Inspired by Jonathan Hall’s (@StudyMaths) excellent session on Completion Tables at Maths Conf31, I have been reminding myself of all the excellent fill in the blanks type resources available and have updated my original post on this. Now available as a page, Fill in the blanks can be found as part of the Problems & Activities Collection. Several new activities have been added to the original.
Trigonometry (Area) – Fill In The Blanks, Andy Lutwyche
There is also a good deal of evidence that the use of worked examples can be helpful in introducing new ideas (Booth et al., 2017; Sweller et al., 2019). Particularly effective are ‘completion problems’ where students are given partial solutions and required to complete them. These can help students to focus on the examples but also manage the difficulty level while retaining authentic tasks
Great Teaching Toolkit – Evidence Review, June 2020 Rob Coe, C.J. Rauch, Stuart Kime, Dan Singleton
Check the galleries here for images of some of these great resources, all the details are available on the page Fill in the blanks…
Andy Lutwyche
Ratio and Proportion, Andy Lutwyche
Andy Lutwyche
Quadratic Formula, Andy Lutwyche
Dr Austin Maths
TickTockMaths – Rationalising the denominator
Starting Points Maths, prime factorisation
Starting Points Maths, Collecting like terms
Access Maths, Algebra
Purposeful Maths, Expanding double brackets
Purposeful Maths, Completing the square
Distributive Property, Open Middle
Rob Southern, Coordinate Geometrye
Coordinate Geometry Table, Transum, Adapted with permission from a learning resource created by Rob Southern @mrsouthernmaths.
March 8th 2023 is International Women’s Day. We’ll start with an image I have shared before that I think still says it all! Thank you, Steve Lomax (Photo courtesy of the wonderful children of Mansfield Green E-ACT Primary, @mgeact@EducationEACT)who shared this wonderful response to the task ‘Describe a mathematician’…
From Lucy Rycroft-Smith, see this wonderful collection of books about Maths by women. Lucy has chosen 13 books, I like the way she has categorised the books, a book for the artist, for the rebel…. Brilliant – I can see some in there I want!
Note too the 30-minute presentation, Why Study Maths, for students and parents/carers which is about the importance of studying maths post-GCSE. It outlines the options available and provides compelling reasons for choosing to take an advanced maths qualification. Slides and speaker notes are available to download. These resources could be an excellent way of helping Mathematics Departments link curriculum learning to Careers, for all students, helping to meet the Gatsby Benchmark on this.
ThoughtCo: Women in Mathematics Historyfrom Hypatia of Alexandria (355 or 370 – 415) to Amalie ‘Emmy’ Noether (1882-1935)Lewis, Jone Johnson. “Women in Mathematics History.” ThoughtCo, Feb. 11, 2020.
The A Level Maths series of pages features many resources for teaching A Level Maths. Following last week’s post on Worked Examples – A Level Maths and Further Maths, I thought it would be useful to include a page in the series of sites which are easy to search for questions by topic for Maths A Level.
It seems appropriate to begin with this brilliant resource from Transum Mathematics. I have often recommended GCSE Refreshing Revision, just like the GCSE version this Advanced Level version allows teachers to select the concepts required; the questions will change instantly to show your choices. It is also possible to drag the panels so that the questions are ordered as you choose. Refresh the page and you will get different revision questions on your chosen topics. The ability to save the web address for a chosen selection is very useful indeed.
This resource like all the Transum resources is free to use, an extensive collection of resources such as the various KS3 and KS4 self-checking exercises provide answers for any user. Answers for some resources such as examination questions and this Refreshing Revision resource are provided for subscribers; extremely good value for money in my opinion.
On Doctor Oliver Mathematics you will find an extensive library of worked examples, access these via examination papers or choose questions by topic. It is so valuable that the question and solution are presented together. At A level you will find both Mathematics and Further Mathematics.
From Maths Genie, we have A Level worked examples; videos and questions by topic are available for both AS and A Level.
Andy Lutwyche – Erica’s Errors series
Stoke Maths
Stoke Maths MEP Starters are very attractively presented high-quality resources. Looking at the Spot the Mistake PowerPoints for example, as you can see in the image below there are a great collection of questions that include full answers. It’s great to see Mechanics and Statistics collections. The revision question starters provide very useful question sets.
From Physics and Maths Tutor – see Maths Revision which includes GCSE, Maths, Further Maths and International A Levels questions by topic.
From ALevelMathsRevision.com A Level Maths Exam questions by topic. The questions are legacy questions but are chosen for relevance to the new specification. See also:
On ExamQ from Mr Watts you can quickly search for Edexcel Maths GCSE and A-Level exam questions. You can choose from GCSE Foundation or Higher, AS or A level, you can also select by exam series, paper, area and topic.
The interface is very clear indeed, easily display the questions or mark schemes.
On MadAsMaths, hover on Maths Booklets for a dropdown menu of questions available by topic. Basic Topics – Various includes several topics from Pure Maths quoted as suitable for:
providing enrichment material for very able G.C.S.E students. (most booklets)
covering the typical first year non calculus material, of a two year course in A Level mathematics.
introducing/revising various non calculus topics to undergraduate students in degrees not requiring A Level mathematics.
Note the inclusion of the solution – increase the magnification to view these:
Dr Oliver Mathematics is an excellent site for A Level Mathematics and Further Mathematics.
On Doctor Oliver Mathematics you will find an extensive library of worked examples, access these via examination papers or choose questions by topic. It is so useful that the question and solution are presented together. At A level you will find both Mathematics and Further Mathematics.
Doctor Oliver Mathematics
Note also the sections on Proof for A Level Maths and also Further Maths, and the definitions for Year 12.
I have added this brilliant site to the following collections:
One of the Lesson Planning series of pages is on Misconceptions, this has been updated recently to include examples of helpful material from the examination boards which address common misconceptions, such resources can promote very useful class discussion as can examiners’ reports.
Edexcel’s A Level scheme of work which is freely available on their website includes for each section, Common misconceptions/examiner report quotes. The point made in the notes which follow is such an important comment, I have seen many errors that would have been avoided if only students had looked at a picture of their work.
From Tim Brzezinski, here’s a lovely collection of Open Middle themed problems where students build special quadrilaterals in the coordinate plane so vertices have no repeated coordinates.
On the subject of quadrilaterals, have a look at this new resource, a Measuring Shapes workbook from Curriculum for Wales.
