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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 1 | 1 |
Matrices and
Transformation
|
Transformation on a
Cartesian plane
Identification of transformation matrix |
By the end of the
lesson, the learner
should be able to:
Relate image and objects under a given transformation on the Cartesian plane |
Drawing objects and their images on Cartesian plane Practice Ex 1.1 P5 |
Square boards
Peg boards and strings Rubber band |
- K.M, Advancing in
Math F4 Pg 1-3 - KLB Pg 1-6 |
|
| 1 | 2 |
Matrices and
Transformation
|
Successive
transformation
Single matrix of transformation for successive transformation Relate Identity Matrix and Transformation |
By the end of the
lesson, the learner
should be able to:
Perform successive transformation |
Drawing objects and its successive images KLB Ex 1.4 |
Square boards
Peg boards and strings Rubber band Calculators |
- K.M, Advancing in
Math F4 Pg 15-17 - KLB Pg 16-24 |
|
| 1 | 3 |
Matrices and
Transformation
|
Inverse of a matrix area
scale factor and
determinant of a matrix
Area of scale factor and determinant of a matrix Shear and stretch |
By the end of the
lesson, the learner
should be able to:
Determine the inverse of a transformation |
Practice exercise Ex 1.5 KLB BK 4 |
Calculators
Boards and strings Peg boards and strings Rubber band Square boards Calculators |
- K.M, Advancing in
Math F4 Pg 14-15 - KLB Pg 24-26 |
|
| 1 | 4 |
Statistics
|
Ogive
Median Quartile |
By the end of the
lesson, the learner
should be able to:
Use cumulative frequency tables to Draw the ogive |
Drawing cumulative frequency curve (ogive) KLB Pg 4, Ex. 2.2 |
Square boards
Graph papers Calculators |
- K.M, Advancing in
Math F4 Pg 28-29 - KLB Pg 51-52 |
|
| 1 | 5 |
Statistics
|
Range- inter quartile
range
Quartile deviation |
By the end of the
lesson, the learner
should be able to:
Define and calculate measure of dispersion-range, quartiles and inter-quartile range |
Practice exercise KLB Pg 4, Ex. 2.2 |
Calculators
|
- K.M, Advancing in
Math F4 Pg 32-33 - KLB BK 4 |
|
| 1 | 6 |
Statistics
Loci |
Variance
Standard deviation Common types of Loci |
By the end of the
lesson, the learner
should be able to:
Define and calculate measures of Dispersion, variance interpret measure of dispersion |
Practice exercise KLB Pg 4, Ex. 2.2 |
Calculators
Geometrical patterns |
- K.M, Advancing in
Math F4 Pg 34-35 - KLB Bk4 Pg 57-59 |
|
| 1 | 7 |
Loci
|
Perpendicular bisector
Loci
Loci of a point at a given distance from a fixed point and fixed line |
By the end of the
lesson, the learner
should be able to:
Describe common types of loci |
Practice exercise KLB Pg 4, Ex. 3.2 |
Geometrical patterns
|
- K.M, Advancing in
Math F4 Pg 40 - KLB Bk4 Pg 69 |
|
| 2 |
OPENER EXAM |
|||||||
| 3 | 1 |
Loci
|
Angle bisector
Loci
Constant angle loci Construction:- loci of the equalities |
By the end of the
lesson, the learner
should be able to:
Describe common types of loci |
Practice exercise KLB Pg 4, Ex. 3.2 |
Geometrical patterns
Geometrical instruments |
- K.M, Advancing in
Math F4 Pg 41 - KLB Bk4 Pg 71-72 |
|
| 3 | 2 |
Loci
Trigonometry |
Loci involving chords
Loci under given conditions including intersecting chords Trigonometric ratios |
By the end of the
lesson, the learner
should be able to:
Construct loci involving chords |
Practice exercise KLB Pg 4, Ex. 3.5 |
Geometrical
instruments Chart illustrating Trigonometric ratios |
- K.M, Advancing in
Math F4 Pg 45-47 - KLB Bk4 Pg 84 |
|
| 3 | 3 |
Matrices
|
Introduction and real-life applications
Order of a matrix and elements Square matrices, row and column matrices Addition of matrices |
By the end of the
lesson, the learner
should be able to:
Define matrices and identify matrix applications Recognize matrices in everyday contexts Understand tabular data representation Appreciate the importance of matrices |
Q/A on tabular data in daily life
Discussions on school exam results tables Analyzing bus timetables and price lists Demonstrations using newspaper sports tables Explaining matrix notation using grid patterns |
Old newspapers with league tables, chalk and blackboard, exercise books
Chalk and blackboard, ruled exercise books, class register Paper cutouts, chalk and blackboard, counters or bottle tops Counters or stones, chalk and blackboard, exercise books |
KLB Mathematics Book Three Pg 168-169
|
|
| 3 | 4 |
Matrices
|
Subtraction of matrices
Combined addition and subtraction Scalar multiplication Introduction to matrix multiplication |
