Unit1 1 Algebra

Student Activities:
  1. Partial Fractions Examples Seven step-by-step animated examples. The relevant examples are: 1, 2, 3, 4, 5, 8 and 9 *May not be the method you were taught* ( from Visual Calculus, Math Archives)
  2. Partial Fractions Problems Seven problems with hints and solutions (the last three are not relevant to the course) *May not be the method you were taught* (from Visual Calculus, Math Archives)
  3. Permutations and Combinations Audio/visual tutorials introducing basic ideas (NC State University)
  4. Understanding Summation Notation 1 and Understanding Summation Notation 2 Work through the examples, click for the solutions, click again to generate new examples (mathsnet)
  5. Notation: n! and nCr (mathsnet)
  6. The Expansion of (1+x)n and (a+b)n Read the explanation then try some values (mathsnet)

 

Teaching Resources:
  1. Pascal's Triangle Interface Shade entries in Pascal's triangle according to the remainder they leave when divided by n (modulus n) eg modulus 3 gives remainders on division by 3 as Red: rem 1; Green: rem 2; Black: multiples of 3 (CECM, Simon Fraser University, California)
  2. Sergey Butkevich's Applet. A black and white version of No1 above with max 650 rows
  3. Virtual Manipulative: Pascal's Triangle This interactive Triangle allows various sequences/multiples etc to be highlighted (NLVM)

 

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