## Online textbook and linked resources

Search is

**smart**and**instant**. e.g. try typing*dividing mixed numbers*## __

Strand | Topic (click for search box) | Target grades | Other key words |
---|---|---|---|

Number | N1a - Ordering positive and negative integers with GeoGebra applet | 1-3 | Numbers, place value, ascending, descending, whole numbers, compares, comparing, comparisons |

Number | N1b - Ordering decimals | 1-3 | Numbers, place values, ascending, descending, compares, comparing, comparisons |

Number | N1c - Equivalent fractions and simplifying fractions with GeoGebra applet | 1-3 | Improper fractions, Mixed numbers, Converting between, numerators, denominators, vulgar, top-heavy |

Number | N1d - Ordering fractions | 1-3 | Ascending, descending, numerators, denominators, common, compares, comparing, comparisons |

Number | N1e - Ordering integers, decimals and fractions and using inequality symbols | 3-5 | Numbers, place value, ascending, descending, improper fraction, vulgar, mixed number, greater than , less than, or equal to, equals, not equals, compares, comparing, comparisons, whole numbers |

Number | N2a - Adding and subtracting positive integers | 1-3 | additions, adding to, subtractions from, subtracting, take away, totals, sums, differences, wholes numbers, four operations, |

Number | N2b - Multiplying positive integers | 1-3 | Products, multiplications, multiplying by, four operations, whole numbers |

Number | N2c - Dividing with positive integers | 1-3 | Dividing, divisions, sharing, bus stops, chunking, methods, four operations, whole numbers remainders |

Number | Multiplication & Division assorted problems | 1-3 | Multiplication, Multiplying, Division, Dividing, remainders, context, sharing, share, ssdd |

Number | N2d - Applying the four operations to decimals | 1-3 | additions, adding to, subtractions from, subtracting, multiplications, multiplying by, divisions, dividing, wholes, numbers, four operations |

Number | N2e - Applying the four operations to negative numbers | 1-3 | positives, negatives, directed numbers, adding, additions to, subtracting, subtractions from, multiplying by, multiplications, dividing, divisions |

Number | N2f - Applying the four operations to fractions with GeoGebra applet | 3-5 | additions, adding to, subtractions, subtracting from, multiplications, multiplying by, divisions, dividing improper, mixed numbers, vulgar, top-heavy, keep, kiss and flip, reciprocal |

Number | N2g - Reading and interpreting scales with GeoGebra applet | 1-3 | Number lines missing |

Number | N3a - Relationships between operations, including inverse operations | 1-3 | BIDMAS, BODMAS, PEMDAS, PEDMAS, BOMDAS, BIMDAS, Brackets, indexes, indices, order, exponents, powers, parenthesis, parentheses, additions, adding to, subtractions, subtracting from, multiplications, multiplying by, divisions, dividing |

Number | N3b - Order of operations, including brackets, powers, roots and reciprocals | 1-3 | BIDMAS, BODMAS, PEMDAS, PEDMAS, BOMDAS, BIMDAS, Brackets, indexes, indices, order, exponents, powers, parenthesis, parentheses, additions, adding to, subtractions from, subtracting, multiplications, multiplying by, divisions, dividing |

Number | N4a - Factors and highest common factors | 1-3 | HCFs |

Number | N4b - Multiples and lowest common multiples | 1-3 | LCMs |

Number | N4c - Prime numbers and prime factorisation with GeoGebra applet | 3-5 | Primes, Unique, factorizes, factorizations, factorising, factorizing,HCFs, LCMs, highest, lowest, common, multiples, factorises, factors, decompose, decomposition, decomposing, fundamental theorem of arithmetic |

Number | Factors, multiples and primes assorted problems | 3-5 | Factors, multiples, primes, prime numbers, powers, indices, ssdd |

Number | N5a - Systematic listing strategies and the product rule for counting | 5-7 | rules |

Number | N6a - Using powers and roots | 3-5 | Squares roots, Cubes roots, Indices, Indexes of a numbers |

Number | N6b - Estimating powers and roots | 5-7 | Square roots, Cube roots, Indices, Index, powers, estimates of a numbers |

Number | N7a - Calculating with positive and negative integer indices | 3-5 | Squares roots, Cubes roots, Indices, Indexes, powers of a numbers |

Number | N7b - Calculating with fractional indices | 5-7 | Squares roots, Cubes roots, Indices, Indexes, powers, fractions of a numbers |

Number | N8a - Calculating exactly with fractions and with multiples of pi | 3-5 | Pi, exact form, |

