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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 2 | 1-2 |
Trigonometry
|
Pythagoras Theorem
Solutions of problems Using Pythagoras Theorem Application to real life Situation |
By the end of the
lesson, the learner
should be able to:
Derive Pythagoras Theorem Solve problems using Pythagoras Theorem |
Deriving Pythagoras Theorem
Solving problems using Pythagoras theorem |
Chalkboard Charts Illustrating derived theorem
Charts illustrating Pythagoras theorem Mathematical table |
KLB BK2 Pg 120 Discovering secondary pg 67
KLB BK2 Pg 121 Discovering secondary pg 67 |
|
| 2 | 3 |
Trigonometry
|
Trigonometry Tangent, sine and cosines
Trigonometric Table Angles and sides of a right angled triangle |
By the end of the
lesson, the learner
should be able to:
Define tangent, sine and cosine ratios from a right angles triangle |
Defining what a tangent, Cosine and sine are using a right angled triangle
|
Charts illustrating tangent, sine and cosine
Mathematical table Mathematical table Charts Chalkboard |
KLB BK2 Pg 123,132,133 Discovering secondary pg 70
|
|
| 2 | 4 |
Trigonometry
|
Establishing Relationship of sine and cosine of complimentary angles
Sines and cosines of Complimentary angles |
By the end of the
lesson, the learner
should be able to:
Establish the relationship of sine and cosine of complimentary angles |
Using established relationship to solve problems
|
Chalkboards
Chalkboard Charts illustrating the relationship of sines and cosines of complimentary angles |
KLB BK2 Pg 145
|
|
| 2 | 5 |
Trigonometry
|
Relationship between tangent, sine and cosine
Trigonometric ratios of special angles 30, 45, 60 and 90 |
By the end of the
lesson, the learner
should be able to:
Relate the three trigonometric ratios, the sine, cosine and tangent |
Relating the three trigonometric ratios
|
Charts showing the three related trigonometric ratio
Charts showing isosceles right angled triangle Charts illustrating Equilateral triangle |
KLB BK2 Pg 145
|
|
| 2 | 6 |
Trigonometry
|
Application of Trigonometric ratios in solving problems
Logarithms of Sines Logarithms of cosines And tangents |
By the end of the
lesson, the learner
should be able to:
Solve trigonometric problems without using tables |
Solving trigonometric problems of special angles
|
Chalkboard
Chalkboard Mathematical tables Chalkboard Mathematical table |
KLB BK2 Pg 148
|
|
| 3 | 1-2 |
Trigonometry
|
Reading tables of logarithms of sines, cosines and tangents
Application of trigonometry to real life situations Area of a triangle Area of a triangle given the base and height (A = ? bh) 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:
Read the logarithms of sines, cosines and tangents from tables Calculate the are of a triangle given the base and height |
Solving problems through reading the table of logarithm of sines, cosines and tangents
Calculating the area of a triangle given the base and height |
Chalkboard Mathematical table
Mathematical table Chart illustrating worked problem Chalkboard 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 149-152
KLB BK2 Pg 155 |
|
| 3 | 3 |
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 | 4 |
Trigonometry
|
Area of other polygons (regular polygon) e.g. Pentagon
Area of irregular Polygon |
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 |
KLB BK2 Pg 164
|
|
| 3 | 5 |
Trigonometry
|
Area of part of a circle Area of a sector (minor sector and a major sector)
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:
- Find the area of a sector given the angle and the radius of a minor sector Calculate the area of a major sector of a circle |
Finding the area of a minor and a major sector of a circle
|
Charts illustrating sectors
Chart illustrating a Segment Charts illustrating common region between the circles Use of a mathematical table during calculation |
KLB BK 2 Pg 167
|
|
| 3 | 6 |
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
|
|
| 4 | 1-2 |
Trigonometry
|
Area of a square based Pyramid
Surface area of a Rectangular based Pyramid 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 a square based pyramid Find the surface area of a frustrum of a cone and pyramid |
Finding the surface area of a square based pyramid
Finding the surface area of a frustrum of a cone and a pyramid |
Models of a square based pyramid
Models of a Rectangular based pyramid 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 178
KLB BK 2 Pg 182 |
|
| 4 | 3 |
Trigonometry
|
Surface area of a Hemispheres
Volume of Solids Volume of prism (triangular based prism) Volume of prism (hexagonal based prism) given the sides and angle |
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 Models of hexagonal based prism |
KLB BK 2 Pg 184
|
|
| 4 | 4 |
Trigonometry
|
Volume of a pyramid (square based and rectangular based)