By the end of the
lesson, the learner
should be able to:
Subtract matrices of the same order Apply matrix subtraction rules correctly Understand order requirements for subtraction Solve complex matrix subtraction problems |
Q/A on matrix subtraction using simple numbers
Discussions on element-wise subtraction using examples Solving subtraction problems on blackboard Demonstrations using number line concepts Explaining sign changes using practical examples |
Chalk and blackboard, exercise books, number cards made from cardboard
Chalk and blackboard, exercise books, locally made operation cards Beans or stones for grouping, chalk and blackboard, exercise books Chalk and blackboard, rulers for tracing, exercise books |
KLB Mathematics Book Three Pg 170-171
|
|
| 3 | 5 |
Matrices
|
Matrix multiplication (2×2 matrices)
Matrix multiplication (larger matrices) Properties of matrix multiplication |
By the end of the
lesson, the learner
should be able to:
Multiply 2×2 matrices systematically Apply correct multiplication procedures Calculate matrix products accurately Understand result matrix dimensions |
Q/A on 2×2 matrix multiplication using simple numbers
Discussions on systematic calculation methods Solving 2×2 problems using step-by-step approach Demonstrations using organized blackboard layout Explaining product formation using grid method |
Chalk and blackboard, exercise books, homemade grid templates
Chalk and blackboard, large sheets of paper for working, exercise books Chalk and blackboard, exercise books, cardboard for property cards |
KLB Mathematics Book Three Pg 176-179
|
|
| 3 | 6 |
Matrices
|
Real-world matrix multiplication applications
Identity matrix |
By the end of the
lesson, the learner
should be able to:
Apply matrix multiplication to practical problems Solve business and economic applications Calculate costs, revenues, and quantities Interpret matrix multiplication results |
Q/A on practical applications using local business examples
Discussions on market problems using familiar contexts Solving real-world problems using matrix methods Demonstrations using shop keeper scenarios Explaining result interpretation using meaningful contexts |
Chalk and blackboard, local price lists, exercise books
Chalk and blackboard, exercise books, pattern cards made from paper |
KLB Mathematics Book Three Pg 176-179
|
|
| 3 | 7 |
Matrices
|
Determinant of 2×2 matrices
Inverse of 2×2 matrices - theory |
By the end of the
lesson, the learner
should be able to:
Calculate determinants of 2×2 matrices Apply the determinant formula correctly Understand geometric interpretation of determinants Use determinants to classify matrices |
Q/A on determinant calculation using cross multiplication
Discussions on formula application using memory aids Solving determinant problems using systematic approach Demonstrations using cross pattern method Explaining geometric meaning using area concepts |
Chalk and blackboard, exercise books, crossed sticks for demonstration
Chalk and blackboard, exercise books, fraction examples |
KLB Mathematics Book Three Pg 183
|
|
| 4 | 1 |
Matrices
|
Inverse of 2×2 matrices - practice
Introduction to solving simultaneous equations |
By the end of the
lesson, the learner
should be able to:
Calculate inverses of 2×2 matrices systematically Verify inverse calculations through multiplication Apply inverse properties correctly Solve complex inverse problems |
Q/A on inverse calculation verification methods
Discussions on accuracy checking using multiplication Solving advanced inverse problems using practice Demonstrations using verification procedures Explaining checking methods using examples |
Chalk and blackboard, exercise books, scrap paper for verification
Chalk and blackboard, exercise books, equation examples from previous topics |
KLB Mathematics Book Three Pg 185-187
|
|
| 4 | 2 |
Matrices
|
Solving 2×2 simultaneous equations using matrices
Advanced simultaneous equation problems |
By the end of the
lesson, the learner
should be able to:
Solve 2×2 simultaneous equations using matrix methods Apply inverse matrix techniques Verify solutions by substitution Compare matrix method with other techniques |
Q/A on matrix solution methods using step-by-step approach
Discussions on solution verification using substitution Solving 2×2 systems using complete method Demonstrations using organized solution process Explaining method advantages using comparisons |
