The post Inverse Proportion: 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 challenging question on circle theorems provided exclusively for my **Diagnostic Questions** website by Edexcel, but suitable no matter which awarding body 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 Direct and Inverse Proportion**

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 Inverse Proportion: GCSE Maths Question of the Week appeared first on Mr Barton Maths Blog.

]]>The post GCSE Revision Trail: 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?**

Well, there is no denying it. We are definitely hitting Revision Season. And this year, with the new more challenging GCSEs making their auspicious debut, there is little doubt that revision with be more fraught than ever. So, I am always on the lookout for a top-quality resource to spice up revision whilst keeping it engaging and useful. And for me, this resource fits the bill perfectly. It is a paired revision activity, covering a whole host of GCSE content, from solving equations to circle theorems. One student answers a question and then feeds the answer to the next student which is needed to answer their question, and the process continues. With each person in the pair relying on each other, this has the potential to spark positive discussions and promote peer-to-peer learning.

**How can it be used?**

The activity is really well structured and should run as the author describes it. As is always the case with activities like these, it is often the classroom dynamic and the mood of the students that can make or break a task. It is also important to ensure that one student in the pair does not dominate and do all the work. With that in mind I would be tempted to impose a restriction that students cannot show their questions to each other. They can describe them, and ask for help, but no direct sharing of questions. That way you should get the best of both worlds – each student will do a decent amount of work, whilst at the same time benefiting from positive discussions with their partner.

Thanks so much for sharing

Craig Barton

**Download: GCSE Revision Trail
View the author’s other resources
**

The post GCSE Revision Trail: TES Maths Resource of the Week appeared first on Mr Barton Maths Blog.

]]>The post Equation of a Circle: 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 challenging question on circle theorems provided exclusively for my **Diagnostic Questions** website by OCR, but suitable no matter which awarding body 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 Other Types of Graphs**

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 Equation of a Circle: GCSE Maths Question of the Week appeared first on Mr Barton Maths Blog.

]]>The post Capture-Recapture Sampling: 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?**

If you are following the Edexcel new maths GCSE, then you may well have noticed the introduction of a delightful addition to the wonderful world of Sampling – the Capture-Recapture method. Something that until now had been confined to Biology classrooms has now happily found its way onto the maths syllabus. The problem is, of course, whenever anything new comes along, there tends to be a relative scarcity of good resources to help teach it. Fortunately, this resource will help take care of many of your Capture-Recapture needs. It consists of a PowerPoint with some really well presented worked examples, followed by a codebreaker activity complete with the obligatory corny joke!

**How can it be used?**

The resource itself is pretty straight-forward: there are worked examples and questions for the students to try. However, there is plenty of opportunity to discuss the logic of the Capture-Recapture technique, its merits and limitations, and the necessary assumptions that make it a valid process. Likewise, you always have the option of challenging your students to make up their own questions, or (and this is my favourite) do a live demonstration of the technique in class using a bag of coloured counters. Maths in action!

Thanks so much for sharing

Craig Barton

**Download: Capture-Recapture
View the author’s other resources
**

The post Capture-Recapture Sampling: TES Maths Resource of the Week appeared first on Mr Barton Maths Blog.

]]>The post Circle Theorems: 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 challenging question on circle theorems provided exclusively for my **Diagnostic Questions** website by AQA, but suitable no matter which awarding body 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 Circle Theorems**

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 Circle Theorems: GCSE Maths Question of the Week appeared first on Mr Barton Maths Blog.

]]>The post TES Maths March 2017 Newsletter appeared first on Mr Barton Maths Blog.

]]>If you haven’t already started, it’s highly likely you’ll be getting down to some serious revision for the upcoming exams in the next few weeks. In anticipation of that, we’ve brought together a collection of lesson ideas designed to help you to consolidate understanding and extend thinking in a variety of topic areas.

As usual, we’ve got the generous and talented members of the TES Maths community to thank for these imaginative ideas. So take a look and be inspired to try something different with your classes.

Craig Barton, TES Maths adviser

**Exploring frequency trees**

Including supporting teacher notes, this engaging presentation not only neatly introduces the topic, but also contains exam-style questions that are ideal for promoting discussion in the classroom.

