The post Iteration Card Match: TES Maths Resource of the Week appeared first on Mr Barton Maths Blog.

]]>**What is it?**

Unlike something like Venn Diagrams, Iteration is one of the new GCSE Maths topics that will literally be completely brand new to many students. My Year 11s were freaking out at the little “n + 1” subscript, staring at it with a mixture of contempt and confusion. So, any resource that will help with the delivery of Iteration is always going to go down well with me, and this is a little beauty! Students are presented with three classic iteration questions, together with the steps necessary to solve them. The twist, of course, is that these steps are in the wrong order, and students must battle through to assemble them correctly. This should provoke plenty of discussion, whilst also offering much needed support for any students who are struggling.

**How can it be used?**

The activity pretty much runs itself. Students will need an introduction to the concept of iteration, and maybe benefit from you going through one example, but then they can be left to their own devices! It also makes for a nice display, either for the classroom wall or students’ books. Indeed, @MrMattock on Twitter shared a lovely image of the results of his class’ efforts with the activity.

There is also potential for a nice bit of extension. Options could include giving students all 3 questions mixed up together, taking out a couple of the cards and asking students to complete them, and the evergreen classic of challenging students to create their own match-up questions which can then be set for other students.

Thanks so much for sharing

Craig Barton

**Download Iteration Worked Solution Card Match**

**View the author’s other resources
**

The post Iteration Card Match: TES Maths Resource of the Week appeared first on Mr Barton Maths Blog.

]]>The post Transforming Functions: GCSE Maths Question of the Week (Higher) appeared first on Mr Barton Maths Blog.

]]>The latest edition of my **GCSE Maths Question of the Week** series is a lovely Transformation of Functions question provided exclusively for my **Diagnostic Questions** website by Edexcel. However, the content is suitable no matter which exam board you are following.

Here is one suggestion for using this resource:

- Print out the worksheet for use as a starter in lessons, or a homework.
- Discuss your students answers and explanations, their reasons for the incorrect answers, and their choice of alternative wrong answers
- Use our data analytics to see how the rest of the country performed on this question, and view alternative student explanations
- Set your students the entire quiz that this question comes from as a follow-up activity
- Direct your students to the Topic section on my website, where they will find videos, worksheets and extension material on this topic.

All of this is free.

At our school we are using this once a week with our Year 11 classes. I really hope you and your students find it useful.

**Get extra help on Transformation of Functions**

Try the **Question online**

View the **Question Data and Explanations**

Try the **Quiz ****online**

View the **Quiz Data**

For all the questions in this series, please visit my **GCSE Maths Question of the Week **page.

The post Transforming Functions: GCSE Maths Question of the Week (Higher) appeared first on Mr Barton Maths Blog.

]]>The post Best of 2016: TES Maths Resource of the Week appeared first on Mr Barton Maths Blog.

]]>This time each year I complete my countdown of my top 10 favourite Resources of the Year. And this year, it has been more difficult than ever to choose, due to the amazing quality of some of the resources written and shared by the incredibly talented and generous members of the TES Maths community. In fact, it was proving so difficult that I have had to go for a top 12!

Thanks so much to everyone who shares resources on TES. You are making a huge and positive difference to the teaching and learning of mathematics all over the world. Here’s to another year of wonderful resources on TES Maths!

Craig Barton, TES Maths Adviser, @mrbartonmaths

**12. Cubic graph match-up**

In this tricky task, students match 21 cubic equations to 21 sketches of cubic graphs. By the time they’re done, the GCSE exam will seem like a breeze and they will be far better prepared for the demands of co-ordinate geometry at A-level.

**11. GCSE problem-solving activity**

Unstructured problems are likely to feature in the new exams, so it’s important to get pupils practising as early as possible. In this example, learners must call upon their knowledge of basic trigonometry, surface area, circumference, ratio and Pythagoras to find the solution.

**10. Proportion and golden ratio**

Complete with an engaging starter, accompanying notes and a clear worksheet, this lesson offers a unique take on an old concept. Pupils use the golden ratio to judge the “beauty” of some well-known faces.

**9. Quadratic equations practice**

Within the 73 slides of this well-structured, challenging presentation, you’ll find both instruction and rich questions (including answers) on all aspects of solving quadratic equations, from factorising and using graphs to completing the square and calculating with formulae.

**8. Four quick questions**

Containing over 200 sets of four questions on number, algebra, geometry and data, this extensive revision resource is ideal for encouraging a focused, efficient start to KS3 and KS4 lessons.

**7. Multistage problem solving**

Although this comprehensive resource was designed for the legacy GCSE specification, it is actually more relevant to the new one. There are a host of multi-mark questions on a variety of topics, including angles, currency conversions and even one about paving over an awkward-shaped garden.

**6. Algebraic graphs**

Covering everything from straight line graphs to quadratic and cubic graphs, this detailed unit of work offers a complete set of high-quality presentations, worksheets and homework activities.

**5. Grid sums puzzle**

Encourage creativity and perseverance while developing arithmetic skills with these simple and adaptable puzzles, suitable for classes of any age and ability.

**4. Pythagoras and trigonometry questions**

Quickly generate a wide range of questions on 2D Pythagoras and trigonometry with this clever spreadsheet. Mix it up by using a random selection to get students choosing the appropriate method first.

**3. Going for gold problem solving**

Perfect for revision, this series of ten lessons helps learners to ascertain how ready they are for their exams. For each topic, learners attempt consolidation questions before moving onto more challenging ones, which come with different levels of support and corresponding “exam-readiness” percentages.

**2. Handy homework booklets**

These comprehensive workbooks enable you to set an entire year’s worth of homework for your KS3 and GCSE classes. Each task consists of 20 questions covering essential skills such as adding fractions, rearranging equations and naming parts of a circle, as well as a tracking grid.

**1. New GCSE revision workbooks**

Useful for both teachers and pupils during revision sessions, these targeted booklets take a clear, systematic approach to each topic within the new GCSE specification.

The post Best of 2016: TES Maths Resource of the Week appeared first on Mr Barton Maths Blog.

]]>The post Free Revision Streams for GCSE, Primary and IB Maths appeared first on Mr Barton Maths Blog.

]]>Here at **Diagnostic Questions** we like to try and help out wherever we can. So, we have set up a series of **Revision Streams** for you and your students in the build up to these exams. These are completely free, can be assigned with a couple of clicks, and mean that your students will be sent two top-quality questions a day, every day, right up until the exam.

Students can answer these questions on their phones, tablets or a computer. This year it is easier than ever for them to keep on top of the daily Streams with our **Diagnostic Questions mobile app**. Students can answer questions on the bus, after their dinner, just before they go to sleep, wherever they prefer. And you can be happy in the knowledge that your students are receiving the continual daily practice that is the key to success in maths.

Each time you log into the site you can see how your students are getting on. Which questions are causing the most problems? Which topics do you need to go over again? Which students should you pair together? Which would benefit from intervention? The answers to these questions could be invaluable.

So, which Streams are available, I hear you say? Well, this year we have gone all out!

Primary

Courtesy of the amazing **White Rose Maths Hub**, we can offer the following 100 day Revision Streams, both starting on the 30th January:

*Key Stage 1 SATs*

*Key Stage 2 SATs*

GCSE

Courtesy of the awarding bodies, we have the following 100 day Revision Streams, each starting on 14th February (nothing says romance quite like two maths questions a day):

*AQA Foundation and Higher*

*Edexcel Foundation and Higher*

*OCR Foundation and Higher *

*WJEC Welsh Numeracy GCSE*

IB

Thanks to Adrian Sparrow from **Aiglon School**, we also have the following 50 day Revision Streams, both starting on 5th March:

*IB Maths Studies*

*IB Standard Maths*

These Streams can all be assigned right away by the click of a button so you are set-up and ready to go. I have recorded a short video below to show you how to get set-up here, and click **here** to jump straight to the **Streams page**.

And if you are reading this after the Start Date for your Stream has passed, then fear not! You can join in with the Streams at any stage.

If you are new to Diagnostic Questions and you would like us to upload your classes for you, then it is no problem at all. Simply send an email to hello@diagnosticquestions.com attaching a spreadsheet with your students’ names and classes (you can specify usernames and passwords if you like too, or we can generate them for you), and we will get them sorted.

I really hope you and your students find this useful

Craig

The post Free Revision Streams for GCSE, Primary and IB Maths appeared first on Mr Barton Maths Blog.

]]>The post Coordinate Geometry Cards: TES Maths Resource of the Week appeared first on Mr Barton Maths Blog.

]]>To see all of the work I do for TES Maths, including Resource of the Week, **Inspect the Spec**, Maths Newsletters and Topic Collections, please visit the **TES Maths Blog here**

**What is it?**

Often one of the topics new AS Maths students find the most challenging is Coordinate Geometry. The problem is that they have studied all the basic skills needed at GCSE, so some students do not tend to approach the topic with maybe the same concentration as they maybe would with something new , like differentiation or integration. But whilst the basic skills of Coordinate Geometry are undoubtedly the same as at GCSE (find gradients, midpoints, etc), the demands of applying them in a range of contexts are significantly more difficult at AS level. This lesson, made up of tasks and activities, enables students both to fully appreciate the complexity, and approach the topic in a challenging but engaging way.

**How can it be used?**

The lesson is really well structured. The starter is straight out of GCSE, and serves to remind students of the core skills they need to know. Following on from this, you might want to make the handy printed notes available to the students, as these cover all the core skills they need. And then it is all about application! I would be tempted to get students working in groups, and to hand them one oy my favourite lesson tools – a Desmos Counter! This can be exchanged at any stage for 2 minutes on Desmos, which will enable students to visualise and manipulate the coordinates and lines to hopefully make the concepts less abstract. And then, of course, fire up Desmos when going through the answers. A really lovely, important lesson.

Thanks so much for sharing

Craig Barton

Download **Coordinate Geometry Cards**

View the **author’s other resources**

The post Coordinate Geometry Cards: TES Maths Resource of the Week appeared first on Mr Barton Maths Blog.

]]>The post Tom Bennett – Behaviour, Teacher Workload and ResearchEd appeared first on Mr Barton Maths Blog.

]]>Among many other things, Tom is a former Religious Studies teacher, a prolific **blogger**, the Behaviour Advisor to the UK Department of Education and the founder of **ResearchEd**. He also has the notable honour of being the first ever non-maths specialist guest on the show, although you would never know it with his impressive recollection of the digits of Pi.

In a wide ranging, interview we covered the following things and more:

- Why, despite a previous career managing nightclubs in Soho, Tom still found behaviour management the trickiest part of becoming a teacher
- Why being told “you need to work on your status”, or “you need to get the students to respect you”, is an absolute waste of time
- How Tom agrees that workload and behaviour are the two main reasons teachers leave the profession, and why he feels both can be fixed
- Why Tom’s “Two Schools” theory can go a long way to explaining the workload problem that affects many schools, and what is the responsibility of senior management when it comes to workload?
- What does Tom think makes a bad homework as opposed to a good homework, and what can everyone do about this?
- How would Tom improve meetings in school with one simple, quite brilliant strategy?
- We then move onto the Big One: what are the most practical, effective things teachers can do to improve behaviour in their classrooms?
- Tom feels classroom culture is incredibly important. How does he establish it, and what happens when students break this culture?
- How can classroom teachers promote positive behaviour, as opposed to simply condemning negative behaviour?
- Is consistency the key to behaviour, or should you treat some children differently to others?
- A big issue for me: is it just as dangerous to be inconsistent when focussing on good behaviour as well as bad behaviour?
- How about the teacher who midway through the year thinks they have already lost their class? How do they get them back?
- What can supply teachers, temporary teachers, or even regular teachers covering a single lesson, do to instill the classroom culture that they expect when you don’t have the benefit of long period of time to establish it?
- I throw a few behaviour cliches at Tom to see what his take on them is. Don’t smile until Christmas, anyone?
- What’s the best bit of research and what is the most surprising piece of research Tom has come across, and what one of these has to say about direct instruction.

