Free video lessons — SketchCast

Mathematics · Algebra Algebraic Fractions: Simplifying, Adding and Subtracting Cancelling common factors in algebraic fractions and adding or subtracting them using a common denominator. 9Ae.02

Mathematics · Algebra Algebraic Identities: Squares of Binomials and the Difference of Two Squares The identities for (a + b)², (a - b)² and a² - b², where they come from, and how they speed up expansion and factorising. 8:ALG:028:ALG:039:U2:01

Mathematics · Geometry Area of Trapeziums and Compound Shapes The area of a trapezium as half the sum of the parallel sides times the height; splitting a compound shape into rectangles and triangles… 9:U5:01

Mathematics · Geometry Circumference and Area of a Circle Radius, diameter and pi; circumference = pi x d and area = pi x r²; answers in terms of pi and to a given accuracy; semicircles and… 9Gg.01

Mathematics · Algebra Coordinates and Plotting Linear Graphs Coordinates in all four quadrants, making a table of values from a linear equation, and plotting a straight-line graph. 7As.047As.057As.06

Mathematics · Algebra Expanding Double Brackets Multiplying two binomials term by term, collecting like terms, and checking the expansion by substitution. 9Ae.028:ALG:02

Mathematics · Algebra Expanding Single Brackets Multiplying a bracket by a number or a term using the distributive law, and simplifying the result. 7Ae.038Ae.038:ALG:02

Mathematics · Algebra Factorising by Taking Out a Common Factor Reversing expansion by finding the highest common factor of the terms and writing the expression as a product. 8Ae.038:ALG:03

Mathematics · Algebra Forming and Solving Equations from Word Problems Turning a written situation into an equation, choosing what the variable stands for, solving it, and interpreting the answer. 7Ae.068Ae.069Ae.05

Mathematics · Algebra Formulae: Substituting and Changing the Subject Using formulae from science and everyday life, substituting values, and rearranging a formula to make a different variable the subject. 7Ae.058Ae.059Ae.04

Mathematics · Algebra Gradient and Intercept of a Straight Line Reading gradient and y-intercept from a graph and from y = mx + c, and writing the equation of a line from its features. 8As.069As.06

Mathematics · Algebra Laws of Indices with Algebraic Terms Multiplying and dividing powers of the same base, raising a power to a power, and the zero and negative indices with algebraic terms. 9Ae.019Ae.027:ALG:03

Mathematics · Algebra Linear Inequalities and Their Solutions on a Number Line Solving linear inequalities, what happens when multiplying or dividing by a negative, and showing solution sets on a number line. 7Ae.078Ae.079Ae.07

Mathematics · Geometry Perimeter and Area of Rectangles, Triangles and Parallelograms Perimeter as the distance around a shape; area of a rectangle, a triangle (half base times height) and a parallelogram (base times… 9:U5:01

Mathematics · Geometry Pythagoras' Theorem in Right-Angled Triangles In a right-angled triangle the square on the hypotenuse equals the sum of the squares on the other two sides; finding the hypotenuse,… 9Gg.107:GEO:02

Mathematics · Algebra Quadratic Expressions and Factorising Trinomials Recognising quadratic expressions, factorising x² + bx + c by finding two numbers, and using the factors to solve simple quadratic… 9Ae.028:ALG:039:U2:01

Mathematics · Algebra Sequences and the nth Term Term-to-term and position-to-term rules, finding the nth term of an arithmetic sequence, and using it to generate and test terms. 7As.017As.028As.01

Mathematics · Algebra Simplifying Expressions by Collecting Like Terms Adding and subtracting like terms to write an expression in its simplest form, including terms with negative coefficients. 7Ae.027Ae.037:ALG:02

Mathematics · Algebra Simultaneous Linear Equations Solving a pair of linear equations by elimination and by substitution, and reading the solution as the crossing point of two lines. 9Ae.06

Mathematics · Algebra Solving Linear Equations with Brackets and Unknowns on Both Sides Expanding brackets, collecting the unknown on one side, and solving equations that have the variable on both sides. 8Ae.068:ALG:01

Mathematics · Algebra Solving One-Step and Two-Step Linear Equations Keeping an equation balanced, undoing operations in the right order, and checking a solution by substitution. 7Ae.067:ALG:01

Mathematics · Algebra Substitution: Evaluating Algebraic Expressions Replacing variables with numbers, applying the order of operations, and evaluating expressions with negative and fractional values. 7Ae.057As.037:ALG:02

Mathematics · Geometry Surface Area and Volume of Cuboids, Prisms and Cylinders Finding the volume of a cuboid, a triangular prism and a cylinder as cross-section area times length, and their surface area as the sum of… 9Gg.049Gg.059:U5:02

Mathematics · Algebra Terms, Coefficients and Like Terms Breaking an expression into its terms, identifying coefficients and constants, and recognising which terms are like terms. 7Ae.037:ALG:028:ALG:02