**Arrangements and permutations lesson**

Covering the new requirement to teach systematic listing strategies, this one-off lesson culminates in a stimulating codebreaker activity to get pupils practising the relevant skills.

*Adventure Time*-themed ratio practice

Liven up your ratio lessons with these captivating practice questions, which pupils must solve in order to save Princess Bubblegum from the evil Ice King.

**Proportion spider activity sheets**

Designed specifically to encourage discussion, these unique worksheets cover all aspects of direct and inverse proportion. The more challenging sheets even involve some surds practice, too.

**Good graph, bad graph?**

Exploring an often overlooked part of the topic, this interesting lesson tasks students to examine a range of graphs from a variety of contexts in order to start a discussion about misleading representation.

**Interpreting cumulative frequency diagrams**

This adaptation of a classic activity nicely links cumulative frequency with box plots, while retaining an emphasis on comparing and interpreting the data.

**Social media plot**

With almost all students on some form of social media, this investigation is sure to interest your class. Handily, it’ll also get them using their estimating skills to predict and describe the spread of information.

**The maths of a fretboard**

Get learners thinking about how geometric sequences can be used to calculate distances on a guitar fretboard with this thought-provoking lesson, including questions to promote positive discussion.

The post TES Maths March 2017 Newsletter appeared first on Mr Barton Maths Blog.

]]>The post Low Stakes Assessments: 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?**

One of my current obsessions is the importance of low stakes assessments. There is little doubt that one of the best ways to test how much students understand about a topic is… well, to give them a test! But, the vast majority of students do not like being tested, and us teachers simply do not have the time to mark each of these tests. This is where quick-fire low-stakes assessments come into play. Give them to students at the end of a topic, they complete them in class, mark them themselves, reflect on what areas they need to work on, and everybody benefits. And this collection is a perfect way to get started. 18 number and algebra topics for GCSE are included, each with their very own lovely, ten minute assessment, covering all the key skills for that particular topic.

**How can it be used?**

I see these being used in two, complementary ways. Firstly, it seems sensible to use them immediately at the end of a topic. This will give you and – more importantly – the students themselves an idea of what they know and what they do not know. But then, I would be tempted to issue the same assessment around 3 weeks later. This will then allow you both to see how much has really stuck, and how deep the level of understanding is. As soon as tests like these become part of your regular routine, and students realise that the inherent usefulness of them, the stress and time-consuming costs of doing and marking tests disappear, and only the benefits remain.

Thanks so much for sharing

Craig Barton

Download: **Low Stakes Assessments
**View the

The post Low Stakes Assessments: TES Maths Resource of the Week appeared first on Mr Barton Maths Blog.

]]>The post Percentage Increase: 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 little question on percentage increase provided exclusively for my **Diagnostic Questions** website by Edexcel, but suitable no matter which awarding body 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 Percentage Increase and Decrease**

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 Percentage Increase: GCSE Maths Question of the Week appeared first on Mr Barton Maths Blog.

]]>The post Greg Ashman – Cognitive Load Theory and Direct Instruction vs Inquiry Based Learning appeared first on Mr Barton Maths Blog.

]]>Greg is a maths and science teacher, originally from the UK but now based in sunny Australia. He is a prolific and influential blogger and is also working towards his PhD in Cognitive Load Theory, something which Dylan Wiliam recently tweeted was “the single most important thing for teachers to know”.

Now, if you enjoyed the educational research aspects of my interview with **Dylan Wiliam**, and the memory related discussion I had with **Will Emeny**, then you are going to love this. We dig deep into Cognitive Load Theory and in particular its implications for Direct or Explicit Instruction versus inquiry or discovery based learning in the classroom. And I will say from the outset – and discuss more in my Takeaway at the end of the show – reading Greg’s work and the research he cites has really changed the way I approach my own teaching 12 years into my career.

