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Binomial expansions (1+ax)^n - introductory worksheet

Binomial expansions (1+ax)^n - introductory worksheet

This resource can be used to quickly introduce the method for expanding expressions of the form (1+ax)^n where n is a positive integer. It begins by showing expansions of (1+x)^n for small values of n and highlights the coefficients to introduce Pascal's triangle. It then shows how nCr can be used to find the required coefficients in the expansions and has a few expansions of the form (1+x)^n for students to complete. Next is a worked example expanding (1-x)^n to introduce the technique and the pattern of the signs of the terms in the expansion, followed by a few expansions of the form (1-x)^n for students to complete. Next is a worked example expanding (1+ax)^n to introduce the technique and the best way to set out the working, followed by a few expansions of the form (1+ax)^n for students to complete. The answers to all the expansions are included.
langy74
Can you crack the code? Demanding AS Level revision - perfect for new spec - problem solving!!!

Can you crack the code? Demanding AS Level revision - perfect for new spec - problem solving!!!

For these lessons, I have a wooden box which I fill full of goodies (fruits, sweets etc). I then have a large metal chain wrapped around the box with a colourful padlock on (all of which builds the tension...). The aim is for the students to work away in pairs to crack the code! If you don't want to purchase the box etc, the worksheet works perfectly well on it's own. Note: the solution for this worksheet is 8224. This worksheet is a real challenge for your KS5 students - perfect for the new AS Level demands.
Mr_Luscombe_Maths
IB Maths HL - Topic 1 Algebra - Notes

IB Maths HL - Topic 1 Algebra - Notes

Handwritten notes that I made for my HL students on Topic 1 of Algebra in the IB. It includes: 1.1 - Sequences & Series 1.2 - Exponents and Logs 1.3 - Binomial Expansion & Permutations/Combinations 1.4 - Proof by Induction 1.5 - Complex Numbers 1.6 - Complex (Polar Form) 1.7 - De Moivre's Theorem/Euler's Theorem 1.8 - Complex Conjugate Roots of Polynomials 1.9 - Solving Systems of Equations with 3 variables
jwmcrobert
Erica's Errors On Binomial Expansion 3

Erica's Errors On Binomial Expansion 3

Erica's teacher thought she needed more practice on the binomial expansion with negative and fractional indices, including estimating a root using an expansion. She has, as ever, got it all wrong so needs your help. Designed to help students prove their understanding.
alutwyche
Erica's Errors On Binomial Expansion 2

Erica's Errors On Binomial Expansion 2

Erica is struggling when she has negative and fractional indices to expand using the binomial expansion. Can your class help her out and explain what she's done wrong please? Designed to demonstrate deep understanding and to encourage discussion in class.
alutwyche
Maths Classroom Display - Bundle of 25 Posters

Maths Classroom Display - Bundle of 25 Posters

This is an excellent bundle of posters to reinforce learning and to create the right environment within the Mathematics classroom. NOTE: Feel free to browse my shop for more excellent free and premium resources and as always please rate and feedback, thanks.
ajf43
Erica's Errors - AS/A Level Maths (Year 1) Bundle

Erica's Errors - AS/A Level Maths (Year 1) Bundle

Erica makes mistakes; lots of mistakes. You have her homework on every topic covered in the first year of her A level mathematics course where she consistently makes mistakes. Your job, or more accurately, the students in your classes' job is to correct Erica's errors and explain where she's gone wrong so that she doesn't make the same mistakes again. These have gone down well in my classes and really encourage discussion about the mathematics and should embed a deeper understanding.
alutwyche
Erica's Errors On Binomial Expansion

Erica's Errors On Binomial Expansion

Erica is struggling with the binomial expansion; can you (and your class) help Erica correct the answers she has arrived at and explain to her what she has done incorrectly. This is designed to create discussion and help students become familiar with new style questions.
alutwyche
Binomial Expansion Codebreakers

Binomial Expansion Codebreakers

There are two codebreakers, each furnished with a terrible joke. The first deals with positive powers only, the second deals with fractional and negative powers. Designed for a quick homework or plenary.
alutwyche