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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 1 | 1-2 |
Binomial Expansion
|
Binomial expansions up to power four
Binomial expansions up to power four (continued) Pascal's triangle Pascal's triangle applications |
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 Use Pascal's triangle Construct Pascal's triangle systematically Apply triangle coefficients for binomial expansions Recognize number patterns in the triangle |
In groups, learners are guided to:
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 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, rectangular cutouts from paper, exercise books
Chalk and blackboard, squared paper for geometric models, exercise books Chalk and blackboard, triangular patterns drawn/cut from paper, exercise books Chalk and blackboard, Pascal's triangle reference charts, exercise books |
KLB Mathematics Book Three Pg 256
KLB Mathematics Book Three Pg 256-257 |
|
| 1 | 3 |
Binomial Expansion
|
Pascal's triangle (continued)
Pascal's triangle advanced |
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 |
In groups, learners are guided to:
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
Chalk and blackboard, combination calculation aids, exercise books |
KLB Mathematics Book Three Pg 258-259
|
|
| 1 | 4 |
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 |
In groups, learners are guided to:
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
|
|
| 2 | 1-2 |
Probability
|
Introduction
Experimental Probability Experimental Probability applications |
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 Recognize probability situations Calculate the experimental probability Conduct probability experiments systematically Record and analyze experimental data Compare experimental results with expectations |
In groups, learners are guided to:
Q/A on uncertain events from daily life experiences Discussions on weather prediction and game outcomes Analyzing chance events using coin tossing and dice rolling Demonstrations using simple probability experiments Explaining probability language using familiar examples 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 Explaining frequency ratio calculations using practical examples |
Chalk and blackboard, coins, dice made from cardboard, exercise books
Chalk and blackboard, coins, cardboard dice, tally charts, exercise books Chalk and blackboard, extended experimental materials, data recording sheets, exercise books |
KLB Mathematics Book Three Pg 262-264
|
|
| 2 | 3 |
Probability
|
Range of Probability Measure
Probability Space |
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 Interpret probability values correctly |
In groups, learners are guided to:
Q/A on probability scale using number line representations Discussions on probability conversion between forms Solving probability scale problems using systematic methods Demonstrations using probability line and scale examples Explaining scale interpretation using practical scenarios |
Chalk and blackboard, number line drawings, probability scale charts, exercise books
Chalk and blackboard, playing cards (locally made), spinners from cardboard, exercise books |
KLB Mathematics Book Three Pg 265-266
|
|
| 2 | 4 |
Probability
|
Theoretical 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 mathematical reasoning to find probabilities Use equally likely outcome assumptions Calculate theoretical probabilities systematically |
In groups, learners are guided to:
Q/A on theoretical calculation using mathematical principles Discussions on equally likely assumptions and calculations Solving theoretical problems using systematic approaches Demonstrations using fair dice and unbiased coin examples Explaining mathematical probability using logical reasoning |
Chalk and blackboard, fair dice and coins, probability calculation aids, exercise books
Chalk and blackboard, complex probability materials, advanced calculation aids, exercise books |
KLB Mathematics Book Three Pg 266-268
|
|
| 3 | 1-2 |
Probability
|
Theoretical Probability applications
Combined Events Combined Events OR probability |
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 Solve practical probability problems Interpret results in meaningful contexts Find the probability of a combined events Apply addition rule for OR events Calculate "A or B" probabilities Handle mutually exclusive events |
In groups, learners are guided to:
Q/A on practical probability using local examples Discussions on real-world applications using community scenarios Solving application problems using theoretical methods Demonstrations using local games and practical situations Explaining practical interpretation using meaningful contexts Q/A on addition rule application using systematic methods Discussions on mutually exclusive identification and calculation Solving OR probability problems using organized approaches Demonstrations using card selection and event combination Explaining addition rule logic using Venn diagrams |
Chalk and blackboard, local game examples, practical scenario materials, exercise books
Chalk and blackboard, playing cards, multiple dice, Venn diagram drawings, exercise books Chalk and blackboard, Venn diagram materials, card examples, exercise books |
KLB Mathematics Book Three Pg 268-270
KLB Mathematics Book Three Pg 272-274 |
|
| 3 | 3 |
Probability
|
Independent Events
Independent Events advanced |
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 |
In groups, learners are guided to:
Q/A on multiplication rule using independent event examples Discussions on independence identification and verification Solving AND probability problems using systematic calculation Demonstrations using multiple coin tosses and dice combinations Explaining multiplication rule using logical reasoning |
