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.

Pupils are asked to label a circle with compass directions and angles. The trick is that the circle is already labelled: with months and times [in hours (12 and 24) and minutes]. All jolly confusing... until they stop to process, sort and think! The dice at the edges add potential for an extra question around how to randomly choose a time/angle for something! There is a second circle with weeks, suits of cards, letters of the alphabet and two marathons. More confusion! More thought. Where will your pupils take you with them...

Folllowing the timeline for the Spring term I have provided on this website, this breaks 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.

From days at Primary; animated & adjusted to work for -ve powers of 10 as well as +ve. Kibel [pp34-40 Miles T.R., Miles E. (2004)Dyslexia é mathematics] has +ve story to tell about Dienes blocks. Worth remembering that their use can be scaled up é down. Hence BETTER version will be made by someone with time é 3D ICT kit. It’ll ZOOM in é out to enable pupils to view (é correctly name - for US é Brit purposes!) numbers as big as a Googol é as small as... It'll use techniques like those in these slides; but combined with ZOOMING as seen in this: http://www.youtube.com/watch?v=I-Tym_6YLUI

Place Bearing Point on ground and calibrate to magnetic north using compass/GPS. Pupil stands on Bearing Point with trundle wheel. Giant scale map-making/diagram-drawing begins. Corners/Vertices can be marked using cones. Bearing point can be lifted and replaced with cone at each vertex to aid taking further bearings. £4.50 IKEA Mat: http://www.ikea.com/gb/en/catalog/products/40239429/ Chalk pen: http://www.amazon.co.uk/s/ref=nb_sb_noss?url=search-alias%3Daps&field-keywords=pens+chalkérh=i%3Aaps%2Ck%3Apens+chalk [might work with Tippex pen]