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	Third Level Menus

			Angles; Circle Theorem Proofs; Geometrical Construction; Loci; Three-figure Bearings; Scale Drawing Angles in a triangle Angles in polygons Parallel and intersecting lines Three-figure bearings Scale Drawing Constructing a triangle Constructing a 60 degree angle Constructing a perpendicular bisector Constructing an angle bisector Constructing a perpendicular to a point on a line Constructing a perpendicular to a line from a point off the line Revision of construction Locus of a point moving at a fixed distance from a fixed point Locus of a point equidistant from two fixed points Locus of a point equidistant from two lines Examination style locus questions Revision of loci Angles in a semi-circle Angles at centre and circumference; angles in the same arc Alternate segment theorem Opposite angles of a cyclic quadrilateral; exterior and opposite interior angles



			Mensuration; Trigonometry; Pythagoras' Theorem Rectangle area Triangle area Kite area Circle area Circumference Volume of cubes and cuboids Volumes of prisms and pyramids Pythagoras' Theorem in two dimensions Simple trigonometry Trigonometrical calculations Three-dimensional trigonometry and Pythagoras Sine rule Cosine rule



			Properties of Shape; Transformations Making shapes from congruent right-angled triangles Isometric Drawing; Copying drawings of models made from cubes Japanese Boxes; Accurate measurement, drawing & folding to create intricate box Reflective and rotational symmetry Explanation, demonstration and questions involving similarity of shapes. Explanation and demonstration of tessellation of shapes Enlargement of shapes using a centre of enlargement and scale factor; Demonstration Further explanation, demonstration and questions on enlargement from a centre Rotation given angle and centre of rotation; Finding the centre of a rotation Reflection in the x-axis and in y = x Translation and translation vectors Combined transformations and their single transformation equivalent Effects of enlargement on area Effects of enlargement on volume Revision: Effects of enlargement on area and volume



			Collection of like terms; Changing the Subject; Substitution into a Formula; Expansion and Factorisation; Sequences Collection of like terms involving positive term: Explanation, questions and answers Collection of like terms involving subtraction from a positive; Questions and answers Collection of like terms involving subtraction from a negative: Questions and answers Revision: Collection of like terms Explanation and questions involving substitution of integers into simple expressions Further work involving the substitution of integers into more complex expressions Expansion across a single bracket using partition and box diagram Expansion across a single bracket: 5 exercises ranging from all positive to all negative Expansion across two pairs of brackets: Explanation and questions Changing the subject by balancing equations Changing the subject of a formula: Explanation. Changing the subject of a formula; 30 questions involving simple linear equations. Changing the subject of a formula; 70 questions involving brackets and indices HCF leading to factorisation of algebraic expressions with positive terms Extension of above factorisation to include negative numbers and indices Finding the next three terms of a number sequence Finding the position to term rule for a number sequence



			Solving Simple Linear Equations, Inequalities, Simultaneous Equations, Quadratic Equations and Polynomial Equations. Explanation and questions for simple equations of the form 2n = 6 to 12n – 8 = 16 Explanation and questions involving more simple equations of the form 15n – 3 = 27 Explanation and questions for simple equations of the form 45 – 3n = 30 Explanation and questions for simple equations of the form n / 6 = 30 to 5n / 3 = 20 Explanation and questions for simple equations of the form 48 / 3n = 2 Explanation and questions involving equations with the unknown on both sides of the equals sign Explanation and questions involving the solution of equations that contain brackets Inequalities: Explanation and questions. Explanation of methods used and questions related to “simple” simultaneous linear equations Explanation and questions relating to more complex simultaneous linear equations Quadratic Equations and Expressions: Factorisation and solution Quadratic Equations: Special cases leading to difference of two squares Quadratic Equations: Harder examples (Coefficient of x2 not equal to 1.) Solution of Quadratic Equations by formula Polynomial Equation: Use of differences from tables of values to identify polynomials Using Polynomial Equations in Investigations



			Coordinates; Conversion Graphs; Averages Pictograms Bar Charts Chart, with worksheet, showing weight against height Temperature and rainfall graphs, including questions Graph Paper Coordinate Crackers: Coded corny jokes on a coordinate grid. Coordinate patterns: An investigation into coordinates Coordinate practice: Patterns from words Five conversion graphs: in – cm; lbs – kg; F – C; $ – £; euros – £ Questions relating to conversion graphs Pie Charts Stem and Leaf Diagrams Gradient and Intercept of graphs plotted from simple linear equations Mean; Example of the calculation of the mean of a set of numbers Mean, mode and median; Examples of calculation of all three averages Frequency tables; Examples of drawing up and using frequency tables Grouped frequency tables; Examples including modal class and median Grouped frequency tables; Examples leading to the calculation of an estimate of the mean Cumulative Frequency graphs



			Data Collection; Probability Simple probability Probability number line. Listing outcomes Equally likely outcomes Tree diagrams Simple bagatelle explained Biased questions and samples Data collection sheets Questionnaires Sample size Sample type



			Fractions; Decimals; Percentages; Ratio and Proportion; Factors and Multiples; Two-Way Tables; Place Value; Upper and Lower Bounds Two-way tables Place value Equivalent fractions: Explanation and work Fraction of a quantity: Explanation and work Changing fractions to decimals: Explanation and work Percentage of a quantity: Explanation and work Percentage profit and loss: Explanation and work Cost price given percentage change and selling price: Explanation and work Ratios in their lowest terms: Explanation and questions Splitting quantities into given ratios: Explanation and questions Direct and Inverse Proportion: Explanation The Unitary Method in direct and inverse proportion : Explanation and questions Factors and multiples: Prime Factors Upper and lower bounds Recurring decimals and their fractional equivalents



			Addition; Subtraction; Number Bonds; Multiplication; Division; Estimation; Number Sequences; Compound Measures; Word Problems. Simple addition and subtraction of positive and negative numbers Addition and subtraction of positive and negative numbers aided by use of a thermometer Addition and subtraction of positive and negative numbers aided by use of a number line Number bonds to 10 Number bonds to 20 Number bonds to 100 Rounding to 1 significant figure and multiplying mentally Multiplication by partition and grid method Calculations based on multiplication grids More calculations based on multiplication grids Multiplication and division by 10, 100 and 1000 Multiplying decimals Division of one number by another: Explanation and work leading to division by a two-digit number Division by rounding and dividing mentally to provide an estimate of the answer Finding errors in calculations by estimation Finding the next three terms of a number sequence Finding the position to term rule for a number sequence Single-step word problems Multi-step word problems Compound measures: Explanation Compound measures: Questions


	The Master Page leads you to notes and overviews and to all the Subject Area Menus.