Interwoven Maths teaching resources by Nathan Day

Islands A task exploring the area and perimeter of islands made from square grids. Quadratics Always Sometimes Never An always-sometimes-never task exploring quadratic expressions and coefficients. Interwoven Probabilities Probability questions built around randomly selecting equations, trigonometry problems, vectors and factor-counting cases. Product Rule for Counting Factors Product rule for counting factors task covering prime factorisation, odd and even factors, square factors and common factors. Introducing Geometric Series An A Level introduction to geometric series through interwoven tasks on infinite sums, algebra, integration and exponentials. Interwoven Volume and Surface Area Completion Tables Volume and surface area completion tables for cuboids, using missing dimensions, fractions and standard form-style structure. Histograms and Cumulative Frequency Data-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 Project Mixed 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 Proportion A proportion task connecting ratio tables, graphs and equivalent multiplicative relationships across different contexts. Areas of Trapeziums Area of trapezium tasks using fractions, decimals, shaded regions, algebraic lengths and missing measurements. Solving Further Equations from Circle Theorems Circle theorem angle problems requiring linear and simultaneous equations to find unknown values. Investigation into Factors and Volumes An investigation into how many cuboids can be made from a number of cubes, linking factor structure and volume. Similar Shapes, Trigonometry, and Pythagoras Proofs Similarity task linking similar shapes, Pythagoras, trigonometry, area, perimeter and proof-style reasoning. Using Ratios to Find Angles in Polygons Ratio and angle questions for polygons, where students divide angle sums to find missing angles. Frequency Diagrams with Bounds Bounds and frequency diagram tasks that convert rounded or truncated data into histograms, cumulative frequency diagrams and frequency polygons. L-shapes with Fractions Area and perimeter questions for compound L-shapes with fractional and decimal side lengths. Equations of Straight Lines and Area A 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 Form Standard form area and perimeter completion tables, including missing dimensions and Pythagoras links. Pythagoras and Inequalities Regions Coordinate-region task where students identify inequalities and use Pythagoras' theorem to calculate perimeters. Solving Trigonometric Equations with the Factor Theorem A Level trigonometric equation practice requiring factor theorem style algebra before solving in a given interval. Using Ratios to Find Angles Ratio and angle questions where students divide straight-line, around-a-point and triangle angles. Converting Units of Area with Standard Form Standard form unit-conversion questions for areas, including square units, land area, erosion and scale contexts. Averages with Surds Averages practice finding mean, median and range for surd data, with exact simplified answers. Averages with Fractions Averages practice finding mean, median and range for fractional data, with answers in simplest form. Sequences with Surds Arithmetic and geometric sequence practice with surds, including next terms, nth terms and ratios. Sequences with Standard Form Arithmetic and geometric sequence practice with standard form, including next terms, nth terms and ratios. Sequences with Fractions Arithmetic and geometric sequence practice with fractions, including next terms, nth terms and ratios. Solving Linear Equations from Circle Theorems Circle theorem diagrams where missing angles are found by forming and solving linear equations. Solving Linear Equations from Parallel Lines Parallel line angle diagrams where missing angles are found by forming and solving linear equations. Solving Linear Equations with Standard Form Linear equations practice with standard form coefficients and powers of ten. Solving Linear Equations with Decimals Linear equations practice with decimal coefficients and multi-step rearranging. Solving Linear Equations with Fractions Linear equations practice with fractional coefficients, brackets and multi-step rearranging. Angles in a Triangle - Inequalities An interwoven task on angles in a triangle and inequalities. Calculations with Standard Form A standard form calculations booklet covering converting, adding, subtracting, sequences, equations, area and perimeter problems. Expanding and Factorising Quadratics A quadratics booklet covering expanding, factorising, completing the square, roots, graphs and area-model reasoning. Distributivity A distributivity booklet using area models and grid methods for expanding brackets, factorising and connected calculations. Fractions, Decimals, Bounds A fractions, decimals and bounds booklet with four-operation tables, ordering, averages, rounding and recurring decimal work. Percentages A percentages booklet covering fraction-to-percentage conversion, comparing percentages, percentages of amounts and percentage chains. Simultaneous Equations A simultaneous equations booklet covering equivalent equations, substitution, elimination and systems with two or three variables. Standard Form A standard form booklet covering powers of ten, identifying standard form, conversions and rounding-style gap fills. Heylings Solving Equations A solving equations booklet that builds from balance models and bar models to algebraic methods, negatives and equivalent equations. Modulus Functions Worked examples on modulus functions and equations, comparing algebraic and graphical solution methods. Inverse Functions A worked-example resource on inverse functions, domain and range, including pattern spotting and generalisation. Domain and Range A worked-example resource on domain and range for A Level functions, with one-to-one restrictions and inverse-style reasoning. Prime Factorisation Worked examples on prime factorisation using factor trees and repeated division, including error correction. Forming Quadratics A worked-example resource on forming and solving quadratics from right-angled triangle problems using Pythagoras. Substitution Worked examples on substitution into algebraic expressions, with prompts for method, structure and common errors. 