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Cubed Maths

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Maths resources for teaching, CPD and backed up by research and over 30 years experience.

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Maths resources for teaching, CPD and backed up by research and over 30 years experience.
26a Maths problems, puzzles and ideas (pdf)
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26a Maths problems, puzzles and ideas (pdf)

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A pdf of a 46 slide PowerPoint that introduces or utilises many mathematical concepts. Mainly for post-primary settings but elements could be used in primary. There is at least a months material for lessons and will be useful for revision classes or an introduction to the concepts involved. Please review it if you download it and do put it to good use. If you think this is good, think about purchasing the PowerPoint. It allows the teacher to introduce the key ideas to students via animated slides. Most of the ideas are easier to access through animation and slow reveal. There are answers for most problems in the slides notes. It can be downloaded here: https://www.tes.com/teaching-resources/dashboard/resource-management/add-resource/12555207/published These are the concepts covered: Match Combinations: generalisations, combinations, multiplicative reasoning Two-way grids: preparation for simultaneous equations Comparing texts: data handling, sample sizes, mode, range Direction and distance: compass directions, left and right directions, absolute, relative Rectangle: area, perimeter, asymptotes Square patterns: 1. multiplicative reasoning, graphs, tables, algebraic manipulation, sequences, linear, quadratic Dissecting a square/rectangle: tangram, square, parallelogram, triangle, proportion, percentages Problems about perimeter and area: area, perimeter Ratio and proportion mystery: percentages, ratio, proportion, average (mean) House swap: interpreting distance-time graph Probability mystery: probability, card sort Fractions mystery: fractions, card sort Venn diagrams: factors, multiples, prime numbers Broken window: logic Shikaku: introduction and development Three problems: algebraic reasoning Logic puzzle: introduction to this type of reasoning What’s it worth?: preparation for simultaneous equations Wacky races: ordinal and time logic puzzle, card sort Sudoku Znorlian: binary, sequences, card sort Roofs: algebraic reasoning Antidotes: ratio, percentages, fractions Percentage paradox: introduction to Simpson’s paradox Probability investigation: tally table, sequence of outcomes Card trick: binary, base 2 place value headings
9a GCSE Data Handling lesson or revision notes (pdf)
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9a GCSE Data Handling lesson or revision notes (pdf)

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A pdf of a 22 slide PowerPoint that situates charts/graphs in the data handling cycle. It covers collecting, presenting, sorting and analysing data along with bar charts, line graphs, pie charts, decision tree diagrams, two-way tables, flow charts, Venn diagrams, stem & leaf diagrams and scatter graphs. A Powerpoint version is available here: https://www.tes.com/teaching-resource/gcse-data-handling-lesson-or-revision-notes-ppt-12395877 There is at least a weeks material for GCSE lessons and will be useful for revision classes or an overview of the concepts involved. So, far instance, much greater depth would be required for averages. Please review it if you download it and do put it to good use. If you think this is good, think about purchasing the PowerPoint. It allows the teacher to introduce the key ideas to students via animated slides. Most of the ideas are easier to access through animation and slow reveal.
7a Tangrams -  amazing things to do with them (pdf)
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7a Tangrams - amazing things to do with them (pdf)

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A pdf of a 25 slide PowerPoint that shows an incredible amount of things you can do with a 7 piece tangram. It covers 2D shapes, angles, area, proportion, percentages, fractions, square-roots, symmetry, compass directions, algebra, bearings and vectors. There is at least a weeks material for a KS3 or KS4 class and also could be used as revision. Please review it if you download it and put it to good use. The ideas used are adaptable and could be used for other square based patterns. If you think this is good, wait until you see the PowerPoint. It has interesting animations and some of the ideas are easier to access through animation.
4a Additive reasoning for teenagers (pdf)
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4a Additive reasoning for teenagers (pdf)

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A pdf of a 42 slide PowerPoint showing an approach to additive for teenage students who have difficulties with mental maths . It employs a Linear Model for addition and subtraction. It narrows the use of manipulatives to the counting stick, multilink cubes and base 10 materials. It is designed to be used for Maths Dept CPD rather than for teaching students although some slides would be useful for teaching. Years of experience of training Maths teachers, research and thinking has gone into this resource. The actual Powerpoint is available to purchase and has animation to enable conceptual development to be brought into sharper focus. Some slides are difficult to interpret without the animation.
6a Links with quadratics (xlsx)
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6a Links with quadratics (xlsx)