Chalk and blackboard, exercise books, previous elimination method examples
Chalk and blackboard, exercise books, graph paper if available |
KLB Mathematics Book Three Pg 188-190
|
|
| 4 | 3 |
Matrices
|
Matrix applications in real-world problems
Transpose of matrices Matrix equation solving |
By the end of the
lesson, the learner
should be able to:
Apply matrix operations to practical scenarios Solve business, engineering, and scientific problems Model real situations using matrices Interpret matrix solutions in context |
Q/A on practical applications using local examples
Discussions on modeling using familiar situations Solving comprehensive problems using matrix tools Demonstrations using community-based scenarios Explaining solution interpretation using meaningful contexts |
Chalk and blackboard, local business examples, exercise books
Chalk and blackboard, exercise books, paper cutouts for demonstration Chalk and blackboard, exercise books, algebra reference examples |
KLB Mathematics Book Three Pg 168-190
|
|
| 4 | 4 |
Formulae and Variations
|
Introduction to formulae
Subject of a formula - basic cases |
By the end of the
lesson, the learner
should be able to:
Define formulae and identify formula components Recognize formulae in everyday contexts Understand the relationship between variables Appreciate the importance of formulae in mathematics |
Q/A on familiar formulae from daily life
Discussions on cooking recipes as formulae Analyzing distance-time relationships using walking examples Demonstrations using perimeter and area calculations Explaining formula notation using simple examples |
Chalk and blackboard, measuring tape or string, exercise books
Chalk and blackboard, simple balance (stones and stick), exercise books |
KLB Mathematics Book Three Pg 191-193
|
|
| 4 | 5 |
Formulae and Variations
|
Subject of a formula - intermediate cases
Subject of a formula - advanced cases |
By the end of the
lesson, the learner
should be able to:
Make complex variables the subject of formulae Handle formulae with fractions and powers Apply multiple inverse operations systematically Solve intermediate difficulty problems |
Q/A on complex rearrangement using systematic approach
Discussions on fraction handling using common denominators Solving intermediate problems using organized methods Demonstrations using step-by-step blackboard work Explaining systematic approaches using flowcharts |
Chalk and blackboard, fraction strips made from paper, exercise books
Chalk and blackboard, squared paper patterns, exercise books |
KLB Mathematics Book Three Pg 191-193
|
|
| 4 | 6 |
Formulae and Variations
|
Applications of formula manipulation
Introduction to variation |
By the end of the
lesson, the learner
should be able to:
Apply formula rearrangement to practical problems Solve real-world problems using formula manipulation Calculate unknown quantities in various contexts Interpret results in meaningful situations |
Q/A on practical applications using local examples
Discussions on real-world formula use in farming/building Solving application problems using formula rearrangement Demonstrations using construction and farming scenarios Explaining practical interpretation using community examples |
Chalk and blackboard, local measurement tools, exercise books
Chalk and blackboard, local price lists from markets, exercise books |
KLB Mathematics Book Three Pg 191-193
|
|
| 4 | 7 |
Formulae and Variations
Sequences and Series |
Direct variation - introduction
Introduction to sequences and finding terms |
By the end of the
lesson, the learner
should be able to:
Understand direct proportionality concepts Recognize direct variation patterns Use direct variation notation correctly Calculate constants of proportionality |
Q/A on direct relationships using simple examples
Discussions on proportional changes using market scenarios Solving basic direct variation problems Demonstrations using doubling and tripling examples Explaining proportionality using ratio concepts |
Chalk and blackboard, beans or stones for counting, exercise books
Chalk and blackboard, stones or beans for patterns, exercise books |
KLB Mathematics Book Three Pg 194-196
|
|
| 5 | 1 |
Sequences and Series
|
General term of sequences and applications
Arithmetic sequences and nth term |
By the end of the
lesson, the learner
should be able to:
Develop general rules for sequences Express the nth term using algebraic notation Find specific terms using general formulas Apply sequence concepts to practical problems |
Q/A on rule formulation using systematic approach
Discussions on algebraic expression development Solving general term and application problems Demonstrations using position-value relationships Explaining practical relevance using community examples |
Chalk and blackboard, numbered cards made from paper, exercise books
Chalk and blackboard, measuring tape or string, exercise books |
KLB Mathematics Book Three Pg 207-208
|
|
| 5 | 2 |
Sequences and Series
|
Arithmetic sequence applications
Geometric sequences and nth term Geometric sequence applications |
By the end of the
lesson, the learner
should be able to:
Solve complex arithmetic sequence problems Apply arithmetic sequences to real-world problems Handle word problems involving arithmetic sequences Model practical situations using arithmetic progressions |
Q/A on practical applications using local business examples
Discussions on salary progression and savings plans Solving real-world problems using sequence methods Demonstrations using employment and finance scenarios Explaining practical interpretation using meaningful contexts |
Chalk and blackboard, local employment/savings examples, exercise books
Chalk and blackboard, objects for doubling demonstrations, exercise books Chalk and blackboard, population/growth data examples, exercise books |
KLB Mathematics Book Three Pg 209-210
|
|
| 5 | 3 |
Sequences and Series
|
Arithmetic series and sum formula
Geometric series and applications |
By the end of the
lesson, the learner
should be able to:
Define arithmetic series as sums of sequences Derive the sum formula for arithmetic series Apply the arithmetic series formula systematically Calculate sums efficiently using the formula |
Q/A on series concepts using summation examples
Discussions on sequence-to-series relationships and formula derivation Solving arithmetic series problems using step-by-step approach Demonstrations using cumulative sum examples Explaining derivation logic using algebraic reasoning |
Chalk and blackboard, counting materials for summation, exercise books
Chalk and blackboard, convergence demonstration materials, exercise books |
KLB Mathematics Book Three Pg 214-215
|
|
| 5 | 4 |
Sequences and Series
|
Mixed problems and advanced applications
Sequences in nature and technology |
By the end of the
lesson, the learner
should be able to:
Combine arithmetic and geometric concepts Solve complex mixed sequence and series problems Apply appropriate methods for different types Model real-world situations using mathematical sequences |
Q/A on problem type identification using systematic analysis
Discussions on method selection and comprehensive applications Solving mixed problems using appropriate techniques Demonstrations using interdisciplinary scenarios Explaining method choice using logical reasoning |
Chalk and blackboard, mixed problem collections, exercise books
Chalk and blackboard, natural and technology examples, exercise books |
KLB Mathematics Book Three Pg 207-219
|
|
| 5 | 5 |
Vectors (II)
|
Coordinates in two dimensions
Coordinates in three dimensions |
By the end of the
lesson, the learner
should be able to:
Identify the coordinates of a point in two dimensions Plot points on coordinate planes accurately Understand position representation using coordinates Apply coordinate concepts to practical situations |
Q/A on coordinate identification using grid references
Discussions on map reading and location finding Solving coordinate plotting problems using systematic methods Demonstrations using classroom grid systems and floor patterns Explaining coordinate applications using local maps and directions |
Chalk and blackboard, squared paper or grid drawn on ground, exercise books
Chalk and blackboard, 3D models made from sticks and clay, exercise books |
KLB Mathematics Book Three Pg 221-222
|
|
| 5 | 6 |
Vectors (II)
|
Column and position vectors in three dimensions
Position vectors and applications |
By the end of the
lesson, the learner
should be able to:
Find a displacement and represent it in column vector Calculate the position vector Express vectors in column form Apply column vector notation systematically |
Q/A on displacement representation using movement examples
Discussions on vector notation using organized column format Solving column vector problems using systematic methods Demonstrations using physical movement and direction examples Explaining vector components using practical displacement |
