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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 1 |
Opening and Reporting to school |
|||||||
| 2 | 1 |
Trigonometry
|
Trigonometric Table
|
By the end of the
lesson, the learner
should be able to:
Use trigonometric tables to find the sine, cosine and tangent |
Reading trigonometric tables of sines, cosines and tangent
|
Mathematical table
|
KLB BK2 Pg 127, 138, 139 Discovering secondary pg 71
|
|
| 2 | 2 |
Trigonometry
|
Angles and sides of a right angled triangle
Establishing Relationship of sine and cosine of complimentary angles |
By the end of the
lesson, the learner
should be able to:
Use the sine, cosine and tangent in calculating the length of a right angled triangle and also finding the angle given two sides and unknown angle The length can be obtained if one side is given and an angle |
Using mathematical tables Finding the length using sine ratio Finding the length using Cosine and tangent ratio Finding the angle using Sine, cosine and tangent
|
Mathematical table Charts Chalkboard
Chalkboards |
KLB BK2 Pg 125, 139, 140 Discovering secondary pg
|
|
| 2 | 3 |
Trigonometry
|
Sines and cosines of Complimentary angles
Relationship between tangent, sine and cosine |
By the end of the
lesson, the learner
should be able to:
Use the relationship of sine and cosine of complimentary angles in solving problems |
Solving problems involving the sines and cosines of complimentary angles
|
Chalkboard Charts illustrating the relationship of sines and cosines of complimentary angles
Charts showing the three related trigonometric ratio |
KLB BK2 Pg 145
|
|
| 2 | 4 |
Trigonometry
|
Trigonometric ratios of special angles 30, 45, 60 and 90
Application of Trigonometric ratios in solving problems |
By the end of the
lesson, the learner
should be able to:
Determine the trigonometric ratios of special angles without using tables |
Determining the trigonometric ratios of special angles 30,45,60 and 90 without using tables
|
Charts showing isosceles right angled triangle Charts illustrating Equilateral triangle
Chalkboard |
KLB BK2 Pg 146-147
|
|
| 2 | 5 |
Trigonometry
|
Logarithms of Sines
Logarithms of cosines And tangents Reading tables of logarithms of sines, cosines and tangents |
By the end of the
lesson, the learner
should be able to:
Read the logarithms of sines |
Solving problems by reading logarithm table of sines
|
Chalkboard Mathematical tables
Chalkboard Mathematical table |
KLB BK2 Pg 149
|
|
| 2 | 6 |
Trigonometry
|
Application of trigonometry to real life situations
Area of a triangle Area of a triangle given the base and height (A = ? bh) |
By the end of the
lesson, the learner
should be able to:
Solve problems in real life using trigonometry |
Solving problems using trigonometry in real life
|
Mathematical table
Chart illustrating worked problem Chalkboard |
KLB BK2 Pg 153-154
|
|
| 2 | 7 |
Trigonometry
|
Area of a triangle using the formula (A = ? absin?)
Area of a triangle using the formula A = ?s(s-a)(s-b)(s-c) |
By the end of the
lesson, the learner
should be able to:
- Derive the formula ? absinc - Using the formula derived in calculating the area of a triangle given two sides and an included angle |
Deriving the formula ? absinc Using the formula to calculate the area of a triangle given two sides and an included angle
|
Charts illustrating a triangle with two sides and an included angle Charts showing derived formula
Charts illustrating a triangle with three sides Charts illustrating a worked example i.e. mathematical table |
KLB BK2 Pg 156
|
|
| 3 | 1 |
Trigonometry
|
Area of Quadrilateral and Polygons Area of a square, rectangle, rhombus, parallelogram and trapezium
Area of a kite |
By the end of the
lesson, the learner
should be able to:
Calculate the are of a triangle, square, rectangle, rhombus, parallelogram and trapezium |
Calculating the area of a triangle, square, rectangle, rhombus, parallelogram and trapezium
|
Charts illustrating formula used in calculating the areas of the quadrilateral
Model of a kite |
KLB BK2 Pg 161-163
|
|
| 3 | 2 |
Trigonometry
|
Area of other polygons (regular polygon) e.g. Pentagon
Area of irregular Polygon Area of part of a circle Area of a sector (minor sector and a major sector) |
By the end of the
lesson, the learner
should be able to:
Find the area of a regular polygon |
Calculating the area of a regular polygon
|
Mathematical table Charts illustrating Polygons
Charts illustrating various irregular polygons Polygonal shapes Charts illustrating sectors |
KLB BK2 Pg 164
|
|
| 3 | 3 |
Trigonometry
|
Defining a segment of a circle Finding the area of a segment of a circle
Area of a common region between two circles given the angles and the radii |
By the end of the
lesson, the learner
should be able to:
- Define what a segment of a circle is - Find the area of a segment of a circle |
Finding the area of a segment by first finding the area of a sector less the area of a smaller sector given R and r and angle ?
