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Math

Numbers, shapes, puzzles and problem solving โ€” from counting to calculus.

111 lessons

๐Ÿงธ Early Years

Ages 4-6

๐Ÿ˜MathAges 4-6Big 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 an๐Ÿš€MathAges 4-6Counting 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 e๐ŸพMathAges 4-6Counting 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 worked๐ŸพMathAges 4-6Counting 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 fu๐Ÿ’ฏMathAges 4-6Counting to 100A bright early-years lesson on counting to 100: count in ones and tens, spot patterns on the 100 square, plus fun exampl๐Ÿ”ขMathAges 4-6Counting to 1000An early-years lesson on counting to 1000: count in ones, tens and hundreds, see the hundreds pattern, plus worked examp๐Ÿ”ขMathAges 4-6Counting to 20A fun early-years counting lesson: learn the numbers from 1 to 20 in order, count real objects, spot the teen numbers, aโœŒ๏ธMathAges 4-6Doubling and HalvingAn early-years lesson on doubling and halving: double to make twice as much, halve to share fairly in two, with worked e๐ŸŠMathAges 4-6More Than, Less Than and EqualA friendly early-years lesson on comparing numbers: more than, less than and equal, the hungry crocodile trick, plus fun๐ŸคMathAges 4-6Number 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 ๐Ÿ”MathAges 4-6Number Patterns and SequencesAn early-years lesson on number patterns: spot what comes next, count in twos and tens, and finish simple sequences with๐ŸงฆMathAges 4-6Odd 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 tr๐Ÿฅ‡MathAges 4-6Ordinal Numbers (1st, 2nd, 3rd)An early-years lesson on ordinal numbers: learn 1st, 2nd, 3rd and beyond, when to use position words, with races, worked๐Ÿ”ทMathAges 4-6Shapes All Around UsA friendly early-years geometry lesson: learn circles, squares, triangles and rectangles, count their sides, and spot sh๐ŸงฉMathAges 4-6Sorting and GroupingAn early-years math lesson on sorting and grouping: sort objects by colour, shape and size, find the rule, and learn why๐Ÿ“MathAges 4-6Using 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

