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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 1 |
OPENING AND REVISION OF END OF TERM II EXAMINATIONS |
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| 2 |
OPENER EXAMINATIONS AND REVISION OF THE OPENER EXAM |
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| 3 | 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 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 | 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 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 | 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 methods Compare tabular and graphical representations |
Q/A on integrated table-graph construction using comprehensive methods
Discussions on data flow from tables to graphs Solving integrated problems using systematic approaches Demonstrations using complete data analysis procedures Explaining relationship analysis using combined methods |
Chalk and blackboard, graph paper, data examples, exercise books
|
KLB Mathematics Book Three Pg 299-300
|
|
| 3 | 4 |
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 |
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
|
|
| 3 | 5 |
Graphical Methods
|
Advanced cubic solutions
|
By the end of the
lesson, the learner
should be able to:
Draw graphs of cubic equations Apply graphical methods to complex cubic problems Handle multiple root scenarios Verify solutions using graphical analysis |
Q/A on advanced cubic graphing using complex examples
Discussions on multiple root identification using graph analysis Solving challenging cubic problems using systematic methods Demonstrations using detailed cubic constructions Explaining verification methods using graphical checking |
Chalk and blackboard, advanced graph examples, exercise books
|
KLB Mathematics Book Three Pg 302-304
|
|
| 3 | 6 |
Graphical Methods
|
Introduction to rates of change
|
By the end of the
lesson, the learner
should be able to:
Calculate the average rates of change Understand rate of change concepts Apply rate calculations to practical problems Interpret rate meanings in context |
Q/A on rate calculation using slope methods
Discussions on rate interpretation using practical examples Solving basic rate problems using systematic calculation Demonstrations using speed-time and distance examples Explaining rate concepts using practical analogies |
Chalk and blackboard, rate calculation examples, exercise books
|
KLB Mathematics Book Three Pg 304-306
|
|
| 3 | 7 |
Graphical Methods
|
Average rates of change
|
By the end of the
lesson, the learner
should be able to:
Calculate the average rates of change Apply average rate methods to various functions Use graphical methods for rate calculation Solve practical rate problems |
Q/A on average rate calculation using graphical methods
Discussions on rate applications using real-world scenarios Solving average rate problems using systematic approaches Demonstrations using graph-based rate calculation Explaining practical applications using meaningful contexts |
Chalk and blackboard, graph paper, rate examples, exercise books
|
KLB Mathematics Book Three Pg 304-306
|
|
| 3 | 8 |
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 |
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 | 1 |
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 |
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 | 2 |
Graphical Methods
|
Rate of change at an instant
|
By the end of the
lesson, the learner
should be able to:
Calculate the rate of change at an instant Apply instantaneous rate methods systematically Use graphical techniques for instant rates Solve practical instantaneous rate problems |
Q/A on instantaneous rate calculation using graphical methods
Discussions on tangent line slope interpretation Solving instantaneous rate problems using systematic approaches Demonstrations using detailed tangent constructions Explaining practical applications using real scenarios |
Chalk and blackboard, detailed graph examples, exercise books
|
KLB Mathematics Book Three Pg 310-311
|
|
| 4 | 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 |
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
|
|
| 4 | 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 |
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
|
|
| 4 | 5 |
Matrices and Transformation
|
Matrices of Transformation
Identifying Common Transformation Matrices |
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 |
-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 |
KLB Secondary Mathematics Form 4, Pages 1-5
|
|
| 4 | 6 |
Matrices and Transformation
|
Finding the Matrix of a Transformation
Using the Unit Square Method |
By the end of the
lesson, the learner
should be able to:
-Determine the matrix representing a given transformation -Use coordinate geometry to find transformation matrices -Apply algebraic methods to find matrix elements -Verify transformation matrices using test points |
-Work through algebraic method of finding matrices -Use simultaneous equations to solve for matrix elements -Practice with different types of transformations -Verify results by applying matrix to test objects |
Exercise books
-Manila paper -Ruler -Chalk/markers -String |
KLB Secondary Mathematics Form 4, Pages 6-16
|
|
| 4 | 7 |
Matrices and Transformation
|
Successive Transformations
Matrix Multiplication for Combined Transformations Single Matrix for Successive Transformations |
By the end of the
lesson, the learner
should be able to:
-Understand the concept of successive transformations -Apply transformations in correct order -Recognize that order matters in matrix multiplication -Perform multiple transformations step by step |
-Demonstrate successive transformations with paper cutouts -Practice applying transformations in sequence -Compare results when order is changed -Work through step-by-step examples |
Exercise books
-Manila paper -Ruler -Coloured pencils -Chalk/markers |
KLB Secondary Mathematics Form 4, Pages 16-24
|
|
| 4 | 8 |
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 |
