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maths teacher resources for intelligent practice and challenge at more-same-less.co.uk

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The latest entries posted on Interwoven Maths

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Welcome to Corbettmaths! Home to 1000's of maths resources: Videos, Worksheets, 5-a-day, Revision Cards and much more.

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A different Mathematics lesson starter for each day of the year designed to engage learners with a range of puzzles, exercises and creative ideas. Click on a date in the calendar above for the Starter Of The Day.

You can embed the Starter Of The Day calendar into your own school website or blog.

"I have used your website for the last four years for free and felt guilty every time I used it as it is so brilliant and I feel guilty getting something so good for free. It has changed the way I teach (and after 35 years of teaching that is a real achievement). I now think it is time I paid for the pleasure of using the site."

Clive, UK

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math maths mathematics numeracy mental starter arithmetic daily starter lesson numbers algebra

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A different Mathematics lesson starter for each day of the year designed to engage learners with a range of puzzles, exercises and creative ideas.

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© Copyright 2023 Sparx Ltd - All rights reservedContact us: +44 (0)20 3920 0020 | contact@sparx.co.uk

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GCSE (Edexcel) Revision | 1st Class Maths

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GCSE Revision Resources including Practice Questions and Video Explanations for Edexcel GCSE Maths.

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All content beyond this point is for the higher tier only.

Copyright © Maths Genie. Maths Genie Limited is a company registered in England and Wales with company number 14341280. Registered Office: 143 Lynwood, Folkestone, Kent, CT19 5DF.

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Free online GCSE video tutorials, notes, exam style questions, worksheets, answers for all topics in Foundation and Higher GCSE. The content is suitable for the Edexcel, OCR and AQA exam boards.

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Different booklets based on your target grade e.g. Aiming for grade 7

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Edexcel GCSE Maths Practice Papers Sets 1-18 - MyMathsCloud

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Edexcel GCSE Maths practice papers for all topics based on previous past paper questions and mock questions.

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EPIC MATHS RESOURCES

Welcome to MathsDIY. I'm Kerry, a maths teacher with over 25 years experience including as Head of Mathematics. During these years I have helped literally hundreds (probably thousands) of students right through from year 3 up to those crucial years of GCSE and A level maths exams.
On this website I share GCSE Maths and A Level Maths past paper solutions, topic booklets, resources and tips, to help you with your exam preparation and revision. Because they are bang up to date with the most recent WJEC specifications, they are the best possible resources to help students get the grades they deserve. So if you are a student, get downloading! If you are a teacher, they will hopefully save you hours of lesson preparation and if you are a parent they should provide support and guidance if you want to help your children but are perhaps unsure of how to do it.
Oh, and did I mention everything can be downloaded for FREE?

So, whether you are a student, a parent or a teacher please take a look around and let me know your favourite downloads and what else you'd like to see added.

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MathsDIY - Epic Maths GCSE & A-Level Revision Resources

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Prepare for your Maths GCSE,AS & A-Level exams with our FREE topic booklets and past paper solutions, created by a Maths Teacher with 25 years experience.

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Interactive tools and activites to aid the teaching of mathematics. Hundreds of randomly generated questions and answers.

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GeoGebra - the world's favorite, free math tools used by over 100 million students and teachers

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Free digital tools for class activities, graphing, geometry, collaborative whiteboard and more

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"gcse maths revision" "gcse maths" "gcse maths exam 2019" maths "gcse maths exam 2020" "maths exam 2019" "edexcel maths" "ocr maths" "aqa maths" "gcse maths ...

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Welcome to the TGMT YouTube channel, where education meets entertainment! We believe that learning should be accessible to everyone, regardless of financial background, and that's why we strive to provide high-quality educational content. Our mission is to make a positive impact on the world by helping students achieve their full potential.

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Bring Your Notes to Life with the
AI Quiz Generator

Simply reading textbooks often isn't enough to solidify knowledge. Instead of just taking notes, transform your textbooks into interactive quizzes. Engage with your material, test your understanding, and retain information in a smarter, more effective way.

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GCSE Edexcel Maths Past Paper Questions by Topic

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GCSE Maths past paper questions by topic for Edexcel.

