If this scheme pleases you, click here to download.
| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 1 |
Reporting |
|||||||
| 1 | 3 |
Sequences and Series
|
Arithmetic sequences and nth term
|
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 |
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
|
KLB Mathematics Book Three Pg 209-210
|
|
| 1 | 4 |
Sequences and Series
|
Arithmetic sequence applications
|
By the end of the
lesson, the learner
should be able to:
Solve complex arithmetic sequence problems Apply arithmetic sequences to real-world problems Handle word problems involving arithmetic sequences Model practical situations using arithmetic progressions |
Q/A on practical applications using local business examples
Discussions on salary progression and savings plans Solving real-world problems using sequence methods Demonstrations using employment and finance scenarios Explaining practical interpretation using meaningful contexts |
Chalk and blackboard, local employment/savings examples, exercise books
|
KLB Mathematics Book Three Pg 209-210
|
|
| 1 | 5 |
Sequences and Series
|
Geometric sequences and nth term
|
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 |
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
|
KLB Mathematics Book Three Pg 211-213
|
|
| 1 | 6 |
Sequences and Series
|
Geometric sequence applications
Arithmetic series and sum formula |
By the end of the
lesson, the learner
should be able to:
Solve complex geometric sequence problems Apply geometric sequences to real-world problems Handle population growth and depreciation problems Model exponential patterns using sequences |
Q/A on practical applications using population/growth examples
Discussions on exponential growth in nature and economics Solving real-world problems using geometric methods Demonstrations using population and business scenarios Explaining practical interpretation using meaningful contexts |
Chalk and blackboard, population/growth data examples, exercise books
Chalk and blackboard, counting materials for summation, exercise books |
KLB Mathematics Book Three Pg 211-213
|
|
| 1 | 7 |
Sequences and Series
|
Geometric series and applications
|
By the end of the
lesson, the learner
should be able to:
Define geometric series and understand convergence Derive and apply geometric series formulas Handle finite and infinite geometric series Apply geometric series to practical situations |
Q/A on geometric series concepts using multiplication examples
Discussions on convergence and formula applications Solving geometric series problems including infinite cases Demonstrations using geometric sum patterns Explaining convergence using practical examples |
Chalk and blackboard, convergence demonstration materials, exercise books
|
KLB Mathematics Book Three Pg 216-219
|
|
| 2 | 1 |
Sequences and Series
|
Mixed problems and advanced applications
|
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 |
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
|
KLB Mathematics Book Three Pg 207-219
|
|
| 2 | 2 |
Sequences and Series
|
Sequences in nature and technology
|
By the end of the
lesson, the learner
should be able to:
Identify mathematical patterns in natural phenomena Analyze sequences in biological and technological contexts Apply sequence concepts to environmental problems Appreciate mathematics in the natural and modern world |
Q/A on natural and technological patterns using examples
Discussions on biological sequences and digital applications Solving nature and technology-based problems Demonstrations using natural pattern examples Explaining mathematical beauty using real phenomena |
Chalk and blackboard, natural and technology examples, exercise books
|
KLB Mathematics Book Three Pg 207-219
|
|
| 2 | 3 |
Vectors (II)
|
Coordinates in two 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 |
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
|
KLB Mathematics Book Three Pg 221-222
|
|
| 2 | 4 |
Vectors (II)
|
Coordinates in three dimensions
|
By the end of the
lesson, the learner
should be able to:
Identify the coordinates of a point in three dimensions Understand the three-dimensional coordinate system Plot points in 3D space systematically Apply 3D coordinates to spatial problems |
Q/A on 3D coordinate understanding using room corner references
Discussions on height, length, and width measurements Solving 3D coordinate problems using systematic approaches Demonstrations using classroom corners and building structures Explaining 3D visualization using physical room examples |
Chalk and blackboard, 3D models made from sticks and clay, exercise books
|
KLB Mathematics Book Three Pg 222
|
|
| 2 | 5 |
Vectors (II)
|
Column and position vectors in three dimensions
|
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 |
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
|
KLB Mathematics Book Three Pg 223-224
|
|
| 2 | 6 |
