SCHEME OF WORK Mathematics Form 3 2025 Term II

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SCHEME OF WORK
Mathematics
Form 3 2025
TERM II
School

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WK	LSN	TOPIC	SUB-TOPIC	OBJECTIVES	T/L ACTIVITIES	T/L AIDS	REFERENCE	REMARKS
1	2	Quadratic Expressions and Equations	Factorization of quadratic expressions Completing squares	By the end of the lesson, the learner should be able to: Factorize quadratic expressions Write the perfect squares	Discussions Solving Demonstrating Explaining	calculators	KLB Mathematics Book Three Pg 1
	1	3	Quadratic Expressions and Equations	Completing squares Solving quadratic expression by completing square	By the end of the lesson, the learner should be able to: Factorize quadratic expression by completing square method	Discussions Solving Demonstrating Explaining	calculators Calculators	KLB Mathematics Book Three Pg 3-4
	1	4	Quadratic Expressions and Equations	Solving quadratic expression by factorization	By the end of the lesson, the learner should be able to: Factorize quadratic expressions Solve quadratic expressions by factorization	Discussions Solving Demonstrating Explaining	Calculators	KLB Mathematics Book Three Pg 7
	1	5	Quadratic Expressions and Equations	The quadratic formula	By the end of the lesson, the learner should be able to: Solve quadratic expressions using the quadratic formula	Discussions Solving Demonstrating Explaining	Calculators	KLB Mathematics Book Three Pg 7-9
	1	6	Quadratic Expressions and Equations	Formation of quadratic equations Graphs of quadratic functions	By the end of the lesson, the learner should be able to: Form a quadratic equation from word problem Solve the quadratic equation	Discussions Solving Demonstrating Explaining	graph papers & geoboard	KLB Mathematics Book Three Pg 9-10
	1	7	Quadratic Expressions and Equations	Graphs of quadratic functions	By the end of the lesson, the learner should be able to: Draw a table of the quadratic functions Draw graphs of quadratic functions	Discussions Solving Demonstrating Explaining	graph papers & geoboard	KLB Mathematics Book Three Pg 12-15
2	1	Quadratic Expressions and Equations	Graphical solutions of quadratic equation	By the end of the lesson, the learner should be able to: Draw graphs of quadratic functions Solve quadratic equations using the graphs	Discussions Solving Demonstrating Explaining	graph papers & geoboard	KLB Mathematics Book Three Pg 15-17
	2	2	Quadratic Expressions and Equations	Graphical solutions of simultaneous equations Further graphical solutions	By the end of the lesson, the learner should be able to: Draw tables for simultaneous equations Find the graphical solutions of simultaneous equations	Discussions Solving Demonstrating Explaining	graph papers & geoboard graph papers & geoboards	KLB Mathematics Book Three Pg 19-21
	2	3	Approximations and Errors	Computing using calculators	By the end of the lesson, the learner should be able to: Solve basic operations using calculators	Discussions Solving Demonstrating Explaining	Calculators	KLB Mathematics Book Three Pg 24-26
	2	4	Approximations and Errors	Computing using calculators Approximation	By the end of the lesson, the learner should be able to: Solve basic operations using calculators	Discussions Solving Demonstrating Explaining	Calculators	KLB Mathematics Book Three Pg 26-28
	2	5	Approximations and Errors	Estimation Accuracy and errors	By the end of the lesson, the learner should be able to: Approximate values by estimation	Discussions Solving Demonstrating Explaining	Calculators	KLB Mathematics Book Three Pg 30
	2	6	Approximations and Errors	Percentage error	By the end of the lesson, the learner should be able to: Find the percentage error of a given value	Discussions Solving Demonstrating Explaining	Calculators	KLB Mathematics Book Three Pg 32-34
	2	7	Approximations and Errors	Rounding off error and truncation error Propagation of errors	By the end of the lesson, the learner should be able to: Find the rounding off error Find the truncation error	Discussions Solving Demonstrating Explaining	Calculators	KLB Mathematics Book Three Pg 34