|
Chart illustrating a Segment
Charts illustrating common region between the circles Use of a mathematical table during calculation |
KLB BK2 Pg 169-170
|
|
| 3 | 4 |
Trigonometry
|
Area of a common region between two circles given only the radii of the two circles and a common chord
Surface area of solids Surface area of prisms Cylinder (ii) Triangular prism (iii) Hexagonal prism |
By the end of the
lesson, the learner
should be able to:
Calculate the area of common region between two circle given the radii of the two intersecting circles and the length of a common chord of the two circles |
Finding the area of a common region between two intersecting
|
Charts illustrating common region between two intersecting circles
Models of cylinder, triangular and hexagonal prisms |
KLB BK 2 Pg 176
|
|
| 3 | 5 |
Trigonometry
|
Area of a square based Pyramid
Surface area of a Rectangular based Pyramid |
By the end of the
lesson, the learner
should be able to:
Find the total surface area of a square based pyramid |
Finding the surface area of a square based pyramid
|
Models of a square based pyramid
Models of a Rectangular based pyramid |
KLB BK 2 Pg 178
|
|
| 3 | 6 |
Trigonometry
|
Surface area of a cone using the formula A = ?r2 + ?rl
Surface area of a frustrum of a cone and a pyramid Finding the surface area of a sphere |
By the end of the
lesson, the learner
should be able to:
Find the total surface area of the cone by first finding the area of the circular base and then the area of the curved surface |
Finding the area of the circular part Finding the area of the curved part Getting the total surface Area
|
Models of a cone
Models of frustrum of a cone and a pyramid Models of a sphere Charts illustrating formula for finding the surface area of a sphere |
KLB BK 2 Pg 181
|
|
| 3 | 7 |
Trigonometry
|
Surface area of a Hemispheres
Volume of Solids Volume of prism (triangular based prism) |
By the end of the
lesson, the learner
should be able to:
Find the surface area of a hemisphere |
Finding the surface area of a hemisphere
|
Models of a hemisphere
Models of a triangular based prism |
KLB BK 2 Pg 184
|
|
| 4 | 1 |
Trigonometry
|
Volume of prism (hexagonal based prism) given the sides and angle
Volume of a pyramid (square based and rectangular based) |
By the end of the
lesson, the learner
should be able to:
Find the volume of a hexagonal based prism |
Calculating the volume of an hexagonal prism
|
Models of hexagonal based prism
Models of square and Rectangular based Pyramids |
KLB BK 2 Pg 187
|
|
| 4 | 2 |
Trigonometry
|
Volume of a cone
Volume of a frustrum of a cone |
By the end of the
lesson, the learner
should be able to:
Find the volume of a cone |
Finding the volume of a cone
|
Model of a cone
Models of a frustrum of a cone |
KLB BK 2 Pg 191
|
|
| 4 | 3 |
Trigonometry
|
Volume of a frustrum of a pyramid
Volume of a sphere (v = 4/3?r3) Volume of a Hemisphere {(v = ? (4/3?r3)} |
By the end of the
lesson, the learner
should be able to:
Find the volume of a frustrum of a Pyramid |
Finding volume of a full pyramid Finding volume of cutoff pyramid Find volume of the remaining fig (frustrum) by subtracting i.e. Vf = (V ? v)
|
Models of frustrum of a pyramid
Model of a sphere Mathematical table Models of hemisphere |
KLB BK 2 Pg 194
|
|
| 4 | 4 |
Trigonometry
Trigonometric Ratios |
Application of area of triangles to real life
Tangent of an angle |
By the end of the
lesson, the learner
should be able to:
Use the knowledge of the area of triangles in solving problems in real life situation |
Solving problems in real life using the knowledge of the area of triangle
|
Mathematical table Chart illustrating formula used
Protractor Ruler Right corners Mathematical tables |
KLB BK 2 Pg 159
|
|
| 4 | 5 |
Trigonometric Ratios
|
Tangent of an angle
Using tangents in calculations |
By the end of the
