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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 | 2-3 |
Cube and cube roots
Quadratic Expressions and Equations |
Use of tables to find cubes
Cube roots using factor method Expansion of Algebraic Expressions Quadratic identities |
By the end of the
lesson, the learner
should be able to:
Use tables to find the cube of numbers Find cube roots using factor method expand algebraic expressions derive the three Algebraic identities |
Defining
Discussions Solving problem Explaining Discussions Multiplying numbers Dividing numbers Adding numbers Subtracting numbers Exercises |
Apparatus
Books Videos Charts Real-life experiences Worked out expressions |
KLB Mathematics
Book Two Pg 1-2 discovering secondary pg 2 KLB Maths Bk2 Pg. 203 |
|
| 2 | 4 |
Quadratic Expressions and Equations
|
Application of identities
Factorise the Identities |
By the end of the
lesson, the learner
should be able to:
identify and use the three Algebraic identities factorise the identities |
Discussions
Multiplying numbers Dividing numbers Adding numbers Subtracting numbers Exercises |
Real-life experiences
Worked out expressions |
KLB Maths Bk2 Pg. 204-205
|
|
| 2 | 5 |
Quadratic Expressions and Equations
|
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 quadratic expressions factorise a difference of two squares |
Discussions
Multiplying numbers Dividing numbers Adding numbers Subtracting numbers Exercises |
Chart illustrating factorization of a quadratic expression
Real-life experiences Worked out expressions |
KLB Maths Bk2 Pg. 119-122
|
|
| 2 | 6 |
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 solve quadratic equations |
Discussions
Multiplying numbers Dividing numbers Adding numbers Subtracting numbers Exercises |
Real-life experiences
Worked out expressions |
KLB Maths Bk2 Pg. 205-208
|
|
| 2 | 7 |
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 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
|
|
| 3 | 1 |
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 form quadratic equations given the roots of the equation identify and use inequality symbols |
Discussions
Multiplying numbers Dividing numbers Adding numbers Subtracting numbers Exercises Drawing graphs of inequalities Determining the scale of a graph Shading unwanted regions |
Real-life experiences
Worked out expressions Number lines Graph papers Square boards Negative and positive numbers |
KLB Maths Bk2 Pg. 208-210
|
|
| 3 | 2-3 |
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 solve linear inequalities in one unknown and state the integral values represent linear inequalities in one unknown graphically 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 Number lines Graph papers Square boards Negative and positive numbers Number lines Graph papers |
KLB Maths Bk2 Pg. 213-224
|
|
| 3 | 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 simultaneous linear inequalities graphically 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
|
|
| 3 | 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 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 |
KLB Maths Bk2 Pg. 213-224
|
|
| 3 | 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 distinguish between distance and displacement, speed and velocity |
Teacher/pupil discussion
Plotting graphs Drawing graphs |
Graph papers
Stones Pieces of paper |
KLB Maths Bk2 Pg. 228-238
|
|
| 3 | 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 plot and draw the distance time graphs |
Learners determine velocity and acceleration
Plotting graphs Drawing graphs |
Graph papers
Stones Pieces of paper |
KLB Maths Bk2 Pg. 228-238
|
|
| 4 | 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 interpret graphs of linear motion solve problems on objects moving in different directions |
Learners interpret a velocity time graph
Learners interpret graphs Teacher/pupil discussion |
Drawn graphs
Real life situation Chalkboard illustrations |
KLB
Maths Bk2 Pg.333 |
|
| 4 | 2-3 |
Linear Motion
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 definestatistics collect and organize data draw a frequency distribution table |
Question answer method
Collecting data Measuring length/mass/age Drawing graphs Drawing tables Using symbols to represent data Discussion |
Past paper questions
Weighing balance Ruler Tape measure Pieces of stick Arm length Foot length Graph papers |
KLB
Maths Bk2 Pg.330 KLB Maths Bk2 Pg. 241-252 |
|
| 4 | 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 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
|
|
| 4 | 5 |
Statistics
|
Median of ungrouped data
Mean of ungrouped data |
By the end of the
lesson, the learner
should be able to:
calculate the median of ungrouped data and state the mode 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
|
|
| 4 | 6 |
Statistics
|
Median of a grouped data modal class
Data Representation. Line graphs |
By the end of the
lesson, the learner
should be able to:
state the modal class and calculate the median of a grouped data. 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
|
|
| 4 | 7 |
Statistics
|
Bar graphs
Pictogram |
By the end of the
lesson, the learner
should be able to:
represent data in form of a bar graph represent data in form of pictures |
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
|
|
| 5 | 1 |
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 represent data in form of frequency polygons draw histograms with uneven distribution |
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
|
|
| 5 | 2-3 |
Statistics
Angle Properties of a Circle |
Interpretation of data
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:
interpret data from real life situation solve problems on statistics identify an arc, chord and segment relate and compute angles subtended by an arc of a circle at the circumference |
Collecting data
Measuring length/mass/age Drawing graphs Drawing tables Using symbols to represent data Discussion Problem solving Discussions Drawing circles Measuring radii/ diameters/angles Identifying the parts of a circle 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 |
KLB Maths Bk2 Pg. 241-252
KLB Maths Bk2 Pg. 264-278 |
|
| 5 | 4 |
Angle Properties of a Circle
|
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:
relate and compute angle subtended by an arc of a centre and at the circumference statetheangleinthesemi-circle |
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
|
|
| 5 | 5 |
Angle Properties of a Circle
|
Cyclic quadrilateral
Cyclic quadrilateral |
By the end of the
lesson, the learner
should be able to:
state the angle properties of a cyclic quadrilateral findandcomputeanglesofacyclicquadrilateral |
Discussions
Drawing circles Measuring radii/diameters/angles Identifying the parts of a circle |
Circles showing the
different parts |
KLB Maths Bk2 Pg. 264-278
|
|
| 5 | 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 solveproblemsonanglepropertiesofacircle |
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
|
|
| 5 | 7 |
Angle Properties of a Circle
Vectors |
Problem solving
Definition and Representation 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. define a vector and a scalar, use vector notation and represent vectors. |
Discussions
Drawing circles Measuring radii/diameters/angles Identifying the parts of a circle Writing position vectors Adding/subtracting numbers Squaring and getting the square root of numbers |
Circles showing the
different parts Past paper questions 1x2 matrices Graph papers Square boards Ruler |
KLB Maths Bk2 Pg. 264-278
|
|
| 6 | 1 |
Vectors
|
Equivalent vectors
Addition of vectors Multiplication of vectors |
By the end of the
lesson, the learner
should be able to:
identify equivalent vectors add vectors multiply a vector and a scalar |
Writing position vectors
Adding/subtracting numbers Squaring and getting the square root of numbers square root of square root of |
1x2 matrices
Graph papers Square boards Ruler |
KLB Maths Bk2 Pg. 285
|
|
| 6 | 2-3 |
Vectors
|
Position vectors
Column vector Magnitude of a vector Mid - point |
By the end of the
lesson, the learner
should be able to:
define a position vector illustrate position vectors on a Cartesian plane writeavectorasacolumnvector find the magnitude of a vector calculate the midpoint of a vector |
Writing position vectors
Adding/subtracting numbers Squaring and getting the square root of numbers square root of |
1x2 matrices
Graph papers Square boards Ruler |
KLB Maths Bk2 Pg.298
KLB Maths Bk2 Pg. 301 |
|
| 6 | 4 |
Vectors
Quadratic Expressions and Equations |
Translation vector
Factorization of quadratic expressions |
By the end of the
lesson, the learner
should be able to:
find the translation vector given the object and the image Factorize quadratic expressions Write the perfect squares |
Writing position vectors
Adding/subtracting numbers Squaring and getting the square root of numbers Discussions Solving Demonstrating Explaining |
1x2 matrices
Graph papers Square boards Ruler calculators |
KLB Maths Bk2 Pg.304
|
|
| 6 | 5 |
Quadratic Expressions and Equations
|
Completing squares
Completing squares |
By the end of the
lesson, the learner
should be able to:
Factorize quadratic expression by completing square method |
Discussions
Solving Demonstrating Explaining |
calculators
|
KLB Mathematics
Book Three Pg 1-2 |
|
| 6 | 6 |
