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Colmanweb

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Graham Colman has been a UK high school and sixth form maths teacher since September 2001. Here you'll find a wealth of great maths and space science resources which have been used, tried and tested and actually work in the classroom. Graham runs his own popular maths website at www.colmanweb.co.uk where you'll find many more resources like these. You can email Graham at grahamcolman@colmanweb.co.uk

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Graham Colman has been a UK high school and sixth form maths teacher since September 2001. Here you'll find a wealth of great maths and space science resources which have been used, tried and tested and actually work in the classroom. Graham runs his own popular maths website at www.colmanweb.co.uk where you'll find many more resources like these. You can email Graham at grahamcolman@colmanweb.co.uk
Keplar's Third Law
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Keplar's Third Law

(1)
GCSE higher extension, proportion activity. Mathematics, Physics cross-curricular task based on exploring Keplar’s third law. Students learn how to apply this to the planets, as they orbit the sun, and then to the moon, space station and geostationary satellites, as they orbit the Earth. Answers, internet links and lesson plan included.
Voting Systems
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Voting Systems

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An interactive lesson on different voting systems - 'first past the post' vs 'alternative vote'. Includes examples of where each type of system works and fails together with resources for holding a real class election (on foods and animals) to really test each system. Also includes links to websites and videos explainers, alongside comprehensive lesson notes, all to make life easier for the teacher! Successfully tested on a Yr11 class, ideal for able Yr9 or Yr10-13 groups. VotingSystems.doc is the key document with all other resources provided too.
Chain Rule Practice
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Chain Rule Practice

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Set of questions of progressive difficulty, based on variation theory and grouped into clear sections for students to familiarise themselves with the chain rule, answers included. Tried and tested successfully in the classroom many times. This download includes a pdf file as well as the original word file for easy editing.
Maths Tricks
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Maths Tricks

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A set of some of the most popular and inspiring maths tricks for printing off as A5 size playing cards. Each trick could provoke a lesson in itself. Files here include notes answers and links for each 'trick'. Here is also a copy of the Maths Tricks cards for displaying on the whiteboard. Various 'levels' of tricks and questions but these are largely suitable for Yr8-Yr12. Tried and tested, and corrected(!), in the classroom many times. Tried and tested many times in the classroom, as talks and as promo events with various age groups many times. This download includes pdf files as well as the orginal powerpoint and word files for easy editing.
Product Rule Match-up
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Product Rule Match-up

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Three match-up puzzles for pupils to practice product rule. First is straightforward polynomial brackets, second involves square roots and negative &/or fractional indices, the third involves exponentials and trig functions. The stars indicate the questions but you can choose whether or not to tell students this. Answers included together with blank templates for pupils to create their own puzzles. Tried and tested, and corrected(!), in the classroom many times. This download includes a pdf file as well as the original powerpoint file for easy editing. Also available as complete set together with chain rule and quotient rule match-ups.
Chain Rule Matchup
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Chain Rule Matchup

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Three match-up puzzles for pupils to practice chain rule. First is straightforward polynomial brackets, second involves square roots and negative &/or fractional indices, the third involves exponentials and trig functions. The stars indicate the questions but you can choose whether or not to tell students this. Answers included together with blank templates for pupils to create their own puzzles. Tried and tested, and corrected(!), in the classroom many times. This download includes a pdf file as well as the original powerpoint file for easy editing. Also available as complete set together with match-up product and quotient rule questions.
Quotient Rule Match-up
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Quotient Rule Match-up

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Three match-up puzzles for pupils to practice chain rule. First is straightforward polynomial brackets, second involves square roots and negative &/or fractional indices, the third involves exponentials and trig functions. The stars indicate the questions but you can choose whether or not to tell students this. Answers included together with blank templates for pupils to create their own puzzles. Tried and tested, and corrected(!), in the classroom many times. This download includes a pdf file as well as the original powerpoint file for easy editing. Also available as complete set together with chain and product rule match-ups.
Altitudes
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Altitudes

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KS2, KS3, GCSE matchup activity. Pupils consider order and relative altitudes of Earth features, satellites (natural & artificial) é stars. A good real life ordering task or use as a prompt to introduce scale and scale models. Answer included.
I Can Calculate
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I Can Calculate

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A set of questions for students to check that they really know their way around their calculators; pi, stanard form, fractions, trig, multi-step calcs, reciprocals... Answers included.
Conic Sections
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Conic Sections

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Notes on the ellipse, hyperbola, parabola, circle. Includes eccentricity, foci and the directrix. A second page tabulates transformations (translation, reflection in y=x, stretch vertical and horizontal). A whole (AQA) FP1 chapter summarised on an A4 side with extension material on the reverse. Making learning easy.
Standard Integrals (inc proof of)
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Standard Integrals (inc proof of)

