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Math
Numbers, shapes, puzzles and problem solving โ from counting to calculus.
111 lessons
๐งธ Early Years
Ages 4-6
๐Big and Small: Comparing SizesA warm early-years math lesson on comparing sizes: learn big and small, tall and short, long and short, and more than an๐Counting Backwards and Skip CountingA fun early-years math lesson: count backwards from 10, blast off like a rocket, and skip count by 2s, 5s and 10s with e๐พCounting in 2s, 5s and 10sAn early-years lesson on skip counting: count in 2s, 5s and 10s, spot the patterns, count quickly in groups, with worked๐พCounting to 10 with AnimalsA playful first counting lesson for ages 4-6: count from 1 to 10 with friendly animals, learn number order, and try a fu๐ฏCounting to 100A bright early-years lesson on counting to 100: count in ones and tens, spot patterns on the 100 square, plus fun exampl๐ขCounting to 1000An early-years lesson on counting to 1000: count in ones, tens and hundreds, see the hundreds pattern, plus worked examp๐ขCounting to 20A fun early-years counting lesson: learn the numbers from 1 to 20 in order, count real objects, spot the teen numbers, aโ๏ธDoubling and HalvingAn early-years lesson on doubling and halving: double to make twice as much, halve to share fairly in two, with worked e๐More Than, Less Than and EqualA friendly early-years lesson on comparing numbers: more than, less than and equal, the hungry crocodile trick, plus fun๐คNumber Bonds to 10A warm, hands-on early-years lesson on number bonds to 10: the pairs of numbers that add up to 10, why they matter, fun ๐Number Patterns and SequencesAn early-years lesson on number patterns: spot what comes next, count in twos and tens, and finish simple sequences with๐งฆOdd and Even NumbersA friendly early-years math lesson on odd and even numbers: learn to pair up objects, spot even and odd, and use easy tr๐ฅOrdinal Numbers (1st, 2nd, 3rd)An early-years lesson on ordinal numbers: learn 1st, 2nd, 3rd and beyond, when to use position words, with races, worked๐ทShapes All Around UsA friendly early-years geometry lesson: learn circles, squares, triangles and rectangles, count their sides, and spot sh๐งฉSorting and GroupingAn early-years math lesson on sorting and grouping: sort objects by colour, shape and size, find the rule, and learn why๐Using a Number LineAn early-years lesson on the number line: read it, count on and back, jump to add and subtract, find numbers between, wi
๐ Primary
Ages 7-10
๐ท2D and 3D ShapesA primary math lesson on 2D and 3D shapes: learn flat shapes, solid shapes, sides, faces, edges and vertices with real-l๐ทAdding and Subtracting DecimalsLearn to add and subtract decimals by lining up the decimal points and place values. Step-by-step worked examples, a tab๐Adding and Subtracting FractionsLearn to add and subtract fractions step by step: same denominators, different denominators, mixed numbers, and simplifyโAddition and Subtraction Made EasyLearn addition and subtraction the easy way: what plus and minus mean, counting strategies, worked examples, the number ๐Angles and LinesLearn about angles and lines: points, rays, parallel and perpendicular lines, and right, acute, obtuse, straight and ref๐Bar Charts and PictogramsA primary math lesson on bar charts and pictograms: read and draw them, use a key and scale, compare data, and answer qu๐ทCalculating with MoneyA primary math lesson on calculating with money: add and subtract amounts, work out change, convert pounds and pence, anโColumn Addition with CarryingA step-by-step primary math lesson on column addition with carrying: line up place values, add each column, carry the teโColumn Subtraction with BorrowingA step-by-step primary math lesson on column subtraction with borrowing: line up place values, subtract each column, excโ๏ธComparing and Ordering FractionsLearn to compare and order fractions: same denominators, same numerators, and common denominators. Worked examples, a taโ๏ธComparing and Ordering NumbersA primary lesson on comparing and ordering numbers: use place value and the >, < and = symbols to compare, then