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

- How does Greg plan series of lessons, and what would a typical lesson look like?
- Why is Greg such a big fan of joint planning within his department with an emphasis on refinement, and how do new ideas break through in this model?
- Why does Greg believe behaviour management is not something you are born with, but something that can be learned like any other skill
- And then we dive deep into Cognitive Load Theory, where Greg gives a lovely summary of the theory, looking at the role of working and long-term memory, the process of chunking and the dangers of means-end problems.
- We then look at some key Cognitive Load Theory “effects” including The Worked Example Effect, the Redundancy Effect and the Expert Retrieval Effect, each time asking what are the implications for the classroom. The Redundancy Effect in particular has huge consequences for how we present information to students.
- I then quiz Greg about implications for exam preparation, especially how to help students answer those tricky 5 mark questions that call upon a lot of different skills
- Surely if students discover something they will remember it better? Not according to Greg, and he has an anecdote about beer to try to convince me!
- What about the role of puzzles, real life maths, and the story structure of 3 Act Math lessons?
- Finally Greg has some excellent book recommendations, and a wonderful Big 3 selection.

If, like me, you are interested in educational research, no matter how much you have looked into it, I really believe you will find this discussion of great interest. I have tried as much as possible to tease out the practical implications for the classroom – and that is the great advantage of having Greg as a guest. He is a working maths teacher who can put the ideas he reads into practice every single day.

On Twitter Greg is **@greg_ashman**

His excellent blog can be found at: **gregashman.wordpress.com
**Greg’s ebook, “Ouroboros”, is available to purchase

Links to the research that Greg mentions, as well as all the research cited by my previouis guests, can be found **here**

The books Greg recommends, along with those recommended by my other guests, can be found **here**

Greg Ashman’s Big 3

1. **American Education**

2. **Education Echo Chamber **

3. **Research Ed **

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 Greg Ashman – Cognitive Load Theory and Direct Instruction vs Inquiry Based Learning appeared first on Mr Barton Maths Blog.

]]>The post TES Maths ROTD: February 2017 appeared first on Mr Barton Maths Blog.

]]>Here are my February 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 February: A fantastic interactive teaching aid for all aspects of bearings

2nd February: “Make the Totals” is a simple, engaging activity to practise addition and multiplication

3rd February: An absolutely superb non-calculator GCSE revision activity

4th February: A fantastic “tick or trash” activity on adding and subtracting fractions

5th February: A wonderful, rich data lesson about population size and the Olympics

6th February: A superb introduction to Venn Diagrams, using a clear, visual method

7th February: Frosty is back, this time with complete coverage of Indices for GCSE

8th February: A lovely GCSE Starter activity, covering a wide range of topics

9th February: Can you use Estimation to work out how much water the Great Pyramid can hold?

10th February: A lovely use of the New York Subway to study graph theory

11th February: This “Gradients and Distance” Game is quirky, challenging and engaging

12th February: Uses skills such as volume and properties of circles in an engaging, real world context

13th February: A fun activity to practice finding the midpoint between two coordinates

14th February: “Fairground Probability” makes use of sample space diagrams and tree diagrams

15th February: A really nice puzzle involving ordering negative numbers

16th February: A complete, really well structured lesson on standard form

17th February: A top-quality, complete lesson on ratio and scale drawing

18th February: A complete lesson on the basics of laws of indices, complete with lots of activities

19th February: Students must match up sketches, factorised form & the minimum point of quadratics

20th February: I adore this prime factor decomposition logical problem

21st February: A lovely activity to practice very basic multiplication

22nd February: A really useful collection of tricky straight li9ne graphs questions for the new GCSE

23rd February: This football pitches activity is ideal for scale drawings, perimeter & converting units

24th February: A simple, but effective codebreaker on adding and subtracting negative numbers

25th February: A superb GCSE intervention pack on sequences, functions and graphs

26th February: A complete lesson on Iteration for the new maths GCSE

27th February: A superb lesson and worksheet for introducing prime numbers

28th February: This varied collection of 11 Lock Problems is simply superb

The post TES Maths ROTD: February 2017 appeared first on Mr Barton Maths Blog.

]]>The post Handling Data Intervention Pack: 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 often worry about the effectiveness of so-called Intervention in the build up to GCSE. This usually comprises of taking students out of tutor time, or even other subjects, to work in small groups or one-to-one with a teacher or teaching assistant. This is fine, and there is no doubt that any extra help can only be of benefit, but how do we know how effective the intervention has been? This is where this lovely resource, specially on Representing Data, comes into play. Not only does it provide material to use in the intervention session itself (no more frantically searching through textbooks or past papers fro appropriate questions), but also an objective way to measure how successful the intervention has been.