Quadratic Expressions and Equations
|
Solving quadratic expression by completing square
Solving quadratic expression by factorization |
By the end of the
lesson, the learner
should be able to:
Factorize quadratic expressions Solve quadratic expressions by completing square Solve quadratic expressions by factorization |
Discussions
Solving Demonstrating Explaining |
Calculators
Calculators |
KLB Mathematics
Book Three Pg 5-6 |
|
| 6 | 7 |
Quadratic Expressions and Equations
|
The quadratic formula
The quadratic formula |
By the end of the
lesson, the learner
should be able to:
Solve quadratic expressions using the quadratic formula |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 7-9 |
|
| 7 |
Mid term exam |
|||||||
| 8 |
Half term |
|||||||
| 9 | 1 |
Quadratic Expressions and Equations
|
Formation of quadratic equations
Graphs of quadratic functions Graphs of quadratic functions |
By the end of the
lesson, the learner
should be able to:
Form a quadratic equation from word problem Solve the quadratic equation Draw a table of the quadratic functions Draw graphs of quadratic functions |
Discussions
Solving Demonstrating Explaining |
graph papers & geoboard
|
KLB Mathematics
Book Three Pg 9-10 |
|
| 9 | 2-3 |
Quadratic Expressions and Equations
|
Graphical solutions of quadratic equation
Graphical solutions of quadratic equation Graphical solutions of simultaneous equations Further graphical solutions |
By the end of the
lesson, the learner
should be able to:
Draw graphs of quadratic functions Solve quadratic equations using the graphs Draw tables for simultaneous equations Find the graphical solutions of simultaneous equations Draw tables of other related quadratic equations Solve other related quadratic functions graphically |
Discussions
Solving Demonstrating Explaining |
graph papers & geoboard
graph papers & geoboard graph papers & geoboards |
KLB Mathematics
Book Three Pg 15-17 KLB Mathematics Book Three Pg 19-21 |
|
| 9 | 4 |
Approximations and Errors
|
Computing using calculators
Computing using calculators |
By the end of the
lesson, the learner
should be able to:
Solve basic operations using calculators |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 24-26 |
|
| 9 | 5 |
Approximations and Errors
|
Approximation
Estimation |
By the end of the
lesson, the learner
should be able to:
Approximate values by rounding off Approximate values by truncation Approximate values by estimation |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 29-30 |
|
| 9 | 6 |
Approximations and Errors
|
Accuracy and errors
Percentage error |
By the end of the
lesson, the learner
should be able to:
Find the absolute error Find the relative error Find the percentage error of a given value |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 31-32 |
|
| 9 | 7 |
Approximations and Errors
|
Rounding off error and truncation error
Propagation of errors |
By the end of the
lesson, the learner
should be able to:
Find the rounding off error Find the truncation error Find the propagation of errors in addition and subtraction |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 34 |
|
| 10 | 1 |
Approximations and Errors
|
Propagation of errors
Propagation of errors Propagation of errors |
By the end of the
lesson, the learner
should be able to:
Find the propagation of errors in addition and subtraction Find the propagation of errors in multiplication |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 35-36 |
|
| 10 | 2-3 |
Approximations and Errors
Approximations and Errors Trigonometry (II) |
Propagation of errors
Propagation of errors Word problems The unit circle |
By the end of the
lesson, the learner
should be able to:
Find the propagation of errors in division Find the propagation of errors of a word problem Draw the unit circle |
Discussions
Solving Demonstrating Explaining |
Calculators
Calculators Calculators Protractor Ruler Pair of compasses |
KLB Mathematics
Book Three Pg 37-38 KLB Mathematics Book Three Pg 39-40 |
|
| 10 | 4 |
Trigonometry (II)
|
The unit circle
Trigonometric ratios of angles greater than 900 |
By the end of the
lesson, the learner
should be able to:
Solve problems using the unit circle Find the trigonometric values of angles |
Discussions
Solving Demonstrating Explaining |
Calculators
Protractor Ruler Pair of compasses |
KLB Mathematics
Book Three Pg 43-44 |
|
| 10 | 5 |
Trigonometry (II)
|
Trigonometric ratios of angles greater than 900
Trigonometric ratios of negative angles |
By the end of the
lesson, the learner
should be able to:
Find the trigonometric values of angles Find the trigonometric values of negative angles |
Discussions
Solving Demonstrating Explaining |
Calculators
geo boards & graph books |