put numbโDividing by 10, 100 and 1000A primary math lesson on dividing by 10, 100 and 1000: learn how digits shift right, why numbers shrink ten times each sโDivision Made SimpleLearn division for kids the easy way: sharing equally, division as repeated subtraction, remainders, and times tables tr๐Equivalent FractionsA clear primary lesson on equivalent fractions: how different fractions can show the same amount, multiply or divide to ๐ฏEstimating and RoundingA primary lesson on estimating: use rounding to make smart estimates of sums, differences and totals, and to check answeโ๏ธFactors and MultiplesMaster factors and multiples: how to list factors, find multiples from times tables, factor pairs, common factors and co๐ชFinding Fractions of a NumberLearn to find a fraction of a number step by step: divide by the denominator, multiply by the numerator. Worked examplesโ๏ธIntroduction to MultiplicationA primary math lesson introducing multiplication: see it as repeated addition and equal groups, learn the times sign, anโLong DivisionA step-by-step primary lesson on long division: divide big numbers using divide-multiply-subtract-bring down, handle remโ๏ธLong MultiplicationA clear primary lesson on long multiplication: multiply two- and three-digit numbers step by step with the column method๐Measuring Length and HeightA primary math lesson on measuring length and height: use rulers, centimetres and metres, line up from zero, and compare๐ง Mental Math StrategiesA practical primary math lesson on mental math strategies: learn to make ten, add the tens first, round and adjust, doub๐ฐMixed Numbers and Improper FractionsLearn what mixed numbers and improper fractions are and how to convert between them. Step-by-step worked examples, a tab๐ชMoney: Counting Coins and ChangeA practical primary math lesson on money: learn coin values, add coins to make amounts, and work out change with clear w๐งฉMulti-Step Word ProblemsLearn to solve multi-step word problems: read carefully, plan the steps, pick the right operation, and check your answer๐งฉWord Problems: Multiplication and DivisionLearn how to solve multiplication and division word problems step by step: spot the keywords, choose the right operationโ๏ธMultiplying by 10, 100 and 1000A primary math lesson on multiplying by 10, 100 and 1000: learn the place-value shift, why digits move left, the zero tr๐ฆNets of 3D ShapesLearn what a net is and how flat nets fold up into 3D shapes like cubes, cuboids, pyramids, prisms, cylinders and cones ๐งฎPlace Value: Tens and OnesA clear primary math lesson on place value: learn how tens and ones build two-digit numbers, use a place-value chart, an๐ขPlace Value to ThousandsA clear primary math lesson on place value to thousands: read 4-digit numbers, use a place-value chart, expand numbers, ๐ขPrime NumbersDiscover prime numbers: what makes a number prime, why 1 is not prime, how to test for primes, and the Sieve of Eratosth๐Reading Charts and GraphsA primary math lesson on reading charts and graphs: understand pictograms, bar charts and tally marks, read the key and โ๏ธReading Scales and MeasuringA primary math lesson on reading scales: work out the value of each interval on rulers, scales and measuring jugs, read ๐๏ธRoman NumeralsLearn Roman numerals the easy way: the seven symbols I V X L C D M, how the add and subtract rules work, and how to read๐ตRounding NumbersA primary math lesson on rounding numbers: round to the nearest 10 and 100 using the 5-or-more rule, with a number line,๐ฆSymmetry and ReflectionLearn about symmetry and reflection: lines of symmetry, mirror images, how to reflect a shape across a line, and where s๐Telling the Time on a ClockA primary math lesson on telling the time: learn the hour and minute hands, o'clock, half past, quarter past and quarter๐The 24-Hour ClockA primary math lesson on the 24-hour clock: learn how to convert between 12-hour and 24-hour time, read timetables, and ๐ฒThe Grid Method for MultiplicationA clear primary math lesson on the grid method for multiplication: partition numbers into tens and ones, fill a grid, mu๐Time and Calendar ProblemsSolve