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Maths Practice and Support for Years 9-11

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Maths Kitchen provides easy to use, high quality resources and personalised revision guidance for GCSE Maths

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Explore resource collections

This week's spotlight resources...

99% of schools

have used Third Space Learning resources with their secondary students.

96% of teachers

found Third Space Learning's free GCSE resources useful in the run up to exams.

"That interaction between the student and the tutor is really positive for our students - I can hear them explaining their methodology to their tutors. Their teachers see it in the classroom when a question comes up and they'll say 'I know how to do that! I did it with my Third Space Learning tutor."
Scarlett O'Sullivan
Deputy Headteacher, Barclay Academy, Stevenage

Teaching support from the UK's largest provider of in-school maths tuition

At Third Space Learning, we're on a mission to help teachers like you shape your students into confident, able mathematicians.
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[FREE] Secondary Maths Resources - GCSE & KS3 - Third Space Learning

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Here you can find hundreds of free KS3 and GCSE maths resources: GCSE maths papers (Edexcel, AQA, OCR), worksheets, diagnostic questions, revision mats, end of term tests etc

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UKMT Problem Solving Questions on Colmanweb

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Great maths enrichment material: individual UKMT Senior Challenge questions arranged by topic. Try single questions or sets arranged by topic.

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Press enter to access the Maths Challenge Question Bank

The Maths Challenge Question Bank is not publicly accessible (why).
If you don't have access you can get the questions for your own use from the UKMT Resources website.

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UKMT Maths Challenge questions: tagged with topic keywords, save favourites and display questions and answers

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On this page you will find a collection of problems adapted from the UKMT Mathematical Challenges.

The questions have been grouped into two sets of quizzes:

1. Themed Quizzes

These consist of sets of four or five questions grouped by topic. You may choose to use these at the end of teaching a topic unit to provide some challenge, as starters or plenaries to promote positive discussion, as group work tasks, or as extension material for some students in your class whilst you work on the fundamentals with others.

2. Mathematical Challenge Practice Quizzes

These are sets of five questions that each cover a random selection of topics. There are three challenge levels for these Practice Quizzes:

Bronze Taken from questions 1 to 8 on the original Maths Challenge Papers
Silver Taken from questions 9 to 16 on the original Maths Challenge Papers
Gold Taken from questions 17 to 25 on the original Maths Challenge Papers

Each quiz is taken from a range of years, so you can use these alongside the paper versions of the Mathematical Challenges. You may choose to use these in the build up to a Challenge, or make use of them throughout the year as a way of helping students develop problem solving and analytical skills.

The UKMT questions and quizzes may be used in class, or set for students to answer on our system. The advantage of the latter is that they will be marked for you, and you can access detailed insights into your students' performance and possible misconceptions.

All these questions have been adapted from Junior, Intermediate and Senior Mathematical Challenge problems. However, they have not been labelled as such, and hence can be used by students of all ages to challenge them to think mathematically!

The UK Mathematics Trust is a registered charity that aims to advance the education of young people in mathematics.

The UK Mathematics Trust is a registered charity that aims to advance the education of young people in mathematics.They run solo and team competitions, organise enrichment activities for students, publish books, and train the UK team for the International Mathematical Olympiad. Find out more about the UKMT on their website website.

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On this page you will find a collection of problems adapted from the UKMT Mathematical Challenges. The questions have been grouped into two sets of quizzes: These consist of sets of four or five questions grouped by topic.

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wodb-numbers | Talking Math With Your Kids

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SSDD stands for Same Surface, Different Depth. They are a special set of problems that may look the same at first glance, but require different mathematical ideas to solve them.

SSDD Problems have become one of my key strategies to use with my students to help them become better problem solvers.

You can search for different topics using the tags on the right-hand side (or below if using a mobile device), and you can find out more about SSDD Problems on this page.

My books

I have written two books about my use of these types of activities.

My 2020 book, Reflect, Expect, Check, Explain: Sequences and behaviour to enable mathematical thinking in the classroom, goes into detail about making the most of these activities in the classroom. You can order the book from Amazon, John Catt, or wherever you get your books.