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A spreadsheet that makes clear the links between graphs of quadratic functions and intercepts, turning points and symmetry. It is completely editable. It works best with a=1 since the aspect of completing the square and bracket factoring need a more sophisticated approach (version 2?). It includes a blank template for students to complete. Let me know in a review if you have any further suggestions for improvement.
5a Effective questioning in Mathematics (pdf)
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5a Effective questioning in Mathematics (pdf)

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A four page booklet bringing various approaches together that aim to improve how questions are asked in the maths classroom. It is designed to be used for Maths Dept CPD rather than for teaching students although some slides would be useful for teaching. It encourages teachers to ask better questions and to develop student questioning in Mathematics. It includes a modified Bloom’s taxonomy as a prism through which to see questions in Maths.
20c Prince's Trust Managing Money Level 2 Student Booklet vers 2021 (pdf)
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20c Prince's Trust Managing Money Level 2 Student Booklet vers 2021 (pdf)

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New Specification (2021) Legacy specification pdf can be accessed here: https://www.tes.com/teaching-resource/resource-12442002 The aim of this unit is to develop an understanding of some of the basic principles around personal money management. Personal debt is a growing concern and understanding some of the basic principles when working out take home pay and budgeting principles for a household income helps develop an understanding of the value of money. Updated to include definitions of the National Minimum Wage and the National Living Wage. PPT version can be accessed here: https://www.tes.com/teaching-resource/resource-12626382 If you use it please review.
37a Track cards 3 - serpentiles type puzzle/game [CAT4 practice] (pdf)
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37a Track cards 3 - serpentiles type puzzle/game [CAT4 practice] (pdf)

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A pdf of 20 puzzles/games. This provides spatial awareness practice, CAT4 practice and cognitive abilities test practice. Difficulty: Level 3 Hard. Cut out cards and rearrange to make tracks. Use symmetry, rotation, reflection and 90 degree angles to complete the tracks. Track cards are inspired by the amazing Serpentiles originally published by ThinkFun but no longer manufactured. The PowerPoint is available with the correct answer highlighted for each of the 20 puzzles. It can be downloaded here: https://www.tes.com/teaching-resource/-12919926
35a Track cards 1 - serpentiles type puzzle/game [CAT4 practice] (pdf)
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35a Track cards 1 - serpentiles type puzzle/game [CAT4 practice] (pdf)

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A pdf of 12 short puzzles. This provides spatial awareness practice, CAT4 practice and cognitive abilities test practice. Difficulty: Level 1 Easy. Cut out cards and rearrange to make tracks. Use symmetry, rotation, reflection and 90 degree angles to complete the tracks. Track cards are inspired by the amazing Serpentiles originally published by ThinkFun but no longer manufactured. The PowerPoint is available with the correct answer highlighted for each of the 12 puzzles. It can be downloaded here: https://www.tes.com/teaching-resource/-12912646
W5a Coordinates - maths exam Q&A (pdf)
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W5a Coordinates - maths exam Q&A (pdf)

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Coordinates: questions for maths lessons. One pdf with questions and a separate pdf with answers. Questions consist of a range of medium ones. A PowerPoint is available with correct answers animated so that each question can be discussed as a class or group: https://www.tes.com/teaching-resource/-12955816 Please contact Cubed Maths if you identify any incorrections. cubed.maths@gmail.com 07949749781 Key words: 𝑦 axis, 𝑥 axis, quadrilaterals, kite, trapezium, rectangle, parallelogram, midpoint, circle, diameter
W3a Straight line graphs - maths exam Q&A (pdf)
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W3a Straight line graphs - maths exam Q&A (pdf)

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Straight line graphs or linear graphs: questions for maths lessons. Includes questions on drawing graphs, calculating gradients and working out intercepts. One pdf with questions and a separate pdf with questions and answers. Questions range from medium to hard. A PowerPoint is available with correct answers animated so that each question can be discussed as a class or group: https://www.tes.com/teaching-resource/resource-12946855 Please contact Cubed Maths if you identify any incorrections. cubed.maths@gmail.com 07949749781 Key words: linear graphs, intersection, gradient, parallel, equation, coordinates, axes, 𝑦=𝑚𝑥+c, 𝑦 axis, 𝑥 axis
W10a Surds - maths exam Q&A (pdf)
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W10a Surds - maths exam Q&A (pdf)

