If this scheme pleases you, click here to download.
| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 1 |
Opening and revision |
|||||||
| 2 |
Opener exams |
|||||||
| 3 | 1 |
Quadratic Expressions and Equations
|
Factorization of quadratic expressions
|
By the end of the
lesson, the learner
should be able to:
Factorize quadratic expressions Write the perfect squares |
Discussions
Solving Demonstrating Explaining |
calculators
|
KLB Mathematics
Book Three Pg 1 |
|
| 3 | 2 |
Quadratic Expressions and Equations
|
Completing squares
Completing squares Solving quadratic expression by completing square |
By the end of the
lesson, the learner
should be able to:
Factorize quadratic expression by completing square method Factorize quadratic expressions Solve quadratic expressions by completing square |
Discussions
Solving Demonstrating Explaining |
calculators
Calculators |
KLB Mathematics
Book Three Pg 1-2 |
|
| 3 | 3 |
Quadratic Expressions and Equations
|
Solving quadratic expression by factorization
The quadratic formula The quadratic formula |
By the end of the
lesson, the learner
should be able to:
Factorize quadratic expressions Solve quadratic expressions by factorization Solve quadratic expressions using the quadratic formula |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 7 |
|
| 3 | 4 |
Quadratic Expressions and Equations
|
Formation of quadratic equations
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 |
|
| 3 | 5 |
Quadratic Expressions and Equations
|
Graphs of quadratic functions
Graphical solutions of quadratic equation Graphical solutions of quadratic equation |
By the end of the
lesson, the learner
should be able to:
Draw a table of the quadratic functions Draw graphs of quadratic functions Solve quadratic equations using the graphs |
Discussions
Solving Demonstrating Explaining |
graph papers & geoboard
|
KLB Mathematics
Book Three Pg 12-15 |
|
| 3 | 6 |
Quadratic Expressions and Equations
Approximations and Errors |
Graphical solutions of simultaneous equations
Further graphical solutions Computing using calculators |
By the end of the
lesson, the learner
should be able to:
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 Solve basic operations using calculators |
Discussions
Solving Demonstrating Explaining |
graph papers & geoboard
graph papers & geoboards Calculators |
KLB Mathematics
Book Three Pg 19-21 |
|
| 3 | 7 |
Approximations and Errors
|
Computing using calculators
Approximation Estimation |
By the end of the
lesson, the learner
should be able to:
Solve basic operations using calculators Approximate values by rounding off Approximate values by truncation Approximate values by estimation |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 26-28 |
|
| 4 | 1 |
Approximations and Errors
|
Accuracy and errors
Percentage error Rounding off error and truncation 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 Find the rounding off error Find the truncation error |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 31-32 |
|
| 4 | 2 |
Approximations and 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 |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 35-36 |
|
| 4 | 3 |
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 multiplication Find the propagation of errors in division |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 36-37 |
|
| 4 | 4 |
Approximations and Errors
Trigonometry (II) |
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 Protractor Ruler Pair of compasses |
KLB Mathematics
Book Three Pg 37-38 |
|
| 4 | 5 |
Trigonometry (II)
|
The unit circle
Trigonometric ratios of angles greater than 900 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 Calculators |
KLB Mathematics
Book Three Pg 43-44 |
|
| 4 | 6 |
Trigonometry (II)
|
Trigonometric ratios of negative angles
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 negative angles 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 48-49 |
|
| 4 | 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 |
|
| 5 | 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 |
|
| 5 | 2 |
Trigonometry (II)
|
Graphs of tan
The sine rule Cosine rule |
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 |
Discussions
Solving Demonstrating Explaining |
Calculators
Calculators |
KLB Mathematics
Book Three Pg 64-65 |
|
| 5 | 3 |
Trigonometry (II)
Further Logarithms Further Logarithms |
Problem solving
Introduction Laws of logarithms |
By the end of the
lesson, the learner