3	1	Approximations and Errors	Propagation of errors	By the end of the lesson, the learner should be able to: Find the propagation of errors in addition and subtraction	Discussions Solving Demonstrating Explaining	Calculators	KLB Mathematics Book Three Pg 35-36
	3	2	Approximations and Errors	Propagation of errors	By the end of the lesson, the learner should be able to: Find the propagation of errors in multiplication	Discussions Solving Demonstrating Explaining	Calculators	KLB Mathematics Book Three Pg 36-37
	3	3	Approximations and Errors	Propagation of errors	By the end of the lesson, the learner should be able to: Find the propagation of errors in division	Discussions Solving Demonstrating Explaining	Calculators	KLB Mathematics Book Three Pg 37-38
	3	4	Approximations and Errors Trigonometry (II)	Word problems The unit circle	By the end of the lesson, the learner should be able to: Find the propagation of errors of a word problem	Discussions Solving Demonstrating Explaining	Calculators Calculators Protractor Ruler Pair of compasses	KLB Mathematics Book Three Pg 39-40
	3	5	Trigonometry (II)	The unit circle	By the end of the lesson, the learner should be able to: Solve problems using the unit circle	Discussions Solving Demonstrating Explaining	Calculators Protractor Ruler Pair of compasses	KLB Mathematics Book Three Pg 43-44
	3	6	Trigonometry (II)	Trigonometric ratios of angles greater than 900	By the end of the lesson, the learner should be able to: Find the trigonometric values of angles	Discussions Solving Demonstrating Explaining	Calculators Protractor Ruler Pair of compasses Calculators	KLB Mathematics Book Three Pg 44-45
	3	7	Trigonometry (II)	Trigonometric ratios of negative angles Trigonometric ratios of angles greater than 3600	By the end of the lesson, the learner should be able to: Find the trigonometric values of negative angles	Discussions Solving Demonstrating Explaining	geo boards & graph books	KLB Mathematics Book Three Pg 48-49
4	1	Trigonometry (II)	Use of mathematical tables	By the end of the lesson, the learner should be able to: Use mathematical tables to find sine and cosine	Discussions Solving Demonstrating Explaining	mathematical tables	KLB Mathematics Book Three Pg 51-55
	4	2	Trigonometry (II)	Use of calculators	By the end of the lesson, the learner should be able to: Use calculators to find sine, cosine and tan	Discussions Solving Demonstrating Explaining	calculators	KLB Mathematics Book Three Pg 56-58
	4	3	Trigonometry (II)	Radian measure Simple trigonometric graphs	By the end of the lesson, the learner should be able to: Convert degrees to radians and vice versa	Discussions Solving Demonstrating Explaining	Calculators	KLB Mathematics Book Three Pg 58-61
	4	4	Trigonometry (II)	Graphs of cosines Graphs of tan	By the end of the lesson, the learner should be able to: Draw tables for cosine of values Draw graphs of cosine functions	Discussions Solving Demonstrating Explaining	Calculators	KLB Mathematics Book Three Pg 63-64
	4	5	Trigonometry (II)	The sine rule	By the end of the lesson, the learner should be able to: State the sine rule Use sine rule to find solution of triangles	Discussions Solving Demonstrating Explaining	Calculators	KLB Mathematics Book Three Pg 65-70
	4	6	Trigonometry (II)	Cosine rule Problem solving	By the end of the lesson, the learner should be able to: State the sine rule Use sine rule to find solution of triangles	Discussions Solving Demonstrating Explaining	Calculators	KLB Mathematics Book Three Pg 71-75
	4	7	Surds	Rational and irrational numbers Surds	By the end of the lesson, the learner should be able to: Classify numbers as rational and irrational numbers	Discussions Solving Demonstrating Explaining	Calculators	KLB Mathematics Book Three Pg 78
5	1	Surds	Addition of surds	By the end of the lesson, the learner should be able to: Add surds	Discussions Solving Demonstrating Explaining	Calculators	KLB Mathematics Book Three Pg 79-80
	5	2	Surds	Subtraction of surds Multiplication of surds	By the end of the lesson, the learner should be able to: Subtract surds	Discussions Solving Demonstrating Explaining	Calculators	KLB Mathematics Book Three Pg 80