𝑥²-7𝑥+10 Questions designed around the quadratic expression 𝑥²-7𝑥+10 after a MathsConf38 session. Quadratics Completion Table Quadratics completion table linking expanded, factorised and completed-square forms with roots, intercepts, vertices and sketches. Football Tasks Football-themed maths tasks using league tables, points, goal difference and fixture logic. Geometric Configurations of Simultaneous Equations A Further Maths task matching systems of three linear equations to 3D plane configurations, including consistent and inconsistent cases. Objects on Slopes A Level mechanics task on objects in equilibrium on rough inclined planes, finding force, angle and coefficient ranges. Tricky Transformations A transformations task combining translations, rotations, reflections and enlargements with Pythagoras, trigonometry, area and perimeter. Hypothesis Testing Interactive A Level binomial hypothesis testing practice with critical region and p-value question generators. Pride Flag Maths Progress Pride Flag maths tasks covering area, perimeter, Pythagoras, gradients, straight-line graphs and inequalities. Introducing Trigonometry An introductory right-angled trigonometry task covering opposite, adjacent, hypotenuse, sine, cosine and tangent ratios. Cylinder Snake A cylinder snake task linking volume, surface area and radius through connected questions. Averages Snake An averages snake task linking mean, median, mode and range through connected gap-filling questions. Quadratics Snakes Quadratics 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 Snake A trigonometry snake task linking right-angled trigonometry, area, perimeter and maximum-value reasoning. Sequences Snake A sequences snake task connecting arithmetic, geometric and Fibonacci-style sequences with nth-term reasoning. Right-Angled Trigonometry Varied Practice Varied right-angled trigonometry and Pythagoras practice with missing sides, missing angles, area and perimeter. Sequences Completion Table Sequences completion table linking term-to-term rules, nth terms, zeroth and tenth terms, first five terms and sums. Introducing Circle Theorems An introductory circle theorems task that builds angle facts from drawing circles, radii and cyclic angle patterns. Faces of Cuboids Cuboid practice for finding volume and surface area from dimensions or face areas, including missing lengths. Addition Pyramids Addition pyramid practice with whole numbers, negatives, decimals and fractions, using inverse operations to fill missing values. Star Wars Pythagoras Questions Star Wars-themed Pythagoras tasks using composite shapes, area, perimeter and right-angled triangle reasoning. Many Different Transformations A transformations task where students find multiple translations, reflections, rotations and enlargements for the same shape. Four Operations Completion Tables Four operations completion tables covering positive numbers, negatives, decimals, fractions and sum-product relationships. Straight-Line Graphs Completion Tables Straight-line graph completion tables for writing equations through points, spotting patterns and testing impossible cases. Area and Perimeter Completion Tables Area and perimeter completion tables for parallelograms and trapeziums, including missing lengths, fractions and algebra. Percentage Change Completion Table Percentage change completion table linking amount, percentage, P% of A, increases and decreases, with challenge extensions. Factor Trees - Fill in the Gaps Fill-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 Formulae Worksheets building up rearranging formulae through number equations, single-variable equations and multi-variable formulae. No More Primes A number game based on No More Jockeys, practising categories such as factors, multiples, primes, negatives, and fractions. Substituting to Solve A substitution task introducing solving equations, pattern spotting and sequences. Dotty Areas Dotty-grid area tasks designed to develop different ways of thinking about area. Famous Mathematicians From Around the World Classroom display posters celebrating famous mathematicians from around the world and their mathematical contributions. LGBTQIA+ Mathematicians From Around the World Classroom display posters celebrating LGBTQIA+ mathematicians and their contributions to mathematics and STEM. 50 Mathematical Quotations A classroom display collection of 50 mathematical quotations from mathematicians, scientists, writers and educators. Challenge Expected Workshop slides from Challenge Expected, with three preview images from the session. Keeping Things in Proportion Workshop slides on proportional reasoning and interweaving, with tasks across ratio, fractions, decimals and percentages. Making Connections Workshop slides on mathematical interweaving, with examples connecting proportional reasoning, multiplication and reciprocal structures. Daydream Interweaver Workshop 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 Mathematics Workshop slides on using the history and future of mathematics to bring stories, motivation and richness into lessons. Python KS3 Interactive KS3 Python quizzes covering selection, iteration, subroutines and code tracing. Mixed Python Questions Interactive GCSE Computer Science Python revision questions covering selection, iteration, subroutines and code tracing. Edexcel Exam Countdown A live countdown tool for Edexcel GCSE Maths, A Level Maths and Further Maths exam dates. Edexcel A Level Boundaries An interactive Edexcel A Level Maths and Further Maths grade boundary lookup. Digit Disguises by David K Butler An interactive arithmetic game based on David K Butler's Digit Disguises, with flexible number and operation challenges. PowerPoint PSAs PowerPoint PSA slides with practical formatting tips for mathematical diagrams, equations, tables and animations. Maths Carrolls A collection of mathematical Carroll diagrams for primes, simplifying ratios, powers, percentages, integrals and square numbers. Christmaths Carols A collection of mathematical Christmas carol lyrics and recordings, covering topics such as data, factors, angles and trigonometry. Gattegno Tens Chart Printable Gattegno tens charts for place value, decimals, powers of ten and multiplicative reasoning. Duelling Mathematicians A Class Duels maths game for practising mathematician names, facts and connections. CIMT Merged CIMT Mathematics Enhancement Programme Core resources with a complete answers PDF.

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