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 of school and revision of end term 2 exams |
|||||||
| 2 | 1 |
Matrices
|
Introduction and real-life applications
|
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 |
In groups, learners are guided to:
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
|
KLB Mathematics Book Three Pg 168-169
|
|
| 2 | 2 |
Matrices
|
Order of a matrix and elements
Square matrices, row and column matrices Addition of matrices Subtraction of matrices |
By the end of the
lesson, the learner
should be able to:
Determine the order of given matrices Identify matrix elements by position Use correct notation for matrix elements Distinguish between different matrix types |
In groups, learners are guided to:
Q/A on matrix structure using grid drawings Discussions on rows and columns using classroom seating Solving element location using coordinate games Demonstrations using drawn grids on blackboard Explaining position notation using class register |
Chalk and blackboard, ruled exercise books, class register
Paper cutouts, chalk and blackboard, counters or bottle tops Counters or stones, chalk and blackboard, exercise books Chalk and blackboard, exercise books, number cards made from cardboard |
KLB Mathematics Book Three Pg 169-170
|
|
| 2 | 3 |
Matrices
|
Combined addition and subtraction
Scalar multiplication Introduction to matrix multiplication Matrix multiplication (2×2 matrices) |
By the end of the
lesson, the learner
should be able to:
Perform multiple matrix operations Apply order of operations in matrix calculations Solve complex combined problems Demonstrate systematic problem-solving |
In groups, learners are guided to:
Q/A on operation order using BODMAS rules Discussions on complex expressions using step-by-step approach Solving multi-step problems using organized methods Demonstrations using systematic blackboard work Explaining operation sequencing using flowcharts |
Chalk and blackboard, exercise books, locally made operation cards
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 171-174
|
|
| 2 | 4 |
Matrices
|
Matrix multiplication (larger matrices)
Properties of matrix multiplication |
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 |
In groups, learners are guided to:
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
Chalk and blackboard, exercise books, cardboard for property cards |
KLB Mathematics Book Three Pg 176-179
|
|
| 2 | 5 |
Matrices
|
Real-world matrix multiplication applications
|
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 |
In groups, learners are guided to:
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
|
KLB Mathematics Book Three Pg 176-179
|
|
| 2 | 6 |
Matrices
|
Identity matrix
Determinant of 2×2 matrices |
By the end of the
lesson, the learner
should be able to:
Define and identify identity matrices Understand identity matrix properties Apply identity matrices in multiplication Recognize the multiplicative identity role |
In groups, learners are guided to:
Q/A on identity concepts using number 1 analogy Discussions on multiplicative identity using examples Solving identity problems using pattern recognition Demonstrations using multiplication by 1 concept Explaining diagonal properties using visual patterns |
Chalk and blackboard, exercise books, pattern cards made from paper
Chalk and blackboard, exercise books, crossed sticks for demonstration |
KLB Mathematics Book Three Pg 182-183
|
|
| 2 | 7 |
Matrices
|
Inverse of 2×2 matrices - theory
Inverse of 2×2 matrices - practice |
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 |
In groups, learners are guided to:
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
Chalk and blackboard, exercise books, scrap paper for verification |
KLB Mathematics Book Three Pg 183-185
|
|
| 3 | 1 |
Matrices
|
Introduction to solving simultaneous equations
Solving 2×2 simultaneous equations using matrices |
By the end of the
lesson, the learner
should be able to:
Understand matrix representation of simultaneous equations Identify coefficient and constant matrices Set up matrix equations correctly Recognize the structure of linear systems |
In groups, learners are guided to:
Q/A on equation representation using familiar equations Discussions on coefficient identification using examples Solving setup problems using systematic approach Demonstrations using equation breakdown method Explaining structure using organized layout |
Chalk and blackboard, exercise books, equation examples from previous topics
Chalk and blackboard, exercise books, previous elimination method examples |
KLB Mathematics Book Three Pg 188-189
|
|
| 3 | 2 |
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 |
In groups, learners are guided to:
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
|
|
| 3 | 3 |
Matrices
|
Transpose of matrices
Matrix equation solving |
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 |
