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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 1 |
Opening of school |
|||||||
| 1 | 5 |
Sequences and Series
|
Introduction to sequences and finding terms
|
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 |
Discussions on counting patterns using classroom arrangements Solving pattern completion problems step-by-step Demonstrations using bead or stone arrangements |
Chalk and blackboard, stones or beans for patterns, exercise books
|
KLB Mathematics Book Three Pg 207-208
|
|
| 1 | 6 |
Sequences and Series
|
General term of sequences and applications
|
By the end of the
lesson, the learner
should be able to:
Develop general rules for sequences Express the nth term using algebraic notation Find specific terms using general formulas |
Discussions on algebraic expression development Solving general term and application problems Demonstrations using position-value relationship |
Chalk and blackboard, numbered cards made from paper, exercise books
|
KLB Mathematics Book Three Pg 207-208
|
|
| 1 | 7 |
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 |
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
|
|
| 2 | 1 |
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 |
Discussions on salary progression and savings plans Solving real-world problems using sequence methods Demonstrations using employment and finance |
Chalk and blackboard, local employment/savings examples, exercise books
|
KLB Mathematics Book Three Pg 209-210
|
|
| 2 | 2 |
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 |
Discussions on ratio-based progressions and formula derivation Solving geometric sequence problems systematically Demonstrations using doubling and scaling examples |
Chalk and blackboard, objects for doubling demonstrations, exercise books
|
KLB Mathematics Book Three Pg 211-213
|
|
| 2 | 3 |
Sequences and Series
|
Geometric sequence applications
|
By the end of the
lesson, the learner
should be able to:
Solve complex geometric sequence problems Apply geometric sequences to real-world problems |
Discussions on exponential growth in nature and economics Solving real-world problems using geometric methods Demonstrations using population and business scenarios |
Chalk and blackboard, population/growth data examples, exercise books
|
KLB Mathematics Book Three Pg 211-213
|
|
| 2 | 4 |
Sequences and Series
|
Arithmetic series and sum formula
|
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 |
Discussions on sequence-to-series relationships and formula derivation Solving arithmetic series problems using step-by-step approach Demonstrations using cumulative sum examples |
Chalk and blackboard, counting materials for summation, exercise books
|
KLB Mathematics Book Three Pg 214-215
|
|
| 2 | 5 |
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 |
Discussions on convergence and formula applications Solving geometric series problems including infinite cases Demonstrations using geometric sum patterns |
Chalk and blackboard, convergence demonstration materials, exercise books
|
KLB Mathematics Book Three Pg 216-219
|
|
| 2 | 6 |
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 |
Discussions on method selection and comprehensive applications Solving mixed problems using appropriate techniques Demonstrations using interdisciplinary scenarios |
Chalk and blackboard, mixed problem collections, exercise books
|
KLB Mathematics Book Three Pg 207-219
|
|
| 2 | 7 |
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 |
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
|
|
| 3 | 1 |
Probability
|
Introduction
|
By the end of the
lesson, the learner
should be able to:
Calculate the experimental probability Understand probability concepts in daily life Distinguish between certain and uncertain events |
Discussions on weather prediction and game outcomes Analyzing chance events using coin tossing and dice rolling Demonstrations using simple probability experiments |
Chalk and blackboard, coins, dice made from cardboard, exercise books
|
KLB Mathematics Book Three Pg 262-264
|
|
| 3 | 2 |
Probability
|
Experimental Probability
|
By the end of the
lesson, the learner
should be able to:
Calculate the experimental probability Conduct probability experiments systematically Record and analyze experimental data Compare experimental results with expectations |
Q/A on frequency counting using repeated experiments
Discussions on trial repetition and result recording Solving experimental probability problems using data collection Demonstrations using coin toss and dice roll experiments |
Chalk and blackboard, coins, cardboard dice, tally charts, exercise books
|
KLB Mathematics Book Three Pg 262-264
|
|
| 3 | 3 |
Probability
|
