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

We provide educational resources/materials, curriculum guide, syllabus, scheme of work, lesson note & plan, waec, jamb, O-level & advance level GCE lessons/tutorial classes, on various topics, subjects, career, disciplines & department etc. for all the Class of Learners

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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We provide educational resources/materials, curriculum guide, syllabus, scheme of work, lesson note & plan, waec, jamb, O-level & advance level GCE lessons/tutorial classes, on various topics, subjects, career, disciplines & department etc. for all the Class of Learners