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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.
KS3 / GCSE Times Tables & Mental Maths - Premium, Upgraded Version
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KS3 / GCSE Times Tables & Mental Maths - Premium, Upgraded Version

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This resource set includes three great activities... 1. The Maths Mental Tests Excel file with 25 arithmetic practice questions. This file generates endless sets of key mathematical numeracy questions for regular practice to develop student’s fluency in maths. One sheet to use for printing worksheets, another sheet of the same questions for projecting / displaying on screen. Press F9 for a new set of questions. 2. BONUS RESOURCE – A link to a fully interactive and mobile-friendly website of all of the Key Stage 3 Mental Maths audio questions. See notes in pdf file for this link. 3. BONUS RESOURCE – 40 Arithmetic Operations This is another file for generating quick sets of addition, subtraction, multiplication, division or mixed questions for pupils to practice quick arithmetic skills. This is designed to print worksheets of 40 questions for students to complete, perhaps against the clock.
Get exam marks in... Integration by Parts
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Get exam marks in... Integration by Parts

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Notes on how exam marks are typically awarded for integration by parts questions. Includes a writing frame, practice of several questions and answers. Questions taken from the AQA syllabus as shown on document. 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. This is one of a series of three 'How to get exam marks in integration by substitution / differential equations / integration by parts' resources. Also available as a bundle, search for 'Get exam marks in...'
Get exam marks in... Integration by Substitution
grahamcolmangrahamcolman

Get exam marks in... Integration by Substitution

(0)
Notes on how exam marks are typically awarded for integration by substitution questions. Includes a writing frame, practice of several questions and answers. Questions taken from the AQA syllabus as shown on document. 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. This is one of a series of three 'How to get exam marks in integration by substitution / differential equations / integration by parts' resources. Also available as a bundle, search for 'Get exam marks in...'
Methods for Integration
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Methods for Integration

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An info sheet and questions on identifying aspects to look for when deciding which method for integration. Questions are mostly exam questions to practise each method. Includes answers. 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. Bonus resource - Choosing which method to Integrate (Word and PDF files). A flowchart to help students decide which method to use when.
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.
How High?
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How High?

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This is a space-based KS2 / KS3 / GCSE matchup activity. Pupils consider and then rank relative altitudes of Earth features, satellites (natural & artificial) & stars. Pupils will match up and order the images, numbers and written information about each object. There are loads of maths aspects in here, deliberately included to make pupils think and question the points raised. A good real life ordering task or use as a prompt to introduce scale and scale models. Includes plenty of information to inspire as well as aspects to prompt questions and thinking skills. As well as maths and space science, can also be used as a literacy resource. Tried and tested in the classroom with various groups and ages (Yr5, Yr7, Yr8, Yr9, PGCE students). This download includes three versions of this activity - one specifically for primary pupils. Includes pdf files as well as the original powerpoint/word documents 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.
Chain, Product, Quotient Rule Tough Recap!
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Chain, Product, Quotient Rule Tough Recap!

(5)
This is a set of chain rule, product rule and quotient rule differentiation questions for students to check their understanding (and/or recollection). The activity is divided into one set each of chain, product and quotient rule questions with each set consisting of easy, medium and hard questions (the rows) as well as polynomial, trigonometrical and exponential equations (the columns). Tried and tested on my Year 13 students (single maths and further maths students) who have enjoyed recapping their knowledge with this task this week. And the best bit... answers included!
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.
Seasons on Saturn
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Seasons on Saturn

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KS3 (with support) & KS4, application of standard (right-angle) trigonometry and transformations of curves. This task involves students making and using measurements from Hubble Space Telescope images to determine Saturn’s orbital period and then transform the sin curve using the excel file to establish when it will next appear ‘edge-on’. Lots of geometrical reasoning, problem solving and ICT. Teachers notes, internet links, images, Excel file and Powerpoint animation included.
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.
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).
Total Solar Eclipse (Maths of)
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Total Solar Eclipse (Maths of)

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This is a similar triangles activity based on the real life science behind a total solar eclipse. Use the inspiring context of what a total solar eclipse is and why it causes a path of shadow on the Earth to engage students in proportional reasoning. Easier and harder version of the main task each followed by several extension tasks including a metric/imperial measures exercise and a practical ‘pin hole camera’ activity where students calculate distance to and/or size of the sun. Two tasks, answers, lesson plan, lesson bullet points, internet links and eclipse map included.
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.
Gravity and the Inverse Square Law
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Gravity and the Inverse Square Law

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GCSE higher, inverse proportion activity/worksheet. Mathematics, Physics cross-curricular task based on applying the inverse square law to Newton’s laws of gravity. In this real life application of inverse proportion, pupils will investigate how gravity fields on various planets are inversely proportional to their radius and, subsequently, how they are related to their mass. This is followed by some particularly testing questions to really check pupil’s mathematical, physical and logical reasoning. Answers and internet links included.
Guide to the Universe
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Guide to the Universe

(2)
KS2, KS3, GCSE Powerpoint animation about scale and sizes of various astronomical objects. How exactly do all of those astronomical things shape up? Which are bigger & which are smaller than others? This Powerpoint animation shows the relative sizes of planets, the solar system, our galaxy and beyond. Possible extensions include using a prompt to explore standard form and/or the speed of light. Open powerpoint, begin slideshow, prepare to discuss various concepts that arise. Pdf version also included.
ISS Earth Circumference
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ISS Earth Circumference

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KS3 and GCSE, circles (circumference formula) activity. Real life application of circumference of a circle formula to work out the circumference of the Earth using altitude, speed and orbital time of the International Space Station. A good extension task is to then find percentage error between this answer and actual answer. Teachers notes, internet links, the answer and workings are included, in both miles and kilometres, together with printer-friendly version of main slide.
Chain Product Quotient Rule Matchup
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Chain Product Quotient Rule Matchup

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Three sets, each of three matchup puzzles, for pupils to practice chain rule, product rule and quotient rule. Answers included together with a blank template for pupils to create their own puzzles. The fourth file is an easier set of chain rule questions.
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.