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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 Factorize quadratic expression by completing square method |
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 Factorize quadratic expressions Solve quadratic expressions by completing square Solve quadratic expressions by factorization Solve quadratic expressions using the quadratic formula |
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 Form a quadratic equation from word problem Solve the quadratic equation Draw a table of the quadratic functions Draw graphs of quadratic functions Solve quadratic equations using the graphs |
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 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 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 Approximate values by rounding off Approximate values by truncation Approximate values by estimation 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 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 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 34 |
|
| 2 | 1 |
Approximations and Errors
Trigonometry (II) |
Propagation of errors
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 multiplication 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 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 Find the trigonometric values of angles Find the trigonometric values of negative angles |
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 Use mathematical tables to find sine and cosine Use mathematical tables to find tan Use calculators to find sine, cosine and tan Convert degrees to radians and vice versa |
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 Draw tables for cosine of values Draw graphs of cosine functions 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 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 Solve problems on cosines, sines and tan Classify numbers as rational and irrational numbers State the order of surds Simplify surds |
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 Subtract surds Multiply surds Divide surds Rationalize the denominator |
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 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 87-88 |
|
| 3 | 1 |
Further Logarithms
|
Logarithmic equations and expressions
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 Solve problems involving logarithms |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 93-95 |
|
| 3 | 2 |
Further Logarithms
Commercial arithmetic Commercial arithmetic |
Problem solving
Problem solving Simple interest Compound interest |
By the end of the
lesson, the learner
should be able to:
Solve problems involving logarithms Calculate simple interest Calculate the compound interest |
Discussions
Solving Demonstrating Explaining Discussions Solving 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 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 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 Calculate the length of a chord Calculate the perpendicular bisector Find the value of parallel chords Find the length of equal chords |
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
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 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 132-135 |
|
| 3 | 6 |
Circles: Chords and tangents
|
Tangents to two circles
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 Calculate the tangents of transverse common tangents Calculate the radii of contact circles |
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 Calculate the angles in alternate segments Construct circumscribed circles Construct escribed 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 Construct orthocenter Represent matrix State the order of a matrix Add matrices |
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 Perform the combined operation on matrices Multiply matrices Find the identity matrix |
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 Calculate the inverse of a 2 Solve simultaneous equations by matrix method |
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 Calculate the inverse of a matrix Make subject of the given formula Solve problems involving direct variations Solve problems involving inverse variations |
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 Solve problems involving join variations Find the next terms |
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 Find the nth term of a given geometric sequence 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 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 Identify the coordinates of appoint in three dimensions Find a displacement and represent it in column vector Calculate the position vector |
Discussions
Solving Demonstrating Explaining |
Wire mesh in 3 dimensions
|
KLB Mathematics
Book Three Pg 221 |
|
| 5 | 1 |
Vectors II
|
Unit vectors
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 Calculate the magnitude of a vector in three dimensions Identify parallel vectors Show that points are collinear |
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 Divide a line internally in the given ratio Divide a line externally in the given ratio Divide a line internally and externally in the given ratio |
Discussions
Solving Demonstrating Explaining |
Geoboard
Geoboard, calculators |
KLB Mathematics
Book Three Pg 233-234 |
|
| 5 | 3 |
Vectors II
|
Ratio theorem
Ratio theorem Mid-point Ratio theorem Ratio theorem |
By the end of the
lesson, the learner
should be able to:
Express position vectors 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 240 |
|
| 5 | 4 |
Vectors II
Binomial expansion Binomial expansion |
Applications of vectors
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 Use vectors to show the diagonals of a rectangle Expand binomial function up to power four Use Pascal |
Discussions
Solving Demonstrating Explaining |
Geoboard, calculators
calculators |
KLB Mathematics
Book Three Pg 248-249 |
|
| 5 | 5 |
Binomial expansion
|
Pascal