lesson, the learner
should be able to:
find the tangent of an angle from tables |
Measuring lengths/angles
Dividing numbers Drawing right angles Reading mathematical tables |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 119-122
|
|
| 4 | 6 |
Trigonometric Ratios
|
Application of tangents
The sine of an angle |
By the end of the
lesson, the learner
should be able to:
work out further problems using tangents |
Measuring lengths/angles
Dividing numbers Drawing right angles Reading mathematical tables |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 119-122
|
|
| 4 | 7 |
Trigonometric Ratios
|
The cosine of an angle
Application of sine and cosine Complementary angles |
By the end of the
lesson, the learner
should be able to:
find the cosine of an angle by calculations and through tables |
Measuring lengths/angles
Dividing numbers Drawing right angles Reading mathematical tables |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 119-122
|
|
| 5 | 1 |
Trigonometric Ratios
|
Special angles
Application of Special angles |
By the end of the
lesson, the learner
should be able to:
find the sine, cos, and tan of 300,600,450,00,900, without using tables |
Measuring lengths/angles
Dividing numbers Drawing right angles Reading mathematical tables |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 119-122
|
|
| 5 | 2 |
Trigonometric Ratios
|
Logarithms of sines, cosines and tangents
Relationship between sin, cos and tan |
By the end of the
lesson, the learner
should be able to:
solve problems using logarithms of sines cosines and tangents |
Measuring lengths/angles
Dividing numbers Drawing right angles Reading mathematical tables |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 119-122
|
|
| 5 | 3 |
Trigonometric Ratios
|
Application to real life situation
Problem solving |
By the end of the
lesson, the learner
should be able to:
apply the knowledge of trigonometry to real life situations |
Measuring lengths/angles
Dividing numbers Drawing right angles Reading mathematical tables |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 119-122
|
|
| 5 | 4 |
Area of A Triangle
|
Area =
Solve problems involving = A =?s(s-a) (s-b) (s-c) |
By the end of the
lesson, the learner
should be able to:
derive the formula Area = |
Discussions
Drawing triangles Measuring lengths/angles Calculating area |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 155-157
|
|
| 5 | 5 |
Area of A Triangle
Area of Quadrilaterals |
Problem solving
Area of parallelogram |
By the end of the
lesson, the learner
should be able to:
solve problems on area of a triangle given the three sides |
Discussions
Drawing triangles Measuring lengths/angles Calculating area |
Protractor
Ruler Right corners Mathematical tables Parallelograms Trapeziums Polygons Squares/rectangles |
KLB Maths Bk2 Pg. 155-157
|
|
| 5 | 6 |
Area of Quadrilaterals
|
Area of Rhombus
Area of trapezium and kite |
By the end of the
lesson, the learner
should be able to:
find the area of a regular polygon. |
Drawing trapeziums/polygons
Measuring lengths/angles Reading mathematical tables Discussions |
Parallelograms
Trapeziums Polygons Squares/rectangles Mathematical tables |
KLB Maths Bk2 Pg. 161
|
|
| 5 | 7 |
Area of Quadrilaterals
|
Area of regular polygons
Problem solving |
By the end of the
lesson, the learner
should be able to:
find the area of a regular polygon by using the formula A= |
Drawing trapeziums/polygons
Measuring lengths/angles Reading mathematical tables Discussions |
Parallelograms
Trapeziums Polygons Squares/rectangles Mathematical tables Chalkboard illustrations Mathematical tables |
KLB Maths Bk2 Pg. 119-122
|
|
| 6 | 1 |
Area of Part of a Circle
|
Area of a sector
Area of a segment |
By the end of the
lesson, the learner
should be able to:
find area of a sector |
Drawing circles
