Recent Scheme of Work on General Mathematics

Syllabus for Senior Secondary

FIRST TERM
SSS 1 SSS 2 SSS 3
WEEK 1: Revision
WEEK 1: Revision
WEEK 1: Revision
WEEK 2

Theme: Number and Numeration

Topic: Number Base System

Sub-Topic:
Content:
1. Conversion from one base base 10
2. Conversion of decimal fraction in one base to base 10
3. Conversion of number from one base to another base
4. Addition, subtraction, multiplication and division of number bases
5. Application to computer programming
WEEK 2

Theme: Number And Numeration

Topic: Logarithm

Sub-Topic:
Content:
1. Revision of logarithm numbers greater than 1.
2. Comparison of characteristics of logarithms and standard form of numbers.
3. Logarithm of numbers less than one, including multiplication Division Powers and roots.
4. Solution of simple logarithms equations.
WEEK 2

Theme: Number And Numeration

Topic: Surds

Sub-Topic:
Content:
1. Meaning of rationa and irrational numbers leading to the definition of surds.
2. The rules guiding basic operation with surds i.e.
√a + √b ≠√a+b
√a - √b ≠√a-b
√a x √b ≠√axb
√a ÷√b ≠√a/b
3 Conjugate of a binomial surds using the idea of difference of two squares.
4. Application to solving triangles involving trigonometric ratios of special angles 30°,60° and 45°.
5. Evaluation of expressions involving surds.
WEEK 3

Theme: Number and Numeration

Topic: Modular Arithmetic LESSON NOTE

Sub-Topic:
Content:
1. Revision of addition, subtraction, multiplication and division of integers
2. Concept of module arithmetic.
3. Addition, subtraction and multiplication operations in module arithmetic.
4. Application to daily life.
5. Application of logarithm in capital market and other real life problems.
6. Use of logarithm table in calculation, division, powers and roots
WEEK 3

Theme: Number And Numeration

Topic: Approximations

Sub-Topic:
Content:
1. Revision of approximation.
2. Accuracy of result using logarithm table and calculators
3. Percentage error
4. Application of approximation to everyday life.
WEEK 3

Theme: Number And Numeration

Topic: Matrices and determinants LESSON NOTE

Sub-Topic:
Content:
1. Definition, order and notation of a matrix
2. Types of matrices
3. Addition and subtraction of matrices
WEEK 4

Theme: Number and Numeration

Topic: Logarithms

Sub-Topic:
Content:
1. Deducing logarithm from indices and standard form
2. Definition of logarithm
3. Graph of y = 10x
4. Reading of logarithm and antilogarithm tables
WEEK 4

Theme: Number And Numeration

Topic: Sequence and Series LESSON NOTE

Sub-Topic:
Content:
1. Meaning and types of sequence
2. Example of an A.P
3. Calculation of
(i) first term
(ii) common difference
(iii) nth term
(iv) Arithmetic mean sum of an A.P
4. Practical problems involving real life situations.
5. Examples of geometric progression
6. Calculation of
(i) First term (a)
(ii) common ratio (r)
(iii) nth term,
(iv) geometric menu
(v) Sum of geometric progression.
(vi) sum to infinity
7. Practical problems involving real life situation.
WEEK 4

Theme: Number And Numeration

Topic: Matrices and determinants

Sub-Topic:
Content:
1. Scalar multiplication of matrices and multiplication of matrices
2. Transpose of a matrix
3. determinant of 2 x 2 and 3 x 3 metrics.
WEEK 5

Theme: Number and Numeration

Topic: Sets

Sub-Topic:
Content:
1. Definition of Set
2. Set Notation
Listing or Roster method
Rule method
Set builder notation
3. Types of sets
- Empty set
Guide and infinite sets
-Universal sets
4. Set operations
-Union
-Intersection
-Complement
WEEK 5

