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Math
Numbers, shapes, puzzles and problem solving — from counting to calculus.
196 lessons
🧸 Early Years
Ages 4-6
🐘Big 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 an🚀Counting 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 e🐾Counting 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 worked🍎Counting Objects One by OneA gentle early-years lesson on one-to-one counting: touching each object once, the last number tells how many, with exam👆Counting On from a NumberAn early-years lesson on counting on: start at the bigger number and count the rest to add quickly, instead of counting 🐾Counting 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 fu💯Counting to 100A bright early-years lesson on counting to 100: count in ones and tens, spot patterns on the 100 square, plus fun exampl🔢Counting to 1000An early-years lesson on counting to 1000: count in ones, tens and hundreds, see the hundreds pattern, plus worked examp🔢Counting to 20A fun early-years counting lesson: learn the numbers from 1 to 20 in order, count real objects, spot the teen numbers, a✌️Doubling and HalvingAn early-years lesson on doubling and halving: double to make twice as much, halve to share fairly in two, with worked e🧮Making 10 to AddAn early-years lesson on the make-10 strategy: how to add quickly by building up to ten first. Clear worked examples, a 🐊More Than, Less Than and EqualA friendly early-years lesson on comparing numbers: more than, less than and equal, the hungry crocodile trick, plus fun🤝Number 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 🔁Number Patterns and SequencesAn early-years lesson on number patterns: spot what comes next, count in twos and tens, and finish simple sequences with🧦Odd 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 tr➕One More and One LessA warm early-years lesson on one more and one less: how numbers grow by one and shrink by one, with the number line, wor🥇Ordinal Numbers (1st, 2nd, 3rd)An early-years lesson on ordinal numbers: learn 1st, 2nd, 3rd and beyond, when to use position words, with races, worked🔷Shapes All Around UsA friendly early-years geometry lesson: learn circles, squares, triangles and rectangles, count their sides, and spot sh📖Simple Number StoriesAn early-years lesson on number stories: turning little real-life tales into add and take-away sums. Worked examples, pi🧩Sorting and GroupingAn early-years math lesson on sorting and grouping: sort objects by colour, shape and size, find the rule, and learn why🎲Subitising: Recognising Small Amounts at a GlanceA friendly early-years lesson on subitising — seeing how many objects there are without counting. Learn dot patterns, fu🔟Teen Numbers 11 to 19A clear early-years lesson on teen numbers 11 to 19: a ten and some ones, why their names are tricky, worked examples, a📏Using 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✏️Writing Numbers 0 to 9An early-years lesson on number formation: how to write the digits 0 to 9 the right way, with simple stroke rhymes, a ha
🚀 Primary
Ages 7-10
🔷2D and 3D ShapesA primary math lesson on 2D and 3D shapes: learn flat shapes, solid shapes, sides, faces, edges and vertices with real-l💷Adding and Subtracting DecimalsLearn to add and subtract decimals by lining up the decimal points and place values. Step-by-step worked examples, a tab🍕Adding and Subtracting FractionsLearn to add and subtract fractions step by step: same denominators, different denominators, mixed numbers, and simplify🎯Adding by Rounding and AdjustingA clear primary lesson on the round-and-adjust addition strategy: round a number to a tidy ten, add, then adjust back. W🧮Adding Three NumbersA clear primary lesson on adding three numbers: reorder to find easy pairs, look for bonds to 10, and add in any order. ➕Addition and Subtraction Word ProblemsSolve addition and subtraction word problems with confidence: spot part-whole and comparison stories, draw bar models, h➕Addition and Subtraction Made EasyLearn addition and subtraction the easy way: what plus and minus mean, counting strategies, worked examples, the number 🌅AM and PM: Time of DayA primary math lesson on am and pm: what midnight and noon mean, how the clock repeats twice a day, matching times to mo📐Angles and LinesLearn about angles and lines: points, rays, parallel and perpendicular lines, and right, acute, obtuse, straight and ref🟦Area by Counting SquaresA primary math lesson on finding area by counting squares: what area means, counting unit squares, square centimetres an📊Bar Charts and PictogramsA primary math lesson on bar charts and