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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 1 | 4 |
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 |
|
| 1 | 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 |
|
| 1 | 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 |
|
| 1 | 7 |
Quadratic Expressions and Equations
|
The quadratic formula
The quadratic formula Formation of quadratic equations |
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 |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 7-9 |
|
| 1 | 8 |
Quadratic Expressions and Equations
|
Graphs of quadratic functions
Graphs of quadratic functions |
By the end of the
lesson, the learner
should be able to:
Draw a table of the quadratic functions Draw graphs of quadratic functions |
Discussions
Solving Demonstrating Explaining |
graph papers & geoboard
|
KLB Mathematics
Book Three Pg 12-15 |
|
| 2 | 1 |
Quadratic Expressions and Equations
|
Graphical solutions of quadratic equation
Graphical solutions of quadratic equation Graphical solutions of simultaneous equations |
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 |
Discussions
Solving Demonstrating Explaining |
graph papers & geoboard
|
KLB Mathematics
Book Three Pg 15-17 |
|
| 2 | 2 |
Quadratic Expressions and Equations
Approximations and Errors |
Further graphical solutions
Computing using calculators |
By the end of the
lesson, the learner
should be able to:
Draw tables of other related quadratic equations Solve other related quadratic functions graphically Solve basic operations using calculators |
Discussions
Solving Demonstrating Explaining |
graph papers & geoboards
Calculators |
KLB Mathematics
Book Three Pg 21-23 |
|
| 2 | 3 |
Approximations and Errors
|
Computing using calculators
Approximation |
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 |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 26-28 |
|
| 2 | 4 |
Approximations and Errors
|
Estimation
Accuracy and errors Percentage error |
By the end of the
lesson, the learner
should be able to:
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 30 |
|
| 2 | 5 |
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 |
|
| 2 | 6 |
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 |
|
| 2 | 7 |
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 division |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 37-38 |
|
| 2 | 8 |
Approximations and Errors
Trigonometry (II) |
Word problems
The unit circle |
By the end of the
lesson, the learner
should be able to:
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 39-40 |
|
| 3 | 1 |
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 |
|
| 3 | 2 |
Trigonometry (II)
|
Trigonometric ratios of negative angles
Trigonometric ratios of angles greater than 3600 |
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 |
Discussions
Solving Demonstrating Explaining |
geo boards & graph books
|
KLB Mathematics
Book Three Pg 48-49 |
|
| 3 | 3 |
Trigonometry (II)
|
Use of mathematical tables
Use of mathematical tables Use of calculators |
By the end of the
lesson, the learner
should be able to:
Use mathematical tables to find sine and cosine 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 51-55 |
|
| 3 | 4 |
Trigonometry (II)
|
Radian measure
Simple trigonometric graphs |
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 |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 58-61 |
|
| 3 | 5 |
Trigonometry (II)
|
Graphs of cosines
Graphs of tan |
By the end of the
lesson, the learner
should be able to:
Draw tables for cosine of values Draw graphs of cosine functions Draw tables for tan of values Draw graphs of tan functions |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 63-64 |
|
| 3 | 6 |
Trigonometry (II)
|
The sine rule
Cosine rule Problem solving |
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 |
Discussions
Solving Demonstrating Explaining |
Calculators
Calculators |
KLB Mathematics
Book Three Pg 65-70 |
|
| 3 | 7 |
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 |
|
| 3 | 8 |
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 |
|
| 4 | 1 |
Surds
|
Multiplication of surds
Division of surds Rationalizing the denominator |
By the end of the
lesson, the learner
should be able to:
Multiply surds Divide surds Rationalize the denominator |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 80-82 |
|
| 4 | 2 |
Surds
Further Logarithms |
Solving problem
Introduction |
By the end of the
lesson, the learner