Experimental Probability applications
|
By the end of the
lesson, the learner
should be able to:
Calculate the experimental probability Apply experimental methods to various scenarios Handle large sample experiments |
Discussions on sample size effects using comparative data Solving complex experimental problems using systematic methods Demonstrations using extended experimental procedures |
Chalk and blackboard, extended experimental materials, data recording sheets, exercise books
|
KLB Mathematics Book Three Pg 262-264
|
|
| 3 | 4 |
Probability
|
Range of Probability Measure
|
By the end of the
lesson, the learner
should be able to:
Calculate the range of probability measure Express probabilities on scale from 0 to 1 Convert between fractions, decimals, and percentages |
Discussions on probability conversion between forms Solving probability scale problems using systematic methods Demonstrations using probability line and scale examples |
Chalk and blackboard, number line drawings, probability scale charts, exercise books
|
KLB Mathematics Book Three Pg 265-266
|
|
| 3 | 5 |
Probability
|
Probability Space
|
By the end of the
lesson, the learner
should be able to:
Calculate the probability space for the theoretical probability Define sample space systematically List all possible outcomes Apply sample space concepts |
Q/A on outcome listing using systematic enumeration
Discussions on complete outcome identification Solving sample space problems using organized listing Demonstrations using dice, cards, and spinner examples |
Chalk and blackboard, playing cards (locally made), spinners from cardboard, exercise books
|
KLB Mathematics Book Three Pg 266-267
|
|
| 3 | 6 |
Probability
|
Theoretical Probability
|
By the end of the
lesson, the learner
should be able to:
Calculate the probability space for the theoretical probability Apply mathematical reasoning to find probabilities Use equally likely outcome assumptions |
Discussions on equally likely assumptions and calculations Solving theoretical problems using systematic approaches Demonstrations using fair dice and unbiased coin examples |
Chalk and blackboard, fair dice and coins, probability calculation aids, exercise books
|
KLB Mathematics Book Three Pg 266-268
|
|
| 3 | 7 |
Probability
|
Theoretical Probability advanced
|
By the end of the
lesson, the learner
should be able to:
Calculate the probability space for the theoretical probability Apply theoretical probability to complex problems |
Discussions on multiple outcome analysis using systematic methods Solving challenging theoretical problems using organized approaches Demonstrations using complex probability setups |
Chalk and blackboard, complex probability materials, advanced calculation aids, exercise books
|
KLB Mathematics Book Three Pg 268-270
|
|
| 4 | 1 |
Probability
|
Theoretical Probability applications
|
By the end of the
lesson, the learner
should be able to:
Calculate the probability space for the theoretical probability Apply theoretical concepts to real situations |
Discussions on real-world applications using community scenarios Solving application problems using theoretical methods Demonstrations using local games and practical situations |
Chalk and blackboard, local game examples, practical scenario materials, exercise books
|
KLB Mathematics Book Three Pg 268-270
|
|
| 4 | 2 |
Probability
|
Combined Events
|
By the end of the
lesson, the learner
should be able to:
Find the probability of a combined events Understand compound events and combinations Distinguish between different event types Apply basic combination rules |
Discussions on exclusive and inclusive event identification Solving basic combined event problems using visual methods Demonstrations using card drawing and dice rolling combinations |
Chalk and blackboard, playing cards, multiple dice, Venn diagram drawings, exercise books
|
KLB Mathematics Book Three Pg 272-273
|
|
| 4 | 3 |
Probability
|
Combined Events OR probability
|
By the end of the
lesson, the learner
should be able to:
Find the probability of a combined events Apply addition rule for OR events Calculate "A or B" probabilities Handle mutually exclusive events |
Discussions on mutually exclusive identification and calculation Solving OR probability problems using organized approaches Demonstrations using card selection and event combination |
Chalk and blackboard, Venn diagram materials, card examples, exercise books
|
KLB Mathematics Book Three Pg 272-274
|
|
| 4 | 4 |
Probability
|
Independent Events
|
By the end of the
lesson, the learner
should be able to:
Find the probability of independent events Apply multiplication rule for independent events Calculate "A and B" probabilities Understand independence concepts |
