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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 1 | 1 |
Trigonometric Ratios
|
Tangent 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 |
Measuring lengths/angles
Dividing numbers Drawing right angles Reading mathematical tables |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 119-122
|
|
| 1 | 2 |
Trigonometric Ratios
|
Using tangents in calculations
Application of tangents |
By the end of the
lesson, the learner
should be able to:
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
|
|
| 1 | 3-4 |
Trigonometric Ratios
|
The sine of an angle
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 sine of an angle by calculations and through tables apply sines to work out lengths and angles. Apply cosine to work out length and angles |
Measuring lengths/angles
Dividing numbers Drawing right angles Reading mathematical tables |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 119-122
|
|
| 1 | 5 |
Trigonometric Ratios
|
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
|
|
| 1 | 6 |
Trigonometric Ratios
|
Application of Special angles
Logarithms of sines, cosines and tangents |
By the end of the
lesson, the learner
should be able to:
apply the knowledge of special angles to solve problems |
Measuring lengths/angles
Dividing numbers Drawing right angles Reading mathematical tables |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 119-122
|
|
| 2 | 1 |
Trigonometric Ratios
|
Relationship between sin, cos and tan
Application to real life situation |
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
|
|
| 2 | 2 |
Trigonometric Ratios
Area of A Triangle |
Problem solving
Area = |
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
|
|
| 2 | 3-4 |
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 = 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 |
KLB Maths Bk2 Pg. 155-157
|
|
| 2 | 5 |
Area of Quadrilaterals
|
Area of parallelogram
Area of Rhombus |
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 |
KLB Maths Bk2 Pg. 160
|
|
| 2 | 6 |
Area of Quadrilaterals
|
Area of trapezium and kite
Area of regular polygons |
By the end of the
lesson, the learner
should be able to:
solve problems on 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. 162-163
|
|
| 3 |
CYCLE 1 EXAMS |
|||||||
| 4 | 1 |
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
|
|
| 4 | 2 |
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
|
|
| 4 | 3-4 |
Area of Part of a Circle
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 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
|
|
| 4 | 5 |
Surface Area of Solids
|
Surface area of pyramid
Surface area of a cone |
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 |
KLB Maths Bk2 Pg. 178
|
|
| 4 | 6 |
Surface Area of Solids
|
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 frustrum with circular base |
Drawing cones/frustums
Making cones/frustums Measuring lengths/ angles Discussions |
Chart illustrating the surface area of a frustrum
Chart illustrating frustrum with a square base |
KLB Maths Bk2 Pg. 181-283
KLBMathematics Bk2 Discovering Secondary Mathematics Bk2 |
|
| 5 | 1 |
Surface Area of Solids
|
Surface area of frustrum with rectangular base
Surface area of spheres |
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 |
KLB Maths Bk2 Pg. 181-183
|
|
| 5 | 2 |
Surface Area of Solids
|
Problem solving
|
By the end of the
lesson, the learner
should be able to:
solve problems on surface area of solids |
Learners solve problems
|
Past paper questions
|
KLB Maths Bk2 Pg. 183
|
|
| 5 | 3-4 |
Volume of Solids
|
Volume of prism
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 prism find the volume of a cone |
Identifying prisms
Identifying the cross-sectional area Drawing/sketching prisms Making cones/frustums Opening cones/frustums to form nets |
Prism
Pyramid Cone Sphere |
KLB Maths Bk2 Pg. 186-188
KLB Maths Bk2 Pg. 191 |
|
| 5 | 5 |
Volume of Solids
|
Volume of frustrum
Volume of frustrum with a square base |
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 |
KLB Maths Bk2 Pg. 192-193
|
|
| 5 | 6 |
Volume of Solids
|
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 rectangular base |
Making cones/frustums
Opening cones/frustums to form nets |
Frustrum with rectangular base
Models of pyramids, prism, cones and spheres |
KLB Maths Bk2 Pg. 192-193
|
|
| 6 | 1 |
Volume of Solids
|
Problem solving
|
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
|
KLB Maths Bk2 Pg. 196
|
|
| 6 | 2 |
Quadratic Expressions and Equations
|
Expansion of Algebraic Expressions
Quadratic 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
|
|
| 6 | 3-4 |
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 factorise quadratic expressions |
Discussions
Multiplying numbers Dividing numbers Adding numbers Subtracting numbers Exercises |
Real-life experiences
Worked out expressions Chart illustrating factorization of a quadratic expression Real-life experiences Worked out expressions |
KLB Maths Bk2 Pg. 204-205
KLB Maths Bk2 Pg. 119-122 |
|
| 6 | 5 |
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
|
|
| 6 | 6 |
Quadratic Expressions and Equations
|
The formation of 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
|
|
| 7 | 1 |
Quadratic Expressions and 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 and solve quadratic equations from word problems |
Discussions
Multiplying numbers Dividing numbers Adding numbers Subtracting numbers Exercises |
Real-life experiences
Worked out expressions |
KLB Maths Bk2 Pg. 208-210
|
|
| 7 | 2 |
Quadratic Expressions and Equations
Linear Inequalities |
Forming quadratic equations from the roots
Inequalities symbols |
By the end of the
lesson, the learner
should be able to:
form quadratic equations given the roots of the equation |
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. 210
|
|
| 7 | 3-4 |
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 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 Square boards Negative and positive numbers Number lines Graph papers |
KLB Maths Bk2 Pg. 213-224
|
|
| 7 | 5 |
Linear Inequalities
|
Graphical solutions of simultaneous linear inequalities
|
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
|
|
| 7 | 6 |
Linear Inequalities
|
Area of the wanted region
Inequalities from inequality graphs |
By the end of the
lesson, the learner
should be able to:
calculate the area of the wanted region |
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
|
|
| 8 |
Midterm Break |
|||||||
| 9 | 1 |
Linear Inequalities
Linear Motion |
Problem solving.
