General Mathematics – SS1, SS2 & SS3 Curriculum; Scheme of Work; Assessment Tests

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ASSURE Educational Services has put-together the scheme of work on General Mathematics  – SS1, SS2 and SS3 based on the National Curriculum and the syllabus of WAEC and NECO. All the topics highlighted in the National Curriculum and the syllabus of WAEC and NECO have been accommodated in our Scheme of Work.

End of term Assessment Tests in SS1, SS2 and SS3 alongside Overall Assessment Tests are available. Schools may adopt our scheme of work because of its simplicity and ease of monitoring of academic activities.

The Scheme of Work stated below is inexhaustible. Schools are encouraged to input weeks and periods of completion of topics in accordance with the academic calendar, number of students and available classes.

SS1 General Mathematics – 1st Term Scheme of Work

 Class Term Main Topics Sub-Topics Contents SS1 1st Term NUMBER AND NUMERATION (a) Number bases (i) conversion of numbers from one base to another (ii) Basic operations on number bases (b)  Modular Arithmetic (i) Concept of Modulo Arithmetic.(ii) Addition, subtraction and multiplication operations in modulo arithmetic. (iii) Application to daily life (c) Fractions, Decimals and Approximations (i) Basic operations on fractions and decimals. (ii) Approximations and significant figures. (d) Indices (i) Laws of indices (ii) Numbers in standard form ( scientific notation) (e) Logarithms (i) Relationship between indices and logarithms e.g. y = 10k     implies log10y = k. (ii) Basic rules of logarithms e.g. log10(pq) = log10p + log10q log10(p/q) = log10p – log10q  log10pn = nlog10p. (iii) Use of tables of logarithms and antilogarithms.

SS1 General Mathematics – 2nd Term Scheme of Work

 Class Term Main Topics Sub-Topics Contents SS1 2nd Term NUMBER AND NUMERATION (f) Sequence and Series (i) Patterns of sequences. Determine any term of a given sequence. The notation Un = the nth termof a sequence may be used(ii) Arithmetic progression (A.P.) Geometric Progression (G.P.) Simple cases only, including word problems. (Include sum for A.P. and exclude sum for G.P). (g) Sets (i) Idea of sets, universal sets, finite and infinite sets, subsets, empty sets and disjoint sets. Idea of and notation for union, intersection and complement of sets. (ii) Solution of practical problems involving classification using Venn diagrams.Use of Venn diagrams restricted to at most 3 sets. (h) Logical Reasoning Simple statements. True and false statements. Negation of statements, implications. Use of symbols ⇐ ⇒: use of Venn diagrams. (i) Positive and negative integers, rational numbers The four basic operations on rational numbers. Match rational numbers with points on the number line. (j) Surds (Radicals) Simplification and rationalization of simple surds.

SS1 General Mathematics – 3rd Term Scheme of Work

 Class Term Main Topics Sub-Topics Contents SS1 3rd Term NUMBER AND NUMERATION (k) Matrices and Determinants (i) Identification of order, notation and types of matrices. (ii) Addition, subtraction, scalar multiplication and multiplication of matrices. (iii) Determinant of a matrix (l) Ratio, Proportions and Rates Ratio between two similar quantities. Proportion between two or more similar quantities. Financial partnerships, rates of work, costs, taxes, foreign exchange, density (e.g. population), mass, distance, time and speed. (m) Percentages Simple interest, commission, discount, depreciation, profit and loss, compound interest, hire purchase and percentage error. Limit compound interest to a maximum of 3 years. (n) Financial Arithmetic (i) Depreciation/ Amortization. Definition/meaning, calculation of depreciation on fixed assets, computation of amortization on capitalized assets. (ii) Annuities Definition/meaning, solve simple problems on annuities (iii) Capital Market Instruments Shares/stocks, debentures, bonds, simple problems on interest on bonds and debentures. (o) Variation Direct, inverse, partial and joint variations. Application to simple practical problems.

SS2 General Mathematics – 1st Term Scheme of Work

 Class Term Main Topics Sub-Topics Contents SS2 1st Term ALGEBRAIC PROCESSES (a) Algebraic expressions (i) Formulating algebraic expressions from given situations.(ii) Evaluation of algebraic expressions (b) Simple operations on algebraic expressions (i) Expansion (ii) Factorization (iii) Binary Operations (c) Solution of Linear Equations (i) Linear equations in one variable Solving/finding the truth set (solution set) for linear equations in one variable. (ii) Simultaneous linear equations in two variables. Solving/finding the truth set of simultaneous equations in two variables by elimination, substitution and graphical methods. Word problems involving one or two variables (d) Change of Subject of a Formula/Relation (i) Change of subject of a formula/relation (ii) Substitution. (e) Quadratic Equations (i) Solution of quadratic equations (ii) Forming quadratic equation with given roots. (iii) Application of solution of quadratic equation in practical problems. (f) Graphs of Linear and Quadratic functions. (i) Interpretation of graphs, coordinate of points, table of values, drawing quadratic graphs and obtaining roots from graphs. (ii) Graphical solution of a pair of equations of the form: y = ax2 + bx + c and y = mx + k***(iii) Drawing tangents to curves to determine the gradient at a given point. (g) Linear Inequalities (i) Solution of linear inequalities in one variable and representation on the number line. *(ii) Graphical solution of linear inequalities in two variables. *(iii) Graphical solution of simultaneous linear inequalities in two variables. (h) Algebraic Fractions Operations on algebraic fractions with: (i) Monomial denominators (ii) Binomial denominators

