Ks5 maths core 4/C4 Binomial Expansion worksheets

Ks5 maths core 4/C4 Binomial Expansion worksheets

Binomial Expansion – Examples Binomial Expansion For C4, there are two forms of the binomial expansion which you must know. For both, the formulae necessary are in the formula booklet. Past Paper Questions using Binomial Series C4, June 2005 1. Examples 2. Notes 3. Past paper questions
chuckieirish
Extending the Binomial expansion

Extending the Binomial expansion

Use 'Patterns in Pascal's triangle' as a starter - give each individual/pair one of the diagrams and ask them to describe the pattern of shading and to say what links the shaded cells. Then expand (1-x)^-2 as a class and simplify first six terms. Pupils then independently investigate the expansion for three different values of x.
nottcl
Binomial Series

Binomial Series

Two binomial series worsheets for Core Maths 4 module. The original, creates an expansion for students to try using a random number for the index. The second removes the random option and uses a scroll bar to vary the index. In addition, the second worksheet investigates the graphical representation of various approximations up to the first three terms. In both cases, Excel may need to be adapted to allow some add-in installed - instructions included.
aliali
Autograph Team - Binomial Theorem

Autograph Team - Binomial Theorem

A video from the Autograph team. The Binomial approximation is often used for approximating powers of numbers close to 1, but how close to 1 do we need to be in order for the approximation to be any good? Clicking on the web-link below takes you to all the videos in this series.
MrBartonMaths
Extending the Binomial Theorem Lesson

Extending the Binomial Theorem Lesson

If your students need some practice at using the Binomial Theorem in the case where negative and fractional indices are involved, then this activity offers a mini-theorem that students can work towards proving whilst consolidating their Binomial Theorem knowledge along the way.
Jonny_Griffiths
Doing and Undoing the Binomial Theorem

Doing and Undoing the Binomial Theorem

Given a rational function we can hopefully find the right hand side as a power series using the Binomial Theorem. What happens if we are given the right hand side - what are the constants on the left? A tough actitivity, but rewarding.
Jonny_Griffiths
Interactive Binomial Distribution tables

Interactive Binomial Distribution tables

A SmartBoard file, each page is a different value of n. I have inserted semi-transparent horizontal and vertical rectangles that you can move to highlight to pupils how to use the tables - I was fed up of pointing! Any suggestions welcome. Now also a Powerpoint, although it is less dynamic in this format.
mike8001
Spinners

Spinners

How do scores on dice and factors of polynomials relate to each other?
nrich_maths