Harmonize mathematics schemes of work.docx
| Week | Topic | Content | Duration | Resources |
|---|---|---|---|---|
| 1 | — | 1)NUMBERS AND NUMERALS *Egyptian Numerals,*Roman Numerals | — | — |
| 1 | — | 1)The set of Natural and number bases: A Review of form one | — | — |
| 1 | — | 1) INDICES AND LOGARITHMS: *Laws of indices (to include fractional indices) Solving simple index equations |
— | — |
| 1 | — | 1)NUMBER: *Set of numbers *Ordinary process of Arithmetic,*Estimation and Approximation (Decimal places, Rounding up and rounding down, significant figures, standard forms) |
— | — |
| 1 | — | — | — | — |
| 1 | — | — | — | — |
| 1 | — | — | — | — |
| 1 | — | 1)SURD, INDICES &LOGARITHMS (A brief revision of first cycle work) *Indices: Law of indices & solution of exponential equations |
— | — |
| 1 | — | — | — | — |
| 1 | — | — | — | — |
| 1 | — | ELEMENTARY PROBABILITY: -Introduction -Complementary event |
— | — |
| 1 | — | — | — | — |
| 1 | — | NUMERICAL METHOD Simpsons Rule and its applications Numerical solutions of the first order and second order differential equations by step by step methods |
— | — |
| 2 | — | *Hindu Arabic Numerals | — | — |
| 2 | — | 2)PERCENTAGES: A Review of Form one work | — | — |
| 2 | — | *Laws of logarithms, logarithm as inverse of indices and vice versa, simple logarithmic equations |
— | — |
| 2 | — | *Place Value, *Use and applications of direct numbers, fractions | — | — |
| 2 | — | — | — | — |
| 2 | — | — | — | — |
| 2 | — | — | — | — |
| 2 | — | *Logarithms: Definition, laws of logarithms &Change of base of a logarithmic equations |
— | — |
| 2 | — | — | — | — |
| 2 | — | — | — | — |
| 2 | — | -Conditional probability -Sum and product rules -Mutually exclusive |
— | — |
| 2 | — | — | — | — |
| 2 | — | Use of Taylor series method for series solutions for differential equations | — | — |
| 3 | — | *Place value of digits in Numbers | — | — |
| 3 | — | 3)FRACTIONS AND DECIMALS: Revision of form one work *the Arithmetic of Fractions and Decimals, Rational Numbers |
— | — |
| 3 | — | 2) ALGEBRAIC PROCESSES*Simplifying algebraic expressions (binomials) *Numerical values of algebraic expressions |
— | — |
| 3 | — | *Absolute, relative, percentage round off and truncation errors | — | — |
| 3 | — | — | — | — |
| 3 | — | — | — | — |
| 3 | — | — | — | — |
| 3 | — | 2) INEQUALITIES: Revision of quadratic inequalities. Quotient and modulus inequalities |
— | — |
| 3 | — | — | — | — |
| 3 | — | — | — | — |
| 3 | — | -Independent events -Probability tree diagram |
— | — |
| 3 | — | — | — | — |
| 3 | — | APPLICATION OF SCALAR AND VECTOR PRODUCTS Vector components of a vector in a given direction. Work done by a constant force. |
— | — |
| 4 | — | 2)THE SET OF NATURAL NUMBERS: Correct notation ℕ and not N.*Arithmetic with natural numbers (Order of operations) |
— | — |
| 4 | — | *Simple Approximations. Rounding up and rounding down | — | — |
| 4 | — | *Factorisation, By removal of HCF, grouping ,differences of 2 squares | — | — |
| 4 | — | *Profit and loss *Ratios and proportions | — | — |
| 4 | — | — | — | — |
| 4 | — | — | — | — |
| 4 | — | — | — | — |
| 4 | — | 3)THE QUADRATIC THEORY *The quadratic function: Maximum and minimum value of a quadratic function, line of symmetry of quadratic function, *The quadratic Equation, solving by factorisation and by comp |
— | — |
| 4 | — | — | — | — |
| 4 | — | — | — | — |
| 4 | — | DISCRETE RANDOM VARIABLES: -The probability mass function o fa discrete random variable -The expected value E(X), the mode and the median |
— | — |
| 4 | — | — | — | — |
| 4 | — | Moments of force. Analysis of simple system of forces in three dimensions | — | — |
| 5 | — | * Number Bases *Bases digit *Correct notation 134fiveand not 1345 | — | — |
| 5 | — | Directed numbers: A review of form one work | — | — |
| 5 | — | *Factorisation of quadratic Trinomials | — | — |
| 5 | — | *Simple and compound Interest, Maps and Scale | — | — |
| 5 | — | — | — | — |
| 5 | — | — | — | — |
| 5 | — | — | — | — |