Theme: Algebraic Process

Topic: 1. Quadratic equation
2. Simultaneous linear and Quadratic Equations

Sub-Topic:
Content:
1. Revision of factorization of perfect squares.
2. Making quadratic expression perfect squares by adding a constant K
3. Solution of quadratic equation by the method of completing the square
4. Deducing the quadratic formula from completing the square
5. Construction of quadratic equation from sum and product of roots.
6. Word problems leading to quadratic equation.
7. Simultaneous linear equations (Revision)
8. Solution of linear and quadratic equation.
9. Use of the graphical methods to solve other related equation.
10. Gradient of a straight line.
11. Drawing of tangents to a curve.
WEEK 5

Theme: Number And Numeration

Topic: Logarithm

Sub-Topic:
Content:
Revision of laws of indices Laws of logarithms
WEEK 6

Theme: Number and Numeration

Topic: Sets

Sub-Topic:
Content:
1. Definition of Set
2. Set Notation
Listing or Roster method
Rule method
Set builder notation
3. Types of sets
- Empty set
Guide and infinite sets
-Universal sets
4. Set operations
-Union
-Intersection
-Complement (Cont.)
WEEK 6

Theme: Algebraic Process

Topic: Gradient of a Curve

Sub-Topic:
Content:
1. Straight line graph
2. Gradient of s straight line.
3. Drawing of tangents to a curve.
WEEK 6

Theme: Number And Numeration

Topic: Arithematic of finance

Sub-Topic:
Content:
1. Simple interest (Revision)
2. Compound Interest
3. Depreciation
WEEK 7

Theme: Algebraic Process

Topic: Simple Equations and Variations

Sub-Topic:
Content:
1. Change of subject of formulae
- Formula involving brackets, roots and powers.
2. Subject of formula and substitution
3. Types of variations
-Direct, inverse
-Joint and partial
4. Application of variation
WEEK 7

Theme: Algebraic Process

Topic: Logical Reasoning (Revision)

Sub-Topic:
Content:
1. Simple and compound statement.
2. Logical operation and the truth tables
3. Conditional statement and indirect proofs.
4. Gradient of a curve.
WEEK 7

Theme: Number And Numeration

Topic: Arithematic of finance

Sub-Topic:
Content:
1. Annuities
2. Amortization
3. Further use of logarithm table in problems involving:
- Bonds and debentures
- Shares
- Rales
- Income tax
- Value added tax
WEEK 8

Theme: Algebraic Process

Topic: Quadratic Equation

Sub-Topic:
Content:
1. Revision of factorization of quadratic expressions
2. Solution of quadratic equation of the form
ab = 0; a=o or b = 0
3. Formation of quadratic equation with given roots
4. Drawing quadratic graph
5. Obtain roots from quadratic graph
6. Application of quadratic equation to real life situations.
WEEK 8

Theme: Algebraic Process

Topic: Linear Inequalities

Sub-Topic:
Content:
1. Revise linear inequalities in one variable.
2. Solution of inequalities in two variables
3. Range of values of combined inequalities.
4. Graph of linear inequalities in two variables
5. Maximum and minimum values of simultaneous linear inequalities.
6. Application of linear inequalities in real life.
7. Introduction to linear programming.
WEEK 8

Theme: Algebraic Process

Topic: Application of Linear and quadratic equations to capital market etc.

Sub-Topic:
Content:
Revision of solution of simultaneous linear and quadratic equations e.g.
y + x =c ,
y2 + x2 + k
WEEK 9

Theme: Algebraic Process

Topic: Logical Reasoning

Sub-Topic:
Content:
1. Simple statements
2. Meaning of simple statement
-True or false
-negative of simple statements.
3. Compound statements.
-Meaning
-Conjunction
-Disjunction
-Implication
-bi-implication
4. Logical operators and symbols.
5. List of logical operators and symbols
6. Truth value of A compound statement
7. Negation
8. Conjunction
9. Disjunction
10. Conditional statement
11. bi-conditional statement.
WEEK 9

Theme: Algebraic Process

Topic: Algebraic Fractions

Sub-Topic:
Content:
1. Simplification of fractions.
2. Operation in algebraic fractions
3. Equation involving fraction
4. Substitution in fraction.
5. Simultaneous equation involving fractions.
6. Undefined value of a fraction.
WEEK 9

Theme: Algebraic Process

Topic: Application of Linear and quadratic equations to capital market etc.