Chalk and blackboard, movement demonstration space, exercise books
Chalk and blackboard, origin marking systems, exercise books |
KLB Mathematics Book Three Pg 223-224
|
|
| 5 | 7 |
Vectors (II)
|
Column vectors in terms of unit vectors i, j, k
Vector operations using unit vectors Magnitude of a vector in three dimensions |
By the end of the
lesson, the learner
should be able to:
Express vectors in terms of unit vectors Convert between column and unit vector notation Understand the standard basis vector system Apply unit vector representation systematically |
Q/A on unit vector concepts using direction examples
Discussions on component representation using organized methods Solving unit vector problems using systematic conversion Demonstrations using perpendicular direction examples Explaining basis vector concepts using coordinate axes |
Chalk and blackboard, direction indicators, unit vector reference charts, exercise books
Chalk and blackboard, component calculation aids, exercise books Chalk and blackboard, 3D measurement aids, exercise books |
KLB Mathematics Book Three Pg 226-228
|
|
| 6-8 |
MID TERM EXAMINATION & HALF TERM BREAK |
|||||||
| 9 | 1 |
Vectors (II)
|
Magnitude applications and unit vectors
Parallel vectors |
By the end of the
lesson, the learner
should be able to:
Calculate the magnitude of a vector in three dimensions Find unit vectors from given vectors Apply magnitude concepts to practical problems Use magnitude in vector normalization |
Q/A on magnitude and unit vector relationships
Discussions on normalization and direction finding Solving magnitude and unit vector problems Demonstrations using direction and length separation Explaining practical applications using navigation examples |
Chalk and blackboard, direction finding aids, exercise books
Chalk and blackboard, parallel line demonstrations, exercise books |
KLB Mathematics Book Three Pg 229-230
|
|
| 9 | 2 |
Vectors (II)
|
Collinearity
Advanced collinearity applications |
By the end of the
lesson, the learner
should be able to:
Show that points are collinear Apply vector methods to prove collinearity Test for collinear points using vector techniques Solve collinearity problems systematically |
Q/A on collinearity testing using vector proportion methods
Discussions on point alignment using vector analysis Solving collinearity problems using systematic verification Demonstrations using straight-line point examples Explaining collinearity using geometric alignment concepts |
Chalk and blackboard, straight-line demonstrations, exercise books
Chalk and blackboard, complex geometric aids, exercise books |
KLB Mathematics Book Three Pg 232-234
|
|
| 9 | 3 |
Vectors (II)
|
Proportional division of a line
External division of a line |
By the end of the
lesson, the learner
should be able to:
Divide a line internally in the given ratio Apply the internal division formula Calculate division points using vector methods Understand proportional division concepts |
Q/A on internal division using systematic formula application
Discussions on ratio division using proportional methods Solving internal division problems using organized approaches Demonstrations using internal point construction examples Explaining internal division using geometric visualization |
Chalk and blackboard, internal division models, exercise books
Chalk and blackboard, external division models, exercise books |
KLB Mathematics Book Three Pg 237-238
|
|
| 9 | 4 |
Vectors (II)
|
Combined internal and external division
Ratio theorem |
By the end of the
lesson, the learner
should be able to:
Divide a line internally and externally in the given ratio Apply both division formulas systematically Compare internal and external division results Handle mixed division problems |
Q/A on combined division using comparative methods
Discussions on division type selection using problem analysis Solving combined division problems using systematic approaches Demonstrations using both division types Explaining division relationships using geometric reasoning |
Chalk and blackboard, combined division models, exercise books
Chalk and blackboard, ratio theorem aids, exercise books |
KLB Mathematics Book Three Pg 239
|
|
| 9 | 5 |
Vectors (II)
|
Advanced ratio theorem applications
Mid-point Ratio theorem and midpoint integration |
By the end of the
lesson, the learner
should be able to:
Find the position vector Apply ratio theorem to complex scenarios Solve multi-step ratio problems Use ratio theorem in geometric proofs |
Q/A on advanced ratio applications using complex problems
Discussions on multi-step ratio calculation Solving challenging ratio problems using systematic methods Demonstrations using comprehensive ratio examples Explaining advanced applications using detailed reasoning |
Chalk and blackboard, advanced ratio models, exercise books
Chalk and blackboard, midpoint demonstration aids, exercise books Chalk and blackboard, complex problem materials, exercise books |
KLB Mathematics Book Three Pg 242
|
|
| 9 | 6 |
Vectors (II)
|
Advanced ratio theorem applications
Applications of vectors in geometry |
By the end of the
lesson, the learner
should be able to:
Use ratio theorem to find the given vectors Apply ratio theorem to challenging problems Handle complex geometric applications Demonstrate comprehensive ratio mastery |
Q/A on comprehensive ratio understanding using advanced problems
Discussions on complex ratio relationships Solving advanced ratio problems using systematic methods Demonstrations using sophisticated geometric constructions Explaining mastery using challenging applications |
Chalk and blackboard, advanced geometric aids, exercise books
Chalk and blackboard, parallelogram models, exercise books |
KLB Mathematics Book Three Pg 246-248
|
|
| 9 | 7 |
Vectors (II)
|
Rectangle diagonal applications
Advanced geometric applications |
By the end of the
lesson, the learner
should be able to:
Use vectors to show the diagonals of a rectangle Apply vector methods to rectangle properties Prove rectangle theorems using vectors Compare parallelogram and rectangle diagonal properties |
Q/A on rectangle properties using vector analysis
Discussions on diagonal relationships using vector methods Solving rectangle problems using systematic approaches Demonstrations using rectangle constructions and vector proofs Explaining rectangle properties using vector reasoning |
Chalk and blackboard, rectangle models, exercise books
Chalk and blackboard, advanced geometric models, exercise books |
KLB Mathematics Book Three Pg 248-250
|
|
| 10 | 1 |
Binomial Expansion
|
Binomial expansions up to power four
Binomial expansions up to power four (continued) |
By the end of the
lesson, the learner
should be able to:
Expand binomial function up to power four Apply systematic multiplication methods Recognize coefficient patterns in expansions Use multiplication to expand binomial expressions |
Q/A on algebraic multiplication using familiar expressions
Discussions on systematic expansion using step-by-step methods Solving basic binomial multiplication problems Demonstrations using area models and rectangular arrangements Explaining pattern recognition using organized layouts |
Chalk and blackboard, rectangular cutouts from paper, exercise books
Chalk and blackboard, squared paper for geometric models, exercise books |
KLB Mathematics Book Three Pg 256
|
|
| 10 | 2 |
Binomial Expansion
|
Pascal's triangle
Pascal's triangle applications |
By the end of the
lesson, the learner
should be able to:
Use Pascal's triangle Construct Pascal's triangle systematically Apply triangle coefficients for binomial expansions Recognize number patterns in the triangle |
Q/A on triangle construction using addition patterns
Discussions on coefficient relationships using triangle analysis Solving triangle construction and application problems Demonstrations using visual triangle building Explaining pattern connections using systematic observation |
Chalk and blackboard, triangular patterns drawn/cut from paper, exercise books
Chalk and blackboard, Pascal's triangle reference charts, exercise books |
KLB Mathematics Book Three Pg 256-257
|
|
| 10 | 3 |
Binomial Expansion
|
Pascal's triangle (continued)
Pascal's triangle advanced |
By the end of the
lesson, the learner
should be able to:
Use Pascal's triangle Apply triangle to complex expansion problems Handle higher powers using Pascal's triangle Integrate triangle concepts with algebraic expansion |
Q/A on advanced triangle applications using complex examples
Discussions on higher power expansion using triangle methods Solving challenging problems using Pascal's triangle Demonstrations using detailed triangle constructions Explaining integration using comprehensive examples |
Chalk and blackboard, advanced triangle patterns, exercise books