pictograms: read and draw them, use a key and scale, compare data, and answer qu🌉Bridging Through TenA step-by-step primary lesson on bridging through ten: split a number to make a tidy 10 first, then add the rest. Worked💷Calculating with MoneyA primary math lesson on calculating with money: add and subtract amounts, work out change, convert pounds and pence, an🔁Checking with the InverseA clear primary lesson on checking answers using inverse operations: undo an addition with subtraction and a subtraction➕Column Addition with CarryingA step-by-step primary math lesson on column addition with carrying: line up place values, add each column, carry the te➖Column Subtraction with BorrowingA step-by-step primary math lesson on column subtraction with borrowing: line up place values, subtract each column, exc⚖️Comparing and Ordering FractionsLearn to compare and order fractions: same denominators, same numerators, and common denominators. Worked examples, a ta⚖️Comparing and Ordering NumbersA primary lesson on comparing and ordering numbers: use place value and the >, < and = symbols to compare, then put numb🪜Counting Up to SubtractA friendly primary lesson on counting up to subtract: find the difference by counting forward from the smaller number. W🧊Cube Numbers and Cube RootsLearn cube numbers and cube roots: what cubing means, the first cube numbers, how to find a cube root, and where cubes a➗Dividing 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 s➗Division Made SimpleLearn division for kids the easy way: sharing equally, division as repeated subtraction, remainders, and times tables tr➗Division with RemaindersLearn division with remainders: what a remainder is, how to find it, why the remainder is always smaller than the diviso🍕Equivalent FractionsA clear primary lesson on equivalent fractions: how different fractions can show the same amount, multiply or divide to 🎯Estimating and RoundingA primary lesson on estimating: use rounding to make smart estimates of sums, differences and totals, and to check answe👨👩👧Fact Families: Addition and SubtractionA clear primary lesson on fact families: how three numbers make four related addition and subtraction facts. Worked exam✖️Factors and MultiplesMaster factors and multiples: how to list factors, find multiples from times tables, factor pairs, common factors and co🍪Finding Fractions of a NumberLearn to find a fraction of a number step by step: divide by the denominator, multiply by the numerator. Worked examples📏Fractions on a Number LineA primary lesson on placing fractions on a number line: split each whole into equal parts, label thirds and quarters, co✖️Introduction to MultiplicationA primary math lesson introducing multiplication: see it as repeated addition and equal groups, learn the times sign, an➗Long DivisionA step-by-step primary lesson on long division: divide big numbers using divide-multiply-subtract-bring down, handle rem✖️Long MultiplicationA clear primary lesson on long multiplication: multiply two- and three-digit numbers step by step with the column method📏Measuring Length and HeightA primary math lesson on measuring length and height: use rulers, centimetres and metres, line up from zero, and compare🧠Mental Math StrategiesA practical primary math lesson on mental math strategies: learn to make ten, add the tens first, round and adjust, doub⚡Mental Multiplication TricksSpeed up your times tables with mental multiplication tricks: multiplying by 10s, doubling for 4 and 8, the times-9 fing🍰Mixed Numbers and Improper FractionsLearn what mixed numbers and improper fractions are and how to convert between them. Step-by-step worked examples, a tab🪙Money: Counting Coins and ChangeA practical primary math lesson on money: learn coin values, add coins to make amounts, and work out change with clear w🧩Multi-Step Word ProblemsLearn to solve multi-step word problems: read carefully, plan the steps, pick the right operation, and check your answer🧩Word Problems: Multiplication and DivisionLearn how to solve multiplication and division word problems step by step: spot the keywords, choose the right operation🔲Multiplication as ArraysLearn multiplication with arrays: rows and columns of dots that show why 3 × 4 = 12, why you can swap the numbers, and h✖️Multiplying 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 tr✌️Multiplying by DoublingA powerful mental strategy: multiply by repeatedly doubling. Multiply by 2, 4, 8 and 16 with ease, use the double-and-ha➕The Near Doubles StrategyA clear primary lesson on the near doubles addition strategy: use a double you know, then adjust by one or