp. vii-xi) with worksheet and Introduction (pp. 1-11) with worksheet 31 Jan Warmup 2: Wicked maths quiz Introduction to number theory History of number theory Interesting sets of numbers Base 10 number system Introduction to other number bases Base 5 number system HW #1: other number systems READ: From Exploration to Generalization (from the textbook CD) 7 Feb Warmup 3: Number theory quiz Goldbach conjecture Sieve of Erastosthenes 100 cards POW Prime & composite numbers Fundamental Theorem of Arithmetic Is one a prime number? HW #2: primes READ: NCTM Introduction (pp. 1-11) with worksheet 14 Feb Warmup 4: For what bases does the number 1-2-1b represent a square number? Babylonian number system Egyptian number system Simple proofs HW #2a: simple proofs 21 Feb Warmup 5: Division rule for 9 Mayan number system Incan number system Division & divisibility rules Division by zero Divisibility HW #3: divisibility 28 Feb Warmup 6: Busy Bee Binary/Hex number systems Wizard POW GCF & LCM HW #4a: GCF/LCM READ: You can't get there from here! 7 Mar Warmup 7: Hotel Infinity Euclidean Algorithm Cantor and infinity video (3:28 to 6:16) Countable & uncountable sets HW #4b: GCF/LCM and HW #5: countable proofs 14 Mar Spring Break 21 Mar Warmup 8: St Ives problem Sequence types Alkanes Series & more series HW #6: series 28 Mar Warmup 9: Coloring Pascal's Triangle Chinese remainder theorem  Modular arithmetic Modular arithmetic quiz Equivalence relations Congruence & residue classes HW #7: ants go marching 4 Apr Warmup 10: Chickens & pigs Golden ratio presentation Diophantus & Diophantine equations Constructible numbers Transcendental numbers Irrational numbers Proof that sqrt(2) is irrational HW #8: professional article & research article 11 Apr Warmup 11: Palindrome numbers Magic/Latin/Euler squares Kaprekar numbers 18 Apr Duodecimal number system Fermat's last theorem presentation READ: Calculator Cryptography (from the CD in the textbook) 25 Apr RSA Cryptography presentation Repeating decimals Continued fractions & properties HW #9: continued fractions 2 May Imaginary numbers & complex numbers HW #10: imaginary numbers All late work is due by tonight! 9 May Number theory post-test