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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 1 |
OPENING OF SCHOOL AND ADMINISTRATION OF OPEENER EXAM |
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| 2 | 1 |
Probability
|
Introduction
Experimental Probability |
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 |
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 |
Chalk and blackboard, coins, dice made from cardboard, exercise books
Chalk and blackboard, coins, cardboard dice, tally charts, exercise books |
KLB Mathematics Book Three Pg 262-264
|
|
| 2 | 2 |
Probability
|
Experimental Probability applications
Range of Probability Measure |
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 Analyze experimental probability patterns |
In groups, learners are guided to:
Q/A on advanced experimental techniques using extended trials Discussions on sample size effects using comparative data Solving complex experimental problems using systematic methods Demonstrations using extended experimental procedures Explaining pattern analysis using accumulated data |
Chalk and blackboard, extended experimental materials, data recording sheets, exercise books
Chalk and blackboard, number line drawings, probability scale charts, exercise books |
KLB Mathematics Book Three Pg 262-264
|
|
| 2 | 3 |
Probability
|
Probability Space
Theoretical Probability |
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 |
In groups, learners are guided to:
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 Explaining probability calculation using outcome counting |
Chalk and blackboard, playing cards (locally made), spinners from cardboard, exercise books
Chalk and blackboard, fair dice and coins, probability calculation aids, exercise books |
KLB Mathematics Book Three Pg 266-267
|
|
| 2 | 4 |
Probability
|
Theoretical Probability advanced
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 probability to complex problems Handle multiple outcome scenarios Solve advanced theoretical problems |
In groups, learners are guided to:
Q/A on advanced theoretical applications using complex scenarios Discussions on multiple outcome analysis using systematic methods Solving challenging theoretical problems using organized approaches Demonstrations using complex probability setups Explaining advanced theoretical concepts using detailed reasoning |
Chalk and blackboard, complex probability materials, advanced calculation aids, exercise books
Chalk and blackboard, local game examples, practical scenario materials, exercise books |
KLB Mathematics Book Three Pg 268-270
|
|
| 2 | 5 |
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 |
In groups, learners are guided to:
Q/A on event combination using practical examples Discussions on exclusive and inclusive event identification Solving basic combined event problems using visual methods Demonstrations using card drawing and dice rolling combinations Explaining combination principles using Venn diagrams |
Chalk and blackboard, playing cards, multiple dice, Venn diagram drawings, exercise books
|
KLB Mathematics Book Three Pg 272-273
|
|
| 2 | 6 |
Probability
|
Combined Events OR probability
Independent Events |
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 |
In groups, learners are guided to:
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, Venn diagram materials, card examples, exercise books
Chalk and blackboard, multiple coins and dice, independence demonstration materials, exercise books |
KLB Mathematics Book Three Pg 272-274
|
|
| 2 | 7 |
Probability
|
Independent Events advanced
Independent Events applications |
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 |
In groups, learners are guided to:
Q/A on independence verification using mathematical methods Discussions on dependence concepts using card drawing examples Solving dependent and independent event problems using systematic approaches Demonstrations using replacement and non-replacement scenarios Explaining conditional probability using practical examples |
Chalk and blackboard, playing cards for replacement scenarios, multiple experimental setups, exercise books
Chalk and blackboard, complex experimental materials, advanced calculation aids, exercise books |
KLB Mathematics Book Three Pg 276-278
|
|
| 3 | 1 |
Probability
|
Tree Diagrams
Tree Diagrams advanced |
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 |
In groups, learners are guided to:
Q/A on tree construction using step-by-step methods Discussions on sequential event representation Solving basic tree diagram problems using systematic drawing Demonstrations using branching examples and visual organization Explaining tree structure using logical branching principles |
Chalk and blackboard, tree diagram templates, branching materials, exercise books
Chalk and blackboard, complex tree examples, detailed calculation aids, exercise books |
KLB Mathematics Book Three Pg 282
|
|
| 3 | 2 |
Compound Proportion and Rates of Work
|
Compound Proportions
Compound Proportions applications |
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 |
In groups, learners are guided to:
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
