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Mathematics
Form 3 2026
TERM III
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WK LSN TOPIC SUB-TOPIC OBJECTIVES T/L ACTIVITIES T/L AIDS REFERENCE REMARKS
1 4-5
Trigonometry (II)
The unit circle
Trigonometric ratios of angles greater than 90°
By the end of the lesson, the learner should be able to:
Draw the unit circle
Identify coordinates on the unit circle
Understand the unit circle concept
Find the trigonometric values of angles
Calculate trigonometric ratios for obtuse angles
Apply reference angle concepts
In groups, learners are guided to:
Q/A on basic circle properties
Discussions on unit circle construction
Solving problems using unit circle
Demonstrations of circle drawing
Explaining unit circle applications
Q/A on basic trigonometric ratios
Discussions on angle extensions
Solving obtuse angle problems
Demonstrations of reference angles
Explaining quadrant relationships
Calculators, protractors, rulers, pair of compasses
Calculators, protractors, rulers, pair of compasses
Calculators, quadrant charts
KLB Mathematics Book Three Pg 41-42
KLB Mathematics Book Three Pg 44-45
1 6
Trigonometry (II)
Trigonometric ratios of negative angles
By the end of the lesson, the learner should be able to:
Find the trigonometric values of negative angles
Apply negative angle identities
Solve problems involving negative angles
In groups, learners are guided to:
Q/A on negative angle concepts
Discussions on angle direction
Solving negative angle problems
Demonstrations of identity applications
Explaining clockwise rotations
Geoboards, graph books, calculators
KLB Mathematics Book Three Pg 48-49
1 7
Trigonometry (II)
Trigonometric ratios of angles greater than 360°
Use of mathematical tables
By the end of the lesson, the learner should be able to:
Find the trigonometric values of angles greater than 360°
Apply coterminal angle concepts
Reduce angles to standard position
In groups, learners are guided to:
Q/A on angle reduction concepts
Discussions on coterminal angles
Solving extended angle problems
Demonstrations of angle reduction
Explaining periodic properties
Geoboards, graph books, calculators
Mathematical tables, calculators
KLB Mathematics Book Three Pg 49-51
2 1
Trigonometry (II)
Use of mathematical tables
Use of calculators
By the end of the lesson, the learner should be able to:
Use mathematical tables to find tan
Apply tables for all trigonometric functions
Compare table and calculator results
In groups, learners are guided to:
Q/A on tangent table usage
Discussions on function relationships
Solving comprehensive table problems
Demonstrations of result verification
Explaining table limitations
Mathematical tables, calculators
Calculators, function guides
KLB Mathematics Book Three Pg 55-56
2 2
Trigonometry (II)
Radian measure
By the end of the lesson, the learner should be able to:
Convert degrees to radians and vice versa
Apply radian measure in calculations
Understand radian-degree relationships
In groups, learners are guided to:
Q/A on angle measurement systems
Discussions on radian concepts
Solving conversion problems
Demonstrations of conversion methods
Explaining radian applications
Calculators, conversion charts
KLB Mathematics Book Three Pg 58-61
2 3
Trigonometry (II)
Simple trigonometric graphs
Graphs of cosines
By the end of the lesson, the learner should be able to:
Draw tables for sine of values
Plot graphs of sine functions
Identify sine graph properties
In groups, learners are guided to:
Q/A on coordinate graphing
Discussions on periodic functions
Solving graphing problems
Demonstrations of sine plotting
Explaining graph characteristics
Calculators, graph papers, plotting guides
KLB Mathematics Book Three Pg 62-63
2 4-5
Trigonometry (II)
Graphs of tan
The sine rule
Cosine rule
By the end of the lesson, the learner should be able to:
Draw tables for tan of values
Plot graphs of tan functions
Identify asymptotes and discontinuities
State the sine rule
Apply sine rule to find solution of triangles
Solve triangles using sine rule
In groups, learners are guided to:
Q/A on tangent behavior
Discussions on function domains
Solving tangent graphing problems
Demonstrations of asymptote identification
Explaining discontinuous functions
Q/A on triangle properties
Discussions on sine rule applications
Solving triangle problems
Demonstrations of rule application
Explaining ambiguous case
Calculators, graph papers, plotting guides
Calculators, triangle worksheets
KLB Mathematics Book Three Pg 64-65
KLB Mathematics Book Three Pg 65-70
2 6
Trigonometry (II)
Commercial Arithmetic
Problem solving
Simple interest
By the end of the lesson, the learner should be able to:
Solve problems on cosines, sines and tan
Apply trigonometry to real-world situations
Integrate all trigonometric concepts
In groups, learners are guided to:
Q/A on chapter consolidation
Discussions on practical applications
Solving comprehensive problems
Demonstrations of problem-solving strategies
Explaining real-world trigonometry
Calculators, comprehensive problem sets, real-world examples
