The 1000 Problems site is an excellent collection of resources organised into collections on Number, Algebra, Shape and Space and Statistics. Within each category problems are organised by age and key words and a clear description are given for each problem. Extension questions are available for each category. For each problem a file can be downloaded which includes solutions.
Looking at the Mathematician sample problems for example we see a collection of mostly Junior (Junior level is aimed for those in Middle School/lower High School (in Grade 9 and below)) resources including mixed question sets and also some by topic.
Now on the outstanding Diagnostic Quesions site – United Kingdom Mathematics Trust Quizzes– choose a theme or a quiz with random topics. To use the resources will need to be logged in to Diagnostic Questions. Create an account if you have not already done so as this site with thousands of high quality diagnostic questions and additional analytical features is free and note the reassurance on the site that Diagnostic Questions are giving “you, the teacher in the classroom, a promise that Diagnostic Questions will always remain free.” (See this post for Diagnostic Examination Questions).
From AQA, on their ‘All About Maths‘ site see their Further Guidance and Practice Questions for the AO2 and AO3 requirements of the new 8300 GCSE. The 120 questions in this resource have been selected from legacy specifications which, to quote AQA “exemplify each of the strands of these Assessment Objectives and would therefore be suitable questions for the new GCSE as well.” AQA have arranged the questions in approximate order of difficulty andhave also divided them into those suitable for Foundation tier only, common to both tiers, and those suitable for Higher tier only, as well as by Assessment Objective. To
Remember from AQA we also have the excellent, GCSE Mathsematics: 90 maths problem solving questions. These problems have been designed for use in supporting the teaching and learning of mathematics. There is a helpful intruductory section for teachers and note also the helpful Classification Tables by Strategy and by Content Area. Em, @EJmathshas a brilliant PowerPoint with all the questions and answers – see it here.
Staying with problem solving, on TES Resources cchristian’s Multi-Stage Problem Solving is an excellent resource. These problems could make great starter activities.
The booklet contains over 50 problem solving questions suitable for KS3 and GCSE classes, answers are also provided. Also from the team, their mastery schemes of learning now includes Year 7 material (UK age 11-12); an assessment is also available.
A resource that caught my eye recently is Steve Wyborney’s Splat! Definitely a resource I wnt to explore further; you can read Steve’s blog post and download the lessons here.
Thursday 2nd March is World Book Day; we could bring books and Mathematics together with some Statistics (at any time); have a look at this resource from TES, World Book Day Maths Data Investigationwhere students analyse word length and sentence length in some book extracts. UK readers who remember Statistics coursework, this brings back memories of AQA’s coursework task ‘Read All About It’ where students considered various newspapers and magazines for readability. Note too the launch of a new website, MathsThroughStories.orgis an international research-based initiative which sets out to explore various aspects of integrating stories reading and writing in mathematics instruction.
AQA – Read All About It
The extension task for the TES resource above considers the reading age of a text, you may wish to consider further readability formulae; if you paste some text to this site, Readability Formulasyou can easily check statistics for your chosen text and generate a reading age according to the various tests.
Now there’s an odd title – the link is the tools I have used recently.
They are two of my favourites that stay at the top of my favourites list – WordPress and Diigo.
Diigo because I can save and organise my numerous bookmarks as well as using the research tools for highlighting web pages and adding notes to annotate. Diigo’s facility to create lists is so useful; my latest list on Rich Tasks (Mathematics) puts together some useful links. Most if not all readers will know of nrich, but perhaps not so well known is the New Zealand Problem Solving sitewhich as well as numerous problems with teachers’ notes has guidance on problem solving strategies.
WordPress because it is easy to use, looks great, always reliable and I can share information so easily with my students and with other teachers. What is made available free is superb – I couldn’t resist their new theme, Greyzed (there have been many recently) for my blog with useful links for students.