I am obviously ridiculously biased, but I hope you will agree with me that this interview is essential listening for any teacher, no matter what their age or experience. On a personal level, it made me feel like I was not alone in some of the struggles I have had with my classes over the years, and I now feel a lot more equipped with practical, tried and tested strategies to get behaviour back on track.

If this interview has hooked in any fellow non maths specialists, then I would just like to remind people that over at my **Diagnostic Questions website** you will find not just maths questions, but also thousands of top-quality, free **Science** and **Computer Science** questions, as well as growing numbers in subjects like **English **and **Languages**. And just so the maths crew do not feel left out, February 14th 2017, as well as being a day of romance, will also mark the start of the 100 day GCSE Maths Revision Stream at Diagnostic Questions. This will be 100% free, and you can sign up by following this link: **https://diagnosticquestions.com/Streams**. There will also be two Primary Streams for Key Stage 1 and 2 Maths SATs, and two IB Maths Streams. What better present for your loved one than 2 maths questions a day for 100 days – it truly is the gift that keeps giving.

Tom’s Blog is: **behaviourguru.blogspot.co.uk**

On Twitter Tom is: **@tombennett71**

The DfE ITT Working Party document that Tom mentions can be found **here**

Project Follow Through can be found **here**

Tom Bennett’s Big 3

1. **Becoming a Research Lead**

2. **The Science of Learning – Deans for Impact**

3. **ResarchEd**

Thanks so much for listening, and I really hope you enjoy the show!

Craig Barton

I am a maths teacher, currently teaching at Thornleigh Salesian College, Bolton, UK. Here are links to some of my work:**mrbartonnmaths.com**

The post Tom Bennett – Behaviour, Teacher Workload and ResearchEd appeared first on Mr Barton Maths Blog.

]]>The post Probability of Combined Events: GCSE Maths Question of the Week (Higher) appeared first on Mr Barton Maths Blog.

]]>The latest edition of my **GCSE Maths Question of the Week** series is a lovely Combined Probability question provided exclusively for my **Diagnostic Questions** website by OCR. However, the content is suitable no matter which exam board you are following.

Here is one suggestion for using this resource:

- Print out the worksheet for use as a starter in lessons, or a homework.
- Discuss your students answers and explanations, their reasons for the incorrect answers, and their choice of alternative wrong answers
- Use our data analytics to see how the rest of the country performed on this question, and view alternative student explanations
- Set your students the entire quiz that this question comes from as a follow-up activity
- Direct your students to the Topic section on my website, where they will find videos, worksheets and extension material on this topic.

All of this is free.

At our school we are using this once a week with our Year 11 classes. I really hope you and your students find it useful.

**Get extra help on Combined Probability**

Try the **Question online**

View the **Question Data and Explanations**

Try the **Quiz ****online**

View the **Quiz Data**

For all the questions in this series, please visit my **GCSE Maths Question of the Week **page.

The post Probability of Combined Events: GCSE Maths Question of the Week (Higher) appeared first on Mr Barton Maths Blog.

]]>The post Area Maze Problems: TES Maths Resource of the Week appeared first on Mr Barton Maths Blog.

]]>To see all of the work I do for TES Maths, including Resource of the Week, **Inspect the Spec**, Maths Newsletters and Topic Collections, please visit the **TES Maths Blog here**

**What is it?**

Two for one this week. Two resources from the same author, that I absolutely love. 20 lovely Area Mazes! I got a bit addicted to Area Mazes myself at the start of 2016 having seen a feature about them in the news. The latest maths craze from Japan, apparently. I remember one Sunday afternoon where I sat down to do one on an app, and 3 hours later I was on Level 72 and seeing rectangles and squares everywhere I looked!

Area Mazes are suburb. On the face of it they are so simple. Students have to use logic and geometrical knowledge to work out the missing dimensions on a variety of rectangles. We rather skeptically tried a few of them with our Year 8s last year during the area unit last year, and they absolutely loved them! Seriously, they could not get enough of them. There is something about the apparent simplicity that captivates students.

**How can it be used?**

The beauty of an Area Maze is it does not take much explaining. I ran through one example on the board with my students, brain-storming different ideas for approaching them, and then letting them get stuck in, telling them that they needed to convince me of their answers with some working out to show they had not just guessed. Pretty soon we were frantically searching the internet for more challenging ones, and students were keen to take them home to show their parents. If your students do take to them, then there is also the option to challenge them to create their own, with any many rectangles as they like.

Thanks so much for sharing

Craig Barton

Download **8 Area Maze Problems**

Download **12 Area Maze Problems
**View the

The post Area Maze Problems: TES Maths Resource of the Week appeared first on Mr Barton Maths Blog.

]]>The post TES Maths ROTD: December 2016 appeared first on Mr Barton Maths Blog.

]]>Here are my December selections. Just click on the resource description to download it.

And of course, all the resources selected are completely free. You just need to register on the TES website to download them. And as ever, a huge thank you to all the teachers who share resources. You make TES what it is

1st December: A nice way to practice key numeracy skills working with money

2nd December: A fantastic standard from planet activity with answers!

3rd December: A lovely pair of resources covering key GCSE area and volume formulae

4th December: Practice key skills through this problem solving codebreaker!

5th December: I love this odd-one-out format. So versatile!

6th December: A great set of questions to help develop fluency was AS coordinate geometry

7th December: Something a bit different! A lovely bird watching resource from the RSPB!

8th December: “10 a day” is a really simple, effective way of improve students’ maths vocab

9th December: A superb, comprehensive introduction to simultaneous equations

10th December: If your students are taking the AQA Decision 1 module, this is ideal!

11th December: A lovely set of activities for visualising and working with nets of cubes

12th December: This excellent data handing activity covers all the averages in an engaging way

13th December: A fantastic selection of questions on adding & subtracting directed numbers

14th December: A lovely open-ended activity to investigate straight lines

15th December: A classic Bowland mini data tasks gets a 2016 update

16th December: A colourful poster of facts about the divisibility of large numbers

17th December: A useful lesson on converting speeds to different formats

18th December: An outstanding maths mystery that covers key aspects of basic numeracy

19th December: “Around the World” is ram-packed full of fun, mathematical goodness!

20th December: If you’ve not constructed your own decorations, you’ve never lived!

The post TES Maths ROTD: December 2016 appeared first on Mr Barton Maths Blog.

]]>The post Secrets and Mince Pies appeared first on Mr Barton Maths Blog.

]]>It is the story of a family in the four days leading up to Christmas, all of whom have a secret to hide. And there isn’t even any maths in there. Well, not too much any way.

*Secrets and Mince Pies* is available in **paperback** and **Kindle** from **Amazon**, and a sample of the first couple of chapters can be found below.

Monday 22nd December

Chapter 1

There were few people in the world who annoyed John more than Cliff Richard. Graham Norton was certainly up there, and so too were Richard Madeley and that bloke off the Halifax adverts. But what made Sir Cliff stand out head and shoulders above all the others, was that he had been consistently annoying John for over four decades. There were several reasons for this. There was his hair, his voice, his unnaturally orange skin. There was that video where he was prancing around on roller-skates, and that brown leather jacket he insisted on wearing everywhere. There was his name, which was rather appropriate, thought John, as he wanted to throw himself off one every time he heard one of Cliff’s records. There was the fact he turned down Sue Barker at her peak, and of course who could forget the day God took his revenge on tennis lovers and the whole of mankind in general by making it rain at Wimbledon and allowing good old Cliff to get his hands on a microphone. If only Cliff had gone on his Summer Holidays and stayed there, thought John, the world would be a far better place.

And right now, Cliff was up to his old tricks again. John was trying his very hardest to concentrate. He knew he had to if he was to have any chance of salvaging what was turning out to be a pretty desperate situation. But how could John’s brain be expected to function normally with the sultry sounds of Sir Cliff seeping out of the speakers and invading his ears?

Even for Cliff, thought John, this was a low point. As far as John could tell, he had nicked the words of a well known prayer, combined them with the music to that stupid song everyone sings at New Year, and chucked the word “Millennium” into the title to make it somewhat topical. And as a result he had got to number one, made a shed load of money, snapped up a few more brown leather jackets, and in the process ruined the Christmases of millions of people around the world. John wondered if EMI would be interested in his own musical endeavour – “A Hymn for 2004”: the words of Hail Mary set to the tune of the Prodigy’s Smack My Bitch Up.

Anyway, enough of that. John had to concentrate. He was in trouble. A few moments ago, Bradley had confidently scooped up all seven of his letters, arranged them neatly on the board, and in response to his father’s bemused face, announced:

“QUASSIN, as in the medical compound obtained from the wood quassia. And that’s on a double word, and it also makes QI, the vital force that in Chinese thought is inherent in all living things, and UP, as in the opposite of down… so it’s eleven points for QI, five for UP as the U is on the double-letter, seventeen doubled is thirty-four for QUASSIN, plus the fifty point bonus for using all seven of my letters, makes… one hundred points. Which moves me onto three hundred and eighteen, and you are on sixty-five. Your go Dad”.

John again looked down at his letters. He had six vowels and an L. He didn’t think his son would accept “AAAOOEL”, even if it was the exact sound he wanted to scream at the top of his voice right now.

Still, thought John, as he carefully placed his A, L and E after his son’s S to pick up a handy four points, if being serenaded by Cliff Richard whilst being comprehensively destroyed at Scrabble by his ten year old son was the only thing worrying him this Christmas, John would have been a very happy man indeed.

Unfortunately, it wasn’t.

Chapter 2

The voice came from out in the hallway, but it managed to creep its way underneath her locked bedroom door like an unwelcome intruder.

“Gemma, can you please get off the phone!”

“One second, babe… yes Mum, just give me five minutes, for God’s sake!”

“You said that an hour ago. Come on love, I need to call your Auntie Lorna”

Gemma pretended not to hear and instead pulled her blanket right up to her chin and started wrapping her long, recently dyed hair around the index finger of her spare hand.

“Sorry about that babe, just the old parentals again. I wish they would just chill out”

“Have you told them yet?”

“Babe, we’ve been on the phone for almost two hours. Don’t you think I would have mentioned something about it if I had told them? Anyway, we agreed we’d tell them together, remember?”

“No, I don’t mean that, I mean have you told them that I am coming for Christmas?”

Gemma’s nose was itching, but her finger was too entwined in her hair for a quick release. She struggled to get it free, and ended up pulling out a few hairs in the process causing a sharp pain to dance across her head and a small tear to appear in her eye.

“Ow!…Yes, I told them this morning”

“What did you say?”

“I said: Mother and Father, the person who is screwing your daughter is coming to stay with us for Christmas, so that he and I can screw right through the festive season and into the New Year. Here are some earplugs, you are sure going to need them”

“And what did you really say?”

Gemma smiled to herself.

“I said: Mum and Dad, would it be okay if my darling boyfriend Matt came to stay with us over Christmas? His parents have gone away on business, all his family are abroad and he has nowhere else to go. He can sleep in the spare room, and he is very good at washing up and making cups of tea”

“The spare room?”

“Yes, but don’t worry, babe. I know where all the creaky floorboards are and how to avoid them. Let’s just say that you are not the first male guest to have stayed over in the spare room”

Matt did not reply, and Gemma immediately regretted what she had said. She had to remember that Matt wasn’t like all the other boys. He was a keeper, and the last thing she wanted to do was to drive him away.