Calculators, simple interest charts
KLB Mathematics Book Three Pg 76-77
2 7
Commercial Arithmetic
Simple interest
By the end of the lesson, the learner should be able to:
Calculate simple interest
Solve complex simple interest problems
Apply simple interest to real-world situations
In groups, learners are guided to:
Q/A on advanced simple interest concepts
Discussions on practical applications
Solving complex interest problems
Demonstrations of real-world scenarios
Explaining business applications
Calculators, real-world problem sets
KLB Mathematics Book Three Pg 98-101
3 1
Commercial Arithmetic
Compound interest
By the end of the lesson, the learner should be able to:
Calculate the compound interest
Apply compound interest formula
Understand compounding concepts
In groups, learners are guided to:
Q/A on compound interest principles
Discussions on compounding frequency
Solving basic compound interest problems
Demonstrations of compound calculations
Explaining compounding effects
Calculators, compound interest tables
Calculators, comparison worksheets
KLB Mathematics Book Three Pg 102-106
3 2
Commercial Arithmetic
Appreciation
Depreciation
By the end of the lesson, the learner should be able to:
Calculate the appreciation value of items
A wepply appreciation concepts
Solve appreciation problems
In groups, learners are guided to:
Q/A on appreciation concepts
Discussions on asset value increases
Solving appreciation calculation problems
Demonstrations of value growth
Explaining appreciation applications
Calculators, appreciation examples
Calculators, depreciation charts
KLB Mathematics Book Three Pg 108
3 3
Commercial Arithmetic
Hire purchase
By the end of the lesson, the learner should be able to:
Find the hire purchase
Calculate hire purchase terms
Understand hire purchase concepts
In groups, learners are guided to:
Q/A on hire purchase principles
Discussions on installment buying
Solving basic hire purchase problems
Demonstrations of payment calculations
Explaining hire purchase benefits
Calculators, hire purchase examples
KLB Mathematics Book Three Pg 110-112
3

Exam 1

4 1
Commercial Arithmetic
Hire purchase
Income tax and P.A.Y.E
By the end of the lesson, the learner should be able to:
Find the hire purchase
Solve complex hire purchase problems
Calculate total costs and interest charges
In groups, learners are guided to:
Q/A on advanced hire purchase scenarios
Discussions on complex payment structures
Solving challenging hire purchase problems
Demonstrations of cost analysis
Explaining consumer finance decisions
Calculators, complex hire purchase worksheets
Income tax tables, calculators
KLB Mathematics Book Three Pg 110-112
4 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
4 3
Circles: Chords and Tangents
Chords
By the end of the lesson, the learner should be able to:
Calculate the length of a chord
Apply chord properties and theorems
Understand chord-radius relationships
In groups, learners are guided to:
Q/A on chord definition and properties
Discussions on chord calculation methods
Solving basic chord problems
Demonstrations of geometric constructions
Explaining chord theorems
Geometrical set, calculators
KLB Mathematics Book Three Pg 126-128
4 4-5
Circles: Chords and Tangents
Parallel chords
Equal chords
Intersecting 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
Calculate the length of intersecting chords
Apply intersecting chord theorem
Understand chord intersection 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
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 129-131
KLB Mathematics Book Three Pg 132-135
4 6
Circles: Chords and Tangents
Intersecting chords
Chord properties
By the end of the lesson, the learner should be able to:
Calculate the length of intersecting chords
Solve complex intersection problems
Apply advanced chord theorems
In groups, learners are guided to:
Q/A on advanced intersection scenarios
Discussions on complex chord relationships
Solving challenging intersection problems
Demonstrations of advanced techniques
Explaining sophisticated applications
Geometrical set, calculators
KLB Mathematics Book Three Pg 135-139
4 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
5 1
Circles: Chords and Tangents
Properties of tangents to a circle from an external point
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
5 2
Circles: Chords and Tangents
Tangent properties
Tangents to two circles
By the end of the lesson, the learner should be able to:
Solve comprehensive tangent problems
Apply all tangent concepts
Integrate tangent knowledge systematically
In groups, learners are guided to:
Q/A on comprehensive tangent mastery
Discussions on integrated applications
Solving mixed tangent problems
Demonstrations of complete understanding
Explaining systematic problem-solving
Geometrical set, calculators
KLB Mathematics Book Three Pg 139-147
5 3
Circles: Chords and Tangents
Tangents to two circles
Contact of circles
By the end of the lesson, the learner should be able to:
Calculate the tangents of transverse common tangents
Find transverse tangent properties