Volume of a cone |
By the end of the
lesson, the learner
should be able to:
Find the volume of a square based pyramid and rectangular based pyramid |
Finding the surface area of the base Applying the formula V=?x base area x height to get the volume of the pyramids (square and rectangular based)
|
Models of square and Rectangular based Pyramids
Model of a cone |
KLB BK 2 Pg 189-190
|
|
| 4 | 5 |
Trigonometry
|
Volume of a frustrum of a cone
Volume of a frustrum of a pyramid |
By the end of the
lesson, the learner
should be able to:
Find the volume of a frustrum of a cone |
Finding the volume of a full cone before its cutoff Finding the volume of a cut cone then subtracting
|
Models of a frustrum of a cone
Models of frustrum of a pyramid |
KLB BK 2 Pg 192
|
|
| 4 | 6 |
Trigonometry
|
Volume of a sphere (v = 4/3?r3)
Volume of a Hemisphere {(v = ? (4/3?r3)} Application of area of triangles to real life |
By the end of the
lesson, the learner
should be able to:
Find the volume of sphere given the radius of the sphere |
Finding the volume of a Sphere
|
Model of a sphere Mathematical table
Models of hemisphere Mathematical table Chart illustrating formula used |
KLB BK 2 Pg 195
|
|
| 5 | 1-2 |
Trigonometric Ratios
|
Tangent of an angle
Using tangents in calculations Application of tangents The sine of an angle |
By the end of the
lesson, the learner
should be able to:
name the sides of a right-angled triangle as opposite, adjacent and hypotenuse. Find the tangent of an angle by calculation calculate the size of an angle given two sides and 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
|
|
| 5 | 3 |
Trigonometric Ratios
|
The cosine of an angle
Application of sine and cosine |
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 | 4 |
Trigonometric Ratios
|
Complementary angles
Special angles Application of Special angles |
By the end of the
lesson, the learner
should be able to:
define complementary angles. Work out sines of an angle given the cosine of its complimentary and vice versa |
Measuring lengths/angles
Dividing numbers Drawing right angles Reading mathematical tables |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 119-122
|
|
| 5 | 5 |
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 | 6 |
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
|
|
| 6 | 1-2 |
Area of A Triangle
Area of A Triangle Area of Quadrilaterals |
Area =
Solve problems involving = A =?s(s-a) (s-b) (s-c) Problem solving Area of parallelogram |
By the end of the
lesson, the learner
should be able to:
derive the formula Area = 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 Protractor Ruler Right corners Mathematical tables Parallelograms Trapeziums Polygons Squares/rectangles |
KLB Maths Bk2 Pg. 155-157
|
|
| 6 | 3 |
Area of Quadrilaterals
|
Area of Rhombus
Area of trapezium and kite Area of regular polygons |
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 Mathematical tables Chalkboard illustrations |
KLB Maths Bk2 Pg. 161
|
|
| 6 | 4 |
Area of Quadrilaterals
Area of Part of a Circle |
Problem solving
Area of a sector |
By the end of the
lesson, the learner
should be able to:
solve problems on area of quadrilaterals and other polygons |
Learners solve problems
|
Parallelograms
Trapeziums Polygons Squares/rectangles Mathematical tables Circles Chart illustrating the area of a sector |
KLB Maths Bk2 Pg. 165-166
|
|
| 6 | 5 |
Area of Part of a Circle
|
Area of a segment
Common region between two circles |
By the end of the
lesson, the learner
should be able to:
find area of a segment |
Drawing circles
Measuring radii/diameters Measuring angles Calculating the area of a circle Discussions |
Circles
Chart illustrating the area of a minor segment |
KLB Maths Bk2 Pg. 167-169
|
|
| 6 | 6 |
Area of Part of a Circle
Surface Area of Solids |
Common region between two circles
Problem solving Surface area of prisms |
By the end of the
lesson, the learner
should be able to:
find the area of the common region between two circles and solve problems related to that |
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 Prism Chalkboard illustrations |
KLB Maths Bk2 Pg. 167-169
|
|
| 7 | 1-2 |
Surface Area of Solids
|
Surface area of pyramid
Surface area of a cone Surface area of frustrum with circular base 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 a pyramid find the surface area of frustrum with circular base |
Drawing pyramids
Measuring lengths/ angles Opening pyramids to form nets Discussions Calculating area Drawing cones/frustums Making cones/frustums Measuring lengths/ angles Discussions |
Pyramids with square base, rectangular base, triangular base
Cone Chart illustrating the surface area of a frustrum Chart illustrating frustrum with a square base Chart illustrating frustrum with a rectangular base |