Number | N8b - Surds | 5-7 | Roots, rationals numbers, irrationals numbers, rationalising rationalizing denominators |

Number | N9a - Converting between normal numbers and standard form | 3-5 | Standard index form, Scientific notation |

Number | N9b - Multiplying and dividing in standard form | 3-5 | Standard index form, Scientific notation, multiplication by, division |

Number | N9c - Adding and subtracting in standard form | 3-5 | Standard index form, Scientific notation, additions to, subtractions from |

Number | N10a - Converting terminating decimals into fractions and vice versa | 3-5 | terminates, expansions |

Number | N10b - Converting recurring decimals into fractions and vice versa | 5-7 | infinite, expansion, infinity, for ever, forever |

Number | N11a - Identifying and working with fractions in ratio problems | 3-5 | |

Number | N12a - Interpreting fractions and percentages as operators | 3-5 | Finding a fraction of a quantity, numbers amounts |

Number | N13a - Using standards units of measure | 1-3 | grams, metres, litres, km, kg, kilometres, kilograms, years, days, hours, minutes, hrs, mins, seconds, secs |

Number | N14a - Estimating answers and checking calculations | 1-3 | Estimating, approximating, rounding, calculators, calculating, technology, estimates, estimations, figures, significant |

Number | N15a - Rounding numbers and measures to an appropriate degree of accuracy | 1-3 | Decimals places, significant figures, place values |

Number | N15b - Using inequality notation to specify simple error intervals | 3-5 | Truncate, truncation, truncating, rounding, inequalities, errors |

Number | N16a - Applying and interpreting limits of accuracy, including upper and lower bounds | 5-7 | UB, LB |

Algebra | A1a - Using and interpreting algebraic notation | 1-3 | Coefficients, brackets, fractions, division, simplifying |

Algebra | A2a - Substituting numerical values into formulae and expressions | 1-3 | Substitutes, substitution, substituting |

Algebra | A3a - Understanding and using the concepts of expressions, equations, formulas, identities, inequalities, terms and factors | 3-5 | Inequality, formulae, identity, |

Algebra | A4a - Simplifying and manipulating algebraic expressions by collecting like terms (basic) | 1-3 | |

Algebra | A4b - Multiplying a single term over a bracket | 3-5 | Expanding, out, expansions, by |

Algebra | A4c - Factorising (basic) | 3-5 | Taking out common factors, factorise, factorizing, factorize, brackets |

Algebra | A4d - Multiplying two or more brackets | 3-5 | Expanding products of two or more binomials, out, expansions, by, dots, difference of two squares, triple brackets, three brackets, products of, trinomials |

Algebra | A4e - Factorising quadratics | 3-5 | expressions, coefficient, factorise, factorizing, factorize, dots, difference of two squares, brackets |

Algebra | A4f - Simplifying, multiplying and dividing algebraic fractions | 7-9 | Multiplications by, Divisions |

Algebra | A4g - Adding and subtracting algebraic fractions | 7-9 | Additions to, Subtractions from |

Algebra | A4h - Algebraic manipulation involving surds | 7-9 | Powers, indexes, indices |

Algebra | A4i - Index laws and solving equations involving indices | 3-5, 7-9 | Indices, powers, indexes, bases, power, exponents, solving, solutions, equations, rewriting different bases, rebasing, rebase |

Algebra | A5a - Rearranging formulas to change the subject with GeoGebra applet | 3-5, 5-7 | Rearranges, make the subject, rearrangement, formulae, making, changing, of a |

Algebra | Rearranging formulas to change the subject assorted problems | 3-5, 5-7 | Rearranges, make the subject, rearrangement, formulae, making, changing, of a, rearranging, ssdd |

Algebra | A6a - Arguing mathematically | 3-5 | Equivalent, Equivalence, algebraic expressions, Equations, identities, argument, constructing, proofs, constructions, prove that, show, proving with |

Algebra | A6b - Using algebra to construct proofs | 7-9 | Equivalent, Equivalence, algebraic expressions, Equations, identities, argument, constructing, proofs, constructions, show that, prove, proving with |

Algebra | A7a - Interpreting functions and composite functions | 5-7 | Inputs, outputs |

Algebra | A7b - Interpreting inverse functions | 7-9 | |

Algebra | A7c - Solving equations involving functions | 7-9 | inverse, composite, solving, solve, linear, quadratic |

