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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 2 | 1 |
Cube and cube roots
|
Cubes
|
By the end of the
lesson, the learner
should be able to:
Find cubes of numbers |
Defining
Discussions Solving problem Explaining |
Sets
Books Videos Charts |
KLB Mathematics
Book Two Pg 1 discovering secondary pg 1 |
|
| 2 | 2 |
Cube and cube roots
Reciprocals Reciprocals |
Use of tables to find cubes
Cube roots using factor method Reciprocal of numbers by division Reciprocal of number from tables |
By the end of the
lesson, the learner
should be able to:
Use tables to find the cube of numbers |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts Sets |
KLB Mathematics
Book Two Pg 1-2 discovering secondary pg 2 |
|
| 2 | 3 |
Indices and Logarithms
|
Indices
Negative indices Fractional indices Logarithms |
By the end of the
lesson, the learner
should be able to:
State the laws of indices |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 7-8 discovering secondary pg 10 |
|
| 2 | 4 |
Indices and Logarithms
|
Standard form
Powers of 10 and common logarithms Logarithms of positive numbers less than 1 |
By the end of the
lesson, the learner
should be able to:
Write standard form of numbers |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts Sets |
KLB Mathematics
Book Two Pg 15 discovering secondary pg 13 |
|
| 2 | 5 |
Indices and Logarithms
|
Antilogarithms
Applications of logarithms Roots Roots |
By the end of the
lesson, the learner
should be able to:
Find the antilogarithms of numbers |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 19-20 discovering secondary pg 17 |
|
| 2 | 6 |
Gradient and equations of straight lines
|
Gradient
Equation of a line Linear equation y=mx+c |
By the end of the
lesson, the learner
should be able to:
Find gradient of straight line |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 27-29 discovering secondary pg23 |
|
| 3 | 1 |
Gradient and equations of straight lines
|
The y-intercept
The graph of a straight line Perpendicular lines |
By the end of the
lesson, the learner
should be able to:
Find the y-intercept |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts Sets |
KLB Mathematics
Book Two Pg 36-37 Discovering secondary pg 27 |
|
| 3 | 2 |
Gradient and equations of straight lines
Reflection and congruence Reflection and congruence Reflection and congruence |
Parallel lines
Symmetry Reflection Some general deductions using reflection |
By the end of the
lesson, the learner
should be able to:
Determine the equation of parallel lines |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts Sets |
KLB Mathematics
Book Two Pg 43-44 discovering secondary pg 29 |
|
| 3 | 3 |
Reflection and congruence
|
Some general deductions using reflection
Congruence Congruent triangles |
By the end of the
lesson, the learner
should be able to:
Deduce some general rules of reflection |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 57-59 Discovering secondary pg 37 |
|
| 3 | 4 |
Reflection and congruence
Trigonometry Trigonometry |
Congruent triangles
The ambiguous case Pythagoras Theorem Solutions of problems Using Pythagoras Theorem |
By the end of the
lesson, the learner
should be able to:
Determine the congruent triangles |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts Chalkboard Charts Illustrating derived theorem Charts illustrating Pythagoras theorem |
KLB Mathematics
Book Two Pg 65-66 Discovering secondary pg 40 |
|
| 3 | 5 |
Trigonometry
|
Application to real life Situation
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:
Use the formula A = ?s(s-a)(s-b)(s-c) to solve problems in real life |
Solving problems in real life using the formula A = ?s(s-a)(s-b)(s-c)
|
Mathematical table
Charts illustrating tangent, sine and cosine Mathematical table Charts Chalkboard |
KLB BK2 Pg 159 Discovering secondary pg 67
|
|
| 3 | 6 |
Trigonometry
|
Establishing Relationship of sine and cosine of complimentary angles
Sines and cosines of Complimentary angles Relationship between tangent, sine and cosine |
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 Charts showing the three related trigonometric ratio |
KLB BK2 Pg 145
|
|
| 4 | 1 |
Trigonometry
|
Trigonometric ratios of special angles 30, 45, 60 and 90
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:
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 Chalkboard Mathematical tables Chalkboard Mathematical table |
KLB BK2 Pg 146-147
|
|
| 4 | 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?) |
By the end of the
lesson, the learner
should be able to:
Read the logarithms of sines, cosines and tangents from tables |
Solving problems through reading the table of logarithm of sines, cosines and tangents
|
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 |
KLB BK2 Pg 149-152
|
|
| 4 | 3 |
Trigonometry
|
Area of a triangle using the formula A = ?s(s-a)(s-b)(s-c)
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:
Solve problems on the area of a triangle Given three sizes using the formula A = ?s(s-a)(s-b)(s-c) |
Solving problems on the area of triangle given three sides of a triangle
|
Charts illustrating a triangle with three sides Charts illustrating a worked example i.e. mathematical table
Charts illustrating formula used in calculating the areas of the quadrilateral Model of a kite |
KLB BK2 Pg 157-158
|
|
| 4 | 4 |
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) Defining a segment of a circle Finding the area of a segment of a circle |
