A lesson that was used to secure a job. Lesson begins with testing students ability to expand double brackets. Presentation slides scaffolds working out needed for algebraic proof. This is complimented by a matching activity which is followed by a RAG activity, the red having a scaffold to assist students. Please leave feedback and rate!
The worksheet teases out expressions to show certain situations (e.g. the sum of 2 consecutive odd numbers) and features options on an "answer grid" at the bottom of the page. The Very bottom of the sheet allows pupils to apply their new skills by attempting some proof work. Please feel free to adapt/modify for your groups and let me know how it goes! Thanks, James
This workbook provides excellent opportunities for improving algebra skills while learning how to construct an algebraic proof. Click 👉 tes.com/…/Workbooks… to download workbooks on other topics.<hr>The questions require the expansion of brackets, simplifying expressions and factorising. For this reason, this workbook can be extremely helpful to Foundations students as well as Higher. The first few exercises give practice at mastering the basics, then there are some nice challenging extension questions.<hr> Note that the booklet is designed to be printed as A4, but I usually reduce it to A5 and it still does the job.<hr>👍If you like this resource, then please rate it and/or leave a comment💬. If the rate-resource button on this page doesn’t work, then go to your ratings page by clicking 👉 www.tes.com/…/rate-resources…
Comes with Powerpoint and worksheet. Includes harder follow up questions where you use a completed congruence proof to make subsequent justifications.
A PowerPoint covering the Proof section of the new A-level (both years). It includes disproof by counterexample, proof by deduction, proof by exhaustion and proof by contradiction, with examples for each. The proof by deduction section also includes a few practice questions, with solutions in a separate file. The final slide lists a few suggested sources of further examples and questions on this topic. PowerPoint slideshow version also included - suitable for upload to a VLE. Latest version posted 2/12/19 with a small correction to proof of the infinity of primes.
Maths investigation suitable for KS3 and KS4. Using algebra to prove number facts. Print out the powerpoint slides to use as revision cards for algebraic proof. Alternatively use them as a teacher resource. The worksheet has six questions with worked solutions.
Proof by Induction
Nice, colourful visual proof of the area of a trapezium. Just click through the slides. Check that you know what's coming so you can ask questions along the way.
Linked to the defining vectors activity, using the vectors defined in the image to prove standard results like ratios of line segments, whether points lie on straight lines, etc. For extra challenge take out the image with the pre-defined vectors and add the image from my vector definition activity so that pupils have to define the vectors before using them. Answers can be found on the prezi at link https://prezi.com/lenmenrpi1li/vector-proof/
Covers algebraic and geometric proofs within the AQA IGCSE Further Maths Level 2 syllabus. Also covers identities.
Covers the principle of counterexamples as well as proofs to do with even/oddness, consecutive numbers and digits. For high ability students.
Proof and practice. Revision of trig proof of identities.
This power point provides you with a guide as to how we know v2 is irrational. Works well for KS4 and KS5 students as I find that many of them are not content with just being told that surds are non-recurring, non-terminating. You will need to present this to students - they're unlikely to follow it by themselves.
A sheet of Core 3 proof questions complete with answers.
Power point slide demonstrating how the re-arrangement of triangles in a square proves Pythagoras' theorem. Add your own commentary.
A set of GCSE Mathematics, algebraic proofs that can be cut up and sequenced. An intermediate stage towards learners writing their own proofs.
Hopefully this is an accessible geometric proof of the sin(A+B) and cos(A+B) formulae
Deduction, contradiction, counter-example
This carefully selected compilation of exam questions has fully-worked solutions designed for students to go through at home, saving valuable time in class. Click 👉 tes.com/../Exam Question Practice… to download question compilations for more than 50 other topics. I usually print these questions as an A5 booklet and issue them in class or give them out as a homework. I also make them available for a student who wants to do focused independent study on a topic. -- 👍If you like this resource, then please rate it and/or leave a comment����. If the rate-resource button on this page does not work, then go to your ratings page by clicking here 👉tes.com/.../rate-resources…
Agebraic proofs, GCSE, Higher Tier, KS4, grades A and A*, challenging, examination style questions, with answers/solutions, CW, HW, calss discussion
Proofs, identities, equations, graphs, sec, cosec, cot