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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 1 |
Reporting and revision |
|||||||
| 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 |
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
|
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 |
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
|
KLB Mathematics Book Three Pg 262-264
|
|
| 2 | 3 |
Probability
|
Range of Probability Measure
|
By the end of the
lesson, the learner
should be able to:
Calculate the range of probability measure Express probabilities on scale from 0 to 1 Convert between fractions, decimals, and percentages Interpret probability values correctly |
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
|
KLB Mathematics Book Three Pg 265-266
|
|
| 2 | 4 |
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 |
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 | 5 |
Probability
|
Theoretical Probability advanced
|
By the end of the
lesson, the learner
should be able to:
Calculate the probability space for the theoretical probability Apply theoretical probability to complex problems Handle multiple outcome scenarios Solve advanced theoretical problems |
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
|
KLB Mathematics Book Three Pg 268-270
|
|
| 2 | 6 |
Probability
|
Theoretical Probability applications
Combined Events |
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 |
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 |
Chalk and blackboard, local game examples, practical scenario materials, exercise books
Chalk and blackboard, playing cards, multiple dice, Venn diagram drawings, exercise books |
KLB Mathematics Book Three Pg 268-270
|
|
| 2 | 7 |
Probability
|
Combined Events OR probability
|
By the end of the
lesson, the learner
should be able to:
Find the probability of a combined events Apply addition rule for OR events Calculate "A or B" probabilities Handle mutually exclusive events |
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
|
KLB Mathematics Book Three Pg 272-274
|
|
| 3 | 1 |
Probability
|
Independent Events
|
By the end of the
lesson, the learner
should be able to:
Find the probability of independent events Apply multiplication rule for independent events Calculate "A and B" probabilities Understand independence concepts |
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
|
KLB Mathematics Book Three Pg 274-275
|
|
| 3 | 2 |
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 |
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 | 3 |
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 |
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
|
|
| 3 | 4 |
Probability
Compound Proportion and Rates of Work |
Tree Diagrams advanced
Compound Proportions |
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 |
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
Chalk and blackboard, local business examples, calculators if available, exercise books |
KLB Mathematics Book Three Pg 283-285
|
|
| 3 | 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 |
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
|
|
| 3 | 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 |
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 | 7 |
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 |
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
|
|
| 4 | 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 |
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
|
|
| 4 | 2 |
Graphical Methods
|
Tables of given relations
Graphs 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
Chalk and blackboard, graph paper or grids, rulers, exercise books |
KLB Mathematics Book Three Pg 299
|
|
| 4 | 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
|
|
| 4 | 4 |
Graphical Methods
|
Introduction to cubic equations
|
By the end of the
lesson, the learner
should be able to:
Draw tables of cubic functions Understand cubic equation characteristics Prepare cubic function data systematically Recognize cubic curve patterns |
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
|
|
| 4 | 5 |
Graphical Methods
|
Graphical solution of cubic equations
Advanced cubic solutions |
By the end of the
lesson, the learner
should be able to:
Draw graphs of cubic equations Plot cubic curves accurately Use graphs to solve cubic equations Find roots using graphical methods |
Q/A on cubic curve plotting using systematic point plotting
Discussions on curve characteristics and root finding Solving cubic graphing problems using careful plotting Demonstrations using cubic curve construction Explaining root identification using graph analysis |
Chalk and blackboard, graph paper, cubic equation examples, exercise books
Chalk and blackboard, advanced graph examples, exercise books |
KLB Mathematics Book Three Pg 302-304
|
|
| 4 | 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
|
|
| 4 | 7 |
Graphical Methods
|
Average rates of change
Advanced average rates |
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
Chalk and blackboard, advanced rate scenarios, exercise books |
KLB Mathematics Book Three Pg 304-306
|
|
| 5 | 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
|
|
| 5 | 2 |
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 |
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
|
|
| 5 | 3 |
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 |
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 | 4 |
Graphical Methods
Matrices and Transformation |
Advanced empirical methods
Matrices of Transformation |
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
Exercise books -Manila paper -Ruler -Pencils |
KLB Mathematics Book Three Pg 315-321
|
|
| 5 | 5 |
Matrices and Transformation
|
Identifying Common Transformation Matrices
Finding the Matrix of a Transformation Using the Unit Square Method |
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 |
