The people running Bedford bridges mini-marathon in England, UK want to extend the number of bridges it crosses. Bedford, England has a great many bridges. Can you find a route that crosses each bridge only once?

I have simply transformed the work of superb artist angelustenebrae into poster form (A2). Simultaneously beautiful and informative.

At present it is a bit of a bind converting from Pearson “steps” from Pearson’s Key Stage 3 and Key Stage 4 (GCSE) unit and termly tests to GCSE grades. This spreadsheet simply undertakes the mapping and provides a -/on/+ range within each grade. If anyone from Pearson is unhappy with this being placed on this website, please do contact me so we can discuss our comparable levels of time and effort and a just and equitable solution for busy teachers using the Pearson tests but needing to record and share GCSE-level marks for pupils, parents and internal and external reporting. NOW UPDATED FOR PEARSON’S NEW KS4 UNIT TESTS (July-September 2018)

Self explanatory. Identify gradient and y-intercept of line so correct shot is taken by laser to stop Kim Jong Il’s missiles. If the wrong equations are chosen, and the back-up fails, the consequences are clear…

A 4 question refresher (covering a few options / decisions re. estimating & rounding), with worked solutions. Useful for mini-plenary, plenary or starter. Designed to open pupils’ minds to variety of estimation/rounding methods required in different circumstances.

Expanding one and two binomials (single and double brackets); with positively wibbly wobbly variables.

Subject to further development…

With many thanks to Don Steward for inspiration on Saturday 16 March 2019 at ATM London, IoE, UCL, London. Cross links to ratio, sequences and gradient. Square dotty paper is set as back ground for slides; so you can build your own or print and ask your pupils to create their own. I’m certain you have access to more than enough questions on adding fractions. This merely provides pupils with a different means to answer them; visually/geometrically.

Adding Multiplication Estimation

A set of three colourful questions to encourage pupils to understand: (i) why angle-naming conventions exist and (ii) how to apply them.

Seeing gradient.

Video demonstration of planes of symmetry in real shapes: using play dough. Planes of symmetry of cuboid. Planes of symmetry of triangular prism.

A series of links for World Space Week 2020. Designed to spur exploration. The truth is out there…

Trigonometric Ratios from first principles & pythagoras’ theorem. Set in context of tracking a star orbiting an Earth assumed to be flat (as it seemingly was at the time the principles were first developed!).

Something inspired by thoughts on sun dials and a once-held belief that the world was flat; possibly a flat disc floating in water. In essence it may provide (at least) a "holding" answer to an old teenage question: "If zero degrees is north (a.k.a. "up" on a 2D map) for bearings questions, why is it east for more advanced trigonometry?". The STEM-Ginger Beer Glass answers a separate (but related) question (or begins to).

A gentle starter for those beginning to grasp proportionality. It enables extension by encouraging pupils to design their own questions (with answers). Proportionality is visualised using a familiar item (macaroni) that they may see at home. Recognising that such a familiar item may be used in this way may lead to experimentation beyond the classroom.

Translations-based code word revelation.

**A couple of poems with a few mathematical questions. Nothing too heavy; but enough to spur some thought.

A single A3 sheet summary of the paths from a Grouped Frequency Table. With examples. With practical vocabulary.

Folllowing the timeline for the Autumn term I have provided on this website, these break each objective into four steps: consolidating; developing; securing; mastering. Each objective is taken directly from the "new" UK National Curriculum for Key Stage 3 [where an objective is given for each bullet point (from page 5): https://www.gov.uk/government/uploads/system/uploads/attachment_data/file/239058/SECONDARY_national_curriculum_-_Mathematics.pdf ] . Consolidating - is generally pitched for the weakest pupils: who are revisiting key stage 2 material that may have been first taught before year 6. Mastering - will generally pitched to stretch at or beyond expectations for key stage 3. Problem solving exercises will need to be set within and around material each week. Three hours per week has proven enough to deliver the material to the very most committed and able pupils (when accompanied with sufficient homework); however, five hours per week (and some looping back to earlier objectives if/when later objectives prove inaccessible) may suit pupils who would benefit from such an approach.