two. Worked e📦Nets of 3D ShapesLearn what a net is and how flat nets fold up into 3D shapes like cubes, cuboids, pyramids, prisms, cylinders and cones 🤝Number Bonds to 20A friendly primary lesson on number bonds to 20: the pairs that make 20, how they grow from bonds to 10, worked examples✂️Partitioning to AddA clear primary lesson on partitioning to add: split numbers into tens and ones, add each part, then recombine. Worked e🧮Place 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, an🔢Place Value to ThousandsA clear primary math lesson on place value to thousands: read 4-digit numbers, use a place-value chart, expand numbers, 🔢Prime NumbersDiscover prime numbers: what makes a number prime, why 1 is not prime, how to test for primes, and the Sieve of Eratosth🧊Properties of 3D SolidsExplore the properties of 3D solids: faces, edges and vertices of cubes, cuboids, prisms, pyramids, cylinders, cones and📐Reading a Ruler in cm and mmA primary math lesson on reading a ruler accurately: line up the zero, read centimetres and millimetres, write lengths l📊Reading Charts and GraphsA primary math lesson on reading charts and graphs: understand pictograms, bar charts and tally marks, read the key and ⚖️Reading Scales and MeasuringA primary math lesson on reading scales: work out the value of each interval on rulers, scales and measuring jugs, read 🏛️Roman 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 read🔵Rounding NumbersA primary math lesson on rounding numbers: round to the nearest 10 and 100 using the 5-or-more rule, with a number line,➗Sharing and Grouping in DivisionTwo ways to understand division: sharing equally (how many each?) and grouping (how many groups?). See why both give the🦋Symmetry and ReflectionLearn about symmetry and reflection: lines of symmetry, mirror images, how to reflect a shape across a line, and where s📋Tally Charts and Frequency TablesLearn to collect data with tally marks and organise it into a frequency table. Step-by-step worked examples, a class sur🕐Telling 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 quarter🌡️Temperature and ThermometersA primary math lesson on temperature: reading a thermometer in degrees Celsius, working out the value of each mark, unde🔟Tenths and HundredthsA primary lesson on tenths and hundredths: split one whole into 10 and 100 equal parts, write them as fractions and deci🕓The 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 ✖️The 3, 6 and 9 Times TablesLearn the 3, 6 and 9 times tables with smart strategies: the digit-sum trick for 3s and 9s, doubling the 3s to get the 6✖️The 4 and 8 Times TablesMaster the 4 and 8 times tables the smart way — by doubling. Learn the patterns, how 8s are double the 4s, worked exampl✖️The 7 Times TableConquer the trickiest table of all — the 7 times table. Learn it by splitting into 5s and 2s, use the swap rule to shrin🔲The Grid Method for MultiplicationA clear primary math lesson on the grid method for multiplication: partition numbers into tens and ones, fill a grid, mu🎯The Probability Scale from 0 to 1Understand the probability scale: impossible, unlikely, even chance, likely and certain. Place events on a 0 to 1 line w🕒Time and Calendar ProblemsSolve everyday time and calendar problems: read clocks, work out how long things take, add and subtract time, and use da✖️Mastering Your Times TablesMaster your times tables with simple tricks: skip counting, patterns for 2s, 5s, 9s and 10s, the multiplication grid, an⬜Types of QuadrilateralsLearn the types of quadrilaterals: squares, rectangles, parallelograms, rhombuses, trapeziums and kites — their sides, a🔺Types of TrianglesLearn the types of triangles by side and by angle: equilateral, isosceles, scalene, right-angled, acute and obtuse — wit📏Units of Length, Mass and CapacityA primary math lesson on metric units: learn millimetres, centimetres, metres, kilometres, grams, kilograms, millilitres⚖️Weighing with ScalesA primary math lesson on weighing: using kitchen and balance scales, reading mass in grams and kilograms, working out ea
🔬 Middle
Ages 11-13