“Anyway, Mum was a bit funny about it at first, and she and Dad asked me to go out of the room for a bit while they discussed it – I think they must have picked up that technique from some TV show, or something – and then about five minutes later they called me back in and said it was okay, so long as we respected The House Rules”.

“So, you’re sure it’s okay?”

“Chill out, babe, it’s totally fine, honest. They’ll love you, just like I do”

Gemma smiled again. Matt wasn’t the first boy she had used the L-word to, but he was certainly the first for whom she meant it.

“And when are we going to tell them about… you know, the other thing?”

Gemma looked out of her window. She could see the road below lit up by the soft orange glow of the street lamps, and above it a world full of stars.

“I don’t know, babe, I don’t know”

The post Secrets and Mince Pies appeared first on Mr Barton Maths Blog.

]]>The post GCSE Maths 20 Topic Revision Plan appeared first on Mr Barton Maths Blog.

]]>So, along with the **Academies and Enterprise Trust**, I have devised a 20 Topic Revision Plan. This is predominantly aimed at students taking the Higher Tier, but many of the units directly cross-over to Foundation. The questions have been written by Edexcel, but are equally suitable if your students are taking AQA or OCR. The focus is on securing the basics – so, whilst you won’t find any quadratic inequalities or inverse functions, you will find wide coverage of all the key algebraic, geometrical, numeric and statistical skills that students are likely to need to secure a Grade 6 and above.

I have arranged this Revision Plan into a 20 week Scheme of Work, with each week containing one topic. You can start this when you want, easily manipulate the order of the topics with simple drag and drop, and then assign it to your classes with a couple of clicks. Once you have done this your students will receive a quiz every Friday to complete over the weekend based on that week’s topic. Three weeks later they will also receive a follow-up quiz based on that topic to see if their understanding is secure. All quizzes are automatically marked, students can answer them on our **free student mobile app**, and you will benefit from a deep insight into their areas of strength and weakness.

You might be thinking: this sounds great, but I bet it is a right pain to set up. I promise you it is not. Three minutes at most! I have recorded a short video showing you how easy it is here:

And should you want a preview of the quizzes, or even to set them independently to this revision plan, then here they are:

**Calculations, Rounding and Indices**

**Factors, Multiples, Primes, Standard Form & Bounds**

**Basic Algebra**

**Inequalities and Brackets**

**Sequences**

**Coordinates and Real Life Graphs**

**Linear and non-Linear Graphs**

**Fractions and Percentages**

**Ratio and Proportion**

**Multiplicative Reasoning**

**Direct and Inverse Proportion**

**Angles and Polygons**

**Pythagoras and Trigonometry**

**Perimeter, Area and Circles**

**Transformations**

**Similarity and Congruence**

**Averages and Scatter Graphs**

**Cumulative frequency, Box Plots and Histograms**

**Probability**

**Collecting Data and Sampling**

I really hope you and your students find them useful.

The post GCSE Maths 20 Topic Revision Plan appeared first on Mr Barton Maths Blog.

]]>The post John Corbett – Flipped Learning, Videos and Corbett Maths appeared first on Mr Barton Maths Blog.

]]>John has been a maths teacher for 11 years, and is better known the world over as the man behind the ridiculously incredible **Corbett Maths** – the home of hundreds of free videos, practice questions, textbook exercises, revision materials and more.

In a wide ranging, interview we covered the following things and more:

- How does John introduce pi via the medium of a baguette?
- How does John prepare and deliver a lesson using the Flipped Learning approach? Now, I feel Flipped Learning is a concept that does not get discussed all that often these days, and it is absolutely fascinating hearing John talk about the planning process, the logistics, the technology, what happens before the lesson, what happens in the lesson, what John perceives as the numerous benefits to Flipped Learning, and what advice John has for teachers wanting to try this out.
- John tells us about his amazing 5-a-days, where the idea came from, and how exactly he uses them with all his classes
- We delve deep into why John started recording videos, how Corbett Maths has grown, and he describes exactly how much work goes into preparing and recording a video – and it is quite a surprise, I can tell you!
- How has creating videos made John a better teacher, and why he would advise every teacher to record a video?
- John explains about his Practice Questions and Textbook Exercises, and how he manages to write so many original questions
- We talk about John’s GCSE Revision Cards, and after you have heard how much work John does, and how good these are, you will be ordering them up
- And just before he talks about his Big 3, John describes what he he wishes he had known when he started teaching

Now, this is yet another epic interview, and unless you are stuck in some serious traffic you might need to digest it in a couple of sittings. But I am so happy that people are seeing these interviews as really useful CPD. I know I am learning so much myself from my guests, and I hope you are too.

As ever, just a reminder to check out the most recent developments of **Diagnostic Questions** – including our lovely GCSE Maths Collections for **Edexcel**, **AQA** and **OCR,** and our student **mobile app** – and over at **Mr Barton Maths**, where I have updated my **Topic Page** to make it even easier to find rich tasks, worksheets, complete lessons, interactive resources and probing questions for every single maths topic, and my popular **GCSE Maths Takeway** page for the new specification.

John’s website (as if you didn’t know) is **corbettmaths.com**

On Twitter John is **@CorbettMaths **

You can find out more about John’s amazing GCSE Maths Revision Cards by watching **this video**

The the website/app John uses to collect student notes prior to his lesson is **showbie.com**

The construction website that John mention is **mathopenref.com**

Click to download the (amazing) **Pirate Game**, and the festive spin-off **The Reindeer Game**

John Corbett’s Big 3

1. **Resourceaholic **

2. **Mrbartonmaths** (I am going to go bankrupt if I keep having to pay guests to mention my site)

3. **Twitter **

Thanks so much for listening, and I really hope you enjoy the show!

Craig Barton

I am a maths teacher, currently teaching at Thornleigh Salesian College, Bolton, UK. Here are links to some of my work:**mrbartonnmaths.com**

The post John Corbett – Flipped Learning, Videos and Corbett Maths appeared first on Mr Barton Maths Blog.

]]>The post Christmas Constructions: TES Maths Resource of the Week appeared first on Mr Barton Maths Blog.

]]>To see all of the work I do for TES Maths, including Resource of the Week, **Inspect the Spec**, Maths Newsletters and Topic Collections, please visit the **TES Maths Blog here**

**What is it?**

Ho-ho-how did it get to this time of year already? With Christmas upon us, you might be tempted to do something with a festive twist in your lessons. But, if you are anything like me, you would also like to keep it mathematical. That is where Christmas Constructions comes in. With this activity it is possible to tackle one of the most challenging of all Key Stage 3 and 4 topics (constructions with compass, protractor and ruler) and sch a way that the students might actual enjoy it! And by the time they have created a tree, a star and an angel, they will be constructing champions!

**How can it be used?**

I will be honest, you might need to give your students some guidance with this one. I know I did when I tackled it with my Year 9s last year. I did a quick run through of each of the constructions they would need to use, and then I set up some help sheets around the room that had a step-by-step guide about how to construct triangles, angle bisectors and perpendicular bisectors. I also encouraged students to work together. Was it a quiet, relaxing lesson? Not at all. Was it a successful one? I hope so. The students certainly enjoyed it, and their confidence in handling protractors and compasses improved and remained high when we revisited the topic for revision later in the year. And when the main activity is finished, there is always the option to get students creating their own festive construction delights!

Thanks so much for sharing

Craig Barton

Download **Christmas Constructions**

View the **author’s other resources**

The post Christmas Constructions: TES Maths Resource of the Week appeared first on Mr Barton Maths Blog.

]]>The post Solving Equations with Surds: GCSE Maths Question of the Week (Higher) appeared first on Mr Barton Maths Blog.

]]>The latest edition of my **GCSE Maths Question of the Week** series is a lovely Equations with Surds question provided exclusively for my **Diagnostic Questions** website by AQA. However, the content is suitable no matter which exam board you are following.

Here is one suggestion for using this resource:

- Print out the worksheet for use as a starter in lessons, or a homework.
- Discuss your students answers and explanations, their reasons for the incorrect answers, and their choice of alternative wrong answers
- Use our data analytics to see how the rest of the country performed on this question, and view alternative student explanations
- Set your students the entire quiz that this question comes from as a follow-up activity
- Direct your students to the Topic section on my website, where they will find videos, worksheets and extension material on this topic.

All of this is free.

At our school we are using this once a week with our Year 11 classes. I really hope you and your students find it useful.

**Get extra help on Operations with Surds**

Try the **Question online**

View the **Question Data and Explanations**

Try the **Quiz ****online**

View the **Quiz Data**

For all the questions in this series, please visit my **GCSE Maths Question of the Week **page.

The post Solving Equations with Surds: GCSE Maths Question of the Week (Higher) appeared first on Mr Barton Maths Blog.

]]>The post TES Maths Christmas 2016 Collection appeared first on Mr Barton Maths Blog.

]]>While the end is finally in sight, there are still a few weeks of valuable lesson time left that no teacher wants to waste. So, to help you combine productive learning with some festive fun, here is a selection of resources which are ideal for keeping your classes engaged and entertained in the last few weeks of term.

This festive edition is only possible with the work of the generous and talented members of the TES Maths community who have taken the time to share these Christmas-themed gems.

Merry Christmas!

Craig Barton, TES Maths Adviser

**Who killed Santa? investigation**

Set pupils this festive problem-solving task, covering a range of topics, to keep those brain cells ticking in the last lesson of term.**Murder mystery worksheet**

Inspire future detectives to call upon all of their mathematical skills in order to find out the when, where and why and solve the crime.

**Create a snowflake activity**

Embrace the festive season and decorate the classroom while simultaneously teaching learners basic construction skills and reflective symmetry.**Christmas Tarsia**

Motivate learners to practise mental arithmetic in a more engaging way with this jigsaw, which also contains seasonal references.

**GCSE Christmas puzzles**

Reward your hardworking KS4 classes with this comprehensive collection of puzzles, problem-solving challenges and entertaining activities.**Christmas pirate game**and**adaptation**

Here are two different approaches to a pirate-themed festive game, which are perfect for tackling strategic thinking and mental arithmetic in a fun way.**Bumper activities booklet**

Ideal for learners of all ages and abilities, this collection is full of innovative Christmas-themed challenges that will get learners thinking.**Festive relay races**

Encourage your students’ competitive spirit and group work with this active approach to engaging the class with number puzzles.

**BODMAS stocking challenge**

Help students revise order of operations in a more exciting way by uncovering the presents left by Santa in this code-breaker activity.**Shading graphical inequalities worksheets**

Challenge your class to use their knowledge of linear inequalities to uncover different festive shapes as a way to recap this difficult topic.

The post TES Maths Christmas 2016 Collection appeared first on Mr Barton Maths Blog.

]]>The post Odd One Out: TES Maths Resource of the Week appeared first on Mr Barton Maths Blog.

]]>**Inspect the Spec**, Maths Newsletters and Topic Collections, please visit the **TES Maths Blog here**

**What is it?**

I am always on the lookout for a versatile type of activity. One that both myself and my students can get used to, and that I can then use across a whole range of different topics. It just means that so much time is saved in explaining who the activity works, and we can instead get straight down to the learning. On the rare times that such an activity is also engaging, challenging, and cuts my marking time down – well, it is safe to say that I am over the moon. And that is exactly the case with this Odd One Out resource. Students are given 9 answers, but just 8 questions. Their job is to find the odd one out!

**How can it be used?**

The author suggests that these activities make good starters and plenaries. That is undoubtedly true, but I feel there is even more potential than that. With the range of topics that this resource covers (brackets, fractions, factors, equations, sequences, indices, the list goes on), and the infinite potential for other topics, I feel this could make up the main body of the lesson. Better still, there is my favourite inbuilt source of richness. As soon as students have identified the odd one out, they can then create a question that has that answer. Lovely stuff!

