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Maths & Cross-Curricular Resources

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My time zone and your time zone may be the same time zone. Maybe midnight for you and midnight for me are the same. Your month and my month could be the same month. But they could be different. Not every day. Not all the time. Not everywhere. But some times in some places on some days. Perhaps even on the day this was written.

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My time zone and your time zone may be the same time zone. Maybe midnight for you and midnight for me are the same. Your month and my month could be the same month. But they could be different. Not every day. Not all the time. Not everywhere. But some times in some places on some days. Perhaps even on the day this was written.
Spymaster | Piemaster - Simultaneous Equations in the World of Espionage
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Spymaster | Piemaster - Simultaneous Equations in the World of Espionage

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Takes a bit of effort to imagine when simultaneous equations may come in handy. Partly inspired by the new fashion of publishing the tax returns of persons in "positions in influence" (with a view to identifying enemy agents: with "foreign" income sources), these questions will hopefully awaken pupils' interest in simultaneous equations and how/when/why they might (just might!) become useful in "real life"... [now with, step-by-step, solutions]
Tool to convert from Marks to Pearson Steps to GCSE Grades at granular level (using Pearson's map)
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Tool to convert from Marks to Pearson Steps to GCSE Grades at granular level (using Pearson's map)

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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)
Exploring the area of triangles
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Exploring the area of triangles

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Aimed at (re-)opening understanding of triangles before (re-)entering consideration of their area, this slide deck provides: * 4 Q&A Penary slides * 4 Worksheet slides (printable as four-sided pamphlet) * Consideration of different types of triangle (scalene, right-angled, isosceles) in the same rectangle * An insight into proof (if used properly) * A trailed means to identify and distinguish the perpendicular height Ideal for extension at Key Stage 2, focus in Key Stage 3 and support/reinforcement in Key Stage 4 / resit. Pupil-trialled and tested .
Adding & Subtracting Fractions (on square dotty paper)
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Adding & Subtracting Fractions (on square dotty paper)

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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.
Cuisinere Macaroni - Proportion Starter
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Cuisinere Macaroni - Proportion Starter

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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.
Entry AfL - Charts & Graphs
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Entry AfL - Charts & Graphs

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AfL tool to assess topics requiring teacher's input when starting unit on charts and graphs. Aligned with new GCSE mathematics curriculum. Can also be used as mid unit or end of unit test.
Bridge It! Bridges of Bedford Marathon
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Bridge It! Bridges of Bedford Marathon

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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?
Probability associated with compatible and combined event(s)
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Probability associated with compatible and combined event(s)

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The brief: "Probability: using diagrams for combined event including Venn diagrams and two way tables". Accordingly, this was possibly created in reaction to a "typo" in a challenge that was set; possibly created in reaction to an ongoing clash between the jargon of mathematics and Crystal-mark plain English; possibly not. This resource looks (constructively and positively!) at how one could find an event (singular) which features combined probabilities (think combined=compatible and hence of withdrawing, say, Queen of Diamonds from a pack of cards). This resource then moves into more traditional territory: combined independent events (plural!): each event with its own set of distinct mutually-exclusive outcomes. The resource encourages pupils to think about how to arrange data from these events and it can be used to lead them towards either (somewhat complex / technically flawed?) Venn diagrams or (more traditional and clear!) two-way tables [albeit a "sample space" would be preferable to both] as a means to clarify and present the raw data for speedy analysis. The language and symbols of set theory are used in places and may need decoding for pupils. The absence of a true sample space may render these slides "unsatisfying" for mathematicians likely to progress to the highest grades and on to A-Level; however, the faith was kept with the brief; next time... ;-)
Gradient - card sort
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Gradient - card sort

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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!
Trigonometry and circles
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Trigonometry and circles

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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).