| 5 | — | The Discriminant and Nature of roots of a quadratic equation, Relationship between roots and coefficients of a quadratic equation |
— | — |
| 5 | — | — | — | — |
| 5 | — | — | — | — |
| 5 | — | -The variance, V ar(X) -The cumulative distribution function, F(X) -The uniform distribution |
— | — |
| 5 | — | — | — | — |
| 5 | — | MOTION OF A PARTICLE IN TWO DIMENSIONS Velocity and acceleration components using Cartesian coordinates |
— | — |
| 6 | — | 3)NUMBER PATTERNS *Dot pattern for Triangular, square and Rectangular Numbers *Odd, Even numbers ND Prime numbers |
— | — |
| 6 | — | 4)INTRODUCTION TO LAWS OF INDICES to include negative powers, NUMBER PATTERN: Review of form one work |
— | — |
| 6 | — | *Solution of simple linear equations (a revision) | — | — |
| 6 | — | 2)ALDEBRA AND NETWORKS *Reviewing form three work | — | — |
| 6 | — | — | — | — |
| 6 | — | — | — | — |
| 6 | — | — | — | — |
| 6 | — | 4)POLYNOMIALS: Factor and ‘remainder theorems of polynomials | — | — |
| 6 | — | — | — | — |
| 6 | — | — | — | — |
| 6 | — | -The binomial distribution -The geometric distribution -The mean of the sum of difference of two discrete random variable |
— | — |
| 6 | — | — | — | — |
| 6 | — | Velocity and acceleration components using polar coordinates | — | — |
| 7 | — | *Introduction to Rational Numbers, .The notation of and examples. 4) FACTORS: *Factors of Numbers *Prime Factorisation. |
— | — |
| 7 | — | Square root and cube roots. Limit only to perfect square and perfect cube |
— | — |
| 7 | — | Simple quadratic equations | — | — |
| 7 | — | *Expansion and factorisation of algebraic expressions(by removal of HCF and by grouping) *Factorisation of quadratic expressions |
— | — |
| 7 | — | — | — | — |
| 7 | — | — | — | — |
| 7 | — | — | — | — |
| 7 | — | 5) PARTIAL FRACTIONS: The concept of partial fraction.* Linear fraction, *Repeated factors and *Quadratic factor at the denominators. |
— | — |
| 7 | — | — | — | — |
| 7 | — | — | — | — |
| 7 | — | -The variance of the sum of difference of two discrete random variables -The Poisson distribution |
— | — |
| 7 | — | — | — | — |
| 7 | — | OBLIQUE IMPACT OF ELASTIC BODIES Impact between two smooth spheres |
— | — |
| 8 | — | *The Notion of Indices and simple basis integral laws intuitively derived. *HCF and LCM. |
— | — |
| 8 | — | 5)BASICAL ALGEBRA: define Algebra, concept of a variable coefficients, like and unlike terms (limit to quadratic expressions) |
— | — |
| 8 | — | 3) Simultaneous Equations: Substitution and Elimination | — | — |
| 8 | — | *Formulae: Numerical value of formulae, *Changing the subject of a formula. Linear equations ( a revision) |
— | — |
| 8 | — | — | — | — |
| 8 | — | — | — | — |
| 8 | — | — | — | — |
| 8 | — | More on partial Fraction | — | — |
| 8 | — | — | — | — |
| 8 | — | — | — | — |
| 8 | — | -Use of the Poisson distribution as an approximation to the binomial distribution -Relationship between probability distribution and frequency distribution |
— | — |
| 8 | — | — | — | — |
| 8 | — | Impact between a smooth sphere and a fixed plane | — | — |
| 9 | — | *Square roots and cube roots using prime Factorisation | — | — |
| 9 | — | Define expressions identities and equations, simplifying expressions | — | — |
| 9 | — | Solving simultaneous Equations by graphical method | — | — |
| 9 | — | *Linear simultaneous and quadratic Equations | — | — |
| 9 | — | — | — | — |
| 9 | — | — | — | — |
| 9 | — | — | — | — |
| 9 | — | 6)PERMUTATION AND COMBINATIONS The concept of permutation review and further elaborated. Conditional permutation |
— | — |
| 9 | — | — | — | — |
| 9 | — | — | — | — |
| 9 | — | CONTINUOUS PROBABILITY DISTRIBUTIONS: -The probability density function f(x) -Use of the (cumulative) distribution function |
— | — |
| 9 | — | — | — | — |
| 9 | — | MODELLING WITH DIFFRENTIAL EQUATIONS Further setting up and solutions of differential equations from simple situations |
— | — |
| 10 | — | *Test for divisibility | — | — |
| 10 | — | LCM and HCF of Algebraic expressions | — | — |
| 10 | — | *Worded problem leading to linear simultaneous Equations | — | — |
