Interwoven Maths teaching resources by Nathan Day

Changing RatiosInteractive ratio-changing coin problems with non-algebraic scaling diagrams and algebraic solutions.Ratio ScalingInteractive ratio scaling gap-fill task converting between simplest form, unit ratios, totals and differences.Ratio Scaling WorkshopCPD workshop materials on ratio, scaling and connected proportional reasoning.Ratio SharingInteractive sharing in a ratio questions for area and perimeter, shown one at a time with revealable solutions.Interwoven ProbabilitiesProbability questions built around randomly selecting equations, trigonometry problems, vectors and factor-counting cases.Product Rule for Counting FactorsProduct rule for counting factors task covering prime factorisation, odd and even factors, square factors and common factors.Introducing Geometric SeriesAn A Level introduction to geometric series through interwoven tasks on infinite sums, algebra, integration and exponentials.Interwoven Volume and Surface Area Completion TablesVolume and surface area completion tables for cuboids, using missing dimensions, fractions and standard form-style structure.Histograms and Cumulative FrequencyData-handling task linking grouped data, histograms, cumulative frequency, estimated statistics and box plots.Angles in Polygons with... (Mixed Questions)Mixed angles in polygons questions interwoven with ratio, simultaneous equations, percentages, averages, bounds and sequences.Averages with... (Mixed Questions)Mixed averages questions interwoven with fractions, area, perimeter, standard form, surds, bounds and angles.Circle Theorems with... (no diagrams!)A circle theorems reasoning task that removes diagrams so learners must visualise, sketch and justify missing angles.Interwoven Revision Questions to ProjectMixed interwoven revision questions for projecting or printing, covering averages, rounding, trigonometry, Pythagoras and more.Pythagoras and Trigonometry with... (Mixed Questions)Mixed Pythagoras and trigonometry questions interwoven with unit conversion, fractions, recurring decimals, standard form, surds and prime factorisation.Interwoven ProportionA proportion task connecting ratio tables, graphs and equivalent multiplicative relationships across different contexts.Areas of TrapeziumsArea of trapezium tasks using fractions, decimals, shaded regions, algebraic lengths and missing measurements.Solving Further Equations from Circle TheoremsCircle theorem angle problems requiring linear and simultaneous equations to find unknown values.Investigation into Factors and VolumesAn investigation into how many cuboids can be made from a number of cubes, linking factor structure and volume.Similar Shapes, Trigonometry, and Pythagoras ProofsSimilarity task linking similar shapes, Pythagoras, trigonometry, area, perimeter and proof-style reasoning.Using Ratios to Find Angles in PolygonsRatio and angle questions for polygons, where students divide angle sums to find missing angles.Frequency Diagrams with BoundsBounds and frequency diagram tasks that convert rounded or truncated data into histograms, cumulative frequency diagrams and frequency polygons.L-shapes with FractionsArea and perimeter questions for compound L-shapes with fractional and decimal side lengths.Equations of Straight Lines and AreaA coordinate geometry task linking equations of straight lines with vertices, shape names and areas on a grid.Rounding with...Rounding tasks using decimals, fractions and algebra tables to compare decimal-place and significant-figure decisions.Area and Perimeter with Standard FormStandard form area and perimeter completion tables, including missing dimensions and Pythagoras links.Pythagoras and Inequalities RegionsCoordinate-region task where students identify inequalities and use Pythagoras' theorem to calculate perimeters.Solving Trigonometric Equations with the Factor TheoremA Level trigonometric equation practice requiring factor theorem style algebra before solving in a given interval.Using Ratios to Find AnglesRatio and angle questions where students divide straight-line, around-a-point and triangle angles.Converting Units of Area with Standard FormStandard form unit-conversion questions for areas, including square units, land area, erosion and scale contexts.Averages with SurdsAverages practice finding mean, median and range for surd data, with exact simplified answers.Averages with FractionsAverages practice finding mean, median and range for fractional data, with answers in simplest form.Sequences with SurdsArithmetic and geometric sequence practice with surds, including next terms, nth terms and ratios.Sequences with Standard FormArithmetic and geometric sequence practice with standard form, including next terms, nth terms and ratios.Sequences with FractionsArithmetic and geometric sequence practice with fractions, including next terms, nth terms and ratios.Solving Linear Equations from Circle TheoremsCircle theorem diagrams where missing angles are found by forming and solving