In groups, learners are guided to:
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
Chalk and blackboard, exercise books, algebra reference examples |
KLB Mathematics Book Three Pg 170-174
|
|
| 3 | 4 |
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 |
In groups, learners are guided to:
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
|
|
| 3 | 5 |
Formulae and Variations
|
Subject of a formula - intermediate cases
Subject of a formula - advanced 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 |
In groups, learners are guided to:
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
Chalk and blackboard, squared paper patterns, exercise books |
KLB Mathematics Book Three Pg 191-193
|
|
| 3 | 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 |
In groups, learners are guided to:
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
|
|
| 3 | 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 |
In groups, learners are guided to:
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
|
|
| 4 | 1 |
Sequences and Series
|
Introduction to sequences and finding terms
General term of sequences and applications |
By the end of the
lesson, the learner
should be able to:
Define sequences and identify sequence patterns Find next terms using established patterns Recognize different types of sequence patterns Apply pattern recognition systematically |
In groups, learners are guided to:
Q/A on number patterns from daily life Discussions on counting patterns using classroom arrangements Solving pattern completion problems step-by-step Demonstrations using bead or stone arrangements Explaining sequence terminology and pattern continuation |
Chalk and blackboard, stones or beans for patterns, exercise books
Chalk and blackboard, numbered cards made from paper, exercise books |
KLB Mathematics Book Three Pg 207-208
|
|
| 4 | 2 |
Sequences and Series
|
Arithmetic sequences and nth term
Arithmetic sequence applications |
By the end of the
lesson, the learner
should be able to:
Define arithmetic sequences and common differences Calculate common differences correctly Derive and apply the nth term formula Solve problems using arithmetic sequence concepts |
In groups, learners are guided to:
Q/A on arithmetic patterns using step-by-step examples Discussions on constant difference patterns and formula derivation Solving arithmetic sequence problems systematically Demonstrations using equal-step progressions Explaining formula structure using algebraic reasoning |
Chalk and blackboard, measuring tape or string, exercise books
Chalk and blackboard, local employment/savings examples, exercise books |
KLB Mathematics Book Three Pg 209-210
|
|
| 4 | 3 |
Sequences and Series
|
Geometric sequences and nth term
Geometric sequence applications |
By the end of the
lesson, the learner
should be able to:
Define geometric sequences and common ratios Calculate common ratios correctly Derive and apply the geometric nth term formula Understand exponential growth patterns |
In groups, learners are guided to:
Q/A on geometric patterns using multiplication examples Discussions on ratio-based progressions and formula derivation Solving geometric sequence problems systematically Demonstrations using doubling and scaling examples Explaining exponential structure using practical examples |
Chalk and blackboard, objects for doubling demonstrations, exercise books
Chalk and blackboard, population/growth data examples, exercise books |
KLB Mathematics Book Three Pg 211-213
|
|
| 4 | 4 |
Sequences and Series
|
Arithmetic series and sum formula
Geometric series and applications |
By the end of the
lesson, the learner
should be able to:
Define arithmetic series as sums of sequences Derive the sum formula for arithmetic series Apply the arithmetic series formula systematically Calculate sums efficiently using the formula |
In groups, learners are guided to:
Q/A on series concepts using summation examples Discussions on sequence-to-series relationships and formula derivation Solving arithmetic series problems using step-by-step approach Demonstrations using cumulative sum examples Explaining derivation logic using algebraic reasoning |
Chalk and blackboard, counting materials for summation, exercise books
Chalk and blackboard, convergence demonstration materials, exercise books |
KLB Mathematics Book Three Pg 214-215
|
|
| 4 | 5 |
Sequences and Series
|
Mixed problems and advanced applications
Sequences in nature and technology |
By the end of the
lesson, the learner
should be able to:
Combine arithmetic and geometric concepts Solve complex mixed sequence and series problems Apply appropriate methods for different types Model real-world situations using mathematical sequences |
In groups, learners are guided to:
Q/A on problem type identification using systematic analysis Discussions on method selection and comprehensive applications Solving mixed problems using appropriate techniques Demonstrations using interdisciplinary scenarios Explaining method choice using logical reasoning |
