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SCHEME OF WORK
Mathematics
Form 3 2026
TERM III
School


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WK LSN TOPIC SUB-TOPIC OBJECTIVES T/L ACTIVITIES T/L AIDS REFERENCE REMARKS
1 5
Surds
Rational and irrational numbers
Order of surds and simplification
By the end of the lesson, the learner should be able to:
Classify numbers as rational and irrational numbers
Identify rational and irrational numbers
Distinguish between rational and irrational forms
In groups, learners are guided to:
Q/A on number classification concepts
Discussions on rational vs irrational properties
Solving classification problems
Demonstrations of number identification
Explaining decimal representations
Calculators, number classification charts
Calculators, surd order examples
KLB Mathematics Book Three Pg 78
1 6
Surds
Simplification of surds practice
Addition of surds
By the end of the lesson, the learner should be able to:
Simplify surds using factorization
Express surds in simplest form
Apply systematic simplification methods
In groups, learners are guided to:
Q/A on factorization techniques
Discussions on factor identification
Solving extensive simplification problems
Demonstrations of step-by-step methods
Explaining perfect square extraction
Calculators, factor trees, simplification worksheets
Calculators, addition rule charts
KLB Mathematics Book Three Pg 79-80
1 7
Surds
Subtraction of surds
Multiplication of surds
By the end of the lesson, the learner should be able to:
Subtract surds with like terms
Apply subtraction rules to surds
Simplify surd subtraction expressions
In groups, learners are guided to:
Q/A on subtraction principles
Discussions on surd subtraction methods
Solving subtraction problems
Demonstrations of systematic approaches
Explaining subtraction verification
Calculators, subtraction worksheets
Calculators, multiplication rule guides
KLB Mathematics Book Three Pg 80
2 1
Surds
Division of surds
By the end of the lesson, the learner should be able to:
Divide surds of the same order
Apply division rules to surds
Simplify quotients of surds
In groups, learners are guided to:
Q/A on division concepts
Discussions on surd division methods
Solving division problems systematically
Demonstrations of quotient simplification
Explaining division techniques
Calculators, division worksheets
KLB Mathematics Book Three Pg 81-82
2 2
Surds
Rationalizing the denominator
Advanced rationalization techniques
By the end of the lesson, the learner should be able to:
Rationalize the denominator of fractions
Apply rationalization techniques
Simplify expressions with surd denominators
In groups, learners are guided to:
Q/A on rationalization concepts
Discussions on denominator clearing
Solving rationalization problems
Demonstrations of conjugate methods
Explaining rationalization importance
Calculators, rationalization guides
Calculators, advanced technique sheets
KLB Mathematics Book Three Pg 85-87
2 3
Further Logarithms
Introduction
Laws of logarithms
By the end of the lesson, the learner should be able to:
Use calculators to find the logarithm of numbers
Understand logarithmic notation and concepts
Apply basic logarithmic principles
In groups, learners are guided to:
Q/A on exponential and logarithmic relationships
Discussions on logarithm definition and properties
Solving basic logarithm problems
Demonstrations of calculator usage
Explaining logarithm-exponential connections
Calculators, logarithm definition charts
Calculators, logarithm law charts
KLB Mathematics Book Three Pg 89
2 4
Further Logarithms
Laws of logarithms
By the end of the lesson, the learner should be able to:
Use laws of logarithms to solve problems
Apply advanced logarithmic laws
Combine multiple laws in calculations
In groups, learners are guided to:
Q/A on law mastery and applications
Discussions on power and root laws
Solving complex law-based problems
Demonstrations of combined law usage
Explaining advanced law techniques
Calculators, advanced law worksheets
Calculators, challenging problem sets
KLB Mathematics Book Three Pg 90-93
2 5
Further Logarithms
Logarithmic equations and expressions
By the end of the lesson, the learner should be able to:
Solve the logarithmic equations and expressions
Apply algebraic methods to logarithmic equations
Verify solutions of logarithmic equations
In groups, learners are guided to:
Q/A on equation-solving techniques
Discussions on logarithmic equation types
Solving basic logarithmic equations
Demonstrations of solution methods
Explaining verification techniques
Calculators, equation-solving guides
KLB Mathematics Book Three Pg 93-95
2 6
Further Logarithms
Logarithmic equations and expressions
Further computation using logarithms
By the end of the lesson, the learner should be able to:
Solve the logarithmic equations and expressions