๐Ÿš€ Primary

Ages 7-10

๐Ÿ”ทMathAges 7-102D and 3D ShapesA primary math lesson on 2D and 3D shapes: learn flat shapes, solid shapes, sides, faces, edges and vertices with real-l๐Ÿ’ทMathAges 7-10Adding and Subtracting DecimalsLearn to add and subtract decimals by lining up the decimal points and place values. Step-by-step worked examples, a tab๐Ÿ•MathAges 7-10Adding and Subtracting FractionsLearn to add and subtract fractions step by step: same denominators, different denominators, mixed numbers, and simplifyโž•MathAges 7-10Addition and Subtraction Made EasyLearn addition and subtraction the easy way: what plus and minus mean, counting strategies, worked examples, the number ๐Ÿ“MathAges 7-10Angles and LinesLearn about angles and lines: points, rays, parallel and perpendicular lines, and right, acute, obtuse, straight and ref๐Ÿ“ŠMathAges 7-10Bar Charts and PictogramsA primary math lesson on bar charts and pictograms: read and draw them, use a key and scale, compare data, and answer qu๐Ÿ’ทMathAges 7-10Calculating with MoneyA primary math lesson on calculating with money: add and subtract amounts, work out change, convert pounds and pence, anโž•MathAges 7-10Column Addition with CarryingA step-by-step primary math lesson on column addition with carrying: line up place values, add each column, carry the teโž–MathAges 7-10Column Subtraction with BorrowingA step-by-step primary math lesson on column subtraction with borrowing: line up place values, subtract each column, excโš–๏ธMathAges 7-10Comparing and Ordering FractionsLearn to compare and order fractions: same denominators, same numerators, and common denominators. Worked examples, a taโš–๏ธMathAges 7-10Comparing and Ordering NumbersA primary lesson on comparing and ordering numbers: use place value and the >, < and = symbols to compare, then put numbโž—MathAges 7-10Dividing 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 sโž—MathAges 7-10Division Made SimpleLearn division for kids the easy way: sharing equally, division as repeated subtraction, remainders, and times tables tr๐Ÿ•MathAges 7-10Equivalent FractionsA clear primary lesson on equivalent fractions: how different fractions can show the same amount, multiply or divide to ๐ŸŽฏMathAges 7-10Estimating and RoundingA primary lesson on estimating: use rounding to make smart estimates of sums, differences and totals, and to check answeโœ–๏ธMathAges 7-10Factors and MultiplesMaster factors and multiples: how to list factors, find multiples from times tables, factor pairs, common factors and co๐ŸชMathAges 7-10Finding Fractions of a NumberLearn to find a fraction of a number step by step: divide by the denominator, multiply by the numerator. Worked examplesโœ–๏ธMathAges 7-10Introduction to MultiplicationA primary math lesson introducing multiplication: see it as repeated addition and equal groups, learn the times sign, anโž—MathAges 7-10Long DivisionA step-by-step primary lesson on long division: divide big numbers using divide-multiply-subtract-bring down, handle remโœ–๏ธMathAges 7-10Long MultiplicationA clear primary lesson on long multiplication: multiply two- and three-digit numbers step by step with the column method๐Ÿ“MathAges 7-10Measuring Length and HeightA primary math lesson on measuring length and height: use rulers, centimetres and metres, line up from zero, and compare๐Ÿง MathAges 7-10Mental Math StrategiesA practical primary math lesson on mental math strategies: learn to make ten, add the tens first, round and adjust, doub๐ŸฐMathAges 7-10Mixed Numbers and Improper FractionsLearn what mixed numbers and improper fractions are and how to convert between them. Step-by-step worked examples, a tab๐Ÿช™MathAges 7-10Money: Counting Coins and ChangeA practical primary math lesson on money: learn coin values, add coins to make amounts, and work out change with clear w๐ŸงฉMathAges 7-10Multi-Step Word ProblemsLearn to solve multi-step word problems: read carefully, plan the steps, pick the right operation, and check your answer๐ŸงฉMathAges 7-10Word Problems: Multiplication and DivisionLearn how to solve multiplication and division word problems step by step: spot the keywords, choose the right operationโœ–๏ธMathAges 7-10Multiplying 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 tr๐Ÿ“ฆMathAges 7-10Nets of 3D ShapesLearn what a net is and how flat nets fold up into 3D shapes like cubes, cuboids, pyramids, prisms, cylinders and cones ๐ŸงฎMathAges 7-10Place 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, an๐Ÿ”ขMathAges 7-10Place Value to ThousandsA clear primary math lesson on place value to thousands: read 4-digit numbers, use a place-value chart, expand numbers, ๐Ÿ”ขMathAges 7-10Prime NumbersDiscover prime numbers: what makes a number prime, why 1 is not prime, how to test for primes, and the Sieve of Eratosth๐Ÿ“ŠMathAges 7-10Reading Charts and GraphsA primary math lesson on reading charts and graphs: understand pictograms, bar charts and tally marks, read the key and โš–๏ธMathAges 7-10Reading Scales and MeasuringA primary math lesson on reading scales: work out the value of each interval on rulers, scales and measuring jugs, read ๐Ÿ›๏ธMathAges 7-10Roman 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 read๐Ÿ”ตMathAges 7-10Rounding NumbersA primary math lesson on rounding numbers: round to the nearest 10 and 100 using the 5-or-more rule, with a number line,๐Ÿฆ‹MathAges 7-10Symmetry and ReflectionLearn about symmetry and reflection: lines of symmetry, mirror images, how to reflect a shape across a line, and where s๐Ÿ•MathAges 7-10Telling 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 quarter๐Ÿ•“MathAges 7-10The 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 ๐Ÿ”ฒMathAges 7-10The Grid Method for MultiplicationA clear primary math lesson on the grid method for multiplication: partition numbers into tens and ones, fill a grid, mu๐Ÿ•’MathAges 7-10Time and Calendar ProblemsSolve everyday time and calendar problems: read clocks, work out how long things take, add and subtract time, and use daโœ–๏ธMathAges 7-10Mastering Your Times TablesMaster your times tables with simple tricks: skip counting, patterns for 2s, 5s, 9s and 10s, the multiplication grid, anโฌœMathAges 7-10Types of QuadrilateralsLearn the types of quadrilaterals: squares, rectangles, parallelograms, rhombuses, trapeziums and kites โ€” their sides, a๐Ÿ”บMathAges 7-10Types of TrianglesLearn the types of triangles by side and by angle: equilateral, isosceles, scalene, right-angled, acute and obtuse โ€” wit๐Ÿ“MathAges 7-10Units of Length, Mass and CapacityA primary math lesson on metric units: learn millimetres, centimetres, metres, kilometres, grams, kilograms, millilitres

