# 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

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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.

#### 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.

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#### Chain, Product, Quotient Rule Matchup

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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.

#### 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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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.

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#### Network Graphs on the London Underground (Tube)

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A series of Decision Maths activities based on the London Underground network graph. Includes shortest path, TSP, route inspection and others. Loads of real life application & SMSC here. Some answers included, more to be added. If you or your class find more before I do, please email grahamcolman@colmanweb.co.uk

#### 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.

#### 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.

#### 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.

#### 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.

#### 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.

#### 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. Quick link to AQA pastpapers here: http://www.colmanweb.co.uk/pastpapers/Pages/aqaalevel.html. 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

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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. Quick link to AQA pastpapers here: http://www.colmanweb.co.uk/pastpapers/Pages/aqaalevel.html. 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...'

#### 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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Three match-up puzzles for pupils to practice product rule. First is straightforward polynomial brackets, second involves square roots and negative &amp;/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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Three match-up puzzles for pupils to practice chain rule. First is straightforward polynomial brackets, second involves square roots and negative &amp;/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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Three match-up puzzles for pupils to practice chain rule. First is straightforward polynomial brackets, second involves square roots and negative &amp;/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.