Vectors (II)
|
Position vectors and applications
Column vectors in terms of unit vectors i, j, k |
By the end of the
lesson, the learner
should be able to:
Calculate the position vector Apply position vectors to geometric problems Find distances using position vector methods Solve positioning problems systematically |
Q/A on position vector calculation using origin references
Discussions on position determination using coordinate methods Solving position vector problems using systematic calculation Demonstrations using fixed origin and variable endpoints Explaining position concepts using practical location examples |
Chalk and blackboard, origin marking systems, exercise books
Chalk and blackboard, direction indicators, unit vector reference charts, exercise books |
KLB Mathematics Book Three Pg 224
|
|
| 2 | 7 |
Vectors (II)
|
Vector operations using unit vectors
|
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 |
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
|
KLB Mathematics Book Three Pg 226-228
|
|
| 3 |
OPENER EXAMS |
|||||||
| 3 | 6 |
Vectors (II)
|
Magnitude of a vector in three dimensions
|
By the end of the
lesson, the learner
should be able to:
Calculate the magnitude of a vector in three dimensions Apply the 3D magnitude formula systematically Find vector lengths in spatial contexts Solve magnitude problems accurately |
Q/A on 3D magnitude using extended Pythagorean methods
Discussions on spatial distance calculation using 3D techniques Solving 3D magnitude problems using systematic calculation Demonstrations using 3D distance examples Explaining 3D magnitude using practical spatial examples |
Chalk and blackboard, 3D measurement aids, exercise books
|
KLB Mathematics Book Three Pg 229-230
|
|
| 3 | 7 |
Vectors (II)
|
Magnitude applications and unit 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 |
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
|
KLB Mathematics Book Three Pg 229-230
|
|
| 4 | 1 |
Vectors (II)
|
Parallel vectors
|
By the end of the
lesson, the learner
should be able to:
Identify parallel vectors Determine when vectors are parallel Apply parallel vector properties Use scalar multiples in parallel relationships |
Q/A on parallel identification using scalar multiple methods
Discussions on parallel relationships using geometric examples Solving parallel vector problems using systematic testing Demonstrations using parallel line and direction examples Explaining parallel concepts using geometric reasoning |
Chalk and blackboard, parallel line demonstrations, exercise books
|
KLB Mathematics Book Three Pg 231-232
|
|
| 4 | 2 |
Vectors (II)
|
Collinearity
|
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 |
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
|
KLB Mathematics Book Three Pg 232-234
|
|
| 4 | 3 |
Vectors (II)
|
Advanced collinearity applications
|
By the end of the
lesson, the learner
should be able to:
Show that points are collinear Apply collinearity to complex geometric problems Integrate parallel and collinearity concepts Solve advanced alignment problems |
Q/A on advanced collinearity using complex scenarios
Discussions on geometric proof using vector methods Solving challenging collinearity problems Demonstrations using complex geometric constructions Explaining advanced applications using comprehensive examples |
Chalk and blackboard, complex geometric aids, exercise books
|
KLB Mathematics Book Three Pg 232-234
|
|
| 4 | 4 |
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 |
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
|
|
| 4 | 5 |
Vectors (II)
|
Combined internal and external division
|
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 |
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
|
KLB Mathematics Book Three Pg 239
|
|
| 4 | 6 |
Vectors (II)
|
Ratio theorem
|
By the end of the
lesson, the learner
should be able to:
Express position vectors Apply the ratio theorem to geometric problems Use ratio theorem in complex calculations Find position vectors using ratio relationships |
Q/A on ratio theorem application using systematic methods
Discussions on position vector calculation using ratio methods Solving ratio theorem problems using organized approaches Demonstrations using ratio-based position finding Explaining theorem applications using logical reasoning |
Chalk and blackboard, ratio theorem aids, exercise books
|
KLB Mathematics Book Three Pg 240-242
|
|
| 4 | 7 |
Vectors (II)
|
Advanced ratio theorem applications
|
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 |
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
|
KLB Mathematics Book Three Pg 242
|
|
| 5 | 1 |
Vectors (II)
|
Mid-point
|
By the end of the
lesson, the learner
should be able to:
Find the mid-points of the given vectors Apply midpoint formulas in vector contexts Use midpoint concepts in geometric problems Calculate midpoints systematically |