📐Angles in a TriangleDiscover why the angles in a triangle always add up to 180°, how to find a missing angle, the exterior angle rule, and i📐Area and PerimeterLearn area and perimeter the clear way: the difference between them, formulas for rectangles, squares and triangles, uni📐Area of a TriangleMaster the area of a triangle: why the formula is ½ × base × height, how to find the perpendicular height, worked exampl📐Area of Parallelograms and TrapeziumsFind the area of parallelograms and trapeziums with clear formulas, why they work, the perpendicular-height rule, and st📊Averages from a Frequency TableFind the mean, median and mode from a frequency table. Learn the fx column method, the cumulative count for the median, 🥤Capacity and Volume in LitresA middle-school math lesson on capacity and volume: litres and millilitres, reading measuring jugs, the link between 1 l⭕Circles: Circumference and AreaLearn the parts of a circle and master circumference and area using pi: clear formulas, full worked examples, the radius🧮Collecting Like TermsMaster collecting like terms in algebra: spot matching terms, add and subtract their coefficients, handle negatives and 🔄Converting Fractions, Decimals and PercentagesConvert between fractions, decimals and percentages with confidence: clear rules for every direction, a handy conversion🔁Converting Metric UnitsA middle-school math lesson on converting metric units of length, mass and capacity: the prefix staircase, multiplying a🧭Coordinates in Four QuadrantsPlot and read coordinates in all four quadrants using positive and negative x and y values. Learn the quadrant signs, th🔢Decimals ExplainedUnderstand decimals clearly: place value of tenths and hundredths, reading and comparing decimals, and adding, subtracti➗Dividing DecimalsA middle-school lesson on dividing decimals: divide by a whole number, turn a decimal divisor into a whole number, and u➗Dividing FractionsMaster dividing fractions with the keep-change-flip method: multiply by the reciprocal, simplify, and divide whole and m🔢Divisibility RulesQuick divisibility tests for 2, 3, 4, 5, 6, 8, 9, 10 and 11 — how to tell if a number divides exactly without doing the ✅Estimation and Checking AnswersLearn to estimate answers and check your work: rounding to estimate, the inverse operation check, the does-it-make-sense📦Expanding BracketsLearn to expand brackets in algebra using the distributive law. Step-by-step worked examples with negative signs, two br🎲Experimental vs Theoretical ProbabilityCompare experimental and theoretical probability using relative frequency. Learn to estimate chance from trials, spot bi🔢Exponents and PowersMaster exponents and powers: what a base and exponent mean, squares and cubes, the laws of exponents, the power of zero,📏Graphing Inequalities on a Number LineShow linear inequalities on a number line: open vs closed circles, which way the arrow points, solving first, and readin📏Imperial and Metric UnitsA middle-school math lesson comparing imperial and metric units: inches, feet, miles, pounds, pints versus metric, with ⚖️InequalitiesUnderstand inequalities: read the four symbols, solve one- and two-step inequalities, plot solutions on a number line, a🍰Introduction to FractionsUnderstand fractions clearly: numerators and denominators, equivalent fractions, comparing and simplifying, plus worked ➖Introduction to Integers (Negative Numbers)Meet the integers: positive and negative whole numbers. Learn the number line, absolute value, and the rules for adding,📈Line GraphsA middle-school math lesson on line graphs: plot points, read values, interpret trends and gradients, handle two lines, 🔗Lowest Common Multiple and Highest Common FactorLearn the LCM and HCF: how to find the lowest common multiple and highest common factor using lists and prime factors, p📊Mean, 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 ✖️Multiplying DecimalsA middle-school lesson on multiplying decimals: multiply as whole numbers then place the decimal point by counting decim✖️Multiplying FractionsMaster multiplying fractions: multiply tops, multiply bottoms, simplify, and handle whole and mixed numbers. Worked exam🔢Number 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 th➖Operations with Negative NumbersMaster adding, subtracting, multiplying and dividing negative numbers: the sign rules, using a number line, and double-n🧮Order of Operations (BODMAS/PEMDAS)Master the order of operations with BODMAS and PEMDAS: brackets, indices, division, multiplication, addition and subtrac📈Percentage Increase and DecreaseA middle-school lesson on percentage increase and decrease using multipliers: build the multiplier, apply it in one step%Finding a Percentage of an AmountLearn to find a percentage of an amount three ways: using 10% and 1% building blocks, fractions, and decimal multipliers🏷️Percentages in Real Life (Discounts and Tax)Use percentages in everyday situations: work out discounts, sales prices, sales tax and VAT, tips, and percentage increa💯Percentages Made EasyMaster percentages step by step: what percent means, finding a percent of a number, percentage increase and decrease, an📐Perimeter of