Measuring radii/diameters Measuring angles Calculating the area of a circle Discussions |
Circles
Chart illustrating the area of a sector Chart illustrating the area of a minor segment |
KLB Maths Bk2 Pg. 167-169
|
|
| 6 | 2 |
Area of Part of a Circle
|
Common region between two circles
Common region between two circles Problem solving |
By the end of the
lesson, the learner
should be able to:
find the area of the common region between two circles. |
Drawing circles
Measuring radii/diameters Measuring angles Calculating the area of a circle Discussions |
Circles
Chart illustrating the area of a minor segment Chart illustrating the area of a minor segment Chalkboard illustrations |
KLB Maths Bk2 Pg. 167-169
|
|
| 6 | 3 |
Surface Area of Solids
|
Surface area of prisms
Surface area of pyramid |
By the end of the
lesson, the learner
should be able to:
find the surface area of a prism. |
Drawing prisms
Measuring lengths Opening prisms to form nets Discussions Calculating area |
Prism Chalkboard illustrations
Pyramids with square base, rectangular base, triangular base |
KLB Maths Bk2 Pg. 177
|
|
| 6 | 4 |
Surface Area of Solids
|
Surface area of a cone
Surface area of frustrum with circular base |
By the end of the
lesson, the learner
should be able to:
find the surface area of a cone |
Drawing cones/frustums
Making cones/frustums Measuring lengths/ angles Discussions |
Cone
Chart illustrating the surface area of a frustrum |
KLB Maths Bk2 Pg. 180
KLBMathematics Bk2 Discovering Secondary Mathematics Bk2 |
|
| 6 | 5 |
Surface Area of Solids
|
Surface area of frustrum with square base
Surface area of frustrum with rectangular base |
By the end of the
lesson, the learner
should be able to:
find the surface area of frustrum with square base |
Drawing cones/frustums
Making cones/frustums Measuring lengths/ angles Discussions Learners find the surface area |
Chart illustrating frustrum with a square base
Chart illustrating frustrum with a rectangular base |
KLB Maths Bk2 Pg. 181-183
|
|
| 6 | 6 |
Surface Area of Solids
Volume of Solids |
Surface area of spheres
Problem solving Volume of prism |
By the end of the
lesson, the learner
should be able to:
find the surface area of a sphere |
Sketching spheres
Making spheres Measuring diameters/ radii of spheres Discussions |
Chalkboard illustrations
Past paper questions Prism |
KLB Maths Bk2 Pg. 183
|
|
| 6 | 7 |
Volume of Solids
|
Volume of pyramid
Volume of a cone |
By the end of the
lesson, the learner
should be able to:
find the volume of a pyramid |
Drawing pyramids
Making pyramids Opening pyramids to form nets Discussions |
Pyramid
Cone |
KLB Maths Bk2 Pg. 189-190
|
|
| 7 |
MID-TERM EXAM |
|||||||
| 8 | 1 |
Volume of Solids
|
Volume of a sphere
Volume of frustrum |
By the end of the
lesson, the learner
should be able to:
find the volume of a sphere |
Identifying spheres
Sketching spheres Measuring radii/ diameters Discussions |
Sphere
Frustrum with circular base |
KLB Maths Bk2 Pg. 195
|
|
| 8 | 2 |
Volume of Solids
|
Volume of frustrum with a square base
Volume of frustrum with a rectangular base |
By the end of the
lesson, the learner
should be able to:
find the volume of a frustrum with a square base |
Making cones/frustums
Opening cones/frustums to form nets |
Frustrum with square base
Frustrum with rectangular base |
KLB Maths Bk2 Pg. 192-193
|
|
| 8 | 3 |
Volume of Solids
Quadratic Expressions and Equations |
Application to real life situation
Problem solving Expansion of Algebraic Expressions |
By the end of the
lesson, the learner
should be able to:
apply the knowledge of volume of solids to real life situations. |
Making cones/frustums
Opening cones/frustums to form nets |
Models of pyramids, prism, cones and spheres
Past paper questions Real-life experiences Worked out expressions |
KLB Maths Bk2 Pg. 193-194
|
|
| 8 | 4 |
Quadratic Expressions and Equations