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 Chart illustrating a Segment |
KLB BK2 Pg 164
|
|
| 4 | 5 |
Trigonometry
|
Area of a common region between two circles given the angles and the radii
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 Area of a square based Pyramid |
By the end of the
lesson, the learner
should be able to:
Find the area of common region between two circles given the angles ? Education Plus Agencies |
Calculating the area of a segment
|
Charts illustrating common region between the circles Use of a mathematical table during calculation
Charts illustrating common region between two intersecting circles Models of cylinder, triangular and hexagonal prisms Models of a square based pyramid |
KLB BK 2 Pg 175
|
|
| 4 | 6 |
Trigonometry
|
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 |
By the end of the
lesson, the learner
should be able to:
Find the surface area of a rectangular based pyramid |
Finding the surface area of a rectangular based pyramid
|
Models of a Rectangular based pyramid
Models of a cone Models of frustrum of a cone and a pyramid |
KLB BK 2 Pg 179-180
|
|
| 5 | 1 |
Trigonometry
|
Finding the surface area of a sphere
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 sphere given the radius of a sphere |
Finding the surface area of a sphere
|
Models of a sphere Charts illustrating formula for finding the surface area of a sphere
Models of a hemisphere Models of a triangular based prism Models of hexagonal based prism |
KLB BK 2 Pg 183
|
|
| 5 | 2 |
Trigonometry
|
Volume of a pyramid (square based and rectangular based)
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 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 Models of a frustrum of a cone |
KLB BK 2 Pg 189-190
|
|
| 5 |
Exam 1 |
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| 6 | 1 |
Trigonometry
|
Volume of a frustrum of a pyramid
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 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 Mathematical table Chart illustrating formula used |
KLB BK 2 Pg 194
|
|
| 6 | 2 |
Trigonometric Ratios
|
Tangent of an angle
Using tangents in calculations Application of tangents |
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 |
Measuring lengths/angles
Dividing numbers Drawing right angles Reading mathematical tables |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 119-122
|
|
| 6 | 3 |
Trigonometric Ratios
|
The sine of an angle
The cosine of an angle Application of sine and cosine |
By the end of the
lesson, the learner
should be able to:
find the sine 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
|
|
| 6 | 4 |
Trigonometric Ratios
|
Complementary angles
Special angles Application of Special angles Logarithms of sines, cosines and tangents |
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
|
|
| 6 | 5 |
Trigonometric Ratios
Area of A Triangle |
Relationship between sin, cos and tan
Application to real life situation Problem solving Area = |
By the end of the
lesson, the learner
should be able to:
relate sin, cos and tan that is tan?=sin? cos? Solve problems using the relationship |
Measuring lengths/angles
Dividing numbers Drawing right angles Reading mathematical tables |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 119-122
|
|
| 6 | 6 |
Area of A Triangle
|
Solve problems involving =
A =?s(s-a) (s-b) (s-c) Problem solving |
By the end of the
lesson, the learner
should be able to:
solve problems involving area of triangles using the formula Area = |
Discussions
Drawing triangles Measuring lengths/angles Calculating area |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 155-157
|
|
| 7 | 1 |
Area of Quadrilaterals
|
Area of parallelogram
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 quadrilaterals like trapeziums, parallelogram etc. by dividing the shape of triangles |
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. 160
|
|
| 7 | 2 |
Area of Quadrilaterals
Area of Part of a Circle Area of Part of a Circle Area of Part of a Circle |
Problem solving
Area of a sector Area of a segment Common region between two circles |
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 Chart illustrating the area of a minor segment |
KLB Maths Bk2 Pg. 165-166
|
|
| 7 | 3 |
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 | 4 |
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 |
By the end of the
lesson, the learner
should be able to:
find the surface area of a pyramid |
Drawing pyramids
Measuring lengths/ angles Opening pyramids to form nets Discussions Calculating area |
Pyramids with square base, rectangular base, triangular base
Cone Chart illustrating the surface area of a frustrum Chart illustrating frustrum with a square base |
KLB Maths Bk2 Pg. 178
|
|
| 7 | 5 |
Surface Area of Solids
Volume of Solids |
Surface area of frustrum with rectangular base
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 frustrum with rectangular base |
Drawing cones/frustums
Making cones/frustums Measuring lengths/ angles Discussions |
Chart illustrating frustrum with a rectangular base
Chalkboard illustrations Past paper questions Prism |
KLB Maths Bk2 Pg. 181-183
|
|
| 7 | 6 |
Volume of Solids
|
Volume of pyramid
Volume of a cone Volume of a sphere |
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 Sphere |
KLB Maths Bk2 Pg. 189-190
|
|
| 8 |
Exam 2 |
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| 9 |
Midterm break |
|||||||
| 10 | 1 |