| 10 | — | Solving quadratic equations by factorisation and completing the square | — | — |
| 10 | — | — | — | — |
| 10 | — | — | — | — |
| 10 | — | — | — | — |
| 10 | — | Combination: The concept of combination, combination from different groups, combination followed by permutation, mutually exclusive events |
— | — |
| 10 | — | — | — | — |
| 10 | — | — | — | — |
| 10 | — | -Determination of the mean, median, mode or quartiles of a specified continuous function |
— | — |
| 10 | — | — | — | — |
| 10 | — | Resisted motion of a particle moving in a straight line | — | — |
| 11 | — | 5) THE SET OF INTERGERS: Definition, Notation and examples. *The number line. *Operation using the number line. |
— | — |
| 11 | — | Factorisation by removal of HCF | — | — |
| 11 | — | 4) TRANSPOSITION OF FORMULAE: Changing the subject of a formula; linear forms, brackets, formula involving powers and roots, quotients |
— | — |
| 11 | — | 3) POLYNOMIAL: Factor and remainder theorem of polynomials | — | — |
| 11 | — | — | — | — |
| 11 | — | — | — | — |
| 11 | — | — | — | — |
| 11 | — | 7)SEQUENCE AND SERIES: The Arithmetic and Geometric progression The Arithmetic progression: *the general, last or nth tern, *The Arithmetic mean, *Sum of the first n terms of an A.P |
— | — |
| 11 | — | — | — | — |
| 11 | — | — | — | — |
| 11 | — | -Variance of a continuous function -The exponential distribution |
— | — |
| 11 | — | — | — | — |
| 11 | — | SIMPLE AND DAMPED HARMONIC MOTION Simple harmonic motion |
— | — |
| 12 | — | *Arithmetic with Integers | — | — |
| 12 | — | Expansion(removal of brackets and expansion of simple binomials) | — | — |
| 12 | — | 5) VARIATIONS: * Direct proportions (variation) | — | — |
| 12 | — | Polynomials continue, sum and difference of two cubes | — | — |
| 12 | — | — | — | — |
| 12 | — | — | — | — |
| 12 | — | — | — | — |
| 12 | — | The GP: The n term, the geometric mean, *sum of the first n term of a GP. *Convergence and sum to infinity, * The sigma notation |
— | — |
| 12 | — | — | — | — |
| 12 | — | — | — | — |
| 12 | — | The normal distribution (use of tables to find probabilities) -Continuity correction |
— | — |
| 12 | — | — | — | — |
| 12 | — | Damped harmonic motion | — | — |
| 13 | — | 6)FRACTIONS: *Types of Fraction *Equivalent fractions, | — | — |
| 13 | — | Formulae: Definition, numerical value of algebraic expressions, changing the subject of a formula |
— | — |
| 13 | — | *Indirect or inverse variation,*Graphs and variations | — | — |
| 13 | — | *Linear and quadratic inequalities | — | — |
| 13 | — | — | — | — |
| 13 | — | — | — | — |
| 13 | — | — | — | — |
| 13 | — | 8) THE BINOMIAL THEOREM: The Pascal’s triangle. Binomial expansion of the form (a+b)n where n is integral or rational |
— | — |
| 13 | — | — | — | — |
| 13 | — | — | — | — |
| 13 | — | -Use of the normal distribution as an approximation to the binomial -Application of continuity correction |
— | — |
| 13 | — | — | — | — |
| 13 | — | PROBABNILITY DISTRIBUTION Discrete random variables. Expectation and variance of discrete random variables |
— | — |
| 14 | — | *Comparing and Ordering fractions, *Operation using fractions | — | — |
| 14 | — | Simple inequalities: Intervals and number line presentations | — | — |
| 14 | — | Variation as a sum of parts and joint variation | — | — |
| 14 | — | *Intervals and the number line, Graphical linear and simultaneous inequalities, absolute value inequalities |
— | — |
| 14 | — | — | — | — |
| 14 | — | — | — | — |
| 14 | — | — | — | — |
| 14 | — | The validity of a binomial expansion. Applications of the binomial theorem for approximation |
— | — |
| 14 | — | — | — | — |
| 14 | — | — | — | — |
| 14 | — | -Use of the normal distribution as an approximation to the Poisson, with application of continuity correction |
— | — |
| 14 | — | — | — | — |
| 14 | — | The discrete uniform, binomial geometric distribution | — | — |
| 15 | — | 7) DECIMALS *Conversion to fractions and vice versa *Recurring and non-recurring decimals |
— | — |
| 15 | — | Solving simple inequalities | — | — |
