If this scheme pleases you, click here to download.
| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 2 | 1 |
Vectors
|
Definition and Representation of vectors
|
By the end of the
lesson, the learner
should be able to:
define a vector and a scalar, use vector notation and represent vectors. |
Writing position vectors
Adding/subtracting numbers Squaring and getting the square root of numbers |
1x2 matrices
Graph papers Square boards Ruler |
KLB Maths Bk2 Pg. 284-285
|
|
| 2 | 2 |
Vectors
|
Equivalent vectors
Addition of vectors Multiplication of vectors |
By the end of the
lesson, the learner
should be able to:
identify equivalent vectors |
Writing position vectors
Adding/subtracting numbers Squaring and getting the square root of numbers |
1x2 matrices
Graph papers Square boards Ruler |
KLB Maths Bk2 Pg. 285
|
|
| 2 | 3 |
Vectors
|
Position vectors
Column vector Magnitude of a vector |
By the end of the
lesson, the learner
should be able to:
define a position vector illustrate position vectors on a Cartesian plane |
Writing position vectors
Adding/subtracting numbers Squaring and getting the square root of numbers |
1x2 matrices
Graph papers Square boards Ruler |
KLB Maths Bk2 Pg.298
|
|
| 2 | 4 |
Vectors
Quadratic Expressions and Equations |
Mid - point
Translation vector Factorization of quadratic expressions |
By the end of the
lesson, the learner
should be able to:
calculate the midpoint of a vector |
Writing position vectors
Adding/subtracting numbers Squaring and getting the square root of numbers |
1x2 matrices
Graph papers Square boards Ruler calculators |
KLB Maths Bk2 Pg. 302
|
|
| 2 | 5 |
Quadratic Expressions and Equations
|
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 |
Discussions
Solving Demonstrating Explaining |
calculators
Calculators |
KLB Mathematics
Book Three Pg 1-2 |
|
| 2 | 6 |
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 |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 7 |
|
| 3 | 1 |
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 |
Discussions
Solving Demonstrating Explaining |
graph papers & geoboard
|
KLB Mathematics
Book Three Pg 9-10 |
|
| 3 | 2 |
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 |
Discussions
Solving Demonstrating Explaining |
graph papers & geoboard
|
KLB Mathematics
Book Three Pg 12-15 |
|
| 3 | 3 |
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 |
Discussions
Solving Demonstrating Explaining |
graph papers & geoboard
graph papers & geoboards Calculators |
KLB Mathematics
Book Three Pg 19-21 |
|
| 3 | 4 |
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 |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 26-28 |
|
| 3 | 5 |
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 |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 31-32 |
|
| 3 | 6 |
Approximations and 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 | 1 |
Approximations and Errors
|
Propagation of errors
|
By the end of the
lesson, the learner
should be able to:
Find the propagation of errors in multiplication |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 36-37 |
|
| 4 | 2 |
Approximations and Errors
Trigonometry (II) Trigonometry (II) |
Word problems
The unit circle The unit circle |
By the end of the
lesson, the learner
should be able to:
Find the propagation of errors of a word problem |
Discussions
Solving Demonstrating Explaining |
Calculators
Calculators Protractor Ruler Pair of compasses |
KLB Mathematics
Book Three Pg 39-40 |
|
| 4 | 3 |
Trigonometry (II)
|
Trigonometric ratios of angles greater than 900
Trigonometric ratios of negative angles |
By the end of the
lesson, the learner
should be able to:
Find the trigonometric values of angles |
Discussions
Solving Demonstrating Explaining |
Calculators
Protractor Ruler Pair of compasses Calculators geo boards & graph books |
KLB Mathematics
Book Three Pg 44-45 |
|
| 4 | 4 |
Trigonometry (II)
|
Trigonometric ratios of angles greater than 3600
Use of mathematical tables Use of mathematical tables |
By the end of the
lesson, the learner
should be able to:
Find the trigonometric values of angles greater than 3600 |
Discussions
Solving Demonstrating Explaining |
geo boards & graph books
mathematical tables |
KLB Mathematics
Book Three Pg 49-51 |
|
| 4 | 5 |
Trigonometry (II)
|
Use of calculators
Radian measure Simple trigonometric graphs |
By the end of the
lesson, the learner
should be able to:
Use calculators to find sine, cosine and tan |
Discussions
Solving Demonstrating Explaining |
calculators
