If this scheme pleases you, click here to download.
| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 1 |
Opening,opener exams |
|||||||
| 2 | 1 |
Approximations and Errors
|
Computing using calculators
|
By the end of the
lesson, the learner
should be able to:
Solve basic operations using calculators Use calculator functions effectively Apply calculator to mathematical computations |
Q/A on calculator familiarity
Discussions on calculator operations Solving basic arithmetic problems Demonstrations of calculator functions Explaining proper calculator usage |
Calculators, operation guides
Calculators, verification worksheets |
KLB Mathematics Book Three Pg 24-26
|
|
| 2 | 2 |
Approximations and Errors
|
Approximation
|
By the end of the
lesson, the learner
should be able to:
Approximate values by rounding off Round numbers to specified decimal places Apply rounding rules correctly |
Q/A on rounding concepts
Discussions on rounding techniques Solving rounding problems Demonstrations of rounding methods Explaining rounding rules and applications |
Calculators, rounding charts
|
KLB Mathematics Book Three Pg 29-30
|
|
| 2 | 3 |
Approximations and Errors
|
Estimation
|
By the end of the
lesson, the learner
should be able to:
Approximate values by truncation Estimate values using appropriate methods Compare estimation techniques |
Q/A on estimation strategies
Discussions on truncation vs rounding Solving estimation problems Demonstrations of truncation methods Explaining when to use different techniques |
Calculators, estimation guides
|
KLB Mathematics Book Three Pg 30
|
|
| 2 | 4 |
Approximations and Errors
|
Accuracy and errors
Percentage error |
By the end of the
lesson, the learner
should be able to:
Find the absolute error Calculate relative error Distinguish between different error types |
Q/A on error concepts
Discussions on error calculations Solving absolute and relative error problems Demonstrations of error computation Explaining error significance |
Calculators, error calculation sheets
Calculators, percentage error worksheets |
KLB Mathematics Book Three Pg 31-32
|
|
| 2 | 5 |
Approximations and Errors
|
Rounding off error and truncation error
|
By the end of the
lesson, the learner
should be able to:
Find the rounding off error Calculate truncation error Compare rounding and truncation errors |
Q/A on error types
Discussions on error sources Solving rounding and truncation error problems Demonstrations of error comparison Explaining error analysis |
Calculators, error comparison charts
|
KLB Mathematics Book Three Pg 34
|
|
| 2 | 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 Calculate combined errors Apply error propagation rules |
Q/A on error propagation concepts
Discussions on addition/subtraction errors Solving error propagation problems Demonstrations of error combination Explaining propagation principles |
Calculators, error propagation guides
|
KLB Mathematics Book Three Pg 35-36
|
|
| 2 | 7 |
Approximations and Errors
|
Propagation of errors
Propagation of errors in multiplication |
By the end of the
lesson, the learner
should be able to:
Find the propagation of errors in addition and subtraction Apply error propagation to complex problems Verify error calculations |
Q/A on propagation mastery
Discussions on complex error scenarios Solving advanced propagation problems Demonstrations of verification methods Explaining error validation |
Calculators, verification worksheets
Calculators, multiplication error guides |
KLB Mathematics Book Three Pg 35-36
|
|
| 3 | 1 |
Approximations and Errors
|
Propagation of errors in multiplication
|
By the end of the
lesson, the learner
should be able to:
Find the propagation of errors in multiplication Solve complex multiplication error problems Compare different error propagation methods |
Q/A on advanced multiplication errors
Discussions on complex error scenarios Solving challenging multiplication problems Demonstrations of method comparison Explaining optimal error calculation |
Calculators, method comparison charts
|
KLB Mathematics Book Three Pg 36-37
|
|
| 3 | 2 |
Approximations and Errors
|
Propagation of errors in division
|
By the end of the
lesson, the learner
should be able to:
Find the propagation of errors in division Calculate errors in quotients Apply division error rules |
Q/A on division error concepts
Discussions on quotient error calculation Solving division error problems Demonstrations of division error methods Explaining division error principles |
Calculators, division error worksheets
Calculators, verification guides |
KLB Mathematics Book Three Pg 37-38
|
|
| 3 | 3 |
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 Apply error analysis to real-world situations Solve comprehensive error problems |
Q/A on chapter consolidation