everyday time and calendar problems: read clocks, work out how long things take, add and subtract time, and use daโ๏ธMastering Your Times TablesMaster your times tables with simple tricks: skip counting, patterns for 2s, 5s, 9s and 10s, the multiplication grid, anโฌTypes of QuadrilateralsLearn the types of quadrilaterals: squares, rectangles, parallelograms, rhombuses, trapeziums and kites โ their sides, a๐บTypes of TrianglesLearn the types of triangles by side and by angle: equilateral, isosceles, scalene, right-angled, acute and obtuse โ wit๐Units of Length, Mass and CapacityA primary math lesson on metric units: learn millimetres, centimetres, metres, kilometres, grams, kilograms, millilitres
๐ฌ Middle
Ages 11-13
๐Angles in a TriangleDiscover why the angles in a triangle always add up to 180ยฐ, how to find a missing angle, the exterior angle rule, and i๐Area and PerimeterLearn area and perimeter the clear way: the difference between them, formulas for rectangles, squares and triangles, uniโญCircles: Circumference and AreaLearn the parts of a circle and master circumference and area using pi: clear formulas, full worked examples, the radius๐Converting Fractions, Decimals and PercentagesConvert between fractions, decimals and percentages with confidence: clear rules for every direction, a handy conversion๐งญCoordinates in Four QuadrantsPlot and read coordinates in all four quadrants using positive and negative x and y values. Learn the quadrant signs, th๐ขDecimals ExplainedUnderstand decimals clearly: place value of tenths and hundredths, reading and comparing decimals, and adding, subtractiโDividing FractionsMaster dividing fractions with the keep-change-flip method: multiply by the reciprocal, simplify, and divide whole and m๐ฆExpanding BracketsLearn to expand brackets in algebra using the distributive law. Step-by-step worked examples with negative signs, two br๐ขExponents and PowersMaster exponents and powers: what a base and exponent mean, squares and cubes, the laws of exponents, the power of zero,โ๏ธInequalitiesUnderstand inequalities: read the four symbols, solve one- and two-step inequalities, plot solutions on a number line, a๐ฐIntroduction to FractionsUnderstand fractions clearly: numerators and denominators, equivalent fractions, comparing and simplifying, plus worked โIntroduction to Integers (Negative Numbers)Meet the integers: positive and negative whole numbers. Learn the number line, absolute value, and the rules for adding,๐Line GraphsA middle-school math lesson on line graphs: plot points, read values, interpret trends and gradients, handle two lines, ๐Mean, Median, Mode and RangeMaster the four key statistics: learn to calculate mean, median, mode and range step by step, when to use each one, and โ๏ธMultiplying FractionsMaster multiplying fractions: multiply tops, multiply bottoms, simplify, and handle whole and mixed numbers. Worked exam๐ขNumber Sequences and the nth TermLearn to find the nth term rule of a linear sequence. Step-by-step worked examples: find the common difference, build th๐งฎOrder of Operations (BODMAS/PEMDAS)Master the order of operations with BODMAS and PEMDAS: brackets, indices, division, multiplication, addition and subtrac%Finding a Percentage of an AmountLearn to find a percentage of an amount three ways: using 10% and 1% building blocks, fractions, and decimal multipliers๐ท๏ธPercentages in Real Life (Discounts and Tax)Use percentages in everyday situations: work out discounts, sales prices, sales tax and VAT, tips, and percentage increa๐ฏPercentages Made EasyMaster percentages step by step: what percent means, finding a percent of a number, percentage increase and decrease, an๐ฅงPie ChartsA middle-school math lesson on pie charts: read sectors, work out angles and percentages, draw your own pie chart, find โ๏ธRatio and Proportion ProblemsMaster ratio and proportion word problems: sharing amounts, scaling recipes, map scales, unit rates, and the unitary metโ๏ธRatios and ProportionsUnderstand ratios and proportions: how to write and simplify a ratio, find equivalent ratios, scale recipes, and solve p๐Rotation and