Calculators |
KLB Mathematics
Book Three Pg 56-58 |
|
| 4 | 6 |
Trigonometry (II)
|
Graphs of cosines
Graphs of tan The sine rule |
By the end of the
lesson, the learner
should be able to:
Draw tables for cosine of values Draw graphs of cosine functions |
Discussions
Solving Demonstrating Explaining |
Calculators
Calculators |
KLB Mathematics
Book Three Pg 63-64 |
|
| 5 | 1 |
Trigonometry (II)
Surds |
Cosine rule
Problem solving Rational and irrational numbers |
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 |
|
| 5 | 2 |
Surds
|
Surds
Addition of surds |
By the end of the
lesson, the learner
should be able to:
State the order of surds Simplify surds |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 78-79 |
|
| 5 | 3 |
Surds
|
Subtraction of surds
Multiplication of surds Division of surds |
By the end of the
lesson, the learner
should be able to:
Subtract surds |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 80 |
|
| 5 | 4 |
Surds
Further Logarithms |
Rationalizing the denominator
Solving problem Introduction |
By the end of the
lesson, the learner
should be able to:
Rationalize the denominator |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 85-87 |
|
| 5 | 5 |
Further 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 |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 90-93 |
|
| 5 | 6 |
Further Logarithms
|
Logarithmic equations and expressions
Further computation using logarithms Further computation using logarithms |
By the end of the
lesson, the learner
should be able to:
Solve the logarithmic equations and expressions |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 93-95 |
|
| 6 | 1 |
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 |
Calculators
|
KLB Mathematics
Book Three Pg 95-96 |
|
| 6 | 2 |
Commercial arithmetic
|
Simple interest
Compound interest Appreciation |
By the end of the
lesson, the learner
should be able to:
Calculate simple interest |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 98-99 |
|
| 6 | 3 |
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 |
Discussions
Solving Demonstrating Explaining |
Calculators
,calculator income tax table ,calculator |
KLB Mathematics
Book Three Pg 109 |
|
| 6 | 4 |
Commercial arithmetic
Circles: Chords and tangents Circles: Chords and tangents |
P.A.Y.E
Length of an arc Chords |
By the end of the
lesson, the learner
should be able to:
Calculate the p.a.y.e |
Discussions
Solving Demonstrating Explaining |
Calculators s
Geometrical set,calculator Geometrical set ,calculator |
KLB Mathematics
Book Three Pg 114-117 |
|
| 6 | 5 |
Circles: Chords and tangents
|
Parallel chords
Equal chords Intersecting chords |
By the end of the
lesson, the learner
should be able to:
Calculate the perpendicular bisector Find the value of parallel chords |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 129-131 |
|
| 6 | 6 |
Circles: Chords and tangents
|
Intersecting chords
Tangent to a circle Tangent to a circle |
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 135-139 |
|
| 7 | 1 |
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 |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 142-144 |
|
| 7 | 2 |
Circles: Chords and tangents
|
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 |
|
| 7 | 3 |
Circles: Chords and tangents
|
Problem solving
Angle in alternate segment Angle in alternate segment |
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 |
|
| 7 | 4 |
Circles: Chords and tangents
|
Circumscribed circle
Escribed circles Centroid |
By the end of the
lesson, the learner
should be able to:
Construct circumscribed circles |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 165 |
|
| 7 | 5 |
Circles: Chords and tangents
Matrices Matrices |
Orthocenter
Matrix representation and order of matrix Addition of matrix |
By the end of the
lesson, the learner
should be able to:
Construct orthocenter |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
Chart showing tabular data |
KLB Mathematics
Book Three Pg 167 |
|
| 7 | 6 |
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 |
Discussions
Solving Demonstrating Explaining |
Chart showing tabular data
|
KLB Mathematics
Book Three Pg 171 |
|
| 8 | 1 |
Matrices
|
Matrix multiplication
Identity matrix Determinant of a 2 |
By the end of the
lesson, the learner
should be able to:
Multiply matrices |
Discussions
Solving Demonstrating Explaining |
Chart showing tabular data
Calculator |
KLB Mathematics
Book Three Pg 176-179 |
|
| 8 | 2 |
Matrices
|