KLB Maths Bk2 Pg. 178
KLB Maths Bk2 Pg. 181-283 KLBMathematics Bk2 Discovering Secondary Mathematics Bk2 |
|
| 7 | 3 |
Surface Area of Solids
|
Surface area of spheres
Problem solving |
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 |
KLB Maths Bk2 Pg. 183
|
|
| 7 | 4 |
Volume of Solids
|
Volume of prism
Volume of pyramid Volume of a cone |
By the end of the
lesson, the learner
should be able to:
find the volume of a prism |
Identifying prisms
Identifying the cross-sectional area Drawing/sketching prisms |
Prism
Pyramid Cone |
KLB Maths Bk2 Pg. 186-188
|
|
| 7 | 5 |
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
|
|
| 7 | 6 |
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 | 1-2 |
Volume of Solids
Quadratic Expressions and Equations |
Application to real life situation
Problem solving Expansion of Algebraic Expressions Quadratic identities Application of identities |
By the end of the
lesson, the learner
should be able to:
apply the knowledge of volume of solids to real life situations. derive the three Algebraic identities |
Making cones/frustums
Opening cones/frustums to form nets Discussions Multiplying numbers Dividing numbers Adding numbers Subtracting numbers Exercises |
Models of pyramids, prism, cones and spheres
Past paper questions Real-life experiences Worked out expressions |
KLB Maths Bk2 Pg. 193-194
KLB Maths Bk2 Pg. 204-205 |
|
| 8 | 3 |
Quadratic Expressions and Equations
|
Factorise the Identities
Factorise other quadratic expressions Factorisation of expressions of the form k2-9y2 |
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 | 4 |
Quadratic Expressions and Equations
|
Simplification of an expression by factorisation
Solving quadratic equations |
By the end of the
lesson, the learner
should be able to:
simplify a quadratic expression by factorisation |
Discussions
Multiplying numbers Dividing numbers Adding numbers Subtracting numbers Exercises |
Real-life experiences
Worked out expressions |
KLB Maths Bk2 Pg. 205-208
|
|
| 8-9 |
Midterm, Exams |
|||||||
| 9 | 3 |
Quadratic Expressions and 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:
form quadratic equations from information |
Discussions
Multiplying numbers Dividing numbers Adding numbers Subtracting numbers Exercises |
Real-life experiences
Worked out expressions |
KLB Maths Bk2 Pg. 208
|
|
| 9 | 4 |
Quadratic Expressions and Equations
Linear Inequalities |
Solving on quadratic equations
Forming quadratic equations from the roots Inequalities symbols |
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 Number lines Graph papers Square boards Negative and positive numbers |
KLB Maths Bk2 Pg. 208-210
|
|
| 9 | 5 |
Linear Inequalities
|
Number line
Inequalities in one unknown |
By the end of the
lesson, the learner
should be able to:
illustrate inequalities on a number line |
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
|
|
| 9 | 6 |
Linear Inequalities
|
Graphical representation
Graphical solutions of simultaneous linear inequalities Graphical solutions of simultaneous linear inequalities |
By the end of the
lesson, the learner
should be able to:
represent linear inequalities in one unknown 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 Number lines Graph papers |
KLB Maths Bk2 Pg. 213-224
|
|
| 10 | 1-2 |
Linear Inequalities
Linear Inequalities Linear Motion Linear Motion |
Area of the wanted region
Inequalities from inequality graphs Problem solving. Displacement, velocity, speed and acceleration Distinguishing terms |
By the end of the
lesson, the learner
should be able to:
calculate the area of the wanted region solve problems on linear inequalities |
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 Square boards Negative and positive numbers Stones Pieces of paper |
KLB Maths Bk2 Pg. 213-224
|
|
| 10 | 3 |
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
|
|
| 10 | 4 |
Linear Motion
|
Interpret the velocity time graph
Interpreting graphs |
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
|
KLB
Maths Bk2 Pg.333 |
|
| 10 | 5 |
Linear Motion
Statistics |
Relative speed (objects moving in the same direction)
Problem solving Definition |
By the end of the
lesson, the learner
should be able to:
solve problems on objects moving in different directions |
Teacher/pupil discussion
|
Real life situation
Chalkboard illustrations Past paper questions Weighing balance Ruler Tape measure Pieces of stick Arm length Foot length Graph papers |
KLB
Maths Bk2 Pg.329 |
|
| 10 | 6 |
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 | 1-2 |
Statistics
|
Grouped data
Mean of ungrouped data 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:
group data into reasonable classes calculate the mean of a grouped 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 | 3 |
Statistics
|
Data
Representation.