should be able to:
Solve problems on cosines, sines and tan 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 76-77 |
|
| 5 | 4 |
Further Logarithms
|
Laws of logarithms
Logarithmic equations and expressions Logarithmic equations and expressions |
By the end of the
lesson, the learner
should be able to:
State the laws of logarithms Use laws of logarithms to solve problems Solve the logarithmic equations and expressions |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 90-93 |
|
| 5 | 5 |
Further Logarithms
|
Further computation using logarithms
Further computation using logarithms |
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 |
|
| 5 | 6 |
Further Logarithms
|
Further computation using logarithms
Problem solving Problem solving |
By the end of the
lesson, the learner
should be able to:
Solve problems involving logarithms |
Discussions
Solving Demonstrating Explaining Discussions Solving Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 95-96 |
|
| 5 | 7 |
Circles: Chords and tangents
|
Length of an arc
Chords Parallel chords |
By the end of the
lesson, the learner
should be able to:
Calculate the length of an arc Calculate the length of a chord Calculate the perpendicular bisector Find the value of parallel chords |
Discussions
Solving Demonstrating Explaining |
Geometrical set,calculator
Geometrical set ,calculator |
KLB Mathematics
Book Three Pg 124-125 |
|
| 6 | 1 |
Circles: Chords and tangents
|
Equal chords
Intersecting chords Intersecting chords |
By the end of the
lesson, the learner
should be able to:
Find the length of equal chords Calculate the length of intersecting chords |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 131-132 |
|
| 6 | 2 |
Circles: Chords and tangents
|
Tangent to a circle
Tangent to a circle Properties of tangents to a circle from an external point |
By the end of the
lesson, the learner
should be able to:
Construct a tangent to a circle Calculate the length of tangent Calculate the angle between tangents State the properties of tangents to a circle from an external point |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 139-140 |
|
| 6 | 3 |
Circles: Chords and tangents
|
Tangents to two circles
Tangents to two circles |
By the end of the
lesson, the learner
should be able to:
Calculate the tangents of direct common tangents Calculate the tangents of transverse common tangents |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 148-149 |
|
| 6 | 4 |
Circles: Chords and tangents
|
Contact of circles
Contact of circles Problem solving |
By the end of the
lesson, the learner
should be able to:
Calculate the radii of contact circles Solve problems involving chords, tangents and contact circles |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 151-153 |
|
| 6 | 5 |
Circles: Chords and tangents
|
Angle in alternate segment
Angle in alternate segment Circumscribed circle |
By the end of the
lesson, the learner
should be able to:
Calculate the angles in alternate segments Construct circumscribed circles |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 157-160 |
|
| 6 | 6 |
Circles: Chords and tangents
|
Escribed circles
Centroid Orthocenter |
By the end of the
lesson, the learner
should be able to:
Construct escribed circles Construct centroid Construct orthocenter |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 165-166 |
|
| 6 | 7 |
Matrices
|
Matrix representation and order of matrix
Addition of matrix Subtraction of matrices |
By the end of the
lesson, the learner
should be able to:
Represent matrix State the order of a matrix Add matrices Subtract matrices |
Discussions
Solving Demonstrating Explaining |
Chart showing tabular data
|
KLB Mathematics
Book Three Pg 168-170 |
|
| 7 | 1 |
Matrices
|
Combined addition and subtraction of matrices
Matrix multiplication |
By the end of the
lesson, the learner
should be able to:
Perform the combined operation on matrices Multiply matrices |
Discussions
Solving Demonstrating Explaining |
Chart showing tabular data
|
KLB Mathematics
Book Three Pg 171-174 |
|
| 7 | 2 |
Matrices
|
Matrix multiplication
Identity matrix Determinant of a 2 |
By the end of the
lesson, the learner
should be able to:
Multiply matrices Find the identity matrix Find the determinant of a 2 |
Discussions
Solving Demonstrating Explaining |
Chart showing tabular data
Calculator |
KLB Mathematics
Book Three Pg 176-179 |
|
| 7 | 3 |
Matrices
|
Inverse of a 2
Inverse of a 2 Solutions of simultaneous equations by matrix method |