	5	3	Surds	Division of surds Rationalizing the denominator	By the end of the lesson, the learner should be able to: Divide surds	Discussions Solving Demonstrating Explaining	Calculators	KLB Mathematics Book Three Pg 81-82
	5	4	Surds	Solving problem	By the end of the lesson, the learner should be able to: Solve problems on surds	Discussions Solving Demonstrating Explaining	Calculators	KLB Mathematics Book Three Pg 87-88
	5	5	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	Discussions Solving Demonstrating Explaining	Calculators	KLB Mathematics Book Three Pg 89
	5	6	Further Logarithms	Laws of logarithms Logarithmic equations and expressions	By the end of the lesson, the learner should be able to: State the laws of logarithms Use laws of logarithms to solve problems	Discussions Solving Demonstrating Explaining	Calculators	KLB Mathematics Book Three Pg 90-93
	5	7	Further Logarithms	Logarithmic equations and expressions	By the end of the lesson, the learner should be able to: Solve the logarithmic equations and expressions	Discussions Solving Demonstrating Explaining	Calculators	KLB Mathematics Book Three Pg 93-95
6	1	Further Logarithms	Further computation using logarithms	By the end of the lesson, the learner should be able to: Solve problems involving logarithms	Discussions Solving Demonstrating Explaining	Calculators	KLB Mathematics Book Three Pg 95-96
	6	2	Further Logarithms	Further computation using logarithms Problem solving	By the end of the lesson, the learner should be able to: Solve problems involving logarithms	Discussions Solving Demonstrating Explaining	Calculators	KLB Mathematics Book Three Pg 95-96
	6	3	Further Logarithms	Problem solving	By the end of the lesson, the learner should be able to: Solve problems involving logarithms	Discussions Solving Demonstrating Explaining	Calculators	KLB Mathematics Book Three Pg 97
	6	4	Commercial arithmetic	Simple interest Compound interest	By the end of the lesson, the learner should be able to: Calculate simple interest	Discussions Solving Demonstrating Explaining	Calculators	KLB Mathematics Book Three Pg 98-99
	6	5	Commercial arithmetic	Appreciation Depreciation	By the end of the lesson, the learner should be able to: Calculate the appreciation value of items	Discussions Solving Demonstrating Explaining	Calculators	KLB Mathematics Book Three Pg 108
	6	6	Commercial arithmetic	Hire purchase	By the end of the lesson, the learner should be able to: Find the hire purchase	Discussions Solving Demonstrating Explaining	,calculator	KLB Mathematics Book Three Pg 110-112
	6	7	Commercial arithmetic	Income tax P.A.Y.E	By the end of the lesson, the learner should be able to: Calculate the income tax	Discussions Solving Demonstrating Explaining	income tax table ,calculator Calculators s	KLB Mathematics Book Three Pg 112-114
7	1	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	Discussions Solving Demonstrating Explaining	Geometrical set,calculator Geometrical set ,calculator	KLB Mathematics Book Three Pg 124-125
	7	2	Circles: Chords and tangents	Parallel chords	By the end of the lesson, the learner should be able to: Calculate the perpendicular bisector Find the value of parallel chords	Discussions Solving Demonstrating Explaining	Geometrical set ,calculator	KLB Mathematics Book Three Pg 129-131
	7	3	Circles: Chords and tangents	Equal chords Intersecting chords	By the end of the lesson, the learner should be able to: Find the length of equal chords	Discussions Solving Demonstrating Explaining	Geometrical set ,calculator	KLB Mathematics Book Three Pg 131-132
	7	4	Circles: Chords and tangents	Intersecting chords Tangent to a circle	By the end of the lesson, the learner should be able to: Calculate the length of intersecting chords	Discussions Solving Demonstrating Explaining	Geometrical set ,calculator	KLB Mathematics Book Three Pg 135-139
	7	5	Circles: Chords and tangents	Tangent to a circle	By the end of the lesson, the learner should be able to: Calculate the length of tangent Calculate the angle between tangents	Discussions Solving Demonstrating Explaining	Geometrical set ,calculator	KLB Mathematics Book Three Pg 141-142