should be able to:
Solve problems on surds Use calculators to find the logarithm of numbers |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 87-88 |
|
| 4 | 3 |
Further Logarithms
|
Laws of logarithms
Laws of logarithms 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 |
|
| 4 | 4 |
Further Logarithms
|
Logarithmic equations and expressions
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 |
|
| 4 | 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 |
|
| 4 | 6 |
Further Logarithms
Commercial arithmetic |
Problem solving
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 |
|
| 4 | 7 |
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 |
|
| 4 | 8 |
Commercial arithmetic
|
Depreciation
Hire purchase Income tax |
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 |
Discussions
Solving Demonstrating Explaining |
Calculators
,calculator income tax table ,calculator |
KLB Mathematics
Book Three Pg 109 |
|
| 5 | 1 |
Commercial arithmetic
Circles: Chords and tangents |
P.A.Y.E
Length of an arc |
By the end of the
lesson, the learner
should be able to:
Calculate the p.a.y.e Calculate the length of an arc |
Discussions
Solving Demonstrating Explaining |
Calculators s
Geometrical set,calculator |
KLB Mathematics
Book Three Pg 114-117 |
|
| 5 | 2 |
Circles: Chords and tangents
|
Chords
Parallel chords |
By the end of the
lesson, the learner
should be able to:
Calculate the length of a chord Calculate the perpendicular bisector Find the value of parallel chords |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 126-128 |
|
| 5 | 3 |
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 |
|
| 5 | 4 |
Circles: Chords and tangents
|
Tangent to a circle
Tangent to a circle |
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 |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 139-140 |
|
| 5 | 5 |
Circles: Chords and tangents
|
Properties of tangents to a circle from an external point
Tangents to two circles Tangents to two circles |
By the end of the
lesson, the learner
should be able to:
State the properties of tangents to a circle from an external point 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 142-144 |
|
| 5 | 6 |
Circles: Chords and tangents
|
Contact of circles
Contact of circles |
By the end of the
lesson, the learner
should be able to:
Calculate the radii of contact circles |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 151-153 |
|
| 5 | 7 |
Circles: Chords and tangents
|
Problem solving
Angle in alternate segment |
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 |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 154-157 |
|
| 5 | 8 |
Circles: Chords and tangents
|
Angle in alternate segment
Circumscribed circle Escribed circles |
By the end of the
lesson, the learner
should be able to:
Calculate the angles in alternate segments Construct circumscribed circles Construct escribed circles |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 160-161 |
|
| 6 | 1 |
Circles: Chords and tangents
|
Centroid
Orthocenter |
By the end of the
lesson, the learner
should be able to:
Construct centroid Construct orthocenter |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 166 |
|
| 6 | 2 |
Matrices
|
Matrix representation and order of matrix
Addition of matrix |
By the end of the
lesson, the learner
should be able to:
Represent matrix State the order of a matrix Add matrices |
Discussions
Solving Demonstrating Explaining |
Chart showing tabular data
|
KLB Mathematics
Book Three Pg 168-170 |
|
| 6 | 3 |
Matrices
|
Subtraction of matrices
Combined addition and subtraction of matrices Matrix multiplication |
By the end of the
lesson, the learner
should be able to:
Subtract matrices Perform the combined operation on matrices Multiply matrices |
Discussions
Solving Demonstrating Explaining |
Chart showing tabular data
|
KLB Mathematics
Book Three Pg 171 |
|
| 6 | 4 |
Matrices
|
Matrix multiplication
Identity matrix |
By the end of the
lesson, the learner
should be able to:
Multiply matrices Find the identity matrix |
Discussions
Solving Demonstrating Explaining |
Chart showing tabular data
|
KLB Mathematics
Book Three Pg 176-179 |
|
| 6 | 5 |
Matrices
|
Determinant of a 2
Inverse of a 2 Inverse of a 2 |
By the end of the
lesson, the learner
should be able to:
Find the determinant of a 2 Calculate the inverse of a 2 |
Discussions
Solving Demonstrating Explaining |
Calculator
Calculators |
KLB Mathematics
Book Three Pg 183 |
|
| 6 | 6 |
Matrices
|