Algebra | A8a - Working with coordinates in all four quadrants | 1-3 | Graphs |

Algebra | A9a - Plotting straight-line graphs with GeoGebra applets | 3-5 | Gradients, y- intercepts, horizontal, vertical, slopes, lines, y=mx+c, y = mx + c, x = k, ax+by=c ax+by=k ax + by = c k - 0 |

Algebra | A9b - Identifying parallel and perpendicular lines with GeoGebra applet | 5-7 | Gradients, intercepts, horizontal, vertical, slope, straight lines graphs, y = mx + c |

Algebra | A9c - Finding the equation of a line through two given points or through one point with a given gradient (e.g. parallel or perpendicular to another line) | 3-5 | Gradients, intercepts, slopes, straight, graphs, lines, parallel, perpendicular to |

Algebra | A10a - Identifying and interpreting gradients and intercepts of linear functions graphically and algebraically | 1-3 | slopes, graphs, straight lines |

Algebra | A11a - Identifying roots, intercepts and turning points of quadratic functions graphically with GeoGebra applet | 3-5 | solutions, parabolas, parabolic, curves, curved, graphs, quadratics, sketching, equations, sketches |

Algebra | A11b - Identifying turning points of quadratic functions by completing the square with GeoGebra applet | 5-7 | Minimum, minima, maximum, maxima, parabolas, parabolic, complete, curves, curved, graphs, quadratics, sketching, equations, sketches |

Algebra | A11c - Sketching quadratics with GeoGebra applet | 5-7 | Minimum, minima, maximum, maxima, parabolas, parabolic, complete, curves, curved, graphs, functions, equations, y=,sketches, turning points, complete completing the square solving, curves, curved, graphs, sketches |

Algebra | A12a - Graphs of linear functions, quadratic functions, simple cubic functions, and the reciprocal function with GeoGebra applet | 3-5 | parabolas, parabolic, asymptotes, curved, curves, straight lines, plotting, quadratics |

Algebra | A12b - Graphs of exponential functions | 5-7 | curved, cures |

Algebra | A12c - Graphs of trigonometric functions | 7-9 | sin, sine, cos, cosine, tan, tangent, wave |

Algebra | A13a - Sketch translations and reflections of a given function | 7-9 | transformations of functions graphs curves lines move slide shift mirroring transforming |

Algebra | A14a - Plotting and interpreting graphs (including reciprocal graphs and exponential graphs) and graphs of non-standard functions | 3-5 | asymptotes, curved, curves |

Algebra | A14b - Plotting and interpreting graphs in real contexts to find approximate solutions to problems such as simple kinematic problems | 3-5 | speeds, distances, times, depth-time graphs containers liquid water jars filling |

Algebra | A15a - Calculating or estimating gradients of graphs | 5-7 | Estimates, chords, tangents, slopes, rates of changes, curves, curved, straight lines |

Algebra | A15b - Estimating the area under a graph | 7-9 | Estimates, trapezium rule, estimations, curved, curves, straight lines, graphs |

Algebra | A15c - Interpreting gradients and areas under graphs | 7-9 | distances, velocity, times, kinematics, slopes, velocities, rates of changes, curved, curves, straight lines, |

Algebra | Kinematics graphs assorted problems | 3-5,5-7 | distances, velocity, times, kinematics, slopes, velocities, rates of changes, curved, curves, straight lines, graphs, ssdd |

Algebra | A16a - Recognising and using the equation of a circle with the centre at the origin | 7-9 | equations of circles, centre radiuses radii |

Algebra | A16b - Finding the equation of a tangent to a circle at a given point | 7-9 | equations of circles, a tangents to, finding the with the centre at the origin |

Algebra | A17a - Solving simple linear equations in one unknown algebraically | 3-5 | balances, balancing, solves, method, algebraic fractions |

Algebra | A17b - Solving linear equations in one unknown algebraically where the unknown is on both sides of the equation | 3-5 | balances, balancing, solves, method, algebraic fractions |

Algebra | A17c - Finding solutions to linear equations using graphs | 3-5 | intersection, solves, straight lines, solving graphically, intersecting, intersects, lines |

Algebra | A18a - Solving quadratic equations by factorising | 3-5, 7-9 | factorises, factorizse, factorizing, parabolas, parabolic, solves, quadratics, algebraic fractions |

Algebra | A18b - Solving quadratic equations by completing the square | 7-9 | completes, parabolas, parabolic, turning points, minimums, maximums, solves, minima, maxima, quadratics, algebraic fractions |

Algebra | A18c - Solving quadratic equations using the quadratic formula | 5-7 | discriminants, parabolas, parabolic, roots, solutions, solves, quadratics, algebraic fractions |

