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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 1 | 2 |
Quadratic Expressions and Equations
|
Factorization of quadratic expressions
Completing squares |
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 |
|
| 1 | 3 |
Quadratic Expressions and Equations
|
Completing squares
Solving quadratic expression by completing square Solving quadratic expression by factorization The quadratic formula |
By the end of the
lesson, the learner
should be able to:
Factorize quadratic expression by completing square method |
Discussions
Solving Demonstrating Explaining |
calculators
Calculators Calculators |
KLB Mathematics
Book Three Pg 3-4 |
|
| 1 | 4 |
Quadratic Expressions and Equations
|
The quadratic formula
Formation of quadratic equations Graphs of quadratic functions Graphs of quadratic functions Graphical solutions of quadratic equation |
By the end of the
lesson, the learner
should be able to:
Solve quadratic expressions using the quadratic formula |
Discussions
Solving Demonstrating Explaining |
Calculators
graph papers & geoboard |
KLB Mathematics
Book Three Pg 7-9 |
|
| 1 | 5 |
Quadratic Expressions and Equations
Approximations and Errors |
Graphical solutions of quadratic equation
Graphical solutions of simultaneous equations Further graphical solutions Computing using calculators |
By the end of the
lesson, the learner
should be able to:
Draw graphs of quadratic functions Solve quadratic equations using the graphs |
Discussions
Solving Demonstrating Explaining |
graph papers & geoboard
graph papers & geoboards Calculators |
KLB Mathematics
Book Three Pg 17-19 |
|
| 1 | 6 |
Approximations and Errors
|
Computing using calculators
Approximation Estimation Accuracy and errors Percentage error |
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 26-28 |
|
| 1 | 7 |
Approximations and Errors
|
Rounding off error and truncation error
Propagation of errors Propagation of errors Propagation of errors |
By the end of the
lesson, the learner
should be able to:
Find the rounding off error Find the truncation error |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 34 |
|
| 2 | 1 |
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 multiplication |
Discussions
Solving Demonstrating Explaining |
Calculators
Calculators Protractor Ruler Pair of compasses |
KLB Mathematics
Book Three Pg 36-37 |
|
| 2 | 2 |
Trigonometry (II)
|
The unit circle
Trigonometric ratios of angles greater than 900 Trigonometric ratios of angles greater than 900 Trigonometric ratios of negative angles |
By the end of the
lesson, the learner
should be able to:
Solve problems using the unit circle |
Discussions
Solving Demonstrating Explaining |
Calculators
Protractor Ruler Pair of compasses Calculators geo boards & graph books |
KLB Mathematics
Book Three Pg 43-44 |
|
| 2 | 3 |
Trigonometry (II)
|
Trigonometric ratios of angles greater than 3600
Use of mathematical tables Use of mathematical tables Use of calculators Radian measure |
By the end of the
lesson, the learner
should be able to:
Find the trigonometric values of angles greater than 3600 |
Discussions
Solving Demonstrating Explaining |
geo boards & graph books
mathematical tables calculators Calculators |
KLB Mathematics
Book Three Pg 49-51 |
|
| 2 | 4 |
Trigonometry (II)
|
Simple trigonometric graphs
Graphs of cosines Graphs of tan The sine rule |
By the end of the
lesson, the learner
should be able to:
Draw tables for sine of values Draw graphs of sine functions |
Discussions
Solving Demonstrating Explaining |
Calculators
Calculators |
KLB Mathematics
Book Three Pg 62-63 |
|
| 2 | 5 |
Trigonometry (II)
Surds Surds |
Cosine rule
Problem solving Rational and irrational numbers Surds |
By the end of the
lesson, the learner
should be able to:
State the sine rule Use sine rule to find solution of triangles |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 71-75 |
|
| 2 | 6 |
Surds
|
Addition of surds
Subtraction of surds Multiplication of surds Division of surds Rationalizing the denominator |
By the end of the
lesson, the learner
should be able to:
Add surds |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 79-80 |