|
Quadratic identities
Application of identities |
By the end of the
lesson, the learner
should be able to:
derive the three Algebraic identities |
Discussions
Multiplying numbers Dividing numbers Adding numbers Subtracting numbers Exercises |
Real-life experiences
Worked out expressions |
KLB Maths Bk2 Pg. 204-205
|
|
| 8 | 5 |
Quadratic Expressions and Equations
|
Factorise the Identities
Factorise other quadratic expressions |
By the end of the
lesson, the learner
should be able to:
factorise the identities |
Discussions
Multiplying numbers Dividing numbers Adding numbers Subtracting numbers Exercises |
Real-life experiences
Worked out expressions Chart illustrating factorization of a quadratic expression |
KLB Maths Bk2 Pg. 205-208
|
|
| 8 | 6 |
Quadratic Expressions and Equations
|
Factorisation of expressions of the form k2-9y2
Simplification of an expression by factorisation |
By the end of the
lesson, the learner
should be able to:
factorise a difference of two squares |
Discussions
Multiplying numbers Dividing numbers Adding numbers Subtracting numbers Exercises |
Real-life experiences
Worked out expressions |
KLB Maths Bk2 Pg. 205-208
|
|
| 8 | 7 |
Quadratic Expressions and Equations
|
Solving quadratic equations
The formation of quadratic equations Formation and solving of quadratic equations from word problems |
By the end of the
lesson, the learner
should be able to:
solve quadratic equations |
Discussions
Multiplying numbers Dividing numbers Adding numbers Subtracting numbers Exercises |
Real-life experiences
Worked out expressions |
KLB Maths Bk2 Pg. 208
|
|
| 9 |
MID-TERM BREAK |
|||||||
| 10 | 1 |
Quadratic Expressions and Equations
|
Solving on quadratic equations
Forming quadratic equations from the roots |
By the end of the
lesson, the learner
should be able to:
solve problems on quadratic equations |
Discussions
Multiplying numbers Dividing numbers Adding numbers Subtracting numbers Exercises |
Real-life experiences
Worked out expressions |
KLB Maths Bk2 Pg. 208-210
|
|
| 10 | 2 |
Linear Inequalities
|
Inequalities symbols
Number line |
By the end of the
lesson, the learner
should be able to:
identify and use inequality symbols |
Drawing graphs of
inequalities Determining the scale of a graph Shading unwanted regions Discussions |
Number lines
Graph papers Square boards Negative and positive numbers Negative and positive numbers |
KLB Maths Bk2 Pg. 213-224
|
|
| 10 | 3 |
Linear Inequalities
|
Inequalities in one unknown
Graphical representation |
By the end of the
lesson, the learner
should be able to:
solve linear inequalities in one unknown and state the integral values |
Drawing graphs of
inequalities Determining the scale of a graph Shading unwanted regions Discussions |
Number lines
Graph papers Square boards Negative and positive numbers Number lines Graph papers |
KLB Maths Bk2 Pg. 213-224
|
|
| 10 | 4 |
Linear Inequalities
|
Graphical solutions of simultaneous linear inequalities
Area of the wanted region |
By the end of the
lesson, the learner
should be able to:
solve the linear inequalities in two unknowns graphically |
Drawing graphs of
inequalities Determining the scale of a graph Shading unwanted regions Discussions |
Number lines
Graph papers Square boards Negative and positive numbers |
KLB Maths Bk2 Pg. 213-224
|
|
| 10 | 5 |
Linear Inequalities
|
Inequalities from inequality graphs
Problem solving. |
By the end of the
lesson, the learner
should be able to:
form simple linear inequalities from inequality graphs |
Drawing graphs of
inequalities Determining the scale of a graph Shading unwanted regions Discussions |
Number lines
Graph papers Square boards Negative and positive numbers |
KLB Maths Bk2 Pg. 213-224
|
|
| 10 | 6 |
Linear Motion
|
Displacement, velocity, speed and acceleration
Distinguishing terms |
By the end of the
