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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 2 | 1 |
Statistics
|
Definition
Collection and organization of data |
By the end of the
lesson, the learner
should be able to:
define statistics collect and organize data |
Collecting data
Measuring length/mass/age Drawing graphs Drawing tables Using symbols to represent data Discussion |
Weighing balance
Ruler Tape measure Pieces of stick Arm length Foot length Graph papers |
KLB Maths Bk2 Pg. 241-252
|
|
| 2 | 2-3 |
Statistics
|
Frequency tables
Grouped data Mean of ungrouped data |
By the end of the
lesson, the learner
should be able to:
draw a frequency distribution table group data into reasonable classes calculate the mean of ungrouped data |
Collecting data
Measuring length/mass/age Drawing graphs Drawing tables Using symbols to represent data Discussion |
Weighing balance
Ruler Tape measure Pieces of stick Arm length Foot length Graph papers |
KLB Maths Bk2 Pg. 241-252
|
|
| 2 | 4 |
Statistics
|
Median of ungrouped data
|
By the end of the
lesson, the learner
should be able to:
calculate the median of ungrouped data and state the mode |
Collecting data
Measuring length/mass/age Drawing graphs Drawing tables Using symbols to represent data Discussion |
Weighing balance
Ruler Tape measure Pieces of stick Arm length Foot length Graph papers |
KLB Maths Bk2 Pg. 241-252
|
|
| 2 | 5 |
Statistics
|
Mean of ungrouped data
Median of a grouped data modal class |
By the end of the
lesson, the learner
should be able to:
calculate the mean of a grouped data state the modal class and calculate the median of a grouped data. |
Collecting data
Measuring length/mass/age Drawing graphs Drawing tables Using symbols to represent data Discussion |
Weighing balance
Ruler Tape measure Pieces of stick Arm length Foot length Graph papers |
KLB Maths Bk2 Pg. 241-252
|
|
| 2 | 6 |
Statistics
|
Data
Representation.
Line graphs
|
By the end of the
lesson, the learner
should be able to:
represent data in form of a line graph |
Collecting data
Measuring length/mass/age Drawing graphs Drawing tables Using symbols to represent data Discussion |
Weighing balance
Ruler Tape measure Pieces of stick Arm length Foot length Graph papers |
KLB Maths Bk2 Pg. 241-252
|
|
| 2 | 7 |
Statistics
|
Bar graphs
Pictogram |
By the end of the
lesson, the learner
should be able to:
represent data in form of a bar graph represent data in form of pictures |
Collecting data
Measuring length/mass/age Drawing graphs Drawing tables Using symbols to represent data Discussion |
Weighing balance
Ruler Tape measure Pieces of stick Arm length Foot length Graph papers Pictures which are whole, half, quarter |
KLB Maths Bk2 Pg. 241-252
|
|
| 3 | 1 |
Statistics
|
Histograms
|
By the end of the
lesson, the learner
should be able to:
represent data in form of histograms |
Collecting data
Measuring length/mass/age Drawing graphs Drawing tables Using symbols to represent data Discussion |
Weighing balance
Ruler Tape measure Pieces of stick Arm length Foot length Graph papers |
KLB Maths Bk2 Pg. 241-252
|
|
| 3 | 2-3 |
Statistics
|
Frequency polygons
Histograms with uneven distribution Interpretation of data |
By the end of the
lesson, the learner
should be able to:
represent data in form of frequency polygons draw histograms with uneven distribution interpret data from real life situation |
Collecting data
Measuring length/mass/age Drawing graphs Drawing tables Using symbols to represent data Discussion |
Histograms drawn. Data
Data with uneven classes Real life situations |
KLB Maths Bk2 Pg. 241-252
|
|
| 3 | 4 |
Statistics
|
Problem solving
|
By the end of the
lesson, the learner
should be able to:
solve problems on statistics |
Problem solving
|
Past paper questions
|
KLB Maths Bk2 Pg. 241-252
|
|
| 3 | 5 |
Angle Properties of a Circle
|
Arc chord segment
Angles subtended by the same arc in the same segment |
By the end of the
lesson, the learner
should be able to:
identify an arc, chord and segment relate and compute angles subtended by an arc of a circle at the circumference |
Discussions