Compound ShapesLearn to find the perimeter of compound (composite) shapes: how to find missing side lengths, work systematically around🥧Pie ChartsA middle-school math lesson on pie charts: read sectors, work out angles and percentages, draw your own pie chart, find 🌳Prime FactorisationLearn prime factorisation: how to break any number into its prime building blocks using a factor tree, write the answer ⚖️Ratio and Proportion ProblemsMaster ratio and proportion word problems: sharing amounts, scaling recipes, map scales, unit rates, and the unitary met⚖️Ratios and ProportionsUnderstand ratios and proportions: how to write and simplify a ratio, find equivalent ratios, scale recipes, and solve p🔄Rotation and TranslationLearn two key transformations: rotation (turning a shape about a centre by an angle) and translation (sliding a shape). 🔟Rounding to Significant FiguresLearn how to round numbers to significant figures: identifying significant figures, the rounding rule, handling zeros an📏Scaling: Times as BigUnderstand multiplication as scaling — making quantities 'times as big' or 'times as small'. Learn scale factors, how to🧹Simplifying ExpressionsLearn to simplify algebraic expressions by collecting like terms. Step-by-step worked examples covering signs, multiple ✂️Simplifying Fractions Using the HCFA middle-school lesson on simplifying fractions in one step using the highest common factor: find the HCF, divide top an⚖️Solving Equations with BracketsLearn to solve linear equations that contain brackets. Step-by-step worked examples: expand, collect like terms, balance🧮Solving Two-Step EquationsLearn to solve two-step equations the reliable way: undo operations in reverse order, keep both sides balanced, handle n🟦Square Numbers and Square RootsUnderstand square numbers and square roots: how squaring works, perfect squares, finding and estimating roots, and where🔁Substituting into FormulasLearn to substitute numbers into algebraic formulas. Step-by-step worked examples with brackets, powers, negative number📦Surface Area and VolumeLearn surface area and volume of cubes, cuboids, prisms and cylinders with clear formulas and full worked examples, plus📈The Coordinate PlaneLearn the coordinate plane: the x-axis and y-axis, the origin, ordered pairs (x, y), the four quadrants, and how to plot📐The Distributive LawUnderstand the distributive law: how multiplication spreads over addition and subtraction, a(b+c)=ab+ac, using it for me📏The Range and OutliersLearn how the range measures spread, why it is sensitive to outliers, and how to spot and handle outliers in data. Worke🚆Time Durations and TimetablesA middle-school math lesson on working out elapsed time and reading bus and train timetables: counting time on in steps,🔲Two-Way TablesMaster two-way tables: read rows, columns and totals, fill in missing values, and pull out probabilities. Clear worked e📐Drawing and Measuring Angles with a ProtractorLearn to measure and draw angles with a protractor: line up the centre and baseline, read the correct scale, avoid the u⭕Venn Diagrams and SetsLearn Venn diagrams and sets: what a set is, union and intersection, the universal set and complement, reading overlappi✍️Writing Algebraic ExpressionsLearn to turn words into algebra: choose a variable, translate phrases like 'three more than' or 'twice a number', and w
🎓 Teen
Ages 14-18
🔣Algebra Basics: Working with VariablesLearn algebra basics: what variables and expressions mean, combining like terms, the order of operations, and solving si📐Angles on Parallel LinesMaster angles on parallel lines: corresponding, alternate and co-interior angles, how to spot the F, Z and C shapes, wit🧭Bearings and NavigationLearn three-figure bearings for navigation: measuring from north, back bearings, and combining bearings with trigonometr⭕Introduction to Circle TheoremsAn introduction to circle theorems: the parts of a circle, the angle in a semicircle, the angle at the centre, angles in🟦Completing the SquareLearn completing the square step by step: rewrite ax² + bx + c as (x + p)² + q, solve quadratics, find the vertex of a p💹Compound Interest and Exponential GrowthMaster compound interest and exponential growth: the multiplier method, the compound interest formula, growth vs decay, 📐Congruence and SimilarityUnderstand congruence and similarity: when shapes are identical versus scaled copies, the SSS, SAS, ASA and RHS congruen✏️Differentiation BasicsLearn differentiation from scratch: the power rule, dy/dx notation, differentiating polynomials, and finding the gradien📈Direct and Inverse ProportionUnderstand direct and inverse