Maths Modelled

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Number Sprint Calculation and reasoning Start with one number, complete four operations and move through increasingly tricky levels. Calculation Chains Calculation and reasoning Start with one number, follow a chain of operations, reveal each result and print fluency worksheets. Multiplication Grid Calculation and reasoning Reveal, hide and practise times-table facts. Array Builder Calculation and reasoning Build rows and columns to connect multiplication facts, repeated addition, turnaround facts and division. Multiplication and Division Representations Calculation and reasoning Compare equal groups, arrays, bars, rods, number shapes and number lines, including sharing and grouping division. Equal Groups Calculation and reasoning Build, select and cover equal groups to teach multiplication, sharing and grouping division. Multiplication and Division Bar Model Calculation and reasoning Partition a whole into equal parts, then cover values to explore groups, group size and the whole. Multiplication and Division Rods Calculation and reasoning Use standard-colour rods to build repeated equal lengths and connect them to multiplication and division. Multiplication and Division Number Shapes Calculation and reasoning Repeat and cover structured number shapes to reason about equal groups and related division facts. Multiplication and Division Number Line Calculation and reasoning Build equal jumps forwards for multiplication and backwards for grouping division. Multiplication and Division Fact Families Calculation and reasoning Use three numbers to build the two multiplication facts and two related division facts. Addition and Subtraction Fact Families Calculation and reasoning Use two parts and a whole to build the two addition facts and two related subtraction facts. Addition and Subtraction Representations Calculation and reasoning Show one addition or subtraction across part-whole, bar, counters, ten frames and number-line models. Addition and Subtraction Part-Whole Model Calculation and reasoning Partition 2 to 8 parts, cover missing values and model place-value splits up to 7-digit numbers. Mental Strategies Calculation and reasoning Choose, represent and compare efficient mental strategies across all four operations because of the numbers. Order of Operations Calculation and reasoning Predict, model and reduce one valid part of an expression at a time, then compare how brackets change the result. Groups, Multiples and Factors Calculation and reasoning Build equal groups and arrays, find overlapping multiples and reason about factors and common sets. Square and Cube Numbers Calculation Build equal arrays and cube layers, then connect repeated factors with square and cube notation. Addition and Subtraction Bar Model Calculation and reasoning Model the whole and two parts with proportional bars, covered numbers and subtraction structure. Addition and Subtraction Counters Calculation and reasoning Show counters arranged in tens for addition, take-away and bridge-through-ten discussion. Addition and Subtraction Ten Frames Calculation and reasoning Use ten frames to teach bonds to ten, crossing out, counting on and counting back. Addition and Subtraction Number Line Calculation and reasoning Show jumps, landing points, split jumps and single jumps for addition and subtraction. Money Tool Measures and money Coins, notes, exchange and money challenges. Times Tables Trainer Interactive Games Practise times tables by questions, against the clock, in an MTC-style check or in one-mistake Beat the Clock mode. Times Tables Button Dash Interactive Games Hit the matching answer against the clock. Missing Factor Dash Interactive Games Hit the missing factor or matching equation in a quick-fire multiplication round. Number Bonds Button Dash Interactive Games Hit the missing partner or matching pair for bonds to 10, 20, 50, 100, 500 and 1000. Doubles and Halves Button Dash Interactive Games Practise quick-fire doubles and halves from single digit numbers up to 4-digit numbers. Special Numbers Button Dash Interactive Games Identify square numbers, cube numbers and prime numbers in timed rounds. Countdown Interactive Games Choose small and large numbers, build calculations towards a target and reveal a solution. Find the Primes Interactive Games Find every prime number on each level before time runs out. One wrong move ends the game. Prime Factory Interactive Games Decompose numbers into prime factors against the clock. Correct answers add time, but one wrong answer ends the round. Nasty Negatives Interactive Games Cross the bridge by answering negative-number questions. One wrong answer ends the run. Treasure Coordinates Interactive Games Find hidden treasure by selecting the correct coordinate on the grid. Translation Target Interactive Games Choose the vector that moves a shape onto its target outline. Reflection Match Interactive Games Pick the image that correctly reflects the shape in the mirror line. Four Quadrant Maze Interactive Games Navigate through a coordinate maze using direction controls. Rounding Card Sort Interactive Games Round statement cards, then sort the completed set by a shared rounding property. Fraction Wall Fractions, decimals and percentages Compare fractions and explore equivalence. Fractions, Decimals & Percentages Fractions, decimals and percentages Shade one hundred square to connect equivalent fractions, decimals and percentages, then compare or practise. Fraction Tiles Fractions, decimals and percentages Build, drag, split, add and subtract proportional fraction tiles on five canvases. Angles Geometry Classify, estimate and measure angles, then print tailored practice worksheets. Draw Shapes Geometry Construct 2-D shapes accurately from given dimensions and angles. Triangle Angles Geometry Explore the 180 degree angle sum, then print missing-angle questions with worked answers. Quadrilateral Angles Geometry Explore the 360 degree angle sum, then print missing-angle questions with worked answers. Regular Polygons Geometry Explore regular-polygon angles and print a four-shape calculation worksheet. 