Drawing circles Measuring radii/ diameters/angles Identifying the parts of a circle Measuring radii/diameters/angles Identifying the parts of a circle |
Chart illustrating arc chord and segment
Chart illustrating Angles subtended by the same arc in same segment are equal |
KLB Maths Bk2 Pg. 264-278
|
|
| 3 | 6 |
Angle Properties of a Circle
|
Angle at the centre and at the circumference
|
By the end of the
lesson, the learner
should be able to:
relate and compute angle subtended by an arc of a centre and at the circumference |
Discussions
Drawing circles Measuring radii/diameters/angles Identifying the parts of a circle |
Chart illustrating Angles subtended at the centre by an arc and one subtended at the circumference
|
KLB Maths Bk2 Pg. 264-278
|
|
| 3 | 7 |
Angle Properties of a Circle
|
Angles subtended by the diameter at the circumference
Cyclic quadrilateral |
By the end of the
lesson, the learner
should be able to:
state the angle in the semi-circle statetheanglepropertiesofacyclicquadrilateral |
Discussions
Drawing circles Measuring radii/diameters/angles Identifying the parts of a circle |
Circles showing the
different parts |
KLB Maths Bk2 Pg. 264-278
|
|
| 4 | 1 |
Angle Properties of a Circle
|
Cyclic quadrilateral
|
By the end of the
lesson, the learner
should be able to:
find and compute angles of a cyclic quadrilateral |
Discussions
Drawing circles Measuring radii/diameters/angles Identifying the parts of a circle |
Circles showing the
different parts |
KLB Maths Bk2 Pg. 264-278
|
|
| 4 | 2-3 |
Angle Properties of a Circle
|
Exterior angle property
Problem solving Problem solving |
By the end of the
lesson, the learner
should be able to:
apply the exterior angle property solveproblemsonanglepropertiesofacircle state all the properties and use them selectively to solve missing angles. |
Discussions
Drawing circles Measuring radii/diameters/angles Identifying the parts of a circle |
Circles showing the
different parts different parts Past paper questions Circles showing the different parts Past paper questions |
KLB Maths Bk2 Pg. 264-278
|
|
| 4 | 4 |
Vectors
|
Definition and Representation of vectors
Equivalent 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. identify equivalent vectors |
Writing position vectors
Adding/subtracting numbers Squaring and getting the square root of numbers square root of |
1x2 matrices
Graph papers Square boards Ruler |
KLB Maths Bk2 Pg. 284-285
|
|
| 4 | 5 |
Vectors
|
Addition of vectors
|
By the end of the
lesson, the learner
should be able to:
add 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. 286-289
|
|
| 4 | 6 |
Vectors
|
Multiplication of vectors
Position vectors |
By the end of the
lesson, the learner
should be able to:
multiply a vector and a scalar 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 square root of |
1x2 matrices
Graph papers Square boards Ruler |
KLB Maths Bk2 Pg. 290
|
|
| 4 | 7 |
Vectors
|
Column vector
|
By the end of the
lesson, the learner
should be able to:
write a vector as a column vector |
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. 296-297
|
|
| 5 | 1 |
Vectors
|
Magnitude of a vector
Mid - point |
By the end of the
lesson, the learner
should be able to:
find the magnitude of a vector calculate the midpoint of a vector |
Writing position vectors
Adding/subtracting numbers Squaring and getting the square root of numbers square root of |
1x2 matrices
Graph papers Square boards Ruler |
KLB Maths Bk2 Pg. 301
|
|
| 5 | 2-3 |
Vectors
Quadratic Expressions and Equations |
Translation vector
Factorization of quadratic expressions Completing squares |
By the end of the
lesson, the learner
should be able to:
find the translation vector given the object and the image Factorize quadratic expressions Write the perfect squares Factorize quadratic expression by completing square method |
Writing position vectors
Adding/subtracting numbers Squaring and getting the square root of numbers Discussions Solving Demonstrating Explaining |
1x2 matrices
Graph papers Square boards Ruler calculators |
KLB Maths Bk2 Pg.304
KLB Mathematics Book Three Pg 1 |