Discussions on real-world applications Solving comprehensive word problems Demonstrations of problem-solving strategies Explaining practical error analysis |
Calculators, word problem sets, comprehensive review sheets
|
KLB Mathematics Book Three Pg 39-40
|
|
| 3 | 4 |
Trigonometry (II)
|
The unit circle
|
By the end of the
lesson, the learner
should be able to:
Draw the unit circle Identify coordinates on the unit circle Understand the unit circle concept |
Q/A on basic circle properties
Discussions on unit circle construction Solving problems using unit circle Demonstrations of circle drawing Explaining unit circle applications |
Calculators, protractors, rulers, pair of compasses
|
KLB Mathematics Book Three Pg 41-42
|
|
| 3 | 5 |
Trigonometry (II)
|
The unit circle
Trigonometric ratios of angles greater than 90° |
By the end of the
lesson, the learner
should be able to:
Solve problems using the unit circle Apply unit circle to find trigonometric values Use unit circle for angle measurement |
Q/A on unit circle mastery
Discussions on practical applications Solving trigonometric problems Demonstrations of value finding Explaining angle relationships |
Calculators, protractors, rulers, pair of compasses
|
KLB Mathematics Book Three Pg 43-44
|
|
| 3 | 6 |
Trigonometry (II)
|
Trigonometric ratios of angles greater than 90°
|
By the end of the
lesson, the learner
should be able to:
Find the trigonometric values of angles Solve problems with angles in different quadrants Apply ASTC rule for sign determination |
Q/A on quadrant properties
Discussions on sign conventions Solving multi-quadrant problems Demonstrations of ASTC rule Explaining trigonometric signs |
Calculators, quadrant charts
|
KLB Mathematics Book Three Pg 46-47
|
|
| 3 | 7 |
Trigonometry (II)
|
Trigonometric ratios of negative angles
|
By the end of the
lesson, the learner
should be able to:
Find the trigonometric values of negative angles Apply negative angle identities Solve problems involving negative angles |
Q/A on negative angle concepts
Discussions on angle direction Solving negative angle problems Demonstrations of identity applications Explaining clockwise rotations |
Geoboards, graph books, calculators
|
KLB Mathematics Book Three Pg 48-49
|
|
| 4 | 1 |
Trigonometry (II)
|
Trigonometric ratios of angles greater than 360°
Use of mathematical tables |
By the end of the
lesson, the learner
should be able to:
Find the trigonometric values of angles greater than 360° Apply coterminal angle concepts Reduce angles to standard position |
Q/A on angle reduction concepts
Discussions on coterminal angles Solving extended angle problems Demonstrations of angle reduction Explaining periodic properties |
Geoboards, graph books, calculators
Mathematical tables, calculators |
KLB Mathematics Book Three Pg 49-51
|
|
| 4 | 2 |
Trigonometry (II)
|
Use of mathematical tables
|
By the end of the
lesson, the learner
should be able to:
Use mathematical tables to find tan Apply tables for all trigonometric functions Compare table and calculator results |
Q/A on tangent table usage
Discussions on function relationships Solving comprehensive table problems Demonstrations of result verification Explaining table limitations |
Mathematical tables, calculators
|
KLB Mathematics Book Three Pg 55-56
|
|
| 4 | 3 |
Trigonometry (II)
|
Use of calculators
Radian measure |
By the end of the
lesson, the learner
should be able to:
Use calculators to find sine, cosine and tan Apply calculator functions for trigonometry Verify calculator accuracy |
Q/A on calculator trigonometric functions
Discussions on calculator modes Solving problems using calculators Demonstrations of function keys Explaining degree vs radian modes |
Calculators, function guides
Calculators, conversion charts |
KLB Mathematics Book Three Pg 56-58
|
|
| 4 | 4 |
Trigonometry (II)
|
Simple trigonometric graphs
|
By the end of the
lesson, the learner
should be able to:
Draw tables for sine of values Plot graphs of sine functions Identify sine graph properties |
Q/A on coordinate graphing
Discussions on periodic functions Solving graphing problems Demonstrations of sine plotting Explaining graph characteristics |
Calculators, graph papers, plotting guides
|
KLB Mathematics Book Three Pg 62-63
|
|
| 4 | 5 |
Trigonometry (II)
|
Graphs of cosines
|
By the end of the
lesson, the learner
should be able to:
Draw tables for cosine of values Plot graphs of cosine functions Compare sine and cosine graphs |
Q/A on cosine properties
Discussions on graph relationships Solving cosine graphing problems Demonstrations of cosine plotting Explaining phase relationships |
Calculators, graph papers, plotting guides
|
KLB Mathematics Book Three Pg 63-64
|
|
| 4 | 6 |
Trigonometry (II)
|
Graphs of tan
The sine rule |
By the end of the
lesson, the learner
should be able to:
Draw tables for tan of values Plot graphs of tan functions Identify asymptotes and discontinuities |
Q/A on tangent behavior
Discussions on function domains Solving tangent graphing problems Demonstrations of asymptote identification Explaining discontinuous functions |
Calculators, graph papers, plotting guides
Calculators, triangle worksheets |
KLB Mathematics Book Three Pg 64-65
|
|
| 4 | 7 |
Trigonometry (II)
|
Cosine rule
|
By the end of the
lesson, the learner
should be able to:
State the cosine rule Apply cosine rule to find solution of triangles Choose appropriate rule for triangle solving |
Q/A on cosine rule concepts
Discussions on rule selection Solving complex triangle problems Demonstrations of cosine rule Explaining when to use each rule |
Calculators, triangle worksheets
|
KLB Mathematics Book Three Pg 71-75
|
|
| 5 | 1 |
Trigonometry (II)
Surds |
Problem solving
Rational and irrational numbers |
By the end of the
lesson, the learner
should be able to:
Solve problems on cosines, sines and tan Apply trigonometry to real-world situations Integrate all trigonometric concepts |
Q/A on chapter consolidation
Discussions on practical applications Solving comprehensive problems Demonstrations of problem-solving strategies Explaining real-world trigonometry |
Calculators, comprehensive problem sets, real-world examples
Calculators, number classification charts |
KLB Mathematics Book Three Pg 76-77
|
|
| 5 | 2 |
Surds
|
Order of surds and simplification
|
By the end of the
lesson, the learner
should be able to:
State the order of surds Identify surd orders correctly Simplify surds to lowest terms |
Q/A on surd definition and properties
Discussions on surd order concepts Solving order identification problems Demonstrations of surd simplification Explaining simplification techniques |
Calculators, surd order examples
|
KLB Mathematics Book Three Pg 78-79
|
|
| 5 | 3 |
Surds
|
Simplification of surds practice
|
By the end of the
lesson, the learner
should be able to:
Simplify surds using factorization Express surds in simplest form Apply systematic simplification methods |
Q/A on factorization techniques
Discussions on factor identification Solving extensive simplification problems Demonstrations of step-by-step methods Explaining perfect square extraction |
Calculators, factor trees, simplification worksheets
|
KLB Mathematics Book Three Pg 79-80
|
|
| 5 | 4 |
Surds
|
Addition of surds
Subtraction of surds |
By the end of the
lesson, the learner
should be able to:
Add surds with like terms Combine surds of the same order Simplify surd addition expressions |
Q/A on like term concepts
Discussions on surd addition rules Solving addition problems systematically Demonstrations of combining techniques Explaining when surds can be added |
Calculators, addition rule charts
Calculators, subtraction worksheets |
KLB Mathematics Book Three Pg 79-80
|
|
| 5 | 5 |
Surds
|
Multiplication of surds
|
By the end of the
lesson, the learner
should be able to:
Multiply surds of the same order Apply multiplication rules to surds Simplify products of surds |
Q/A on multiplication concepts
Discussions on surd multiplication laws Solving multiplication problems Demonstrations of product simplification Explaining multiplication principles |
Calculators, multiplication rule guides
|
KLB Mathematics Book Three Pg 80-82
|
|
| 5 | 6 |
Surds
|
Division of surds
|
By the end of the
lesson, the learner
should be able to:
Divide surds of the same order Apply division rules to surds Simplify quotients of surds |
Q/A on division concepts
Discussions on surd division methods Solving division problems systematically Demonstrations of quotient simplification Explaining division techniques |
Calculators, division worksheets
|
KLB Mathematics Book Three Pg 81-82
|
|
| 5 | 7 |
Surds
|
Rationalizing the denominator
Advanced rationalization techniques |
By the end of the
lesson, the learner
should be able to:
Rationalize the denominator of fractions Apply rationalization techniques Simplify expressions with surd denominators |
Q/A on rationalization concepts
Discussions on denominator clearing Solving rationalization problems Demonstrations of conjugate methods Explaining rationalization importance |
Calculators, rationalization guides
Calculators, advanced technique sheets |
KLB Mathematics Book Three Pg 85-87
|
|
| 6 | 1 |
Commercial Arithmetic
|
Simple interest
|
By the end of the
lesson, the learner
should be able to:
Calculate simple interest Apply simple interest formula Solve basic interest problems |
Q/A on interest concepts and terminology
Discussions on principal, rate, and time Solving basic simple interest problems Demonstrations of formula application Explaining interest calculations |
Calculators, simple interest charts
|
KLB Mathematics Book Three Pg 98-99
|
|
| 6 | 2 |
