Newton's Approximation for Pi
source link: https://think-maths.co.uk/newton-pi
Go to the source link to view the article. You can view the picture content, updated content and better typesetting reading experience. If the link is broken, please click the button below to view the snapshot at that time.
Newton's Approximation for Pi
Curriculum Topics Covered
Evaluating terms of the sum by hand can be done with a variety of written calculation methods so is accessible from Key Stage 3 upwards.
Deriving Newton's sum involves A-Level maths knowledge, including the following topics: equation of a circle, binomial expansion, finding definite integrals, areas of sectors of circles, index laws, trigonometry, Pythagoras’ theorem.
MORE INFORMATION
See our Teacher Notes first to get more information about the activities you could do with your class.
For Pi Day Matt followed in Newton’s footsteps and evaluated twenty terms of this sum by hand to get an approximation for Pi. Matt had help from schools across the world who evaluated some of the terms for him. It truly was a mass participation calculation! Watch the video below.
Latest download
The Great Collatz Collab
Introduce your students to the Collatz Conjecture by using these map (graph) drawing worksheets.
The Great Collatz Collab was a project in 2022 where, using maps drawn by students all around the world, we made a giant collaborative Collatz map featuring sections from as many student maps as possible. You can view the final poster and watch the video about it below.
Recommend
About Joyk
Aggregate valuable and interesting links.
Joyk means Joy of geeK