-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 | 6 |
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
|
|
| 5 | 7 |
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
|
|
| 6 | 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
|
|
|
| 6 | 2 |
Matrices and Transformation
|
Shear Transformations
Stretch 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 -Rubber bands |
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 |
-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
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 |
-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
|
|
| 6 | 5 |
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 |
-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 | 6 |
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
|
|
| 6 | 7 |
Statistics II
|
Mean Using Working Mean - Frequency Tables
Mean for Grouped Data Using Working Mean |
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 -Real datasets |
KLB Secondary Mathematics Form 4, Pages 42-48
|
|
| 7 |
Mid term exams |
|||||||
| 8 |
Midterm break |
|||||||
| 9 | 1 |
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
|
|
| 9 | 2 |
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 |
-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
|
|
| 9 | 3 |
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 |
-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
|
|
| 9 | 4 |
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 |
-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
|
|
| 9 | 5 |
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 |
-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
|
|
| 9 | 6 |
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
|
|
| 9 | 7 |
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 |
-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
|
|
| 10 | 1 |
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
|
|
| 10 | 2 |
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
|
|
| 10 | 3 |
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
|
|
| 10 | 4 |
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
|
|
| 10 | 5 |
Statistics II
|
Standard Deviation for Grouped Data
Advanced Standard Deviation Techniques |
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 -Transformation examples |
KLB Secondary Mathematics Form 4, Pages 65-70
|
|
| 10 | 6 |
Loci
|
Introduction to Loci
|
By the end of the
lesson, the learner
should be able to:
-Define locus and understand its meaning -Distinguish between locus of points, lines, and regions -Identify real-world examples of loci -Understand the concept of movement according to given laws |
-Demonstrate door movement to show path traced by corner -Use string and pencil to show circular locus -Discuss examples: clock hands, pendulum swing -Students trace paths of moving objects |
Exercise books
-Manila paper -String -Chalk/markers |
KLB Secondary Mathematics Form 4, Pages 73-75
|
|
| 10 | 7 |
Loci
|
Basic Locus Concepts and Laws
Perpendicular Bisector Locus |
By the end of the
lesson, the learner
should be able to:
-Understand that loci follow specific laws or conditions -Identify the laws governing different types of movement -Distinguish between 2D and 3D loci -Apply locus concepts to simple problems |
-Physical demonstrations with moving objects -Students track movement of classroom door -Identify laws governing pendulum movement -Practice stating locus laws clearly |
Exercise books
-Manila paper -String -Real objects -Compass -Ruler |
KLB Secondary Mathematics Form 4, Pages 73-75
|
|
| 11 | 1 |
Loci
|
Properties and Applications of Perpendicular Bisector
|
By the end of the
lesson, the learner
should be able to:
-Understand perpendicular bisector in 3D space -Apply perpendicular bisector to find circumcenters -Solve practical problems using perpendicular bisector -Use perpendicular bisector in triangle constructions |
-Find circumcenter of triangle using perpendicular bisectors -Solve water pipe problems (equidistant from two points) -Apply to real-world location problems -Practice with various triangle types |
Exercise books
-Manila paper -Compass -Ruler |
KLB Secondary Mathematics Form 4, Pages 75-82
|
|
| 11 | 2 |
Loci
|
Locus of Points at Fixed Distance from a Point
|
By the end of the
lesson, the learner
should be able to:
-Define circle as locus of points at fixed distance from center -Construct circles with given radius using compass -Understand sphere as 3D locus from fixed point -Solve problems involving circular loci |
-Construct circles of different radii -Demonstrate with string of fixed length -Discuss radar coverage, radio signal range -Students create circles with various measurements |
Exercise books
-Manila paper -Compass -String |
KLB Secondary Mathematics Form 4, Pages 75-82
|
|
| 11 | 3 |
Loci
|
Locus of Points at Fixed Distance from a Line
Angle Bisector Locus |
By the end of the
lesson, the learner
should be able to:
-Define locus of points at fixed distance from straight line -Construct parallel lines at given distances -Understand cylindrical surface in 3D -Apply to practical problems like road margins |
-Construct parallel lines using ruler and set square -Mark points at equal distances from given line -Discuss road design, river banks, field boundaries -Practice with various distances and orientations |
Exercise books
-Manila paper -Ruler -Set square -Compass -Protractor |
KLB Secondary Mathematics Form 4, Pages 75-82
|
|
| 11 | 4 |
Loci
|
Properties and Applications of Angle Bisector
|
By the end of the
lesson, the learner
should be able to:
-Understand relationship between angle bisectors in triangles -Apply angle bisector theorem -Solve problems involving inscribed circles -Use angle bisectors in geometric constructions |
-Construct inscribed circle using angle bisectors -Apply angle bisector theorem to solve problems -Find external angle bisectors -Solve practical surveying problems |