Compare direct and transverse tangents
In groups, learners are guided to:
Q/A on transverse tangent concepts
Discussions on tangent type differences
Solving transverse tangent problems
Demonstrations of comparison methods
Explaining tangent classifications
Geometrical set, calculators
KLB Mathematics Book Three Pg 150-151
5 4-5
Circles: Chords and Tangents
Contact of circles
Circle contact
Angle in alternate segment
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
Solve problems involving chords, tangents and contact circles
Integrate all contact concepts
Apply comprehensive contact knowledge
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
Q/A on comprehensive contact understanding
Discussions on integrated problem-solving
Solving complex contact problems
Demonstrations of systematic approaches
Explaining complete contact mastery
Geometrical set, calculators
KLB Mathematics Book Three Pg 153-154
KLB Mathematics Book Three Pg 154-157
5 6
Circles: Chords and Tangents
Angle in alternate segment
Circumscribed circle
By the end of the lesson, the learner should be able to:
Calculate the angles in alternate segments
Solve complex segment problems
Apply advanced segment theorems
In groups, learners are guided to:
Q/A on advanced segment applications
Discussions on complex angle relationships
Solving challenging segment problems
Demonstrations of sophisticated techniques
Explaining advanced applications
Geometrical set, calculators
KLB Mathematics Book Three Pg 160-161
5 7
Circles: Chords and Tangents
Escribed circles
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
6 1
Circles: Chords and Tangents
Centroid
Orthocenter
By the end of the lesson, the learner should be able to:
Construct centroid
Find centroid properties
Apply centroid concepts
In groups, learners are guided to:
Q/A on centroid definition and properties
Discussions on centroid construction
Solving centroid problems
Demonstrations of construction techniques
Explaining centroid applications
Geometrical set, calculators
KLB Mathematics Book Three Pg 166
6 2
Circles: Chords and Tangents
Circle and triangle relationships
By the end of the lesson, the learner should be able to:
Solve comprehensive circle-triangle problems
Integrate all circle and triangle concepts
Apply advanced geometric relationships
In groups, learners are guided to:
Q/A on comprehensive geometric understanding
Discussions on integrated relationships
Solving complex geometric problems
Demonstrations of advanced applications
Explaining sophisticated geometric principles
Geometrical set, calculators
KLB Mathematics Book Three Pg 164-167
6 3
Binomial Expansion
Binomial expansions up to power four
Binomial expansions up to power four (continued)
By the end of the lesson, the learner should be able to:
Expand binomial function up to power four
Apply systematic multiplication methods
Recognize coefficient patterns in expansions
Use multiplication to expand binomial expressions
In groups, learners are guided to:
Q/A on algebraic multiplication using familiar expressions
Discussions on systematic expansion using step-by-step methods
Solving basic binomial multiplication problems
Demonstrations using area models and rectangular arrangements
Explaining pattern recognition using organized layouts
Chalk and blackboard, rectangular cutouts from paper, exercise books
Chalk and blackboard, squared paper for geometric models, exercise books
KLB Mathematics Book Three Pg 256
6 4-5
Binomial Expansion
Pascal's triangle
Pascal's triangle applications
Pascal's triangle (continued)
By the end of the lesson, the learner should be able to:
Use Pascal's triangle
Construct Pascal's triangle systematically
Apply triangle coefficients for binomial expansions
Recognize number patterns in the triangle
Use Pascal's triangle
Apply triangle to complex expansion problems
Handle higher powers using Pascal's triangle
Integrate triangle concepts with algebraic expansion
In groups, learners are guided to:
Q/A on triangle construction using addition patterns
Discussions on coefficient relationships using triangle analysis
Solving triangle construction and application problems
Demonstrations using visual triangle building
Explaining pattern connections using systematic observation
Q/A on advanced triangle applications using complex examples
Discussions on higher power expansion using triangle methods
Solving challenging problems using Pascal's triangle
Demonstrations using detailed triangle constructions
Explaining integration using comprehensive examples
Chalk and blackboard, triangular patterns drawn/cut from paper, exercise books
Chalk and blackboard, Pascal's triangle reference charts, exercise books
Chalk and blackboard, advanced triangle patterns, exercise books
KLB Mathematics Book Three Pg 256-257
KLB Mathematics Book Three Pg 258-259
6 6
Binomial Expansion
Pascal's triangle advanced
Applications to numerical cases
By the end of the lesson, the learner should be able to:
Use Pascal's triangle
Apply general binomial theorem concepts
Understand combination notation in expansions
Use general term formula applications