Handle complex logarithmic equations
Apply advanced solution techniques
In groups, learners are guided to:
Q/A on advanced equation methods
Discussions on complex equation structures
Solving challenging logarithmic equations
Demonstrations of sophisticated techniques
Explaining advanced solution strategies
Calculators, advanced equation worksheets
Calculators, computation worksheets
KLB Mathematics Book Three Pg 93-95
2 7
Further Logarithms
Further computation using logarithms
By the end of the lesson, the learner should be able to:
Solve problems involving logarithms
Apply logarithms to intermediate calculations
Handle multi-step logarithmic computations
In groups, learners are guided to:
Q/A on intermediate computational skills
Discussions on multi-step processes
Solving intermediate computation problems
Demonstrations of systematic approaches
Explaining step-by-step methods
Calculators, intermediate problem sets
Calculators, advanced computation guides
KLB Mathematics Book Three Pg 95-96
3 1
Further Logarithms
Problem solving
By the end of the lesson, the learner should be able to:
Solve problems involving logarithms
Apply logarithms to computational applications
Integrate logarithmic concepts systematically
In groups, learners are guided to:
Q/A on integrated problem-solving
Discussions on application strategies
Solving comprehensive computational problems
Demonstrations of integrated approaches
Explaining systematic problem-solving
Calculators, comprehensive problem sets
Calculators, real-world application examples
KLB Mathematics Book Three Pg 97
3 2
Circles: Chords and Tangents
Length of an arc
By the end of the lesson, the learner should be able to:
Calculate the length of an arc
Apply arc length formula
Understand arc-radius relationships
In groups, learners are guided to:
Q/A on circle properties and terminology
Discussions on arc measurement concepts
Solving basic arc length problems
Demonstrations of formula application
Explaining arc-angle relationships
Geometrical set, calculators
KLB Mathematics Book Three Pg 124-125
3 3
Circles: Chords and Tangents
Length of an arc
Chords
By the end of the lesson, the learner should be able to:
Calculate the length of an arc
Solve complex arc length problems
Apply arc concepts to real situations
In groups, learners are guided to:
Q/A on advanced arc applications
Discussions on practical arc measurements
Solving complex arc problems
Demonstrations of real-world applications
Explaining engineering and design uses
Geometrical set, calculators
KLB Mathematics Book Three Pg 124-125
3 4
Circles: Chords and Tangents
Parallel chords
Equal chords
By the end of the lesson, the learner should be able to:
Calculate the perpendicular bisector
Find the value of parallel chords
Apply parallel chord properties
In groups, learners are guided to:
Q/A on parallel chord concepts
Discussions on perpendicular bisector properties
Solving parallel chord problems
Demonstrations of construction techniques
Explaining geometric relationships
Geometrical set, calculators
KLB Mathematics Book Three Pg 129-131
3 5
Circles: Chords and Tangents
Intersecting chords
By the end of the lesson, the learner should be able to:
Calculate the length of intersecting chords
Apply intersecting chord theorem
Understand chord intersection properties
In groups, learners are guided to:
Q/A on chord intersection concepts
Discussions on intersection theorem
Solving basic intersection problems
Demonstrations of theorem application
Explaining geometric proofs
Geometrical set, calculators
KLB Mathematics Book Three Pg 132-135
3 6
Circles: Chords and Tangents
Chord properties
By the end of the lesson, the learner should be able to:
Solve comprehensive chord problems
Integrate all chord concepts
Apply chord knowledge systematically
In groups, learners are guided to:
Q/A on comprehensive chord understanding
Discussions on integrated problem-solving
Solving mixed chord problems
Demonstrations of systematic approaches
Explaining complete chord mastery
Geometrical set, calculators
KLB Mathematics Book Three Pg 126-139
3 7
Circles: Chords and Tangents
Tangent to a circle
By the end of the lesson, the learner should be able to:
Construct a tangent to a circle
Understand tangent properties
Apply tangent construction methods
In groups, learners are guided to:
Q/A on tangent definition and properties
Discussions on tangent construction
Solving basic tangent problems
Demonstrations of construction techniques
Explaining tangent characteristics
Geometrical set, calculators
KLB Mathematics Book Three Pg 139-140
4 1
Circles: Chords and Tangents
Properties of tangents to a circle from an external point
Tangent properties
By the end of the lesson, the learner should be able to:
State the properties of tangents to a circle from an external point
Apply external tangent properties
Solve external tangent problems