| 15 | — | 6) SET THEORY and LOGIC: Review form two work, complements and relative complements of sets |
— | — |
| 15 | — | *Indices (a revision)*LCM &HCF of Numbers *LCM &HCF if Algebraic expressions. A brief review of logarithms |
— | — |
| 15 | — | — | — | — |
| 15 | — | — | — | — |
| 15 | — | — | — | — |
| 15 | — | 9) SUMMATION OF FINITE SERIES. By standard result, By method of differences |
— | — |
| 15 | — | — | — | — |
| 15 | — | — | — | — |
| 15 | — | SAMPLE AND POPULATONS: -Graphical representations of sample data |
— | — |
| 15 | — | — | — | — |
| 15 | — | The Poisson distribution | — | — |
| 16 | — | *Place values in decimals. *Arithmetic with decimals | — | — |
| 16 | — | 6)PROFIT AND LOSS:*Cost price, Profit or gain, gain percent *Loss and loss percent |
— | — |
| 16 | — | Power sets and cardinality of intersection of sets,*Set language to ordinary language and vice versa |
— | — |
| 16 | — | *Variations ( a revision) | — | — |
| 16 | — | — | — | — |
| 16 | — | — | — | — |
| 16 | — | — | — | — |
| 16 | — | — | — | — |
| 16 | — | 10) LOGIC AND MATHEMATICAL PROOFS. The basic notion of logic revised and further developed |
— | — |
| 16 | — | — | — | — |
| 16 | — | — | — | — |
| 16 | — | -Frequency and cumulative frequency polygons for ungrouped and grouped sample data -The mean as a measure of location |
— | — |
| 16 | — | — | — | — |
| 16 | — | The continuous random variables. Probability density function and the cumulative distribution fiction |
— | — |
| 17 | — | *Standard Form. Expression in standard form and from standard forms *Temperature Types of Temperature measurements |
— | — |
| 17 | — | Simple interest, compound interest, currency and exchange rate | — | — |
| 17 | — | The Venn diagram and three intersecting sets | — | — |
| 17 | — | 4) SEQUENCES AND SERIES. The Arithmetic progression (AP) | — | — |
| 17 | — | — | — | — |
| 17 | — | — | — | — |
| 17 | — | — | — | — |
| 17 | — | — | — | — |
| 17 | — | Mathematical proofs: The notion of proof in science & types of proofs, proofs by counter examples, proofs by Induction |
— | — |
| 17 | — | — | — | — |
| 17 | — | — | — | — |
| 17 | — | -The median and mode as measure of location -Weighted means |
— | — |
| 17 | — | — | — | — |
| 17 | — | The expectation, variance and mode of a continuous random variable | — | — |
| 18 | — | 8) ARITHMETIC PROCESSES *Ratios *Proportions | — | — |
| 18 | — | 7)RATIO AND PROPOTIONS: Dividing in given ratio | — | — |
| 18 | — | Elementary logic: Definition of logic, terminologies in logic, statement, truth value, qualifiers, negation and truth table |
— | — |
| 18 | — | *The Geometric progression (GP) | — | — |
| 18 | — | — | — | — |
| 18 | — | — | — | — |
| 18 | — | — | — | — |
| 18 | — | Proofs by induction continues, proof by contradiction | — | — |
| 18 | — | — | — | — |
| 18 | — | — | — | — |
| 18 | — | -Variance and standard deviation as measure of dispenseion -Range and interquartile range -Combined mean and combined variance for two or more samples |
— | — |
| 18 | — | The normal distribution | — | — |
| 19 | — | *Percentage fractions to percentage and vice versa, percentage to decimals and vice versa, percentage changes. |
— | — |
| 19 | — | *Proportions: The notion of direct and inverse proportion | — | — |
| 19 | — | Compound statements: Introduction, conjunction, disjunction, logically equivalent |
— | — |
| 19 | — | *The GP continues | — | — |
| 19 | — | — | — | — |
| 19 | — | — | — | — |
| 19 | — | — | — | — |
| 19 | — | 11) COORDINATE GEOMETRY: Revision of straight line geometry. Distance between two points, gradients of a line segment, equation of a straight line, division of line segment into a given ratio. Interna | — | — |
| 19 | — | — | — | — |
| 19 | — | — | — | — |
| 19 | — | SAMPLING WITH OR WITHOUT REPLACEMENT FROM A FINITE POPULATION -Sampling distribution of statistics |
— | — |
| 19 | — | Use of the normal distribution as an approximation to the binomial and Poisson distributions |
— | — |
| 20 | — | 9) ELEMENTARY GEOMETRY: *Points and line in a plane. *Collinear points * Points in the same plane (coplanar points) |