Displacement, velocity, speed and acceleration |
By the end of the
lesson, the learner
should be able to:
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 Stones Pieces of paper |
KLB Maths Bk2 Pg. 213-224
|
|
| 9 | 2 |
Linear Motion
|
Distinguishing terms
Distinguishing velocity and acceleration |
By the end of the
lesson, the learner
should be able to:
distinguish between distance and displacement, speed and velocity |
Plotting graphs
Drawing graphs |
Graph papers
Stones Pieces of paper |
KLB Maths Bk2 Pg. 228-238
|
|
| 9 | 3-4 |
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 interpret graphs of linear motion |
Plotting graphs
Drawing graphs Learners interpret graphs |
Graph papers
Stones Pieces of paper Drawn graphs Drawn graphs |
KLB Maths Bk2 Pg. 228-238
KLB Maths Bk2 Pg.334 |
|
| 9 | 5 |
Linear Motion
|
Relative speed (objects moving in the same direction)
Problem solving |
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 |
KLB
Maths Bk2 Pg.329 |
|
| 9 | 6 |
Statistics
|
Definition
Collection and organization of data |
By the end of the
lesson, the learner
should be able to:
define statistics |
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 | 1 |
Statistics
|
Frequency tables
Grouped data |
By the end of the
lesson, the learner
should be able to:
draw a frequency distribution table |
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 | 2 |
Statistics
|
Mean of ungrouped data
Median of ungrouped data |
By the end of the
lesson, the learner
should be able to:
calculate the mean of ungrouped 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 | 3-4 |
Statistics
|
Mean of ungrouped data
Median of a grouped data modal class Data Representation. Line graphs |
By the end of the
lesson, the learner
should be able to:
calculate the mean of a grouped data state the modal class and calculate the median 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
|
Bar graphs
Pictogram |
By the end of the
lesson, the learner
should be able to:
represent data in form of a bar 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 |
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 | 1 |
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 | 2 |
Statistics
|
Problem solving
|
By the end of the
lesson, the learner
should be able to:
solve problems on statistics |
Problem solving
|
Past paper questions
|
KLB Maths Bk2 Pg. 241-252
|
|
| 11 | 3-4 |
Angle Properties of a Circle
|
Arc chord segment
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 |
By the end of the
lesson, the learner
should be able to:
identify an arc, chord and segment relate and compute angle subtended by an arc of a centre and at the circumference |
Discussions
Drawing circles Measuring radii/ diameters/angles Identifying the parts of a circle Discussions Drawing circles Measuring radii/diameters/angles Identifying the parts of a circle |
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 Circles showing the different parts |
KLB Maths Bk2 Pg. 264-278
|
|
| 11 | 5 |
Angle Properties of a Circle
|
Cyclic quadrilateral
|
By the end of the
lesson, the learner
should be able to:
state the angle properties of a cyclic quadrilateral |
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 | 6 |
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
|
|
| 12 | 1 |
Angle Properties of a Circle
|
Problem solving
|
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 |
KLB Maths Bk2 Pg. 264-278
|
|
| 12 | 2 |
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 | 3-4 |
Vectors
|
Addition of vectors
Multiplication of vectors Position vectors Column vector |
By the end of the
lesson, the learner
should be able to:
add vectors define a position vector illustrate position vectors on a Cartesian plane |
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
KLB Maths Bk2 Pg.298 |
|
| 12 | 5 |
Vectors
|
Magnitude of a vector
Mid - point |
By the end of the
lesson, the learner
should be able to:
find the magnitude of a 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. 301
|
|
| 12 | 6 |
Vectors
|
Translation vector
|
By the end of the
lesson, the learner
should be able to:
find the translation vector given the object and the image |
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.304
|
|
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