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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.
Key Stage 3 in 2 Years - Progression Maps - Matching 2-Year Timeline - Summer Term (Y7)
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Key Stage 3 in 2 Years - Progression Maps - Matching 2-Year Timeline - Summer Term (Y7)

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Folllowing the year 7 timeline for the Summer term I have provided elsewhere 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.
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)
Dambusters - Constructions & trigonometry
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Dambusters - Constructions & trigonometry

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Help Dr Barnes Wallis's team to position the spotlights on the Lancaster Bombers for the Dambusters' raids led by Commander Guy Gibson. Willing suspension of disbelief required with respect to the numbers (unless you choose to alter them to match researched reality!). Timed for use on the anniversary of the raids (17 May 1943). Roll the theme....
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.
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... ;-)
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]!
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.
Fractal Poetry & A Fractal Poem of Three
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Fractal Poetry & A Fractal Poem of Three

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Explore the poem (you're free to use it if you don&'t derive financial profit from it without sharing that profit with the author!); then invite your pupils to develop their own fractal poems. Maybe another one for triangles. Maybe have them write one using squares. It might be fun to extend the fractal! If you/they can: a proper challenge! :-) P.S. The first verse is explained if you make a hole at the top of triangle, cut out triangle & hang it from thread. It can then be spun (albeit it&';s not lit up!). P.P.S. Table centre-piece for group discussion é building activity also possible!
Spinning Round in a Circle
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Spinning Round in a Circle

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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...