Pascal Applications to numerical cases 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
Calculators |
KLB Mathematics
Book Three Pg 258-259 |
|
| 5 | 6 |
Probability
|
Experimental 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 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 262-264 |
|
| 5 | 7 |
Probability
|
Combined events
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 Find the probability of independent 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 Draw tree diagrams to show the probability space Use tree diagrams to find probability Find the compound proportions |
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 Calculate the proportional parts Calculate the rate of work |
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 Draw tables of given relations Draw graphs of given relations Draw tables of cubic functions Draw graphs of cubic equations |
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 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 304-306 |
|
| 6 | 5 |
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 |
|
| 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 Determine the matrix of a transformation Perform successive transformation |
Drawing objects and
their images on Cartesian plane Practice Ex 1.1 P5 Practice exercise KLB EX 1.2 and 1.3 Drawing objects and its successive images KLB Ex 1.4 |
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 Relate identity matrix and transformation Determine the inverse of a Establish and use the relationship between area scale factor and determinant of a matrix |
Drawing objects and its
successive images KLB Ex 1.4 Practice exercise Ex 1.4 KLB BK 4 Practice exercise Ex 1.5 KLB BK 4 pg 27 |
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 Use cumulative frequency tables to Draw the ogive |
Drawing objects and
images under shear and stretch. Ex 1.6 Drawing cumulative frequency curve (ogive) KLB Pg 4, Ex. 2.2 |
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 Estimate median and quartiles by ogive Define and calculate measure of dispersion-range, quartiles and inter-quartile range |
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 Dispersion, variance interpret measure of dispersion - Define and calculate measures of dispersion, standard deviation - Interpret measures of dispersion |
Practice exercise
KLB Pg 4, Ex. 2.2 Ex. 2.3 Exams ? CATS |
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 Describe common types of loci |
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 Construct loci involving chords Construct loci involving intersecting Loci and under given conditions |
Involving inequalities
Practice exercise KLB Pg 4, Ex. 3.5 KLB Pg 4, Ex. 3.4 |
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 Derive trigonometric identity Sin2 0 + Cos2 0 = 1 Draw graphs of trigonometric ratios of the form y = sin x y = tan x y = cos x |
Practice exercise
KLB Pg 4, Ex. 4.1 Advancing BK 4, Ex. 4.1 Ex 4.2, Ex 4.3 KLB Pg 4, Ex. 4.3 Advancing BK 4, Ex. 4.4 and 4.5 Patel BK 4, Ex. 4.2 |
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 Deduce from the graphs y = cos x The amplitude, wavelength and phase angle Draw graphs of trigonometric ratios of the form y = a sin (bx + 0) |
Drawing graphs
KLB Pg 4, Ex. 4.3 Advancing BK 4, Ex. 4.4 Patel BK 4, Ex. 4.3 Practice exercise Drawing graphs |
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) Deduce the graphs y = a sin (bx + 0) y = a cos (bx + 0) y = a tan (bx + 0) Solve simple trigonometric equations analytically and graphically |
Drawing graphs
Practice exercise KLB Pg 4, Ex. 4.3 Advancing BK 4, Ex. 4.6 Patel BK 4, Ex. 4.4 |
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 Identify projection of a line onto a Plane Calculate the length between two points in 3D geometry Identify and calculate the angle between a line and a line |
Practice exercise
Advancing BK 4, Ex. 5.1 KLB Pg 4, Ex. 5.1 KLB Pg 4, Ex. 5.2 Ex. 5.4 |
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 Identify and calculate the angle between a line and a plane Identify and calculate the angle between skew lines Form linear inequalities based on real life situations |
Practice exercise
Advancing BK 4, Ex. 5.3 and 5.4 KLB Pg 4, Ex. 5.1 Ex. 5.4 KLB Pg 4, Ex. 5.2 Ex. 7.3 KLB BK 4, Ex. 7.1 |
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 Represent the linear inequalities on a graph |
Practice exercise
Advancing BK 4, Ex. 7.1 KLB BK 4, Ex. 7.2 Representing inequalities in a graph 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 solution of the linear programming to real life situations Determine the derivate of a polynomial |
Practice exercise
Advancing BK 4, Ex. 7.5 KLB BK 4, Ex. 7.3 Ex. 8.1 KLB BK 4, Ex. 8.1 |
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 Sketch a sketch Sketch a curve Apply differentiation in calculating distance, velocity and accelaration |
Practice exercise
Advancing BK 4, Ex. 8.5 KLB BK 4, Ex. 8.2 Ex. 8.6 KLB BK 4, Ex. 8.3 Ex. 8.7 KLB BK 4, Ex. 8.4 Ex. 8.8 KLB BK 4, Ex. 8.5 |
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 Relate approximate area of irregular shapes by counting technique Find and derive trapezium rule |
Practice exercise
Advancing BK 4, Ex. 8.9 KLB BK 4, Ex. 8.6 Advancing BK 4, Ex. 9.1 KLB BK 4, Ex. 9.1 Advancing BK 4, Ex. 9.3 KLB BK 4, Ex. 9.2 |
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 Derive the mid ordinate rule Apply mid ordinate rule to approximate area under a curve |
Practice exercise
Advancing BK 4, Ex. 9.4 KLB BK 4, Ex. 9.2 Advancing BK 4, Ex. 9.5 KLB BK 4, Ex. 9.3 |
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 Reverse differentiation |
Practice exercise
Advancing BK 4, Ex. 10.1 KLB BK 4, Ex. 10.1 Ex. 10.1 and 10.2 |
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 Indefine and define intergral Intergral notation Apply in kinematics |
Practice exercise
Advancing BK 4, Ex. 10.3 KLB BK 4, Ex. 10.1 Ex. 10.4 KLB BK 4, Ex. 10.2 Ex. 10.5 KLB BK 4, Ex. 10.3 Ex. 10.6 KLB BK 4, Ex. 10.4 |
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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