	7	6	Circles: Chords and tangents	Properties of tangents to a circle from an external point Tangents to two circles	By the end of the lesson, the learner should be able to: State the properties of tangents to a circle from an external point	Discussions Solving Demonstrating Explaining	Geometrical set ,calculator	KLB Mathematics Book Three Pg 142-144
	7	7	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	Discussions Solving Demonstrating Explaining	Geometrical set ,calculator	KLB Mathematics Book Three Pg 150-151
8	1	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	Discussions Solving Demonstrating Explaining	Geometrical set ,calculator	KLB Mathematics Book Three Pg 153-154
	8	2	Circles: Chords and tangents	Problem solving Angle in alternate segment	By the end of the lesson, the learner should be able to: Solve problems involving chords, tangents and contact circles	Discussions Solving Demonstrating Explaining	Geometrical set ,calculator	KLB Mathematics Book Three Pg 154-157
	8	3	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	Discussions Solving Demonstrating Explaining	Geometrical set ,calculator	KLB Mathematics Book Three Pg 160-161
	8	4	Circles: Chords and tangents	Escribed circles	By the end of the lesson, the learner should be able to: Construct escribed circles	Discussions Solving Demonstrating Explaining	Geometrical set ,calculator	KLB Mathematics Book Three Pg 165-166
	8	5	Circles: Chords and tangents	Centroid Orthocenter	By the end of the lesson, the learner should be able to: Construct centroid	Discussions Solving Demonstrating Explaining	Geometrical set ,calculator	KLB Mathematics Book Three Pg 166
	8	6	Matrices	Matrix representation and order of matrix Addition of matrix	By the end of the lesson, the learner should be able to: Represent matrix State the order of a matrix	Discussions Solving Demonstrating Explaining	Chart showing tabular data	KLB Mathematics Book Three Pg 168-170
	8	7	Matrices	Subtraction of matrices	By the end of the lesson, the learner should be able to: Subtract matrices	Discussions Solving Demonstrating Explaining	Chart showing tabular data	KLB Mathematics Book Three Pg 171
9	1	Matrices	Combined addition and subtraction of matrices Matrix multiplication	By the end of the lesson, the learner should be able to: Perform the combined operation on matrices	Discussions Solving Demonstrating Explaining	Chart showing tabular data	KLB Mathematics Book Three Pg 171-174
	9	2	Matrices	Matrix multiplication Identity matrix	By the end of the lesson, the learner should be able to: Multiply matrices	Discussions Solving Demonstrating Explaining	Chart showing tabular data	KLB Mathematics Book Three Pg 176-179
	9	3	Matrices	Determinant of a 2	By the end of the lesson, the learner should be able to: Find the determinant of a 2	Discussions Solving Demonstrating Explaining	Calculator	KLB Mathematics Book Three Pg 183
9-10	Mid term break
10	3	Matrices	Inverse of a 2	By the end of the lesson, the learner should be able to: Calculate the inverse of a 2	Discussions Solving Demonstrating Explaining	Calculators	KLB Mathematics Book Three Pg 183-185
	10	4	Matrices	Solutions of simultaneous equations by matrix method	By the end of the lesson, the learner should be able to: Solve simultaneous equations by matrix method	Discussions Solving Demonstrating Explaining	Calculators	KLB Mathematics Book Three Pg 188-190
	10	5	Matrices Formulae and variations	Problem solving Formulae	By the end of the lesson, the learner should be able to: Calculate the inverse of a matrix Solve simultaneous equations by matrix method	Discussions Solving Demonstrating Explaining	Calculators	KLB Mathematics Book Three Pg 190
	10	6	Formulae and variations	Direct variation	By the end of the lesson, the learner should be able to: Solve problems involving direct variations	Discussions Solving Demonstrating Explaining	Calculators	KLB Mathematics Book Three Pg 194-196
	10	7	Formulae and variations	Inverse variation Partial variation	By the end of the lesson, the learner should be able to: Solve problems involving inverse variations	Discussions Solving Demonstrating Explaining	Calculators	KLB Mathematics Book Three Pg 197-200
11	1	Formulae and variations	Joint variation	By the end of the lesson, the learner should be able to: Solve problems involving join variations	Discussions Solving Demonstrating Explaining	Calculators	KLB Mathematics Book Three Pg 204-205