Thanks so much for sharing

Craig Barton

Download **Odd One Out
**View the

The post Odd One Out: TES Maths Resource of the Week appeared first on Mr Barton Maths Blog.

]]>The post Expression, Equation, Formula, Identity: GCSE Maths Question of the Week (Foundation/Higher) appeared first on Mr Barton Maths Blog.

]]>The latest edition of my **GCSE Maths Question of the Week** series is a lovely Algebra question provided exclusively for my **Diagnostic Questions** website by Edexcel. However, the content is suitable no matter which exam board you are following.

Here is one suggestion for using this resource:

- Print out the worksheet for use as a starter in lessons, or a homework.
- Set your students the entire quiz that this question comes from as a follow-up activity

All of this is free.

**Get extra help on Writing Expressions**

Try the **Question online**

View the **Question Data and Explanations**

Try the **Quiz ****online**

View the **Quiz Data**

For all the questions in this series, please visit my **GCSE Maths Question of the Week **page.

The post Expression, Equation, Formula, Identity: GCSE Maths Question of the Week (Foundation/Higher) appeared first on Mr Barton Maths Blog.

]]>The post TES Maths ROTD: November 2016 appeared first on Mr Barton Maths Blog.

]]>Here are my August selections. Just click on the resource description to download it.

And of course, all the resources selected are completely free. You just need to register on the TES website to download them. And as ever, a huge thank you to all the teachers who share resources. You make TES what it is

1st November: Designed for primary, these Number & Place Value assessments provide key practice

2nd November: Balancing Numbers is a simple, but very effective way of consolidating mental arithmetic

3rd November: A detailed look at calculating nth term of a quadratic sequence for the new GCSE

4th November: Can your students work out which of the following deals are the “best buys”?

5th November: Designed for the AQA Level 2 in Further Maths, a lovely lesson on turning points

6th November: A very impressive simplifying surds matching activity

7th November: This Index Law Treasure Hunt is perfect for a quick recap of the basics

8th November: A quick-fire quiz on identifying significant figures

9th November: A useful Pythagoras card sort to cover the basics

10th November: Some original Indices questions, ideal for Core 1 or as a GCSE extension activity

11th November: I like this! A folder structure for organising your resources for the new Maths GCSE

12th November: A lovely set of activities for investigating the circle theorems using GeoGebra

13th November: Designed for primary, this practical recording measurements activity is ideal for Y7/8

14th November: A great lesson linking HCF and LCM to prime factor decomposition

15th November: If your students need plenty of practice on the cosine rule, this is ideal!

16th November: A complete lesson on the basics of plotting straight lines from tables

17th November: A workbook and complete set of PowerPoints on all aspects of surds for GCSE or A Level

18th November: A really nice set of mini assessments, designed for Year 8, on a variety of topics

19th November: An outstanding set of positive mindset posters for mathematics

20th November: “Commenting on Election Data” is a useful look at statistics in action in the real world

21st November: “Going Viral” is a nice activity to introduce exponential growth at GCSE

22nd November: “Rent to Own” is one of a series of excellent financial literacy resources

23rd November: Can students find the relationship between these sets of five co-ordinates?

24th November: A simple, but effective, worksheet on area and perimeter of compound shapes

25th November: A really nice introduction to recurrence relations, a topic new to GCSE Maths

26th November: A bundle of really nice scatter diagram activities and discussion points

27th November: This statistical terms Tarsia is ideal to check students understand key GCSE vocabulary

28th November: A really interesting activity where students produce a Vitruvian Man just like Da Vinci!

29th November: Uses a holiday review website to look at the suitability of different averages

30th November: A super worksheet on the volume of pyramids & cones, which is self-marking

The post TES Maths ROTD: November 2016 appeared first on Mr Barton Maths Blog.

]]>The post Linear Graphs Crab Race: TES Maths Resource of the Week appeared first on Mr Barton Maths Blog.

]]>**Inspect the Spec**, Maths Newsletters and Topic Collections, please visit the **TES Maths Blog here**

**What is it?**

I’ll be honest – as soon as I saw the title, I knew I was going to pick this as my Resource of the Week. Fortunately, it just so happens to be an excellent activity. The Crab Race presents an engaging situation for students to challenge their knowledge of real life graphs, straight line graph, speed, distance, time, substitution, problem solving and much more besides. In essence it is nothing more than a one-sided worksheet, but the discussion it provokes makes it as worthy as a 30 slide lesson PowerPoint.

**How can it be used?**

I often find that activities such as this lend themselves particularly well to my Counter technique. This is where I get the students working in small groups and allocate each group one or two counters. These counters can then be exchanged for a hint at any stage of the lesson. However – and my students know I will stick to this – once the counters have been spent, then no help whatsoever from me. I find this simple idea gets students talking to each other more, and becoming much more selective over their choice of questions. And as an extra twist, I would allow them to exchange a counter for a 30 second go on Desmos, so they can test out their ideas for the equations of the lines.

Thanks so much for sharing

Craig Barton

Download The Crab Race

**Student handout**

**Solutions**

View the **author’s other resources**

The post Linear Graphs Crab Race: TES Maths Resource of the Week appeared first on Mr Barton Maths Blog.

]]>The post Area of a Trapezium: GCSE Maths Question of the Week (Foundation/Higher) appeared first on Mr Barton Maths Blog.

]]>The latest edition of my **GCSE Maths Question of the Week** series is a lovely Area of a Trapezium question provided exclusively for my **Diagnostic Questions** website by OCR. However, the content is suitable no matter which exam board you are following.

Here is one suggestion for using this resource:

- Print out the worksheet for use as a starter in lessons, or a homework.
- Set your students the entire quiz that this question comes from as a follow-up activity

All of this is free.

**Get extra help on Area of Quadrilaterals**

Try the **Question online**

View the **Question Data and Explanations**

Try the **Quiz ****online**

View the **Quiz Data**

For all the questions in this series, please visit my **GCSE Maths Question of the Week **page.

The post Area of a Trapezium: GCSE Maths Question of the Week (Foundation/Higher) appeared first on Mr Barton Maths Blog.

]]>The post Pythagoras and Trigonometry Generator – TES Maths ROTW 2016/17 appeared first on Mr Barton Maths Blog.

]]>**Inspect the Spec**, Maths Newsletters and Topic Collections, please visit the **TES Maths Blog here**

**What is it?**

Okay, so we all know I tend to get more than a little carried away when someone produces something fancy on Excel, but I think you will forgive me for getting excited about this resource. Quite simply, it is amazing! You can generate as many questions as you like on 2D Pythagoras and Trigonometry, complete with answers at the click of a button. But if that wasn’t impressive enough, my favourite thing about this resource is that you can mix the questions up. So, it is not just a case of having all Pythagoras question, then all Sine questions, etc. You can generate a random selection so the students need to first select the appropriate tool to solve the problem which is half the battle. Amazing!

**How can it be used?**

First things first, make sure you click the button the “enable macros” or nothing will work. Once that is done, then you have a resource that could be used at any point during a lesson. Either at the start to establish baseline knowledge before moving onto something like 3D trigonometry, or half way through a lesson to check the progress students are making. My favourite is to use this randomly for revision. Right at the end of a lesson on cumulative frequency diagrams works particularly well, just to throw the students and see what they have really learned.

Thanks so much for sharing

Craig Barton

Download **Pythagoras and Trigonometry Question Generator**

View the **author’s other resources**

The post Pythagoras and Trigonometry Generator – TES Maths ROTW 2016/17 appeared first on Mr Barton Maths Blog.

]]>The post Volume of a Cone: GCSE Maths Question of the Week (Foundation/Higher) appeared first on Mr Barton Maths Blog.

]]>The latest edition of my **GCSE Maths Question of the Week** series is a lovely Volume of a Cone question provided exclusively for my **Diagnostic Questions** website by AQA. However, the content is suitable no matter which exam board you are following.

Here is one suggestion for using this resource:

- Print out the worksheet for use as a starter in lessons, or a homework.
- Set your students the entire quiz that this question comes from as a follow-up activity

All of this is free.

**Get extra help on Volume of non Prisms**

Try the **Question online**

View the **Question Data and Explanations**

Try the **Quiz ****online**

View the **Quiz Data**

For all the questions in this series, please visit my **GCSE Maths Question of the Week **page.

The post Volume of a Cone: GCSE Maths Question of the Week (Foundation/Higher) appeared first on Mr Barton Maths Blog.

]]>The post Volume and Surface Area Codebreakers – TES Maths Resource of the Week 10 appeared first on Mr Barton Maths Blog.

]]>**Inspect the Spec**, Maths Newsletters and Topic Collections, please visit the **TES Maths Blog here**

**What is it?**

I flipping love a codebreaker. In fact, I picked a few of my favourites out in the **October TES Maths Newsletter**. I have chosen this resource to show that codebreakers are not just for number and algebra based topics. With a bit of thought they can be used to spice up pretty much anything, including volume and surface area as in this particular resource. The first covers cubes, cuboids and cylinders, with codebreaker 2 looking at spheres, cones and pyramids. And with Foundation students needing to get to grips with non-prims in the new GCSE Maths exam, this resource could become an essential part of your teaching arsenal!

**How can it be used?**

The beauty of a codebreaker activity is they pretty much run themselves. They are perfectly suited to students either working independently, or in small groups. For extra support students could be provided with a formula sheet. And for a lovely little extension activity, students could be asked to create their own. More specifically, given one of the original grids, students could be challenged to come up with a new word. This involves them trying to create questions to match answers already given – a mighty challenge indeed. What could be better?

Thanks so much for sharing

Craig Barton

Download **Volume and Surface Area Codebreakers**

View the **author’s other resources**

The post Volume and Surface Area Codebreakers – TES Maths Resource of the Week 10 appeared first on Mr Barton Maths Blog.

]]>The post Intepreting Histograms: GCSE Maths Question of the Week appeared first on Mr Barton Maths Blog.

]]>The latest edition of my **GCSE Maths Question of the Week** series is a lovely Histograms question provided exclusively for my **Diagnostic Questions** website by Edexcel. However, the content is suitable no matter which exam board you are following.

Here is one suggestion for using this resource:

- Print out the worksheet for use as a starter in lessons, or a homework.
- Set your students the entire quiz that this question comes from as a follow-up activity

All of this is free.

Try the **Question online**

View the **Question Data and Explanations**

Try the **Quiz ****online**

View the **Quiz Data**

For all the questions in this series, please visit my **GCSE Maths Question of the Week **page.

The post Intepreting Histograms: GCSE Maths Question of the Week appeared first on Mr Barton Maths Blog.

]]>The post SUVAT Equations – TES Maths Resource of the Week 9 (2016/17) appeared first on Mr Barton Maths Blog.

]]>**Inspect the Spec**, Maths Newsletters and Topic Collections, please visit the **TES Maths Blog here**

**What is it?**

I remember when the specifications for the new Maths GCSE were first announced, a lot of attention was placed upon the introduction of SUVAT equations. Teachers around the country – me included! – went into panic mode, thinking we had to brush up on our Mechanics 1 A Level knowledge. Fortunately, it seems that the topic will only be used test skills of substitution, and the formulae themselves will always be given in the question. Still, it does not hurt to help our students become more familiar with these equations and their usage, and that is where this lovely resources comes into play. It is a full lesson, complete with worked examples, quick fire questions, and a delightful differentiated set of questions to finish. Oh, and thankfully (for a Statistician like me!) all the answers are provided.