๐Ÿ”ฌ Middle

Ages 11-13

๐Ÿ“MathAges 11-13Angles 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 i๐Ÿ“MathAges 11-13Area and PerimeterLearn area and perimeter the clear way: the difference between them, formulas for rectangles, squares and triangles, uniโญ•MathAges 11-13Circles: Circumference and AreaLearn the parts of a circle and master circumference and area using pi: clear formulas, full worked examples, the radius๐Ÿ”„MathAges 11-13Converting Fractions, Decimals and PercentagesConvert between fractions, decimals and percentages with confidence: clear rules for every direction, a handy conversion๐ŸงญMathAges 11-13Coordinates in Four QuadrantsPlot and read coordinates in all four quadrants using positive and negative x and y values. Learn the quadrant signs, th๐Ÿ”ขMathAges 11-13Decimals ExplainedUnderstand decimals clearly: place value of tenths and hundredths, reading and comparing decimals, and adding, subtractiโž—MathAges 11-13Dividing FractionsMaster dividing fractions with the keep-change-flip method: multiply by the reciprocal, simplify, and divide whole and m๐Ÿ“ฆMathAges 11-13Expanding BracketsLearn to expand brackets in algebra using the distributive law. Step-by-step worked examples with negative signs, two br๐Ÿ”ขMathAges 11-13Exponents and PowersMaster exponents and powers: what a base and exponent mean, squares and cubes, the laws of exponents, the power of zero,โš–๏ธMathAges 11-13InequalitiesUnderstand inequalities: read the four symbols, solve one- and two-step inequalities, plot solutions on a number line, a๐ŸฐMathAges 11-13Introduction to FractionsUnderstand fractions clearly: numerators and denominators, equivalent fractions, comparing and simplifying, plus worked โž–MathAges 11-13Introduction to Integers (Negative Numbers)Meet the integers: positive and negative whole numbers. Learn the number line, absolute value, and the rules for adding,๐Ÿ“ˆMathAges 11-13Line GraphsA middle-school math lesson on line graphs: plot points, read values, interpret trends and gradients, handle two lines, ๐Ÿ“ŠMathAges 11-13Mean, 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 โœ–๏ธMathAges 11-13Multiplying FractionsMaster multiplying fractions: multiply tops, multiply bottoms, simplify, and handle whole and mixed numbers. Worked exam๐Ÿ”ขMathAges 11-13Number 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 th๐ŸงฎMathAges 11-13Order of Operations (BODMAS/PEMDAS)Master the order of operations with BODMAS and PEMDAS: brackets, indices, division, multiplication, addition and subtrac%MathAges 11-13Finding a Percentage of an AmountLearn to find a percentage of an amount three ways: using 10% and 1% building blocks, fractions, and decimal multipliers๐Ÿท๏ธMathAges 11-13Percentages in Real Life (Discounts and Tax)Use percentages in everyday situations: work out discounts, sales prices, sales tax and VAT, tips, and percentage increa๐Ÿ’ฏMathAges 11-13Percentages Made EasyMaster percentages step by step: what percent means, finding a percent of a number, percentage increase and decrease, an๐ŸฅงMathAges 11-13Pie ChartsA middle-school math lesson on pie charts: read sectors, work out angles and percentages, draw your own pie chart, find โš–๏ธMathAges 11-13Ratio and Proportion ProblemsMaster ratio and proportion word problems: sharing amounts, scaling recipes, map scales, unit rates, and the unitary metโš–๏ธMathAges 11-13Ratios and ProportionsUnderstand ratios and proportions: how to write and simplify a ratio, find equivalent ratios, scale recipes, and solve p๐Ÿ”„MathAges 11-13Rotation and TranslationLearn two key transformations: rotation (turning a shape about a centre by an angle) and translation (sliding a shape). ๐ŸงนMathAges 11-13Simplifying ExpressionsLearn to simplify algebraic expressions by collecting like terms. Step-by-step worked examples covering signs, multiple โš–๏ธMathAges 11-13Solving Equations with BracketsLearn to solve linear equations that contain brackets. Step-by-step worked examples: expand, collect like terms, balance๐ŸงฎMathAges 11-13Solving Two-Step EquationsLearn to solve two-step equations the reliable way: undo operations in reverse order, keep both sides balanced, handle n๐ŸŸฆMathAges 11-13Square Numbers and Square RootsUnderstand square numbers and square roots: how squaring works, perfect squares, finding and estimating roots, and where๐Ÿ”MathAges 11-13Substituting into FormulasLearn to substitute numbers into algebraic formulas. Step-by-step worked examples with brackets, powers, negative number๐Ÿ“ฆMathAges 11-13Surface Area and VolumeLearn surface area and volume of cubes, cuboids, prisms and cylinders with clear formulas and full worked examples, plus๐Ÿ“ˆMathAges 11-13The Coordinate PlaneLearn the coordinate plane: the x-axis and y-axis, the origin, ordered pairs (x, y), the four quadrants, and how to plotโญ•MathAges 11-13Venn Diagrams and SetsLearn Venn diagrams and sets: what a set is, union and intersection, the universal set and complement, reading overlappiโœ๏ธMathAges 11-13Writing Algebraic ExpressionsLearn to turn words into algebra: choose a variable, translate phrases like 'three more than' or 'twice a number', and w