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Notes and proofs of standard integrals for AQA Core 3. Suggested use in classroom; pupils to read and understand proof of integral involving arctan and then construct a similar proof for integral involving arcsin. Intention is to provide solid proof and argument why this integration introduces arctan & arcsin.
Quadratic Formula Synthesis
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Quadratic Formula Synthesis

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Complete the steps in the table to get from ax^2+bx+c=0 to the quadratic formula. Or, to support, cut out the steps and ask students to arrange them in the correct order. Answers on page 1, empty table on page 2. Best printed on A3. Great for engagement on sixth form open evenings.
First Contact
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First Contact

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KS2, KS3, GCSE enrichment, logical thinking, prime numbers. Inspired by Sir Patrick Moore, this activity prompts pupils to think about what kind of message we would send to aliens and how we would send it. After considering various issues, pupils complete a 'paint by numbers&' activity to see what Sir Patrick Moore recommends. A second, real life, extension task based on the Arecibo Message is also included. Answers and internet links included, plus a link to the message that NASA put aboard the Voyager spacecraft (the only spacecraft to leave our solar system).
Great Maths Reading Books
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Great Maths Reading Books

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To compliment the current emphasis on reading, enjoy this poster-list of some of the best mathematics reading books. Books range from KS3 to KS5 but are all enthralling and some are simply must reads for A Level Maths students. QR codes take you direct to the Amazon page where you can purchase the books.
Special Ratios
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Special Ratios

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Nice ideas kickstart students investigations into the special values of pi, phi (golden ratio) and root2. Students will investigate the relationship between a circles diameter and its circumference and area, the numbers of the fibonacci sequence and real life and then the relationship between A3, A4, A5 paper.
Binomial Expansions General Formula
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Binomial Expansions General Formula

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Here’s a well thought out set of binomial expansion questions for Year 13 students (A level Year 2). Includes the general formula at top of page then eight questions for learning plus another eight for more practice plus an* application of* style question to finish. Tried and tested in the classroom many times. This download includes a pdf file as well as the original word file for easy editing.
Finance Terms
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Finance Terms

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This task was created at the request of my Yr13 sixthformers, “we don’t know any of this stuff, we don’t know how to adult!” So, this activity consists of four pages with lots of finance words and terms together with information and definitions of what these are. The task is to match up the terms with their definitions. Words are grouped into four pages by: The Basics Using Money Saving Money Borrowing Money We have deliberately included some simple and straightforward information as well as some of the more complicated technicalities. The task of matching up is designed to be fairly easy but the real goal here is to easily learn lots about these financial words, products, services etc. Answers are included, just scroll down (or turn the page) to find them. The matching patterns have been designed to be easy to check pupils work but it’ll probably be easier still to print these off beforehand so that you can refer to them if necessary during the lesson. As mentioned above, we’ve included simple information as well as more complicated but you’re not expected to know all of this yourself. You may even take something from this activity too! This download includes a pdf file as well as the original powerpoint file for easy editing.
Trigonometry, Pythagoras, Sine Rule, Cosine Rule
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Trigonometry, Pythagoras, Sine Rule, Cosine Rule

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Perfect for top-end GCSE or A level/GCSE consolidation. Here’s a well laid out task consisting of 20 questions, being 4 questions based on each of; Pythagoras Standard right-angled trig Sine rule Cosine rule Sine rule for area. As well as a couple of straightforward questions there’s also real clanger or two of a question in each section. This will keep students busy for a full lesson. Answers included. Tried and tested, and corrected(!), in the classroom many times. This download includes a pdf file as well as the original powerpoint file for easy editing.
Triple Simultaneous Equations
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Triple Simultaneous Equations

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Here’s seven triple-simultaneous-equations plus one quadruple-simultaneous-equation. A great extension task for more able students (whilst others consolidate and ensure that they understand regular, two-simulataneous-equations). Whilst harder, these all have whole number solutions (bar the last triple question) so that students can focus on the maths and proceedures without getting bogged down in numberwork. Includes answers. Tried and tested in the classroom many times. This download includes a pdf file as well as the original Word file for easy editing.
Chain, Product, Quotient Rule Matchup
grahamcolmangrahamcolman

Chain, Product, Quotient Rule Matchup

4 Resources
This bundle includes the Chain, Product and Quotient rule match-up activities. All with answers. All as pdfs file as well as the original powerpoint files for easy editing. Bonus resource = Chain Rule Practice activity. A well thought out series of questions based on variation theory for students to progress through learning how to use the chain rule.