**How can it be used?**

This less pretty much runs itself. As I always say to any teacher using resources from TES, they need to be adapted and modified to suit your teaching style and the needs of your students, but you have all you need here for the basis of a really good lesson on substitution. Maybe get the mini whiteboards out for the quick fire assessments throughout the lesson, and possibly a bit of small group work for the differentiated challenge at the end, and you’ll have a whole bunch of Mechanics converts in no time at all!

Thanks so much for sharing

Craig Barton

Download **SUVAT Equations**

View the **author’s other resources**

The post SUVAT Equations – TES Maths Resource of the Week 9 (2016/17) appeared first on Mr Barton Maths Blog.

]]>The post Angles in Polygons (Foundation/Higher) – GCSE Maths Question of the Week appeared first on Mr Barton Maths Blog.

]]>The latest edition of my **GCSE Maths Question of the Week** series is a lovely Fractions question provided exclusively for my **Diagnostic Questions** website by Edexcel. However, the content is suitable no matter which exam board you are following.

Here is one suggestion for using this resource:

- Print out the worksheet for use as a starter in lessons, or a homework.
- Set your students the entire quiz that this question comes from as a follow-up activity

All of this is free.

**Get extra help on Angles in Polygons**

Try the **Question online**

View the **Question Data and Explanations**

Try the **Quiz online**

View the **Quiz Data**

For all the questions in this series, please visit my **GCSE Maths Question of the Week **page.

The post Angles in Polygons (Foundation/Higher) – GCSE Maths Question of the Week appeared first on Mr Barton Maths Blog.

]]>The post Dylan Wiliam – Author, Researcher, Trainer and Assessment for Learning Expert appeared first on Mr Barton Maths Blog.

]]>Quite simply, Dylan is one of my heroes. He was the inspiration behind my **Diagnostic Questions website**, and his many books, presentations and writing that I have eagerly consumed over the years have always left me filled up with new ideas to try in the classroom.

Dylan Wiliam is Emeritus Professor of Educational Assessment at University College London. In a varied career, he has taught in inner-city schools, directed a large-scale testing programme, served a number of roles in university administration, including Dean of a School of Education, and pursued a research programme focused on supporting teachers to develop their use of assessment in support of learning.

It was an absolute pleasure to talk to Dylan, and we covered loads of stuff. In fact, you might want to listen to this episode at one-quarter speed in order to pick up on all the ideas Dylan shares. Amongst other things, I asked:

- What makes a lesson successful in Dylan’s opinion
- Why is Dylan a big fan of the classic SMILE resources, and what did a lesson look like involving these materials?
- Why is it a mistake to plan a lesson on the assumption that students will understand a topic, and what should teachers do instead?
- Dylan describes a lesson he taught that went badly, and what he learned from it, which leads to a discussion about the dangers of so-called “real life maths”
- We talk through Dylan’s selection of things he’d wished he knew when he started teaching, including ensuring students know you care, and the importance of forgetting for learning
- Dylan explains why he thinks lesson observations are a waste of time, and describes a model that he believes would support teacher development much better.
- Why is a good idea to test our students more, and how can we get around the problem that students often hate being tested?
- What makes good group work, and how can you make the whole group accountable?
- We discuss feedback in great depth, specifically when it is effective and when it is simply a waste of time. Some of the findings might surprise you.
- Dylan describes the most important piece of research he has been involved in, and what other piece of research has surprised him the most
- How would Dylan up-skill teachers who simply do not have time to go on Twitter, read blogs, study research, listen to podcasts, and so on?
- Why does Dylan like multiple choice questions, but is not overly keen on using them with mini whiteboards or electronic voting systems?
- What books would Dylan suggest teachers read?
- Finally, Dylan offers up advice for Heads of Department, and describes how he would change teacher training courses

Hopefully you will agree with me that this interview is jam-packed full of food for thought and practical takeaways. Things you can try in the classroom tomorrow, and ideas that will hopefully improve your teaching practice for good, whatever stage of your career you are at. And also, whatever subject you teach. Many of the ideas Dylan shares are not maths specific, so please share this episode with your non-maths colleagues, especially any student teachers or NQTs you may know.

Spoiler alert here, but I was both proud and humbled that Dylan picked Diagnostic Questions as one of his Big 3 websites to direct listeners towards. For listeners not aware of the site, it is the largest collection of top-quality maths multiple choice questions in the world, with a growing number of Science and Computer Science questions as well. We have been working hard over the last few months to develop new features, such as feedback, reporting, a scheme of work, and a mobile app for students. All of this is 100% free and always will be. Head over to **Diagnostic Questions** to find out more.

On Twitter, Dylan is **@dylanwiliam
**Dylan’s website is

Dylan gives some background on his favourite number, Skewes Number, **here**

The links to the books Dylan recommends, along with the books recommended by all my podcast guests, can be found here: **mrbartonmaths.com/teachers/books/**

The SMILE Cards that Dylan talks about are available to download for free from by registering at the STEM e-library here: **www.stem.org.uk/elibrary/**

Dylan’s “Relevance as MacGuffin in Mathematics Education” article is **here**

Dylan’s article entitled “The nine things every teacher should know” (although he would prefer the title “”Things I wish I’d known when I started teaching”) that he wrote for the TES is **here**

Dylan describes in more detail the piece of research he has found most surprising **here**

Dylan Wiliam’s Big 3:

1. **diagnosticquestions.com**

2. **twitter.com**

3. **gregashman.wordpress.com**

Dylan’s two Podcast Puzzles can be found **here**

Dylan has kindly compiled all the references to the articles he discusses in the interview **here**

Finally, the concepts of “Convince me that…” and “VI3 Treatment” that I discuss in the takeaway segment at the end can be found in the Topic section of my Mr Barton Maths website here: **mrbartonmaths.com/topics/** . Find the topic you want and click on Probing Questions.

Thanks so much for listening, and I really hope you enjoy the show!

Craig Barton

I am a maths teacher, currently teaching at Thornleigh Salesian College, Bolton, UK. Here are links to some of my work:**mrbartonnmaths.com**

The post Dylan Wiliam – Author, Researcher, Trainer and Assessment for Learning Expert appeared first on Mr Barton Maths Blog.

]]>The post TES Maths November 2016 Newsletter appeared first on Mr Barton Maths Blog.

]]>Half term may have disappeared in the blink of an eye, but there’s no excuse not to hit the ground running on your return to the classroom. Keep students energised and motivated after the break with these hand-picked resources, selected to reinforce learning in the areas of algebra, geometry, powers and much more.

Thanks – as ever – go to the generous and talented members of the TES Maths community who have shared their lesson ideas with us.

Craig Barton, TES Maths adviser

**Number mysteries**

**Problem-solving map mystery**

Ideal for engaging low-attaining classes, this mystery requires students to use their knowledge of basic operations, as well as square and prime numbers, to work out locations on a map.**Superhero decimal codebreaker**

Challenge pupils to save Patrick, the mayor of Mathhattan, from the super bad superhero by getting them to employ their decimal skills in this visually appealing activity

**Algebra**

**Odd one out tasks**

Useful as either starter or consolidation activities, this unique collection tests understanding and prompts discussion about a variety of different topics.**Simultaneous equations lesson**

In this creative introduction to what can often prove to be a difficult topic, learners solve picture-based puzzles before moving on to their algebraic form.

**Geometry and measures**

**Area and volume formulae revision**

Complete with a summary quiz, these fill-in-the-blank worksheets offer examples and questions to help pupils to remember the formulae they need for their exams.**Geometry of circles and cylinders**

Students use their knowledge of circles and cylinders to solve realistic engineering problems related to the designing, building and operation of the Thames Tideway Tunnel.

**Powers of 10**

**Dividing by powers of 10 lesson**

Reinforce learners’ understanding of place value using this well-structured lesson on dividing numbers by powers of 10, including a range of questions.**Multiplying and dividing by 10, 100 and 1000**

Using place value grids and counters, pupils work through these worksheets to practise basic fluency before moving on to more complex reasoning and problem solving.

The post TES Maths November 2016 Newsletter appeared first on Mr Barton Maths Blog.

]]>The post Multi Stage Problem Solving: TES Maths Resource of the Week 8 (2016/17) appeared first on Mr Barton Maths Blog.

]]>**Inspect the Spec**, Maths Newsletters and Topic Collections, please visit the **TES Maths Blog here**

**What is it?**

Before I mark one of my Year 10 or Year 11 class’ mock exam papers, I can be 100% sure that many of the lost marks will have come at the hands of the dreaded multi-mark questions. This is so frustrating, both for me as their teacher and for the students themselves. This frustration boils over whenever we go through the paper in class and my solution is met with groans of anguish and comments such as “is that all you had to do?”, “I didn’t know this was a percentages question”, or “I didn’t know what the question was asking!”. This is why I am such a huge fan of this resource. It was designed for the legacy specification, but if anything it is even more relevant for the new maths GCSE. There are loads of multi-mark question on a whole host of topics, including angles, currency conversions, and ones about those annoying people in exams who decide to pave over their awkwardly shaped gardens!

**How can it be used?**

The author suggests the following very sensible format:

• Each problem can be used as 10 min starter activity

• Show the problem and give students 5 minutes to work on their own

• Reveal any prompts as appropriate

• Discuss solutions and model thinking and strategies used to obtain correct answers (5 mins)

I can’t really do any better than that. All I would add is that this needs to become a regular part of your students’ mathematical diets as soon as possible. Cramming these kind of questions in a few weeks before the exam doesn’t really do anyone any favours. One or two of these a week from now until June and your students will be flying!

Thanks so much for sharing

Craig Barton

Download **GCSE Multi Stage Problems**

View the **author’s other resources**

The post Multi Stage Problem Solving: TES Maths Resource of the Week 8 (2016/17) appeared first on Mr Barton Maths Blog.

]]>The post Something in Common: my latest maths rich task obsession appeared first on Mr Barton Maths Blog.

]]>I love these activities because they allow consolidation of key skills, prevent students from copying each other (as all the questions are different), make marking and assessing easy for the teacher (as all the answers are the same!), and provide a lovely extra challenge for students as they try to figure out exactly what is going on! In short, I think they are amazing, and thank you so much to John for sharing them with us all.

I have updated my **Something in Common page** on my website to include the extra 20 tasks, and arranged them by earliest year group. They now span Year 7 up to A Level Further Maths.

I really hope you and your students find them useful, and thanks once again to John!

The post Something in Common: my latest maths rich task obsession appeared first on Mr Barton Maths Blog.

]]>The post Dividing Fractions (Foundation/Higher) – GCSE Maths QOTW appeared first on Mr Barton Maths Blog.

]]>The latest edition of my **GCSE Maths Question of the Week** series is a lovely Fractions question provided exclusively for my **Diagnostic Questions** website by Edexcel. However, the content is suitable no matter which exam board you are following.

Here is one suggestion for using this resource:

- Print out the worksheet for use as a starter in lessons, or a homework.
- Set your students the entire quiz that this question comes from as a follow-up activity

All of this is free.

**Get extra help on Multiplying and Dividing Fractions**

Try the **Question online**

View the **Question Data and Explanations**

Try the **Quiz online**

View the **Quiz Data**

For all the questions in this series, please visit my **GCSE Maths Question of the Week **page.

The post Dividing Fractions (Foundation/Higher) – GCSE Maths QOTW appeared first on Mr Barton Maths Blog.

]]>The post Transformations and Invariant Points (Higher) – GCSE Maths QOTW appeared first on Mr Barton Maths Blog.

]]>The latest edition of my **GCSE Maths Question of the Week** series is a lovely Transformations question provided exclusively for my **Diagnostic Questions** website by AQA. However, the content is suitable no matter which exam board you are following.