My 2023 book, Tips for Teachers: 400+ ideas to improve your teaching, details my most recent thoughts on using SSDD Problems effectively. You can order the book from Amazon, John Catt, or wherever you get your books.

My online courses

I have an online course store which offers low-cost, high-quality CPD on-demand. Each course contains short videos, resources, research, activities and questions to reflect upon. The courses most suited to the questions on the SSDD Problems website are:

Supporting this website

I do not make any money from this website, so if you did want to support its future development - and hopefully learn more about the pedagogy underpinning these ideas - then I would be so grateful if you would consider:

Thanks so much for taking the time to read this - now go and enjoy the site!
Craig

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Same Surface, Different Deep Structure maths problems from Craig Barton @mrbartonmaths

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Since I started teaching three years ago, I've been well aware of the problems of traditional textbook exercises when introducing a class to a new concept, procedure. More often than not, textbook exercises became far too varied too quickly, with pupils becoming quickly unstuck, and it became difficult to identify the source of their confusion. Alternatively, it felt as though I was presenting students with 'just more practice of the same', which was deeply unsatisfactory (regardless of the prior attainment of the pupils).

Hence (and I am hugely indebted to Mr Barton and his book), creating sequences of intelligent, minimally varied practice questions seemed a reasonable step. When they are used to introduce pupils to a topic, they enable pupils to make connections and really focus on the underlying concept. The ones presented here are very much initial attempts - they are not a perfect model of how to write minimally varied exercises. All the same, I hope you find them of some use!

I am contactable at fortyninecubed (at) gmail . com, or on Twitter at @fortyninecubed.

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Since I started teaching three years ago, I've been well aware of the problems of traditional textbook exercises when introducing a class to a new concept, procedure. More often than not, textbook exercises became far too varied too quickly, with pupils becoming quickly unstuck, and it became difficult to identify the source of their confusion....

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In 2016, I attended #MathsConf7 in Leeds. The outcome? A to-do list longer than my arm as I intended to create a textbook of exercises of increasingly difficult questions to improve upon the standard textbook diet that we in the UK feed from. 's 'Best New Resources' ahead of EdExcel's materials to support the new GCSE.
Resourceaholic.com
In February 2020, Craig Barton announced me as 'the master of fluency practice' for these resources.
In April 2017, IDQs was announced as

In between these two times, I've had a promotion at work, a difficult time with a beloved family pet and a new arrival (Elizabeth Taylor, who is now 'not so new'), so time hasn't really been something that I've been accustomed to ...

... but I had turned my attention to randomising the Increasingly Difficult Questions as part of an eTextbook. A sample is available here and any feedback is absolutely welcome.

Anyway... Here are the sets of Increasingly Difficult Questions. I hope they're useful.

LEVEL 2 FURTHER MATHEMATICS

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In 2016, I attended #MathsConf7 in Leeds. The outcome? A to-do list longer than my arm as I intended to create a textbook of exercises of increasingly difficult questions to improve upon the standard...

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This website is my attempt to assemble a collection of high-quality, sequences of questions and examples using key principles from Variation Theory. By holding key features between questions and examples constant, together with the mathematical behaviour that I call Reflect, Expect, Check, Explain and the supporting role of the teacher, I believe we can help students better understand key mathematical ideas.

You can find out more about the site and the different types of sequences available by visiting the Introduction.

You can access all the sequences of questions and examples from the Topics menu above.

My 2020 book, Reflect, Expect, Check, Explain: Sequences and behaviour to enable mathematical thinking in the classroom, goes into detail about making the most of these activities in the classroom. You can order the book from Amazon, John Catt, or wherever you get your books.

My 2023 book, Tips for Teachers: 400+ ideas to improve your teaching, details my most recent thoughts on using these sequences effectively. You can order the book from Amazon, John Catt, or wherever you get your books.

I have an online course store which offers low-cost, high-quality CPD on-demand. Each course contains short videos, resources, research, activities and questions to reflect upon. The courses most suited to the sequencers on the Variation Theory website are:

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Sequences and behaviour to enable mathematical thinking in the classroom - by Craig Barton @mrbartonmaths

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GCSE Maths past papers and marking schemes, from AQA, Edexcel, Eduqas, OCR, WJEC, CEA and CIE. Free to Download. This section also includes SQA National 5 maths past papers.

