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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 1 |
REPORTING TO SCHOOL AND ADMINISTERING OPENER EXAMS |
|||||||
| 2 | 1 |
Circles: Chords and Tangents
|
Tangent to a circle
|
By the end of the
lesson, the learner
should be able to:
Construct a tangent to a circle Understand tangent properties Apply tangent construction methods |
Q/A on tangent definition and properties
Discussions on tangent construction Solving basic tangent problems Demonstrations of construction techniques Explaining tangent characteristics |
Geometrical set, calculators
|
KLB Mathematics Book Three Pg 139-140
|
|
| 2 | 2 |
Circles: Chords and Tangents
|
Tangent to a circle
Properties of tangents to a circle from an external point |
By the end of the
lesson, the learner
should be able to:
Calculate the length of tangent Calculate the angle between tangents Apply tangent measurement techniques |
Q/A on tangent calculations
Discussions on tangent measurement Solving tangent calculation problems Demonstrations of measurement methods Explaining tangent applications |
Geometrical set, calculators
|
KLB Mathematics Book Three Pg 141-142
|
|
| 2 | 3 |
Circles: Chords and Tangents
|
Tangent properties
Tangents to two circles Tangents to two circles |
By the end of the
lesson, the learner
should be able to:
Solve comprehensive tangent problems Apply all tangent concepts Integrate tangent knowledge systematically |
Q/A on comprehensive tangent mastery
Discussions on integrated applications Solving mixed tangent problems Demonstrations of complete understanding Explaining systematic problem-solving |
Geometrical set, calculators
|
KLB Mathematics Book Three Pg 139-147
|
|
| 2 | 4 |
Circles: Chords and Tangents
|
Contact of circles
|
By the end of the
lesson, the learner
should be able to:
Calculate the radii of contact circles Understand internal contact properties Apply contact circle concepts |
Q/A on circle contact concepts
Discussions on internal contact properties Solving internal contact problems Demonstrations of contact relationships Explaining geometric principles |
Geometrical set, calculators
|
KLB Mathematics Book Three Pg 151-153
|
|
| 2 | 5 |
Circles: Chords and Tangents
|
Circle contact
Angle in alternate segment Angle in alternate segment |
By the end of the
lesson, the learner
should be able to:
Solve problems involving chords, tangents and contact circles Integrate all contact concepts Apply comprehensive contact knowledge |
Q/A on comprehensive contact understanding
Discussions on integrated problem-solving Solving complex contact problems Demonstrations of systematic approaches Explaining complete contact mastery |
Geometrical set, calculators
|
KLB Mathematics Book Three Pg 154-157
|
|
| 2 | 6 |
Circles: Chords and Tangents
|
Circumscribed circle
Escribed circles Centroid |
By the end of the
lesson, the learner
should be able to:
Construct circumscribed circles Find circumscribed circle properties Apply circumscription concepts |
Q/A on circumscription concepts
Discussions on circumscribed circle construction Solving circumscription problems Demonstrations of construction techniques Explaining circumscription applications |
Geometrical set, calculators
|
KLB Mathematics Book Three Pg 165
|
|
| 2 | 7 |
Circles: Chords and Tangents
Matrices |
Orthocenter
Circle and triangle relationships Introduction and real-life applications |
By the end of the
lesson, the learner
should be able to:
Construct orthocenter Find orthocenter properties Apply orthocenter concepts |
Q/A on orthocenter concepts
Discussions on orthocenter construction Solving orthocenter problems Demonstrations of construction methods Explaining orthocenter applications |
Geometrical set, calculators
Old newspapers with league tables, chalk and blackboard, exercise books |
KLB Mathematics Book Three Pg 167
|
|
| 3 | 1 |
Matrices
|
Order of a matrix and elements
Square matrices, row and column matrices Addition of matrices Subtraction of matrices Combined addition and subtraction |
By the end of the
lesson, the learner
should be able to:
Determine the order of given matrices Identify matrix elements by position Use correct notation for matrix elements Distinguish between different matrix types |
Q/A on matrix structure using grid drawings
Discussions on rows and columns using classroom seating Solving element location using coordinate games Demonstrations using drawn grids on blackboard Explaining position notation using class register |
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 Chalk and blackboard, exercise books, number cards made from cardboard Chalk and blackboard, exercise books, locally made operation cards |
KLB Mathematics Book Three Pg 169-170
|
|
| 3 | 2 |
Matrices
|
Scalar multiplication
Introduction to matrix multiplication Matrix multiplication (2×2 matrices) Matrix multiplication (larger matrices) |
By the end of the
lesson, the learner
should be able to:
Multiply matrices by scalar quantities Apply scalar multiplication rules Understand the effect of scalar multiplication Solve scalar multiplication problems |