Here is one suggestion for using this resource:

- Print out the worksheet for use as a starter in lessons, or a homework.
- Set your students the entire quiz that this question comes from as a follow-up activity

All of this is free.

**Download the worksheet**

**Get extra help on Transformations**

Try the **Question online**

View the **Question Data and Explanations**

Try the **Quiz online**

View the **Quiz Data**

For all the questions in this series, please visit my **GCSE Maths Question of the Week **page.

The post Transformations and Invariant Points (Higher) – GCSE Maths QOTW appeared first on Mr Barton Maths Blog.

]]>The post GCSE Maths Question of the Week appeared first on Mr Barton Maths Blog.

]]>Seeing as over 7,200 new specification GCSE maths questions have been uploaded to my Diagnostic Questions site by AQA, Edexcel and OCR, I thought it would be a nice idea to feature some of these. So, each week I will pick out a question that has either been answered particularly poorly by students on DQs, or which covers some content that is new to the specification. I will create a worksheet that you can use in class or for homework, and make a video of me answering it. The questions I choose will be suitable no matter which awarding body you a following.

Your students may also like to use this series of questions for independent revision. Each question contains links to supporting resources that they can use for their revision of a particular topic.

I have created 6 questions to get the ball rolling, and they can all be accessed, along with thew worksheets and videos, on my website **here**.

I hope you and your students find them useful

The post GCSE Maths Question of the Week appeared first on Mr Barton Maths Blog.

]]>The post Cubic Graph Match-Up – TES Maths Resource of the Week 7 (2016/17) appeared first on Mr Barton Maths Blog.

]]>**Inspect the Spec**, Maths Newsletters and Topic Collections, please visit the **TES Maths Blog here**

**What is it?**

Cubic graphs have been given a bit more of a role to play in the new GCSE maths specification. As well as sketching cubics from a table of values and recognising the very basic variations on y = x3, higher tier students will also have to sketch graphs of simple cubic functions, given as three linear expressions. That is where this lovely activity comes into play. It consists of 21 cubic equations that need to be correctly matched up to 21 sketches of cubic graphs. And there are some tricky ones in there! By the time your students have battled their way through this one, GCSE will seem a breeze and they will be far better prepared for the co-ordinate geometry demands of A Level Maths.

**How can it be used?**

The activity runs really well as originally intended by the author. I would just add a few extra suggestions. The first would be to give the students just the equation cards to begin with and challenge them to write down as many key graphical features as they can for each equation, possibly doing one whole class example as discussed in the video. This might just help them find a decent starting point before they are given the sketches. Secondly, I would recommend giving a Desmos Token to each group, which can be exchanged for one sketch on Desmos. Not only does this offer students some much needed support, but it also helps familiarise them with this beautiful free software that will prove invaluable as they continue their mathematics journey.

Thanks so much for sharing

Craig Barton

Download **Matching Cubic Graphs and their Equations**

View the **author’s other resources**

The post Cubic Graph Match-Up – TES Maths Resource of the Week 7 (2016/17) appeared first on Mr Barton Maths Blog.

]]>The post Diagnostic Questions free GCSE Maths Scheme of Work appeared first on Mr Barton Maths Blog.

]]>I’d love to say that I could tell you all about our Scheme of Work in a few sentences, but that would be a lie. It simply would not do it justice. So, maybe wait until you have five minutes spare, get yourself a nice cup of tea, maybe even a biscuit, and then come back to this post.

Cup of tea in hand? Biscuit? Okay, let’s go.

Now, obviously I am ridiculously biased, but here are a six (everyone’s favourite perfect number) reasons why I am very proud of what we have created:

**1. It is completely free, and always will be **

No hidden catches, no dodgy small print, no buy now, pay later. And not only is it free to use the Scheme of Work and the thousands of questions on the site, but previously premium features such as giving feedback, printing reports and measuring progress over time are also free. See **this handy guide** for ways to get the most out of these exciting features.

**2. It contains top-quality, automated content **

All questions in the Scheme of Work have been provided by AQA, Edexcel and OCR, and are perfectly aligned to the new GCSE. Functions, Frequency Trees, Venn Diagrams, Invariance – you name it, we have it covered. So, if you want your students to be as prepared as possible for the demands of this new qualification, then this should prove invaluable. There are two year’s worth of quizzes, covering Year 10 and 11, Higher and Foundation. And once the Scheme of Work is set up, all quizzes are automated for the entire year. You do not have to lift a finger.

**3. It measures progress**

We don’t just provide one top quality assessment for each GCSE topic, we provide 3! The Baseline quiz is automatically set 3 days before students begin a topic, to give you a sense of where they are at coming in to the sequence of lessons. The Progress quiz is automatically set at the end of the topic, so you can see what areas your students have improved in. Finally – and this is my favourite – the Understanding quiz is set 3 weeks after the end of the topic, so you really know how much your students have truly understood, as opposed to relying on short term memory and mimicry.

**4. It will save you hours **

How long does it take you to set homework each week, collect it in, and chase up those students who have conveniently left their books at home? How long does it take you to make a class-set of 30 books? How long does it take to give individual feedback, set follow-up work, and then mark that? Diagnostic Questions does all of that for you in an instant, allowing you to spend your precious time on the things that really matter.

**5. It will help you do your job better**

Using the Scheme of Work will not just save you time – it will allow you to do your job better. We don’t just just replace marking – we improve it. After marking a set of 30 books for 3 hours, what have you really learned about your students? We will show you the worst answered questions, and group students together by their misconceptions, revealing exactly why students do not understand a concept. By using our powerful data analytics machine, together with students’ explanations, you can quickly gain a deep knowledge of your students’ level of understanding and the specific nature of their misconceptions, allowing you to intervene accordingly and effectively.

**6. It enables peer-to-peer learning **

It’s not just teachers that have all the fun. Students can reap the rewards from being in the largest classroom in the world. We all know that students benefit immensely by listening to their peers explain an answer or a concept. In school they may be able to do this with a handful of students at best. On Diagnostic Questions, if they get a question incorrect, students can benefit by reading hundreds of correct explanations, given by students from all around the world, until they find that magic one that makes sense to them.

I will be entirely honest with you – it will take you a little bit of time to set up the Scheme of Work. But I promise you that it will be worth it.

First you will need to choose your GCSE awarding body (AQA, Edexcel or OCR) and then use our drag-and-drop facility to map your scheme of work onto ours. This could take up to an hour to do Year 10 and 11 Foundation and Higher. But – and this is the best bit – once you have done this, you can sit back and relax for the rest of the year, as Diagnostic Questions will take care of everything else. The setting of all quizzes will be automated, and every time you log-in you will be presented with the kind of deep insights into your students’ understanding that really make a difference.

And we are here to help! Firstly, we have put together **this handy guide** which should get you up and running. But there is more! For the next few weeks we will have two dedicated members of staff here at Diagnostic Questions HQ whose sole mission in life is to help you get up and running with the GCSE Scheme of Work. They can help you with the mapping of your topics, the uploading of students, and the assigning of the Scheme of Work. You can get in touch by emailing us at **hello@diagnosticquestions.com**

So, just **click here** and log in to get started, and let the revolution begin!

Thanks so much for taking the time to read this email, and I really hope you and your students enjoy what we have created.

Craig

The post Diagnostic Questions free GCSE Maths Scheme of Work appeared first on Mr Barton Maths Blog.

]]>The post Expanding Brackets Magic Box – TES Maths ROTW 6 (2016/17) appeared first on Mr Barton Maths Blog.

]]>**Inspect the Spec**, Maths Newsletters and Topic Collections, please visit the **TES Maths Blog here**

**What is it?**

This is a lovely, versatile activity that encourages students to take control of their own learning and also push themselves. The author kindly provides some crystal-clear instructions:

1. Take a question from the mystery box.

2. Write the question in your book & answer it.

3. Put the card back in the correct box and get another.

4. When you have answered 3 different questions self-assess.

If you get all of 3 of the questions correct move onto the next mystery box. If you make some mistakes, continue with that box and get help.

Very simple, yet potentially very effective.

**How can it be used?**

Whilst this particular version of the activity is aimed at expanding brackets, there is no reason at all why this format could not be rolled for topics spanning Year 7 right up to Year 13 Further Maths. And okay, you might say why not just pout the questions on three different worksheets and save a load of fuss? Well, because there is something novel about having questions in a “mystery box”, and often you need something like this to get students to engage with key skills such as expanding double brackets. I also really like the author’s suggestion of having some blue, extension questions lined up for those who conquer the green box.

Thanks so much for sharing

Craig Barton

Download** Expanding Brackets Magic Box Activity**

View the **author’s other resources**

The post Expanding Brackets Magic Box – TES Maths ROTW 6 (2016/17) appeared first on Mr Barton Maths Blog.

]]>The post Ed Southall – SolveMyMaths and Mathematics PGCE Tutor appeared first on Mr Barton Maths Blog.

]]>As well as being a prolific blogger and Tweeter, Ed is the PGCE Mathematics Tutor at the University of Huddersfield. Interestingly, he combines this role with teaching in a local secondary school two days a week, thus giving him something of a unique perspective on both maths teaching and training.

In a wide ranging, interview we covered the following things and more:

– How does Ed use Concept Mapping to plan sequences of lessons?

– What classic mistake does Ed think many teachers make in the plenary of their lessons?

– What so-called conventional wisdom does Ed hear about good lessons that he does not agree with – and fans of purple pens and lesson objectives, beware!

– Ed brilliantly describes a bad lesson he taught and what he learned from it

– We talk about Ed’s forthcoming book about uncovering the “why” behind mathematics

– Why is creating a safe maths environment so important, and how does Ed do that?

– What does Ed mean by a “Safe Lesson”, and why should every teacher have one up their sleeve?

– If Ed could completely redesign teacher training what would it include?

– How should differentiation best be done?

– What books would Ed recommend maths teachers to read?

– And Ed gives a lovely answer to the question “What do you wish you had known when you started teaching that you know now?”

Remember to check out our brand new, completely free Diagnostic Questions GCSE Scheme of Work is now live. Head over to **diagnositcquestions.com** and sign in to find out more.

You may have noticed that **mrbartonmaths.com** has had a long overdue summer make-over. I am particularly proud of my new **Topic section**, where you can find full lesson, worksheets, videos, rich tasks, topic-specific Diagnostic Questions, interactive resources and probing questions on every single maths topic up to GCSE. More importantly, I also have a new **maths jokes and puns page**, containing award winning maths movie title puns such as Pi Hard, Factor the Future, and Radius of the lost Arc. The last one is probably the best thing I have ever come up with in my life. Head to **mrbartonmaths.com** to check all the new stuff out.

On Twitter, Ed is **@solvemymaths**

Ed’s Blog is **solvemymaths.com**

And Ed’s lovely profile on the University of Huddersfield website is **here**

The “current obsession” I refer to is Mr Taylor’s amazing “Increasingly Difficult Questions”, which can be found on his **blog here**, and they are also linked to by topic in the **Topic section** of my website. Simply find the topic you are after and click Lessons.

To see the books Ed recommends teachers to read, please visit: **mrbartonmaths.com/teachers/books/**

Ed Southall’s Big 3:

1. **openmiddle.com**

2. **Aplusclick.com**

3. **jamestanton.com**

Just the usual plea that if you are enjoying these podcasts, to please leave a star-rating, or a quick review on iTunes. It just keeps a numbers geek like myself very happy. Not that I check my iTunes ranking every night, or anything…

Thanks so much for listening, and I really hope you enjoy the show!

Craig Barton

**mrbartonnmaths.com**

The post Ed Southall – SolveMyMaths and Mathematics PGCE Tutor appeared first on Mr Barton Maths Blog.

