Binomial+Theorem+SL

=** The Binomial Theorem **= Insert picture here

Text Reference
Mathematics HL for the International Student (Haese and Harris) 2nd Edition: Chapter 8 Mathematics SL for the International Student (Haese and Harris) 2nd Edition: Chapter 9

Syllabus Content and Skills

 * **SL/HL Common Core** || **Skills** || **Skills Practice** || **GDC Approaches** || **Web 2.0** ||
 * * Binomial theorem || * use the binomial theorem to expand a binomial expression
 * find a term in a given expansion
 * generate the binomial coefficients using Pascal's triangle
 * generate the binomial coefficients using the features of your GDC
 * describe six patterns common to any binomial expansion || * Haese and Harris chapter 9
 * Past paper questions || * use a CAS calculator to expand and investigate and to generate the coefficients of Pascal's triangle
 * use the GDC to generate binomial coefficients using the nCr function. ||  ||


 * **Additional HL Core** || **Skills** || **Skills Practice** || **GDC Approaches** || **Web 2.0** ||
 * * Counting principles
 * Permutations
 * Combinations || * simplify expressions involving factorial notation
 * solve simple problems involving permutations and combinations || # Haese and Harris Chapter 8
 * 1) Past paper questions || * use the GDC to find permutations and combinations ||   ||

Resources and Key Unit Links

 * Title || Description ||
 * Counting Principles || A worksheet for practicing counting skills and permutations involving distinct objects ||
 * Permutations || A worksheet for practicing problems involving the number of permutations of objects selected from a group ||

Lesson Sequence

 * **Lesson** || **Description** || **Practice** ||
 * Expanding Binomials and Pascal's triangle || Students should understand how to Pascal's triangle is constructed and observe patterns within the triangle itself || Ex. 8F #1 - 7 ||
 * Combination Notation and the Pizza Dilemma || Students should be able to generate binomial coefficients on the GDC and compare with those found using Pascal's triangle. || Ex. 8E #1,2,3,16. Select questions from remainder of exercise ||