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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 2 | 1-2 |
Reciprocals
Reciprocals Indices and Logarithms |
Reciprocal of numbers by division
Reciprocal of number from tables Indices |
By the end of the
lesson, the learner
should be able to:
Find the reciprocal of number by division Find reciprocal of numbers from the table |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts Sets Books Videos Charts Apparatus |
KLB Mathematics
Book Two Pg 5 discovering secondary pg 7 KLB Mathematics Book Two Pg 5-6 discovering secondary pg 7 |
|
| 2 | 3 |
Indices and Logarithms
|
Negative indices
Fractional indices Logarithms |
By the end of the
lesson, the learner
should be able to:
Find the negative indices |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 8-9 discovering secondary pg 11 |
|
| 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 |
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 |
Indices and Logarithms
Gradient and equations of straight lines |
Roots
Gradient |
By the end of the
lesson, the learner
should be able to:
Use log tables to find roots of numbers |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 24-25 discovering secondary pg 21 |
|
| 3 | 1-2 |
Gradient and equations of straight lines
|
Gradient
Equation of a line Linear equation y=mx+c The y-intercept The graph of a straight line |
By the end of the
lesson, the learner
should be able to:
State the type of gradient Find the y-intercept |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts Apparatus Books Videos Charts Sets |
KLB Mathematics
Book Two Pg 30-32 discovering secondary pg 23 KLB Mathematics Book Two Pg 36-37 Discovering secondary pg 27 |
|
| 3 | 3 |
Gradient and equations of straight lines
Reflection and congruence |
Perpendicular lines
Parallel lines Symmetry |
By the end of the
lesson, the learner
should be able to:
Determine the equation of perpendicular lines |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 41-42 discovering secondary pg 30 |
|
| 3 | 4 |
Reflection and congruence
|
Reflection
Some general deductions using reflection Some general deductions using reflection |
By the end of the
lesson, the learner
should be able to:
Draw an image under reflection |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts Sets |
KLB Mathematics
Book Two Pg 48-50 Discovering secondary pg 33 |
|
| 3 | 5 |
Reflection and congruence
|
Congruence
Congruent triangles |
By the end of the
lesson, the learner
should be able to:
Determine shapes that are congruent |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 61-62 Discovering secondary pg 39 |
|
| 3 | 6 |
Reflection and congruence
Rotation |
Congruent triangles
The ambiguous case Introduction |
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 |
KLB Mathematics
Book Two Pg 65-66 Discovering secondary pg 40 |
|
| 4 | 1-2 |
Rotation
|
Centre of rotation
Angle of rotation Rotation in the Cartesian plane |
By the end of the
lesson, the learner
should be able to:
Determine the center of rotation Rotate objects about the 90 |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts Apparatus Books Videos Charts Sets |
KLB Mathematics
Book Two Pg 73 Discovering secondary pg 46 KLB Mathematics Book Two Pg 76 Discovering secondary pg 47 |
|
| 4 | 3 |
Rotation
|
Rotational symmetry of plane figures
Rotational symmetry of solids Rotation and congruence |
By the end of the
lesson, the learner
should be able to:
State the order of rotational symmetry |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 78-80 Discovering secondary pg 49 |
|
| 4 | 4 |
Trigonometric Ratios
|
Tangent of an angle
Using tangents in calculations |
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
|
|
| 4 | 5 |
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 | 6 |
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 | 1-2 |
Trigonometric Ratios
|
Special angles
Application of Special angles Logarithms of sines, cosines and tangents Relationship between sin, cos and tan Application to real life situation |
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 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
|
|
| 5 | 3 |
Trigonometric Ratios
Area of A Triangle Area of A Triangle |
Problem solving
Area = Solve problems involving = |
By the end of the
lesson, the learner
should be able to:
solve problems on trigonometry |
Problem solving
|
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 119-122
|
|
| 5 | 4 |
Area of A Triangle
Area of Quadrilaterals |
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:
find the 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 | 5 |
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 | 6 |
Area of Quadrilaterals
Area of Part of a Circle |
Area of regular polygons
Problem solving Area of a sector |
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 Circles Chart illustrating the area of a sector |
KLB Maths Bk2 Pg. 119-122
|
|
| 6 | 1-2 |
Area of Part of a Circle
Area of Part of a Circle Surface Area of Solids |
Area of a segment
Common region between two circles Common region between two circles Problem solving Surface area of prisms |
By the end of the
lesson, the learner
should be able to:
find area of a segment solve problems involving the area of part of a circle |
Drawing circles
Measuring radii/diameters Measuring angles Calculating the area of a circle Discussions |
Circles
Chart illustrating the area of a minor segment Circles Chart illustrating the area of a minor segment Chalkboard illustrations Prism Chalkboard illustrations |