Discussions on independence identification and verification Solving AND probability problems using systematic calculation Demonstrations using multiple coin tosses and dice combination |
Chalk and blackboard, multiple coins and dice, independence demonstration materials, exercise books
|
KLB Mathematics Book Three Pg 274-275
|
|
| 4 | 5 |
Probability
|
Independent Events advanced
|
By the end of the
lesson, the learner
should be able to:
Find the probability of independent events Distinguish between independent and dependent events Apply conditional probability concepts Handle complex independence scenarios |
Discussions on dependence concepts using card drawing examples Solving dependent and independent event problems using systematic approaches Demonstrations using replacement and non-replacement scenarios |
Chalk and blackboard, playing cards for replacement scenarios, multiple experimental setups, exercise books
|
KLB Mathematics Book Three Pg 276-278
|
|
| 4 | 6 |
Probability
|
Independent Events applications
|
By the end of the
lesson, the learner
should be able to:
Find the probability of independent events Apply independence to practical problems Solve complex multi-event scenarios Integrate independence with other concepts |
Discussions on rule selection and application strategies Solving advanced combined problems using integrated approaches Demonstrations using complex experimental scenarios |
Chalk and blackboard, complex experimental materials, advanced calculation aids, exercise books
|
KLB Mathematics Book Three Pg 278-280
|
|
| 4 | 7 |
Probability
|
Tree Diagrams
|
By the end of the
lesson, the learner
should be able to:
Draw tree diagrams to show the probability space Construct tree diagrams systematically Represent sequential events using trees Apply tree diagram methods |
Discussions on sequential event representation Solving basic tree diagram problems using systematic drawing Demonstrations using branching examples and visual organization |
Chalk and blackboard, tree diagram templates, branching materials, exercise books
|
KLB Mathematics Book Three Pg 282
|
|
| 5 | 1 |
Probability
|
Tree Diagrams advanced
|
By the end of the
lesson, the learner
should be able to:
Use tree diagrams to find probability Apply trees to multi-stage problems Handle complex sequential events |
Discussions on replacement scenario handling Solving complex tree problems using systematic calculation Demonstrations using detailed tree constructions |
Chalk and blackboard, complex tree examples, detailed calculation aids, exercise books
|
KLB Mathematics Book Three Pg 283-285
|
|
| 5 | 2 |
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 |
Discussions on multiple variable situations using local scenarios Solving compound proportion problems using systematic methods Demonstrations using business and trade examples |
Chalk and blackboard, local business examples, calculators if available, exercise books
|
KLB Mathematics Book Three Pg 288-290
|
|
| 5 | 3 |
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 |
Discussions on multi-variable relationships using practical contexts Solving challenging compound problems using systematic approaches Demonstrations using construction and farming examples |
Chalk and blackboard, construction/farming examples, exercise books
|
KLB Mathematics Book Three Pg 290-291
|
|
| 5 | 4 |
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 |
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 it |
Chalk and blackboard, sharing demonstration materials, exercise books
|
KLB Mathematics Book Three Pg 291-293
|
|
| 5 | 5 |
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 |
Discussions on partnership profit distribution using practical scenarios Solving advanced proportional problems using systematic methods Demonstrations using business partnership and investment example |
Chalk and blackboard, business partnership examples, exercise books
|
KLB Mathematics Book Three Pg 291-293
|
|
| 5 | 6 |
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 |
Discussions on efficiency and time relationships using work scenarios Solving basic rate of work problems using systematic methods Demonstrations using construction and labor examples |
Chalk and blackboard, work scenario examples, exercise books
|
KLB Mathematics Book Three Pg 294-295
|
|
| 5 | 7 |
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 |
Discussions on mixture problems using practical examples Solving challenging rate and mixture problems using systematic approaches Demonstrations using cooking, construction, and manufacturing examples |
Chalk and blackboard, mixture demonstration materials, exercise books
|
KLB Mathematics Book Three Pg 295-296
|
|
| 6 | 1 |
Graphical Methods
|