In groups, learners are guided to:
Q/A on external tangent concepts
Discussions on tangent properties
Solving external tangent problems
Demonstrations of property applications
Explaining theoretical foundations
Geometrical set, calculators
KLB Mathematics Book Three Pg 142-144
4 2
Circles: Chords and Tangents
Tangents to two circles
By the end of the lesson, the learner should be able to:
Calculate the tangents of direct common tangents
Find direct common tangent properties
Apply two-circle tangent concepts
In groups, learners are guided to:
Q/A on two-circle tangent concepts
Discussions on direct tangent properties
Solving direct tangent problems
Demonstrations of construction methods
Explaining geometric relationships
Geometrical set, calculators
KLB Mathematics Book Three Pg 148-149
4 3
Circles: Chords and Tangents
Contact of circles
By the end of the lesson, the learner should be able to:
Calculate the radii of contact circles
Understand internal contact properties
Apply contact circle concepts
In groups, learners are guided to:
Q/A on circle contact concepts
Discussions on internal contact properties
Solving internal contact problems
Demonstrations of contact relationships
Explaining geometric principles
Geometrical set, calculators
KLB Mathematics Book Three Pg 151-153
4 4
Circles: Chords and Tangents
Contact of circles
Circle contact
By the end of the lesson, the learner should be able to:
Calculate the radii of contact circles
Understand external contact properties
Compare internal and external contact
In groups, learners are guided to:
Q/A on external contact concepts
Discussions on contact type differences
Solving external contact problems
Demonstrations of contact analysis
Explaining contact applications
Geometrical set, calculators
KLB Mathematics Book Three Pg 153-154
4 5
Circles: Chords and Tangents
Angle in alternate segment
By the end of the lesson, the learner should be able to:
Calculate the angles in alternate segments
Apply alternate segment theorem
Understand segment angle properties
In groups, learners are guided to:
Q/A on alternate segment concepts
Discussions on segment angle relationships
Solving basic segment problems
Demonstrations of theorem application
Explaining geometric proofs
Geometrical set, calculators
KLB Mathematics Book Three Pg 157-160
4 6
Circles: Chords and Tangents
Circumscribed circle
By the end of the lesson, the learner should be able to:
Construct circumscribed circles
Find circumscribed circle properties
Apply circumscription concepts
In groups, learners are guided to:
Q/A on circumscription concepts
Discussions on circumscribed circle construction
Solving circumscription problems
Demonstrations of construction techniques
Explaining circumscription applications
Geometrical set, calculators
KLB Mathematics Book Three Pg 165
4 7
Circles: Chords and Tangents
Escribed circles
Centroid
By the end of the lesson, the learner should be able to:
Construct escribed circles
Find escribed circle properties
Apply escription concepts
In groups, learners are guided to:
Q/A on escription concepts
Discussions on escribed circle construction
Solving escription problems
Demonstrations of construction methods
Explaining escription applications
Geometrical set, calculators
KLB Mathematics Book Three Pg 165-166
5 1
Circles: Chords and Tangents
Orthocenter
Circle and triangle relationships
By the end of the lesson, the learner should be able to:
Construct orthocenter
Find orthocenter properties
Apply orthocenter concepts
In groups, learners are guided to:
Q/A on orthocenter concepts
Discussions on orthocenter construction
Solving orthocenter problems
Demonstrations of construction methods
Explaining orthocenter applications
Geometrical set, calculators
KLB Mathematics Book Three Pg 167
5 2
Matrices
Introduction and real-life applications
Order of a matrix and elements
Square matrices, row and column matrices
Addition of matrices
By the end of the lesson, the learner should be able to:
Define matrices and identify matrix applications
Recognize matrices in everyday contexts
Understand tabular data representation
Appreciate the importance of matrices
In groups, learners are guided to:
Q/A on tabular data in daily life
Discussions on school exam results tables
Analyzing bus timetables and price lists
Demonstrations using newspaper sports tables
Explaining matrix notation using grid patterns
Old newspapers with league tables, chalk and blackboard, exercise books
Chalk and blackboard, ruled exercise books, class register
Paper cutouts, chalk and blackboard, counters or bottle tops
Counters or stones, chalk and blackboard, exercise books
KLB Mathematics Book Three Pg 168-169
5 3
Matrices
Subtraction of matrices
Combined addition and subtraction
Scalar multiplication
By the end of the lesson, the learner should be able to:
Subtract matrices of the same order