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Surds: questions for maths lessons. One pdf with questions and a separate pdf with questions and answers. A PowerPoint is available with correct answers animated so that each question can be discussed as a class or group: https://www.tes.com/teaching-resource/-13057000 Please contact Cubed Maths if you identify any incorrections. cubed.maths@gmail.com 079 497 497 81 Key words: simplify, expand, root, squared, difference of two squares, surd, rational, Pythagoras, cosine, cos, tangent, tan, space diagonal, area, cube, cuboid, trapezium
16a Wacky races 1 - ordinal (ppt)
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16a Wacky races 1 - ordinal (ppt)

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One of a series of PowerPoints that use a card sort activity with Wacky Races characters. The aim here is to position characters according to ordinal clues such as “Penelope Pitstop finished four cars ahead of Peter Perfect”. High quality with gifs. Please review if you put the ppt to use.
42 Genius Square Game - dice (xlsx)
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42 Genius Square Game - dice (xlsx)

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A spreadsheet to generate the dice outcomes of the seven dice in this popular game. It is useful if dice have gone missing or dice outcomes need to be presented to a group. There are two views: the faces of the dice and the position of the blockers on the board.
44 Maths activity: mean, median, mode, range (xlsx, xlsm)
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44 Maths activity: mean, median, mode, range (xlsx, xlsm)

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Maths activity: mean, median, mode, range. Two Excel workbooks, one with macros and one without. 11 values of dice throws show the relationships between: ordered values, the frequency table, the averages table and bar chart. The first workbook has the capability to randomly generate values or manual input. Macros must be enabled to use the second workbook that produces random values. Based on S4 unit in Improving Learning in Mathematics. Please contact Cubed Maths if you identify any limitations. cubed.maths@gmail.com 079 497 497 81 Key words: mean, median, mode, range, statistics, frequency tables, raw scores, ordering, bar charts, dice, random.
45a One page Maths diagnostic assessment (pdf)
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45a One page Maths diagnostic assessment (pdf)

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One page Maths diagnostic assessment. A pdf with diagnosic questions, rationale and assessment grid. The assessment is designed for an individual student with a teacher. The focus is method and understanding not correct answers. Can be used with a class. Should be carried out at the start and end of either an academic year, or an intervention. Please contact Cubed Maths if you identify any limitations. cubed.maths@gmail.com 079 497 497 81 Key words: Four rules of arithmetic, conceptual, procedural, computational, errors, mistakes, prior learning, multiplication, division, addition, subtraction, fractions, ratio, spatial reasoning, self-efficacy, times tables facts, 12-hour clock.
28a Multiples and factors (xlsm) - update October 2024
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28a Multiples and factors (xlsm) - update October 2024

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Update October 2024. A macro enabled spreadsheet that provides visible representations of multiples and factors. Use drop-down menus to select integers to show factors and multiples highlighted in 1-100/1-200 number squares. One square shows the multiples of the first integer. Another shows the multiples of the second integer. The third shows the multiples of both. The same is shown for factors. There are 10 sheets: a) FactorsA - factors of all numbers from 2 up to 200. Show visibly why only integers to half-way are required b) Factors B - factors of all numbers from 2 up to 200, colour coded showing prime and square numbers c) F&M - factors & multiples side by side in two 1-200 number grids d) O&E - even & odd numbers shown in a 1-200 number grid e) PF - prime factors of three numbers as tiles f) HCF2 - factors of two integers, showing HCF (three 1-100 grids) b) HCF3 - factors of three integers, showing HCF (seven 1-100 grids) c) LCM2a - multiples of two integers, showing LCM (three 1-100 grids) d) LCM2b - multiples of three integers, showing LCM (seven 1-100 grids) e) LCM3 - multiples of two integers, showing LCM (one 1-1050 grid) Macros must be enabled. The sheets are protected so students/teachers can only type in integers in the correct cells. They can be easily unprotected to make changes. I would welcome any suggestions for improvement.
46 Simultaneous equations : solving by elimination (pdf)
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46 Simultaneous equations : solving by elimination (pdf)

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#Simultaneous equations worksheets: two packs of three sheets. ##Pack 1 - integer answers for x and y## Sheet 1: twelve questions, no scaling: Q1-6 different signs (add), Q7-12 same signs (subtract) Sheet 2: twelve questions: Q1-6 scaling one term Q7-12 scaling both terms Sheet 3: twelve questions: scaling both terms Answer sheets provided ##Pack 2## Same as pack 1 with different questions Please contact Cubed Maths if you identify any limitations. cubed.maths@gmail.com 079 497 497 81 Key words: mean, median, mode, range, statistics, frequency tables, raw scores, ordering, bar charts, dice, random.