Line graphs
Bar graphs Pictogram |
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 Pictures which are whole, half, quarter |
KLB Maths Bk2 Pg. 241-252
|
|
| 11 | 4 |
Statistics
|
Histograms
Frequency polygons |
By the end of the
lesson, the learner
should be able to:
represent data in form of histograms |
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 Histograms drawn. Data |
KLB Maths Bk2 Pg. 241-252
|
|
| 11 | 5 |
Statistics
|
Histograms with uneven distribution
Interpretation of data |
By the end of the
lesson, the learner
should be able to:
draw histograms with uneven distribution |
Collecting data
Measuring length/mass/age Drawing graphs Drawing tables Using symbols to represent data Discussion |
Data with uneven classes
Real life situations |
KLB Maths Bk2 Pg. 241-252
|
|
| 11 | 6 |
Statistics
Angle Properties of a Circle Angle Properties of a Circle |
Problem solving
Arc chord segment Angles subtended by the same arc in the same segment |
By the end of the
lesson, the learner
should be able to:
solve problems on statistics |
Problem solving
|
Past paper questions
Chart illustrating arc chord and segment Chart illustrating Angles subtended by the same arc in same segment are equal |
KLB Maths Bk2 Pg. 241-252
|
|
| 12 | 1-2 |
Angle Properties of a Circle
|
Angle at the centre and at the circumference
Angles subtended by the diameter at the circumference Cyclic quadrilateral Exterior angle property |
By the end of the
lesson, the learner
should be able to:
relate and compute angle subtended by an arc of a centre and at the circumference state the angle properties of a cyclic quadrilateral |
Discussions
Drawing circles Measuring radii/diameters/angles Identifying the parts of a circle |
Chart illustrating Angles subtended at the centre by an arc and one subtended at the circumference
Circles showing the different parts |
KLB Maths Bk2 Pg. 264-278
|
|
| 12 | 3 |
Angle Properties of a Circle
|
Problem solving
Problem solving |
By the end of the
lesson, the learner
should be able to:
solve problems on angle properties of a circle |
Discussions
Drawing circles Measuring radii/diameters/angles Identifying the parts of a circle |
Circles showing the
different parts Past paper questions different parts Past paper questions |
KLB Maths Bk2 Pg. 264-278
|
|
| 12 | 4 |
Vectors
|
Definition and Representation of vectors
Equivalent vectors |
By the end of the
lesson, the learner
should be able to:
define a vector and a scalar, use vector notation and represent vectors. |
Writing position vectors
Adding/subtracting numbers Squaring and getting the square root of numbers |
1x2 matrices
Graph papers Square boards Ruler |
KLB Maths Bk2 Pg. 284-285
|
|
| 12 | 5 |
Vectors
|
Addition of vectors
Multiplication of vectors Position vectors |
By the end of the
lesson, the learner
should be able to:
add vectors |
Writing position vectors
Adding/subtracting numbers Squaring and getting the square root of numbers |
1x2 matrices
Graph papers Square boards Ruler |
KLB Maths Bk2 Pg. 286-289
|
|
| 12 | 6 |
Vectors
|
Column vector
Magnitude of a vector Mid - point Translation vector |
By the end of the
lesson, the learner
should be able to:
write a vector as a column vector |
Writing position vectors
Adding/subtracting numbers Squaring and getting the square root of numbers |
1x2 matrices
Graph papers Square boards Ruler |
KLB Maths Bk2 Pg. 296-297
|
|
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