Apply matrix subtraction rules correctly
Understand order requirements for subtraction
Solve complex matrix subtraction problems
In groups, learners are guided to:
Q/A on matrix subtraction using simple numbers
Discussions on element-wise subtraction using examples
Solving subtraction problems on blackboard
Demonstrations using number line concepts
Explaining sign changes using practical examples
Chalk and blackboard, exercise books, number cards made from cardboard
Chalk and blackboard, exercise books, locally made operation cards
Beans or stones for grouping, chalk and blackboard, exercise books
KLB Mathematics Book Three Pg 170-171
5 4
Matrices
Introduction to matrix multiplication
Matrix multiplication (2×2 matrices)
Matrix multiplication (larger matrices)
By the end of the lesson, the learner should be able to:
Understand matrix multiplication prerequisites
Learn compatibility requirements for multiplication
Apply row-by-column multiplication method
Calculate simple matrix products
In groups, learners are guided to:
Q/A on multiplication compatibility using dimensions
Discussions on row-column method using finger tracing
Solving basic multiplication using dot product method
Demonstrations using physical row-column matching
Explaining order requirements using practical examples
Chalk and blackboard, rulers for tracing, exercise books
Chalk and blackboard, exercise books, homemade grid templates
Chalk and blackboard, large sheets of paper for working, exercise books
KLB Mathematics Book Three Pg 174-176
5 5
Matrices
Properties of matrix multiplication
By the end of the lesson, the learner should be able to:
Understand non-commutativity of matrix multiplication
Apply associative and distributive properties
Distinguish between pre and post multiplication
Solve problems involving multiplication properties
In groups, learners are guided to:
Q/A on multiplication properties using counterexamples
Discussions on order importance using practical examples
Solving property-based problems using verification
Demonstrations using concrete examples
Explaining distributive law using expansion
Chalk and blackboard, exercise books, cardboard for property cards
KLB Mathematics Book Three Pg 174-179
5 6
Matrices
Real-world matrix multiplication applications
Identity matrix
By the end of the lesson, the learner should be able to:
Apply matrix multiplication to practical problems
Solve business and economic applications
Calculate costs, revenues, and quantities
Interpret matrix multiplication results
In groups, learners are guided to:
Q/A on practical applications using local business examples
Discussions on market problems using familiar contexts
Solving real-world problems using matrix methods
Demonstrations using shop keeper scenarios
Explaining result interpretation using meaningful contexts
Chalk and blackboard, local price lists, exercise books
Chalk and blackboard, exercise books, pattern cards made from paper
KLB Mathematics Book Three Pg 176-179
5 7
Matrices
Determinant of 2×2 matrices
Inverse of 2×2 matrices - theory
By the end of the lesson, the learner should be able to:
Calculate determinants of 2×2 matrices
Apply the determinant formula correctly
Understand geometric interpretation of determinants
Use determinants to classify matrices
In groups, learners are guided to:
Q/A on determinant calculation using cross multiplication
Discussions on formula application using memory aids
Solving determinant problems using systematic approach
Demonstrations using cross pattern method
Explaining geometric meaning using area concepts
Chalk and blackboard, exercise books, crossed sticks for demonstration
Chalk and blackboard, exercise books, fraction examples
KLB Mathematics Book Three Pg 183
6 1
Matrices
Inverse of 2×2 matrices - practice
Introduction to solving simultaneous equations
By the end of the lesson, the learner should be able to:
Calculate inverses of 2×2 matrices systematically
Verify inverse calculations through multiplication
Apply inverse properties correctly
Solve complex inverse problems
In groups, learners are guided to:
Q/A on inverse calculation verification methods
Discussions on accuracy checking using multiplication
Solving advanced inverse problems using practice
Demonstrations using verification procedures
Explaining checking methods using examples
Chalk and blackboard, exercise books, scrap paper for verification
Chalk and blackboard, exercise books, equation examples from previous topics
KLB Mathematics Book Three Pg 185-187
6 2
Matrices
Solving 2×2 simultaneous equations using matrices
By the end of the lesson, the learner should be able to:
Solve 2×2 simultaneous equations using matrix methods
Apply inverse matrix techniques
Verify solutions by substitution
Compare matrix method with other techniques
In groups, learners are guided to:
Q/A on matrix solution methods using step-by-step approach
