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GCSE Math lessons - links to free online secondary school education resources for teachers |
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| GCSE math lessons |
Large site for full and easy explanations/guides on a large number of algebra topics/concepts.LANGUAGEWelcome to MathematicsLearning Mathematics The Language of Mathematics Symbols in Algebra SETSIntroduction to SetsNUMBERSThe Evolution of NumbersPrime and Composite Numbers Fundamental Theorem of Arithmetic Whole Numbers and Integers Rational Numbers Using Rational Numbers Irrational Numbers 0.999... = 1 Real Numbers Imaginary Numbers Complex Numbers Common Number Sets INEQUALITIESIntroduction to InequalitiesProperties of Inequalities Intervals EXPONENTSExponentsUsing Exponents in Algebra Squares and Square Roots Squares and Square Roots in Algebra nth Root Fractional Exponents Laws of Exponents Exponents of Negative Numbers POLYNOMIALSWhat is a PolynomialAdding And Subtracting Polynomials Multiplying Polynomials Dividing Polynomials Polynomials - Long Division Degree (of an Expression) Special Binomial Products Difference of Two Cubes Factoring in Algebra Solving Polynomials Rational Expressions Using Rational Expressions Fundamental Theorem of Algebra Remainder Theorem and Factor Theorem General Form of a Polynomial Graphing Polynomials How Polynomials Behave Polynomials: The Rule of Signs Polynomials: Bounds on Zeros EQUATIONSEquations and FormulasSolving Equations Simplify Zero Product Property Implication and Iff Theorems, Corollaries, Lemmas GRAPHSCartesian CoordinatesPythagoras' Theorem Distance Between 2 Points Graph of an Equation Finding Intercepts From an Equation Symmetry in Equations LINEAR EQUATIONSEquation of a Straight LineLinear Equations Point-Slope Equation of a Line General Form of Equation of a Line Equation of a Line from 2 Points Midpoint of a Line Parallel and Perpendicular Lines FUNCTIONSWhat is a FunctionDomain, Range and Codomain Evaluating Functions Increasing and Decreasing Functions Maxima and Minima of Functions Even and Odd Functions Set-Builder Notation Common Functions Reference • Square Function • Square Root Function • Cube Function • Reciprocal Function • Absolute Value Function • Floor and Ceiling Function Function Transformations Equation Grapher Operations with Functions Composition of Functions Inverse Functions EQUATIONS OF SECOND DEGREEQuadratic EquationsFactoring Quadratics Completing the Square Derivation of Quadratic Formula Graphing Quadratic Equations Circle Equations SOLVINGMathematical ModelsApproximate Solutions Intermediate Value Theorem Solving Radical Equations Change of Variables Algebra Mistakes SOLVING INEQUALITIESSolving InequalitiesSolving Quadratic Inequalities Solving Rational Inequalities Absolute Value in Algebra EXPONENTS AND LOGARITHMSWorking with Exponents and LogarithmsExponential Function Logarithmic Function Exponential Growth and Decay SYSTEMS OF LINEAR EQUATIONSSystems of Linear EquationsMatrices How to Multiply Matrices Determinant of a Matrix Matrix Calculator PROBABILITYProbabilityThe Basic Counting Principle Combinations and Permutations SEQUENCES, SERIES AND PARTIAL SUMSSequencesSequences - Finding A Rule Sigma Notation Partial Sums Arithmetic Sequences and Sums Geometric Sequences and Sums SUMMARY USESPartial FractionsMathematical Induction Pascal's Triangle Binomial Theorem Very useful for teachers of Math/Mathematics. |
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| GCSE math lessons |
Collection of lessons/tutorial guides/flash clips/math lessons on Plane Geometry (including trigonometry).GENERALPlaneGeometric Symbols Areas Congruent Pythagoras' Theorem Pythagorean Triples Quadrilaterals - Rhombus, Parallelogram, etc Right Angled Triangles Shape Similar Triangles Circle Transversal USING DRAFTING TOOLS - GEOMETRIC CONSTRUCTIONSAnimated demonstrationsLine Bisector Angle Bisector 30 Degree Angle 45 Degree Angle 60 Degree Angle Equilateral Triangle Perpendicular to a Point on a Line Perpendicular to a Point NOT on a Line Parallel Line through a Point Same (Congruent) Angle Cut a line into N segments Center of a Circle Point to Tangents on a Circle Inscribe a Circle in a Triangle Circumscribe a Circle on a Triangle Circle touching 3 Points Pentagon USING DRAFTING TOOLS - USING A PROTRACTORAnimated demonstrationsConstruct an Angle Measuring USING DRAFTING TOOLS - USING A RULER AND DRAFTING TRIANGLEAnimated demonstrationsConstructing Parallel Lines Constructing Perpendicular Lines USING DRAFTING TOOLS - USING A RULER AND COMPASSAnimated demonstrations Constructing A Triangle With 3 Known Sides AREA CALCULATION TOOLOnline/interactive tool to work out area for the following shapes in real time (including formulae).Area of Triangle Area of Rectangle Area of Trapezoid (US) - Trapezium (UK) Area of Ellipse Area of Square Area of Parallelogram Area of Circle Area of Sector TRANSFORMATIONS AND SYMMETRYTransformations Index - rotation, reflection, translationSymmetry Index - Reflection Symmetry, Rotational Symmetry, Point Symmetry Symmetry Artist - online graphics tool to create lines/objects and display real-time reflection/rotations about x-axis, y-axis ANGLESDegrees (Angle)Acute Angles Right Angles Obtuse Angles Straight Angle Reflex Angles Parallel Lines and Pairs of Angles Proof that a Triangle has 180 degrees Congruent Angles Supplementary Angles Complementary Angles Angles Around a Point Angles on a Straight Line Interior Angles Exterior Angles TRIGONOMETRYSine, Cosine and TangentSine Graph Exercise Polar and Cartesian Coordinates Unit Circle Useful for teachers of Math/Mathematics. |
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More Free GCSE math lessons |
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