Algebra | Expanding, simplifying, factorising, and solving equations assorted problems | 3-5, 5-7 | Expanding, multiplying out, simplifying, collecting like terms, factorise, factorize, factorizing, solve, both sides, quadratics, ssdd |

Algebra | A19a - Solving two linear simultaneous equations algebraically by elimination | 3-5 | eliminates, elimination, eliminating substitutes, substitution, solves, worded problems, substituting |

Algebra | A19b - Solving two linear simultaneous equations graphically or algebraically by substitution | 3-5 | intersections, intersects, intersecting, solves, straight lines graphs, substituting |

Algebra | A19c - Solving two simultaneous equations (linear/ quadratic) algebraically | 7-9 | substitutes, substitution, solves, substituting, quadratics |

Algebra | A19d - Solving two simultaneous equations (linear/ quadratic) graphically | 7-9 | intersections, intersects, intersecting, parabolas, parabolic, solutions, solves, graphs straight lines curves curved, quadratics |

Algebra | A20a - Finding approximate solutions to equations numerically using iteration | 5-7 | trial, solve, and error, improvement, sign change, solution to an equation by, iterate, iterating, repeating, repeated, converge converging diverge diverging |

Algebra | A21a - Representing simple situations using algebraic expressions or formulae | 3-5 | Writing, write, describes, describing, writes, writing, worded problems |

Algebra | A21b - Deriving and solving an equation or simultaneous equations to describe a situation | 3-5, 5-7 | solves, derives, writing, writes, describes, worded problems, equate, equating |

Algebra | A22a - Solving linear inequalities in one variable | 3-5 | Greater, less, than, equal to, solves, unknowns, inequality |

Algebra | A22b - Solving linear inequalities in two variables | 5-7 | Greater, less, than, equal to, solves, unknowns, graphs, graphically, regions, shaded shades, shading by, inequality |

Algebra | A22c - Solving quadratic inequalities in one variable | 7-9 | Greater, less, than, equal to, solves, inequality, quadratics |

Algebra | A23a - Generating terms of a sequence from either a term-to-term or a position-to-term rule | 1-3 | nth term, number, linear arithmetic progressions, sequences |

Algebra | A24a - Recognising and using triangular, square and cube numbers | 3-5 | sequences, triangle, cubic |

Algebra | A24b - Recognising and using arithmetic, geometric and quadratic sequences | 1-3 | sequences, linear arithmetic progressions, quadratics |

Algebra | A24c - Recognising and using Fibonacci type sequences | 3-5 | sequences, fibonnaci numbers |

Algebra | A25a - Finding the nth term of a linear sequence | 3-5 | expression for, linear arithmetic progressions, sequences |

Algebra | A25b - Finding the nth term of a quadratic sequence | 7-9 | expression for, quadratics, sequences |

Algebra | Sequences assorted problems | 3-5, 5-7 | Arithmetic, linear, geometric, sequences, progression, quadratics, nth term, position to term, term to term -, ssdd |

Ratio and proportion | R1a - Changing between standard units and compound units in numerical and algebraic contexts | 3-5 | times, lengths, areas, volumes, capacity, capacities, masses, speeds, rates of pay, prices, density, densities, pressures, mass/ |

Ratio and proportion | R2a - Using scale diagrams and maps | 3-5 | scales diagrams, maps, scales factors |

Ratio and proportion | R3a - Expressing one quantity as a fraction of another | 3-5 | fractions writing, writes |

Ratio and proportion | R4a - Using ratio notation, and reducing ratios to simplest form | 1-3 | reduction, reduces, simplifying |

Ratio and proportion | R5a - Dividing a quantity in a given ratio, and expressing the division of a quantity as a ratio with GeoGebra applet | 3-5 | divides, shares, sharing, ratios, quantities |

Ratio and proportion | R5b - Applying ratio to real contexts | 3-5 | ratios, mixing, mixes, converting, conversions, paints, dilutes, diluting, mixtures, squash, colours |

Ratio and proportion | R6a - Expressing a multiplicative relationship between two quantities as a ratio or a fraction | 3-5 | fractions |

Ratio and proportion | R7a - Understanding and using proportion as equality of ratios | 3-5 | the unitary method, scale, scaling recipes, up down |

Ratio and proportion | R8a - Relating ratios to fractions and to linear functions | 3-5 | |

Ratio and proportion | Ratio assorted problems | 3-5 | divides, shares, sharing, ratios, given, quantity, quantities, ssdd |