**How can it be used?**

There are three parts to this resource, but I am going to make a case for a fourth!

1. There is a pre-test, which is ideal for deciding which students would benefit for the topic-specific intervention. This could be given as a quick in-class assessment, and even marked by the students themselves.

2. Then there is the Intervention Booklet, rammed full of top-quality questions perfectly aligned to the new Maths GCSE. This could be used in the intervention sessions themselves, or taken by the student to complete at home.

3. Finally, there is the post-test to see how much progress the student has made as a result of the intervention. This is a simple, but effective model.

4. My only addition would be a second post-test to be given to the student around three weeks later. This would then enable you as a teacher to see which concepts have truly stuck, as opposed to simply dangling in the student’s short-term memory immediately following the intervention sessions. Such a test could easily be created by manipulating the numbers in the existing post test.

Thanks so much for sharing

Craig Barton

**Download GCSE Intervention Pack
View the author’s other resources
**

The post Handling Data Intervention Pack: TES Maths Resource of the Week appeared first on Mr Barton Maths Blog.

]]>The post Fraction Application Problem: 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 contextual question on fractions provided exclusively for my **Diagnostic Questions** website by OCR, but suitable no matter which awarding body 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 Fraction Application Problem: GCSE Maths Question of the Week appeared first on Mr Barton Maths Blog.

]]>The post Growing Patterns: 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 have long been an advocate of exploring sequences through geometric patterns, as opposed to just relying on numerical or algebraic representations. Looking at how shapes grow can help students gain a deeper understanding of the underlying rule of a sequence, enabling them to make predictions and generalisations in a way that merely looking at an nth term algebraic rule does not allow. As such, I am a huge fan of the website Visiaul Patterns (http://www.visualpatterns.org/), which contains more patterns that you could ever need. But this amazing resource takes it to a whole new level. For each pattern students are presented with a geometric representation, an nth term, a table of numbers and a graph. Having filled out as much information as they can, they are then challenged to look where the numbers in the nth term formula appear in each of the representations. It is this linking together of different areas of mathematics, spotting connections and beginning to understand why these connections exist, that will give students the depth of understanding they need.

**How can it be used?**

The activity is fully resourced and really well structured. The author suggests running it as a group activity with each member of the group being given a different pattern to work on, before sharing their finding and seeking help where needed from the rest of the group. This seems like an excellent structure to me. As I often say, I would be tempted to have Desmos on hand. In my experience there are not many students who make the link between straight lines graphs and sequences, and this activity really has the potential to solidify that connection, and the ability to instantly generate graphs will come in useful. Finally, there is always the option of giving students a blank card and asking them to create their own patterns, or giving them just one piece of information (the graph, for example), and asking them, to fill in the rest of the card. Excellent stuff!

Thanks so much for sharing

Craig Barton

**Download Representing Growing Patterns**

** **

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

]]>The post Interpreting Grouped Data: 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 question on Interpreting Grouped Data, provided exclusively for my **Diagnostic Questions** website by AQA, but suitable no matter which awarding body 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 Grouped Data**

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 Interpreting Grouped Data: GCSE Maths Question of the Week appeared first on Mr Barton Maths Blog.

]]>The post TES Maths February 2017 Newsletter appeared first on Mr Barton Maths Blog.

]]>It may be the calm before exam season, but that’s no reason to rest on your laurels. It’s hard enough keeping students motivated at the best of times, not least when they’re now well established into the routines of the new term. Luckily, help is at hand.

Once again, the generous and talented members of the TES Maths community have come up with the goods, creating and sharing unique lesson resources to help you to revitalise old topics and discover interesting ways to teach new ones. Why not take a look for yourself?

Craig Barton, TES Maths adviser

**New GCSE specification**

**Venn diagrams introduction**

Introduce classes to Venn diagrams and the accompanying set notation with this simple lesson, which makes the topic less abstract through the use of pictures.**Iteration practice questions**

Complete with an engaging starter, a step-by-step presentation and a tricky worksheet, this lesson is ideal for helping pupils get to grips with the fundamentals of this new GCSE topic.