Commercial Arithmetic
|
Simple interest
Compound interest |
By the end of the
lesson, the learner
should be able to:
Calculate simple interest Solve complex simple interest problems Apply simple interest to real-world situations |
Q/A on advanced simple interest concepts
Discussions on practical applications Solving complex interest problems Demonstrations of real-world scenarios Explaining business applications |
Calculators, real-world problem sets
Calculators, compound interest tables |
KLB Mathematics Book Three Pg 98-101
|
|
| 6 | 3 |
Commercial Arithmetic
|
Compound interest
|
By the end of the
lesson, the learner
should be able to:
Calculate the compound interest Solve advanced compound interest problems Compare simple and compound interest |
Q/A on advanced compounding scenarios
Discussions on investment comparisons Solving complex compound problems Demonstrations of comparison methods Explaining investment decisions |
Calculators, comparison worksheets
|
KLB Mathematics Book Three Pg 102-107
|
|
| 6 | 4 |
Commercial Arithmetic
|
Appreciation
|
By the end of the
lesson, the learner
should be able to:
Calculate the appreciation value of items Apply appreciation concepts Solve appreciation problems |
Q/A on appreciation concepts
Discussions on asset value increases Solving appreciation calculation problems Demonstrations of value growth Explaining appreciation applications |
Calculators, appreciation examples
|
KLB Mathematics Book Three Pg 108
|
|
| 6 | 5 |
Commercial Arithmetic
|
Depreciation
Hire purchase |
By the end of the
lesson, the learner
should be able to:
Calculate the depreciation value of items Apply depreciation methods Solve depreciation problems |
Q/A on depreciation concepts and methods
Discussions on asset value decreases Solving depreciation calculation problems Demonstrations of depreciation methods Explaining business depreciation |
Calculators, depreciation charts
Calculators, hire purchase examples |
KLB Mathematics Book Three Pg 109
|
|
| 6 | 6 |
Commercial Arithmetic
|
Hire purchase
|
By the end of the
lesson, the learner
should be able to:
Find the hire purchase Solve complex hire purchase problems Calculate total costs and interest charges |
Q/A on advanced hire purchase scenarios
Discussions on complex payment structures Solving challenging hire purchase problems Demonstrations of cost analysis Explaining consumer finance decisions |
Calculators, complex hire purchase worksheets
|
KLB Mathematics Book Three Pg 110-112
|
|
| 6 | 7 |
Commercial Arithmetic
|
Income tax and P.A.Y.E
|
By the end of the
lesson, the learner
should be able to:
Calculate the income tax Calculate the P.A.Y.E Apply tax calculation methods |
Q/A on tax system concepts
Discussions on income tax and P.A.Y.E systems Solving tax calculation problems Demonstrations of tax computation Explaining taxation principles |
Income tax tables, calculators
|
KLB Mathematics Book Three Pg 112-117
|
|
| 7 | 1 |
Circles: Chords and Tangents
|
Length of an arc
|
By the end of the
lesson, the learner
should be able to:
Calculate the length of an arc Apply arc length formula Understand arc-radius relationships |
Q/A on circle properties and terminology
Discussions on arc measurement concepts Solving basic arc length problems Demonstrations of formula application Explaining arc-angle relationships |
Geometrical set, calculators
|
KLB Mathematics Book Three Pg 124-125
|
|
| 7 | 2 |
Circles: Chords and Tangents
|
Chords
|
By the end of the
lesson, the learner
should be able to:
Calculate the length of a chord Apply chord properties and theorems Understand chord-radius relationships |
Q/A on chord definition and properties
Discussions on chord calculation methods Solving basic chord problems Demonstrations of geometric constructions Explaining chord theorems |
Geometrical set, calculators
|
KLB Mathematics Book Three Pg 126-128
|
|
| 7 | 3 |
Circles: Chords and Tangents
|
Parallel chords
Equal chords |
By the end of the
lesson, the learner
should be able to:
Calculate the perpendicular bisector Find the value of parallel chords Apply parallel chord properties |
Q/A on parallel chord concepts
Discussions on perpendicular bisector properties Solving parallel chord problems Demonstrations of construction techniques Explaining geometric relationships |
Geometrical set, calculators
|
KLB Mathematics Book Three Pg 129-131
|
|
| 7 | 4 |
Circles: Chords and Tangents
|
Intersecting chords
|
By the end of the
lesson, the learner
should be able to:
Calculate the length of intersecting chords Apply intersecting chord theorem Understand chord intersection properties |
Q/A on chord intersection concepts
Discussions on intersection theorem Solving basic intersection problems Demonstrations of theorem application Explaining geometric proofs |
Geometrical set, calculators
|