Q/A on midpoint calculation using vector averaging methods
Discussions on midpoint applications using geometric examples Solving midpoint problems using systematic approaches Demonstrations using midpoint construction and calculation Explaining midpoint concepts using practical examples |
Chalk and blackboard, midpoint demonstration aids, exercise books
|
KLB Mathematics Book Three Pg 243
|
|
| 5 | 2 |
Vectors (II)
|
Ratio theorem and midpoint integration
|
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 |
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
|
KLB Mathematics Book Three Pg 244-245
|
|
| 5 | 3 |
Vectors (II)
|
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 ratio theorem to challenging problems Handle complex geometric applications Demonstrate comprehensive ratio mastery |
Q/A on comprehensive ratio understanding using advanced problems
Discussions on complex ratio relationships Solving advanced ratio problems using systematic methods Demonstrations using sophisticated geometric constructions Explaining mastery using challenging applications |
Chalk and blackboard, advanced geometric aids, exercise books
|
KLB Mathematics Book Three Pg 246-248
|
|
| 5 | 4 |
Vectors (II)
|
Applications of vectors in geometry
|
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 |
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
|
KLB Mathematics Book Three Pg 248-249
|
|
| 5 | 5 |
Vectors (II)
|
Rectangle diagonal applications
Advanced geometric applications |
By the end of the
lesson, the learner
should be able to:
Use vectors to show the diagonals of a rectangle Apply vector methods to rectangle properties Prove rectangle theorems using vectors Compare parallelogram and rectangle diagonal properties |
Q/A on rectangle properties using vector analysis
Discussions on diagonal relationships using vector methods Solving rectangle problems using systematic approaches Demonstrations using rectangle constructions and vector proofs Explaining rectangle properties using vector reasoning |
Chalk and blackboard, rectangle models, exercise books
Chalk and blackboard, advanced geometric models, exercise books |
KLB Mathematics Book Three Pg 248-250
|
|
| 5 | 6 |
Binomial Expansion
|
Binomial expansions up to power four
|
By the end of the
lesson, the learner
should be able to:
Expand binomial function up to power four Apply systematic multiplication methods Recognize coefficient patterns in expansions Use multiplication to expand binomial expressions |
Q/A on algebraic multiplication using familiar expressions
Discussions on systematic expansion using step-by-step methods Solving basic binomial multiplication problems Demonstrations using area models and rectangular arrangements Explaining pattern recognition using organized layouts |
Chalk and blackboard, rectangular cutouts from paper, exercise books
|
KLB Mathematics Book Three Pg 256
|
|
| 5 | 7 |
Binomial Expansion
|
Binomial expansions up to power four (continued)
|
By the end of the
lesson, the learner
should be able to:
Expand binomial function up to power four Handle increasingly complex coefficient patterns Apply systematic expansion techniques efficiently Verify expansions using substitution methods |
Q/A on power expansion using multiplication techniques
Discussions on coefficient identification using pattern analysis Solving expansion problems using systematic approaches Demonstrations using geometric representations Explaining verification methods using numerical substitution |
Chalk and blackboard, squared paper for geometric models, exercise books
|
KLB Mathematics Book Three Pg 256
|
|
| 6 | 1 |
Binomial Expansion
|
Pascal's triangle
|
By the end of the
lesson, the learner
should be able to:
Use Pascal's triangle Construct Pascal's triangle systematically Apply triangle coefficients for binomial expansions Recognize number patterns in the triangle |
Q/A on triangle construction using addition patterns
Discussions on coefficient relationships using triangle analysis Solving triangle construction and application problems Demonstrations using visual triangle building Explaining pattern connections using systematic observation |
Chalk and blackboard, triangular patterns drawn/cut from paper, exercise books
|
KLB Mathematics Book Three Pg 256-257
|
|
| 6 | 2 |
Binomial Expansion
|
Pascal's triangle applications
|
By the end of the
lesson, the learner
should be able to:
Use Pascal's triangle Apply Pascal's triangle to binomial expansions efficiently Use triangle coefficients for various powers Solve expansion problems using triangle methods |
Q/A on triangle application using coefficient identification
Discussions on efficient expansion using triangle methods Solving expansion problems using Pascal's triangle Demonstrations using triangle-guided calculations Explaining efficiency benefits using comparative methods |
Chalk and blackboard, Pascal's triangle reference charts, exercise books
|