linear equations.Solving Linear Equations from Parallel LinesParallel line angle diagrams where missing angles are found by forming and solving linear equations.Solving Linear Equations with Standard FormLinear equations practice with standard form coefficients and powers of ten.Solving Linear Equations with DecimalsLinear equations practice with decimal coefficients and multi-step rearranging.Solving Linear Equations with FractionsLinear equations practice with fractional coefficients, brackets and multi-step rearranging.Angles in a Triangle - InequalitiesAn interwoven task on angles in a triangle and inequalities.Calculations with Standard FormA standard form calculations booklet covering converting, adding, subtracting, sequences, equations, area and perimeter problems.Expanding and Factorising QuadraticsA quadratics booklet covering expanding, factorising, completing the square, roots, graphs and area-model reasoning.DistributivityA distributivity booklet using area models and grid methods for expanding brackets, factorising and connected calculations.Fractions, Decimals, BoundsA fractions, decimals and bounds booklet with four-operation tables, ordering, averages, rounding and recurring decimal work.PercentagesA percentages booklet covering fraction-to-percentage conversion, comparing percentages, percentages of amounts and percentage chains.Simultaneous EquationsA simultaneous equations booklet covering equivalent equations, substitution, elimination and systems with two or three variables.Standard FormA standard form booklet covering powers of ten, identifying standard form, conversions and rounding-style gap fills.Heylings Solving EquationsA solving equations booklet that builds from balance models and bar models to algebraic methods, negatives and equivalent equations.Modulus FunctionsWorked examples on modulus functions and equations, comparing algebraic and graphical solution methods.Inverse FunctionsA worked-example resource on inverse functions, domain and range, including pattern spotting and generalisation.Domain and RangeA worked-example resource on domain and range for A Level functions, with one-to-one restrictions and inverse-style reasoning.Prime FactorisationWorked examples on prime factorisation using factor trees and repeated division, including error correction.Forming QuadraticsA worked-example resource on forming and solving quadratics from right-angled triangle problems using Pythagoras.SubstitutionWorked examples on substitution into algebraic expressions, with prompts for method, structure and common errors.IslandsA task exploring the area and perimeter of islands made from square grids.Quadratics Always Sometimes NeverAn always-sometimes-never task exploring quadratic expressions and coefficients.𝑥²-7𝑥+10Questions designed around the quadratic expression 𝑥²-7𝑥+10 after a MathsConf38 session.Quadratics Completion TableQuadratics completion table linking expanded, factorised and completed-square forms with roots, intercepts, vertices and sketches.Football TasksFootball-themed maths tasks using league tables, points, goal difference and fixture logic.Geometric Configurations of Simultaneous EquationsA Further Maths task matching systems of three linear equations to 3D plane configurations, including consistent and inconsistent cases.Objects on SlopesA Level mechanics task on objects in equilibrium on rough inclined planes, finding force, angle and coefficient ranges.Tricky TransformationsA transformations task combining translations, rotations, reflections and enlargements with Pythagoras, trigonometry, area and perimeter.Hypothesis TestingInteractive A Level binomial hypothesis testing practice with critical region and p-value question generators.Pride Flag MathsProgress Pride Flag maths tasks covering area, perimeter, Pythagoras, gradients, straight-line graphs and inequalities.Introducing TrigonometryAn introductory right-angled trigonometry task covering opposite, adjacent, hypotenuse, sine, cosine and tangent ratios.Cylinder SnakeA cylinder snake task linking volume, surface area and radius through connected questions.Averages SnakeAn averages snake task linking mean, median, mode and range through connected gap-filling questions.Quadratics SnakesQuadratics snake tasks on factorising, roots, vertices, symmetry, tangents and transformations of parabolas.Snakes!A collection of snake tasks with connected question sequences for sequences, averages, trigonometry, cylinders and quadratics.Tricky Trigonometry SnakeA trigonometry snake task linking right-angled trigonometry, area, perimeter and maximum-value reasoning.Sequences SnakeA sequences snake task connecting arithmetic, geometric and Fibonacci-style sequences with nth-term reasoning.Right-Angled Trigonometry Varied PracticeVaried right-angled trigonometry and Pythagoras practice with missing sides, missing angles, area and perimeter.Sequences Completion TableSequences completion table linking term-to-term rules, nth terms, zeroth and tenth terms, first five