On Transum Mathematics, we now have Equatero which John Tranter created having seen the TV game show, Lingo.
The rules are simple – find the calculation – any numbers or symbols in the correct place are shown as green, any numbers or symbols that are correct but in the wrong place will be yellow and any numbers or symbols that are not included in the calculation will be red. Rather an addictive game – but plenty of thinking! This has been added to the Number collection in the Puzzles & Games series.
It’s really helpful when sites have a clear ‘What’s new?’ type section or you can easily search by recent additions and/or subscribe to a newsletter. Just a few examples from the many excellent sites for Mathematics:
On Transum see Breaking News where you will find information on new and updated resources. Current news includes the resources mentioned above, Equatero and Vocabero.
On Dr Austin Mathsselect New from the Menu, I see some more of her always high quality resources – I’m a fan of Fill in the Blanks (as well as all her other resources!) For a whole collection of Fill in the Blanks type resources from various sources, see this post.
For A level students, how about some Christmas Mechanics?! This resource is a collection of six legacy M1 past paper questions covering some of the Edexcel M1 syllabus with a Christmas theme. The questions are taken from 2004 exam papers.
From the brilliant Mathigon site, see Puzzles 2021, and perhaps have a look back at their puzzles from earlier years. Mathigon releases a puzzle at 9 am GMT every day in December; solutions are available on the following day.
In my post earlier this week, Advent – Opening the Christmath doors, I mentioned that some of these Advent calendar resources, provide useful for end of term Christmas activities for examination classes. In this category we have for example:
J Calderwood has provided three Advent Calendars – Advanced Higher, HIgher and N5 Maths for Scottish Students. A great revision resource that could be adapted for different courses.
Added to Bingo resources, try these Bingo retrieval activities from Dan Rodriguez-Clark. This generator has several settings giving you a choice of topics, including some for Post 16, the number of questions and your chosen display settings.
From Matt Woodfine on Maths White Board revision cards and online tests are now available.
Looking at the latest newsletter from Chris Smith, (highly recommended), I see he mentions Stella’s Stunners, this is an excellent site, I featured it in my post on Proof, it has so many excellent resources.
Stella’s Stunners is a library of more than 700 Non-Routine Mathematics Problems for Middle and High School Students; these problems certainly encourage mathematical thinking. You can filter the problems to narrow your search and usefully create a pdf document of your chosen problems. Perhaps try Symbol Pushing or Logic. Try the Introductory Problem Set which consists of twenty problems designed to show you how to use the problem library. A comprehensive user guide is available.
We could hear some different intervals on WolframAlpha which will also give you the pitch difference between the two notes.
Additional information includes the frequencies of each note, you can also find related musical queries. I spent rather longer than a minute on this, particularly having discovered other Music examples on WolframAlpha! You can get information on songs and artists, audio waveforms, and musical instruments as well as Music Theory.
Maths in a minute reminded me of The Mathematical Moments site which features many downloadable pdfs, posters that show the role that Mathematics plays in Science, Technology and Human Culture. A short or more detailed version of each poster is available and a search is provided. This is included in my post on Posters.
Continuing with the theme of Maths in minutes, From Pearson Qualifications, try Tea Break Training, these short videos which offer targeted professional development training on teaching strategies, content areas and support for GCSE Maths.
If you are preparing students for STEP examinations, have a look at this webinar from Nrich which In this webinar Claire explains how STEP questions can be used to help students prepare for a University Maths degree and demonstrates the resources available on the STEP Support Programme. (maths.org/step). This has been added to the University Admissions Tests page which includes many resources for students aiming at high A level grades.
In my Fill in the blanks post, I featured many excellent resources where students must completely partly worked examples including several from a favourite resource author, Andy Lutwyche. I mentioned some of Andy’s latest resources include his Lazy Lionel resources, Lionel does not show his working, so loses marks! Andy has added further to this collection. We also have Hasty Hazel and Methodical Mabel, these are so good and I’m sure can promote excellent conversations in the classroom on misconceptions and showing sufficient working.