KLB Mathematics
Book Three Pg 46-47 |
|
| 10 | 6 |
Trigonometry (II)
|
Trigonometric ratios of angles greater than 3600
Use of mathematical tables |
By the end of the
lesson, the learner
should be able to:
Find the trigonometric values of angles greater than 3600 Use mathematical tables to find sine and cosine |
Discussions
Solving Demonstrating Explaining |
geo boards & graph books
mathematical tables |
KLB Mathematics
Book Three Pg 49-51 |
|
| 10 | 7 |
Trigonometry (II)
|
Use of mathematical tables
Use of calculators |
By the end of the
lesson, the learner
should be able to:
Use mathematical tables to find tan Use calculators to find sine, cosine and tan |
Discussions
Solving Demonstrating Explaining |
mathematical tables
calculators |
KLB Mathematics
Book Three Pg 55-56 |
|
| 11 | 1 |
Trigonometry (II)
|
Radian measure
Simple trigonometric graphs Graphs of cosines |
By the end of the
lesson, the learner
should be able to:
Convert degrees to radians and vice versa Draw tables for sine of values Draw graphs of sine functions Draw tables for cosine of values Draw graphs of cosine functions |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 58-61 |
|
| 11 | 2-3 |
Trigonometry (II)
|
Graphs of tan
The sine rule Cosine rule Problem solving |
By the end of the
lesson, the learner
should be able to:
Draw tables for tan of values Draw graphs of tan functions State the sine rule Use sine rule to find solution of triangles State the sine rule Use sine rule to find solution of triangles Solve problems on cosines, sines and tan |
Discussions
Solving Demonstrating Explaining |
Calculators
Calculators |
KLB Mathematics
Book Three Pg 64-65 KLB Mathematics Book Three Pg 71-75 |
|
| 11 | 4 |
Surds
|
Rational and irrational numbers
Surds |
By the end of the
lesson, the learner
should be able to:
Classify numbers as rational and irrational numbers State the order of surds Simplify surds |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 78 |
|
| 11 | 5 |
Surds
|
Addition of surds
Subtraction of surds |
By the end of the
lesson, the learner
should be able to:
Add surds Subtract surds |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 79-80 |
|
| 11 | 6 |
Surds
|
Multiplication of surds
Division of surds |
By the end of the
lesson, the learner
should be able to:
Multiply surds Divide surds |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 80-82 |
|
| 11 | 7 |
Surds
|
Rationalizing the denominator
Solving problem |
By the end of the
lesson, the learner
should be able to:
Rationalize the denominator Solve problems on surds |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 85-87 |
|
| 12 | 1 |
Further Logarithms
|
Introduction
Laws of logarithms Laws of logarithms |
By the end of the
lesson, the learner
should be able to:
Use calculators to find the logarithm of numbers State the laws of logarithms Use laws of logarithms to solve problems |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 89 |
|
| 12 | 2-3 |
Further Logarithms
|
Logarithmic equations and expressions
Logarithmic equations and expressions Further computation using logarithms Further computation using logarithms |
By the end of the
lesson, the learner
should be able to:
Solve the logarithmic equations and expressions Solve problems involving logarithms |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 93-95 KLB Mathematics Book Three Pg 95-96 |
|
| 12 | 4 |
Further Logarithms
|
Further computation using logarithms
Problem solving |
By the end of the
lesson, the learner
should be able to:
Solve problems involving logarithms |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 95-96 |
|
| 12 | 5 |
Further Logarithms
Commercial arithmetic |
Problem solving
Simple interest |
By the end of the
lesson, the learner
should be able to:
Solve problems involving logarithms Calculate simple interest |
Discussions Solving
Demonstrating Explaining Discussions Solving Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 97 |
|
| 12 | 6 |
Commercial arithmetic
|
Compound interest
Appreciation |
By the end of the
lesson, the learner
should be able to:
Calculate the compound interest Calculate the appreciation value of items |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 102-106 |
|
| 12 | 7 |
Commercial arithmetic
|
Depreciation
Hire purchase Income tax P.A.Y.E |
By the end of the
lesson, the learner
should be able to:
Calculate the depreciation value of items Find the hire purchase Calculate the income tax Calculate the p.a.y.e |
Discussions
Solving Demonstrating Explaining |
Calculators
,calculator income tax table ,calculator Calculators s |
KLB Mathematics
Book Three Pg 109 |
|
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