๐ŸŽ“ Teen

Ages 14-18

๐Ÿ”ฃMathAges 14-18Algebra Basics: Working with VariablesLearn algebra basics: what variables and expressions mean, combining like terms, the order of operations, and solving si๐ŸŸฆMathAges 14-18Completing the SquareLearn completing the square step by step: rewrite axยฒ + bx + c as (x + p)ยฒ + q, solve quadratics, find the vertex of a p๐Ÿ“ˆMathAges 14-18Direct and Inverse ProportionUnderstand direct and inverse proportion: the constant of proportionality, y = kx and y = k/x, how to spot each type, bu๐ŸงฉMathAges 14-18Factorising ExpressionsMaster factorising algebraic expressions: find the highest common factor, factor out the HCF, factor expressions with va๐Ÿ“ŠMathAges 14-18Functions and GraphsUnderstand functions and graphs: function notation f(x), domain and range, plotting linear and quadratic graphs, gradien๐Ÿ“MathAges 14-18Introduction to Trigonometry (SOH-CAH-TOA)A clear introduction to trigonometry: sine, cosine and tangent in right-angled triangles, SOH-CAH-TOA, finding sides andโžก๏ธMathAges 14-18Introduction to VectorsLearn vectors for beginners: magnitude and direction, column vectors, adding and subtracting vectors, scalar multiplicat๐Ÿ’ฐMathAges 14-18Budgeting and InterestLearn practical money math: build a budget, track income and expenses, understand simple and compound interest, and see ๐ŸŽฒMathAges 14-18Probability BasicsA clear intro to probability: the 0 to 1 scale, theoretical vs experimental probability, complementary events, and combi๐Ÿ“ˆMathAges 14-18Quadratic EquationsMaster quadratic equations: standard form, solving by factoring, the quadratic formula, completing the square, and the d๐Ÿ”ฌMathAges 14-18Scientific Notation (Standard Form)Learn scientific notation, also called standard form: writing huge and tiny numbers as a ร— 10โฟ, converting both ways, an๐ŸงฎMathAges 14-18Simultaneous EquationsLearn to solve simultaneous equations by substitution, elimination and graphing. Step-by-step worked examples, a compari๐ŸŸฐMathAges 14-18Solving Linear EquationsSolve linear equations confidently: balancing both sides, inverse operations, variables on both sides, and equations wit๐Ÿ“‰MathAges 14-18Straight-Line Graphs and GradientsMaster straight-line graphs: the equation y = mx + c, finding gradient and y-intercept, plotting lines, parallel and perโˆšMathAges 14-18Surds and Irrational NumbersLearn surds and irrational numbers: what makes a number irrational, simplifying surds, adding, multiplying and rationali๐Ÿ“MathAges 14-18The Pythagorean TheoremUnderstand the Pythagorean theorem a^2 + b^2 = c^2: how it works in right triangles, why it is true, finding the hypoten๐ŸงฎMathAges 14-18The Quadratic FormulaMaster the quadratic formula x = (โˆ’b ยฑ โˆš(bยฒ โˆ’ 4ac)) / 2a: how to identify a, b, c, use the discriminant, and solve any q๐Ÿ“MathAges 14-18The 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