— | — |
| 20 | — | Variations: Direct and inverse variations | — | — |
| 20 | — | De Morgan`s law, Conditionals and bi-conditionals | — | — |
| 20 | — | 5) COORDINATE GEOMETRY. *Cartesian coordinate as ordered pairs. *The straight line, *Midpoint, Gradients, *Length of a line segment |
— | — |
| 20 | — | — | — | — |
| 20 | — | — | — | — |
| 20 | — | — | — | — |
| 20 | — | LUCOS: The circle: Standard equation of a circle, Circle terminologies, Orthogonal circles, Touching circles (internal and external touching) |
— | — |
| 20 | — | — | — | — |
| 20 | — | — | — | — |
| 20 | — | -Use of random numbers and sampling of attributes | — | — |
| 20 | — | ROTARIONAL DYNAMICS Moments of inertia |
— | — |
| 21 | — | *Midpoint of a line segment *Bisector of a line segment *Parallel and perpendicular lines (orthogonal lines) |
— | — |
| 21 | — | SET THEORY: Types of sets, subsets, power set | — | — |
| 21 | — | 7) RELATION: Cartesian product, relation in a set, Ordered Pairs,*Domain, Co domain, Image, Range *Types of relations |
— | — |
| 21 | — | Equations of a straight line (various forms) | — | — |
| 21 | — | — | — | — |
| 21 | — | — | — | — |
| 21 | — | Intersecting circles, circles through the point of intersecting of two circles. *Parametric equation of a curve |
— | — |
| 21 | — | — | — | — |
| 21 | — | — | — | — |
| 21 | — | SAMPLING FROM AN INFINITE POPULATION: -The distribution of sample means from an infinite population |
— | — |
| 21 | — | Moments of inertia continues | — | — |
| 22 | — | *Angles *Special angles (acute, right, obtuse, straight and reflex angles. Naming angles. |
— | — |
| 22 | — | Venn Diagram, cardinal number of sets and power set | — | — |
| 22 | — | *Properties of relation( reflexivity, Symmetric, antisymmetric transitivity), *Equivalence relation |
— | — |
| 22 | — | Quadratic Graphs and related activities | — | — |
| 22 | — | — | — | — |
| 22 | — | 12) THE CONCEPT OF A LINEAR RELATION. Reduction of a relationship to linear form and resulting graphs. |
— | — |
| 22 | — | — | — | — |
| 22 | — | -The central limit theorem for large samples -Determination of confidence limits for the mean |
— | — |
| 22 | — | Radii of gyration, including use of the parallel axes theorems | — | — |
| 23 | — | *Angles on a line *Angles at a point *Transversal and terminologies (vertically opposite, adjacent angles) simple notions of these |
— | — |
| 23 | — | 9)COORDINATE GEOMETRY: Plotting of points in the Cartesian plane, Distance between two points, midpoints |
— | — |
| 23 | — | 8)FUNCTIONS AND MAPPING: *Domain and Co domain of functions, *Defining a mapping, Types of mapping |
— | — |
| 23 | — | Quadratic Graphs continue | — | — |
| 23 | — | — | — | — |
| 23 | — | Reduction of a relationship to linear form continues | — | — |
| 23 | — | — | — | — |
| 23 | — | Motion of a rigid body under the action of a torque Moment of momentum about a fixed axis |
— | — |
| 24 | — | *Measuring angles and accepted conventions. * Bisector of an angle | — | — |
| 24 | — | Gradients of straight line | — | — |
| 24 | — | *Range of a function,*Numerical value of a function, *Composite function, *Inverse function |
— | — |
| 24 | — | 7) TRIGONOMETRY: *The right angle triangle and Pythagoram1s Theorem reviewed. *Trigonometric Ratio and their reciprocals. |
— | — |
| 24 | — | — | — | — |
| 24 | — | 13) COMPLEX NUMBERS: The notion of imaginary number as the largest det of numbers, Geometrical representation of a complex number. Realising the denominator of a complex number |
— | — |
| 24 | — | — | — | — |
| 24 | — | Kinetic energy of rigid body rotating about a fixed smooth axis Compound pendulum |
— | — |
| 25 | — | *Triangles Types of triangle, drawing and naming triangles. Angle properties of a triangle |
— | — |
| 25 | — | 10) ELEMETATY GEOMETRY: Angles at a point and on a line | — | — |
| 25 | — | 11) TRIGONOMETRY. Reviewing Pythagoras’s Theorem, *Angles (types)*Simple trigonometric ratios (Sine, Cosine and Tangent) |
— | — |