lesson, the learner
should be able to:
Define displacement, speed velocity and acceleration |
Teacher/pupil discussion
Plotting graphs Drawing graphs |
Graph papers
Stones Pieces of paper |
KLB Maths Bk2 Pg. 228-238
|
|
| 10 | 7 |
Linear Motion
|
Distinguishing velocity and acceleration
Distance time graphs |
By the end of the
lesson, the learner
should be able to:
determine velocity and acceleration |
Learners determine velocity and acceleration
Plotting graphs Drawing graphs |
Graph papers
Stones Pieces of paper |
KLB Maths Bk2 Pg. 228-238
|
|
| 11 | 1 |
Linear Motion
|
Interpret the velocity time graph
Interpreting graphs Relative speed (objects moving in the same direction) |
By the end of the
lesson, the learner
should be able to:
interpret a velocity time graph |
Learners interpret a velocity time graph
|
Drawn graphs
Real life situation Chalkboard illustrations |
KLB
Maths Bk2 Pg.333 |
|
| 11 | 2 |
Linear Motion
Statistics |
Problem solving
Definition |
By the end of the
lesson, the learner
should be able to:
solve problems on linear motion |
Question answer method
|
Past paper questions
Weighing balance Ruler Tape measure Pieces of stick Arm length Foot length Graph papers |
KLB
Maths Bk2 Pg.330 |
|
| 11 | 3 |
Statistics
|
Collection and organization of data
Frequency tables |
By the end of the
lesson, the learner
should be able to:
collect and organize data |
Collecting data
Measuring length/mass/age Drawing graphs Drawing tables Using symbols to represent data Discussion |
Weighing balance
Ruler Tape measure Pieces of stick Arm length Foot length Graph papers |
KLB Maths Bk2 Pg. 241-252
|
|
| 11 | 4 |
Statistics
|
Grouped data
Mean of ungrouped data |
By the end of the
lesson, the learner
should be able to:
group data into reasonable classes |
Collecting data
Measuring length/mass/age Drawing graphs Drawing tables Using symbols to represent data Discussion |
Weighing balance
Ruler Tape measure Pieces of stick Arm length Foot length Graph papers |
KLB Maths Bk2 Pg. 241-252
|
|
| 11 | 5 |
Statistics
|
Median of ungrouped data
Mean of ungrouped data Median of a grouped data modal class |
By the end of the
lesson, the learner
should be able to:
calculate the median of ungrouped data and state the mode |
Collecting data
Measuring length/mass/age Drawing graphs Drawing tables Using symbols to represent data Discussion |
Weighing balance
Ruler Tape measure Pieces of stick Arm length Foot length Graph papers |
KLB Maths Bk2 Pg. 241-252
|
|
| 11 | 6 |
Statistics
|
Data
Representation.
Line graphs
Bar graphs |
By the end of the
lesson, the learner
should be able to:
represent data in form of a line graph |
Collecting data
Measuring length/mass/age Drawing graphs Drawing tables Using symbols to represent data Discussion |
Weighing balance
Ruler Tape measure Pieces of stick Arm length Foot length Graph papers |
KLB Maths Bk2 Pg. 241-252
|
|
| 11 | 7 |
Statistics
|
Pictogram
Histograms |
By the end of the
lesson, the learner
should be able to:
represent data in form of pictures |
Collecting data
Measuring length/mass/age Drawing graphs Drawing tables Using symbols to represent data Discussion |
Pictures which are whole, half, quarter
Weighing balance Ruler Tape measure Pieces of stick Arm length Foot length Graph papers |
KLB Maths Bk2 Pg. 241-252
|
|
| 12 | 1 |
Statistics
|
Frequency polygons
Histograms with uneven distribution Interpretation of data Problem solving |
By the end of the
lesson, the learner
should be able to:
represent data in form of frequency polygons |
Collecting data
Measuring length/mass/age Drawing graphs Drawing tables Using symbols to represent data Discussion |
Histograms drawn. Data
Data with uneven classes Real life situations Past paper questions |
KLB Maths Bk2 Pg. 241-252
|
|
| 12-14 |
END-TERM EXAMS |
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