Volume of Solids
|
Volume of frustrum
Volume of frustrum with a square base Volume of frustrum with a rectangular base Application to real life situation |
By the end of the
lesson, the learner
should be able to:
find the volume of a frustrum with a circular base |
Making cones/frustums
Opening cones/frustums to form nets |
Frustrum with circular base
Frustrum with square base Frustrum with rectangular base Models of pyramids, prism, cones and spheres |
KLB Maths Bk2 Pg. 192-193
|
|
| 10 | 2 |
Volume of Solids
Quadratic Expressions and Equations Quadratic Expressions and Equations |
Problem solving
Expansion of Algebraic Expressions Quadratic identities |
By the end of the
lesson, the learner
should be able to:
solve problems on volume of solids |
Making cones/frustums
Opening cones/frustums to form nets |
Past paper questions
Real-life experiences Worked out expressions |
KLB Maths Bk2 Pg. 196
|
|
| 10 | 3 |
Quadratic Expressions and Equations
|
Application of identities
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:
identify and use the three Algebraic 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. 204-205
|
|
| 10 | 4 |
Quadratic Expressions and Equations
|
Simplification of an expression by factorisation
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:
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
|
|
| 10 | 5 |
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
|
|
| 10 | 6 |
Linear Inequalities
|
Number line
Inequalities in one unknown Graphical representation Graphical solutions of simultaneous linear inequalities |
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 Number lines Graph papers |
KLB Maths Bk2 Pg. 213-224
|
|
| 11 | 1 |
Linear Inequalities
|
Graphical solutions of simultaneous linear inequalities
Area of the wanted region Inequalities from inequality graphs Problem solving. |
By the end of the
lesson, the learner
should be able to:
solve simultaneous linear inequalities 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
|
|
| 11 | 2 |
Linear Motion
|
Displacement, velocity, speed and acceleration
Distinguishing terms Distinguishing velocity and acceleration |
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
|
|
| 11 | 3 |
Linear Motion
|
Distance time graphs
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:
plot and draw the distance time graphs |
Plotting graphs
Drawing graphs |
Graph papers
Stones Pieces of paper Drawn graphs Real life situation Chalkboard illustrations |
KLB Maths Bk2 Pg. 228-238
|
|
| 11 | 4 |
Linear Motion
Statistics Statistics Statistics |
Problem solving
Definition Collection and organization of data Frequency tables |
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 | 5 |
Statistics
|
Grouped data
Mean of ungrouped data Median 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 | 6 |
Statistics
|
Mean of ungrouped data
Median of a grouped data modal class Data Representation. Line graphs Bar graphs |
By the end of the
lesson, the learner
should be able to:
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
|
|
| 12 | 1 |
Statistics
|
Pictogram
Histograms Frequency polygons |
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 Histograms drawn. Data |
KLB Maths Bk2 Pg. 241-252
|
|
| 12 | 2 |
Statistics
Angle Properties of a Circle |
Histograms with uneven distribution
Interpretation of data Problem solving Arc chord segment |
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 Past paper questions Chart illustrating arc chord and segment |
KLB Maths Bk2 Pg. 241-252
|
|
| 12 | 3 |
Angle Properties of a Circle
|
Angles subtended by the same arc in the same segment
Angle at the centre and at the circumference Angles subtended by the diameter at the circumference Cyclic quadrilateral |
By the end of the
lesson, the learner
should be able to:
relate and compute angles subtended by an arc of a circle at the circumference |
Discussions
Drawing circles Measuring radii/diameters/angles Identifying the parts of a circle |
Chart illustrating Angles subtended by the same arc in same segment are equal
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 | 4 |
Angle Properties of a Circle
|
Cyclic quadrilateral
Exterior angle property Problem solving |
By the end of the
lesson, the learner
should be able to:
find and compute angles of a cyclic quadrilateral |
Discussions
Drawing circles Measuring radii/diameters/angles Identifying the parts of a circle |
Circles showing the
different parts different parts Past paper questions |
KLB Maths Bk2 Pg. 264-278
|
|
| 12 | 5 |
Angle Properties of a Circle
Vectors Vectors Vectors |
Problem solving
Definition and Representation of vectors Equivalent vectors Addition of vectors |
By the end of the
lesson, the learner
should be able to:
state all the properties and use them selectively to solve missing angles. |
Discussions
Drawing circles Measuring radii/diameters/angles Identifying the parts of a circle |
Circles showing the
different parts Past paper questions 1x2 matrices Graph papers Square boards Ruler |
KLB Maths Bk2 Pg. 264-278
|
|
| 12 | 6 |
Vectors
|
Multiplication of vectors
Position vectors Column vector Magnitude of a vector Mid - point Translation vector |
By the end of the
lesson, the learner
should be able to:
multiply a vector and a scalar |
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. 290
|
|
| 13 |
Exam 3 |
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| 14 |
August Holiday |
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