|
| 5 | 4 |
Quadratic Expressions and Equations
|
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 3-4 |
|
| 5 | 5 |
Quadratic Expressions and Equations
|
Solving quadratic expression by completing square
|
By the end of the
lesson, the learner
should be able to:
Factorize quadratic expressions Solve quadratic expressions by completing square |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 5-6 |
|
| 5 | 6 |
Quadratic Expressions and Equations
|
Solving quadratic expression by factorization
The quadratic formula |
By the end of the
lesson, the learner
should be able to:
Factorize quadratic expressions Solve quadratic expressions by factorization Solve quadratic expressions using the quadratic formula |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 7 |
|
| 5 | 7 |
Quadratic Expressions and Equations
|
The quadratic formula
|
By the end of the
lesson, the learner
should be able to:
Solve quadratic expressions using the quadratic formula |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 7-9 |
|
| 6 | 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 Draw a table of the quadratic functions Draw graphs of quadratic functions |
Discussions
Solving Demonstrating Explaining |
graph papers & geoboard
|
KLB Mathematics
Book Three Pg 9-10 |
|
| 6 | 2-3 |
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 Draw graphs of quadratic functions Solve quadratic equations using the graphs |
Discussions
Solving Demonstrating Explaining |
graph papers & geoboard
|
KLB Mathematics
Book Three Pg 12-15 KLB Mathematics Book Three Pg 15-17 |
|
| 6 | 4 |
Quadratic Expressions and Equations
|
Graphical solutions of simultaneous equations
|
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
|
KLB Mathematics
Book Three Pg 19-21 |
|
| 6 | 5 |
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 |
|
| 6 | 6 |
Approximations and Errors
|
Computing using calculators
|
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 |
|
| 6 | 7 |
Approximations and Errors
|
Approximation
Estimation |
By the end of the
lesson, the learner
should be able to:
Approximate values by rounding off Approximate values by truncation Approximate values by estimation |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 29-30 |
|
| 7 | 1 |
Approximations and Errors
|
Accuracy and errors
|
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 |
|
| 7 | 2-3 |
Approximations and Errors
|
Percentage error
Rounding off error and truncation error Propagation of errors |
By the end of the
lesson, the learner
should be able to:
Find the percentage error of a given value Find the rounding off error Find the truncation error Find the propagation of errors in addition and subtraction |
Discussions
Solving Demonstrating Explaining Discussions Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 32-34 KLB Mathematics Book Three Pg 35-36 |
|
| 7 | 4 |
Approximations and Errors
|
Propagation of errors
Propagation of errors |
By the end of the
lesson, the learner
should be able to:
Find the propagation of errors in addition and subtraction Find the propagation of errors in multiplication |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 35-36 |
|
| 7 | 5 |
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 |
|
| 7 | 6 |
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 |
|
| 7 | 7 |
Approximations and Errors
|
Word problems
|
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
|
KLB Mathematics
Book Three Pg 39-40 |
|
| 8 |
HALF TERM BREAK |
|||||||
| 9 | 1 |
Trigonometry (II)
|
The unit circle
The unit circle |
By the end of the
lesson, the learner
should be able to:
Draw the unit circle Solve problems using the unit circle |
Discussions
Solving Demonstrating Explaining |
Calculators
Protractor Ruler Pair of compasses |
KLB Mathematics
Book Three Pg 41-42 |
|
| 9 | 2-3 |
Trigonometry (II)
|
Trigonometric ratios of angles greater than 900
|
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 |
KLB Mathematics
Book Three Pg 44-45 KLB Mathematics Book Three Pg 46-47 |
|
| 9 | 4 |
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 |
|
| 9 | 5 |
Trigonometry (II)