KLB Mathematics Book Three Pg 132-135
|
|
| 7 | 5 |
Circles: Chords and Tangents
|
Intersecting chords
|
By the end of the
lesson, the learner
should be able to:
Calculate the length of intersecting chords Solve complex intersection problems Apply advanced chord theorems |
Q/A on advanced intersection scenarios
Discussions on complex chord relationships Solving challenging intersection problems Demonstrations of advanced techniques Explaining sophisticated applications |
Geometrical set, calculators
|
KLB Mathematics Book Three Pg 135-139
|
|
| 7 | 6 |
Circles: Chords and Tangents
|
Chord properties
Tangent to a circle |
By the end of the
lesson, the learner
should be able to:
Solve comprehensive chord problems Integrate all chord concepts Apply chord knowledge systematically |
Q/A on comprehensive chord understanding
Discussions on integrated problem-solving Solving mixed chord problems Demonstrations of systematic approaches Explaining complete chord mastery |
Geometrical set, calculators
|
KLB Mathematics Book Three Pg 126-139
|
|
| 7 | 7 |
Circles: Chords and Tangents
|
Tangent to a circle
|
By the end of the
lesson, the learner
should be able to:
Calculate the length of tangent Calculate the angle between tangents Apply tangent measurement techniques |
Q/A on tangent calculations
Discussions on tangent measurement Solving tangent calculation problems Demonstrations of measurement methods Explaining tangent applications |
Geometrical set, calculators
|
KLB Mathematics Book Three Pg 141-142
|
|
| 8 | 1 |
Circles: Chords and Tangents
|
Properties of tangents to a circle from an external point
|
By the end of the
lesson, the learner
should be able to:
State the properties of tangents to a circle from an external point Apply external tangent properties Solve external tangent problems |
Q/A on external tangent concepts
Discussions on tangent properties Solving external tangent problems Demonstrations of property applications Explaining theoretical foundations |
Geometrical set, calculators
|
KLB Mathematics Book Three Pg 142-144
|
|
| 8 | 2 |
Circles: Chords and Tangents
|
Tangent properties
Tangents to two circles |
By the end of the
lesson, the learner
should be able to:
Solve comprehensive tangent problems Apply all tangent concepts Integrate tangent knowledge systematically |
Q/A on comprehensive tangent mastery
Discussions on integrated applications Solving mixed tangent problems Demonstrations of complete understanding Explaining systematic problem-solving |
Geometrical set, calculators
|
KLB Mathematics Book Three Pg 139-147
|
|
| 8 | 3 |
Circles: Chords and Tangents
|
Tangents to two circles
|
By the end of the
lesson, the learner
should be able to:
Calculate the tangents of transverse common tangents Find transverse tangent properties Compare direct and transverse tangents |
Q/A on transverse tangent concepts
Discussions on tangent type differences Solving transverse tangent problems Demonstrations of comparison methods Explaining tangent classifications |
Geometrical set, calculators
|
KLB Mathematics Book Three Pg 150-151
|
|
| 8 | 4 |
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 Understand internal contact properties Apply contact circle concepts |
Q/A on circle contact concepts
Discussions on internal contact properties Solving internal contact problems Demonstrations of contact relationships Explaining geometric principles |
Geometrical set, calculators
|
KLB Mathematics Book Three Pg 151-153
|
|
| 8 | 5 |
Circles: Chords and Tangents
|
Circle contact
|
By the end of the
lesson, the learner
should be able to:
Solve problems involving chords, tangents and contact circles Integrate all contact concepts Apply comprehensive contact knowledge |
Q/A on comprehensive contact understanding
Discussions on integrated problem-solving Solving complex contact problems Demonstrations of systematic approaches Explaining complete contact mastery |
Geometrical set, calculators
|
KLB Mathematics Book Three Pg 154-157
|
|
| 8 | 6 |
Circles: Chords and Tangents
|
Angle in alternate segment
|
By the end of the
lesson, the learner
should be able to:
Calculate the angles in alternate segments Apply alternate segment theorem Understand segment angle properties |
Q/A on alternate segment concepts
Discussions on segment angle relationships Solving basic segment problems Demonstrations of theorem application Explaining geometric proofs |
Geometrical set, calculators
|
KLB Mathematics Book Three Pg 157-160
|
|
| 8 | 7 |
Circles: Chords and Tangents
|
Angle in alternate segment
Circumscribed circle |
By the end of the
lesson, the learner
should be able to:
Calculate the angles in alternate segments Solve complex segment problems Apply advanced segment theorems |
Q/A on advanced segment applications
