Daily Lessons

A closer look at the daily lessons from White Rose Maths. These lessons are available for Early Years through to Year 10

Perimeter - White Rose

White Rose Maths – Daily Lessons

To take, Lesson 3 – Perimeter including problem solving from Year 7, Week 5  (the lesson menu will open at Week 12, scroll down for earlier weeks) as an example, the subject for Year 7 was Perimeter. White Rose Maths provide a video of approximately 8 minutes in length. The presentation is excellent with very clear explanations and examples. Following a recap of what perimeter is including worked examples, the video then poses the example – Draw and label a sketch of a rectangle with a perimeter of 24cm and goes on to ask how many different rectangles with a perimeter of 24cm students can find if the side lengths are integers. Students are instructed at this point to pause the video lesson, to work on the problem, they can then restart the video to check their work. Following that problem students are given further problems to work on, including drawing and labelling a sketch of an isosceles triangle with a perimeter of 21cm, a rather nice demonstration of the triangle inequality for students (mathisfun has so much good material).


Further examples go on to combine geometry and algebra, forming and solving equations for the total perimeter. I like the Spot the mistake example – these lessons are really well structured and include more challenging problems as well as basic examples. Students who have the Worksheets from White Rose can work on those, but for students who do not have the White Rose Worksheets BBC Bitesize provides the

Algebra KO extract Nicola Whiston

Also – a wonderful complement to these resources we have Nicola Whiston’s amazing collections of Key Stage 3 Knowledge Organisers (see also Knowledge Organisers – Mathematics) which follow the White Rose Schemes of Learning. She is sharing the collection here, via Dropbox. These are really attractive and I think will appeal to students. For consolidation and review these are perfect.

Mathematical Miscellany #41

Following on form my post on Don Steward last week, it is wonderful to learn from SHaW Maths Hub that Don made arrangements for his blog to remain freely available. So his outstanding resources remain for Mathematics teachers and students.

For a free online whiteboard tool for teachers and classrooms try Whiteboard.fi. You can read about the features here and follow News and Updates. There are now Basic and Premium plans but the free plan does allow a temporary whiteboard (2 hours) with a link provided so students can join; it is also possible to insert an image as shown below. See Pricing.

Whiteboard fi Diagnostic Questions - White Rose AlgebraThe ability to insert an image is excellent, given that each student can only see their own board and the teacher’s it strikes me that Diagnostic Questions could be so useful here. Display the question, have students put their answers on their boards and the teacher will be able to see the responses of all the students. The image featured above is from the White Rose Maths Collection which features quizzes for each topic unit for their Years 1 to 8 maths mastery schemes of work. Remember there are numerous collections including GCSE questions from the examination boards and a collection of problems adapted from the UKMT Mathematical Challenges.

Maths At Home
Alison Clarke-Wilson shared this blog on Research-based Effective Online Teaching Strategies

Algebra KO extract Nicola Whiston

With revision and review of the year’s work a feature of this summer term, perhaps a good time to remind readers of of some Knowledge Organisers for Mathematics and their use.  This post includes Nicola Whiston’s collection of Knowledge Organisers which follow the White Rose Schemes of Learning, she is sharing the collection here, via Dropbox. These are really attractive and I think will appeal to students.

See also posts tagged Maths At Home.

The 100+ Best Website on the Internet – MakeUseOf
From MakeUseOf, a comprehensive list of The 100+ Best Websites on the Internet in helpful categories. I am pleased to see WolframAlpha in there and noted a query type I had not seen before – simple word problems. See more examples of Word Problems.
(and All Examples by Topic).
Word Problem

Information is BeautifulA reminder of the very beautiful data visualization site, Information is Beautiful; learn via some amazing infographics. Their main coronavirus graphics are interactive and generate themselves from the latest data.

Don Steward

Don Steward sum amd product

Don Steward – sum and product, March 2013

There can only be one post to write this weekend; I was so sad to hear of the death of Don Steward, such an inspiration to Mathematics teachers, I’ll simply share some resources as Jo Morgan has suggested. Note all the tweets on Twitter with people sharing their favourites.

I was delighted to meet Don Steward at the event Jo mentioned in her own post, a Saturday morning she organised at her old school, #mathsmeetglyn with Don Steward (Jo has included all the slides from his presentation in her post), and again later at the 2018 ATM – MA London Branch Summer Conference; he was such an engaging presenter, his passion and enthusiasm for Mathematics shone through each time I heard him.

ATM in this news item have included an early article from Mathematics Teaching giving an account of a lesson and his reflections on it.’

Don Steward linear equationsOn Don Steward’s Median blog, his posts are carefully tagged so for example, for a superb collection of ideas and student exercises for solving linear equations see all Don Steward’s posts tagged linear equations. Many of these outstanding resources use a very visual approach with very clear diagrams to help students’ understanding.

Don Steward diffy

Don Steward – diffy, March 2012

In all his posts, Don takes a problem and develops it so well, really getting students thinking. As with many posts a PowerPoint is available, check the diffy PowerPoint for some brilliant ideas.

Don Steward Diffy Algebra

Don Steward – diffy, March 2012

Don Steward algebra rearrangement

Don Steward – rearrangement quiz questions, January 2016

Don Steward has so many outstanding resources on his Median blog, including multiple choice quizzes, see this on rearrangement for example. Note that he also has a separate blog for GCSE practice resources. many of these quizzes are multiple choice.

Don Steward, combined functions

Don Steward – combined functions, April 2017

Don Steward 160 students

Don Steward – 160 students, February 2019

Don Steward, bits and bobs

Don Steward – bits and bobs, February 2013

Don Steward bracelets or necklaces

Don Steward – bracelets or necklaces

It seems appropriate to end with Don Steward’s last entry, what’s gone wrong? on April 18th 2020 on his Median blog.

what's gone wrong.

Don Steward – what’s gone wrong? 18th April 2020

More Maths at Home – AMSP

The AMSP (Advanced Mathematics Support Programme) has developed resources to assist teachers and students during school and college closures. The resources focus on target groups of students to support their progression from Year 10 to Year 13 (ages 14-18) and beyond.


Note the menus for Students and Teachers at the top of the page which help you find appropriate resources. Choose the Student menu, then the appropriate option for the level of study.

amsp year 10For Year 10 enrichment activities are available. The student files are a series of slides which a teacher could present online or students could use independently. Teacher notes are available for each activity. The Collatz Conjecture slowed the writing of this post! A great activity, I like the Numberphile video from Alex Bellos which provides a wonderful introduction to the activity.

Whilst preparing our Year 10 students for further study looking at interesting mathematics like this, particularly in the current situation, will add variety to their work at home.

amsp year 11For Year 11 GCSE to AS and A level Mathematics transition resources will be so valuable. These resources on essential skills are really well structured, with a skills check, practise exercises with solutions, and a chance to explore some enrichment ideas. These materials should really help students prepare for A Level Mathematics.

See also MEI’s Support Resources page and schools can register with AMSP here.