Exercise books
-Manila paper -Compass -Ruler |
KLB Secondary Mathematics Form 4, Pages 75-82
|
|
| 11 | 5 |
Loci
|
Constant Angle Locus
Advanced Constant Angle Constructions |
By the end of the
lesson, the learner
should be able to:
-Understand constant angle locus concept -Construct constant angle loci using arc method -Apply circle theorems to constant angle problems -Solve problems involving angles in semicircles |
-Demonstrate constant angle using protractor -Construct arc passing through two points -Use angles in semicircle property -Practice with different angle measures |
Exercise books
-Manila paper -Compass -Protractor |
KLB Secondary Mathematics Form 4, Pages 75-82
|
|
| 11 | 6 |
Loci
|
Introduction to Intersecting Loci
|
By the end of the
lesson, the learner
should be able to:
-Understand concept of intersecting loci -Identify points satisfying multiple conditions -Find intersection points of two loci -Apply intersecting loci to solve practical problems |
-Demonstrate intersection of two circles -Find points equidistant from two points AND at fixed distance from third point -Solve simple two-condition problems -Practice identifying intersection points |
Exercise books
-Manila paper -Compass -Ruler |
KLB Secondary Mathematics Form 4, Pages 83-89
|
|
| 11 | 7 |
Loci
|
Intersecting Circles and Lines
|
By the end of the
lesson, the learner
should be able to:
-Find intersections of circles with lines -Determine intersections of two circles -Solve problems with line and circle combinations -Apply to geometric construction problems |
-Construct intersecting circles and lines -Find common tangents to circles -Solve problems involving circle-line intersections -Apply to wheel and track problems |
Exercise books
-Manila paper -Compass -Ruler |
KLB Secondary Mathematics Form 4, Pages 83-89
|
|
| 12 | 1 |
Loci
|
Triangle Centers Using Intersecting Loci
Complex Intersecting Loci Problems |
By the end of the
lesson, the learner
should be able to:
-Find circumcenter using perpendicular bisector intersections -Locate incenter using angle bisector intersections -Determine centroid and orthocenter -Apply triangle centers to solve problems |
-Construct all four triangle centers -Compare properties of different triangle centers -Use triangle centers in geometric proofs -Solve problems involving triangle center properties |
Exercise books
-Manila paper -Compass -Ruler -Real-world scenarios |
KLB Secondary Mathematics Form 4, Pages 83-89
|
|
| 12 | 2 |
Loci
|
Introduction to Loci of Inequalities
|
By the end of the
lesson, the learner
should be able to:
-Understand graphical representation of inequalities -Identify regions satisfying inequality conditions -Distinguish between boundary lines and regions -Apply inequality loci to practical constraints |
-Shade regions representing simple inequalities -Use broken and solid lines appropriately -Practice with distance inequalities -Apply to real-world constraint problems |
Exercise books
-Manila paper -Ruler -Colored pencils |
KLB Secondary Mathematics Form 4, Pages 89-92
|
|
| 12 | 3 |
Loci
|
Distance Inequality Loci
Combined Inequality Loci |
By the end of the
lesson, the learner
should be able to:
-Represent distance inequalities graphically -Solve problems with "less than" and "greater than" distances -Find regions satisfying distance constraints -Apply to safety zone problems |
-Shade regions inside and outside circles -Solve exclusion zone problems -Apply to communication range problems -Practice with multiple distance constraints |
Exercise books
-Manila paper -Compass -Colored pencils -Ruler |
KLB Secondary Mathematics Form 4, Pages 89-92
|
|
| 12 | 4 |
Loci
|
Advanced Inequality Applications
|
By the end of the
lesson, the learner
should be able to:
-Apply inequality loci to linear programming introduction -Solve real-world optimization problems -Find maximum and minimum values in regions -Use graphical methods for decision making |
-Solve simple linear programming problems -Find optimal points in feasible regions -Apply to business and farming scenarios -Practice identifying corner points |
Exercise books
-Manila paper -Ruler -Real problem data |
KLB Secondary Mathematics Form 4, Pages 89-92
|
|
| 12 | 5 |
Loci
|
Introduction to Loci Involving Chords
|
By the end of the
lesson, the learner
should be able to:
-Review chord properties in circles -Understand perpendicular bisector of chords -Apply chord theorems to loci problems -Construct equal chords in circles |
-Review chord bisector theorem -Construct chords of given lengths -Find centers using chord properties -Practice with chord intersection theorems |
Exercise books
-Manila paper -Compass -Ruler |
KLB Secondary Mathematics Form 4, Pages 92-94
|
|
| 12 | 6 |
Loci
|
Chord-Based Constructions
Advanced Chord Problems |
By the end of the
lesson, the learner
should be able to:
-Construct circles through three points using chords -Find loci of chord midpoints -Solve problems with intersecting chords -Apply chord properties to geometric constructions |
-Construct circles using three non-collinear points -Find locus of midpoints of parallel chords -Solve chord intersection problems -Practice with chord-tangent relationships |
Exercise books
-Manila paper -Compass -Ruler |
KLB Secondary Mathematics Form 4, Pages 92-94
|
|
| 12 | 7 |
Loci
|
Integration of All Loci Types
|
By the end of the
lesson, the learner
should be able to:
-Combine different types of loci in single problems -Solve comprehensive loci challenges -Apply multiple loci concepts simultaneously -Use loci in geometric investigations |
-Solve multi-step loci problems -Combine circle, line, and angle loci -Apply to real-world complex scenarios -Practice systematic problem-solving |
Exercise books
-Manila paper -Compass -Ruler |
KLB Secondary Mathematics Form 4, Pages 73-94
|
|
| 13 |
End term exams , marking and closing |
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