|
Use of mathematical tables
|
By the end of the
lesson, the learner
should be able to:
Use mathematical tables to find sine and cosine |
Discussions
Solving Demonstrating Explaining |
mathematical tables
|
KLB Mathematics
Book Three Pg 51-55 |
|
| 9 | 6 |
Trigonometry (II)
|
Use of mathematical tables
Use of calculators |
By the end of the
lesson, the learner
should be able to:
Use mathematical tables to find tan Use calculators to find sine, cosine and tan |
Discussions
Solving Demonstrating Explaining |
mathematical tables
calculators |
KLB Mathematics
Book Three Pg 55-56 |
|
| 9 | 7 |
Trigonometry (II)
|
Radian measure
|
By the end of the
lesson, the learner
should be able to:
Convert degrees to radians and vice versa |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 58-61 |
|
| 10 | 1 |
Trigonometry (II)
|
Simple trigonometric graphs
Graphs of cosines |
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 |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 62-63 |
|
| 10 | 2-3 |
Trigonometry (II)
|
Graphs of tan
The sine rule Cosine rule |
By the end of the
lesson, the learner
should be able to:
Draw tables for tan of values Draw graphs of tan functions State the sine rule Use sine rule to find solution of triangles |
Discussions
Solving Demonstrating Explaining |
Calculators
Calculators Calculators |
KLB Mathematics
Book Three Pg 64-65 KLB Mathematics Book Three Pg 65-70 |
|
| 10 | 4 |
Trigonometry (II)
|
Problem solving
|
By the end of the
lesson, the learner
should be able to:
Solve problems on cosines, sines and tan |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 76-77 |
|
| 10 | 5 |
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 |
|
| 10 | 6 |
Surds
|
Addition of surds
|
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 |
|
| 10 | 7 |
Surds
|
Subtraction of surds
Multiplication of surds |
By the end of the
lesson, the learner
should be able to:
Subtract surds Multiply surds |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 80 |
|
| 11 | 1 |
Surds
|
Division of surds
|
By the end of the
lesson, the learner
should be able to:
Divide surds |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 81-82 |
|
| 11 | 2-3 |
Surds
Further Logarithms |
Rationalizing the denominator
Solving problem Introduction |
By the end of the
lesson, the learner
should be able to:
Rationalize the denominator Solve problems on surds Use calculators to find the logarithm of numbers |
Discussions
Solving Demonstrating Explaining Discussions Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 85-87 KLB Mathematics Book Three Pg 89 |
|
| 11 | 4 |
Further Logarithms
|
Laws of logarithms
Laws of logarithms |
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 |
|
| 11 | 5 |
Further Logarithms
|
Logarithmic equations and expressions
|
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 |
|
| 11 | 6 |
Further Logarithms
|
Logarithmic equations and expressions
|
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 |
|
| 11 | 7 |
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 |
|
| 12 | 1 |
Further 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 |
|
| 12 | 2-3 |
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 KLB Mathematics Book Three Pg 98-99 |
|
| 12 | 4 |
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 |
|
| 12 | 5 |
Commercial arithmetic
|
Depreciation
|
By the end of the
lesson, the learner
should be able to:
Calculate the depreciation value of items |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 109 |
|
| 12 | 6 |
Commercial arithmetic
|
Hire purchase
Income tax |
By the end of the
lesson, the learner
should be able to:
Find the hire purchase Calculate the income tax |
Discussions
Solving Demonstrating Explaining |
,calculator
income tax table ,calculator |
KLB Mathematics
Book Three Pg 110-112 |
|
| 12 | 7 |
Commercial arithmetic
|
P.A.Y.E
|
By the end of the
lesson, the learner
should be able to:
Calculate the p.a.y.e |
Discussions
Solving Demonstrating Explaining |
Calculators s
|
KLB Mathematics
Book Three Pg 114-117 |
|
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