]]>The post TES Maths October 2016 Newsletter appeared first on Mr Barton Maths Blog.

]]>With a month’s worth of teaching under your belt, it’s time to make sure that your pupils have really grasped everything they’ve learnt so far. These stimulating resources are ideal for cementing understanding in the areas of proportion, quadrilaterals, graphs and much more.

Ensure your learners are on the right track with these hand-picked lesson ideas, created and shared by the generous and talented members of the TES Maths community.

Craig Barton, TES Maths adviser

**Proportion codebreaker**

Get practising a range of GCSE-level questions on direct and indirect proportion, including those that require them to generate formulae, with this humorous activity.**Simultaneous equations coded message**

Consolidate work on simultaneous equations using these differentiated worksheets, requiring pupils to crack the code by matching equations with solutions.

**Properties of quadrilaterals**

Secure pupils’ understanding of the properties of quadrilaterals, as well as the methods used to find missing angles, with this well-structured lesson and activities.**Parallel line maze**

Using their knowledge of key angle facts, challenge learners to plot the path from one side of the maze to the other. Answers provided.

**Cubic graph practice**

Help GCSE and A-level students get to grips with the properties of cubic graphs by setting this unique matching task.**Finding the equation of a line**

Also relevant to the new GCSE specification, pupils must calculate the equation of a line between two given points in order to decode the hidden message.

**KS3 and 4 homework booklets**

Revise a wide range of topics every week with this collection of workbooks for Years 7 to 11, including a table to help pupils to assess their learning.**Differentiated homework pack**

With over 600 different activity sheets, these booklets not only cover all aspects of the new GCSE specification, but also encourage learners to record their own targets and progress.

The post TES Maths October 2016 Newsletter appeared first on Mr Barton Maths Blog.

]]>The post Handy Homework Booklets – TES Maths ROTW 5 (2016/17) appeared first on Mr Barton Maths Blog.

]]>**Inspect the Spec**, Maths Newsletters and Topic Collections, please visit the **TES Maths Blog here**

**What is it?**

Sit yourself down for this one, as it is truly excellent. A kind teacher has decided to share an entire year’s worth of homework, covering Year 7 to Year 11. And the homeworks themselves really are of top quality. Each homework consists of 20 questions that fit conveniently onto a single page. They cover essential skills, such as adding fractions, rearranging equations, naming parts of a circle, and so on. Also included is a tracking sheet, as well as space for both a mark out of 20 and an effort mark.

**How can it be used?**

No prizes for suggesting that one way of using this resource would be for homework (I have learned a lot in these last 11 years of teaching!). But there are lots of other ways. Because the resource has been written in Word, it is easily editable, meaning you can copy and paste individual questions to use on your own worksheets, or for support/extension work, or to project up on the board during a lesson. Collections like this always lend themselves well to that unrelenting bane of a maths teacher’s life – cover work. If a colleague rings in sick last minute and there is no work set, then you can do a lot worse than running off a few copies of one of these homeworks. Tremendous stuff.

Thanks so much for sharing

Craig Barton

Download **Brockington College Maths Homework Booklets**

View the **author’s other resources**

The post Handy Homework Booklets – TES Maths ROTW 5 (2016/17) appeared first on Mr Barton Maths Blog.

]]>The post TES Maths ROTD: September 2016 appeared first on Mr Barton Maths Blog.

]]>Here are my September selections. Just click on the resource description to download it.

And of course, all the resources selected are completely free. You just need to register on the TES website to download them. And as ever, a huge thank you to all the teachers who share resources. You make TES what it is

1st September: Back 2 School: An amazing set of first week activities, with a fair bit of lovely maths in there

2nd September: Back 2 School: Diffy is the first lesson we give our new Year 7s – a Mr Barton favourite!

3rd September: Back 2 School: These problem solving cards are ideal for early exposure to non routine problems

4th September: Back 2 School: These transition worksheets & answers are ideal for your new Maths A Level students

5th September: Back 2 School: Give your new Year 11s these amazing Revision Booklets for the new Maths GCSE

6th September: Back 2 School: This epic collection of puzzle sheets can help kick start a year of maths in style

7th September: Back 2 School: See how rusty their algebra skills have become with this delightful crossnumber

8th September: Back 2 School: Time for homework yet? Here is a year’s worth!

9th September: Back 2 School: Introduce your new Year 12s to the delights of Core 1 with this activity

10th September: Back 2 School: GCSE Question of the Day contains 50 top-quality, non-routine problems

11th September: Back 2 School: A really simple but incredibly effective Number of the Day starter template

12th September: A good set of loop cards for practising key angle facts

13th September: A complete guide to solving quadratic equations including problem solving

14th September: This lovely codebreaker looks at angle properties of polygons

15th September: Can students use their knowledge of angles on a parallel line to cross the maze?

16th September: A really nice set of questions combining algebra and co-ordinates

17th September: “Corridor Bearings” takes everyone’s favourite topic on the move!

18th September: A circle theorem match-up activity complete with interactive demonstrations

19th September: Cover a vast amount of Higher GCSE all by looking at one box

20th September: A fantastic lesson for identifying quadrilateral properties and finding missing angles

21st September: An engaging symmetry activity using company logos

22nd September: A high quality worksheet covering inequalities on number lines

23rd September: Top quality area and perimeter codebreakers, with a corny joke as a bonus!

24th September: Cover all 4 fraction operations with my very own Build an Army

25th September: This Equations Ladder activity allows students to progress at their own pace

26th September: An impressive lesson to introduce students to surds

27th September: Top quality past Higher GCSE questions on perimeter, area and volume

28th September: Practice matching percentages to decimals in this fun, interactive game

29th September: “Cost of Jewellery” contains 3 differentiated lessons on all aspects of area

30th September: This treasure hunt is ideal for consolidating understanding of circle theorems

The post TES Maths ROTD: September 2016 appeared first on Mr Barton Maths Blog.

]]>The post Quadratic Equations Practice – TES Maths ROTW 4 (2016/17) appeared first on Mr Barton Maths Blog.

]]>To see all of the work I do for TES Maths, including Resource of the Week, Inspect the Spec, Maths Newsletters and Topic Collections, please visit the **TES Maths Blog here**

**What is it?**

Just like “The Best of Queen” is probably my all-time favourite compilation album, I think this might be my all-time favourite compilation resource. As the author explains, the ideas contained in this PowerPoint have been taken from a wide variety our sources, including from my number one maths hero, Don Steward. They have been combined together beautifully to leave us with a well-structured, rich, challenging and engaging lesson that covers all aspects of solving quadratic equations. We have 73 slides of factorising, using graphs, completing the square, and using the formulae, often provided in the context of a rich task or fused with geometry, together with beautiful clear notes and solutions. This really is the kind of solving quadratic equation lessons!

**How can it be used?**

As much as I would love to try, I think 73 slides is a little too much to attempt in one lesson. This is the kind of resource that you can dip into, take slides out, modify them to suit the needs or your class and your own teaching style, and come back to time and time again. For me, it really shows the power of a simple lesson structure: example, notes, practise, rich context. When planning and teaching is boiled down to these four essential elements you can’t really go wrong.

Thanks so much for sharing

Craig Barton

Download **Solving Quadratic Equations**

View the **author’s other resources**

The post Quadratic Equations Practice – TES Maths ROTW 4 (2016/17) appeared first on Mr Barton Maths Blog.

]]>The post Cost of Jewellery – TES Maths ROTW 3 (2016/17) appeared first on Mr Barton Maths Blog.

]]>To see all of the work I do for TES Maths, including Resource of the Week, Inspect the Spec, Maths Newsletters and Topic Collections, please visit the **TES Maths Blog here**

**What is it?**

Differentiation is a tricky thing to get right in the maths classroom. I have long been a fan of starting all students off on the same task, and then using prompts and lines of inquiry to differentiate as the lesson progresses. Crucially, I am not a fan of giving different students completely different types of work as you lose the cohesion in the class and the flexibility to switch different students between different tasks. That is why I love this lesson. Students all start with the same premise – trying to work out how much each type of earring costs, using skills such as measuring, estimation, formulae, circles, percentages and more. But with subtle differences in price, shape and profit you have the option to deliver this lesson to three completely different ability classes, or better still between different students in the same class.

**How can it be used?**

Obviously it depends on the specific class you have, but to use my middle set Year 9s as an example, I started them all off on the middle lesson (the orange lesson). If I detected that students were struggling, I could intervene myself, or move students around, or if needed place the Red sheet in front of them. The latter did not have the jarring effect that changing a student’s level of work usually has because the task looked so similar. Likewise, I could use the same technique with the Green sheet for those students who were flying. The whole class felt like they were working on the same task, but students were being supported and challenged appropriately. A fun, engaging lesson thanks to this lovely resource.

Thanks so much for sharing

Craig Barton

Download **Cost of Jewellery Lesson**

View the **author’s other resources**

The post Cost of Jewellery – TES Maths ROTW 3 (2016/17) appeared first on Mr Barton Maths Blog.

]]>The post GCSE Maths Problem Solving – TES Maths ROTW 2 (2016/17) appeared first on Mr Barton Maths Blog.

]]>To see all of the work I do for TES Maths, including Resource of the Week, Inspect the Spec, Maths Newsletters and Topic Collections, please visit the **TES Maths Blog here**

**What is it?**

There is no hiding away from it – the new Maths GCSE is on the horizon, and it will undoubtedly be more challenging than ever before. One thing I have noticed when looking through the Sample Assessment Materials and resources provided from the awarding bodies is that topics will be combined together far more regularly than in the legacy GCSE. This provides a problem for students who have learned and practised topics in isolation. If they are not able to apply and combine different skills, then they are likely to come a cropper. Fortunately, resources like this will help students gain that essential practise.

**How can it be used?**

This unstructured, challenging problem comprises of a cone, cylinder and hemisphere, with students asked to work out the total surface area. In order to successfully complete this task, it is not enough for students to simply substitute some number into a formula. Indeed, students must call upon their knowledge of Basic Trigonometry, Surface Area, Circumference, Ratio and Pythagoras. They will no doubt find this difficult at first, so it might be worth having some hint cards up your sleeve, or using my Counter technique, where groups can exchange a counter for a question. Whatever you try, please persevere as it is essential the students develop the grit and determination needed to tackle problems such as these.

Thanks so much for sharing

Craig Barton

Download **Wooden Fence Post: New GCSE Maths Problem Solving**

View the **author’s other resources**

The post GCSE Maths Problem Solving – TES Maths ROTW 2 (2016/17) appeared first on Mr Barton Maths Blog.

]]>The post Diagnostic Questions Help – Get set up for the new school year! appeared first on Mr Barton Maths Blog.

]]>But fear not. Here is something to cheer you up. It is our brand new Diagnostic Questions guide to getting yourself set-up on the system for the new school year. Want to archive last year’s classes and set up some new ones? No problem. Some kids have forgotten their passwords? Easily fixed! You’d love to get the new bunch of Year 7s signed up? Easy!

And with our brand new, completely free **GCSE Maths Scheme of Work** on the horizon, there has never been a better time to join us.

So, just download **this handy PDF**, and away you go!

I hope the new school year gets off to a good start. If not, it’ll be Christmas in no time

The post Diagnostic Questions Help – Get set up for the new school year! appeared first on Mr Barton Maths Blog.

]]>The post Factors and Multiples Game: Ultimate Edition – TES Maths ROTW 1 (2016/17) appeared first on Mr Barton Maths Blog.