By the end of the
lesson, the learner
should be able to:
Calculate the inverse of a 2 Solve simultaneous equations by matrix method |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 183-185 |
|
| 7 | 4 |
Matrices
Formulae and variations |
Solutions of simultaneous equations by matrix method
Problem solving Formulae |
By the end of the
lesson, the learner
should be able to:
Solve simultaneous equations by matrix method Calculate the inverse of a matrix Make subject of the given formula |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 188-190 |
|
| 7 | 5 |
Formulae and variations
|
Direct variation
Inverse variation Partial variation |
By the end of the
lesson, the learner
should be able to:
Solve problems involving direct variations Solve problems involving inverse variations Solve problems involving partial variations |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 194-196 |
|
| 7 | 6 |
Formulae and variations
|
Joint variation
Joint variation |
By the end of the
lesson, the learner
should be able to:
Solve problems involving join variations |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 204-205 |
|
| 7 | 7 |
Sequences and series
|
Sequences
Arithmetic sequences Geometric sequence |
By the end of the
lesson, the learner
should be able to:
Find the next terms Find the nth term of a given arithmetic sequence Find the nth term of a given geometric sequence |
Discussions
Solving Demonstrating Explaining |
|
KLB Mathematics
Book Three Pg 207-208 |
|
| 8 |
Midterm exam |
|||||||
| 9 |
Midterm break |
|||||||
| 10 | 1 |
Sequences and series
|
Arithmetic series
Geometric series Geometric series |
By the end of the
lesson, the learner
should be able to:
Find the nth term of a given arithmetic series Find the nth term of a given geometric series |
Discussions
Solving Demonstrating Explaining |
|
KLB Mathematics
Book Three Pg 214-215 |
|
| 10 | 2 |
Vectors II
|
Coordinates in two dimensions
Coordinates in three dimensions Column vectors |
By the end of the
lesson, the learner
should be able to:
Identify the coordinates of appoint in two dimensions Identify the coordinates of appoint in three dimensions Find a displacement and represent it in column vector |
Discussions
Solving Demonstrating Explaining |
Wire mesh in 3 dimensions
|
KLB Mathematics
Book Three Pg 221 |
|
| 10 | 3 |
Vectors II
|
Position vector
Unit vectors Unit vectors |
By the end of the
lesson, the learner
should be able to:
Calculate the position vector Express vectors in terms of unit vectors |
Discussions
Solving Demonstrating Explaining |
|
KLB Mathematics
Book Three Pg 224 |
|
| 10 | 4 |
Vectors II
|
Magnitude of a vector in three dimensions
Parallel vectors |
By the end of the
lesson, the learner
should be able to:
Calculate the magnitude of a vector in three dimensions Identify parallel vectors |
Discussions
Solving Demonstrating Explaining |
calculators
Geoboard |
KLB Mathematics
Book Three Pg 229-230 |
|
| 10 | 5 |
Vectors II
|
Collinear points
Collinear points Proportion division of a line |
By the end of the
lesson, the learner
should be able to:
Show that points are collinear Divide a line internally in the given ratio |
Discussions
Solving Demonstrating Explaining |
Geoboard
Geoboard, calculators |
KLB Mathematics
Book Three Pg 232 |
|
| 10 | 6 |
Vectors II
|
Proportion division of a line
Proportion division of a line Ratio theorem |
By the end of the
lesson, the learner
should be able to:
Divide a line externally in the given ratio Divide a line internally and externally in the given ratio Express position vectors |
Discussions
Solving Demonstrating Explaining |
Geoboard, calculators
|
KLB Mathematics
Book Three Pg 238 |
|
| 10 | 7 |
Vectors II
|
Ratio theorem
Mid-point Ratio theorem |
By the end of the
lesson, the learner
should be able to:
Find the position vector Find the mid-points of the given vectors Use ratio theorem to find the given vectors |
Discussions
Solving Demonstrating Explaining |
Geoboard, calculators
|
KLB Mathematics
Book Three Pg 242 |
|
| 11 | 1 |
Vectors II
|
Ratio theorem
Applications of vectors Applications of vectors |
By the end of the
lesson, the learner
should be able to:
Use ratio theorem to find the given vectors Use vectors to show the diagonals of a parallelogram Use vectors to show the diagonals of a rectangle |
Discussions
Solving Demonstrating Explaining |
Geoboard, calculators
|
KLB Mathematics
Book Three Pg 246-248 |
|
| 11 | 2 |
Binomial expansion
|
