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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.
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 .
Directed Fractions: The Board Game
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Directed Fractions: The Board Game

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Snakes and ladders; but with fractions; and dodecagonal dice: sum the negatives *and* positives before you make *your* move! Yes, you too can practice: * calculating equivalent fractions, so you can translate the * fractions on the * faces of the dodecagonal dice you made and hence * calculate the sum of the * positive and negative fractions on respective faces of each and hence * make your correct directed fraction move! equivalent fractions | adding & subtracting fractions | directed number | nets | dodecagons | properties of solids
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?
Key Stage 3 in 2 Years - Progression Maps - Matching 2-Year Timeline - Spring Term (Y7)
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Key Stage 3 in 2 Years - Progression Maps - Matching 2-Year Timeline - Spring Term (Y7)

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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 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.
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)
Bean Looking at Angles Again - Proportion Starter
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Bean Looking at Angles Again - 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 (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.
What is the chance of rain?
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What is the chance of rain?

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This is a light hearted starter for a lesson on proportion and chance or simply for a little thinking about proportion and chance before approaching another topic.
Diamond Jubilee Wheel - Measuring Time & Space
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Diamond Jubilee Wheel - Measuring Time & Space

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The United +Kingdom+ is a constitutional monarchy, so resources around the Diamond Jubilee are useful. Time: aligning 60 years' worth of facts in 60 minutes or 60 seconds! Simply colour in 25 years (silver Jubilee), 50 years (Golden Jubilee) and 60 years (Diamond Jubilee). Fractions: colour & discuss the first quarter of HM QE II's reign, the second quarter, or... maybe thirds, or twelfths, or... you get the idea.
Despicable Enlargement: world's tallest & smallest
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Despicable Enlargement: world's tallest & smallest

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Transformations - enlargement Arguably the ultimate 'shrink ray' opportunity and certainly a great opportunity to revise linear enlargement skills in a starter with Gru and Vector. Sounds are courtesy of http://movie-sounds.org.and images are courtesy of Google and First News. As ever, if there is doubt as to whether the images/sounds are subject to copyright, the no-profit, educational purposes and no-charge-advertising/no-charge-product-placement arguments apply: it's not about how much teachers should pay so much as it is about how much they should charge.
Revise solids: faces, surfaces, edges & vertices
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Revise solids: faces, surfaces, edges & vertices

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Builds on Ryan Brewer's set. Adds a few more complex solids, a clear 'top trump'(!) and an extra category: 'Platonic?'. Aimed at opening GM15 from new KS3 syllabus (or at revising / AfL during it!): 'use the properties of faces, surfaces, edges and vertices of cubes, cuboids, prisms, cylinders, pyramids, cones and spheres to solve problems in 3-D'. Assume Top Trumps logo OK to upload since Ryan Brewer has (and since others have used various images from cartoons etc). Presumably it acts as (in)direct advertising for their brand [for which, arguably, maths teachers/TES should be remunerated]!