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Mathématiques · Algèbre
Algebraic Fractions: Simplifying, Adding and Subtracting
Cancelling common factors in algebraic fractions and adding or subtracting them using a common denominator.
9Ae.02
Mathématiques · Algèbre
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
Mathématiques · Géométrie
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
Mathématiques · Géométrie
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
Mathématiques · Algèbre
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
Mathématiques · Algèbre
Expanding Double Brackets
Multiplying two binomials term by term, collecting like terms, and checking the expansion by substitution.
9Ae.028:ALG:02
Mathématiques · Algèbre
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
Mathématiques · Algèbre
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
Mathématiques · Algèbre
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
Mathématiques · Algèbre
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
Mathématiques · Algèbre
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
Mathématiques · Algèbre
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
Mathématiques · Algèbre
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
Mathématiques · Géométrie
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
Mathématiques · Géométrie
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
Mathématiques · Algèbre
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
Mathématiques · Algèbre
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
Mathématiques · Algèbre
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
Mathématiques · Algèbre
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
Mathématiques · Algèbre
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
Mathématiques · Algèbre
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
Mathématiques · Algèbre
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
Mathématiques · Géométrie
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
Mathématiques · Algèbre
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
Mathématiques · Géométrie
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
Mathématiques · Algèbre
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
Sciences · Biologie
A Balanced Diet
Proteins, carbohydrates, fats, water, minerals and vitamins — what each does and what happens without it.
8Bp.016:ch03
Sciences · Chimie
Acids, Alkalis and the pH Scale
Acidity and alkalinity as chemical properties, the pH scale, indicators, and neutralisation.
7Cp.027Cp.037Cc.04
Sciences · Biologie
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
Sciences · Biologie
Blood and Its Components
Plasma, red blood cells, white blood cells and platelets, and what each transports or protects.
8Bs.027:ch09
Sciences · Biologie
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
Sciences · Chimie
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
Sciences · Chimie
Elements, Compounds and Mixtures
Atoms and elements, compounds and mixtures including alloys, represented with the particle model.
7Cm.047Cm.079:U1:02
Sciences · Biologie
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
Sciences · Physique
Forces, Motion and Turning Forces
Balanced and unbalanced forces and their effect on motion, and turning forces (moments).
8Pf.038Pf.04
Sciences · Physique
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
Sciences · Biologie
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
Sciences · Biologie
Joints and Antagonistic Muscles
Ball-and-socket and hinge joints, and how pairs of muscles such as biceps and triceps move bones.
8Bs.01
Sciences · Biologie
Photosynthesis
How plants make food in chloroplasts, and the word equation for photosynthesis.
9Bp.069Bp.07
Sciences · Biologie
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
Sciences · Physique
Pressure in Solids, Liquids and Gases
Pressure as force over area, and particle theory explaining pressure in liquids and gases.
8Pf.058Pf.068:ch06
Sciences · Chimie
Reactivity of Metals
The reactivity series; metals with oxygen, water and dilute acids; displacement reactions.
8Cc.039Cc.0210:U1:03
Sciences · Physique
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
Sciences · Chimie
Separating Mixtures
Filtration, evaporation, crystallisation and paper chromatography — which separation suits which mixture and why.
8Cp.029Cc.036:ch09
Sciences · Physique
Sound Waves
Vibrations, why sound needs a medium, echoes, and waveforms: amplitude and loudness, frequency and pitch.
7Ps.017Ps.029Ps.01
Sciences · Biologie
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
Sciences · Chimie
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
Sciences · Chimie
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
Sciences · Biologie
The Human Respiratory System
Lungs, airways, alveoli, diaphragm and intercostal muscles; breathing versus respiration; gas exchange by diffusion.
8Bs.038Bs.047:ch09
Sciences · Biologie
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
Sciences · Terre et espace
Weather and Climate
The difference between weather and climate, natural climate cycles, and atmospheric change.
8ESc.018ESc.028ESc.03
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