Chalk and blackboard, construction/farming examples, exercise books |
KLB Mathematics Book Three Pg 288-290
|
|
| 3 | 3 |
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 |
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
|
KLB Mathematics Book Three Pg 291-293
|
|
| 3 | 4 |
Compound Proportion and Rates of Work
|
Proportional Parts applications
Rates of Work |
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 |
In groups, learners are guided to:
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
Chalk and blackboard, work scenario examples, exercise books |
KLB Mathematics Book Three Pg 291-293
|
|
| 3 | 5 |
Compound Proportion and Rates of Work
Graphical Methods |
Rates of Work and Mixtures
Tables of given relations |
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 |
In groups, learners are guided to:
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
Chalk and blackboard, ruled paper for tables, exercise books |
KLB Mathematics Book Three Pg 295-296
|
|
| 3 | 6 |
Graphical Methods
|
Graphs of given relations
Tables and graphs integration |
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 |
In groups, learners are guided to:
Q/A on graph plotting using coordinate methods Discussions on point plotting and curve drawing Solving graph construction problems using systematic plotting Demonstrations using coordinate systems and curve sketching Explaining graph interpretation using visual analysis |
Chalk and blackboard, graph paper or grids, rulers, exercise books
Chalk and blackboard, graph paper, data examples, exercise books |
KLB Mathematics Book Three Pg 300
|
|
| 3 | 7 |
Graphical Methods
|
Introduction to cubic equations
Graphical solution of 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 |
In groups, learners are guided to:
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
Chalk and blackboard, graph paper, cubic equation examples, exercise books |
KLB Mathematics Book Three Pg 301
|
|
| 4 | 1 |
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 |
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
|
KLB Mathematics Book Three Pg 302-304
|
|
| 4 | 2 |
Graphical Methods
|
Introduction to rates of change
Average 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 |
In groups, learners are guided to:
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
Chalk and blackboard, graph paper, rate examples, exercise books |
KLB Mathematics Book Three Pg 304-306
|
|
| 4 | 3 |
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 |
In groups, learners are guided to:
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
|
|
| 4 | 4 |
Graphical Methods
|
Rate of change at an instant
Advanced instantaneous rates |
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 |
In groups, learners are guided to:
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
Chalk and blackboard, advanced rate examples, exercise books |
KLB Mathematics Book Three Pg 310-311
|
|
| 4 | 5 |
Graphical Methods
|
Empirical graphs
Advanced empirical methods |
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 |
In groups, learners are guided to:
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
Chalk and blackboard, complex data examples, exercise books |
KLB Mathematics Book Three Pg 315-316
|
|
| 4 | 6 |
Matrices and Transformation
|
Matrices of Transformation
Identifying Common Transformation Matrices Finding the Matrix of a Transformation |
By the end of the
lesson, the learner
should be able to:
-Define transformation and identify types -Recognize that matrices can represent transformations -Apply 2×2 matrices to position vectors -Relate matrix operations to geometric transformations |
In groups, learners are guided to:
-Review transformation concepts from Form 2 -Demonstrate matrix multiplication using position vectors -Plot objects and images on coordinate plane -Practice identifying transformations from images |
Exercise books
-Manila paper -Ruler -Pencils -String -Chalk/markers |
KLB Secondary Mathematics Form 4, Pages 1-5
|
|
| 4 | 7 |
Matrices and Transformation
|
Using the Unit Square Method
Successive Transformations Matrix Multiplication for Combined Transformations Single Matrix for Successive Transformations |
By the end of the
lesson, the learner
should be able to:
-Use unit square to find transformation matrices -Read matrix elements directly from unit square images -Apply unit square method to various transformations -Compare unit square method with algebraic method |
In groups, learners are guided to:
-Demonstrate unit square method systematically -Practice reading transformation matrices from diagrams -Apply method to reflections, rotations, enlargements -Compare efficiency of different methods |
Exercise books
-Manila paper -Ruler -String -Coloured pencils -Chalk/markers |
KLB Secondary Mathematics Form 4, Pages 6-16
|
|
| 5 | 1 |
Matrices and Transformation
|
Inverse of a Transformation
Properties of Inverse Transformations |
By the end of the
lesson, the learner
should be able to:
-Define inverse transformation conceptually -Find inverse matrices using algebraic methods -Apply inverse transformations to return objects to original position -Verify inverse relationships using matrix multiplication |
In groups, learners are guided to:
-Demonstrate inverse transformations geometrically -Practice finding inverse matrices algebraically -Verify that A × A⁻¹ = I -Apply inverse transformations to solve problems |
Exercise books
-Manila paper -Ruler -Chalk/markers |
KLB Secondary Mathematics Form 4, Pages 24-26
|
|
| 5 | 2 |
Matrices and Transformation
|
Area Scale Factor and Determinant
Shear Transformations |
By the end of the
lesson, the learner
should be able to:
-Establish relationship between area scale factor and determinant -Calculate area scale factors for transformations -Apply determinant to find area changes -Solve problems involving area transformations |
In groups, learners are guided to:
-Measure areas of objects and images using grid paper -Calculate determinants and compare with area ratios -Practice with various transformation types -Verify the relationship: ASF = |
det A
Exercise books -Cardboard pieces -Manila paper -Ruler |
|
|
| 5 | 3 |
Matrices and Transformation
|
Stretch Transformations
Combined Shear and Stretch Problems |
By the end of the
lesson, the learner
should be able to:
-Define stretch transformation and scale factors -Distinguish between one-way and two-way stretches -Construct matrices for stretch transformations -Apply stretch transformations to solve problems |
In groups, learners are guided to:
-Demonstrate stretch using rubber bands and paper -Practice with x-axis and y-axis invariant stretches -Construct stretch matrices systematically -Compare stretches with enlargements |
Exercise books
-Rubber bands -Manila paper -Ruler -Chalk/markers |
KLB Secondary Mathematics Form 4, Pages 28-34
|
|
| 5 | 4 |
Matrices and Transformation
Statistics II |
Isometric and Non-isometric Transformations
Introduction to Advanced Statistics |
By the end of the
lesson, the learner
should be able to:
-Distinguish between isometric and non-isometric transformations -Classify transformations based on shape and size preservation -Identify isometric transformations from matrices -Apply classification to solve problems |
In groups, learners are guided to:
-Compare congruent and non-congruent images using cutouts -Classify transformations systematically -Practice identification from matrices -Discuss real-world applications of each type |
Exercise books
-Paper cutouts -Manila paper -Ruler -Real data examples -Chalk/markers |
KLB Secondary Mathematics Form 4, Pages 35-38
|
|
| 5 | 5 |
Statistics II
|
Working Mean Concept
Mean Using Working Mean - Simple Data |
By the end of the
lesson, the learner
should be able to:
-Define working mean (assumed mean) -Explain why working mean simplifies calculations -Identify appropriate working mean values -Apply working mean to reduce calculation errors |
In groups, learners are guided to:
-Demonstrate calculation difficulties with large numbers -Show how working mean simplifies arithmetic -Practice selecting suitable working means -Compare results with and without working mean |
Exercise books
-Manila paper -Sample datasets -Chalk/markers -Student data |
KLB Secondary Mathematics Form 4, Pages 39-42
|
|
| 5 | 6 |
Statistics II
|
Mean Using Working Mean - Frequency Tables
|
By the end of the
lesson, the learner
should be able to:
-Calculate mean using working mean for frequency data -Apply working mean to discrete frequency distributions -Use the formula with frequencies correctly -Solve real-world problems with frequency data |
In groups, learners are guided to:
-Demonstrate with family size data from local community -Practice calculating fx and fd systematically -Work through examples step-by-step -Students practice with their own collected data |
Exercise books
-Manila paper -Community data -Chalk/markers |
KLB Secondary Mathematics Form 4, Pages 42-48
|
|
| 5 | 7 |
Statistics II
|
Mean for Grouped Data Using Working Mean
Advanced Working Mean Techniques |
By the end of the
lesson, the learner
should be able to:
-Calculate mean for grouped continuous data -Select appropriate working mean for grouped data -Use midpoints of class intervals correctly -Apply working mean formula to grouped data |
In groups, learners are guided to:
-Use height/weight data of students in class -Practice finding midpoints of class intervals -Work through complex calculations step by step -Students practice with agricultural production data |
Exercise books
-Manila paper -Real datasets -Chalk/markers -Economic data |
KLB Secondary Mathematics Form 4, Pages 42-48
|
|
| 6 | 1 |
Statistics II
|
Introduction to Quartiles, Deciles, Percentiles
Calculating Quartiles for Ungrouped Data |
By the end of the
lesson, the learner
should be able to:
-Define quartiles, deciles, and percentiles -Understand how they divide data into parts -Explain the relationship between these measures -Identify their importance in data analysis |
In groups, learners are guided to:
-Use physical demonstration with student heights -Arrange 20 students by height to show quartiles -Explain percentile ranks in exam results -Discuss applications in grading systems |
Exercise books
-Manila paper -Student height data -Measuring tape -Test score data -Chalk/markers |
KLB Secondary Mathematics Form 4, Pages 49-52
|
|
| 6 | 2 |
Statistics II
|
Quartiles for Grouped Data
Deciles and Percentiles Calculations |