3D Shapes Geometry Rotate shapes, reveal faces, edges and vertices, then unfold their nets. Circles Geometry Model radius, diameter, circumference and pi, then print four copies of the current canvas. Translation Grid Coordinates and transformations Explore translation vectors and print tailored point, shape, description and correction tasks. Coordinate Grid Coordinates and transformations Read, plot and solve coordinate problems, then print task-led coordinate worksheets. Reflection Grid Coordinates and transformations Construct and reason about reflections, then print tailored pupil tasks. Expanding Number Line Number and place value Expand intervals, drag an arrow to locate values, or reason through a marked target in Scale Detective. Prime Numbers Number and place value Develop prime and composite structure through factor-pair arrays, a staged sieve and prime factor trees. Arithmagons Interactive Games Reveal circles or squares and reason from the side totals. Dot Puzzle Interactive Games Place dots so every row and column total is correct. Four Operations Puzzle Interactive Games Use the digits 1 to 9 once to satisfy row and column calculations. Grid Sums Puzzle Interactive Games Grow tile values by clicking cells that sum their neighbours. Digit Detective Interactive Games Use digit clues to build valid numbers, find alternatives and prove what must be true. Digit Draft Interactive Games Place each revealed digit before the next appears, then explain how close your number came to the best possible result. Maths Snap Interactive Games Race to match equivalent mathematical representations and win the cards in the middle. Greater or Less? Interactive Games Predict whether the next number will be greater or smaller, then prove the relationship using place value. Average and Range Blocks Statistics Build data sets and explore mean, median, mode and range. Venn Diagram Statistics Sort visual or mathematical cards by one, two or three properties, including overlaps and the outside region. Multiply & Divide by Powers of 10 Number and place value Move digits or counters across a shared place-value chart to multiply and divide by powers of 10. Place Value Counters Number and place value Build, exchange, partition and compare whole numbers and decimals with counters. Number Representation Grid Number and place value Keep one number fixed while comparing and repartitioning digits, place-values, words, counters and base-ten equipment from one million to thousandths. Compare & Order Numbers Number and place value Compare and order whole numbers by aligning place values and finding the first place where they differ. Place Value Arrow Cards Number and place value Spread and overlap place-value arrow cards so their visible digits compose one or more whole numbers. Gattegno Chart Number and place value Build whole numbers and decimals on a Gattegno chart, then solve counter challenges involving bounds, digit sums, parity and greatest or least values. Subitising Number and place value Flash, hide and discuss quantities and structures from small dot patterns to arrays and place-value units. Negative number line Number and place value Move between a signed number line and thermometer to interpret, order and reason with values across zero. Power Clue Games and puzzles Infer a secret number from powers-of-ten clues, then build it on a Gattegno chart in team turns. Rounding Number Line Number and place value Use bounding multiples, the midpoint and place value to reason about rounding whole numbers to a chosen degree of accuracy. Rounding Range Rescue Interactive Games Construct the complete range that rounds to a target, stress-test both boundaries with contrast pairs and explain the endpoint rule. Rounding Line-Up Interactive Games Round a line-up of contextual whole numbers, reveal each midpoint decision and compare cards that share a destination. Roman Numeral Composer Number and place value Partition an Arabic or Roman whole, convert its place-value groups and recombine them in paired part-whole models. Calculation Relationships Calculation Compare and complete addition and subtraction calculations by reasoning from how each side changes. The Problem-Solving Loop: Multi-step Planner Calculation Use two connected bar models to plan, explain, solve and check dependent calculations across the four operations. Column Addition & Subtraction Calculation Model, predict and repair column methods using exchanges, counters and base-10 equipment. Written Multiplication Calculation Step through compact and expanded short or long multiplication, with counters, grid method or area model alongside. Written Division Calculation Step through short or long division, connect representations and decide what a remainder means in a contextual answer. Equation Bar Model Calculation Use bar models to solve equations with one unknown and reason systematically about pairs and problems with two unknowns. Pie Chart Tool Statistics Build, adjust and compare pie chart segments. Estimate and Check Calculation Choose an efficient estimate, interpret it, then use reasonableness and an independent check across all four operations. Rules of Divisibility Calculation Predict, test and explain divisibility using digit evidence, number patterns and counterexamples.

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