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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
Special Ratios
grahamcolmangrahamcolman

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.
Seasons on Saturn
grahamcolmangrahamcolman

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.
Voting Systems
grahamcolmangrahamcolman

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.
Graphs of Rational Functions
grahamcolmangrahamcolman

Graphs of Rational Functions

(1)
Matchup the graph to its equation. These are all of the type linear/linear. To extend students there are eight equations but only six graphs; students must work out which are missing and draw the other two. As a further extension, two equations produce the same graph, how come?
Standard Integrals (inc proof of)
grahamcolmangrahamcolman

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.
Keplar's Third Law
grahamcolmangrahamcolman

Keplar's Third Law

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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.
Quadratic Formula Synthesis
grahamcolmangrahamcolman

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).
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.
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.
Easy UCAS Report Writer Lite
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Easy UCAS Report Writer Lite

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Video guide to this resource at [](Video guide to this resource at ). This file has been adapted from the original Easy Report Writer to make writing UCAS reports quick and easy. There are sections for comments including Work Ethic, Teamwork, Written, Verbal, Degree and Tail. With this file you can write up to 5 UCAS subject reports at a time. There is a premium version of this file available too which has more comments and enables you to write up to 35 reports at a time. Upgrade to the full version of this resource at https://www.tes.com/teaching-resource/easy-ucas-report-writer-premium-11845636. This file will save you hours. With this Lite version of this resource you can write reports on up to 5 students at a time. We do recommend reading your subject reports through to check that they flow well and that use of name vs he/she reads well. Please aim to create your own UCAS comments rather than using the example ones here. If you find this useful please leave a positive comment. An important note… This file uses macros to do all the fancy stuff, but macros do work on Macs so you’ll need to run this file on a windows computer. It’s an Apple thing and is the same with all macro-based files. Any issues at all, please contact me at .
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.
Great New A Level Multi-Topic Questions
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Great New A Level Multi-Topic Questions

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A collection of some of the best new A level maths questions that really test and push students knowledge, understanding and ability. These are the new, unique and often multi-topic questions that teachers think are great and which students students really need to get to grips with for the new style maths A level. I make all my students complete these and then we dissect each of these in class to look for; the clues in the question that tell us what to do, the recall and knowledge that students need to bring to complete the question, and the work required to put into the question to get to the answer. Tried and tested in the classroom many times. Includes all exam paper references so you can check the markschemes too. Includes pdf and Word document files. **I’ll continue to more to this document as more questions become available so this resource includes a link to access the most recent version of this document
Get exam marks in... Integration by Substitution
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Get exam marks in... Integration by Substitution

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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...'
Get exam marks in... Integration by Parts
grahamcolmangrahamcolman

Get exam marks in... Integration by Parts

(0)
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...'
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.
Relationships (between equations, graphs, sequences etc.)
grahamcolmangrahamcolman

Relationships (between equations, graphs, sequences etc.)

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This is a great, open ended, rich maths task which encourages students to understand connections - relationships - between many areas of maths. Here is… a number machine, algebra, graph, sentence, sequence and input/output table for students to investigate… and hopefully come to the conclusion that all represent the same relationship in different ways. I’ve tried this a few times with Yr7, 8, 9 students and, although they start off slow and I keep my own input to a minimum, they usually get there and appreciate it all the more after a while. If the class is really struggling then you could use the suggestions for ways to investigate which are on slide 4. To extend this rich, open task students could create their own set of cards. The file ‘Relationships’ is the main activity and the ‘LessonPlan’ goes with this. I suggest print out the main page for pairs of students as well as projecting from of class. A subsequent activity / lesson could be students to complete the number machine, table, sentence and graph from the algebra. The file ‘Relationships2’ are the resources that you’ll need for this with the file ‘LessonPlan2’ as the lesson plan. Tried and tested, and corrected(!), in the classroom many times. This download includes a pdf files as well as the original powerpoint and word files for easy editing.
Top Mathematicians (History of Maths)
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Top Mathematicians (History of Maths)

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A match-up activity for students to learn about the history of maths. Students match up famous mathematicians names, pictures, dates, 'most famous for', 'something else' and 'about the person' cards. I suggest allow students to use laptops etc to support. Designed to instigate knowledge and awareness of some of the most famous mathematicians as well as learning methods for finding info online. My Year 12 groups really enjoy this and we drop aspects of some of the mathematicians into appropriate topics. Tried and tested in the classroom many times. This download includes a pdf file as well as the original powerpoint file for easy editing.
Solving Equations Game
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Solving Equations Game

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Pupils earn points by solving the equations. Easier questions earn less points so pupils self-differentiate and decide their own level of difficulty for themselves (although the teacher should check that they do this sensibly of course!). I tell pupils that those with most points after a given time period win. The competitive nature of this activity encourages pupils to push themselves more than they would usually and I’m always pleasantly surprised at what equations they can do here. Answers to the equations are included. as well as an easier version (v3) with no negative answers. Tried and tested in the classroom many times. This download includes a files as well as the original word files 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.