Mathematical Miscellany #16

A resource miscellany this week, a reminder of where to find excellent teaching resources provided by the examination boards and also from MEI.

MEI, AQA, Edexcel and OCR (also Eduqas, part of WJEC) provide excellent support for teachers. With GCSE and A Level subject content now the same for all the examination boards we have an excellent library of resources to use irrespective of the specification chosen for public examinations.

MEI have produced such a valuable collection for teachers with the latest addition to their work on Problem Solving. See their Problem Solving examples and solutions. As well as all the problems and solutions with very valuable suggestions and commentary, MEI have provided a guide to support teachers with the problem solving content of GCSE (14-16) and A Level (16-18).

At A level MEI’s Interactive Scheme of work includes a resource for each section of the course. See also, MEI on integrating technology into your scheme of work which includes many calculator, Desmos and GeoGebra tasks.

See also MEI Free Reources and a page added to the GeoGebra series on the MEI GeoGebra Institute.


AQA

TeachIt

TeachIt Maths

 


Edexcel

  • GCSE Teacher Support includes new content resources, a worksheet collection for Foundation and Higher, teaching low attainers and formulae posters.

    Edexcel Codebreaker

    Edexcel Worksheets

  • Teaching and Learning Materials includes an extensive collection from baseline tests for younger (KS3, age 11-14) students to demanding GCSE (age 14-16) Problem Solving questions. The Problem Solving questions with full mark schemes are excellent as are the Practice Papers and topic tests.
  • Teaching and Learning Materials – A Level 16+ a wonderful and growing collection
  • Signing up to the wonderful Mathematics Emporium is highly recommended, note that it is a free website intended for the use of teachers of mathematics in secondary schools, regardless of what board you useRegister for an account and ensure you supply a correct centre e-mail address in your name for verification, your centre name and centre number. In the GCE AS/A Level Mathematics cabinet you will find documents for GCE 2017 including baseline tests and unit tests, also Transiton materials for GCSE to A Level. More will be added to these collections.Edexcel Empoium

 


OCR


Statistics – The large data sets and more for Advanced Level Statistics from AQA, Edexcel, OCR and OCR (MEI) can be found on this page.
GeoGebra Regression


Eduqas is part of WJEC and offers Ofqual reformed qualifications to secondary schools and colleges. Eduqas has many very useful secondary and vocational resources for Mathematics. Note the series of resources for topics new to the GCSE specification.
Educas - Venn Diagrams


 

Mathematical Miscellany #15

From Colin Foster on Nrich we have Mathematical Etudes where he discusses lovely rich tasks and tedious exercises!

Colin Foster

Colin Foster – Mathematical Etudes

An important read as we begin another school year I feel, the more our students have to think about a task, the more they will learn. I agree with Colin liking the factors task, I have used this approach successfully in class too. In fact we can extend the task and look at finding numbers with varying numbers of factors.

Factors nzmaths

How many Factors – nzmaths

How Many Factors on nzmaths requires students to  find ways to group numbers, which numbers have only two factors and which have only three factors?

For more from Colin Foster his KS3 Instant Maths Ideas (3 books) are freely available online; these contain a wealth of ideas to try in the classroom. Colin Foster is an Assistant Professor at the Centre for Research in Mathematics Education in the School of Education at the University of Nottingham.

Colin Foster - Instant Maths Ideas


From PhET Simulations one of my favourites is now available in HTML5 collection: Projectile Motion.

Projectiles
PhET Projectile Motion

I have included a page on PhET simulations in the Tools and Calculators series of pages, part of the Lesson Planning collection.


Educas has many very useful secondary and vocational resources for Maths. Note the series of resources for topics new to the GCSE specification.
Educas - Venn Diagrams


Dr Frost slideI have mentioned Dr Jamie Frost and his plans for the new A Level specifications. Dr Frost has been very busy producing a complete set of resources for Pure Mathematics 1, I do like the fact that Dr Frost has included extension questions for each chapter. These resources reference an Edexcel text but of course the content is common to all qualifications so all the explanations and worked examples for A Level. I have included a page for Dr Frost’s resources as part of the A Level series. Note the collection of extension questions mapped to the new specification.