Discussions on complex angle relationships Solving challenging segment problems Demonstrations of sophisticated techniques Explaining advanced applications |
Geometrical set, calculators
|
KLB Mathematics Book Three Pg 160-161
|
|
| 9 |
Mid term exams and mid term break |
|||||||
| 10 | 1 |
Circles: Chords and Tangents
|
Escribed circles
|
By the end of the
lesson, the learner
should be able to:
Construct escribed circles Find escribed circle properties Apply escription concepts |
Q/A on escription concepts
Discussions on escribed circle construction Solving escription problems Demonstrations of construction methods Explaining escription applications |
Geometrical set, calculators
|
KLB Mathematics Book Three Pg 165-166
|
|
| 10 | 2 |
Circles: Chords and Tangents
|
Centroid
|
By the end of the
lesson, the learner
should be able to:
Construct centroid Find centroid properties Apply centroid concepts |
Q/A on centroid definition and properties
Discussions on centroid construction Solving centroid problems Demonstrations of construction techniques Explaining centroid applications |
Geometrical set, calculators
|
KLB Mathematics Book Three Pg 166
|
|
| 10 | 3 |
Circles: Chords and Tangents
|
Orthocenter
Circle and triangle relationships |
By the end of the
lesson, the learner
should be able to:
Construct orthocenter Find orthocenter properties Apply orthocenter concepts |
Q/A on orthocenter concepts
Discussions on orthocenter construction Solving orthocenter problems Demonstrations of construction methods Explaining orthocenter applications |
Geometrical set, calculators
|
KLB Mathematics Book Three Pg 167
|
|
| 10 | 4 |
Matrices
|
Introduction and real-life applications
Order of a matrix and elements Square matrices, row and column matrices |
By the end of the
lesson, the learner
should be able to:
Define matrices and identify matrix applications Recognize matrices in everyday contexts Understand tabular data representation Appreciate the importance of matrices |
Q/A on tabular data in daily life
Discussions on school exam results tables Analyzing bus timetables and price lists Demonstrations using newspaper sports tables Explaining matrix notation using grid patterns |
Old newspapers with league tables, chalk and blackboard, exercise books
Chalk and blackboard, ruled exercise books, class register Paper cutouts, chalk and blackboard, counters or bottle tops |
KLB Mathematics Book Three Pg 168-169
|
|
| 10 | 5 |
Matrices
|
Addition of matrices
Subtraction of matrices Combined addition and subtraction |
By the end of the
lesson, the learner
should be able to:
Add matrices of the same order Apply matrix addition rules correctly Understand compatibility for addition Solve matrix addition problems systematically |
Q/A on matrix addition using number examples
Discussions on element-wise addition using counters Solving basic addition using blackboard work Demonstrations using physical counting objects Explaining compatibility using size comparisons |
Counters or stones, chalk and blackboard, exercise books
Chalk and blackboard, exercise books, number cards made from cardboard Chalk and blackboard, exercise books, locally made operation cards |
KLB Mathematics Book Three Pg 170-171
|
|
| 10 | 6 |
Matrices
|
Scalar multiplication
Introduction to matrix multiplication Matrix multiplication (2×2 matrices) |
By the end of the
lesson, the learner
should be able to:
Multiply matrices by scalar quantities Apply scalar multiplication rules Understand the effect of scalar multiplication Solve scalar multiplication problems |
Q/A on scalar multiplication using times tables
Discussions on scaling using multiplication concepts Solving scalar problems using repeated addition Demonstrations using groups of objects Explaining scalar effects using enlargement concepts |
Beans or stones for grouping, chalk and blackboard, exercise books
Chalk and blackboard, rulers for tracing, exercise books Chalk and blackboard, exercise books, homemade grid templates |
KLB Mathematics Book Three Pg 174-175
|
|
| 10 | 7 |
Matrices
|
Matrix multiplication (larger matrices)
|
By the end of the
lesson, the learner
should be able to:
Multiply matrices of various orders Apply multiplication to 3×3 and larger matrices Determine when multiplication is possible Calculate products efficiently |
Q/A on larger matrix multiplication using patterns
Discussions on efficiency techniques using shortcuts Solving advanced problems using systematic methods Demonstrations using organized calculation procedures Explaining general principles using examples |
Chalk and blackboard, large sheets of paper for working, exercise books
|
KLB Mathematics Book Three Pg 176-179
|
|
| 11 | 1 |
Matrices
|
Properties of matrix multiplication
|
By the end of the
lesson, the learner
should be able to:
Understand non-commutativity of matrix multiplication Apply associative and distributive properties Distinguish between pre and post multiplication Solve problems involving multiplication properties |
Q/A on multiplication properties using counterexamples
Discussions on order importance using practical examples Solving property-based problems using verification Demonstrations using concrete examples Explaining distributive law using expansion |
Chalk and blackboard, exercise books, cardboard for property cards
|
KLB Mathematics Book Three Pg 174-179
|
|
| 11 | 2 |
Matrices
|
Real-world matrix multiplication applications
Identity matrix |
By the end of the
lesson, the learner
should be able to:
Apply matrix multiplication to practical problems Solve business and economic applications Calculate costs, revenues, and quantities Interpret matrix multiplication results |
Q/A on practical applications using local business examples
Discussions on market problems using familiar contexts Solving real-world problems using matrix methods Demonstrations using shop keeper scenarios Explaining result interpretation using meaningful contexts |
Chalk and blackboard, local price lists, exercise books
Chalk and blackboard, exercise books, pattern cards made from paper |
KLB Mathematics Book Three Pg 176-179
|
|
| 11 | 3 |
Matrices
|
Determinant of 2×2 matrices
|
By the end of the
lesson, the learner
should be able to:
Calculate determinants of 2×2 matrices Apply the determinant formula correctly Understand geometric interpretation of determinants Use determinants to classify matrices |
Q/A on determinant calculation using cross multiplication
Discussions on formula application using memory aids Solving determinant problems using systematic approach Demonstrations using cross pattern method Explaining geometric meaning using area concepts |
Chalk and blackboard, exercise books, crossed sticks for demonstration
|
KLB Mathematics Book Three Pg 183
|
|
| 11 | 4 |
Matrices
|
Inverse of 2×2 matrices - theory
|
By the end of the
lesson, the learner
should be able to:
Understand the concept of matrix inverse Identify conditions for matrix invertibility Apply the inverse formula for 2×2 matrices Understand singular matrices |
Q/A on inverse concepts using reciprocal analogy
Discussions on invertibility using determinant conditions Solving basic inverse problems using formula Demonstrations using step-by-step method Explaining singular matrices using zero determinant |
Chalk and blackboard, exercise books, fraction examples
|
KLB Mathematics Book Three Pg 183-185
|
|
| 11 | 5 |
Matrices
|
Inverse of 2×2 matrices - practice
Introduction to solving simultaneous equations |
By the end of the
lesson, the learner
should be able to:
Calculate inverses of 2×2 matrices systematically Verify inverse calculations through multiplication Apply inverse properties correctly Solve complex inverse problems |
Q/A on inverse calculation verification methods
Discussions on accuracy checking using multiplication Solving advanced inverse problems using practice Demonstrations using verification procedures Explaining checking methods using examples |
Chalk and blackboard, exercise books, scrap paper for verification
Chalk and blackboard, exercise books, equation examples from previous topics |
KLB Mathematics Book Three Pg 185-187
|
|
| 11 | 6 |
Matrices
|
Solving 2×2 simultaneous equations using matrices
|
By the end of the
lesson, the learner
should be able to:
Solve 2×2 simultaneous equations using matrix methods Apply inverse matrix techniques Verify solutions by substitution Compare matrix method with other techniques |
Q/A on matrix solution methods using step-by-step approach
Discussions on solution verification using substitution Solving 2×2 systems using complete method Demonstrations using organized solution process Explaining method advantages using comparisons |
Chalk and blackboard, exercise books, previous elimination method examples
|
KLB Mathematics Book Three Pg 188-190
|
|
| 11 | 7 |
Matrices
|
Advanced simultaneous equation problems
Matrix applications in real-world problems |
By the end of the
lesson, the learner
should be able to:
Solve complex simultaneous equation systems Handle systems with no solution or infinite solutions Interpret determinant values in solution context Apply matrix methods to word problems |
Q/A on complex systems using special cases
Discussions on solution types using geometric interpretation Solving challenging problems using complete analysis Demonstrations using classification methods Explaining geometric meaning using line concepts |
Chalk and blackboard, exercise books, graph paper if available
Chalk and blackboard, local business examples, exercise books |
KLB Mathematics Book Three Pg 188-190
|
|
| 12 | 1 |
Matrices
|
Transpose of matrices
|
By the end of the
lesson, the learner
should be able to:
Define and calculate matrix transpose Understand transpose properties Apply transpose operations correctly Solve problems involving transpose |
Q/A on transpose concepts using reflection ideas
Discussions on row-column interchange using visual methods Solving transpose problems using systematic approach Demonstrations using flip and rotate concepts Explaining properties using symmetry ideas |
Chalk and blackboard, exercise books, paper cutouts for demonstration
|
KLB Mathematics Book Three Pg 170-174
|
|
| 12 | 2 |
Matrices
|
Matrix equation solving
|
By the end of the
lesson, the learner
should be able to:
Solve matrix equations systematically Find unknown matrices in equations Apply inverse operations to solve equations Verify matrix equation solutions |
Q/A on equation solving using algebraic analogy
Discussions on unknown determination using systematic methods Solving matrix equations using step-by-step approach Demonstrations using organized solution procedures Explaining verification using checking methods |
Chalk and blackboard, exercise books, algebra reference examples
|
KLB Mathematics Book Three Pg 183-190
|
|
| 12 | 3 |
Formulae and Variations
|
Introduction to formulae
Subject of a formula - basic cases |
By the end of the
lesson, the learner
should be able to:
Define formulae and identify formula components Recognize formulae in everyday contexts Understand the relationship between variables Appreciate the importance of formulae in mathematics |
Q/A on familiar formulae from daily life
Discussions on cooking recipes as formulae Analyzing distance-time relationships using walking examples Demonstrations using perimeter and area calculations Explaining formula notation using simple examples |
Chalk and blackboard, measuring tape or string, exercise books
Chalk and blackboard, simple balance (stones and stick), exercise books |
KLB Mathematics Book Three Pg 191-193
|
|
| 12 | 4 |
Formulae and Variations
|
Subject of a formula - intermediate cases
|
By the end of the
lesson, the learner
should be able to:
Make complex variables the subject of formulae Handle formulae with fractions and powers Apply multiple inverse operations systematically Solve intermediate difficulty problems |
Q/A on complex rearrangement using systematic approach
Discussions on fraction handling using common denominators Solving intermediate problems using organized methods Demonstrations using step-by-step blackboard work Explaining systematic approaches using flowcharts |
Chalk and blackboard, fraction strips made from paper, exercise books
|
KLB Mathematics Book Three Pg 191-193
|
|
| 12 | 5 |
Formulae and Variations
|
Subject of a formula - advanced cases
|
By the end of the
lesson, the learner
should be able to:
Make variables subject in complex formulae Handle square roots and quadratic expressions Apply advanced algebraic manipulation Solve challenging subject transformation problems |
Q/A on advanced manipulation using careful steps
Discussions on square root handling using examples Solving complex problems using systematic approach Demonstrations using detailed blackboard work Explaining quadratic handling using factoring |
Chalk and blackboard, squared paper patterns, exercise books
|
KLB Mathematics Book Three Pg 191-193
|
|
| 12 | 6 |
Formulae and Variations
|
Applications of formula manipulation
Introduction to variation |
By the end of the
lesson, the learner
should be able to:
Apply formula rearrangement to practical problems Solve real-world problems using formula manipulation Calculate unknown quantities in various contexts Interpret results in meaningful situations |
Q/A on practical applications using local examples
Discussions on real-world formula use in farming/building Solving application problems using formula rearrangement Demonstrations using construction and farming scenarios Explaining practical interpretation using community examples |
Chalk and blackboard, local measurement tools, exercise books
Chalk and blackboard, local price lists from markets, exercise books |
KLB Mathematics Book Three Pg 191-193
|
|
| 12 | 7 |
Formulae and Variations
|
Direct variation - introduction
|
By the end of the
lesson, the learner
should be able to:
Understand direct proportionality concepts Recognize direct variation patterns Use direct variation notation correctly Calculate constants of proportionality |
Q/A on direct relationships using simple examples
Discussions on proportional changes using market scenarios Solving basic direct variation problems Demonstrations using doubling and tripling examples Explaining proportionality using ratio concepts |
Chalk and blackboard, beans or stones for counting, exercise books
|
KLB Mathematics Book Three Pg 194-196
|
|
| 13 |
End term exams |
|||||||
| 14 |
Closing week and revision |
|||||||
Your Name Comes Here