|
| 2 | 7 |
Surds
Further Logarithms Further Logarithms Further Logarithms |
Solving problem
Introduction Laws of logarithms Laws of logarithms |
By the end of the
lesson, the learner
should be able to:
Solve problems on surds |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 87-88 |
|
| 3 | 1 |
Further Logarithms
|
Logarithmic equations and expressions
Further computation using logarithms 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 |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 93-95 |
|
| 3 | 2 |
Further Logarithms
Commercial arithmetic Commercial arithmetic |
Problem solving
Simple interest Compound interest |
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 97 |
|
| 3 | 3 |
Commercial arithmetic
|
Appreciation
Depreciation Hire purchase Income tax P.A.Y.E |
By the end of the
lesson, the learner
should be able to:
Calculate the appreciation value of items |
Discussions
Solving Demonstrating Explaining |
Calculators
,calculator income tax table ,calculator Calculators s |
KLB Mathematics
Book Three Pg 108 |
|
| 3 | 4 |
Circles: Chords and tangents
|
Length of an arc
Chords Parallel chords Equal chords |
By the end of the
lesson, the learner
should be able to:
Calculate the length of an arc |
Discussions
Solving Demonstrating Explaining |
Geometrical set,calculator
Geometrical set ,calculator |
KLB Mathematics
Book Three Pg 124-125 |
|
| 3 | 5 |
Circles: Chords and tangents
|
Intersecting chords
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:
Calculate the length of intersecting chords |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 132-135 |
|
| 3 | 6 |
Circles: Chords and tangents
|
Tangents to two circles
Contact of circles Contact of circles |
By the end of the
lesson, the learner
should be able to:
Calculate the tangents of direct common tangents |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 148-149 |
|
| 3 | 7 |
Circles: Chords and tangents
|
Problem solving
Angle in alternate segment Angle in alternate segment Circumscribed circle Escribed circles |
By the end of the
lesson, the learner
should be able to:
Solve problems involving chords, tangents and contact circles |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 154-157 |
|
| 4 | 1 |
Circles: Chords and tangents
Matrices Matrices |
Centroid
Orthocenter Matrix representation and order of matrix Addition of matrix |
By the end of the
lesson, the learner
should be able to:
Construct centroid |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
Chart showing tabular data |
KLB Mathematics
Book Three Pg 166 |
|
| 4 | 2 |
Matrices
|
Subtraction of matrices
Combined addition and subtraction of matrices Matrix multiplication Matrix multiplication Identity matrix |
By the end of the
lesson, the learner
should be able to:
Subtract matrices |
Discussions
Solving Demonstrating Explaining |
Chart showing tabular data
|
KLB Mathematics
Book Three Pg 171 |
|
| 4 | 3 |
Matrices
|
Determinant of a 2
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:
Find the determinant of a 2 |
Discussions
Solving Demonstrating Explaining |
Calculator
Calculators |
KLB Mathematics
Book Three Pg 183 |
|
| 4 | 4 |
Matrices
Formulae and variations Formulae and variations Formulae and variations |
Solutions of simultaneous equations by matrix method
Problem solving Formulae Direct variation Inverse variation |
By the end of the
lesson, the learner
should be able to:
Solve simultaneous equations by matrix method |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 188-190 |
|
| 4 | 5 |
Formulae and variations
Sequences and series |
Partial variation
Joint variation Joint variation Sequences |
By the end of the
lesson, the learner
should be able to:
Solve problems involving partial variations |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 201-203 |
|
| 4 | 6 |
Sequences and series
|
Arithmetic sequences
Geometric sequence 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 sequence |
Discussions
Solving Demonstrating Explaining |
|
KLB Mathematics
Book Three Pg 209-210 |
|
| 4 | 7 |
Vectors II
|
Coordinates in two dimensions