Ratio and proportion | R9a - Converting between fractions, decimals and percentages | 3-5 | FDP |

Ratio and proportion | R9b - Finding percentages and percentage changes (basic) | 3-5 | of a number amount quantity |

Ratio and proportion | R9c - Finding percentages and percentage changes multiplicatively using decimals | 3-5 | of a number amount quantity increase decrease, multipliers |

Ratio and proportion | R9d - Solving problems involving percentage change | 3-5 | reverse, percentages, reversing, undoing |

Ratio and proportion | R9e - Comparing two quantities using percentages | 3-5 | compares, comparisons |

Ratio and proportion | Percentages assorted problems | 3-5 | FDP, of a number amount quantity, increase decrease, multipliers, reverse, percentages, reversing, undoing, compares, comparisons, ssdd |

Ratio and proportion | R10a - Solving problems involving direct proportion with GeoGebra applet | 3-5 | inverse, including graphical and algebraic representations, imperial, metric, converting between to from miles kilometres centimetres cm km yards inches |

Ratio and proportion | R10b - Solving problems involving inverse proportion with GeoGebra applet | 5-7 | direct, graphs, including graphical and algebraic representations |

Ratio and proportion | R11a - Using compound units with GeoGebra applet | 3-5 | speeds, density, densities, pressures, rates of pay, mass / volume, distance time divided by formula triangles |

Ratio and proportion | R12a - Ratios and similar shapes; scale, area and volume factors | 3-5 | similarity |

Ratio and proportion | R13a - Constructing and interpreting equations that describe direct and inverse proportion | 3-5 | directly, inversely, proportions |

Ratio and proportion | R14a - Recognising and interpreting graphs that illustrate direct and inverse proportion | 3-5 | |

Ratio and proportion | R15a - Gradient as a rate of change (straight line and curved graphs) | 7-9 | Lines |

Ratio and proportion | R16a - Growth and decay problems | 5-7 | gradients, compound, interest, exponential, rates, borrowing, simple, depreciates, depreciation, banks, banking, |

Ratio and proportion | Compound and simple interest assorted problems | 5-7 | growth, decay, ssdd, compounding, percentage, roots, powers, indices |

Geometry | G1a - 2D geometry - terms and notation | 1-3 | parallel, perpendiculars, edges, vertex, vertices, angles, straight lines, corners, sides, names of polygons regular n-gons ngons, triangles, quadirlaterals, pentagons, hexagons, heptagons, septagons, octagons, nonagons, decagons, hendecagons, undecagons, dodecagons triskadecagons |

Geometry | G1b - 3D geometry - terms | 3-5 | edges, vertex, vertices, faces, corners, sides, surfaces, nets, polyhedra, polyhedrons, curved shapes, 3-d three dimensions dimensional |

Geometry | G1c - Reflection symmetry | 1-3 | lines ofs mirrors |

Geometry | G1d - Rotation symmetry with GeoGebra applet | 1-3 | order of rotate |

Geometry | G1e - Conventions for labelling the sides and angles of triangles | 3-5 | labels how to name, naming edges, corners, vertices |

Geometry | G1f - Drawing diagrams from a written description | 1-3 | how to parallel, perpendicular, equal, edges, vertices, corners, sides, faces, shapes, polygons, 2D, squares, rhombuses, rhombi, parallelograms, rectangles, trapeziums, trapezia, kites, triangles, equilateral, scalene, symmetries, symmetry, reflection, reflects, reflective, order of, rotations, rotational, |

Geometry | G2a - Constructing perpendicular bisectors, angle bisectors, and perpendiculars to or from a point | 3-5 | constructions, using rulers and straight edges, compasses, without protractors, bisecting |

Geometry | G2b - Constructing triangles | 3-5 | constructions, equilateral, scalene, SSS,SAS,ASA, isosceles, right angled , using rulers and straight edges, compasses, without protractors |

Geometry | G2c - Mixed loci problems | 3-5 | constructions, locus, rulers and straight edges, compasses, without protractors |

Geometry | G3a - Angles at a point, angles at a point on a straight line, vertically opposite angles | 1-3 | rules, 180, 360, º, degrees, around, meeting, points |

Geometry | G3b - Alternate and corresponding angles on parallel lines with GeoGebra applet | 3-5 | F Z degrees, forresponding, zalternate, co-interior, supplementary, complementary, º |

Geometry | G3c - The sum of angles in a triangle and the angle properties of polygons with GeoGebra applet | 3-5 | 180, 360, quadrilateral, interior, exterior, degrees, º |