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Take a look at the short video tutorials to help you over the difficult concepts that you may find when doing GCSE maths.

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When you visit or interact with our sites, services or tools, we or our authorised service providers may use cookies for storing information to help provide you with a better, faster and safer experience and for marketing purposes.

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MME is a leading examination provider. You can sit Ofqual regulated functional skills and GCSE exams as well revise maths, English and Science.

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All the latest prediction/best guess papers and checklists for this Summer's exams.

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Get access to files anywhere through secure cloud storage and file backup for your photos, videos, files and more with Google Drive.

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Resources for students and teachers

This site has been designed to help with primary and secondary school maths. Although the site is in its infancy, there are already a wide variety of resources that are aimed at students who are starting to learn maths in the early primary school years, through to students aiming for top grades at GCSE... and more are being added all the time.

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Highly rated by teachers and students, these free maths resources have carefully thought out questions and detailed solutions. They are designed to make it easy for students to take the first steps in each topic, then strengthen and extend their knowledge and skills. The resources include revision questions for KS2 SATs and GCSE.

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Linear Sequences and Factors Year 11 Revision Topics connect-qsDownload

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SKILLS CHECKS - free samples

Weekly skills checks and record sheets for Key Stage 1 and Year 4 to Year 13.
6 Different 'levels' for Key Stage 4

Great value for money with a school subscription costing only £60 +VAT for 12 months.
Single user subscriptions for individuals also available for only £35 + VAT for 12 months

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SKILLS CHECKS - free samples Great value for money with a school subscription costing only £60 +VAT for 12 months. Single user subscriptions for individuals also available for only £35 + VAT for 12 months

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The latest entries posted on Interwoven Maths

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The Zeta Club is an maths enrichment club for Tiffin students, with a particular focus on the Olympiads and Maths Challenges. Details are below.

Junior (Years 7-8)

Intermediate (Years 9-10)

Where: Room 57
Who with: Dr Frost
When: Wed/Thur at 1.05pm (pick either day)

UKMT Database

You can browse the UKMT database by topic here: https://www.drfrostmaths.com/browse.php?mode=ukmt and by paper here: https://www.drfrostmaths.com/worksheets.php?author=ukmt. Teacher accounts can export collections of these questions to Microsoft Word.

Junior Maths Challenge

All are harder questions from past JMCs, i.e. Q16-25, the point at which points are lost for incorrect answers. The topics for these questions are somewhat more evenly distributed than in the geometry-heavy IMC: within the 2004-2012 papers (Q16-25 on each paper), 14 were geometry, 22 number (ratios, time, numerical calculations, etc.), 5 number grids (filling numbers into structures according to some constraint), 23 on Number Theory (problems relating to integers: remainders, factors, digits, etc.), 20 on 'spatial reasoning', and 6 on non-applied algebra. These questions below are categorised according to these by topic to help you hone in on particular skills. Please contact me for answers.

Junior Maths Olympiad

Again, questions are categorised by topic, and 'fact sheets' provide key theory and tips for each of these topics. Section B advice I've written can be found here.

Sample student solutions can be found here.

Junior Mentoring sheets

You can find these here: www.ukmt.org.uk/mentoring/junior. An index of these questions by topic can be found here.

Intermediate Maths Challenge

All are harder questions from past JMCs, i.e. Q16-25, the point at which points are lost for incorrect answers. I've categorised these by topic to hone in on particular skills. The ratio of (harder) question types for 2004-2012 is somewhat interesting: 38 were geometry, 16 were some kind of 'spatial reasoning' (paths through networks, rotating objects, etc.), 16 were general number problems (e.g. ratio, time, density, etc.), 14 'number theory' problems (involving integers, primes, digits, etc.) and just 6 non-applied algebra. As with the Olympiad, clearly the key to a high score is to master the geometry problems, many of which follow a similar approach. Please contact me for answers.

Intermediate Maths Olympiad

Again, questions are categorised by topic, and 'fact sheets' provide key theory and tips for each of these topics.

