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💬.
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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!
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!
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/
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Structured Word document which leads through simple proofs through factorising, onto expanding quadratics, subtracting quadratics, and then harder proof questions. Exam questions are available at the end as well. Used with Set 2 Year 10.
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.
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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 worksheet on the different types of algebraic proof questions on the Edexcel GCSE exams.
I am getting to the stage with my year 11s that they need to be revising individualised topics rather than me teaching the whole class. I have designed this for them to work independently, without relying on my help. It contains examples and practice questions. Answers included.
I hope this is useful! Please look at my other revision resources.
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.
Updated version posted 5/10/18 with a couple of minor errors corrected. PowerPoint slideshow version also added - suitable for upload to a VLE.
This resource can be used to get students to derive the sine/cosine rule.
I used it as a proof activity for my year 12 class to get them to construct the proof.
The task walks them through the derivation/proof.
Although presented as a demonstration, the key point of the geometric exercise is that pupils construct their own copy with paper, pencil and a pair of scissors.
They should also be invited to discuss and construct the algebraic proof, preferably in pairs or small groups.
A 'click and watch' approach will not enable pupils to gain a deep understanding of either proof.
This set of interactive lesson resources and interactive lesson plan to illustrate the concept of proof, not by well-known mathematical methods, but via an example in literature, namely, Shakespeare’s Othello, the first scenes of Act One. Teacher asks questions, and students try to find out the next step in the drama. Then the teacher gives them Shakespeare’s version of the next step, and raises the next question.