Dr Frost has some brilliant ‘Just for your interest’ posters; see this for example on e. He has put the complete collection of these together. Follow Dr Frost on Twitter.


For more A Level (UK 16+) resources, Danielle Moosajee has a growing collection of A Level resources on her site PixiMaths, Check her KS5 Teaching Resources Index. The resources include very clear PowerPoints, associated questions and student self-assessments.


A consistently popular post on this blog is one on online whiteboards. All resources / links have been checked and I have removed resources which have not been updated for some considerable time as I think this is a cause for concern regarding the longevity of the resource.

doodle.ly

Doodle.ly



With UK examination results recently announced I have put links to the results statistics and grade boundaries on the Results 2017 page. Also included are some interesting links from Schools Week, see A-level results 2017: UK subject tables which compare results from 2014-2017. Also from Schools Week, on GCSEs – GCSE Subject Tables and “The 7 most interesting things we have learned”

An important read I feel on such Statistics from Cambridge Mathematics, Examining our own statistical literacy on results day. which makes such important points about the size of the dataset required for it to be explored in context.


And finally, here’s a great read from Shaun Allison on Getting off to the best start with a new class.


 

 

Mathematical Miscellany #14

Years 7 and 8 (UK ages 11-12 and 12-13) Summer Assessments

WR 7 & 8 Assesments

From the White Rose Maths Hub, (@WRMathsHub on Twitter) Year 7 and 8 Summer assessments.  I have mentioned the White Rose team before, recall their excellent Problem Solving resource.White Rose Maths Hub problems

The GCSE Problem Solving Questions of the Day – Compilation  available free on TES Resources. The booklet contains over 50 problem solving questions suitable for KS3 and GCSE classes, answers are also provided.


GeoBoard Activities
Answering a question from a reader on unique triangles on a 4×4 GeoBoard, I have updated GeoBoard Activities to include the solution to this and also added several new activities, including the use of GeoGebra.
GeoGebra GeoBoardGeoGebra isometric dot paper


Staying with the subject of GeoGebra, I discovered some very nice resources by Tom Carpenter,  I do like his Line Graph worksheet which demonstrate how to draw a line graph and/or how to interpret a line graph.
Line Graph, Tom Carpenter
As I mentioned in last week’s post on GeoGebra, even if you are not familiar with GeoGebra, there are so many resources already available ready to use.


I have mentioned the excellent PhET simulations before. This on Least Squares Regression provides a very easy to use demonstration. Try and find the line of best fit then see how closely your line matches the actual line.
PhET Residuals
On this subject you can also very easily use GeoGebra, Desmos, or WolframAlpha for regression, full details with examples are provided here.
GeoGebra Regression


See more posts in the Mathematical Miscellany series. Collections of mathematical goodies!


 

Mathematical Miscellany #13

TES Resources
From TES, comes a collection of esources hand-picked by the Tes Maths Panel, organised by topic area and selected for their relevance to the new specifications. This is an extensive collection of quality resources. Checking Probability for exmple we see an excellent selection of free resources, including Venn Diagrams for teaching and learning.
Venn Diagrams TES
This Venn Diagrams post with many resources for teaching this topic has been updated to include the TES collection.


Another update to the Venn Diagrams collection comes from Transum.

Venn Totals Transum

Transum

Try Venn Totals 4 different levels of exercises which can all be checked are available. Level 1 – Reading information from a Venn diagram containing two intersecting sets. Level 2 – Reading information from a Venn diagram containing three intersecting sets. Level 3 – Adding information to a Venn diagram containing three intersecting sets. Level 4 – Adding information to a Venn diagram containing three intersecting sets with some problem solving required. There are also exam style questions, to see the worked solutions a subscription is required.

I have written on Transum before, with its very clear Topic Index for Teachers also, for students a Maths Map with numerous activities to support their learning the site is very easy to navigate. The resources are very clear and attractively presented, they display well for demonstration in class as well as being very good for self study for students.
Look at this series on Transformations for example:
Transformations
Level 5 is on transformations and matrices, very useful for older students studying Level 2 or A Level Further Maths.