Factors and primes

**Prime factor decomposition puzzle**

Combining the best elements of a logic puzzle with the revision of finding prime factors, this unique task is a great way of adding richness and challenge while practising a key skill.**Finding factors hints poster**

Help pupils to speed up the process of finding factors of large numbers by displaying this top tips poster in your classroom. Or, for a more regular reminder, why not get them to stick a copy in their books?

Negative numbers

**Directed numbers worksheet**

Use this problem-solving task to get learners adding and subtracting directed numbers in the context of weather, including a handy visual in the form of a bar chart.**Negative numbers codebreaker**

Recap key principles about the addition and subtraction of negative numbers with this simple but effective codebreaker activity, useful as a starter for more-able classes.

Advanced coordinate geometry

**Facial expressions presentation**

Test pupils’ knowledge of the basics shapes of a variety of functions, including reciprocal, circles and cubics, by matching them up to faces in this engaging activity.**Exponential growth and decay**

With links to real-life applications and dynamic graphing software, this well-structured lesson neatly introduces the concept to older students.

The post TES Maths February 2017 Newsletter appeared first on Mr Barton Maths Blog.

]]>The post Surds for GCSE: 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 struggle to remember quite what my life was like in those dark days before I discovered Dr Frost’s amazing lessons.I spent many hours scrabbling around looking for a way to introduce the topic, well presented worked examples, slides of questions, and tricky challenges. Now, when I start my planning for any topic, for first port of call is always to grab one of his PowerPoints. As you will see from this example on Surds, they contain everything you could possible need. There is an overview of where surds fit into to the whole spectrum of numbers, then there are clear notes on the laws of surds, followed by examples for the students to try. This is then followed up whole slides of exercises and GCSE exam questions, each complete with “bro tips” and a beautiful green box than can be clicked on when you and your students are ready to reveal working out and the answers. Finally, there is the dreaded skull and crossbones – a sure sign that a question will stretch even your most able of students

**How can it be used?**

I have one piece of advice for using Dr Frost’s lessons – never use them without first checking them very carefully. I had the pleasure of interviewing **Dr Frost for my podcast**, and the achievement of his pupils is quite staggering. Hence, he has a need to challenge them as much as he can in his TES resources. The result of this can mean that a Dr Frost Year 7 lesson contains questions that your average Year 11 would struggle with, and which have been known to drive more than one of my Year 9s to tears! So, like any resource on TES, check it over, take the parts that you need and are suitable for your class, build it into your own lesson, and then you are good to go.

Thanks so much for sharing

Craig Barton

**Download GCSE Surds
View the author’s other resources
**

The post Surds for GCSE: TES Maths Resource of the Week appeared first on Mr Barton Maths Blog.

]]>The post Composite Functions: 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 Composite Functions question provided exclusively for my **Diagnostic Questions** website by Edexcel.

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 Composite Functions: GCSE Maths Question of the Week appeared first on Mr Barton Maths Blog.

]]>The post Paul Rowlandson – Bar Modelling, Questioning, Shanghai, Tokyo & Training Teachers appeared first on Mr Barton Maths Blog.

]]>Paul is currently the Deputy Director of Learning for Trinity Academy Trust. He is an experienced secondary mathematics teacher, one of the leads for White Rose Maths Hub, and he delivers a lot of training workshops for teachers all around the country on the likes of bar modeling and questioning.

Now, whilst Paul might not be a household name like some of my other guests, such **Dylan Wiliam**, **Dan Meyer**, or **Bruno Reddy**, in my opinion, he should be. And that is not just because he is from the North. Well, not entirely, anyway. Paul is an expert in some of the areas that listeners have most requested we cover, including bar modelling, questioning, Shanghai and advice for teachers delivering CPD. He also speaks very open and honestly about lots of aspects of teaching that I hope you can all relate to.

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

- What is the first thing Paul thinks about when he is planning his lessons, and how has this approach developed over his years as a teacher?
- We delve deep into bar modeling, looking at its strengths and weakness, whether you can just dip into it for certain topics, which type of students the approach works best for, and in a world first for the podcast, we even get interactive as Paul takes us through a couple of bar modelling scenarios, so get a pen and some paper at the ready.
- We look at what makes a good question, and Paul discusses his research into questioning, including what what common mistakes that teachers, including myself, often make
- What did Paul learn from his trips to Shanghai and Tokyo, and how has it changed his approach to teaching?
- What advice does Paul have for teachers running training sessions for other teachers?
- What has made the White Rose Maths Hub so successful, and what are some of the free resources that it has on offer for maths teachers?