KLB Mathematics Book Three Pg 257-258
|
|
| 6 | 3 |
Binomial Expansion
|
Pascal's triangle (continued)
|
By the end of the
lesson, the learner
should be able to:
Use Pascal's triangle Apply triangle to complex expansion problems Handle higher powers using Pascal's triangle Integrate triangle concepts with algebraic expansion |
Q/A on advanced triangle applications using complex examples
Discussions on higher power expansion using triangle methods Solving challenging problems using Pascal's triangle Demonstrations using detailed triangle constructions Explaining integration using comprehensive examples |
Chalk and blackboard, advanced triangle patterns, exercise books
|
KLB Mathematics Book Three Pg 258-259
|
|
| 6 | 4 |
Binomial Expansion
|
Pascal's triangle advanced
|
By the end of the
lesson, the learner
should be able to:
Use Pascal's triangle Apply general binomial theorem concepts Understand combination notation in expansions Use general term formula applications |
Q/A on general formula understanding using pattern analysis
Discussions on combination notation using counting principles Solving general term problems using formula application Demonstrations using systematic formula usage Explaining general principles using algebraic reasoning |
Chalk and blackboard, combination calculation aids, exercise books
|
KLB Mathematics Book Three Pg 258-259
|
|
| 6 | 5 |
Binomial Expansion
|
Applications to numerical cases
Applications to numerical cases (continued) |
By the end of the
lesson, the learner
should be able to:
Use binomial expansion to solve numerical problems Apply expansions for numerical approximations Calculate values using binomial methods Understand practical applications of expansions |
Q/A on numerical applications using approximation techniques
Discussions on calculation shortcuts using expansion methods Solving numerical problems using binomial approaches Demonstrations using practical calculation scenarios Explaining approximation benefits using real examples |
Chalk and blackboard, simple calculation aids, exercise books
Chalk and blackboard, advanced calculation examples, exercise books |
KLB Mathematics Book Three Pg 259-260
|
|
| 6 | 6 |
Compound Proportion and Rates of Work
|
Compound Proportions
|
By the end of the
lesson, the learner
should be able to:
Find the compound proportions Understand compound proportion relationships Apply compound proportion methods systematically Solve problems involving multiple variables |
Q/A on compound relationships using practical examples
Discussions on multiple variable situations using local scenarios Solving compound proportion problems using systematic methods Demonstrations using business and trade examples Explaining compound proportion logic using step-by-step reasoning |
Chalk and blackboard, local business examples, calculators if available, exercise books
|
KLB Mathematics Book Three Pg 288-290
|
|
| 6 | 7 |
Compound Proportion and Rates of Work
|
Compound Proportions applications
|
By the end of the
lesson, the learner
should be able to:
Find the compound proportions Apply compound proportions to complex problems Handle multi-step compound proportion scenarios Solve real-world compound proportion problems |
Q/A on advanced compound proportion using complex scenarios
Discussions on multi-variable relationships using practical contexts Solving challenging compound problems using systematic approaches Demonstrations using construction and farming examples Explaining practical applications using community-based scenarios |
Chalk and blackboard, construction/farming examples, exercise books
|
KLB Mathematics Book Three Pg 290-291
|
|
| 7 | 1 |
Compound Proportion and Rates of Work
|
Proportional Parts
|
By the end of the
lesson, the learner
should be able to:
Calculate the proportional parts Understand proportional division concepts Apply proportional parts to sharing problems Solve distribution problems using proportional methods |
Q/A on proportional sharing using practical examples
Discussions on fair distribution using ratio concepts Solving proportional parts problems using systematic division Demonstrations using sharing scenarios and inheritance examples Explaining proportional distribution using logical reasoning |
Chalk and blackboard, sharing demonstration materials, exercise books
|
KLB Mathematics Book Three Pg 291-293
|
|
| 7 | 2 |
Compound Proportion and Rates of Work
|
Proportional Parts applications
|
By the end of the
lesson, the learner
should be able to:
Calculate the proportional parts Apply proportional parts to complex sharing scenarios Handle business partnership profit sharing Solve advanced proportional distribution problems |
Q/A on complex proportional sharing using business examples
Discussions on partnership profit distribution using practical scenarios Solving advanced proportional problems using systematic methods Demonstrations using business partnership and investment examples Explaining practical applications using meaningful contexts |