SS2 General Mathematics – 2nd Term Scheme of Work

 Class Term Main Topics Sub-Topics Contents SS2 2nd Term MENSURATION (a) Lengths and Perimeters (i) Use of Pythagoras theorem, sine and cosine rules to determine lengths and distances. (ii) Lengths of arcs of circles, perimeters of sectors and segments. (iii) Longitudes and Latitudes. (b) Areas (i) Triangles and special quadrilaterals – rectangles, parallelograms and trapeziums (ii) Circles, sectors and segments of circles. (iii) Surface areas of cubes, cuboids, cylinder, pyramids, right-triangular prisms, cones and spheres. (c) Volumes (i) Volumes of cubes, cuboids, cylinders, cones, right pyramids and spheres. (ii) Volumes of similar solids Include volumes of compound shapes. PLANE GEOMETRY (a) Angles (i) Angles at a point add up to 360o. (ii) Adjacent angles on a straight line are supplementary. (iii) Vertically opposite angles are equal. (b) Angles and intercepts on parallel lines. (i) Alternate angles are equal. (ii)Corresponding angles are equal. (iii)Interior opposite angles are supplementary (iv) Intercept theorem. (c) Triangles and Polygons (i) The sum of the angles of a triangle is 2 right angles. (ii) The exterior angle of a triangle equals the sum of the two interior opposite angles. (iii) Congruent triangles. (iv) Properties of special triangles – Isosceles, equilateral, right-angled, etc (v) Properties of special quadrilaterals – parallelogram, rhombus, square, rectangle, trapezium. (vi) Properties of similar triangles. (vii) The sum of the angles of a polygon (viii) Property of exterior angles of a polygon. (ix) Parallelograms on the same base and between the same parallels are equal in area. (d) Circles (i) Chords. (ii) The angle which an arc of a circle subtends at the centre of the circle is twice that which it subtends at any point on the remaining part of the circumference. (iii) Any angle subtended at the circumference by a diameter is a right angle. (iv) Angles in the same segment are equal. (v) Angles in opposite segments are supplementary. (vi)Perpendicularity of tangent and radius. (vii ) If a tangent is drawn to a circle and from the point of contact a chord is drawn, each angle which this chord makes with the tangent is equal to the angle in the alternate segment. (e) Construction (i) Bisectors of angles and line segments (ii) Line parallel or perpendicular to a given line. (iii)Angles e.g. 90o, 60o, 45o, 30o, and an angle equal to a given angle. (iv) Triangles and quadrilaterals from sufficient data. Include combination of these angles e.g. 75o, 105o,135o, etc. (f) Loci Knowledge of the loci listed below and their intersections in 2 dimensions. (i) Points at a given distance from a given point. (ii) Points equidistant from two given points. (iii)Points equidistant from two given straight lines. (iv)Points at a given distance from a given straight line.

SS2 General Mathematics – 3rd Term Scheme of Work

 Class Term Main Topics Sub-Topics Contents SS2 3rd Term COORDINATE GEOMETRY OF STRAIGHT LINES (i) Concept of the x-y plane. (ii) Coordinates of points on the x-y plane. Midpoint of two points, distance between two points; gradient (slope) of a line; equation of a line in the form y = mx + c and y – y1 = m(x – x1), where m is the gradient (slope) and c is a constant. TRIGONOMETRY (a) Sine, Cosine and Tangent of an angle. (i) Sine, Cosine and Tangent of acute angles. (ii) Use of tables of trigonometric ratios. (iii) Trigonometric ratios of 30o, 45o and 60o. (iv) Sine, cosine and tangent of angles from 0o to 360o. (v) Graphs of sine and cosine. (vi) Graphs of trigonometric ratios. (b) Angles of elevation and depression (i) Calculating angles of elevation and depression. (ii) Application to heights and distances. (c) Bearings (i) Bearing of one point from another. (ii) Calculation of distances and angles INTRODUCTORY CALCULUS (i) Differentiation of algebraic functions. (ii) Integration of simple Algebraic functions. Concept/meaning of differentiation/derived function, dy/dx , relationship between gradient of a curve at a point and the differential coefficient of the equation of the curve at that point. Application to real life situation such as maximum and minimum values, rates of change etc.Meaning/ concept of integration, evaluation of simple definite algebraic equations.

SS3 General Mathematics – 1st Term Scheme of Work

 Class Term Main Topics Sub-Topics Contents SS3 1st Term STATISTICS AND PROBABILITY (a) Statistics (i) Frequency distribution (ii) Pie charts, bar charts, histograms and frequency polygons (iii) Mean, median and mode for both discrete and grouped data.(iv) Cumulative frequency curve (Ogive). (v) Measures of Dispersion: range, semi inter-quartile/inter-quartile range, variance, mean deviation and standard deviation. (b) Probability (i) Experimental and theoretical probability. (ii) Addition of probabilities for mutually exclusive and independent events. (iii) Multiplication of probabilities for independent events.

SS3 General Mathematics – 2nd Term Scheme of Work – Revision