** **

As I say, I think this is a fascinating discussion, with lots of practical tips and food for thought. I really hope you enjoy it.

Just a quick reminder that we have a load of free daily revision Streams available at Diagnostic Questions in the build up to the summer’s maths exams. So, whether your students are preparing for their Key Stage 1 or 2 SATs (with questions written by Paul’s very own White Rose Maths Hub, incidentally), the new GCSE, the Legacy GCSE, IB, or even Welsh Numeracy, then we have a Revision Stream for you. Head over to **diagnosticquestions.com/Streams** to find out more.

And just the usual plea. If you enjoy these podcasts, then I would really appreciate it if you could spend a minute to give them a quick review on iTunes, and also it would be great if you could share them with your friends and colleagues. They have been known to help making paving the driveway and being stuck in traffic a bit more tolerable, as well as sending crying new born babies to sleep. Not my original intention for them, but I will take what I can get.

Information about the Bar Modelling Conference on the 16th February that Paul mentioned can be found **here
**The White Rose Maths Hub free Schemes of Learning can be found

Links to the research cited by my previouis guests, can be found **here**

The books Paul recommends, along with those recommended by my other guests, can be found **here**

Paul Rowlandson’s Big 3

1. To get started with bar modelling there’s Char Forsten’s “**Model Drawing in Mathematics**”

2. A practical book about questioning would be Trevor Kerry’s “**Questioning and Explaining in Classrooms**”

3. Teaching and learning in general I would say Douglas Newton’s “**Teaching for Understanding**”

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 Paul Rowlandson – Bar Modelling, Questioning, Shanghai, Tokyo & Training Teachers appeared first on Mr Barton Maths Blog.

]]>The post TES Maths Resource of the Day: January 2017 appeared first on Mr Barton Maths Blog.

]]>Here are my January 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 January: Matching Cubic Graphs with their Equations is great for A Level & the new GCSE

2nd January: This unstructured problem solving activity is ideal for the new Higher Tier GCSE

3rd January: Quite simply the best Golden Ratio resource I’ve ever seen

4th January: 73 slides of every type of quadratic equations practice you could imagine

5th January: 4 Quick Questions is perfect for the start of your lesson, and there are 200 of them!

6th January: This multi-stage problem solving activity is perfect for the demands of the new GCSE

7th January: From straight lines, through to quadratics and cubics, it is all covered here

8th January: I got a bit addicted to Grid Sums in 2016. A lovely, rich activity

9th January: This Pythagoras and Trigonometry question generator is simply superb

10th January: Going for Gold is a series of 10 lessons full of problem solving tasks

11th January: This epic collection of homeworks for all year groups is just incredible

12th January: These revision booklets for the new GCSE are a Godsend for students & teachers

13th January: I’m a fan of low-stakes mini assessments, and this set is ideal

14th January: Two lovely real world setting that make use of ratio

15th January: Some cracking Expanding Brackets differentiated worksheets, with answers!

16th January: My students and I are more than a little addicted to Area Maze problems

17th January: This GCSE Intervention Pack is superb in its coverage and quality!

18th January: A really well presented resource on exponential graphs and their inverse

19th January: A challenging, engaging activity about different forms of straight line graphs

20th January: An introduction to exponential growth and decay with real world applications

21st January: “Facial Functions” is a fun way to quickly assess students’ knowledge of shapes of graphs

22nd January: A fantastic codebreaker using the various laws of indices

23rd January: Dr Frost is back with an epic surds collection. Some flipping tough questions here!

24th January: A wonderful visual sequences activity, building up to quadratics

25th January: This is ideal for Edexcel S1 revision, but could be adapted for AQA & OCR

26th January: A rich, challenging, engaging activity on straight line graphs

27th January: A lovely set of low stakes mini assessments on a variety of topics

28th January: An excellent way to add some richness to place value calculations

29th January: An excellent teaching aid for helping students get comfortable with bearings

30th January: A superb “tick or trash” activity on adding and subtracting fractions

31st January: A lovely plan for a data lesson, investigating population size v Olympic success

The post TES Maths Resource of the Day: January 2017 appeared first on Mr Barton Maths Blog.