Geometry | G4a - Properties of special triangles and quadrilaterals | 3-5 | equilateral, isosceles, right angles, squares, rectangles, parallelograms, trapeziums, trapezia, kites, rhombuses rhombi, symmetries, symmetry, reflection, reflects, reflective, order of, rotations, rotational, |

Geometry | G5a - Congruence criteria for triangles (SSS, SAS, ASA, RHS) | 3-5 | Congruent, Side, angle, congruency, similarity |

Geometry | G6a - Simple geometric proofs | 3-5 | Prove that show |

Geometry | G7a - Coordinates with GeoGebra applet | 1-3 | Cartesian, planes, co-ordinates, x, y, axis, axes, along the corridor and up the stairs, is across high |

Geometry | G7b - Rotation with GeoGebra applet | 3-5 | Rotates, transformations, centres of, clockwise, anticlockwise, rotations, rotating, transforming |

Geometry | G7c - Reflection with GeoGebra applet | 3-5 | transformations, mirrors, lines reflects, reflecting, mirroring, transforming |

Geometry | G7d - Translation with GeoGebra applet | 1-3 | Translates, transformations, column vectors, translating, transforming |

Geometry | G7e - Enlargement with GeoGebra applet | 3-5 | transformations, scale factors, negative, fractional, fractions, enlarging, centre of, transforming |

Geometry | G7f - Congruence, similarity and transformations | 3-5 | congruent |

Geometry | G8a - Combinations of transformations | 5-7 | reflections, rotations, rotates, translates, translations, enlargements, scale factors, column vectors, mirrors, centres of, clockwise, anticlockwise, direction, anti-clockwise, reflecting, rotating, translating, enlarging, mirroring, transforming lines of |

Geometry | G9a - Circle parts - definitions and properties | 3-5 | arcs, sectors, segments, chords, tangents, diameters, radius, circles, parts of |

Geometry | G10a - Circle theorems with GeoGebra applets | 7-9 | alternate segments, centres, opposites, semicircles, angles, tangents, radius, chords, diameters, radii, radiuses |

Geometry | G11a - Solve geometrical problems on coordinate axes | 3-5 | Lengths of lines segments, shortest distances from a points to, Pythagoras, perpendiculars, gradients, graphs, y = mx + c, between two, on the planes, cartesian, coordinates, co-ordinates, midpoints, mid-points, halfway, finding, calculating, calculate, work out, working |

Geometry | G12a - Properties of 3D shapes with GeoGebra applets | 3-5 | cubes, cuboids, prisms, cylinders, pyramids, cones, spheres, nets, vertices, faces, edges, corners, surfaces, sides, polyhedrons, polyhedra, curved, triangular, 3-d three dimensions dimensional |

Geometry | G13a - Plans and elevations of 3D shapes | 3-5 | constructions, isometric, 3-d, hexagonal, hexagons, triangles, triangular, dotty, side view, overhead view, birdseye bird's eye top perspectives |

Geometry | G14a - Converting between metric units of measures of length and mass | 1-3 | length, area, volume, capacity, mass, time, money, km, kg, kilometres, kilograms, metres, grams, cm, centimetres, mm, millimetres |

Geometry | G14b - Converting between metric units of measures of area and volume | 5-7 | square mm cm m millimetres, centimetres, metres, squared, cube, cubed, cubic |

Geometry | G14c - Money | 1-3 | £, pounds, penny, pence, currency, currencies, conversion, converting, exchanges rates, euros, cents between different, best buys |

Geometry | G14d - Time with GeoGebra applet | 1-3 | years, months, days, hours, minutes, seconds 24-hours 12-hours military clocks clockfaces - converting telling the between digital analogue watch and, hrs, mins, secs |

Geometry | G15a - Measuring line segments and angles in geometric figures with GeoGebra applet | 1-3 | measure using a protractors rulers length size of lines, acute, right, obtuse, straight, reflex angles |

Geometry | G15b - Scale drawings | 3-5 | maps, diagrams, scales |

Geometry | G15c - Bearings with GeoGebra applet | 3-5 | angles, North South East West North-east, South-west, South-east, North-west NW NE SW SE NNE ENE ESE SSE WSW SSW NNW WNW anticlockwise anti-clockwise from north |

Geometry | G16a - Area of rectangles with GeoGebra applet | 1-3 | squares, quadrialterals |

Geometry | G16b - Area of parallelograms with GeoGebra applet | 1-3 | bases heights quadrilaterals |

