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 (beans) 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.

A set of slides to introduce Pythagoras' Theorem like the Rugby Off-side rule: (i) with little extra information [maybe supplemented with explanation]; (ii) with movement; (iii) with different (technical) labelling.

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!).

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.

Key Stage 3. Ratio & Proportional Reasoning 4. For the beginnings of ratio and where it is found and used.

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.

A poem to enable discussion of gender politics in an ancient but familiar, and mathematical, context. Incidentally, what is the maximum possible number of Queens on the board?

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…

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

Subject to further development…

Adding Multiplication Estimation

Eight slides to prepare for Christmas. Does Father Christmas really exist? If so, where does he come from? The links from the slides suffice to begin a greater journey into how the name and image of St Nicholas has changed over the past 1300+ years (at the hands of Martin Luther (and Protestant Christians), Coca Cola and others) but also how his eternal spirit travels and lives on.

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

Video montage

Seeing gradient.

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]

Print the .pdf using the multiple pages per sheet option; or create GIANT WHOLE CLASS card sort by printing each page on A4. Several ways to sort these effectively. Be inventive!

Maths Revision for Red Nose Day. *All* monies I recieve from TES website (60% of what you pay) for this resource will be given to Comic Relief. I will keep nothing! What TES choose to do with their 40% is up to them! :-) You can: (i) run it as a plenary on screen. (ii) print the full set of 9 nose's questions on a single sheet of A4 and then photocopy onto a larger (A3) quiz sheet. Answers included for each option in format consistent with the option (one-to-one & block of nine).

Differentiated questions with two different answer approaches: Allowing progression by attempting one at each level of difficulty then marking before returning to try each again. Allowing progression by attempting all at each level of difficulty and then marking before moving up a level.

A mini task. Defining and redefining 'the counted thing': one. Leads to creation of Venn diagram. Requires or tests recognition of circle, square and rectangle. Once they've understood the ideas, pupils can be encouraged to apply them when they are next in the garden of an English pub