]]>The following resource has been kindly shared on the **TES Maths website**. It is available to download for free by registering. And to access all the lovely Resource of the Week (ROTW) resources, just click **here**

**What is it?
**To kick start the latest series of TES Maths Resource of the Week, it may seem more than a little egotistical to have chosen one of my own resources. But I promise there are good reasons! Firstly, it is not really mine. This is a classic activity that has been working its way around the maths classroom for years. Secondly, this is not just any old version of the Factors and Multiples Game. Oh no – this is the Ultimate Edition! You see, I have been touring this around the country for the last few years, picking up ideas from groups of teachers and students for extensions, variations and lines of inquiry, all of which have to come together in this latest version of the resource. Finally, I have chosen this as it is the ideal activity to use with any class during the first few lessons of the year.

** **

**How can it be used?
**We use the “Factors and Multiples Game: Ultimate Edition” with our Year 7 classes in the second week of term. Students have met factors and multiples as early as Year 4, so it is a concept that needs to be reinforced but in a different way than students have met it before in order to sustain their engagement. We also use this game to set the tone for maths in secondary school – painting it as a fun and challenging subject. All students start off playing the basic version of the game, and then like all my rich tasks, differentiation comes in the form of different lines of inquiry. These are all listed in the Comments section, and here are some of my favourites:

- If I start with 20, how many different numbers can you choose?
- Do bigger numbers give you more choices or smaller numbers? Explain your answer
- What is the lowest number you can choose and still win?
- How long can you go by avoiding all the prime numbers?

I hope you and your students find this useful.

Craig Barton

Download **Factors and Multiples Game: Ultimate Edition**

View the **author’s other resources**

The post Factors and Multiples Game: Ultimate Edition – TES Maths ROTW 1 (2016/17) appeared first on Mr Barton Maths Blog.

]]>The post TES Maths ROTD: August 2016 appeared first on Mr Barton Maths Blog.

]]>Here are my August selections. Just click on the resource description to download it.

1st August: A nice lesson and worksheet on working with 10, 100, 1000

2nd August: A useful, stand-alone maths literacy assessment

3rd August: Students must try to identify and correct fraction operation errors

4th August: Expanding single and double bracket catchphrase

5th August: A lovely look at properties and angles of special quadrilaterals

6th August: A well-structured lesson on plotting linear graphs from their equations

7th August: Lovely, differentiated worksheets on area of a circle

8th August: I really like this Deal or No Deal Best Buys challenge

9th August: A simple, but effective completing symmetrical pictures worksheet

10th August: Use Pythagoras to help fix Charlotte’s web

11th August: A complete lesson on compound interest

12th August: A nice differentiated starter comparing two cricketers

13th August: Loads of different style questions on fractions of a shape

14th August: The complete guide to straight line graphs (warning: Notebook file)

15th August: A quick-fire starter activity on the equation of a circle

16th August: Calculate missing dimensions from the next of prisms

17th August: Some delightfully difficult tree diagram questions!

18th August: A complete lesson, including a lovely homework, on angles in triangles

19th August: Use angles in shapes to form and solve algebraic equations

20th August: Loads of practise on the area of triangles, rectangles and trapeziums

21st August: A fantastic equivalent fractions Tarsia Jigsaw

22nd August: A superb BIDMAS Codebreaker Challenge

23rd August: Some really interesting tips for learning tricky times tables

24th August: Lots of engaging activities for long multiplication

25th August: A clear, step-by-step guide to the major constructions

26th August: An impressive lesson to introduce students to surds

27th August: “BMBT” is designed to help students develop confidence & fluency with arithmetic

28th August: A guide to the Sine and Cosine Rule, including questions using a combo of both

29th August: A crystal clear guide to drawing a circle using a compass

30th August: Differentiated worksheets on finding the ratio of an amount

31st August: A superb Quiz, Quiz, Trade activity on Percentage of an Amount

The post TES Maths ROTD: August 2016 appeared first on Mr Barton Maths Blog.

]]>The post TES Maths ROTD: July 2016 appeared first on Mr Barton Maths Blog.

]]>Here are my July selections. Just click on the resource description to download it.

1st July: “Running Track” combines ratio, percentages, compound measures and more!

2nd July: “Will they meet?” is my romantic maths activity about transformations

3rd July: “Lunar Theme Park” combines mathematical know-how with business acumen!

4th July: “Project Office” is one of the best design-a-room style activities I have seen

5th July: “Average Student” is a fun, wide-ranging series of data lessons

6th July: “Plan a Holiday” is perfectly times with summer just around the corner!

7th July: “Misleading Data Activity” puts a lovely twist on data representation

8th July: “The Lottery” gets students thinking about probability and combinations

9th July: “Positive Differences” is one of my all time favourite activities

10th July: “Crest Pick Up and Run Project Ideas” is a wealth of inspiration!

11th July: Substitution codebreaker and anagram challenge!

12th July: A really well structured expanding double brackets activity

13th July: A lovely carousel activity on area and perimeter of sectors

14th July: Angle Pile-Up tests all the basic angle facts

15th July: A simply amazing set of differentiated homeworks for the new GCSE

16th July: Practise substitution and speed, distance time with this SUVAT resource

17th July: A very challenging area and perimeter worksheet, complete with answers!

18th July: A lovely, visual way of teaching adding & subtracting negative numbers

19th July: Complete coverage of multiplying and dividing algebraic fractions

20th July: The ability to understand bearings is needed to survive the apocalypse!

21st July: A lovely prime factorisation coded challenge

22nd July: Collect a Joke time! Here it is Pythagoras and Trigonometry

23rd July: 20 past GCSE questions on everything about circles you could ever imagine!

24th July: Get this lovely Core 3 Revision Clock saved for next year!

25th July: A wide range of questions (and answers!) on completing the square

26th July: A wonderful Taboo game on inequalities on number lines

27th July: A comprehensive lesson and fractional and negative indices

28th July: Lovely coverage of solving linear equations using the balance method

29th July: “The Gold Rush” helps revise both surds and indices in a fun way

30th July: Get this lovely Statistics 1 revision resource banked for next year!

31st July: A well structured worksheet on logs, together with answers!

The post TES Maths ROTD: July 2016 appeared first on Mr Barton Maths Blog.

]]>The post Beth Lilley – NQT appeared first on Mr Barton Maths Blog.

]]>As I am recording this podcast at the end of a very busy and eventful school year – my 11th as a teacher – I thought it would be interesting to talk to someone who has just finished their very first year in teaching, and Beth fits the bill perfectly. Beth is an NQT who, despite coming from the wrong side of the Pennines, I got on with very well.In a wide ranging, interview we covered the following things and more:

– How does Beth plan her lessons, and why has she developed the “Beth Llilley Two Page TES rule”?

– Beth takes us through a lesson she planned and delivered on introducing exact values of trigonometric ratios, a topic brand new to GCSE

– She also describes a lesson on solving linear equations that did not go quite so well, and what she learned from it

– We discuss how Beth has changed as a teacher over the course of the year, including how she has responded to feedback from lesson observations

– We really dig deep into the key issue of trying to maintain a work-life balance – which is the number one reason for teachers leaving the profession – and Beth shares her weekly routine that allows her to have some kind of a life

– We talk about the NQT year in general, looking at what surprised Beth the most, and how it differs to her PGCE year

– We talk about the support Beth has received, and think about what makes a good NQT mentor

– We then turn our attention to Beth’s geeky obsession with the Ancient Greeks and how she brings them into her lessons

– Finally, Beth shares some tips for student teachers and NQT, as well as her Big 3

As I hope will come across, Beth is an incredibly passionate, enthusiastic teacher, and I really hope her honesty about the highs and lows of the job, together with her tips and coping strategies, will be of great use to those of you entering the profession, and even old timers like me. I thoroughly enjoyed this conversation.

On Twitter, Beth is @MissBLilley here: **https://twitter.com/MissBLilley**

And Beth’s Blog is: **http://www.missblilley.co.uk/**

Beth’s excellent History of Maths PowerPoint can be downloaded here: **https://www.tes.com/teaching-resource/using-history-of-maths-to-teach-in-the-present-11157796**

Beth’s Big 3

1. Don Steward’s simply amazing Median Maths Blog: **http://donsteward.blogspot.co.uk/**

2. TES Maths Resources: **https://www.tes.com/teaching-resources/hub/secondary/mathematics**

3. Diagnostic Questions (paying these guests to plug my websites is costing me a fortune): **https://www.diagnosticquestions.com/**

Just the usual plea that if you are enjoying these podcasts, to please leave a star-rating, or a quick review on iTunes. It just keeps a numbers geek like myself very happy. Not that I check my iTunes ranking every night, or anything…

Thanks so much for listening, and I really hope you enjoy the show!

Craig Barton

**mrbartonnmaths.com**

The post Beth Lilley – NQT appeared first on Mr Barton Maths Blog.

]]>The post End of Year Review – TES Maths Resource of the Week 123 appeared first on Mr Barton Maths Blog.

]]>2015-16 has been another fantastic year for the TES Maths Resource of the Week (ROTW). Each week it is an absolute pleasure to search through the amazing resources that have been uploaded to TES Maths to find that special one to feature in my weekly series.

I am often asked on Twitter about my criteria for selecting the ROTW. I wish I had an impressively sophisticated algorithm to share with you, but this truth, I’m afraid, is much simpler. I choose resources that I would use in my classroom. And very often, a resource only makes it to ROTW status if it has successfully survived a run through with my Year 7s, Year 9s and Year 11s.

In my videos and write-ups, I also try to suggest modifications and extensions for each resource. This is something I feel very strongly about. It is very rare that a resource written by someone else for their class will work perfectly for you and your class. Resources need to be modified and adapted to fit your teaching style, your students, the time of the day, and the thousands of other things that can determine the success of a lesson.

This year we have seen resources for making tests, starting lessons, spicing up fractions, bearings, and a whole host of potential painful topics. We have investigated Pythagoras, gone out of this world, and solved the mystery of a missing dog. We have supported exam revision, helped develop key numeracy skills, worked out if we are beautiful or not, and much, much more.

Thanks so, so much to all the teachers out there who share their resources and ideas. You are making a huge, positive difference to the teaching and learning of mathematics all over the world.

Roll on ROTW 2016-17!

Craig Barton

Link to the **Maths Community Area**

The post End of Year Review – TES Maths Resource of the Week 123 appeared first on Mr Barton Maths Blog.

]]>The post Which gives the biggest answer? – TES Maths Resource of the Week 122 appeared first on Mr Barton Maths Blog.

]]>The following resource has been kindly shared on the **TES Maths website**. It is available to download for free by registering. And to access all the lovely Resource of the Week (ROTW) resources, just click **here**

**What is it?
**The simplest ideas often make for the best resources, and that is certainly true with this little beauty. It is a starter activity where students get to practise their substitution skills, followed by a single slide that challenges them to decide which of four expressions give the biggest answer. But from this humble beginning comes untold richness! Because, of course, the expression that gives the biggest value depends very much on which values of x you substitute in. Hence, very quickly we move from simple substitution to trial and error, equation solving, graph sketching, proof, and more.

**How can it be used?
**This lesson could conceivably be used with any year group who are comfortable with the process of algebraic substitution. Trying out different values of x is a systematic way will certainly get the students a long way into this task. Depending on the group, it may be down to the teacher to suggest the idea of plotting the expressions on a graph to see how this helps us. The author suggests using Autograph from this, but as I demonstrate in the video, Desmos is an equally suitable, free alternative. And if you needed any more reason to try out this lovely activity, one of the expressions is an exponential one, which makes it perfectly suited to the new GCSE Maths specification. Ideal!

Thanks for sharing!

Craig Barton

Download **“Which gives the biggest answer?”**

View the **author’s other resources**

The post Which gives the biggest answer? – TES Maths Resource of the Week 122 appeared first on Mr Barton Maths Blog.

]]>