| 25 | — | Special angles and respective trigonometric ratios. Simple graphs of trigonometric functions. Simple trigonometric equations |
— | — |
| 25 | — | — | — | — |
| 25 | — | — | — | — |
| 25 | — | REVISION AND MOCK EXAMINATION |
— | — |
| 26 | — | *Quadrilaterals *Types od and angles properties of quadrilaterals | — | — |
| 26 | — | The transversal triangle and angle properties | — | — |
| 26 | — | *Simple Trigonometric ratios (Sine, Cosine and Tangent) *The scientific calculator, *Complementary angles |
— | — |
| 26 | — | Solution of triangles *Angles of elevation, angles of depression | — | — |
| 26 | — | — | — | — |
| 26 | — | REVISION AND MOCK EXAMINATION |
— | — |
| 27 | — | *Areas and perimeters of quadrilaterals | — | — |
| 27 | — | Pythagoras’ theorem, polygons: Types of polygons, sum of angle | — | — |
| 27 | — | 10)VECTORS: Definition, position vector, types of vector | — | — |
| 27 | — | *Bearing in two dimensions | — | — |
| 27 | — | — | — | — |
| 27 | — | REVISION AND MOCK EXAMINATION |
— | — |
| 28 | — | *Areas and perimeters of quadrilaterals continue | — | — |
| 28 | — | Polygon continue,[construction of polygon | — | — |
| 28 | — | *Simple Vector Geometry.*Magnitude and direction of vector | — | — |
| 28 | — | 8) VECTORS: Notions, Vector Geometry. The midpoint theorem | — | — |
| 28 | — | — | — | — |
| 28 | — | REVISION AND MOCK EXAMINATION |
— | — |
| 29 | — | *Circles and circles terminology | — | — |
| 29 | — | THE CIRCLE: Area, circumference, Arc length, sector and segment | — | — |
| 29 | — | 9) MATRICES: *Definition of a Metrix, *Order of a matrix, *Equality of matrices, *Types of Matrices |
— | — |
| 29 | — | *Position Vectors in I, notation and in column forms. Operation on vectors. *Parallel and perpendicular vectors |
— | — |
| 29 | — | — | — | — |
| 29 | — | REVISION AND MOCK EXAMINATION |
— | — |
| 30 | — | *Chord *Secant, Tangent and Arc | — | — |
| 30 | — | Symmetry: Point symmetry, line symmetry | — | — |
| 30 | — | Transpose, Determinant inverse of a matrix,*Singular Matrices | — | — |
| 30 | — | 9) METRICES AND TRANSFORMATION: Revision of form three matrices | — | — |
| 30 | — | — | — | — |
| 30 | — | REVISION AND MOCK EXAMINATION |
— | — |
| 31 | — | 10) SOLID FIGURES Cuboid and Cubes. Nets of solid figures | — | — |
| 31 | — | 11) SCALES AND SIMILARITY | — | — |
| 31 | — | *Solving simultaneous equation by Matrix method | — | — |
| 31 | — | Transformation; by matrices and by construction. Isometrics: Translation, reflection and rotation |
— | — |
| 31 | — | — | — | — |
| 31 | — | REVISION AND MOCK EXAMINATION |
— | — |
| 32 | — | Volume and surface area of cubes | — | — |
| 32 | — | Scales and similarity continue | — | — |
| 32 | — | 12) GEOMETRY: *Revision of form two work | — | — |
| 32 | — | Enlargement, shares and stretches. Invariant point and lines. Combination of transformations. |
— | — |
| 32 | — | — | — | — |
| 32 | — | REVISION AND MOCK EXAMINATION |
— | — |
| 33 | — | Volume and surface area of cubes continue | — | — |
| 33 | — | 12) ELEMENTARY STATISTICS Collection of data and presentation of data |
— | — |
| 33 | — | *Similarity and congruency | — | — |
| 33 | — | More of transformation, description of transformation | — | — |
| 33 | — | — | — | — |
| 33 | — | REVISION AND MOCK EXAMINATION |
— | — |
| 34 | — | b) Right circular cylinders and cones (properties and terminologies) | — | — |
| 34 | — | Bar chart, pie chart | — | — |
| 34 | — | 13) MENSURATIOM: Review plane figure, area and perimeters | — | — |
| 34 | — | — | — | — |
| 34 | — | — | — | — |
| 34 | — | REVISION AND MOCK EXAMINATION |
— | — |
| 35 | — | Volume and surface area of a right circular cone | — | — |
| 35 | — | Mode median and mean | — | — |
| 35 | — | Surface area and volume of *A sphere | — | — |
| 35 | — | — | — | — |
| 35 | — | — | — | — |
| 35 | — | REVISION AND MOCK EXAMINATION |
— | — |
| 36 | — | Volume and surface area of a right circular cone | — | — |
| 36 | — | The notion of probability and the probability of an event. | — | — |
| 36 | — | *Cones, Prism and Pyramids | — | — |
| 36 | — | — | — | — |