Coordinates in three dimensions Column vectors Position vector |
By the end of the
lesson, the learner
should be able to:
Identify the coordinates of appoint in two dimensions |
Discussions
Solving Demonstrating Explaining |
Wire mesh in 3 dimensions
|
KLB Mathematics
Book Three Pg 221 |
|
| 5 | 1 |
Vectors II
|
Unit vectors
Magnitude of a vector in three dimensions Parallel vectors Collinear points |
By the end of the
lesson, the learner
should be able to:
Express vectors in terms of unit vectors |
Discussions
Solving Demonstrating Explaining |
calculators
Geoboard |
KLB Mathematics
Book Three Pg 226-228 |
|
| 5 | 2 |
Vectors II
|
Collinear points
Proportion division of a line Proportion division of a line Proportion division of a line |
By the end of the
lesson, the learner
should be able to:
Show that points are collinear |
Discussions
Solving Demonstrating Explaining |
Geoboard
Geoboard, calculators |
KLB Mathematics
Book Three Pg 233-234 |
|
| 5 | 3 |
Vectors II
|
Ratio theorem
Mid-point Ratio theorem Ratio theorem |
By the end of the
lesson, the learner
should be able to:
Express position vectors |
Discussions
Solving Demonstrating Explaining |
Geoboard, calculators
|
KLB Mathematics
Book Three Pg 240 |
|
| 5 | 4 |
Vectors II
Binomial expansion Binomial expansion |
Applications of vectors
Binomial Expansion up to power four Pascal |
By the end of the
lesson, the learner
should be able to:
Use vectors to show the diagonals of a parallelogram |
Discussions
Solving Demonstrating Explaining |
Geoboard, calculators
calculators |
KLB Mathematics
Book Three Pg 248-249 |
|
| 5 | 5 |
Binomial expansion
|
Pascal
Applications to numerical cases Applications to numerical cases |
By the end of the
lesson, the learner
should be able to:
Use Pascal |
Discussions
Solving Demonstrating Explaining |
calculators
Calculators |
KLB Mathematics
Book Three Pg 258-259 |
|
| 5 | 6 |
Probability
|
Experimental probability
Range of probability measure Probability space Probability space |
By the end of the
lesson, the learner
should be able to:
Calculate the experimental probability |
Discussions
Solving Demonstrating Explaining |
Calculators
Calculators, charts |
KLB Mathematics
Book Three Pg 262-264 |
|
| 5 | 7 |
Probability
|
Combined events
Independent events Independent events |
By the end of the
lesson, the learner
should be able to:
Find the probability of a combined events |
Discussions
Solving Demonstrating Explaining |
Calculators, charts
|
KLB Mathematics
Book Three Pg 272-273 |
|
| 6 | 1 |
Probability
Compound proportions and rate of work |
Independent events
Tree diagrams Tree diagrams Tree diagrams Compound proportions |
By the end of the
lesson, the learner
should be able to:
Find the probability of independent events |
Discussions
Solving Demonstrating Explaining |
Calculators, charts
Calculators |
KLB Mathematics
Book Three Pg 278-280 |
|
| 6 | 2 |
Compound proportions and rate of work
|
Compound proportions
Proportional parts Rates of work Rates of work |
By the end of the
lesson, the learner
should be able to:
Find the compound proportions |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 290-291 |
|
| 6 | 3 |
Compound proportions and rate of work
Graphical methods Graphical methods Graphical methods Graphical methods |
Rates of work
Tables of given relations Graphs of given relations Graphical solution of cubic equations Graphical solution of cubic equations |
By the end of the
lesson, the learner
should be able to:
Calculate the rate of work |
Discussions
Solving Demonstrating Explaining |
Calculators
Geoboard & graph books |
KLB Mathematics
Book Three Pg 295-296 |
|
| 6 | 4 |
Graphical methods
|
Average rates of change
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 average rates of change |
Discussions
Solving Demonstrating Explaining |
Geoboard & graph books
|
KLB Mathematics
Book Three Pg 304-306 |
|
| 6 | 5 |
Graphical methods
|
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 |
Discussions
Solving Demonstrating Explaining |
Geoboard & graph books
Geoboard & graph bookss |
KLB Mathematics
Book Three Pg 318-321 |
|
| 6 | 6 |
Matrices and
Transformation
|
Transformation on a