In groups, learners are guided to:
Q/A on general formula understanding using pattern analysis
Discussions on combination notation using counting principles
Solving general term problems using formula application
Demonstrations using systematic formula usage
Explaining general principles using algebraic reasoning
Chalk and blackboard, combination calculation aids, exercise books
Chalk and blackboard, simple calculation aids, exercise books
KLB Mathematics Book Three Pg 258-259
6 7
Binomial Expansion
Compound Proportion and Rates of Work
Applications to numerical cases (continued)
Compound Proportions
By the end of the lesson, the learner should be able to:
Use binomial expansion to solve numerical problems
Apply binomial methods to complex calculations
Handle decimal approximations using expansions
Solve practical numerical problems
In groups, learners are guided to:
Q/A on advanced numerical applications using complex scenarios
Discussions on decimal approximation using expansion techniques
Solving challenging numerical problems using systematic methods
Demonstrations using detailed calculation procedures
Explaining practical relevance using real-world examples
Chalk and blackboard, advanced calculation examples, exercise books
Chalk and blackboard, local business examples, calculators if available, exercise books
KLB Mathematics Book Three Pg 259-260
7 1
Compound Proportion and Rates of Work
Compound Proportions applications
By the end of the lesson, the learner should be able to:
Find the compound proportions
Apply compound proportions to complex problems
Handle multi-step compound proportion scenarios
Solve real-world compound proportion problems
In groups, learners are guided to:
Q/A on advanced compound proportion using complex scenarios
Discussions on multi-variable relationships using practical contexts
Solving challenging compound problems using systematic approaches
Demonstrations using construction and farming examples
Explaining practical applications using community-based scenarios
Chalk and blackboard, construction/farming examples, exercise books
KLB Mathematics Book Three Pg 290-291
7 2
Compound Proportion and Rates of Work
Proportional Parts
Proportional Parts applications
By the end of the lesson, the learner should be able to:
Calculate the proportional parts
Understand proportional division concepts
Apply proportional parts to sharing problems
Solve distribution problems using proportional methods
In groups, learners are guided to:
Q/A on proportional sharing using practical examples
Discussions on fair distribution using ratio concepts
Solving proportional parts problems using systematic division
Demonstrations using sharing scenarios and inheritance examples
Explaining proportional distribution using logical reasoning
Chalk and blackboard, sharing demonstration materials, exercise books
Chalk and blackboard, business partnership examples, exercise books
KLB Mathematics Book Three Pg 291-293
7 3
Compound Proportion and Rates of Work
Rates of Work
Rates of Work and Mixtures
By the end of the lesson, the learner should be able to:
Calculate the rate of work
Understand work rate relationships
Apply time-work-efficiency concepts
Solve basic rate of work problems
In groups, learners are guided to:
Q/A on work rate calculation using practical examples
Discussions on efficiency and time relationships using work scenarios
Solving basic rate of work problems using systematic methods
Demonstrations using construction and labor examples
Explaining work rate concepts using practical work situations
Chalk and blackboard, work scenario examples, exercise books
Chalk and blackboard, mixture demonstration materials, exercise books
KLB Mathematics Book Three Pg 294-295
7 4-5
Graphical Methods
Tables of given relations
Graphs of given relations
Tables and graphs integration
By the end of the lesson, the learner should be able to:
Draw tables of given relations
Construct organized data tables systematically
Prepare data for graphical representation
Understand relationship between variables
Draw graphs of given relations
Plot points accurately on coordinate systems
Connect points to show relationships
Interpret graphs from given data
In groups, learners are guided to:
Q/A on table construction using systematic data organization
Discussions on variable relationships using practical examples
Solving table preparation problems using organized methods
Demonstrations using data collection and tabulation
Explaining systematic data arrangement using logical procedures
Q/A on graph plotting using coordinate methods
Discussions on point plotting and curve drawing
Solving graph construction problems using systematic plotting
Demonstrations using coordinate systems and curve sketching
Explaining graph interpretation using visual analysis
Chalk and blackboard, ruled paper for tables, exercise books
Chalk and blackboard, graph paper or grids, rulers, exercise books
Chalk and blackboard, graph paper, data examples, exercise books
KLB Mathematics Book Three Pg 299
KLB Mathematics Book Three Pg 300