Geometry | G16c - Area of triangles with GeoGebra applet | 1-3 | bases heights |

Geometry | G16d - Area of trapezia with GeoGebra applet | 3-5 | trapeziums, quadriaterals |

Geometry | G16e - Volume of cuboids, prisms and cylinders with GeoGebra applet | 1-3 | triangular, volumes |

Geometry | G17a - Perimeter of polygons | 1-3 | perimeters, shapes, 2D |

Geometry | G17b - Circumference of a circle | 1-3 | perimeters, diameters, pi, radius, radii, radiuses, circumferences, circles |

Geometry | G17c - Area of a circle with GeoGebra applet | 1-3 | diameters, pi, radius, radii, radiuses, circles |

Geometry | G17d - Perimeter and area of composite shapes made up of polygons | 3-5 | Perimeters, areas, compound, 2d shapes, edges, sides, many, with |

Geometry | G17e - Perimeter and area of composite shapes made up of polygons and sectors of circles | 3-5 | pi, radius, diameters, radii, radiuses, |

Geometry | G17f - Surface area of cuboids, prisms and pyramids with GeoGebra applet | 3-5 | Cubes, square-based, squares, tetrahedrons, tetrahedra triangle-based, sa |

Geometry | G17g - Volume of spheres, pyramids, and cones | 5-7 | pi, radius, diameters, composite solids, hemispheres, frustums, square based, radii, radiuses |

Geometry | G17h - Surface area of cylinders, spheres, and cones with GeoGebra applet | 5-7 | pi, radius, radii, radiuses, diameters, composite solids, hemispheres, frustums, square based, sa |

Geometry | G18a - Arcs and sectors of circles with GeoGebra applet | 3-5 | pi, radiuses, radii, diameters, lengths, areas, circumferences, finding, calculating, calculate, parts of |

Geometry | G19a - Lengths, areas and volumes in similar shapes | 5-7 | similarity, areas, volumes factors |

Geometry | G20a - Pythagoras' theorem with GeoGebra applets | 5-7 | Right angled triangles, Pythagoras's, Pythagorean, 90º, degrees, triple, a ^2 = b c, hypotenuse 3d, 3-d in dimensions dimensional |

Geometry | Pythagoras and surds assorted problems | 3-5 | Surds, Pythagoras' Theorem, Pythagorean, radicals, roots, surd exact form, ssdd |

Geometry | G20b - Trigonometric ratios - sin, cos and tan with GeoGebra applets | 3-5 | Trigonometry, sine, cosine, tangent, Right angled triangles, degrees, opposite, adjacent, hypotenuse SOHCAHTOA |

Geometry | G20c - Inverse trigonometric functions | 3-5 | Trigonometry, sine, cosine, tangent, Right angled triangles, opposite, adjacent, hypotenuse SOHCAHTOA, inverse sin-1 cos-1 tan-1 sin^-1 cos^-1 tan^-1 arcsin arccos arctan arc |

Geometry | G20d - Trigonometry with right-angled triangles in 3D shapes with GeoGebra applets | 5-7 | Trigonometry, sine, cosine, tangent, Right angled triangles, opposite, adjacent, hypotenuse SOHCAHTOA, inverse sin-1 cos-1 tan-1 sin^-1 cos^-1 tan^-1 arcsin arccos arctan arc, Pythagoras, 3D three dimensional, angles of elevation depression, cube cuboid, prism, triangular, pyramid |

Geometry | Pythagoras, sin, cos, or tan? method selection (right-angled triangles only) | 3-5 | Trigonometry, sine, cosine, tangent, Right angled triangles, opposite, adjacent, hypotenuse SOHCAHTOA, inverse sin-1 cos-1 tan-1 sin^-1 cos^-1 tan^-1 arcsin arccos arctan arc |

Geometry | G21a - Exact values of sin, cos and tan for special angles | 5-7 | 0, 30, 45, 60, 90, Trigonometry, sine, cosine, tangent, Right angled triangles, º, degrees, opposite, adjacent, hypotenuse, SOHCAHTOA |

Geometry | G22a - The sine rule | 7-9 | Trigonometry, sine, cosine, tangent, triangles, opposite, lengths angles any triangles |

Geometry | G22b - The cosine rule | 7-9 | Trigonometry, sine, cosine, tangent, triangles, angle between, opposite, lengths angles any triangles |

Geometry | G23a - Area of a triangle using sine | 7-9 | Trigonometry, sine, cosine, tangent, triangles, opposite, adjacent, hypotenuse, angle between, opposite, any triangles, base, height |