From White Rose Maths, Year 11 end of term assessments for autumn are now available free from their secondary assessments page, scroll down for Autumn Foundation and Higher resources. Mark schemes are also provided.
Staying with White Rose Maths …
It’s still November, so remember Barvember, from White Rose Maths, which was created to encourage the use of the bar model. Now you can solve the problems using another great digital tool from White Rose Maths, Bar Model. White Rose Maths completed the solution to their day 10 challenge on the Bar Model tool:
Bar models can really help children visualise and then solve maths problems. See Bar Modelling.
Discussing increasing and decreasing functions with my A level students recently I made the happy discovery that WolframAlpha provides a clear visual representation for such a query, as well as returning the values of x for which the function is increasing and decreasing; we also have the first derivative and critical points.
Since last week’s post on Literacy Skills in Mathematics, I have added resources to that collection. In my post on Proof, I began with the importance of spoken language. Spoken language is so important in students’ development, the KS3 Programme of Study quite rightly stresses the importance of spoken and written language. Both spoken and written language and notation are key. This applies to all key stages from definitions and examples and non-examples at key stage 3 to proof by contradiction – writing negations of statements at KS5. For many students, if their ability to write mathematics clearly and succinctly is poor this may well be a result of their not speaking about mathematics clearly. Conversations in class where students explain their thinking are so valuable.
Resources, where students practice writing expressions from algebraic statements and vice versa, are now included in the literacy post.
My post on Proof includes Magic or Number tricks which can be an ideal way into algebraic proof, try MathsPad – Number Tricks, one of the very generous collection of free resources on MathsPad (search on free), or be dramatic with Number Jumbler from Nrich! I have used this successfully with students from Year 7 to Year 12. Also try the suggested task, Double-Digit.
You can find many activities on Transum, including Perfect Magic Square, which has 9 such puzzles, by the time we get to Puzzle 9 only two clues are given.
Tomorrow sees the start of November, so a good time to remind readers of Wayne Chadburn’s monthly calendars. He writes these calendars to provide regular, varied practice – a little bit of maths each day. In this academic year, he is producing calendars for year 11 students each month from September to April; the calendars for November 2021are available. Note the three versions including crossover questions, Foundation, Foundation plus and Higher.
For November we have Barvember, from White Rose Maths, which was created to encourage the use of the bar model. Bar models can really help children visualise and then solve maths problems. See Bar Modelling.
Back in July, Nathan Day published his very valuable CIMT Complete PDF. He now has a new website: Mr Day Maths where he is adding all the brilliant tasks, displays, resources, and thoughts he has shared on Twitter over the past few years to one place – a new treasure trove to explore! Try Factor Trees, for example, a set of (rather tricky) factor tree completion problems, that’s another lovely resource added to this Fill in the blanks collection.
For some quadratic questions to really get your students thinking, try these non-routine questions from @boss-maths. Follow the thread to the end for the answers!
Matt Woodfine continues to add to his brilliant site, a new addition is Level Up. a programme that targets basic numeracy.
From MEI, for KS3 have a look at these free GeoGebra interactive online classroom activities to support maths recovery at Key Stage 3. You can try the first three of five Algebra resources. Each lesson not only has a GeoGebra activity for use in the lesson, but also one for student independent learning. Full lesson plans and comprehensive notes for teachers are provided.
The collection will be expanded over the coming months to include similar sets of lessons for Number, Geometry and Measure, Ratio, and Statistics and Probability.
On the subject of GeoGebra, for the other end of the school, you will find on the Maths Emporium, a GeoGebra guide for A level Further Mathsavailable to download or it is available with no login needed from the Edexcel website here. These activities have been produced to support teaching or could be used by students for independent study.
I have included many GeoGebra Resources on the GeoGebra series of pages. An extensive library of GeoGebra resources is available from Edexcel for GCSE (with many of these helpful for younger students also) and A Level.