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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.
Planes of symmetry
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Planes of symmetry

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Video demonstration of planes of symmetry in real shapes: using play dough. Planes of symmetry of cuboid. Planes of symmetry of triangular prism.
Prejudice, Protected Characteristics & Discrimination : Leaving Cleverland
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Prejudice, Protected Characteristics & Discrimination : Leaving Cleverland

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This is being posted in Black History Month: an important time in history, for a period, whilst curricula chose (for diplomatics reasons or otherwise) not to teach the young people of the UK about “the End of Empire” or about what preceded it or about life beyond what is now the Commonwealth - not to mention the tensions of integration in past decades as those, in the UK, who were less-well-educated and less-well-travelled had to get their heads around changes to the people and customs they were seeing. It was nothing new in some places. In others it was. “New” meant one thing in one place; another in another. Times have changed, of course, since the 1950s, 60s, 70s, 80s, 90s and 2010s. What we watch on the internet or TV from overseas feels closer to “home”. What those fortunate few (who can afford the medical insurance, passports, flights, etc) to travel and see overseas and report back has changed too. Often it is forgotten, courtesy of the internet or TV, that the USA is a long way further from the UK than Europe and Africa and the Middle East. It is often more expensive to get to as well. It is also forgotten, at times, that British and American (and indeed European) history are not quite so intertwined, at all times, as we might perceive or wish to believe: fog in the English channel has also been fog in the Atlantic at times. Indeed, there has even been fog between London and other British cities - and between London and the countryside. Everywhere is not anywhere. Anywhere is not everywhere. Even if ubiquitous retail chains like McDonalds, Nandos, Tescos, Morrisons and others may make us feel like the opposite is the case. There was a time, before the Empire (no I don’t mean Star Wars! that’s the point!), that David Olusoga advises saw the Catholic Church of the Mediterranean courting favour with African leaders. There was a time when King James I of England VI of Scotland had an Ambassador located in India. Presumably people travelled in both directions. Marco Polo and “Samurai William”, not to mention Caractacus in Rome, are worth a look too. There’s a big planet out there - and many of the issues raised by Black History Month are human issues: as applicable in Western China or South America or Eastern Europe as they are in the UK; but to different peoples. And, in that context, prejudice is an idea worth being careful with. So, just as the global history of all peoples matters in the other eleven months of the year too, here’s something to prompt a decent debate. It does not even limit itself to skin colour - which is, in itself, is refreshing - as every straight Christian male of African heritage and a certain age will doubtless appreciate.
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?
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]
Trigonometric Ratios From Source
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Trigonometric Ratios From Source

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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!).
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).
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.
Christmaths Literacy
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Christmaths Literacy

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**A couple of poems with a few mathematical questions. Nothing too heavy; but enough to spur some thought.
Key Stage 3 in 2 Years - Progression Maps - Matching 2-Year Timeline - Autumn Term (Y7 & Y8)
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Key Stage 3 in 2 Years - Progression Maps - Matching 2-Year Timeline - Autumn Term (Y7 & Y8)

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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.