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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 1 |
Opening school and revision of end of term exams |
|||||||
| 2 | 1 |
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 |
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
|
KLB Mathematics Book Three Pg 282
|
|
| 2 | 2 |
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 Calculate final probabilities using trees |
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 |
Chalk and blackboard, complex tree examples, detailed calculation aids, exercise books
|
KLB Mathematics Book Three Pg 283-285
|
|
| 2 | 3 |
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 |
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
|
KLB Mathematics Book Three Pg 288-290
|
|
| 2 | 4 |
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 |
In groups, learners are guided to:
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
|
|
| 2 | 5 |
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 |
In groups, learners are guided to:
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
|
|
| 2 | 6 |
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
|
|
| 2 | 7 |
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 |
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
|
KLB Mathematics Book Three Pg 291-293
|
|
| 2 | 8 |
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 |
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
|
KLB Mathematics Book Three Pg 294-295
|
|
| 3 | 1 |
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 |
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
|
KLB Mathematics Book Three Pg 295-296
|
|
| 3 | 2 |
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 |
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 |
Chalk and blackboard, ruled paper for tables, exercise books
|
KLB Mathematics Book Three Pg 299
|
|
| 3 | 3 |
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 |
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
|
KLB Mathematics Book Three Pg 300
|
|
| 3 | 4 |
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 |
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
|
KLB Mathematics Book Three Pg 300
|
|
| 3 | 5 |
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 |
In groups, learners are guided to:
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
|
|
| 3 | 6 |
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 |
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
|
KLB Mathematics Book Three Pg 301
|
|
| 3 | 7 |
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
|
|
| 3 | 8 |
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 | 1 |
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 |
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
|
KLB Mathematics Book Three Pg 304-306
|
|
| 4 | 2 |
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 |
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 |
Chalk and blackboard, graph paper, rate examples, exercise books
|
KLB Mathematics Book Three Pg 304-306
|
|
| 4 | 3 |
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 |
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 |
Chalk and blackboard, graph paper, rate examples, exercise books
|
KLB Mathematics Book Three Pg 304-306
|
|
| 4 | 4 |
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 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
|
KLB Mathematics Book Three Pg 304-310
|
|
| 4 | 5 |
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 rates Apply instant rate methods |
In groups, learners are guided to:
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, tangent line examples, exercise books
|
KLB Mathematics Book Three Pg 310-311
|
|
| 4 | 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 |
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
|
KLB Mathematics Book Three Pg 310-311
|
|
| 4 | 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 |
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
|
KLB Mathematics Book Three Pg 310-315
|
|
| 4 | 8 |
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 |
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
|
KLB Mathematics Book Three Pg 315-316
|
|
| 5 | 1 |
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
|
|
| 5 | 2 |
Matrices and Transformation
|
Matrices of 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 |
KLB Secondary Mathematics Form 4, Pages 1-5
|
|
| 5 | 3 |
Matrices and Transformation
|
Identifying Common Transformation Matrices
Finding the Matrix of a Transformation |
By the end of the
lesson, the learner
should be able to:
-Identify matrices for reflection, rotation, enlargement -Describe transformations represented by given matrices -Apply identity matrix and understand its effect -Distinguish between different types of transformations |
In groups, learners are guided to:
-Use unit square drawn on paper to identify transformations -Practice with specific matrices like (0 1; 1 0), (-1 0; 0 1) -Draw objects and images under various transformations -Q&A on transformation properties |
Exercise books
-Manila paper -Ruler -String -Chalk/markers |
KLB Secondary Mathematics Form 4, Pages 1-5
|
|
| 5 | 4 |
Matrices and Transformation
|
Using the Unit Square Method
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 |
KLB Secondary Mathematics Form 4, Pages 6-16
|
|
| 5 | 5 |
Matrices and Transformation
|
Matrix Multiplication for Combined Transformations
Single Matrix for Successive Transformations |
By the end of the
lesson, the learner
should be able to:
-Multiply 2×2 matrices to find combined transformations -Apply matrix multiplication rules correctly -Verify combined transformations geometrically -Solve problems involving multiple transformations |
In groups, learners are guided to:
-Practice matrix multiplication systematically on chalkboard -Verify results by applying to test objects -Work through complex transformation sequences -Check computations step by step |
Exercise books
-Manila paper -Ruler -Chalk/markers |
KLB Secondary Mathematics Form 4, Pages 16-24
|
|
| 5 | 6 |
Matrices and Transformation
|
Inverse of a Transformation
|
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 | 7 |
Matrices and Transformation
|
Properties of Inverse Transformations
|
By the end of the
lesson, the learner
should be able to:
-Calculate determinants of 2×2 matrices -Use determinant formula for matrix inverses -Identify when inverse matrices exist -Apply inverse matrix formula efficiently |
In groups, learners are guided to:
-Practice determinant calculations on chalkboard -Use formula: A⁻¹ = (1/det A) × adj A -Identify singular matrices (det = 0) -Solve systems using inverse matrices |
Exercise books
-Manila paper -Ruler -Chalk/markers |