terms and sums.Introducing Circle TheoremsAn introductory circle theorems task that builds angle facts from drawing circles, radii and cyclic angle patterns.Faces of CuboidsCuboid practice for finding volume and surface area from dimensions or face areas, including missing lengths.Addition PyramidsAddition pyramid practice with whole numbers, negatives, decimals and fractions, using inverse operations to fill missing values.Star Wars Pythagoras QuestionsStar Wars-themed Pythagoras tasks using composite shapes, area, perimeter and right-angled triangle reasoning.Many Different TransformationsA transformations task where students find multiple translations, reflections, rotations and enlargements for the same shape.Four Operations Completion TablesFour operations completion tables covering positive numbers, negatives, decimals, fractions and sum-product relationships.Straight-Line Graphs Completion TablesStraight-line graph completion tables for writing equations through points, spotting patterns and testing impossible cases.Area and Perimeter Completion TablesArea and perimeter completion tables for parallelograms and trapeziums, including missing lengths, fractions and algebra.Percentage Change Completion TablePercentage change completion table linking amount, percentage, P% of A, increases and decreases, with challenge extensions.Factor Trees - Fill in the GapsFill-in-the-gap factor tree tasks for prime factorisation, including partially completed trees and reverse reasoning.Which is Bigger?Sixteen comparison prompts asking which quantity is bigger.Rearranging FormulaeWorksheets building up rearranging formulae through number equations, single-variable equations and multi-variable formulae.No More PrimesA number game based on No More Jockeys, practising categories such as factors, multiples, primes, negatives, and fractions.Substituting to SolveA substitution task introducing solving equations, pattern spotting and sequences.Dotty AreasDotty-grid area tasks designed to develop different ways of thinking about area.Famous Mathematicians From Around the WorldClassroom display posters celebrating famous mathematicians from around the world and their mathematical contributions.LGBTQIA+ Mathematicians From Around the WorldClassroom display posters celebrating LGBTQIA+ mathematicians and their contributions to mathematics and STEM.50 Mathematical QuotationsA classroom display collection of 50 mathematical quotations from mathematicians, scientists, writers and educators.The Best That Has Been Taught And SharedCPD workshop materials on task design, adapting shared tasks and choosing examples worth teaching.Challenge ExpectedWorkshop slides from Challenge Expected, with three preview images from the session.Keeping Things in ProportionWorkshop slides on proportional reasoning and interweaving, with tasks across ratio, fractions, decimals and percentages.Making ConnectionsWorkshop slides on mathematical interweaving, with examples connecting proportional reasoning, multiplication and reciprocal structures.Daydream InterweaverWorkshop slides on interweaving reciprocals, connecting ratio, rates, equations, similar cuboids and trigonometry.Don't Stop Interweavin'Workshop slides introducing interweaving, mathematical connections and the purpose of mixed-topic task design.The History and Future of MathematicsWorkshop slides on using the history and future of mathematics to bring stories, motivation and richness into lessons.Non-Calculator Grade 9 Revision Question GeneratorInteractive non-calculator GCSE Grade 9 maths revision questions with printable questions and solutions.Python KS3Interactive KS3 Python quizzes covering selection, iteration, subroutines and code tracing.Mixed Python QuestionsInteractive GCSE Computer Science Python revision questions covering selection, iteration, subroutines and code tracing.Edexcel Exam CountdownA live countdown tool for Edexcel GCSE Maths, A Level Maths and Further Maths exam dates.Grade BoundariesAn interactive maths grade boundary lookup for A Level, AS, GCSE and Level 2 Further Maths pages.Digit Disguises by David K ButlerAn interactive arithmetic game based on David K Butler's Digit Disguises, with flexible number and operation challenges.PowerPoint PSAsPowerPoint PSA slides with practical formatting tips for mathematical diagrams, equations, tables and animations.Maths CarrollsA collection of mathematical Carroll diagrams for primes, simplifying ratios, powers, percentages, integrals and square numbers.Christmaths CarolsA collection of mathematical Christmas carol lyrics and recordings, covering topics such as data, factors, angles and trigonometry.Gattegno Tens ChartPrintable Gattegno tens charts for place value, decimals, powers of ten and multiplicative reasoning.Duelling MathematiciansA Class Duels maths game for practising mathematician names, facts and connections.CIMTMerged CIMT Mathematics Enhancement Programme Core resources with a complete answers PDF.

No matching resources. Try clearing a filter.