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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
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
grahamcolmangrahamcolman

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.
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.
Core 3 Revision Quiz
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Core 3 Revision Quiz

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A lovely quiz to check pupils understanding of some key concepts from the AQA Core 3 module. Here are 12 rich-maths questions covering the typical major misconceptions. 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.
Reverse Percentage Questions
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Reverse Percentage Questions

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A decent set of reverse percentage questions for pupils to check their knowledge and understanding of this topic. All questions involve sensible numbers so that students can focus on the task at hand without getting bogged down in the numberwork, this also means that able students can complete this with or without a calculator. Includes answers. Tried and tested, and corrected(!), in the classroom many times. This download includes a pdf file as well as the original word file for easy editing.
Percentage Checkup
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Percentage Checkup

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A well structured set of questions to check students understanding and abilities in… Percentage of, Percentage increase & decrease, Reverse percentage, Compound interest Includes answers. Ideal for Yr7-9 students. Tried and tested in the classroom many times. This download includes a pdf file as well as the original word file for easy editing.
Percentage Extension Questions
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Percentage Extension Questions

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Here’s a set of really quite challenging percentage questions to really test students understanding of percentages as well as their mathematical reasoning skills. Tried and tested in the classroom many times but I’ve left the answers to you, the teacher, this time around. This download includes a pdf file as well as the original word file for easy editing.
Percentage Gone Wrong
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Percentage Gone Wrong

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This was found at a local supermarket by a pupil with very good knowledge of percentages! Show this image to the class and ask them what the mistake is. A great discussion point and lesson starter. Large and small image downloads here.
Vectors Probing Questions
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Vectors Probing Questions

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This is an activity for Yr13 pupils to check and extend their understanding of vectors. This is a a set of questions to really check understanding of several vector concepts including magnitudes of vectors, vector equations of lines, scalar product and closest distance between a point and a line. Answers and workings included for our suggested vectors but you, the teacher, could choose to ask students for their own vector suggestions which would give completely different answers. Bonus Resource 1: Notes on Vectors. This is the set of ‘notes on a page’ that I give to my students doing this topic. Bonus Resource 2: Vector Triangles in 3D Space - A great problem-solving-style, simple question with many approaches and possible answers; Sort these triangles into scalene, isosceles and equilateral. Which are right angled too? The task involves using lots of those key vector techniques that students need to be able to perform. Sorry, no answers here this time though. Tried and tested in the classroom many times. This download includes all files as pdfs as well as the original word files for easy editing.