Chalk and blackboard, mixed problem collections, exercise books
Chalk and blackboard, natural and technology examples, exercise books |
KLB Mathematics Book Three Pg 207-219
|
|
| 4 | 6 |
Vectors (II)
|
Coordinates in two dimensions
Coordinates in three dimensions |
By the end of the
lesson, the learner
should be able to:
Identify the coordinates of a point in two dimensions Plot points on coordinate planes accurately Understand position representation using coordinates Apply coordinate concepts to practical situations |
In groups, learners are guided to:
Q/A on coordinate identification using grid references Discussions on map reading and location finding Solving coordinate plotting problems using systematic methods Demonstrations using classroom grid systems and floor patterns Explaining coordinate applications using local maps and directions |
Chalk and blackboard, squared paper or grid drawn on ground, exercise books
Chalk and blackboard, 3D models made from sticks and clay, exercise books |
KLB Mathematics Book Three Pg 221-222
|
|
| 4 | 7 |
Vectors (II)
|
Column and position vectors in three dimensions
Position vectors and applications |
By the end of the
lesson, the learner
should be able to:
Find a displacement and represent it in column vector Calculate the position vector Express vectors in column form Apply column vector notation systematically |
In groups, learners are guided to:
Q/A on displacement representation using movement examples Discussions on vector notation using organized column format Solving column vector problems using systematic methods Demonstrations using physical movement and direction examples Explaining vector components using practical displacement |
Chalk and blackboard, movement demonstration space, exercise books
Chalk and blackboard, origin marking systems, exercise books |
KLB Mathematics Book Three Pg 223-224
|
|
| 5 | 1 |
Vectors (II)
|
Column vectors in terms of unit vectors i, j, k
|
By the end of the
lesson, the learner
should be able to:
Express vectors in terms of unit vectors Convert between column and unit vector notation Understand the standard basis vector system Apply unit vector representation systematically |
In groups, learners are guided to:
Q/A on unit vector concepts using direction examples Discussions on component representation using organized methods Solving unit vector problems using systematic conversion Demonstrations using perpendicular direction examples Explaining basis vector concepts using coordinate axes |
Chalk and blackboard, direction indicators, unit vector reference charts, exercise books
|
KLB Mathematics Book Three Pg 226-228
|
|
| 5 | 2 |
Vectors (II)
|
Vector operations using 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 Perform vector addition using unit vector notation Calculate vector subtraction with i, j, k components Apply scalar multiplication to unit vectors |
In groups, learners are guided to:
Q/A on vector operations using component-wise calculation Discussions on systematic operation methods Solving vector operation problems using organized approaches Demonstrations using component separation and combination Explaining operation logic using algebraic reasoning |
Chalk and blackboard, component calculation aids, exercise books
Chalk and blackboard, 3D measurement aids, exercise books |
KLB Mathematics Book Three Pg 226-228
|
|
| 5 | 3 |
Vectors (II)
|
Magnitude applications and unit vectors
Parallel vectors |
By the end of the
lesson, the learner
should be able to:
Calculate the magnitude of a vector in three dimensions Find unit vectors from given vectors Apply magnitude concepts to practical problems Use magnitude in vector normalization |
In groups, learners are guided to:
Q/A on magnitude and unit vector relationships Discussions on normalization and direction finding Solving magnitude and unit vector problems Demonstrations using direction and length separation Explaining practical applications using navigation examples |
Chalk and blackboard, direction finding aids, exercise books
Chalk and blackboard, parallel line demonstrations, exercise books |
KLB Mathematics Book Three Pg 229-230
|
|
| 5 | 4 |
Vectors (II)
|
Collinearity
Advanced collinearity applications |
By the end of the
lesson, the learner
should be able to:
Show that points are collinear Apply vector methods to prove collinearity Test for collinear points using vector techniques Solve collinearity problems systematically |
In groups, learners are guided to:
Q/A on collinearity testing using vector proportion methods Discussions on point alignment using vector analysis Solving collinearity problems using systematic verification Demonstrations using straight-line point examples Explaining collinearity using geometric alignment concepts |
Chalk and blackboard, straight-line demonstrations, exercise books
