Recognize and appropriately apply the integer topics of modular division, factoring, greatest common factors, least common multiples, factorials, and Fibonacci sequencing.

1. Correctly recognize and compute with the modular division operator %. For example, give the result of 4524 % 17.
   Web Content:
   • Khan Academy: what-is-modular-arithmetic This is a textual presentation and it is technically wonderful but probably too deep for our purposes.
   • Palay: Modular Arithmetic, Page 1 6:10
   • Palay: Modular Arithmetic, Page 2 9:06
2. Correctly factor a positive integer into its prime factors. For example, factor 4275 into its prime factors.
   Web Content:
   • Khan Academy: prime-factorization 4:09
3. Correctly compute the greatest common factor of two positive integers. For example, compute the gcf of 324 and 784.
   Web Content:
   • Khan Academy: greatest-common-divisor 6:19
   • Khan Academy: greatest-common-divisor worksheet
   • Palay: GCF GCD using prime factorization 6:07
   • Palay: GCF GCD using the Euclidean Algorithm 6:37
4. Correctly compute the least common multiple of two positive integers. For example, compute the lcm of 162 and 324.
   Web Content:
   • Khan Academy: least-common-multiple 4:01
   • Khan Academy: least-common-multiple--lcm 5:24
   • Khan Academy: least-common-multiple worksheet
   • Palay: LCM using prime factorization 4:15
   • Palay: LCM using the Euclidean Algorithm 4:24
5. Correctly recognize and compute with the factorial operator !. For example, compute 6!.
   Web Content:
   • Palay: Factorials, Page 1 3:52
   • Palay: Factorials, Page 2 4:52
6. Correctly continue a given Fibonacci-like sequence for at least three more values. For example, given the sequence 3, 4, 7, 11, 18, 29, ..., produce the next three values in the sequence.
   Web Content:
   • doodling-in-math--spirals--fibonacci--and-being-a-plant--1-of-3 5:56
   • doodling-in-math-class--spirals--fibonacci--and-being-a-plant--2-of-3 6:14
   • Khan Academy: doodling-in-math--spirals--fibonacci--and-being-a-plant--part-3-of-3 6:07