Binomial Expansion up to power four
Pascal |
By the end of the
lesson, the learner
should be able to:
Expand binomial function up to power four Use Pascal |
Discussions
Solving Demonstrating Explaining |
calculators
|
KLB Mathematics
Book Three Pg 256 |
|
| 11 | 3 |
Binomial expansion
|
Pascal
Pascal Applications to numerical cases |
By the end of the
lesson, the learner
should be able to:
Use Pascal Use binomial expansion to solve numerical problems |
Discussions
Solving Demonstrating Explaining |
calculators
|
KLB Mathematics
Book Three Pg 258-259 |
|
| 11 | 4 |
Binomial expansion
Probability Probability |
Applications to numerical cases
Experimental probability Experimental probability |
By the end of the
lesson, the learner
should be able to:
Use binomial expansion to solve numerical problems Calculate the experimental probability |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 259-260 |
|
| 11 | 5 |
Probability
|
Range of probability measure
Probability space Probability space |
By the end of the
lesson, the learner
should be able to:
Calculate the range of probability measure Calculate the probability space for the theoretical probability |
Discussions
Solving Demonstrating Explaining |
Calculators
Calculators, charts |
KLB Mathematics
Book Three Pg 265-266 |
|
| 11 | 6 |
Probability
|
Combined events
Combined events Independent events |
By the end of the
lesson, the learner
should be able to:
Find the probability of a combined events Find the probability of independent events |
Discussions
Solving Demonstrating Explaining |
Calculators, charts
|
KLB Mathematics
Book Three Pg 272-273 |
|
| 11 | 7 |
Probability
|
Independent events
Independent events |
By the end of the
lesson, the learner
should be able to:
Find the probability of independent events |
Discussions
Solving Demonstrating Explaining |
Calculators, charts
|
KLB Mathematics
Book Three Pg 276-277 |
|
| 12 | 1 |
Probability
|
Tree diagrams
Tree diagrams Tree diagrams |
By the end of the
lesson, the learner
should be able to:
Draw tree diagrams to show the probability space Use tree diagrams to find probability |
Discussions
Solving Demonstrating Explaining |
Calculators, charts
|
KLB Mathematics
Book Three Pg 282 |
|
| 12 | 2 |
Compound proportions and rate of work
|
Compound proportions
Compound proportions Proportional parts |
By the end of the
lesson, the learner
should be able to:
Find the compound proportions Calculate the proportional parts |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 288-290 |
|
| 12 | 3 |
Compound proportions and rate of work
|
Rates of work
Rates of work Rates of work |
By the end of the
lesson, the learner
should be able to:
Calculate the rate of work |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 294-295 |
|
| 12 | 4 |
Graphical methods
|
Tables of given relations
Graphs of given relations Graphical solution of cubic equations |
By the end of the
lesson, the learner
should be able to:
Draw tables of given relations Draw graphs of given relations Draw tables of cubic functions |
Discussions
Solving Demonstrating Explaining |
Geoboard & graph books
|
KLB Mathematics
Book Three Pg 299 |
|
| 12 | 5 |
Graphical methods
|
Graphical solution of cubic equations
Average rates of change |
By the end of the
lesson, the learner
should be able to:
Draw graphs of cubic equations Calculate the average rates of change |
Discussions
Solving Demonstrating Explaining |
Geoboard & graph books
|
KLB Mathematics
Book Three Pg 302-304 |
|
| 12 | 6 |
Graphical methods
|
Rate of change at an instant
Empirical graphs Reduction of non-linear laws to linear form |
By the end of the
lesson, the learner
should be able to:
Calculate the rate of change at an instant Draw the empirical graphs Draw the graphs of reduction of non-linear laws to linear form |
Discussions
Solving Demonstrating Explaining |
Geoboard & graph books
|
KLB Mathematics
Book Three Pg 310-311 |
|
| 12 | 7 |
Graphical methods
|
Reduction of non-linear laws to linear form
Reduction of non-linear laws to linear form Equation of a circle Equation of a circle Equation of a circle |
By the end of the
lesson, the learner
should be able to:
Draw the graphs of reduction of non-linear laws to linear form Find the equation of a circle |
Discussions
Solving Demonstrating Explaining |
Geoboard & graph books
Geoboard & graph bookss |
KLB Mathematics
Book Three Pg 318-321 |
|
| 13 |
End term exams |
|||||||
| 14 |
End term break |
|||||||
Your Name Comes Here