Chalk and blackboard, complex geometric aids, exercise books |
KLB Mathematics Book Three Pg 232-234
|
|
| 5 | 5 |
Vectors (II)
|
Proportional division of a line
External division of a line |
By the end of the
lesson, the learner
should be able to:
Divide a line internally in the given ratio Apply the internal division formula Calculate division points using vector methods Understand proportional division concepts |
In groups, learners are guided to:
Q/A on internal division using systematic formula application Discussions on ratio division using proportional methods Solving internal division problems using organized approaches Demonstrations using internal point construction examples Explaining internal division using geometric visualization |
Chalk and blackboard, internal division models, exercise books
Chalk and blackboard, external division models, exercise books |
KLB Mathematics Book Three Pg 237-238
|
|
| 5 | 6 |
Vectors (II)
|
Combined internal and external division
Ratio theorem |
By the end of the
lesson, the learner
should be able to:
Divide a line internally and externally in the given ratio Apply both division formulas systematically Compare internal and external division results Handle mixed division problems |
In groups, learners are guided to:
Q/A on combined division using comparative methods Discussions on division type selection using problem analysis Solving combined division problems using systematic approaches Demonstrations using both division types Explaining division relationships using geometric reasoning |
Chalk and blackboard, combined division models, exercise books
Chalk and blackboard, ratio theorem aids, exercise books |
KLB Mathematics Book Three Pg 239
|
|
| 5 | 7 |
Vectors (II)
|
Advanced ratio theorem applications
Mid-point |
By the end of the
lesson, the learner
should be able to:
Find the position vector Apply ratio theorem to complex scenarios Solve multi-step ratio problems Use ratio theorem in geometric proofs |
In groups, learners are guided to:
Q/A on advanced ratio applications using complex problems Discussions on multi-step ratio calculation Solving challenging ratio problems using systematic methods Demonstrations using comprehensive ratio examples Explaining advanced applications using detailed reasoning |
Chalk and blackboard, advanced ratio models, exercise books
Chalk and blackboard, midpoint demonstration aids, exercise books |
KLB Mathematics Book Three Pg 242
|
|
| 6 |
MID TERM EXAMINATIONS |
|||||||
| 7 | 1 |
Vectors (II)
|
Ratio theorem and midpoint integration
Advanced ratio theorem applications |
By the end of the
lesson, the learner
should be able to:
Use ratio theorem to find the given vectors Apply midpoint and ratio concepts together Solve complex ratio and midpoint problems Integrate division and midpoint methods |
In groups, learners are guided to:
Q/A on integrated problem-solving using combined methods Discussions on complex scenario analysis using systematic approaches Solving challenging problems using integrated techniques Demonstrations using comprehensive geometric examples Explaining integration using logical problem-solving |
Chalk and blackboard, complex problem materials, exercise books
Chalk and blackboard, advanced geometric aids, exercise books |
KLB Mathematics Book Three Pg 244-245
|
|
| 7 | 2 |
Vectors (II)
|
Applications of vectors in geometry
Rectangle diagonal applications |
By the end of the
lesson, the learner
should be able to:
Use vectors to show the diagonals of a parallelogram Apply vector methods to geometric proofs Demonstrate parallelogram properties using vectors Solve geometric problems using vector techniques |
In groups, learners are guided to:
Q/A on geometric proof using vector methods Discussions on parallelogram properties using vector analysis Solving geometric problems using systematic vector techniques Demonstrations using vector-based geometric constructions Explaining geometric relationships using vector reasoning |
Chalk and blackboard, parallelogram models, exercise books
Chalk and blackboard, rectangle models, exercise books |
KLB Mathematics Book Three Pg 248-249
|
|
| 7 | 3 |
Vectors (II)
|
Advanced geometric applications
|
By the end of the
lesson, the learner
should be able to:
Use vectors to show geometric properties Apply vectors to complex geometric proofs Solve challenging geometric problems using vectors Integrate all vector concepts in geometric contexts |
In groups, learners are guided to:
Q/A on comprehensive geometric applications using vector methods Discussions on advanced proof techniques using vectors Solving complex geometric problems using integrated approaches Demonstrations using sophisticated geometric constructions Explaining advanced applications using comprehensive reasoning |
Chalk and blackboard, advanced geometric models, exercise books
|
KLB Mathematics Book Three Pg 248-250
|
|
| 8 |
END TERM EXAMINATIONS |
|||||||
Your Name Comes Here