| 36 | — | — | — | — |
| 36 | — | REVISION AND MOCK EXAMINATION |
— | — |
| 37 | — | GENERAL REVISION | — | — |
| - | 18 | STATISTICS AND PROBABILITY A) Statistics |
Data collection and display; measures of central tendency; cumulative frequency table; cumulative frequency curve | — |
| - | 19 | — | Measures of dispersion: range; interquartile range; semi interquartile range; semi interquartile range; mean deviation, variance standard deviation | — |
| - | 20 | B) Probability | The ides of probability Probability of an event Laws of probability | — |
| - | 21 | — | Compound event; mutually exclusive events; independent events Conditional probability; use of tree diagrams | — |
| - | 22 | Fourth sequence | Evaluation and correction | — |
| - | 23 to 36 |
General revision Preparation for mock Mock Examination General Revision |
General revision Preparation for mock Mock Examination General Revision | — |
| - | — | — | — | — |
| - | — | — | — | — |
| - | H I R D | 21 | Simple transformations 8)PROBABILITY: Conditional probability | — |
| - | H I R D | 22 | 9)ELEMENTARY DISTRIBUTION: Discrete random variation, binomial distribution | — |
| - | H I R D | 23 | REVISION | — |
| - | H I R D | 24 TO 36 |
MOCK AND GENERAL REVISION | — |
| - | — | 25 | Polynomial equations with complex roots. Modulus and arguments of a complex number. Complex numbers in trigonometric, polar o in modulus- argument forms. | — |
| - | — | 26 | DE MOIVRE’S Theorem and the nth root of a complex number | — |
| - | — | 27 | 14)NUMERICAL METHOD FOR SOLVING EQUATIONS : Newton-Raphson’s method | — |
| - | T H I R D | 28 | Linear interpolation, trapezium rule | — |
| - | T H I R D | 29 | 15)MATRICES AND DETERMINANTS: Revision of matrices , addition, subtraction and multiplication of matrices | — |
| - | T H I R D | 30 | Transpose of matrices and their properties of transposes | — |
| - | T H I R D | 31 | Determinants of 2X2 and 3X3 matrices. Application of determinants e.g. Cramer’s rule for simultaneous equation, The Gaussian elimination method | — |
| - | T H I R D | 32 | Inverse of a 3X3 matrices. Solution of simultaneous equation by matrices method( limited to unknowns), The Gaussian elimination method | — |
| - | T H I R D | 33 | Transformation using matrices | — |
| - | T H I R D | 34 | Transformation continues, combined transformation | — |
| - | T H I R D | 35 | Invariant Points and lines | — |
| - | T H I R D | 36 | REVISION | — |
| - | — | 22 | iii)INTERGRATION:*As the reverse of differentiation, *Indefinite and definite integrals | — |
| - | — | 23 | Integration, *by recognition, *by substitution, *by partial fractions, *by parts | — |
| - | — | 24 | Integration of trigonometric function: Powers of sine, cosine, tangents, and multiple angle integration | — |
| - | — | 25 | Application of integration: *Areas | — |
| - | — | 26 | *Volumes of revolution | — |
| - | — | 27 | Centroids and centre of mass, *The trapezium rule | — |
| - | T H I R D | 28 | 6)DIFFERENCIAL EQUATIONS: Limited to first order first degree variable separable | — |
| - | T H I R D | 29 | 11) VECTORS: Revision of vectors in two dimension, The orthogonal vectors I, j, k and the Cartesian components of vector. Equation of straight line in the form r=a + b | — |
| - | T H I R D | 30 | Equation of straight line in Cartesian and parametric forms. *Direction ratio and direction cosine of a line | — |
| - | T H I R D | 31 | Parallel, intersecting and skew lines, scalar products of two vectors, Angle between two lines | — |
| - | T H I R D | 32 | Equation of a plane in vector, Cartesian and parametric forms | — |
| - | T H I R D | 33 | Equation of a plane continues | — |
| - | T H I R D | 34 | Angles between a line and plane, angles between two planes | — |
| - | T H I R D | 35 | Intersection of line and a plane | — |
| - | T H I R D | 36 | REVISION | — |
| - | — | 26 | *Hooke’s law and Elastic potential Energy | — |
| - | — | 27 | *Power: The use of P=FV | — |
| - | T H I R D | 28 | General Revision of Pure and Applied Mathematics | — |