Cartesian plane
Identification of transformation matrix Successive transformation |
By the end of the
lesson, the learner
should be able to:
Relate image and objects under a given transformation on the Cartesian plane |
Drawing objects and their images on Cartesian plane Practice Ex 1.1 P5 |
Square boards
Peg boards and strings Rubber band |
- K.M, Advancing in
Math F4 Pg 1-3 - KLB Pg 1-6 |
|
| 6 | 7 |
Matrices and
Transformation
|
Single matrix of
transformation for
successive transformation
Relate Identity Matrix and Transformation Inverse of a matrix area scale factor and determinant of a matrix Area of scale factor and determinant of a matrix |
By the end of the
lesson, the learner
should be able to:
Determine and identify a single matrix for successive transformation |
Drawing objects and its successive images KLB Ex 1.4 |
Square boards
Peg boards and strings Rubber band Calculators Boards and strings |
- K.M, Advancing in
Math F4 Pg 15-17 - KLB Pg 21 |
|
| 7 | 1 |
Matrices and
Transformation
Statistics |
Shear and stretch
Ogive |
By the end of the
lesson, the learner
should be able to:
Determine shear and stretch |
Drawing objects and images under shear and stretch. Ex 1.6 |
Square boards
Peg boards and strings Rubber band Calculators Graph papers |
- K.M, Advancing in
Math F4 Pg 10-13 - KLB Pg 28-34 |
|
| 7 | 2 |
Statistics
|
Median
Quartile Range- inter quartile range |
By the end of the
lesson, the learner
should be able to:
Estimate the median and quartiles by Calculations Ogive |
Practice exercise KLB Pg 4, Ex. 2.2 |
Square boards
Graph papers Calculators Calculators |
- K.M, Advancing in
Math F4 Pg 29-31 - KLB Pg 48 |
|
| 7 | 3 |
Statistics
|
Quartile deviation
Variance Standard deviation |
By the end of the
lesson, the learner
should be able to:
Define and calculate measures of dispersion ? quartile deviation |
Practice exercise KLB Pg 4, Ex. 2.2 |
Calculators
|
- K.M, Advancing in
Math F4 Pg 34-35 - KLB Bk4 Pg 57-59 |
|
| 7 | 4 |
Loci
|
Common types of Loci
Perpendicular bisector Loci Loci of a point at a given distance from a fixed point and fixed line |
By the end of the
lesson, the learner
should be able to:
Define locus |
Practice exercise KLB Pg 4, Ex. 3.2 |
Geometrical patterns
|
- K.M, Advancing in
Math F4 Pg 40-41 - KLB Bk4 Pg 68 |
|
| 7 | 5 |
Loci
|
Angle bisector
Loci
Constant angle loci |
By the end of the
lesson, the learner
should be able to:
Describe common types of loci |
Practice exercise KLB Pg 4, Ex. 3.2 |
Geometrical patterns
|
- K.M, Advancing in
Math F4 Pg 41 - KLB Bk4 Pg 71-72 |
|
| 7 | 6 |
Loci
|
Construction:- loci of
the equalities
Loci involving chords Loci under given conditions including intersecting chords |
By the end of the
lesson, the learner
should be able to:
Construct loci |
Involving inequalities |
Geometrical
instruments |
- K.M, Advancing in
Math F4 Pg 49 |
|
| 7 |
Mazingira day |
|||||||
| 8 | 1 |
Trigonometry
|
Trigonometric ratios
Deriving the relation Sin2 0 + Cos2 0 = 1 Trigonometric ratios of the form y = sin x y = tan x y = cos x |
By the end of the
lesson, the learner
should be able to:
Recall and define trigonometric ratios |
Practice exercise KLB Pg 4, Ex. 4.1 Advancing BK 4, Ex. 4.1 |
Chart illustrating
Trigonometric ratios Charts illustrating the unit circle and right Square boards Graph papers |
- K.M, Advancing in
Math F4 Pg 51-53 - KLB Bk4 Pg 90-93 |
|
| 8 | 2 |
Trigonometry
|
Graphs of
Trigonometric relations
y = a sin x
y = a cos x
y = a tan x
Simple trigonometric equations, amplitudes, period, wavelength and phase angle of trigonometric function Trigonometry y = a sin (bx + 0) |
By the end of the
lesson, the learner
should be able to:
Draw graphs of trigonometric relations y = sin x y = cos x y = tan x |
Drawing graphs KLB Pg 4, Ex. 4.3 Advancing BK 4, Ex. 4.4 Patel BK 4, Ex. 4.3 |
Square boards
Graph papers Trigonometric relations Graphs |
- K.M, Advancing in
Math F4 Pg 59-63 - KLB Bk4 Pg 96-99 |
|
| 8 | 3 |
Trigonometry
|
Trigonometry
y = a cos (bx + 0)
y = a tan (bx + 0)
Amplitude, period, wavelength and phase Phase angles of trigonometric function Solution to simple Trigonometric equations |