Discussions on solution verification using substitution
Solving 2×2 systems using complete method
Demonstrations using organized solution process
Explaining method advantages using comparisons
Chalk and blackboard, exercise books, previous elimination method examples
KLB Mathematics Book Three Pg 188-190
6 3
Matrices
Advanced simultaneous equation problems
Matrix applications in real-world problems
By the end of the lesson, the learner should be able to:
Solve complex simultaneous equation systems
Handle systems with no solution or infinite solutions
Interpret determinant values in solution context
Apply matrix methods to word problems
In groups, learners are guided to:
Q/A on complex systems using special cases
Discussions on solution types using geometric interpretation
Solving challenging problems using complete analysis
Demonstrations using classification methods
Explaining geometric meaning using line concepts
Chalk and blackboard, exercise books, graph paper if available
Chalk and blackboard, local business examples, exercise books
KLB Mathematics Book Three Pg 188-190
6 4
Matrices
Transpose of matrices
Matrix equation solving
By the end of the lesson, the learner should be able to:
Define and calculate matrix transpose
Understand transpose properties
Apply transpose operations correctly
Solve problems involving transpose
In groups, learners are guided to:
Q/A on transpose concepts using reflection ideas
Discussions on row-column interchange using visual methods
Solving transpose problems using systematic approach
Demonstrations using flip and rotate concepts
Explaining properties using symmetry ideas
Chalk and blackboard, exercise books, paper cutouts for demonstration
Chalk and blackboard, exercise books, algebra reference examples
KLB Mathematics Book Three Pg 170-174
6 5
Formulae and Variations
Introduction to formulae
Subject of a formula - basic cases
By the end of the lesson, the learner should be able to:
Define formulae and identify formula components
Recognize formulae in everyday contexts
Understand the relationship between variables
Appreciate the importance of formulae in mathematics
In groups, learners are guided to:
Q/A on familiar formulae from daily life
Discussions on cooking recipes as formulae
Analyzing distance-time relationships using walking examples
Demonstrations using perimeter and area calculations
Explaining formula notation using simple examples
Chalk and blackboard, measuring tape or string, exercise books
Chalk and blackboard, simple balance (stones and stick), exercise books
KLB Mathematics Book Three Pg 191-193
6 6
Formulae and Variations
Subject of a formula - intermediate cases
By the end of the lesson, the learner should be able to:
Make complex variables the subject of formulae
Handle formulae with fractions and powers
Apply multiple inverse operations systematically
Solve intermediate difficulty problems
In groups, learners are guided to:
Q/A on complex rearrangement using systematic approach
Discussions on fraction handling using common denominators
Solving intermediate problems using organized methods
Demonstrations using step-by-step blackboard work
Explaining systematic approaches using flowcharts
Chalk and blackboard, fraction strips made from paper, exercise books
KLB Mathematics Book Three Pg 191-193
6 7
Formulae and Variations
Subject of a formula - advanced cases
Applications of formula manipulation
By the end of the lesson, the learner should be able to:
Make variables subject in complex formulae
Handle square roots and quadratic expressions
Apply advanced algebraic manipulation
Solve challenging subject transformation problems
In groups, learners are guided to:
Q/A on advanced manipulation using careful steps
Discussions on square root handling using examples
Solving complex problems using systematic approach
Demonstrations using detailed blackboard work
Explaining quadratic handling using factoring
Chalk and blackboard, squared paper patterns, exercise books
Chalk and blackboard, local measurement tools, exercise books
KLB Mathematics Book Three Pg 191-193
7 1
Formulae and Variations
Introduction to variation
Direct variation - introduction
By the end of the lesson, the learner should be able to:
Understand the concept of variation
Distinguish between variables and constants
Recognize variation in everyday situations
Identify different types of variation
In groups, learners are guided to:
Q/A on variable relationships using daily examples
Discussions on changing quantities in nature and commerce
Analyzing variation patterns using local market prices
Demonstrations using speed-time relationships
Explaining variation types using practical examples
Chalk and blackboard, local price lists from markets, exercise books
Chalk and blackboard, beans or stones for counting, exercise books
KLB Mathematics Book Three Pg 194-196