Mathematics · Geometry Types of Angles: Angles on a Straight Line and Around a Point Acute, right, obtuse and reflex angles; angles on a straight line add to 180 degrees and angles around a point add to 360 degrees;… 7Gg.127Gg.137:GEO:01

Mathematics · Algebra Variables, Constants and Algebraic Expressions What a variable stands for, how letters and numbers combine into expressions, and how to read and write expressions from words. 7Ae.017Ae.048Ae.01

Science · Biology A Balanced Diet Proteins, carbohydrates, fats, water, minerals and vitamins — what each does and what happens without it. 8Bp.016:ch03

Science · Chemistry Acids, Alkalis and the pH Scale Acidity and alkalinity as chemical properties, the pH scale, indicators, and neutralisation. 7Cp.027Cp.037Cc.04

Science · Biology Aerobic Respiration Energy release in mitochondria, the word equation glucose + oxygen -> carbon dioxide + water, and why respiration is not breathing. 8Bp.048Bp.0510:U2:01

Science · Biology Blood and Its Components Plasma, red blood cells, white blood cells and platelets, and what each transports or protects. 8Bs.027:ch09

Science · Biology Cells The cell as the basic unit of life: structures and their functions, plant and animal cells, specialised cells, and how cells build… 7Bs.017Bs.027Bs.03

Science · Chemistry Classification of Elements and the Periodic Table Why the elements are arranged the way they are: periods and groups, metals and non-metals, how position follows atomic structure, and the… 7Cm.017Cm.027Cm.03

Science · Chemistry Elements, Compounds and Mixtures Atoms and elements, compounds and mixtures including alloys, represented with the particle model. 7Cm.047Cm.079:U1:02

Science · Biology Food Chains, Food Webs, Decomposers and Ecosystem Dynamics Producers, consumers and decomposers; constructing and reading food chains and webs; energy flow in an ecosystem. 7Be.017Be.0210:U5:01

Science · Physics Forces, Motion and Turning Forces Balanced and unbalanced forces and their effect on motion, and turning forces (moments). 8Pf.038Pf.04

Science · Physics Heat Transfer: Conduction, Convection and Radiation Heat versus temperature, and the three ways thermal energy moves from hotter to colder places. 9Pf.029Pf.057:ch07

Science · Biology Inheritance and Variation Chromosomes, genes and DNA; inheritance of sex through XX and XY; variation within a species and its genetic basis. 9Bp.029Bp.0310:U2:04

Science · Biology Joints and Antagonistic Muscles Ball-and-socket and hinge joints, and how pairs of muscles such as biceps and triceps move bones. 8Bs.01

Science · Biology Photosynthesis How plants make food in chloroplasts, and the word equation for photosynthesis. 9Bp.069Bp.07

Science · Biology Plant and Animal Cells Compared Cell membrane, cytoplasm, nucleus, mitochondria, cell wall, chloroplasts and vacuole — what plant and animal cells share and where they… 7Bs.049:U2:01

Science · Physics Pressure in Solids, Liquids and Gases Pressure as force over area, and particle theory explaining pressure in liquids and gases. 8Pf.058Pf.068:ch06

Science · Chemistry Reactivity of Metals The reactivity series; metals with oxygen, water and dilute acids; displacement reactions. 8Cc.039Cc.0210:U1:03

Science · Physics Reflection and Refraction of Light The law of reflection at plane surfaces, refraction at air-glass and air-water boundaries, and dispersion through a prism. 8Ps.018Ps.028Ps.03

Science · Chemistry Separating Mixtures Filtration, evaporation, crystallisation and paper chromatography — which separation suits which mixture and why. 8Cp.029Cc.036:ch09

Science · Physics Sound Waves Vibrations, why sound needs a medium, echoes, and waveforms: amplitude and loudness, frequency and pitch. 7Ps.017Ps.029Ps.01

Science · Biology Specialised Cells and Tissues How red blood cells, neurones, ciliated cells, root hair cells and palisade cells are shaped for their jobs, and how cells build tissues… 7Bs.039:U2:02

Science · Chemistry States of Matter and the Particle Model Solids, liquids and gases in terms of particle arrangement, separation and motion; changes of state; diffusion. 7Cm.068Pf.079:U1:01

Science · Chemistry Structure of the Atom The Rutherford model: nucleus of protons and neutrons, electrons in shells, charges, and how atoms hold together. 8Cm.018Cm.029:U1:04

Science · Biology The Human Respiratory System Lungs, airways, alveoli, diaphragm and intercostal muscles; breathing versus respiration; gas exchange by diffusion. 8Bs.038Bs.047:ch09

Science · Biology Transport in Plants Water and minerals from root hair cells through xylem to the leaves, transpiration, and the minerals plants need. 9Bs.019Bp.057:ch10

Science · Earth & space Weather and Climate The difference between weather and climate, natural climate cycles, and atmospheric change. 8ESc.018ESc.028ESc.03

Free video lessons, explained clearly