Solutions of simultaneous equations by matrix method
Solutions of simultaneous equations by matrix method |
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 |
|
| 6 | 7 |
Matrices
Formulae and variations |
Problem solving
Formulae |
By the end of the
lesson, the learner
should be able to:
Calculate the inverse of a matrix Solve simultaneous equations by matrix method Make subject of the given formula |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 190 |
|
| 6 | 8 |
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 | 1 |
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 | 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 |
|
| 7 | 3 |
Vectors II
|
Position vector
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 |
|
| 7 | 4 |
Vectors II
|
Unit vectors
Magnitude of a vector in three dimensions |
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 |
Discussions
Solving Demonstrating Explaining |
calculators
|
KLB Mathematics
Book Three Pg 226-228 |
|
| 7 | 5 |
Vectors II
|
Parallel vectors
Collinear points Collinear points |
By the end of the
lesson, the learner
should be able to:
Identify parallel vectors Show that points are collinear |
Discussions
Solving Demonstrating Explaining |
Geoboard
|
KLB Mathematics
Book Three Pg 231-232 |
|
| 7 | 6 |
Vectors II
|
Proportion division of a line
Proportion division of a line |
By the end of the
lesson, the learner
should be able to:
Divide a line internally in the given ratio Divide a line externally in the given ratio |
Discussions
Solving Demonstrating Explaining |
Geoboard, calculators
|
KLB Mathematics
Book Three Pg 237-238 |
|
| 7 | 7 |
Vectors II
|
Proportion division of a line
Ratio theorem Ratio theorem |
By the end of the
lesson, the learner
should be able to:
Divide a line internally and externally in the given ratio Express position vectors Find the position vector |
Discussions
Solving Demonstrating Explaining |
Geoboard, calculators
|
KLB Mathematics
Book Three Pg 239 |
|
| 7 | 8 |
Vectors II
|
Mid-point
Ratio theorem |
By the end of the
lesson, the learner
should be able to:
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 243 |
|
| 8 |
Midterm |
|||||||
| 9 | 1 |
Vectors II
|
Ratio theorem
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 |
Discussions
Solving Demonstrating Explaining |
Geoboard, calculators
|
KLB Mathematics
Book Three Pg 246-248 |
|
| 9 | 2 |
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 rectangle Expand binomial function up to power four Use Pascal |
Discussions
Solving Demonstrating Explaining |
Geoboard, calculators
calculators |
KLB Mathematics
Book Three Pg |
|
| 9 | 3 |
Binomial expansion
|
Pascal
Pascal |
By the end of the
lesson, the learner
should be able to:
Use Pascal |
Discussions
Solving Demonstrating Explaining |
calculators
|
KLB Mathematics
Book Three Pg 258-259 |
|
| 9 | 4 |
Binomial expansion
|
Applications to numerical cases
Applications to numerical cases |
By the end of the
lesson, the learner
should be able to:
Use binomial expansion to solve numerical problems |
Discussions
Solving Demonstrating Explaining |
calculators
Calculators |
KLB Mathematics
Book Three Pg 259-260 |
|
| 9 | 5 |
Probability
|
Experimental probability
Experimental probability Range of probability measure |
By the end of the
lesson, the learner
should be able to:
Calculate the experimental probability Calculate the range of probability measure |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 262-264 |
|
| 9 | 6 |
Probability
|
Probability space
Probability space |
By the end of the
lesson, the learner
should be able to:
Calculate the probability space for the theoretical probability |
Discussions
Solving Demonstrating Explaining |
Calculators, charts
|
KLB Mathematics
Book Three Pg 266-267 |
|
| 9 | 7 |
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 |
|
| 9 | 8 |
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 |
|
| 10 | 1 |
Probability
|
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 |
|
| 10 | 2 |
Probability
Compound proportions and rate of work Compound proportions and rate of work |
Tree diagrams
Compound proportions Compound proportions |
By the end of the
lesson, the learner
should be able to:
Use tree diagrams to find probability Find the compound proportions |
Discussions
Solving Demonstrating Explaining |
Calculators, charts
Calculators |
KLB Mathematics
Book Three Pg 283-285 |
|
| 10 | 3 |
Compound proportions and rate of work
|
Proportional parts
Rates of work |