Sub-Topic:
Content:
1. Word problems on Linear equations Simultaneous linear equation Quadratic equations One linear one quadratic
2. Application to capital market

WEEK 10: REVISION AND EXAMININATION
WEEK 10: REVISION AND EXAMININATION
WEEK 10: REVISION AND EXAMININATION

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SECOND TERM
SSS 1 SSS 2 SSS 3
WEEK 1: Revision
WEEK 1: Revision
WEEK 1: Revision
WEEK 2

Theme: Geometry

Topic: Constructions

Sub-Topic:
Content:
Revision of:
Construction of triangles with given ideas;
- Bisection of an angle; 30°, 45°, 60°, and 90°
WEEK 2

Theme: Geometry

Topic: Chord Property

Sub-Topic:
Content:
Riders based on the circle theorems include:
Angles subtended by chords in a circle;
Angle subtended by chordes at the center.
Perpendicular bisectors of chords;
Angle in alternate segments.
WEEK 2

Theme: Geometry

Topic: Trignometry Graphs of Trignometric Ratios

Sub-Topic:
Content:
1. Graphs of - Sine 0 ≤ x ≤ 360
- Cosine 0 ≤ x ≤ 360
2. Graphical solution of simultaneous linear and trigonometric equations
WEEK 3

Theme: Geometry

Topic: Constructions

Sub-Topic:
Content:
Construction of:
- An angle equal to a given angle.
- 4-side plane figures given certain conditions.
Locus of moving points equidistant from 2 lines,
2 point ,
and constant distance from a point etc.
WEEK 3

Theme: Geometry

Topic: Chord Property

Sub-Topic:
Content:
Riders based on the circle theorems include:
Angles subtended by chords in a circle;
Angle subtended by chordes at the center.
Perpendicular bisectors of chords;
Angle in alternate segments. (Cont.)
WEEK 3

Theme: Geometry

Topic: Surface Area and volume of sphere

Sub-Topic:
Content:
1. Surface area of a sphere
2. Volume of a sphere
WEEK 4

Theme: Geometry

Topic: Proofs of Some Basic equations

Sub-Topic:
Content:
Proofs of: angle sum of a triangle is 180°
WEEK 4

Theme: Geometry

Topic: Circle Theorems

Sub-Topic:
Content:
Proof of the angle which an arc subtends at the center is twice the angle it subtends at the circumference.
WEEK 4

Theme: Geometry

Topic: Longitude and latitude

Sub-Topic:
Content:
1. Earth as a sphere
2. Identification of:
- North and South poles
- Longitudes
- Latitudes
- Small circles and great circles
- Meridian and equator
Parallel of latitude
- Radius of parallel of latitude
Radius of Earth.
WEEK 5

Theme: Geometry

Topic: Proofs of Some Basic equations

Sub-Topic:
Content:
The exterior angle of a triangle is equal to the sum of two interior opposite angles
WEEK 5

Theme: Geometry

Topic: Circle Theorems

Sub-Topic:
Content:
prove of:
Angles in the same segment of a circle are equal.
Angle in a semi-circle
Cyclic quadrilaterals
Tangents to a circle
WEEK 5

Theme: Geometry

Topic: Longitude and latitude

Sub-Topic:
Content:
1. Revision of: arc length of a curve
2. Calculations of distance between two points on the earth.
3. Knotical rules, time variation
WEEK 6