Chalk and blackboard, combination calculation aids, exercise books |
KLB Mathematics Book Three Pg 258-259
|
|
| 10 | 4 |
Binomial Expansion
Probability |
Applications to numerical cases
Applications to numerical cases (continued) Introduction |
By the end of the
lesson, the learner
should be able to:
Use binomial expansion to solve numerical problems Apply expansions for numerical approximations Calculate values using binomial methods Understand practical applications of expansions |
Q/A on numerical applications using approximation techniques
Discussions on calculation shortcuts using expansion methods Solving numerical problems using binomial approaches Demonstrations using practical calculation scenarios Explaining approximation benefits using real examples |
Chalk and blackboard, simple calculation aids, exercise books
Chalk and blackboard, advanced calculation examples, exercise books Chalk and blackboard, coins, dice made from cardboard, exercise books |
KLB Mathematics Book Three Pg 259-260
|
|
| 10 | 5 |
Probability
|
Experimental Probability
Experimental Probability applications |
By the end of the
lesson, the learner
should be able to:
Calculate the experimental probability Conduct probability experiments systematically Record and analyze experimental data Compare experimental results with expectations |
Q/A on frequency counting using repeated experiments
Discussions on trial repetition and result recording Solving experimental probability problems using data collection Demonstrations using coin toss and dice roll experiments Explaining frequency ratio calculations using practical examples |
Chalk and blackboard, coins, cardboard dice, tally charts, exercise books
Chalk and blackboard, extended experimental materials, data recording sheets, exercise books |
KLB Mathematics Book Three Pg 262-264
|
|
| 10 | 6 |
Probability
|
Range of Probability Measure
Probability Space |
By the end of the
lesson, the learner
should be able to:
Calculate the range of probability measure Express probabilities on scale from 0 to 1 Convert between fractions, decimals, and percentages Interpret probability values correctly |
Q/A on probability scale using number line representations
Discussions on probability conversion between forms Solving probability scale problems using systematic methods Demonstrations using probability line and scale examples Explaining scale interpretation using practical scenarios |
Chalk and blackboard, number line drawings, probability scale charts, exercise books
Chalk and blackboard, playing cards (locally made), spinners from cardboard, exercise books |
KLB Mathematics Book Three Pg 265-266
|
|
| 10 | 7 |
Probability
|
Theoretical Probability
Theoretical Probability advanced |
By the end of the
lesson, the learner
should be able to:
Calculate the probability space for the theoretical probability Apply mathematical reasoning to find probabilities Use equally likely outcome assumptions Calculate theoretical probabilities systematically |
Q/A on theoretical calculation using mathematical principles
Discussions on equally likely assumptions and calculations Solving theoretical problems using systematic approaches Demonstrations using fair dice and unbiased coin examples Explaining mathematical probability using logical reasoning |
Chalk and blackboard, fair dice and coins, probability calculation aids, exercise books
Chalk and blackboard, complex probability materials, advanced calculation aids, exercise books |
KLB Mathematics Book Three Pg 266-268
|
|
| 11 | 1 |
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
|
|
| 11 | 2 |
Probability
|
Combined Events OR probability
Independent Events Independent Events advanced |
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
Chalk and blackboard, multiple coins and dice, independence demonstration materials, exercise books Chalk and blackboard, playing cards for replacement scenarios, multiple experimental setups, exercise books |
KLB Mathematics Book Three Pg 272-274
|
|
| 11 | 3 |
Probability
|
Independent Events applications
Tree Diagrams |
By the end of the
lesson, the learner
should be able to:
Find the probability of independent events Apply independence to practical problems Solve complex multi-event scenarios Integrate independence with other concepts |
Q/A on complex event analysis using systematic problem-solving