	11	2	Sequences and series	Sequences	By the end of the lesson, the learner should be able to: Find the next terms	Discussions Solving Demonstrating Explaining		KLB Mathematics Book Three Pg 207-208
	11	3	Sequences and series	Arithmetic sequences Geometric sequence	By the end of the lesson, the learner should be able to: Find the nth term of a given arithmetic sequence	Discussions Solving Demonstrating Explaining		KLB Mathematics Book Three Pg 209-210
	11	4	Sequences and series	Arithmetic series Geometric series	By the end of the lesson, the learner should be able to: Find the nth term of a given arithmetic series	Discussions Solving Demonstrating Explaining		KLB Mathematics Book Three Pg 214-215
	11	5	Sequences and series	Geometric series	By the end of the lesson, the learner should be able to: Find the nth term of a given geometric series	Discussions Solving Demonstrating Explaining		KLB Mathematics Book Three Pg 216-219
	11	6	Vectors II	Coordinates in two dimensions Coordinates in three dimensions	By the end of the lesson, the learner should be able to: Identify the coordinates of appoint in two dimensions	Discussions Solving Demonstrating Explaining	Wire mesh in 3 dimensions	KLB Mathematics Book Three Pg 221
	11	7	Vectors II	Column vectors Position vector	By the end of the lesson, the learner should be able to: Find a displacement and represent it in column vector	Discussions Solving Demonstrating Explaining	Wire mesh in 3 dimensions	KLB Mathematics Book Three Pg 223-224
12	1	Vectors II	Unit vectors	By the end of the lesson, the learner should be able to: Express vectors in terms of unit vectors	Discussions Solving Demonstrating Explaining		KLB Mathematics Book Three Pg 226-228
	12	2	Vectors II	Unit vectors Magnitude of a vector in three dimensions	By the end of the lesson, the learner should be able to: Express vectors in terms of unit vectors	Discussions Solving Demonstrating Explaining	calculators	KLB Mathematics Book Three Pg 226-228
	12	3	Vectors II	Parallel vectors Collinear points	By the end of the lesson, the learner should be able to: Identify parallel vectors	Discussions Solving Demonstrating Explaining	Geoboard	KLB Mathematics Book Three Pg 231-232
	12	4	Vectors II	Collinear points	By the end of the lesson, the learner should be able to: Show that points are collinear	Discussions Solving Demonstrating Explaining	Geoboard	KLB Mathematics Book Three Pg 233-234
	12	5	Vectors II	Proportion division of a line	By the end of the lesson, the learner should be able to: Divide a line internally in the given ratio	Discussions Solving Demonstrating Explaining	Geoboard, calculators	KLB Mathematics Book Three Pg 237-238
	12	6	Vectors II	Proportion division of a line Ratio theorem	By the end of the lesson, the learner should be able to: Divide a line internally and externally in the given ratio	Discussions Solving Demonstrating Explaining	Geoboard, calculators	KLB Mathematics Book Three Pg 239
	12	7	Vectors II	Ratio theorem	By the end of the lesson, the learner should be able to: Find the position vector	Discussions Solving Demonstrating Explaining	Geoboard, calculators	KLB Mathematics Book Three Pg 242
13	1	Vectors II	Mid-point Ratio theorem	By the end of the lesson, the learner should be able to: Find the mid-points of the given vectors	Discussions Solving Demonstrating Explaining	Geoboard, calculators	KLB Mathematics Book Three Pg 243
	13	2	Vectors II	Ratio theorem Applications of vectors	By the end of the lesson, the learner should be able to: Use ratio theorem to find the given vectors	Discussions Solving Demonstrating Explaining	Geoboard, calculators	KLB Mathematics Book Three Pg 246-248
	13	3	Vectors II	Applications of vectors	By the end of the lesson, the learner should be able to: Use vectors to show the diagonals of a rectangle	Discussions Solving Demonstrating Explaining	Geoboard, calculators	KLB Mathematics Book Three Pg

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SCHEME OF WORK Mathematics Form 3 2025 TERM II School

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SCHEME OF WORK
Mathematics
Form 3 2025
TERM II
School