Knowledge Organisers – updates

Some updates to this popular collection…

All resources are included in the Knowledge Organisers collection which includes resources for KS3, KS4 and KS5 (ages 11 – 18).

My post on Knowledge Organisers begins with some comments on an organiser from William Emeny, realising the original link to that organiser is broken as sadly, Great Maths Teaching ideas is no longer available, I have uploaded the file I discussed to the post.

William Emeny – Polygons, angles and parallel lines

Mrs D Maths – Binomial Expansions

Last week I noted that Mrs D Maths has been writing Knowledge Organisers for A Level Maths, ( free on TES Resources). She is still busy, we now have a knowledge organiser on Binomial Expansions.


For a collection of Cornell notes linked to topics found in the Maths curriculum see Mr Hawes Maths.


Helm Notes – Basic Algebra

On the subject of notes, a reminder of the brilliant series of Helm Notes for older students.


Mathematical Miscellany #87


Mrs D Maths – Knowledge Organisers

Mrs D Maths has been writing Knowledge Organisers for A Level Maths, ( free on TES Resources). These are included in the Knowledge Organisers collection which includes resources for KS3, KS4 and KS5 (ages 11 – 18). Very recently, she has written an organiser for Year 2 Functions and Graphs.

These organisers are included in the Knowledge Organisers collection which includes resources for KS3, KS4 and KS5 (ages 11 – 18).


PixiMath – A Level Baseline Intervention Booklet

Looking ahead to return to school for UK schools, from Pixi Maths see the A Level baseline assessment. This very useful set of resources includes solutions as well as the baseline test, a question-level analysis and also an intervention booklet and solutions.


OCR, Bridging the Gap – A Student Guide

Staying with the Transition from GCSE to A Level, this post, GCSE to A Level Transition includes a resource collection for students starting A Level Maths, and supporting their Year 12 work.


I was very interested to see this article from NCETM on Three calculations to encourage and support fluency. Note the acknowledgement; the examples are from Gwen Ineson and Sunita Babbar, from Brunel University. See a related chapter, part of a wider publication, by Gwen Ineson and Sunita Babbar in Mental maths: just about what we do in our heads?


From the GeoGrebra resource team, a resource to interpret meanings of different rates of change across a graph that represents the water level in a hot tub.

For some more watery demonstrations, see Pouring and Filling.


See the page Exam Results 2023 for results statistics and grade boundaries from the UK exam boards.

FFT Education Datalab, check their blog for the latest information. See A-Level and other level 3 results 2023: The main trends in grades and entries.

Graham Cumming on Twitter has been crunching the numbers since the A Level results were published.

Graham Cumming

From the archives…

Looking at blog statistics, I see regular searches for the still really useful Tarsia software, which I first wrote about back in 2010; there are many resources available, Craig Barton has a section of his website devoted to Tarsia – note all the ideas here for using Tarsia in the classroom and TES Resources host an extensive collection of Tarsia Puzzles.

Remember you have a choice of resources you can produce from a table, illustrated here is an extract from a Domino activity on logs.


Another post popular this week is on GeoBoard activities, the post includes various online GeoBoards and some great c; classroom activities.

Trangles on a 3x3 piboard
National Strategies – Exemplification Examples: Geometry and Measures
Mathisfun – Area of Polygon by Drawing

Summer Maths 2023 updated…

I have recently updated the Summer Maths 2023 post to include the following ideas and resources:

From ATM, see the Summer Solvers series, For Twitter users these are tagged #summersolvers. Each day in August, at 10 am, ATM are posting a problem from their archives for a range of age groups, we have problems to work on for KS2 to KS5 (UK ages 6 – 18).

For August 4th we have Number Spirals, from 30 Years On, a collection of classic mathematical ideas and activities. Note that you can look inside the book and the pdf includes 2 problems, Fractional Triangle and Number Spirals.

ATM – 30 years on
Dietmar Küchemann – Geometric Sparks, created on Autograph web

August 4th: from Geometric Jolts see this post, Geometric Sparks also Dietmar Kücheman’s blog.

August 3rd Fault Lines from Points of Departure – I recall using Points of Departure when GCSE coursework first appeared!

    …and on the subject of GCSE coursework, there are some classics in this old Edexcel document. Who remembers T-Totals and Opposite Corners?!


    For many investigations, see this series of pages. Anyone for Diffy?