Geometry | G23b - Mixed problems using trigonometric formulas | 7-9 | Trigonometry, sine, cosine, tangent, Right angled triangles, opposite, adjacent, hypotenuse, lengths angles any triangles, SOHCAHTOA |

Geometry | Trigonometry assorted problems | 3-5, 5-7, 7-9 | Trigonometry, sine, cosine, tangent, Right angled triangles, Pythagoras' Pythagorean, Theorem, SOH CAH TOA, SOHCAHTOA, ssdd |

Geometry | G24a - Describing translations as 2D vectors | 3-5 | column |

Geometry | G25a - Adding and subtracting column vectors with GeoGebra applets | 3-5 | Addition to, subtraction from |

Geometry | G25b - Multiplying column vectors by a scalar | 3-5 | scalars, multiplication of, by |

Geometry | G25c - Proofs using vectors | 7-9 | parallel, on a line, show that points straight, direction, magnitude, size, prove |

Probability | P1a - Frequency trees | 1-3 | |

Probability | P2a - Theoretical probability | 1-3 | |

Probability | P2b - Relative frequency | 3-5 | Experimental probability, outcomes, events, probabilities |

Probability | P3a - Expected frequency | 3-5 | Expectation, value, trials, frequencies, probabilities |

Probability | P4a - Properties of probability | 3-5 | Mutually exclusive, exhaustive, outcomes, events, probabilities |

Probability | P5a - Probability and sampling | 3-5 | bias, unbiased, samples size, probabilities, capture-recapture recapturing releasing wild estimate populations size |

Probability | P6a - Enumerating sets and combinations of sets systematically, using tables, grids and Venn diagrams | 3-5 | probabilities, unions, intersections, empty set, null set, universal set, xi, complement, and, or, not |

Probability | P7a - Constructing theoretical possibility spaces for combined experiments with equally likely outcomes and use these to calculate theoretical probabilities | 3-5 | |

Probability | P8a - Tree diagrams | 3-5 | independent dependendent events |

Probability | P9a - Conditional probabilities | 5-7 | |

Statistics | S1a - Sampling | 3-5 | populations, samples |

Statistics | S2a - Frequency tables and two-way tables | 1-3 | Diagrams, frequencies, grouped |

Statistics | S2b - Pictograms | 1-3 | tally, tallies, charts, tables, diagrams |

Statistics | S2c - Bar charts, vertical line charts and basic histograms | 1-3 | bar graphs, discrete, continuous, categorical, diagrams |

Statistics | S2d - Pie charts | 1-3 | Angles, 360, degrees, º, emma, diagrams |

Statistics | S2e - Tables, conversion graphs, line graphs and time series | 3-5 | diagrams, |

Statistics | S3a - Histograms | 7-9 | classes intervals, unequal, widths, diagrams, frequency density, densities, fd |

Statistics | S3b - Cumulative frequency graphs | 5-7 | interquartile range, lower upper quartiles median, Q1, Q2, Q3, LQ, UQ, IQR, diagrams, curves |

Statistics | S4a - Median | 1-3 | averages, classes intervals, estimates, estimation, frequency tables grouped from, finding the median using a, estimating |

Statistics | S4b - Mean with GeoGebra applet | 1-3 | averages, classes intervals, estimates, estimation, frequency tables grouped from, finding the mode using a, estimating, artihmetic |

Statistics | S4c - Mode and modal class | 1-3 | averages, classes intervals, frequency tables grouped from, finding the using a, |

Statistics | S4d - Range | 1-3 | spreads |

Statistics | S4e - Interquartile range and box plots with GeoGebra applet | 5-7 | spread, interquartile range, lower upper quartiles median, Q1, Q2, Q3, LQ, UQ, IQR, boxplots, whisker, diagrams |

Statistics | S4f - Comparing data sets | 3-5 | compares, comparisons, of |

Statistics | S5a - Applying statistics to describe a population | 3-5 | |

Statistics | S6a - Scatter graphs, correlation and causation | 3-5 | lines of best fit, predictions, predicting, interpolating interpolates, interpolations, extrapolating extrapolates, extrapolations |

Ideas | Knowing the whole without knowing the parts | All | theme, information, limited, not all, total, sum, details, big picture |

Manipulative | Algebra discs (with ability to group and turn over groups) | All | Algebra, Number |

Manipulative | Double-sided counters (with ability to group and turn over groups) | All | Algebra, Number |