By the end of the
lesson, the learner
should be able to:
Calculate the proportional parts Calculate the rate of work |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 291-293 |
|
| 10 | 4 |
Compound proportions and rate of work
Graphical methods |
Rates of work
Rates of work Tables of given relations |
By the end of the
lesson, the learner
should be able to:
Calculate the rate of work Draw tables of given relations |
Discussions
Solving Demonstrating Explaining |
Calculators
Geoboard & graph books |
KLB Mathematics
Book Three Pg 295-296 |
|
| 10 | 5 |
Graphical methods
|
Graphs of given relations
Graphical solution of cubic equations |
By the end of the
lesson, the learner
should be able to:
Draw graphs of given relations Draw tables of cubic functions |
Discussions
Solving Demonstrating Explaining |
Geoboard & graph books
|
KLB Mathematics
Book Three Pg 300 |
|
| 10 | 6 |
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 |
|
| 10 | 7 |
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 |
|
| 10 | 8 |
Graphical methods
|
Reduction of non-linear laws to linear form
Reduction of non-linear laws to linear form |
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 |
|
| 11 | 1 |
Graphical methods
|
Equation of a circle
Equation of a circle Equation of a circle |
By the end of the
lesson, the learner
should be able to:
Find the equation of a circle |
Discussions
Solving Demonstrating Explaining |
Geoboard & graph books
|
KLB Mathematics
Book Three Pg 325-326 |
|
| 11 | 2 |
Trigonometry
|
Deriving the relation
Sin2 0 + Cos2 0 = 1
|
By the end of the
lesson, the learner
should be able to:
Derive trigonometric identity Sin2 0 + Cos2 0 = 1 |
Practice exercise Advancing BK 4, Ex. 4.1 Ex 4.2, Ex 4.3 |
Charts illustrating the unit circle and right |
- K.M, Advancing in
Math F4 Pg 59-64 |
|
| 11 | 3 |
Trigonometry
|
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:
Draw graphs of trigonometric ratios of the form y = sin x y = tan x y = cos x |
Practice exercise KLB Pg 4, Ex. 4.3 Advancing BK 4, Ex. 4.4 and 4.5 Patel BK 4, Ex. 4.2 |
Square boards Graph papers |
- K.M, Advancing in
Math F4 Pg 59-64 - KLB Bk4 Pg 96-99 |
|
| 11 | 4 |
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 |
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 |
Drawing graphs
KLB Pg 4, Ex. 4.3 Advancing BK 4, Ex. 4.4 Patel BK 4, Ex. 4.3 Practice exercise |
Square boards
Graph papers Trigonometric relations Graphs |
- K.M, Advancing in
Math F4 Pg 59-63 - KLB Bk4 Pg 96-99 |
|
| 11 | 5 |
Trigonometry
|
Trigonometry
y = a sin (bx + 0)
Trigonometry y = a cos (bx + 0) y = a tan (bx + 0) |
By the end of the
lesson, the learner
should be able to:
Draw graphs of trigonometric ratios of the form y = a sin (bx + 0) Draw graphs of trigonometric ratios of the form y = a cos (bx + 0) y = a tan (bx + 0) |
Drawing graphs
|
Square boards
Graph papers |
- K.M, Advancing in
Math F4 Pg 60 |
|
| 11 | 6 |
Trigonometry
|
Amplitude, period,
wavelength and phase
Phase angles of
trigonometric function
|
By the end of the
lesson, the learner
should be able to:
Deduce the graphs y = a sin (bx + 0) y = a cos (bx + 0) y = a tan (bx + 0) |
Practice exercise |
Trigonometric relations Graphs |
- K.M, Advancing in
Math F4 Pg 59-64 |
|
| 11 | 7 |
Trigonometry
Three Dimensional Geometry Three Dimensional Geometry |
Solution to simple
Trigonometric
equations
Geometrical properties of common solids Skew lines projection of a line onto a plane |
By the end of the
lesson, the learner
should be able to:
Solve simple trigonometric equations analytically and graphically State the geometric properties of common solids ? Education Plus Agencies Identify projection of a line onto a Plane |
Practice exercise
KLB Pg 4, Ex. 4.3 Advancing BK 4, Ex. 4.6 Patel BK 4, Ex. 4.4 Ex. 5.1 KLB Pg 4, Ex. 5.1 KLB Pg 4, Ex. 5.2 |
Trigonometric relations
Graphs 3-D models |
- K.M, Advancing in
Math F4 Pg 65-67 - KLB BK 4 Pg 100-102 |
|
| 11 | 8 |
Three Dimensional
Geometry
|
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:
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. 5.4 |
3-D models
|
- K.M, Advancing in
Math F4 Pg 78-80 |
|
| 12 | 1 |
Three Dimensional
Geometry
|
A line and a plane
A plane and a plane Angles between skew lines |
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 |
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 |
3-D models
|
- K.M, Advancing in
Math F4 Pg 78-80 - KLB BK 4 Pg 106-109 |
|
| 12 | 2 |
Longitudes and
Latitudes
|
Latitudes and