KLB Maths Bk2 Pg. 167-169
|
|
| 6 | 3 |
Surface Area of Solids
|
Surface area of pyramid
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 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 |
KLB Maths Bk2 Pg. 178
|
|
| 6 | 4 |
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 | 5 |
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 | 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
|
|
| 7 |
Midterm |
|||||||
| 8 | 1-2 |
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 Problem solving |
By the end of the
lesson, the learner
should be able to:
find the volume of a frustrum with a circular base find the volume of a frustrum with a rectangular 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 Past paper questions |
KLB Maths Bk2 Pg. 192-193
|
|
| 8 | 3 |
Quadratic Expressions and Equations
|
Expansion of Algebraic Expressions
Quadratic identities Application of identities |
By the end of the
lesson, the learner
should be able to:
expand algebraic expressions |
Discussions
Multiplying numbers Dividing numbers Adding numbers Subtracting numbers Exercises |
Real-life experiences
Worked out expressions |
KLB Maths Bk2 Pg. 203
|
|
| 8 | 4 |
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 | 5 |
Quadratic Expressions and Equations
|
Factorisation of expressions of the form k2-9y2
Simplification of an expression by factorisation Solving quadratic equations |
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 | 6 |
Quadratic Expressions and Equations
|
The formation of quadratic equations
Formation and solving of quadratic equations from word problems Solving on quadratic equations |
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 | 1-2 |
Quadratic Expressions and Equations
Linear Inequalities |
Forming quadratic equations from the roots
Inequalities symbols Number line Inequalities in one unknown Graphical representation |
By the end of the
lesson, the learner
should be able to:
form quadratic equations given the roots of the equation illustrate inequalities on a number line |
Discussions
Multiplying numbers Dividing numbers Adding numbers Subtracting numbers Exercises Drawing graphs of inequalities Determining the scale of a graph Shading unwanted regions Discussions |
Real-life experiences
Worked out expressions Number lines Graph papers Square boards Negative and positive numbers Number lines Graph papers Square boards Negative and positive numbers Number lines Graph papers |
KLB Maths Bk2 Pg. 210
KLB Maths Bk2 Pg. 213-224 |
|
| 9 | 3 |
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
|
|
| 9 | 4 |
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
|
|
| 9 | 5 |
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
|
|
| 9 | 6 |
Linear Motion
|
Distance time graphs
Interpret the velocity time graph Interpreting graphs |
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 |
KLB Maths Bk2 Pg. 228-238
|
|
| 10 | 1-2 |
Linear Motion
Statistics |
Relative speed (objects moving in the same direction)
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 objects moving in different directions define statistics |
Teacher/pupil discussion
Collecting data Measuring length/mass/age Drawing graphs Drawing tables Using symbols to represent data 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 KLB Maths Bk2 Pg. 241-252 |
|
| 10 | 3 |
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
|
|
| 10 | 4 |
Statistics
|
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 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
|
|
| 10 | 5 |
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
|
|
| 10 | 6 |
Statistics
|
Histograms
Frequency polygons Histograms with uneven distribution |
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 Data with uneven classes |
KLB Maths Bk2 Pg. 241-252
|
|
| 11 | 1-2 |
Statistics
Angle Properties of a Circle |
Interpretation of data
Problem solving Arc chord segment Angles subtended by the same arc in the same segment Angle at the centre and at the circumference |
By the end of the
lesson, the learner
should be able to:
interpret data from real life situation identify an arc, chord and segment |
Collecting data
Measuring length/mass/age Drawing graphs Drawing tables Using symbols to represent data Discussion Discussions Drawing circles Measuring radii/ diameters/angles Identifying the parts of a circle |
Real life situations
Past paper questions Chart illustrating arc chord and segment 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 |
KLB Maths Bk2 Pg. 241-252
KLB Maths Bk2 Pg. 264-278 |
|
| 11 | 3 |
Angle Properties of a Circle
|
Angles subtended by the diameter at the circumference
Cyclic quadrilateral Cyclic quadrilateral |
By the end of the
lesson, the learner
should be able to:
state the angle in the semi-circle |
Discussions
Drawing circles Measuring radii/diameters/angles Identifying the parts of a circle |
Circles showing the
different parts |
KLB Maths Bk2 Pg. 264-278
|
|
| 11 | 4 |
Angle Properties of a Circle
|
Exterior angle property
Problem solving |
By the end of the
lesson, the learner
should be able to:
apply the exterior angle property |
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
|
|
| 11 | 5 |
Angle Properties of a Circle
Vectors Vectors |
Problem solving
Definition and Representation of vectors Equivalent 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
|
|
| 11 | 6 |
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 | 1 |
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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