Theme: Geometry

Topic: Trigonometric Ratios

Sub-Topic:
Content:
1. Trigonometric ratio of
- Angle 30°
- Angle 45°
- Angle 60°
2. Application of trigonometric ratios of special angles to simple problems
3. Trigonometric ratios related to the unit circle
WEEK 6

Theme: Geometry

Topic: Trigonometry

Sub-Topic:
Content:
Derivation and application of sine rule.
WEEK 6

Theme: Geometry

Topic: Coordinates geometry of straight lines

Sub-Topic:
Content:
1. The Cartesian rectangular coordinates
2. Plotting the linear graph
3. Distance between two coordinate points
4. Midpoint of line joining two points
WEEK 7

Theme: Geometry

Topic: Trigonometric Ratios

Sub-Topic:
Content:
1. Graphs of sine and cosines
2. Graphs of sine and cosines
3. Basic trigonometric Ratios
- sine
- cosine
- tangent with Respect to Right Angled triangles
WEEK 7

Theme: Geometry

Topic: Trigonometry

Sub-Topic:
Content:
Derivation and application of cosine rule.
WEEK 7

Theme: Geometry

Topic: Coordinates geometry of straight lines

Sub-Topic:
Content:
1. Practical application of coordinate geometry
2. Gradients and intercept of a straight line
3. Determination of equation of a straight line
4. Angle between two intersecting straight lines
5. Application of linear graphs to real life student
WEEK 8

Theme: Geometry

Topic: Mensuration

Sub-Topic:
Content:
1. Length of arcs of circles.
2. Perimeter of sectors and segments.
3. Areas of sectors of a circle.
4. Areas of segments of a circle
WEEK 8

Theme: Trigonometry

Topic: Bearings

Sub-Topic:
Content:
1. Revision of;
Trigonometric ratios.
Angles of elevation and depression.
2. Definition and drawing of:
- 4 cardinal points
- 16 cardinal points
- 16 cardinal points
3. Notation for bearings.
-Cardinal notation
N30 degree E,
- S45 degree W
- 3-digits notation e.g.
075 degree,
350 degree.
4. Practical problems on bearing.
WEEK 8

Theme: Introductory Calculus

Topic: Differentiation of Algebraic fractions

Sub-Topic:
Content:
1. Meaning of differentiation/ derived function
2. Differentiation from the first principle.
3. Standard derivatives of some basic functions
4. Rules of differentiation such as:
a) sum and difference
b) product rule
c) quotient rule
5. Application to real life situation such as maxims and minima, velocity, acceleration and rate of change.
WEEK 9

Theme: Geometry

Topic: Mensuration

Sub-Topic:
Content:
1. Relation between the sector of a circle and the surface area of a cone
2. Surface area and volumes of solids
- Cube, Cuboids
- Cylinder
- Cone
- Prism
- Pyramids
3. Surface areas and volume of frustruion of a cone and pyramid.
4. Surface area and volume of compound shapes.
WEEK 9

Theme: Trigonometry

Topic: Bearings

Sub-Topic:
Content:
1. Revision of;
Trigonometric ratios.
Angles of elevation and depression.
2. Definition and drawing of:
- 4 cardinal points
- 16 cardinal points
- 16 cardinal points
3. Notation for bearings.
-Cardinal notation
N30 degree E,
- S45 degree W
- 3-digits notation e.g.
075 degree,
350 degree.
4. Practical problems on bearing. (Cont.)
WEEK 9

Theme: Introductory Calculus

Topic: Integration of simple Algebraic functions

Sub-Topic:
Content:
1. Integration and evaluation of definite simple Algebraic functions.
2. Application of integration in calculating area under the curve.
3. Use of Simpson's rule to find area under the curve.