By the end of the
lesson, the learner
should be able to:
Draw graphs of trigonometric ratios of the form y = a cos (bx + 0) y = a tan (bx + 0) |
Drawing graphs |
Square boards
Graph papers Trigonometric relations Graphs |
- K.M, Advancing in
Math F4 Pg 59-64 |
|
| 8 | 4 |
Three Dimensional
Geometry
|
Geometrical properties
of common solids
Skew lines projection of a line onto a plane Length of a line in 3D geometry Angle between a line and a line |
By the end of the
lesson, the learner
should be able to:
State the geometric properties of common solids ? Education Plus Agencies |
Practice exercise Advancing BK 4, Ex. 5.1 KLB Pg 4, Ex. 5.1 |
3-D models
|
- K.M, Advancing in
Math F4 Pg 72-73 - KLB BK 4 Pg 104-106 |
|
| 8 | 5 |
Three Dimensional
Geometry
Linear Programming |
A line and a plane
A plane and a plane Angles between skew lines Formation of linear Inequalities |
By the end of the
lesson, the learner
should be able to:
Identify and calculate the angle between a line and a plane |
Practice exercise
Advancing BK 4, Ex. 5.3 and 5.4 KLB Pg 4, Ex. 5.1 |
3-D models
Inequalities |
- K.M, Advancing in
Math F4 Pg 78-80 - KLB BK 4 Pg 106-109 |
|
| 8 | 6 |
Linear Programming
|
Analytical solutions
of linear inequalities
Solutions of linear inequalities by graph |
By the end of the
lesson, the learner
should be able to:
Analyze solutions of linear inequalities |
Practice exercise Advancing BK 4, Ex. 7.1 KLB BK 4, Ex. 7.2 |
Square boards
Graph papers |
- K.M, Advancing in
Math F4 Pg 95-96 - KLB BK 4 Pg 152-155 |
|
| 8 | 7 |
Linear Programming
Differentiation |
Optimization (include
objective)
Application of linear programming to real life situation Derivation of a Polynomial |
By the end of the
lesson, the learner
should be able to:
Solve and interpret the optimum solution of the linear inequalities |
Practice exercise Advancing BK 4, Ex. 7.5 KLB BK 4, Ex. 7.3 |
Graph paper
Real life situations Square boards Polynomials |
- K.M, Advancing in
Math F4 Pg 95-96 - KLB BK 4 Pg 152-155 |
|
| 9 |
Mashujaa day |
|||||||
| 9 | 3 |
Differentiation
|
Equations of tangents
And normal to the
Curve
Stationery point Curve sketching Application of differentiation to calculation of distance velocity and acceleration |
By the end of the
lesson, the learner
should be able to:
Find the equations of tangents and normals to the curves |
Practice exercise Advancing BK 4, Ex. 8.5 KLB BK 4, Ex. 8.2 |
Square boards
Graph paper |
- K.M, Advancing in
Math F4 Pg117-118 - KLB BK 4 Pg 173-174 |
|
| 9 | 4 |
Differentiation
Area Approximations Area Approximations |
Maxima and minima
Area by counting technique Trapezium rule |
By the end of the
lesson, the learner
should be able to:
Apply differentiation in finding maxima and minima of a function |
Practice exercise Advancing BK 4, Ex. 8.9 KLB BK 4, Ex. 8.6 |
Square boards
Graph paper Irregular shapes from Maps Tracing papers |
- K.M, Advancing in
Math F4 Pg118-120 - KLB BK 4 Pg 186-188 |
|
| 9 | 5 |
Area Approximations
|
Area using trapezium
rule
Mid ordinate rule Area by mid ordinate rule |
By the end of the
lesson, the learner
should be able to:
Apply trapezium rule estimate area under curves |
Practice exercise Advancing BK 4, Ex. 9.4 KLB BK 4, Ex. 9.2 |
Square boards
Graph paper Real life situations |
- K.M, Advancing in
Math F4 Pg130-132 - KLB BK 4 Pg 195-199 |
|
| 9 | 6 |
Integration
|
Differentiation
Reverse differentiation |
By the end of the
lesson, the learner
should be able to:
Carry out the process of differentiation |
Practice exercise Advancing BK 4, Ex. 10.1 KLB BK 4, Ex. 10.1 |
Real life situations
|
- K.M, Advancing in
Math F4 Pg133-134 - KLB BK 4 Pg 202-205 |
|
| 9 | 7 |
Integration
|
Integration, notation
and sum of area
trapezia
Indefinite and definite intergral Integral notation Application in Kinematics |
By the end of the
lesson, the learner
should be able to:
Integrate notations and sum of areas of trapezia |
Practice exercise Advancing BK 4, Ex. 10.3 KLB BK 4, Ex. 10.1 |
Square boards
Graph paper Polynomials Real life situations |
- K.M, Advancing in
Math F4 Pg138-140 - KLB BK 4 Pg 212-215 |
|
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