Discussions on rule selection and application strategies Solving advanced combined problems using integrated approaches Demonstrations using complex experimental scenarios Explaining strategic problem-solving using logical analysis |
Chalk and blackboard, complex experimental materials, advanced calculation aids, exercise books
Chalk and blackboard, tree diagram templates, branching materials, exercise books |
KLB Mathematics Book Three Pg 278-280
|
|
| 11 | 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
|
|
| 11 | 5 |
Compound Proportion and Rates of Work
|
Compound Proportions applications
Proportional Parts |
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
Chalk and blackboard, sharing demonstration materials, exercise books |
KLB Mathematics Book Three Pg 290-291
|
|
| 11 | 6 |
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
|
|
| 11 | 7 |
Compound Proportion and Rates of Work
Graphical Methods |
Rates of Work and Mixtures
Tables of given relations |
By the end of the
lesson, the learner
should be able to:
Calculate the rate of work Apply work rates to complex scenarios Handle mixture problems and combinations Solve advanced rate and mixture problems |
Q/A on advanced work rates using complex scenarios
Discussions on mixture problems using practical examples Solving challenging rate and mixture problems using systematic approaches Demonstrations using cooking, construction, and manufacturing examples Explaining mixture concepts using practical applications |
Chalk and blackboard, mixture demonstration materials, exercise books
Chalk and blackboard, ruled paper for tables, exercise books |
KLB Mathematics Book Three Pg 295-296
|
|
| 12 |
CLOSING CAT |
|||||||
| 13 | 1 |
Graphical Methods
|
Graphs of given relations
Tables and graphs integration Introduction to cubic equations |
By the end of the
lesson, the learner
should be able to:
Draw 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
Chalk and blackboard, graph paper, data examples, exercise books Chalk and blackboard, cubic function examples, exercise books |
KLB Mathematics Book Three Pg 300
|
|
| 13 | 2 |
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
|
|
| 13 | 3 |
Graphical Methods
|
Introduction to rates of change
Average rates of change |
By the end of the
lesson, the learner
should be able to:
Calculate the average rates of change Understand rate of change concepts Apply rate calculations to practical problems Interpret rate meanings in context |
Q/A on rate calculation using slope methods
Discussions on rate interpretation using practical examples Solving basic rate problems using systematic calculation Demonstrations using speed-time and distance examples Explaining rate concepts using practical analogies |
Chalk and blackboard, rate calculation examples, exercise books
Chalk and blackboard, graph paper, rate examples, exercise books |
KLB Mathematics Book Three Pg 304-306
|
|
| 13 | 4 |
Graphical Methods
|
Advanced average rates
Introduction to instantaneous rates |
By the end of the
lesson, the learner
should be able to:
Calculate the average rates of change Handle complex rate scenarios Apply rates to business and scientific problems Integrate rate concepts with other topics |
Q/A on complex rate applications using advanced scenarios
Discussions on business and scientific rate applications Solving challenging rate problems using integrated methods Demonstrations using comprehensive rate examples Explaining advanced applications using detailed analysis |
Chalk and blackboard, advanced rate scenarios, exercise books
Chalk and blackboard, tangent line examples, exercise books |
KLB Mathematics Book Three Pg 304-310
|
|
| 13 | 5 |
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
|
|
| 13 |
SCHOOL CLOSING |
|||||||
| 14 | 1 |
Graphical Methods
|
Empirical graphs
Advanced empirical methods |
By the end of the
lesson, the learner
should be able to:
Draw the empirical graphs Understand empirical data representation Plot experimental data systematically Analyze empirical relationships |
Q/A on empirical data plotting using experimental examples
Discussions on real data representation using practical scenarios Solving empirical graphing problems using systematic methods Demonstrations using experimental data examples Explaining empirical analysis using practical interpretations |
Chalk and blackboard, experimental data examples, exercise books
Chalk and blackboard, complex data examples, exercise books |
KLB Mathematics Book Three Pg 315-316
|
|
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