Tables 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 |
Chalk and blackboard, ruled paper for tables, exercise books
|
KLB Mathematics Book Three Pg 299
|
|
| 6 | 2 |
Graphical Methods
|
Graphs of given relations
|
By the end of the
lesson, the learner
should be able to:
Draw graphs of given relations Plot points accurately on coordinate systems Connect points to show relationships Interpret graphs from given data |
Q/A on graph plotting using coordinate methods
Discussions on point plotting and curve drawing Solving graph constructions |
Chalk and blackboard, graph paper or grids, rulers, exercise books
|
KLB Mathematics Book Three Pg 300
|
|
| 6 | 3 |
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 method |
Q/A on integrated table-graph construction using comprehensive methods
Discussions on data flow from tables to graphs Solving integrated problems using systematic approaches |
Chalk and blackboard, graph paper, data examples, exercise books
|
KLB Mathematics Book Three Pg 299-300
|
|
| 6 | 4 |
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 |
systematic calculation
Discussions on cubic equation properties using mathematical analysis Solving cubic table preparation using organized methods Demonstrations using cubic function examples |
Chalk and blackboard, cubic function examples, exercise books
|
KLB Mathematics Book Three Pg 301
|
|
| 6 | 5 |
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 constructio |
Chalk and blackboard, graph paper, cubic equation examples, exercise books
|
KLB Mathematics Book Three Pg 302-304
|
|
| 6 | 6 |
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 |
Discussions on multiple root identification using graph analysis Solving challenging cubic problems using systematic method |
Chalk and blackboard, advanced graph examples, exercise books
|
KLB Mathematics Book Three Pg 302-304
|
|
| 6 | 7 |
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 |
Chalk and blackboard, rate calculation examples, exercise books
|
KLB Mathematics Book Three Pg 304-306
|
|
| 7 | 1 |
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 |
Chalk and blackboard, graph paper, rate examples, exercise books
|
KLB Mathematics Book Three Pg 304-306
|
|
| 7 | 2 |
Graphical Methods
|
Advanced average 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 problem |
Discussions on business and scientific rate applications Solving challenging rate problems using integrated methods Demonstrations using comprehensive rate examples |
Chalk and blackboard, advanced rate scenarios, exercise books
|
KLB Mathematics Book Three Pg 304-310
|
|
| 7 | 3 |
Graphical Methods
|
Introduction to instantaneous rates
|
By the end of the
lesson, the learner
should be able to:
Calculate the rate of change at an instant Understand instantaneous rate concepts Distinguish between average and instantaneous rate |
Discussions on instant vs average rate differences Solving basic instantaneous rate problems Demonstrations using tangent line concepts Explaining instantaneous rate using practical examples |
Chalk and blackboard, tangent line examples, exercise books
|
KLB Mathematics Book Three Pg 310-311
|
|
| 7 | 4 |
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 |
Q/A on instantaneous rate calculation using graphical methods
Discussions on tangent line slope interpretation Solving instantaneous rate problems using systematic approache |
Chalk and blackboard, detailed graph examples, exercise books
|
KLB Mathematics Book Three Pg 310-311
|
|
| 7 | 5 |
Graphical Methods
|
Advanced instantaneous rates
|
By the end of the
lesson, the learner
should be able to:
Calculate the rate of change at an instan Apply instant rates to advanced problems Integrate instantaneous concepts with applications |
Discussions on sophisticated rate problems using detailed analysis Solving challenging instantaneous problems using systematic method |
Chalk and blackboard, advanced rate examples, exercise books
|
KLB Mathematics Book Three Pg 310-315
|
|
| 7 | 6 |
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 |
Discussions on real data representation using practical scenarios Solving empirical graphing problems using systematic methods Demonstrations using experimental data examples |
Chalk and blackboard, experimental data examples, exercise books
|
KLB Mathematics Book Three Pg 315-316
|
|
| 7 | 7 |
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 |
Discussions on trend analysis using systematic methods Solving challenging empirical problems using organized approaches Demonstrations using comprehensive data analysis |
Chalk and blackboard, complex data examples, exercise books
|
KLB Mathematics Book Three Pg 315-321
|
|
| 8-9 |
End of year exams |
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