longitudes (great and
small circle)
|
By the end of the
lesson, the learner
should be able to:
Define the great and small circle in relation to a sphere (including the earth) |
Practice exercise Advancing BK 4, Ex. 6.2 KLB Pg 4, Ex. 6.1 |
Globe Ball |
- K.M, Advancing in
Math F4 Pg 81-83 - KLB BK 4 Pg 125-126 |
|
| 12 | 3 |
Longitudes and
Latitudes
|
The equator and
Greenwich meridian
|
By the end of the
lesson, the learner
should be able to:
Define the great and small circle in relation to a sphere (including the earth) |
Practice exercise Advancing BK 4, Ex. 6.2 KLB Pg 4, Ex. 6.1 |
Globe Ball |
- K.M, Advancing in
Math F4 Pg 83 - KLB BK 4 Pg 126-127 |
|
| 12 | 4 |
Longitudes and
Latitudes
|
Longitudes and
Latitudes
Position of a place on
the surface of the earth
Radii of small and great circles Distance between two points along the small and great circle in nautical miles and kilometres |
By the end of the
lesson, the learner
should be able to:
Locate a place on the earth?s surface in terms of latitude and longitude Establish the relationship between the radii of small and great circles Calculate the distance between two points along the great circles and small circles (longitudes and latitudes) in nautical miles (nm) and kilometres (km) |
Practice exercise
Advancing BK 4, Ex. 6.2 KLB Pg 4, Ex. 6.1 Ex. 6.4 KLB Pg 4, Ex. 6.2 |
Globe
Ball |
- K.M, Advancing in
Math F4 Pg 86 - KLB BK 4 Pg 128-129 |
|
| 12 | 5 |
Longitudes and
Latitudes
|
Distance in nautical
miles and kilometers
along a circle of latitude
|
By the end of the
lesson, the learner
should be able to:
Calculate the distance in nautical miles and kilometers along a circle of latitude |
Practice exercise Advancing BK 4, Ex. 6.5 KLB Pg 4, Ex. 6.3 |
Globe Ball Calculators |
- K.M, Advancing in
Math F4 Pg 87-98 - KLB BK 4 Pg 130-133 |
|
| 12 | 6 |
Longitudes and
Latitudes
|
Time and longitude
|
By the end of the
lesson, the learner
should be able to:
Calculate time in relation to kilometers per hour |
Practice exercise Advancing BK 4, Ex. 6.5 KLB Pg 4, Ex. 6.3 |
Globe Ball Calculators |
- K.M, Advancing in
Math F4 Pg 91-92 - KLB Bk4Pg141-142 |
|
| 12 | 7 |
Longitudes and
Latitudes
|
Speed in knots and
kilometer per hour
|
By the end of the
lesson, the learner
should be able to:
Calculate speed in knots and kilometer per hour |
Practice exercise Advancing BK 4, Ex. 6.6 KLB Pg 4, Ex. 6.3 |
Real life situation |
- K.M, Advancing in
Math F4 Pg 96-98 - KLB BK 4 Pg 150 |
|
| 12 | 8 |
Linear Programming
|
Formation of linear
Inequalities
|
By the end of the
lesson, the learner
should be able to:
Form linear inequalities based on real life situations |
Practice exercise Advancing BK 4, Ex. 7.3 KLB BK 4, Ex. 7.1 |
Inequalities |
- K.M, Advancing in
Math F4 Pg 94-95 - KLB BK 4 Pg 151-152 |
|
| 13 | 1 |
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 |
|
| 13 | 2 |
Linear Programming
|
Optimization (include
objective)
|
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 |
- K.M, Advancing in
Math F4 Pg 95-96 - KLB BK 4 Pg 152-155 |
|
| 13 | 3 |
Linear Programming
|
Application of linear
programming to real
life situation
|
By the end of the
lesson, the learner
should be able to:
Solve and interpret the optimum solution of the linear programming to real life situations |
Practice exercise Advancing BK 4, Ex. 7.5 KLB BK 4, Ex. 7.3 |
Real life situations Square boards Graph paper |
- K.M, Advancing in
Math F4 Pg 99-100 - KLB BK 4 Pg 157-159 |
|
| 13 | 4 |
Differentiation
|
Average and
instantaneous rates of
change
|
By the end of the
lesson, the learner
should be able to:
Find out the average rates of change and instantaneous rate of change |
Practice exercise Advancing BK 4, Ex. 8.1 KLB BK 4, Ex. 8.1 |
Square boards Graph paper |
- K.M, Advancing in
Math F4 Pg100-103 - KLB BK 4 Pg 157-159 |
|
| 13 | 5 |
Differentiation
|
Differentiation
Gradient of a curve at
a point
Gradient of y = xn where n is a positive interger Delta notation (?) |
By the end of the
lesson, the learner
should be able to:
Find the gradient of a curve at a point using tangent Find the gradient function of the form y = xn (n = positive interger) - Relate the delta notation to rates of change - Define derivative of a function polynomial and differentiation |
Practice exercise
Advancing BK 4, Ex. 8.2 KLB BK 4, Ex. 8.1 Ex. 8.2 and 8.3 Ex. 8.2 and 8.4 |
Square boards
Graph paper |
- K.M, Advancing in
Math F4 Pg 109 - KLB BK 4 Pg 162-163 |
|
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