Chalk and blackboard, business partnership examples, exercise books
|
KLB Mathematics Book Three Pg 291-293
|
|
| 7 | 3 |
Compound Proportion and Rates of Work
|
Rates of Work
|
By the end of the
lesson, the learner
should be able to:
Calculate the rate of work Understand work rate relationships Apply time-work-efficiency concepts Solve basic rate of work problems |
Q/A on work rate calculation using practical examples
Discussions on efficiency and time relationships using work scenarios Solving basic rate of work problems using systematic methods Demonstrations using construction and labor examples Explaining work rate concepts using practical work situations |
Chalk and blackboard, work scenario examples, exercise books
|
KLB Mathematics Book Three Pg 294-295
|
|
| 7 | 4 |
Compound Proportion and Rates of Work
|
Rates of Work and Mixtures
|
By the end of the
lesson, the learner
should be able to:
Calculate the rate of work Apply work rates to complex scenarios Handle mixture problems and combinations Solve advanced rate and mixture problems |
Q/A on advanced work rates using complex scenarios
Discussions on mixture problems using practical examples Solving challenging rate and mixture problems using systematic approaches Demonstrations using cooking, construction, and manufacturing examples Explaining mixture concepts using practical applications |
Chalk and blackboard, mixture demonstration materials, exercise books
|
KLB Mathematics Book Three Pg 295-296
|
|
| 7 | 5 |
Graphical Methods
|
Tables of given relations
Graphs of given relations |
By the end of the
lesson, the learner
should be able to:
Draw tables of given relations Construct organized data tables systematically Prepare data for graphical representation Understand relationship between variables |
Q/A on table construction using systematic data organization
Discussions on variable relationships using practical examples Solving table preparation problems using organized methods Demonstrations using data collection and tabulation Explaining systematic data arrangement using logical procedures |
Chalk and blackboard, ruled paper for tables, exercise books
Chalk and blackboard, graph paper or grids, rulers, exercise books |
KLB Mathematics Book Three Pg 299
|
|
| 7 | 6 |
Graphical Methods
|
Tables and graphs integration
|
By the end of the
lesson, the learner
should be able to:
Draw tables and graphs of given relations Integrate table construction with graph plotting Analyze relationships using both methods Compare tabular and graphical representations |
Q/A on integrated table-graph construction using comprehensive methods
Discussions on data flow from tables to graphs Solving integrated problems using systematic approaches Demonstrations using complete data analysis procedures Explaining relationship analysis using combined methods |
Chalk and blackboard, graph paper, data examples, exercise books
|
KLB Mathematics Book Three Pg 299-300
|
|
| 7 | 7 |
Graphical Methods
|
Introduction to cubic equations
|
By the end of the
lesson, the learner
should be able to:
Draw tables of cubic functions Understand cubic equation characteristics Prepare cubic function data systematically Recognize cubic curve patterns |
Q/A on cubic function evaluation using systematic calculation
Discussions on cubic equation properties using mathematical analysis Solving cubic table preparation using organized methods Demonstrations using cubic function examples Explaining cubic characteristics using pattern recognition |
Chalk and blackboard, cubic function examples, exercise books
|
KLB Mathematics Book Three Pg 301
|
|
| 8 | 1 |
Graphical Methods
|
Graphical solution of cubic equations
|
By the end of the
lesson, the learner
should be able to:
Draw graphs of cubic equations Plot cubic curves accurately Use graphs to solve cubic equations Find roots using graphical methods |
Q/A on cubic curve plotting using systematic point plotting
Discussions on curve characteristics and root finding Solving cubic graphing problems using careful plotting Demonstrations using cubic curve construction Explaining root identification using graph analysis |
Chalk and blackboard, graph paper, cubic equation examples, exercise books
|
KLB Mathematics Book Three Pg 302-304
|
|
| 8 | 2 |
Graphical Methods
|
Advanced cubic solutions
|
By the end of the
lesson, the learner
should be able to:
Draw graphs of cubic equations Apply graphical methods to complex cubic problems Handle multiple root scenarios Verify solutions using graphical analysis |
Q/A on advanced cubic graphing using complex examples
Discussions on multiple root identification using graph analysis Solving challenging cubic problems using systematic methods Demonstrations using detailed cubic constructions Explaining verification methods using graphical checking |