The breakdown of questions across a 8 year period: 59 Geometry questions, 28 Number Theory, 25 (non-applied) Algebra, 13 Spatial Reasoning/Logic, 6 Number Grids, 5 Speed/Distance/Time questions, 4 Sequences and just 1 Probability. Obvious conclusion: concentrate preparation on Geometry!

Because of this, I've prepared an extra worksheet involving finding difficult areas and lengths: Geometry Challenge Worksheet.

Intermediate Mentoring sheets

You can find these here: www.ukmt.org.uk/mentoring/intermediate. An index of these questions by topic can be found here.

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The Zeta Club is an maths enrichment club for Tiffin students, with a particular focus on the Olympiads and Maths Challenges. Details are below. Where: Room 57 Who with: Dr Frost When: Wed/Thur at 1.05pm (pick either day) You can browse the UKMT database by topic here: https://www.drfrostmaths.com/browse.php?mode=ukmt and by paper here: https://www.drfrostmaths.com/worksheets.php?author=ukmt.

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Unfortunately, my father Don Steward passed away from Covid-19 on 3rd May 2020.

Throughout his working life he was passionate about improving the teaching of mathematics and has requested that all of his work remains freely available.

As per his wishes, I have uploaded all of his work to this Blog in the pages section which contains links to google drive where slides and presentations can be downloaded for free.

Don has also requested that those who use his work make a discretionary donation to charities supporting education in Africa.

We have set up a Justgiving fundraising page to support this wish below:
https://www.justgiving.com/fundraising/jessesteward

Many thanks for all of the kind messages we have received which are of great comfort to myself and the family.

Kind regards,

Jess

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ideas and resources for mathematics teachers of 10 to 16 year olds

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More information and download

Ski Slope Learning

What is Ski Slope Learning and why use it? Every student learns at different rates and has different strengths. Ski slope learning allows for students to get to the same end result from different starting points.

If you think about ski slopes there are several different degrees of difficulty, with green being the easiest and black being the hardest, however no matter which route you take you always get to the bottom of the slope. Applying this method to a structured lesson environment allows pupils to work at their own individual paces and has differentiated routes to ensure all pupils achieve the learning objective. The ski slope method also provides opportunity for pupils to work independently and allows for rapid progressions.

When it comes to the black slope, it's a place where you can challenge pupils to think outside of the box and apply the knowledge in new ways. This will help stretch and test the most able (G+T) students understanding and comprehension of a topic.

How to introduce Ski Slope Learning

There are two different ways in which I use Ski Slope Learning.

1. PowerPoint Method

The first is through power point. As you can see on the page before there is a list of columns where I break my questions up into the stepping stones to achieve the learning objective.

I allowed the pupils to decide their own route and starting point. However they needed to be in the red column at least by the end of the lesson. It is a good way to clearly show progress in lessons by levelling individual columns.

This took a while to train my classes not to do every question in each column and to also make sure pupils didn't deliberately try to avoid the harder questions. Once the pupils are trained, they are able to take responsibility for their own learning and progress at a pace personalised to their own learning.

2. Worksheet Method

For this second method I created a series of levelled worksheets for a given lesson, some I provide more structure and guidance than others. For example fill in the gap questions to begin with. This can easily be replicated in other subjects when looking at the amount of support you can give a pupil in writing structures.

For this method I don't always have four worksheets, for some classes only two is necessary while other more mixed ability classes' four sheets are necessary.

It is important to note that the difference in this method is that the routes are is pre planned out for the pupils. It allows the teacher to make sure all pupils are challenged appropriately. I try to pre plan who will receive which starting point work sheet before the start of the lesson, however this can often change depending on the success a student has made at the beginning of a lesson.

(If I am getting observed I will often print the different worksheet out on coloured paper to allow the differentiation and challenge to be clearly visible to an inspector.)

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NumberAlgebraGeometryData Handling Maths Murder Investigation A fun and exciting maths task where students have to find who is the murderer by completing a series of algebra and numerical problems to eliminate the 10 suspects. Throughout the activity students have to justify why they are eliminating suspects bringing a strong element of literacy into the task.

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Free math problem solver answers your algebra homework questions with step-by-step explanations.