]]>The post Angles and Kandinsky: 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?**

Time for a bit of culture on the Resource of the Week! Measuring angles is one of those skills that students need to develop, but can often be a little dull. Well, why not spice it up by having students measure angles and check relationships on the paintings of everyone’s favourite 20th century Russian painter, Wassily Kandinsky! The artist made beautiful use of straight lines, triangles and quadrilaterals, all of which can be measured and checked by students, whilst at the same time exposing them to some lovely art work.Better still, this activity form part of a larger lesson which recaps key angle facts and then goes on to look at constructions, all presented in clear step-by-step fashion.

**How can it be used?**

The lesson that contains the Kandinsky measuring activity is really well structured. As ever, it is important to adapt it to the needs of your class and your teaching style, inserting, removing and modifying slides accordingly. This task could also lead to students finding other mathematically inspired artwork for homework and bringing in their findings. Or, why not see if you have your own budding Kandinsky in the class by setting them the challenge of creating an piece of art that contains at least three geometrical facts? If you do, and given that Kandinsky’s paintings regularly sell for multi millions of pounds, make sure to negotiate 20% of any future profits.

Thanks so much for sharing

Craig Barton

**Download Drawing and measuring angles- Kandinsky
View the author’s other resources
**

The post Angles and Kandinsky: TES Maths Resource of the Week appeared first on Mr Barton Maths Blog.

]]>The post Distance Travelled: 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 Direct Proportion 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 under a Graph**

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 Distance Travelled: GCSE Maths Question of the Week appeared first on Mr Barton Maths Blog.

]]>The post Circle Theorems Secret Question: 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?**

Unbelievably, this is lovely activity is the very first resource created and shared by its author. Taking the idea of Exit Tickets but turning it on its head, the concept of a Secret Question is that students are each handed one at the start of the lesson, and have the duration of the lesson to complete it, along with whatever other work they are doing. They then give the slip back to the teacher at the end of the lesson, allowing for some quick and meaningful assessment. The advantage of this over the quick-fire Exit Ticket is that the questions selected can be more long-form, less structured and more challenging. Indeed, as can be seen in the resource itself, the concept lends itself particularly well to a demanding topic such as Circle Theorems, especially with the exception for the new Maths GCSE that students are able to prove why the theorems work. Students will certainly benefit from the extra time allowed to discuss and consider these, before submitting their answer to the secret question!

** How can it be used?**The format of the activity is clearly explained by the author herself. I guess one challenge will be ensuring that the students do not spend the entire lesson on the question to the detriment of the other tasks they are supposed to be working on, but that will get sorted as they become more experienced with the Secret Question. As with Exit Tickets, I really like the discrete nature of the Secret Question. I find that students are far more likely to be honest with their attempts, and communicate any weaknesses, when asked to do so privately via a question that they hand in to the teacher, as opposed to any whole class questioning or assessment activity. I just wish the first resources that I created were this good!

Thanks so much for sharing

Craig Barton

**Download Circle Theorem Secret Question**

The post Circle Theorems Secret Question: TES Maths Resource of the Week appeared first on Mr Barton Maths Blog.

]]>The post Direct Proportion: 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 Direct Proportion 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 Direct Proportion**

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 Direct Proportion: GCSE Maths Question of the Week appeared first on Mr Barton Maths Blog.

]]>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.
- 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 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.

]]>**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**

Links to the research that Tom mentions, as well as all the research cited by my previouis guests, can be found **here**

The books Tom recommends, along with those recommended by my other guests, 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.
- 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 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.

]]>**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

**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.

]]>**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.
- 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 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.

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 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 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 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 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

Links to the research that Dylan mentions, as well as all the research cited by my previouis guests, can be found **here**

The books Dylan recommends, along with those recommended by my other guests, can be found **here**

Dylan gives some background on his favourite number, Skewes Number, **here****
**The SMILE Cards that Dylan talks about are available to download for free from by registering at the STEM e-library 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

**mrbartonnmaths.com**

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

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