KLB Secondary Mathematics Form 4, Pages 24-26
|
|
| 5 | 8 |
Matrices and Transformation
|
Area Scale Factor and Determinant
|
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
|
|
|
| 6 | 1 |
Matrices and Transformation
|
Shear Transformations
|
By the end of the
lesson, the learner
should be able to:
-Define shear transformation and its properties -Identify invariant lines in shear transformations -Construct matrices for shear transformations -Apply shear transformations to geometric objects |
In groups, learners are guided to:
-Demonstrate shear using cardboard models -Identify x-axis and y-axis invariant shears -Practice constructing shear matrices -Apply shears to triangles and rectangles |
Exercise books
-Cardboard pieces -Manila paper -Ruler |
KLB Secondary Mathematics Form 4, Pages 28-34
|
|
| 6 | 2 |
Matrices and Transformation
|
Stretch Transformations
|
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 |
KLB Secondary Mathematics Form 4, Pages 28-34
|
|
| 6 | 3 |
Matrices and Transformation
|
Combined Shear and Stretch Problems
|
By the end of the
lesson, the learner
should be able to:
-Apply shear and stretch transformations in combination -Solve complex transformation problems -Identify transformation types from matrices -Calculate areas under shear and stretch transformations |
In groups, learners are guided to:
-Work through complex transformation sequences -Practice identifying transformation types -Calculate area changes under different transformations -Solve real-world applications |
Exercise books
-Manila paper -Ruler -Chalk/markers |
KLB Secondary Mathematics Form 4, Pages 28-34
|
|
| 6 | 4 |
Matrices and Transformation
|
Isometric and Non-isometric Transformations
|
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 |
KLB Secondary Mathematics Form 4, Pages 35-38
|
|
| 6 | 5 |
Statistics II
|
Introduction to Advanced Statistics
|
By the end of the
lesson, the learner
should be able to:
-Review measures of central tendency from Form 2 -Identify limitations of simple mean calculations -Understand need for advanced statistical methods -Recognize patterns in large datasets |
In groups, learners are guided to:
-Review mean, median, mode from previous work -Discuss challenges with large numbers -Examine real data from Kenya (population, rainfall) -Q&A on statistical applications in daily life |
Exercise books
-Manila paper -Real data examples -Chalk/markers |
KLB Secondary Mathematics Form 4, Pages 39-42
|
|
| 6 | 6 |
Statistics II
|
Introduction to Advanced Statistics
|
By the end of the
lesson, the learner
should be able to:
-Review measures of central tendency from Form 2 -Identify limitations of simple mean calculations -Understand need for advanced statistical methods -Recognize patterns in large datasets |
In groups, learners are guided to:
-Review mean, median, mode from previous work -Discuss challenges with large numbers -Examine real data from Kenya (population, rainfall) -Q&A on statistical applications in daily life |
Exercise books
-Manila paper -Real data examples -Chalk/markers |
KLB Secondary Mathematics Form 4, Pages 39-42
|
|
| 6 | 7 |
Statistics II
|
Working Mean Concept
|
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 |
KLB Secondary Mathematics Form 4, Pages 39-42
|
|
| 6 | 8 |
Statistics II
|
Mean Using Working Mean - Simple Data
|
By the end of the
lesson, the learner
should be able to:
-Calculate mean using working mean for ungrouped data -Apply the formula: mean = working mean + mean of deviations -Verify results using direct calculation method -Solve problems with whole numbers |
In groups, learners are guided to:
-Work through step-by-step examples on chalkboard -Practice with student marks and heights data -Verify answers using traditional method -Individual practice with guided support |
Exercise books
-Manila paper -Student data -Chalk/markers |
KLB Secondary Mathematics Form 4, Pages 42-48
|
|
| 7 | 1 |
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
|
|
| 7 | 2 |
Statistics II
|
Mean for Grouped Data Using Working Mean
|
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 |
KLB Secondary Mathematics Form 4, Pages 42-48
|
|
| 7 | 3 |
Statistics II
|
Advanced Working Mean Techniques
|
By the end of the
lesson, the learner
should be able to:
-Apply coding techniques with working mean -Divide by class width to simplify further -Use transformation methods efficiently -Solve complex grouped data problems |
In groups, learners are guided to:
-Demonstrate coding method on chalkboard -Show how dividing by class width helps -Practice reverse calculations to get original mean -Work with economic data from Kenya |
Exercise books
-Manila paper -Economic data -Chalk/markers |
KLB Secondary Mathematics Form 4, Pages 42-48
|
|
| 7 | 4 |
Statistics II
|
Introduction to Quartiles, Deciles, Percentiles
|
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 |
KLB Secondary Mathematics Form 4, Pages 49-52
|
|
| 7 | 5 |
Statistics II
|
Introduction to Quartiles, Deciles, Percentiles
|
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 |
KLB Secondary Mathematics Form 4, Pages 49-52
|
|
| 7 | 6 |
Statistics II
|
Calculating Quartiles for Ungrouped Data
|
By the end of the
lesson, the learner
should be able to:
-Find lower quartile, median, upper quartile for raw data -Apply the position formulas correctly -Arrange data in ascending order systematically -Interpret quartile values in context |
In groups, learners are guided to:
-Practice with test scores from the class -Arrange data systematically on chalkboard -Calculate Q1, Q2, Q3 step by step -Students work with their own datasets |
Exercise books
-Manila paper -Test score data -Chalk/markers |
KLB Secondary Mathematics Form 4, Pages 49-52
|
|
| 7 | 7 |
Statistics II
|
Quartiles for Grouped Data
|
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 |
KLB Secondary Mathematics Form 4, Pages 49-52
|
|
| 7 | 8 |
Statistics II
|
Deciles and Percentiles Calculations
|
By the end of the
lesson, the learner
should be able to:
-Calculate specific deciles and percentiles -Apply interpolation formulas for deciles/percentiles -Interpret decile and percentile positions -Use these measures for comparative analysis |
In groups, learners are guided to:
-Calculate specific percentiles for class test scores -Find deciles for sports performance data -Compare students' positions using percentiles -Practice with national examination statistics |
Exercise books
-Manila paper -Performance data -Chalk/markers |
KLB Secondary Mathematics Form 4, Pages 49-52
|
|
| 8 |
End of term exams |
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| 9 |
Closing school |
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