proportion: the constant of proportionality, y = kx and y = k/x, how to spot each type, bu🔍Enlargement and Scale FactorLearn enlargement and scale factor: how to enlarge a shape from a centre, use whole-number, fractional and negative scal⚖️Equations with the Unknown on Both SidesSolve equations with the variable on both sides: collect the unknowns on one side, move the numbers to the other, and ch✖️Expanding Double BracketsExpand double brackets with confidence using FOIL and the grid method: multiply every pair of terms, handle negatives, s🧩Factorising ExpressionsMaster factorising algebraic expressions: find the highest common factor, factor out the HCF, factor expressions with va📊Functions and GraphsUnderstand functions and graphs: function notation f(x), domain and range, plotting linear and quadratic graphs, gradien📦Grouped Data and Class IntervalsOrganise large data sets into class intervals, estimate the mean using midpoints, find the modal and median classes, and📈Introduction to Calculus: Rates of ChangeA teen-friendly first look at calculus: average vs instantaneous rate of change, gradients of chords, limits, and how th📐Introduction to Trigonometry (SOH-CAH-TOA)A clear introduction to trigonometry: sine, cosine and tangent in right-angled triangles, SOH-CAH-TOA, finding sides and➡️Introduction to VectorsLearn vectors for beginners: magnitude and direction, column vectors, adding and subtracting vectors, scalar multiplicat🏦Loans, Savings and Financial MathPractical financial maths for teens: APR, loan repayments, total cost of borrowing, savings growth, and budgeting decisi💰Budgeting and InterestLearn practical money math: build a budget, track income and expenses, understand simple and compound interest, and see 📊Percentage Change ProblemsA teen lesson on percentage change problems: profit and loss, percentage error, comparing two changes and growth over ti🔀Permutations and CombinationsLearn permutations and combinations: the counting principle, factorials, nPr and nCr formulas, and when order matters, w📉Plotting Quadratic Graphs and Their RootsPlot quadratic graphs step by step: build a table of values, draw the smooth parabola, find the roots, the turning point🎲Probability BasicsA clear intro to probability: the 0 to 1 scale, theoretical vs experimental probability, complementary events, and combi📈Quadratic EquationsMaster quadratic equations: standard form, solving by factoring, the quadratic formula, completing the square, and the d🔧Rearranging Formulae (Changing the Subject)Learn to rearrange formulae and change the subject: use inverse operations, deal with squares, roots, fractions and fact🔁Recurring DecimalsA teen lesson on recurring decimals: dot notation, why fractions give repeating decimals, and the algebra method to conv🔄Reverse PercentagesA teen lesson on reverse percentages: find the original amount before a percentage increase or decrease by dividing by t📈Scatter Graphs and CorrelationPlot scatter graphs, describe positive, negative and zero correlation, draw a line of best fit, and use it to make predi🔬Scientific Notation (Standard Form)Learn scientific notation, also called standard form: writing huge and tiny numbers as a × 10ⁿ, converting both ways, an🧮Simultaneous EquationsLearn to solve simultaneous equations by substitution, elimination and graphing. Step-by-step worked examples, a compari🟰Solving Linear EquationsSolve linear equations confidently: balancing both sides, inverse operations, variables on both sides, and equations wit📈Solving Simultaneous Equations GraphicallySolve simultaneous equations by drawing graphs: plot each line, find where they cross, read off the solution, and unders📉Straight-Line Graphs and GradientsMaster straight-line graphs: the equation y = mx + c, finding gradient and y-intercept, plotting lines, parallel and per√Surds and Irrational NumbersLearn surds and irrational numbers: what makes a number irrational, simplifying surds, adding, multiplying and rationali🪂The Gradient of a CurveUnderstand the gradient of a curve: tangents and chords, why gradient changes along a curve, finding tangent and normal 📐The Pythagorean TheoremUnderstand the Pythagorean theorem a^2 + b^2 = c^2: how it works in right triangles, why it is true, finding the hypoten🧮The Quadratic FormulaMaster the quadratic formula x = (−b ± √(b² − 4ac)) / 2a: how to identify a, b, c, use the discriminant, and solve any q📐The 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🌳Tree Diagrams for ProbabilityUse tree diagrams to handle two or more events. Learn to multiply along branches, add the results, and tackle with and w