7 6
Graphical Methods
Introduction to cubic equations
By the end of the lesson, the learner should be able to:
Draw tables of cubic functions
Understand cubic equation characteristics
Prepare cubic function data systematically
Recognize cubic curve patterns
In groups, learners are guided to:
Q/A on cubic function evaluation using systematic calculation
Discussions on cubic equation properties using mathematical analysis
Solving cubic table preparation using organized methods
Demonstrations using cubic function examples
Explaining cubic characteristics using pattern recognition
Chalk and blackboard, cubic function examples, exercise books
KLB Mathematics Book Three Pg 301
7 7
Graphical Methods
Graphical solution of cubic equations
Advanced cubic solutions
By the end of the lesson, the learner should be able to:
Draw graphs of cubic equations
Plot cubic curves accurately
Use graphs to solve cubic equations
Find roots using graphical methods
In groups, learners are guided to:
Q/A on cubic curve plotting using systematic point plotting
Discussions on curve characteristics and root finding
Solving cubic graphing problems using careful plotting
Demonstrations using cubic curve construction
Explaining root identification using graph analysis
Chalk and blackboard, graph paper, cubic equation examples, exercise books
Chalk and blackboard, advanced graph examples, exercise books
KLB Mathematics Book Three Pg 302-304
8 1
Graphical Methods
Introduction to rates of change
Average rates of change
By the end of the lesson, the learner should be able to:
Calculate the average rates of change
Understand rate of change concepts
Apply rate calculations to practical problems
Interpret rate meanings in context
In groups, learners are guided to:
Q/A on rate calculation using slope methods
Discussions on rate interpretation using practical examples
Solving basic rate problems using systematic calculation
Demonstrations using speed-time and distance examples
Explaining rate concepts using practical analogies
Chalk and blackboard, rate calculation examples, exercise books
Chalk and blackboard, graph paper, rate examples, exercise books
KLB Mathematics Book Three Pg 304-306
8 2
Graphical Methods
Advanced average rates
By the end of the lesson, the learner should be able to:
Calculate the average rates of change
Handle complex rate scenarios
Apply rates to business and scientific problems
Integrate rate concepts with other topics
In groups, learners are guided to:
Q/A on complex rate applications using advanced scenarios
Discussions on business and scientific rate applications
Solving challenging rate problems using integrated methods
Demonstrations using comprehensive rate examples
Explaining advanced applications using detailed analysis
Chalk and blackboard, advanced rate scenarios, exercise books
KLB Mathematics Book Three Pg 304-310
8 3
Graphical Methods
Introduction to instantaneous rates
Rate of change at an instant
By the end of the lesson, the learner should be able to:
Calculate the rate of change at an instant
Understand instantaneous rate concepts
Distinguish between average and instantaneous rates
Apply instant rate methods
In groups, learners are guided to:
Q/A on instantaneous rate concepts using limiting methods
Discussions on instant vs average rate differences
Solving basic instantaneous rate problems
Demonstrations using tangent line concepts
Explaining instantaneous rate using practical examples
Chalk and blackboard, tangent line examples, exercise books
Chalk and blackboard, detailed graph examples, exercise books
KLB Mathematics Book Three Pg 310-311
8 4-5
Graphical Methods
Advanced instantaneous rates
Empirical graphs
Advanced empirical methods
By the end of the lesson, the learner should be able to:
Calculate the rate of change at an instant
Handle complex instantaneous rate scenarios
Apply instant rates to advanced problems
Integrate instantaneous concepts with applications
Draw the empirical graphs
Apply empirical methods to complex data
Handle large datasets and trends
Interpret empirical results meaningfully
In groups, learners are guided to:
Q/A on advanced instantaneous applications using complex examples
Discussions on sophisticated rate problems using detailed analysis
Solving challenging instantaneous problems using systematic methods
Demonstrations using comprehensive rate constructions
Explaining advanced applications using detailed reasoning
Q/A on advanced empirical techniques using complex datasets
Discussions on trend analysis using systematic methods
Solving challenging empirical problems using organized approaches
Demonstrations using comprehensive data analysis
Explaining advanced interpretations using detailed reasoning
Chalk and blackboard, advanced rate examples, exercise books
Chalk and blackboard, experimental data examples, exercise books
Chalk and blackboard, complex data examples, exercise books
KLB Mathematics Book Three Pg 310-315
KLB Mathematics Book Three Pg 315-321
9

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10

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