7 2
Sequences and Series
Introduction to sequences and finding terms
General term of sequences and applications
By the end of the lesson, the learner should be able to:
Define sequences and identify sequence patterns
Find next terms using established patterns
Recognize different types of sequence patterns
Apply pattern recognition systematically
In groups, learners are guided to:
Q/A on number patterns from daily life
Discussions on counting patterns using classroom arrangements
Solving pattern completion problems step-by-step
Demonstrations using bead or stone arrangements
Explaining sequence terminology and pattern continuation
Chalk and blackboard, stones or beans for patterns, exercise books
Chalk and blackboard, numbered cards made from paper, exercise books
KLB Mathematics Book Three Pg 207-208
7 3
Sequences and Series
Arithmetic sequences and nth term
By the end of the lesson, the learner should be able to:
Define arithmetic sequences and common differences
Calculate common differences correctly
Derive and apply the nth term formula
Solve problems using arithmetic sequence concepts
In groups, learners are guided to:
Q/A on arithmetic patterns using step-by-step examples
Discussions on constant difference patterns and formula derivation
Solving arithmetic sequence problems systematically
Demonstrations using equal-step progressions
Explaining formula structure using algebraic reasoning
Chalk and blackboard, measuring tape or string, exercise books
KLB Mathematics Book Three Pg 209-210
7 4
Sequences and Series
Arithmetic sequence applications
Geometric sequences and nth term
By the end of the lesson, the learner should be able to:
Solve complex arithmetic sequence problems
Apply arithmetic sequences to real-world problems
Handle word problems involving arithmetic sequences
Model practical situations using arithmetic progressions
In groups, learners are guided to:
Q/A on practical applications using local business examples
Discussions on salary progression and savings plans
Solving real-world problems using sequence methods
Demonstrations using employment and finance scenarios
Explaining practical interpretation using meaningful contexts
Chalk and blackboard, local employment/savings examples, exercise books
Chalk and blackboard, objects for doubling demonstrations, exercise books
KLB Mathematics Book Three Pg 209-210
7 5
Sequences and Series
Geometric sequence applications
Arithmetic series and sum formula
By the end of the lesson, the learner should be able to:
Solve complex geometric sequence problems
Apply geometric sequences to real-world problems
Handle population growth and depreciation problems
Model exponential patterns using sequences
In groups, learners are guided to:
Q/A on practical applications using population/growth examples
Discussions on exponential growth in nature and economics
Solving real-world problems using geometric methods
Demonstrations using population and business scenarios
Explaining practical interpretation using meaningful contexts
Chalk and blackboard, population/growth data examples, exercise books
Chalk and blackboard, counting materials for summation, exercise books
KLB Mathematics Book Three Pg 211-213
7 6
Sequences and Series
Geometric series and applications
Mixed problems and advanced applications
By the end of the lesson, the learner should be able to:
Define geometric series and understand convergence
Derive and apply geometric series formulas
Handle finite and infinite geometric series
Apply geometric series to practical situations
In groups, learners are guided to:
Q/A on geometric series concepts using multiplication examples
Discussions on convergence and formula applications
Solving geometric series problems including infinite cases
Demonstrations using geometric sum patterns
Explaining convergence using practical examples
Chalk and blackboard, convergence demonstration materials, exercise books
Chalk and blackboard, mixed problem collections, exercise books
KLB Mathematics Book Three Pg 216-219
7 7
Sequences and Series
Sequences in nature and technology
By the end of the lesson, the learner should be able to:
Identify mathematical patterns in natural phenomena
Analyze sequences in biological and technological contexts
Apply sequence concepts to environmental problems
Appreciate mathematics in the natural and modern world
In groups, learners are guided to:
Q/A on natural and technological patterns using examples
Discussions on biological sequences and digital applications
Solving nature and technology-based problems
Demonstrations using natural pattern examples
Explaining mathematical beauty using real phenomena
Chalk and blackboard, natural and technology examples, exercise books
KLB Mathematics Book Three Pg 207-219
8

END OF YEAR EXAMINATIONS

9

EXAMS AND SCHOOL CLOSING


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