WEEK 10: REVISION AND EXAMININATION
WEEK 10: REVISION AND EXAMININATION
WEEK 10: REVISION AND EXAMININATION

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THIRD TERM
SSS 1 SSS 2 SSS 3
WEEK 1: Revision
WEEK 1: Revision
WEEK 1: Revision
WEEK 2

Theme: Statistics

Topic: Data Presentation

Sub-Topic:
Content:
Revision on collection, tabulation and presentation of data
WEEK 2

Theme: Statistics

Topic: Measures of Central Tendency

Sub-Topic:
Content:
Meaning and computation of mean, median, mode or ungrouped data
WEEK 2

Theme:

Topic:

Sub-Topic:
Content:
WEEK 3

Theme: Statistics

Topic: Data Presentation

Sub-Topic:
Content:
Frequency Distribution
WEEK 3

Theme: Statistics

Topic: Measures of Dispersion

Sub-Topic:
Content:
1. Definition of
- Range
- Variance
- Standard deviation
2. Calculation of
- Range
- Variance
- Standard deviation
3. Practical application in capital market reports.
- Home
- health
- studies
- population studies
WEEK 3

Theme:

Topic:

Sub-Topic:
Content:
WEEK 4

Theme: Statistics

Topic: Data Presentation

Sub-Topic:
Content:
Frequency Distribution (Cont.)
WEEK 4

Theme: Statistics

Topic: Measures of Dispersion

Sub-Topic:
Content:
1. Definition of
- Range
- Variance
- Standard deviation
2. Calculation of
- Range
- Variance
- Standard deviation
3. Practical application in capital market reports.
- Home
- health
- studies
- population studies (Cont.)
WEEK 4

Theme:

Topic:

Sub-Topic:
Content:
WEEK 5

Theme: Statistics

Topic: Data Presentation

Sub-Topic:
Content:
Liner graph, bar graph and histograms.
WEEK 5

Theme: Statistics

Topic: Histograms of Grouped Data (Revision)

Sub-Topic:
Content:
1. Need for grouping
2. Calculation of
- Class boundaries
- Class interval
- Class mark
WEEK 5

Theme:

Topic:

Sub-Topic:
Content:
WEEK 6

Theme: Statistics

Topic: Data Presentation

Sub-Topic:
Content:
Liner graph, bar graph and histograms. (Cont.)
WEEK 6

Theme: Statistics

Topic: Cummulative Frequency graph

Sub-Topic:
Content:
1. Calculation of cumulative frequencies.
2. Drawing of cumulative frequency curve graph (ogive)
WEEK 6

Theme:

Topic:

Sub-Topic:
Content:
WEEK 7

Theme: Statistics

Topic: Data Presentation

Sub-Topic:
Content:
Pie chart
WEEK 7

Theme: Statistics

Topic: Cummulative Frequency graph

Sub-Topic:
Content:
1. Calculation of cumulative frequencies.
2. Drawing of cumulative frequency curve graph (Ogive) (Cont.)
WEEK 7

Theme:

Topic:

Sub-Topic:
Content:
WEEK 8

Theme: Statistics

Topic: Data Presentation

Sub-Topic:
Content:
Frequency polygon.
WEEK 8

Theme: Statistics

Topic: Cummulative Frequency graph

Sub-Topic:
Content:
1. Using graph of cumulative frequency to estimate
- Median
- Quartiles
- Percentiles
other relevant estimates
2. Application of Ogives to everyday life.
WEEK 8

Theme:

Topic:

Sub-Topic:
Content:
WEEK 9

Theme: Statistics

Topic: Data Presentation

Sub-Topic:
Content:
Frequency polygon. (Cont.)
WEEK 9

Theme: Statistics

Topic: Cummulative Frequency graph

Sub-Topic:
Content:
1. Using graph of cumulative frequency to estimate
- Median
- Quartiles
- Percentiles
other relevant estimates
2. Application of Ogives to everyday life. (Cont.)
WEEK 9

Theme:

Topic:

Sub-Topic:
Content:

WEEK 10: REVISION AND EXAMININATION
WEEK 10: REVISION AND EXAMININATION
WEEK 10: REVISION AND EXAMININATION

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