Chalk and blackboard, advanced graph examples, exercise books
|
KLB Mathematics Book Three Pg 302-304
|
|
| 8 | 3 |
Graphical Methods
|
Introduction to rates of change
|
By the end of the
lesson, the learner
should be able to:
Calculate the average rates of change Understand rate of change concepts Apply rate calculations to practical problems Interpret rate meanings in context |
Q/A on rate calculation using slope methods
Discussions on rate interpretation using practical examples Solving basic rate problems using systematic calculation Demonstrations using speed-time and distance examples Explaining rate concepts using practical analogies |
Chalk and blackboard, rate calculation examples, exercise books
|
KLB Mathematics Book Three Pg 304-306
|
|
| 8 | 4 |
Graphical Methods
|
Average rates of change
|
By the end of the
lesson, the learner
should be able to:
Calculate the average rates of change Apply average rate methods to various functions Use graphical methods for rate calculation Solve practical rate problems |
Q/A on average rate calculation using graphical methods
Discussions on rate applications using real-world scenarios Solving average rate problems using systematic approaches Demonstrations using graph-based rate calculation Explaining practical applications using meaningful contexts |
Chalk and blackboard, graph paper, rate examples, exercise books
|
KLB Mathematics Book Three Pg 304-306
|
|
| 8 | 5 |
Graphical Methods
|
Advanced average rates
Introduction to instantaneous rates |
By the end of the
lesson, the learner
should be able to:
Calculate the average rates of change Handle complex rate scenarios Apply rates to business and scientific problems Integrate rate concepts with other topics |
Q/A on complex rate applications using advanced scenarios
Discussions on business and scientific rate applications Solving challenging rate problems using integrated methods Demonstrations using comprehensive rate examples Explaining advanced applications using detailed analysis |
Chalk and blackboard, advanced rate scenarios, exercise books
Chalk and blackboard, tangent line examples, exercise books |
KLB Mathematics Book Three Pg 304-310
|
|
| 8 | 6 |
Graphical Methods
|
Rate of change at an instant
|
By the end of the
lesson, the learner
should be able to:
Calculate the rate of change at an instant Apply instantaneous rate methods systematically Use graphical techniques for instant rates Solve practical instantaneous rate problems |
Q/A on instantaneous rate calculation using graphical methods
Discussions on tangent line slope interpretation Solving instantaneous rate problems using systematic approaches Demonstrations using detailed tangent constructions Explaining practical applications using real scenarios |
Chalk and blackboard, detailed graph examples, exercise books
|
KLB Mathematics Book Three Pg 310-311
|
|
| 8 | 7 |
Graphical Methods
|
Advanced instantaneous rates
|
By the end of the
lesson, the learner
should be able to:
Calculate the rate of change at an instant Handle complex instantaneous rate scenarios Apply instant rates to advanced problems Integrate instantaneous concepts with applications |
Q/A on advanced instantaneous applications using complex examples
Discussions on sophisticated rate problems using detailed analysis Solving challenging instantaneous problems using systematic methods Demonstrations using comprehensive rate constructions Explaining advanced applications using detailed reasoning |
Chalk and blackboard, advanced rate examples, exercise books
|
KLB Mathematics Book Three Pg 310-315
|
|
| 9 | 1 |
Graphical Methods
|
Empirical graphs
|
By the end of the
lesson, the learner
should be able to:
Draw the empirical graphs Understand empirical data representation Plot experimental data systematically Analyze empirical relationships |
Q/A on empirical data plotting using experimental examples
Discussions on real data representation using practical scenarios Solving empirical graphing problems using systematic methods Demonstrations using experimental data examples Explaining empirical analysis using practical interpretations |
Chalk and blackboard, experimental data examples, exercise books
|
KLB Mathematics Book Three Pg 315-316
|
|
| 9 | 2 |
Graphical Methods
|
Advanced empirical methods
|
By the end of the
lesson, the learner
should be able to:
Draw the empirical graphs Apply empirical methods to complex data Handle large datasets and trends Interpret empirical results meaningfully |
Q/A on advanced empirical techniques using complex datasets
Discussions on trend analysis using systematic methods Solving challenging empirical problems using organized approaches Demonstrations using comprehensive data analysis Explaining advanced interpretations using detailed reasoning |
Chalk and blackboard, complex data examples, exercise books
|
KLB Mathematics Book Three Pg 315-321
|
|
| 9 |
END YEAR EXAMS AND CLOSING |
|||||||
Your Name Comes Here