| - | T H I R D | 29 | General Revision of Pure and Applied Mathematics | — |
| - | T H I R D | 30 | General Revision of Pure and Applied Mathematics | — |
| - | T H I R D | 31 | General Revision of Pure and Applied Mathematics | — |
| - | T H I R D | 32 | General Revision of Pure and Applied Mathematics | — |
| - | T H I R D | 33 | General Revision of Pure and Applied Mathematics | — |
| - | T H I R D | 34 | General Revision of Pure and Applied Mathematics | — |
| - | T H I R D | 35 | General Revision of Pure and Applied Mathematics | — |
| - | T H I R D | 36 | General Revision of Pure and Applied Mathematics | — |
| - | — | 23 | HYPOTHESIS TESTING (FOR LARGE SAMPLES ONLY): -The roles of the null and alternative hypotheses | — |
| - | — | 24 | -Significance testing of a hypothetical value for probability and for the means | — |
| - | — | 25 | REVISION | — |
| - | — | 26 | GENERAL REVISION G.C.E MOCK EXAMINATION | — |
| - | — | 27 | GENERAL REVISION G.C.E MOCK EXAMINATION | — |
| - | T H I R D | 28 | GENERAL REVISION G.C.E MOCK EXAMINATION | — |
| - | T H I R D | 29 | GENERAL REVISION G.C.E MOCK EXAMINATION | — |
| - | T H I R D | 30 | GENERAL REVISION G.C.E MOCK EXAMINATION | — |
| - | T H I R D | 31 | GENERAL REVISION G.C.E MOCK EXAMINATION | — |
| - | T H I R D | 32 | GENERAL REVISION G.C.E MOCK EXAMINATION | — |
| - | T H I R D | 33 | GENERAL REVISION G.C.E MOCK EXAMINATION | — |
| - | T H I R D | 34 | GENERAL REVISION G.C.E MOCK EXAMINATION | — |
| - | T H I R D | 35 | GENERAL REVISION G.C.E MOCK EXAMINATION | — |
| - | T H I R D | 36 | GENERAL REVISION G.C.E MOCK EXAMINATION | — |
| - | N D | 18 | Interpretation of the sign of f(x, y) in the x-y plane. Concavity at a point and points inflexion | — |
| - | N D | 19 | 11)DIFFERNTIAL EQUATIONS First order differential equations: Origins and geometric interpretations, variable separable First order linear non-homogeneous differential equations of the form 𝑑𝑦 + 𝑃𝑦 = 𝑄 𝑑𝑥 Where P and Q are functions of x | — |
| - | N D | 20 | 𝑑𝑦 𝑦 Homogeneous Equations of the form: = 𝑓 ( )using the substitution y=vx 𝑑𝑥 𝑥 𝑑2𝑦 𝑑𝑦 Linear second order differential equation 𝑎 + 𝑏 + 𝑐𝑦 = 𝑓(𝑥), Where 𝑑𝑥2 𝑑𝑥 a, b, c are real constants and a particular integral can be found by means of a given substitution | — |
| - | N D | 21 | Differential equations reducible to the types above by means of a given substitution | — |
| - | N D | 22 | 12)FURTHER INTERGRESSION Motivation and definition of the definite integral. Integration using simple substitute. Use of partial fractions in integration | — |
| - | N D | 23 | Simple reduction formulae 13)APPLICATION OF THE DEFINITE INTEGRAL Mean value and root mean square value of a function | — |
| - | N D | 24 | Arc length and area of surface of revolution. Theorem of Pappus | — |
| - | N D | 25 | 14)FURTHER COORDINATE GEOMETRY Cartesian and parametric equations of a parabola and an ellipse Properties Tangents and normal | — |
| - | N D | 26 | Cartesian and parametric equations of a hyperbola, The rectangular hyperbola Properties Tangents and normal | — |
| - | N D | 27 | Simple loci problems | — |
| - | T H I R D | 28 | 15)FURTHER COMPLEX NUMBERS De Moivre’s theorem and its applications | — |
| - | T H I R D | 29 | Use of the relation 𝑒𝑖𝜃 = 𝑐𝑜𝑠𝜃 + 𝑖 sin 𝜃 Modulus o inequalities and applications | — |
| - | T H I R D | 30 | Loci in the Argand diagram. Elementary transformation from the z-plane to the w-plane | — |
| - | T H I R D | 31 | Transformation of the plane. Geometrical transformations similarity transformation and their complex number representation of the form z𝑧 ↦ 𝑎𝑧 + 𝑏 𝑜𝑟 𝑧 ⟼ 𝑎𝑧̌ + 𝑏 where a and b are complex numbers and a is not zero. Rigid motion | — |
| - | T H I R D | 32 | 16) THE VECTOR PRODUCT AND ITS APPLICATIONS Revision of vectors. The vector product la x bl and the triple scalar product (a x b).c | — |
| - | T H I R D | 33 | Application to areas and volumes. Applications to points lines and planes | — |
| - | T H I R D | 34 | REVISION | — |
| - | T H I R D | 35 | REVISION | — |
| - | T H I R D | 36 | END OF YEAR ACTIVITIES | — |