TranslationLearn two key transformations: rotation (turning a shape about a centre by an angle) and translation (sliding a shape). ๐งนSimplifying ExpressionsLearn to simplify algebraic expressions by collecting like terms. Step-by-step worked examples covering signs, multiple โ๏ธSolving Equations with BracketsLearn to solve linear equations that contain brackets. Step-by-step worked examples: expand, collect like terms, balance๐งฎSolving Two-Step EquationsLearn to solve two-step equations the reliable way: undo operations in reverse order, keep both sides balanced, handle n๐ฆSquare Numbers and Square RootsUnderstand square numbers and square roots: how squaring works, perfect squares, finding and estimating roots, and where๐Substituting into FormulasLearn to substitute numbers into algebraic formulas. Step-by-step worked examples with brackets, powers, negative number๐ฆSurface Area and VolumeLearn surface area and volume of cubes, cuboids, prisms and cylinders with clear formulas and full worked examples, plus๐The Coordinate PlaneLearn the coordinate plane: the x-axis and y-axis, the origin, ordered pairs (x, y), the four quadrants, and how to plotโญVenn Diagrams and SetsLearn Venn diagrams and sets: what a set is, union and intersection, the universal set and complement, reading overlappiโ๏ธWriting Algebraic ExpressionsLearn to turn words into algebra: choose a variable, translate phrases like 'three more than' or 'twice a number', and w
๐ Teen
Ages 14-18
๐ฃAlgebra Basics: Working with VariablesLearn algebra basics: what variables and expressions mean, combining like terms, the order of operations, and solving si๐ฆCompleting the SquareLearn completing the square step by step: rewrite axยฒ + bx + c as (x + p)ยฒ + q, solve quadratics, find the vertex of a p๐Direct and Inverse ProportionUnderstand direct and inverse proportion: the constant of proportionality, y = kx and y = k/x, how to spot each type, bu๐งฉFactorising ExpressionsMaster factorising algebraic expressions: find the highest common factor, factor out the HCF, factor expressions with va๐Functions and GraphsUnderstand functions and graphs: function notation f(x), domain and range, plotting linear and quadratic graphs, gradien๐Introduction to Trigonometry (SOH-CAH-TOA)A clear introduction to trigonometry: sine, cosine and tangent in right-angled triangles, SOH-CAH-TOA, finding sides andโก๏ธIntroduction to VectorsLearn vectors for beginners: magnitude and direction, column vectors, adding and subtracting vectors, scalar multiplicat๐ฐBudgeting and InterestLearn practical money math: build a budget, track income and expenses, understand simple and compound interest, and see ๐ฒProbability BasicsA clear intro to probability: the 0 to 1 scale, theoretical vs experimental probability, complementary events, and combi๐Quadratic EquationsMaster quadratic equations: standard form, solving by factoring, the quadratic formula, completing the square, and the d๐ฌScientific Notation (Standard Form)Learn scientific notation, also called standard form: writing huge and tiny numbers as a ร 10โฟ, converting both ways, an๐งฎSimultaneous EquationsLearn to solve simultaneous equations by substitution, elimination and graphing. Step-by-step worked examples, a compari๐ฐSolving Linear EquationsSolve linear equations confidently: balancing both sides, inverse operations, variables on both sides, and equations wit๐Straight-Line Graphs and GradientsMaster straight-line graphs: the equation y = mx + c, finding gradient and y-intercept, plotting lines, parallel and perโSurds and Irrational NumbersLearn surds and irrational numbers: what makes a number irrational, simplifying surds, adding, multiplying and rationali๐The Pythagorean TheoremUnderstand the Pythagorean theorem a^2 + b^2 = c^2: how it works in right triangles, why it is true, finding the hypoten๐งฎThe Quadratic FormulaMaster the quadratic formula x = (โb ยฑ โ(bยฒ โ 4ac)) / 2a: how to identify a, b, c, use the discriminant, and solve any q๐The Sine and Cosine RulesLearn the sine rule and cosine rule for any triangle: when to use each, finding missing sides and angles, the area formu