By the end of the
lesson, the learner
should be able to:
-Calculate quartiles using interpolation formula -Identify quartile classes correctly -Apply the formula: Q = L + [(n/4 - CF)/f] × h -Solve problems with continuous grouped data |
In groups, learners are guided to:
-Work through detailed examples on chalkboard -Practice identifying quartile positions -Use cumulative frequency systematically -Apply to real examination grade data |
Exercise books
-Manila paper -Grade data -Chalk/markers -Performance data |
KLB Secondary Mathematics Form 4, Pages 49-52
|
|
| 6 | 3 |
Statistics II
|
Introduction to Cumulative Frequency
Drawing Cumulative Frequency Curves (Ogives) |
By the end of the
lesson, the learner
should be able to:
-Construct cumulative frequency tables -Understand "less than" cumulative frequencies -Plot cumulative frequency against class boundaries -Identify the characteristic S-shape of ogives |
In groups, learners are guided to:
-Create cumulative frequency table with class data -Plot points on manila paper grid -Join points to form smooth curve -Discuss properties of ogive curves |
Exercise books
-Manila paper -Ruler -Class data -Pencils |
KLB Secondary Mathematics Form 4, Pages 52-60
|
|
| 6 | 4 |
Statistics II
|
Reading Values from Ogives
|
By the end of the
lesson, the learner
should be able to:
-Read median from cumulative frequency curve -Find quartiles using ogive -Estimate any percentile from the curve -Interpret readings in real-world context |
In groups, learners are guided to:
-Demonstrate reading techniques on large ogive -Practice finding median position (n/2) -Read quartile positions systematically -Students practice reading their own curves |
Exercise books
-Manila paper -Completed ogives -Ruler |
KLB Secondary Mathematics Form 4, Pages 52-60
|
|
| 6 | 5 |
Statistics II
|
Applications of Ogives
Introduction to Measures of Dispersion |
By the end of the
lesson, the learner
should be able to:
-Use ogives to solve real-world problems -Find number of values above/below certain points -Calculate percentage of data in given ranges -Compare different datasets using ogives |
In groups, learners are guided to:
-Solve problems about pass rates in examinations -Find how many students scored above average -Calculate percentages for different grade ranges -Use agricultural production data for analysis |
Exercise books
-Manila paper -Real problem datasets -Ruler -Comparative datasets -Chalk/markers |
KLB Secondary Mathematics Form 4, Pages 52-60
|
|
| 6 | 6 |
Statistics II
|
Range and Interquartile Range
Mean Absolute Deviation |
By the end of the
lesson, the learner
should be able to:
-Calculate range for different datasets -Find interquartile range (Q3 - Q1) -Calculate quartile deviation (semi-interquartile range) -Compare advantages and limitations of each measure |
In groups, learners are guided to:
-Calculate range for student heights in class -Find IQR for the same data -Discuss effect of outliers on range -Compare IQR stability with range |
Exercise books
-Manila paper -Student data -Measuring tape -Test score data -Chalk/markers |
KLB Secondary Mathematics Form 4, Pages 60-65
|
|
| 6 | 7 |
Statistics II
|
Introduction to Variance
Variance Using Alternative Formula |
By the end of the
lesson, the learner
should be able to:
-Define variance as mean of squared deviations -Calculate variance using definition formula -Understand why deviations are squared -Compare variance with other dispersion measures |
In groups, learners are guided to:
-Work through variance calculation step by step -Explain squaring deviations eliminates negatives -Calculate variance for simple datasets -Compare with mean absolute deviation |
Exercise books
-Manila paper -Simple datasets -Chalk/markers -Frequency data |
KLB Secondary Mathematics Form 4, Pages 65-70
|
|
| 7 | 1 |
Statistics II
|
Standard Deviation Calculations
Standard Deviation for Grouped Data |
By the end of the
lesson, the learner
should be able to:
-Calculate standard deviation as square root of variance -Apply standard deviation to ungrouped data -Use standard deviation to compare datasets -Interpret standard deviation in practical contexts |
In groups, learners are guided to:
-Calculate SD for student exam scores -Compare SD values for different subjects -Interpret what high/low SD means -Use SD to identify consistent performance |
Exercise books
-Manila paper -Exam score data -Chalk/markers -Agricultural data |
KLB Secondary Mathematics Form 4, Pages 65-70
|
|
| 7-9 |
ENDTERM EXAMINATION AND CLOSING OF SCHOOL |
|||||||
| 10 | 1 |
Statistics II
|
Advanced Standard Deviation Techniques
|
By the end of the
lesson, the learner
should be able to:
-Apply transformation properties of standard deviation -Use coding with class width division -Solve problems with multiple transformations -Verify results using different methods |
In groups, learners are guided to:
-Demonstrate coding transformations -Show how SD changes with data transformations -Practice reverse calculations -Verify using alternative methods |
Exercise books
-Manila paper -Transformation examples -Chalk/markers |
KLB Secondary Mathematics Form 4, Pages 65-70
|
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