This GCSE Exam Preparation resource from JustMaths made me smile, a lovely mix of humour and some very useful reminders.
Preparation

Mel’s inspiration came from Edexcel’s Maths Emporium Guides to Life: GCSE Mathematics Examinations. Brilliant!
Edexcel GCSE Maths Guide to Life


On the subject of student advice, one of my Year 11 students asked me to confirm for her which transformations are examined at GCSE, a slight change here from the old spec hence her question. I answered her question with a post on Mathematics for Students as I thought it would be useful for others. Transformations of graphs includes Desmos pages for reflections and translations as required at GCSE (see GCSE content on Algebra:

13.sketch translations and reflections of a given function.

The post also includes a couple of examples on finding the equation of the transformed graph.
reflections-graphs

Another query was just a quick reminder on the required constructions.
bisect angle Math Open Ref


A reminder from Mathematical Miscellany #12, I am very much looking forward to trying Jamie Frost’s wonderful homework site with my Year 9 group.
dfm


And finally another reminder because I think it is such an important resource – just in case you missed the news that Underground Maths are helping teachers everywhere who are preparing for the new A Level. Many brilliant resources suggestions are clearly mapped to the subject content for the new A Level.
resources-by-specification

 

 

 

 

Mathematical Miscellany #12

On his outstanding website full of very high quality resources, drfrostmaths.com, Jamie Frost has now launched his new Homework Site.

Completely free this does a lot! Practise questions on National Curriculum and enrichment topics, choosing questions by topic and by diffculty, perhaps choose UKMT Maths Challenge questions as these are in the extensive database too. Students can practise independently and earn points and trophies. Teachers can set and monitor work using the powerful Data Analytic Feature. I will certainly be trying this with my students and easily uploaded my Year 9 class which took moments.

Something I alway do is add myself to my classes so I can get the student view, Colleen Student is a very busy student – she’s in a lot of classes! Jamie Frost has this as an easy feature already provided; you can be Demo McDemoFace (love the name!) in any class.

So here’s Demo McDemoFace practising her Algebra!

DrFrostMaths

What a sophisticated way to choose questions, not just the subject but the difficulty as well and additional skills to include or exclude.

So I can confirm that it is very easy to use as a student, Demo McDemoFace did a bit of Algebra and earned a trophy!

The interface for entering solutions is intuitive and very easy to use,

dfm3

Explore this site and sign up your students. Thank you Dr Frost from teachers everywhere! This looks superb. More to follow on this.


MEI have published this video (18 minutes) to introduce features of the new MEI AS/A level Maths specs, explaining the decisions made and how they support good teaching, learning and assessment. MEI’s YouTube Channel includes this and other helpful videos. This is helpful in its discussion of the new requirements for Statistics


On the subject of new A Level Specifications I am working on the series of pages on  A Level Reform. There have been several updates recently, a work in progress, there is much to do here and I am very much looking forward to working with the new specification. Using for example Desmos is something I do all the time anyway so I am delighted that the new specifications require the Use of Technology. Quite right too to assess the Use of Data in Statistics and the use of large data sets. MEI discuss their use of Data in the video above.


For schools who use AQA’s excellent Level 2 Further Mathematics Qualification, news from AQA states that this qualification has been extended and will be available for all students in 2019. AQA’s intention is “to redevelop it for first assessment in 2020 to ensure that it still fulfils its stated purpose of filling the gap between GCSE Maths and further studies in Maths at Level 3.”

My Year 11s this year have been studying both AQA’s GCSE 9-1 course and the Level 2 Further Maths; these have made a wonderful complementary pair. Many of the Further Mathematics questions have provided additional practice for the standard GCSE course. The extension will allow us some breathing space to keep working on the new GCSE course and take on the new A level specifications.


And finally..
This has been doing the rounds recently and illustrates beautifully that caution is required in our statistical analysis! Be a little wary of summary statistics! From AUTODESK Research, “Same Stats, Different Graphs… Note that you can download a detailed paper by Justin Matejka and George Fitzmaurice of Autodesk Research.