Teaching AS Level Maths Twitter rachelmahoney 14 th

Teaching AS Level Maths Twitter: @rachelmahoney 14 th 8 year of teaching rd 3 year as HOD RD 3 year teaching AS level

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Chapter Overview 1: : Pascal’s Triangle 1 2: : Factorial Notation 1 1 1 2 1 1 3 3 1 4: : Using expansions for estimation 3: : Binomial Expansion

Starter ? ? ? What do you notice about: ? ?

More on Pascal’s Triangle The second number of each row tells us what row we should use for an expansion. 1 1 1 In Pascal’s Triangle, each term (except for the 1 s) is the sum of the two terms above. 2 3 4 5 1 1 3 6 10 Fro Tip: I highly recommend memorising each row up to what you see here. 1 4 10 1 1 1

Example Next have descending or ascending powers of one of the terms, going between 0 and 4 (note that if the power is 0, the term is 1, so we need not write it). First fill in the correct row of Pascal’s triangle. Simplify each term (ensuring any number in a bracket is raised to the appropriate power) And do the same with the second term but with powers going the opposite way, noting again that the ‘power of 0’ term does not appear. Fro Tip: Initially write one line per term for your expansion (before you simplify at the end), as we have done above. There will be less faffing trying to ensure you have enough space for each term.

Another Example Fro Tip: If one of the terms in the original bracket is negative, the terms in your expansion will oscillate between positive and negative. If they don’t (e. g. two consecutive negatives), you’ve done something wrong!

Getting a single term in the expansion ? ? ?

Test Your Understanding Edexcel C 2 ? ?

Exercise 8 A Pearson Pure Mathematics Year 1/AS Pages 160 -161 1 ?

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