-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 | 1 |
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 |
-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
|
|
|
| 5 | 2 |
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 |
-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
|
|
| 5 | 3 |
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 |
-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
|
|
| 5 | 4 |
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 |
-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
|
|
| 5 | 5 |
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 |
-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
|
|
| 5 | 6 |
Statistics II
|
Introduction to Advanced Statistics
Working Mean Concept |
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 |
-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 -Sample datasets |
KLB Secondary Mathematics Form 4, Pages 39-42
|
|
| 5 | 7 |
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 |
-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
|
|
| 5 | 8 |
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 |
-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
|
|
| 6 | 1 |
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 |
-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
|
|
| 6 | 2 |
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 |
-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
|
|
| 6 | 3 |
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 |
-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
|
|
| 6 | 4 |
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 |
-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
|
|
| 6 | 5 |
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 |
-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 | 6 |
Statistics II
|
Introduction to Cumulative Frequency
|
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 |
-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 |
KLB Secondary Mathematics Form 4, Pages 52-60
|
|
| 6 | 7 |
Statistics II
|
Drawing Cumulative Frequency Curves (Ogives)
|
By the end of the
lesson, the learner
should be able to:
-Draw accurate ogives using proper scales -Plot cumulative frequency against upper boundaries -Create smooth curves through plotted points -Label axes and scales correctly |
-Practice plotting on large manila paper -Use rulers for accurate scales -Demonstrate smooth curve drawing technique -Students create their own ogives |
Exercise books
-Manila paper -Ruler -Pencils |
KLB Secondary Mathematics Form 4, Pages 52-60
|
|
| 6 | 8 |
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 |
-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
|
|
| 7 | 1 |
Statistics II
|
Applications of Ogives
|
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 |
-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 |
KLB Secondary Mathematics Form 4, Pages 52-60
|
|
| 7 | 2 |
Statistics II
|
Introduction to Measures of Dispersion
|
By the end of the
lesson, the learner
should be able to:
-Define dispersion and its importance -Understand limitations of central tendency alone -Compare datasets with same mean but different spread -Identify different measures of dispersion |
-Compare test scores of two classes with same mean -Show how different spreads affect interpretation -Discuss variability in real-world data -Introduce range as simplest measure |
Exercise books
-Manila paper -Comparative datasets -Chalk/markers |
KLB Secondary Mathematics Form 4, Pages 60-65
|
|
| 7 | 3 |
Statistics II
|
Range and Interquartile Range
|
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 |
-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 |
KLB Secondary Mathematics Form 4, Pages 60-65
|
|
| 7 | 4 |
Statistics II
|
Mean Absolute Deviation
Introduction to Variance |
By the end of the
lesson, the learner
should be able to:
-Calculate mean absolute deviation -Use absolute values correctly in calculations -Understand concept of average distance from mean -Apply MAD to compare variability in datasets |
-Calculate MAD for class test scores -Practice with absolute value calculations -Compare MAD values for different subjects -Interpret MAD in context of data spread |
Exercise books
-Manila paper -Test score data -Chalk/markers -Simple datasets |
KLB Secondary Mathematics Form 4, Pages 65-70
|
|
| 7 | 5 |
Statistics II
|
Variance Using Alternative Formula
|
By the end of the
lesson, the learner
should be able to:
-Apply the formula: σ² = (Σx²/n) - x̄² -Use alternative variance formula efficiently -Compare computational methods -Solve variance problems for frequency data |
-Demonstrate both variance formulas -Show computational advantages of alternative formula -Practice with frequency tables -Students choose efficient method |
Exercise books
-Manila paper -Frequency data -Chalk/markers |
KLB Secondary Mathematics Form 4, Pages 65-70
|
|
| 7 | 6 |
Statistics II
|
Standard Deviation Calculations
|
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 |
-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 |
KLB Secondary Mathematics Form 4, Pages 65-70
|
|
| 7 | 7 |
Statistics II
|
Standard Deviation for Grouped Data
|
By the end of the
lesson, the learner
should be able to:
-Calculate standard deviation for frequency distributions -Use working mean with grouped data for SD -Apply coding techniques to simplify calculations -Solve complex grouped data problems |
-Work with agricultural yield data from local farms -Use coding method to simplify calculations -Calculate SD step by step for grouped data -Compare variability in different crops |
Exercise books
-Manila paper -Agricultural data -Chalk/markers |
KLB Secondary Mathematics Form 4, Pages 65-70
|
|
| 7 | 8 |
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 |
-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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| 8 |
END OF YEAR EXAMINATIONS |
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| 9 |
END YEAR EXAMS AND CLOSING WEEK. |
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