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 |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 183-185 |
|
| 8 | 3 |
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 |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 188-190 |
|
| 8 | 4 |
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 |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 194-196 |
|
| 8 | 5 |
Formulae and variations
Sequences and series |
Joint variation
Sequences |
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 |
|
| 8 | 6 |
Sequences and series
|
Arithmetic sequences
Geometric sequence Arithmetic 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 |
|
| 9 | 1 |
Sequences and series
Vectors II |
Geometric series
Coordinates in two dimensions |
By the end of the
lesson, the learner
should be able to:
Find the nth term of a given geometric series |
Discussions
Solving Demonstrating Explaining |
Wire mesh in 3 dimensions
|
KLB Mathematics
Book Three Pg 216-219 |
|
| 9 | 2 |
Vectors II
|
Coordinates in three dimensions
Column vectors |
By the end of the
lesson, the learner
should be able to:
Identify the coordinates of appoint in three dimensions |
Discussions
Solving Demonstrating Explaining |
Wire mesh in 3 dimensions
|
KLB Mathematics
Book Three Pg 222 |
|
| 9 | 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 |
Discussions
Solving Demonstrating Explaining |
|
KLB Mathematics
Book Three Pg 224 |
|
| 9-10 |
Midterm |
|||||||
| 10 | 2 |
Vectors II
|
Magnitude of a vector in three dimensions
Parallel vectors Collinear points |
By the end of the
lesson, the learner
should be able to:
Calculate the magnitude of a vector in three dimensions |
Discussions
Solving Demonstrating Explaining |
calculators
Geoboard |
KLB Mathematics
Book Three Pg 229-230 |
|
| 10 | 3 |
Vectors II
|
Collinear points
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 |
|
| 10 | 4 |
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 |
Discussions
Solving Demonstrating Explaining |
Geoboard, calculators
|
KLB Mathematics
Book Three Pg 239 |
|
| 10 | 5 |
Vectors II
|
Mid-point
Ratio theorem Ratio theorem |
By the end of the
lesson, the learner
should be able to:
Find the mid-points of the given vectors |
Discussions
Solving Demonstrating Explaining |
Geoboard, calculators
|
KLB Mathematics
Book Three Pg 243 |
|
| 10 | 6 |
Vectors II
Binomial expansion |
Applications of vectors
Binomial Expansion up to power four |
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 |
|
| 11 | 1 |
Binomial expansion
|
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 256-257 |
|
| 11 | 2 |
Binomial expansion
Probability |
Applications to numerical cases
Experimental probability |
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 |
|
| 11 | 3 |
Probability
|
Experimental probability
Range of probability measure 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 |
|
| 11 | 4 |
Probability
|
Probability space
Combined events Combined events |
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 268-270 |
|
| 11 | 5 |
Probability
|
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 274-275 |
|
| 11 | 6 |
Probability
|
Tree diagrams
|
By the end of the
lesson, the learner
should be able to:
Draw tree diagrams to show the probability space |
Discussions
Solving Demonstrating Explaining |
Calculators, charts
|
KLB Mathematics
Book Three Pg 282 |
|
| 12 | 1 |
Compound proportions and rate of work
|
Compound proportions
|
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 288-290 |
|
| 12 | 2 |
Compound proportions and rate of work
|
Proportional parts
Rates of work Rates of work |
By the end of the
lesson, the learner
should be able to:
Calculate the proportional parts |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 291-293 |
|
| 12 | 3 |
Compound proportions and rate of work
Graphical methods Graphical methods |
Rates of work
Tables of given relations Graphs of given relations |
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 |
|
| 12 | 4 |
Graphical methods
|
Graphical solution of cubic equations
Average rates of change |
By the end of the
lesson, the learner
should be able to:
Draw tables of cubic functions |
Discussions
Solving Demonstrating Explaining |
Geoboard & graph books
|
KLB Mathematics
Book Three Pg 301 |
|
| 12 | 5 |
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 |
Discussions
Solving Demonstrating Explaining |
Geoboard & graph books
|
KLB Mathematics
Book Three Pg 310-311 |
|
| 12 | 6 |
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 |
|
Your Name Comes Here