Chalk and blackboard, multiple coins and dice, independence demonstration materials, exercise books
Chalk and blackboard, playing cards for replacement scenarios, multiple experimental setups, exercise books |
KLB Mathematics Book Three Pg 274-275
|
|
| 3 | 4 |
Probability
|
Independent Events applications
Tree Diagrams |
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 |
In groups, learners are guided to:
Q/A on complex event analysis using systematic problem-solving Discussions on rule selection and application strategies Solving advanced combined problems using integrated approaches Demonstrations using complex experimental scenarios Explaining strategic problem-solving using logical analysis |
Chalk and blackboard, complex experimental materials, advanced calculation aids, exercise books
Chalk and blackboard, tree diagram templates, branching materials, exercise books |
KLB Mathematics Book Three Pg 278-280
|
|
| 4 | 1-2 |
Probability
Compound Proportion and Rates of Work |
Tree Diagrams advanced
Compound Proportions Compound Proportions applications |
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 Calculate final probabilities using trees Find the compound proportions Apply compound proportions to complex problems Handle multi-step compound proportion scenarios Solve real-world compound proportion problems |
In groups, learners are guided to:
Q/A on complex tree application using multi-stage examples Discussions on replacement scenario handling Solving complex tree problems using systematic calculation Demonstrations using detailed tree constructions Explaining systematic probability calculation using tree methods 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, complex tree examples, detailed calculation aids, exercise books
Chalk and blackboard, local business examples, calculators if available, exercise books Chalk and blackboard, construction/farming examples, exercise books |
KLB Mathematics Book Three Pg 283-285
KLB Mathematics Book Three Pg 290-291 |
|
| 4 | 3 |
Compound Proportion and Rates of Work
|
Proportional Parts
Proportional Parts applications |
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 |
In groups, learners are guided to:
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
Chalk and blackboard, business partnership examples, exercise books |
KLB Mathematics Book Three Pg 291-293
|
|
| 4 | 4 |
Compound Proportion and Rates of Work
|
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 Understand work rate relationships Apply time-work-efficiency concepts Solve basic rate of work problems |
In groups, learners are guided to:
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
Chalk and blackboard, mixture demonstration materials, exercise books |
KLB Mathematics Book Three Pg 294-295
|
|
| 5 | 1-2 |
Graphical Methods
|
Tables of given relations
Graphs of given relations Tables and graphs integration Introduction to cubic equations |
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 Draw tables and graphs of given relations Integrate table construction with graph plotting Analyze relationships using both methods Compare tabular and graphical representations |
In groups, learners are guided to:
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 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, ruled paper for tables, exercise books
Chalk and blackboard, graph paper or grids, rulers, exercise books Chalk and blackboard, graph paper, data examples, exercise books Chalk and blackboard, cubic function examples, exercise books |
KLB Mathematics Book Three Pg 299
KLB Mathematics Book Three Pg 299-300 |
|
| 5 | 3 |
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 |
In groups, learners are guided to:
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
|
|
| 5 | 4 |
Graphical Methods
|
Advanced cubic solutions
Introduction to rates of change |
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 |
In groups, learners are guided to:
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
Chalk and blackboard, rate calculation examples, exercise books |
KLB Mathematics Book Three Pg 302-304
|
|
| 6 | 1-2 |
Graphical Methods
|
Average rates of change
Advanced average rates Introduction to instantaneous rates Rate of change at an instant |
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 Calculate the rate of change at an instant Understand instantaneous rate concepts Distinguish between average and instantaneous rates Apply instant rate methods |
In groups, learners are guided to:
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 Q/A on instantaneous rate concepts using limiting methods 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, graph paper, rate examples, exercise books
Chalk and blackboard, advanced rate scenarios, exercise books Chalk and blackboard, tangent line examples, exercise books Chalk and blackboard, detailed graph examples, exercise books |
KLB Mathematics Book Three Pg 304-306
KLB Mathematics Book Three Pg 310-311 |
|
| 6 | 3 |
Graphical Methods
|
Advanced instantaneous rates
Empirical graphs |
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 |
In groups, learners are guided to:
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
Chalk and blackboard, experimental data examples, exercise books |
KLB Mathematics Book Three Pg 310-315
|
|
| 6 | 4 |
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 |
In groups, learners are guided to:
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
|
|
| 7 |
END TERM EXAM |
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