Q/A on scalar multiplication using times tables
Discussions on scaling using multiplication concepts Solving scalar problems using repeated addition Demonstrations using groups of objects Explaining scalar effects using enlargement concepts |
Beans or stones for grouping, chalk and blackboard, exercise books
Chalk and blackboard, rulers for tracing, exercise books Chalk and blackboard, exercise books, homemade grid templates Chalk and blackboard, large sheets of paper for working, exercise books |
KLB Mathematics Book Three Pg 174-175
|
|
| 3 | 3 |
Matrices
|
Properties of matrix multiplication
Real-world matrix multiplication applications |
By the end of the
lesson, the learner
should be able to:
Understand non-commutativity of matrix multiplication Apply associative and distributive properties Distinguish between pre and post multiplication Solve problems involving multiplication properties |
Q/A on multiplication properties using counterexamples
Discussions on order importance using practical examples Solving property-based problems using verification Demonstrations using concrete examples Explaining distributive law using expansion |
Chalk and blackboard, exercise books, cardboard for property cards
Chalk and blackboard, local price lists, exercise books |
KLB Mathematics Book Three Pg 174-179
|
|
| 3 | 4 |
Matrices
|
Identity matrix
Determinant of 2×2 matrices Inverse of 2×2 matrices - theory |
By the end of the
lesson, the learner
should be able to:
Define and identify identity matrices Understand identity matrix properties Apply identity matrices in multiplication Recognize the multiplicative identity role |
Q/A on identity concepts using number 1 analogy
Discussions on multiplicative identity using examples Solving identity problems using pattern recognition Demonstrations using multiplication by 1 concept Explaining diagonal properties using visual patterns |
Chalk and blackboard, exercise books, pattern cards made from paper
Chalk and blackboard, exercise books, crossed sticks for demonstration Chalk and blackboard, exercise books, fraction examples |
KLB Mathematics Book Three Pg 182-183
|
|
| 3 | 5 |
Matrices
|
Inverse of 2×2 matrices - practice
Introduction to solving simultaneous equations Solving 2×2 simultaneous equations using matrices |
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 Chalk and blackboard, exercise books, previous elimination method examples |
KLB Mathematics Book Three Pg 185-187
|
|
| 3 | 6 |
Matrices
|
Advanced simultaneous equation problems
Matrix applications in real-world problems |
By the end of the
lesson, the learner
should be able to:
Solve complex simultaneous equation systems Handle systems with no solution or infinite solutions Interpret determinant values in solution context Apply matrix methods to word problems |
Q/A on complex systems using special cases
Discussions on solution types using geometric interpretation Solving challenging problems using complete analysis Demonstrations using classification methods Explaining geometric meaning using line concepts |
Chalk and blackboard, exercise books, graph paper if available
Chalk and blackboard, local business examples, exercise books |
KLB Mathematics Book Three Pg 188-190
|
|
| 3 | 7 |
Matrices
Formulae and Variations |
Transpose of matrices
Matrix equation solving Introduction to formulae |
By the end of the
lesson, the learner
should be able to:
Define and calculate matrix transpose Understand transpose properties Apply transpose operations correctly Solve problems involving transpose |
Q/A on transpose concepts using reflection ideas
Discussions on row-column interchange using visual methods Solving transpose problems using systematic approach Demonstrations using flip and rotate concepts Explaining properties using symmetry ideas |
Chalk and blackboard, exercise books, paper cutouts for demonstration
Chalk and blackboard, exercise books, algebra reference examples Chalk and blackboard, measuring tape or string, exercise books |
KLB Mathematics Book Three Pg 170-174
|
|
| 4 | 1 |
Formulae and Variations
|
Subject of a formula - basic cases
Subject of a formula - intermediate cases |
By the end of the
lesson, the learner
should be able to:
Make simple variables the subject of formulae Apply inverse operations to rearrange formulae Understand the concept of subject change Solve basic subject transformation problems |
Q/A on inverse operations using number examples
Discussions on formula rearrangement using balance method Solving basic subject change problems using step-by-step approach Demonstrations using see-saw balance analogy Explaining inverse operations using practical examples |
Chalk and blackboard, simple balance (stones and stick), exercise books
Chalk and blackboard, fraction strips made from paper, exercise books |
KLB Mathematics Book Three Pg 191-193
|
|
| 4 | 2 |
Formulae and Variations
|
Subject of a formula - advanced cases
Applications of formula manipulation Introduction to variation |
By the end of the
lesson, the learner
should be able to:
Make variables subject in complex formulae Handle square roots and quadratic expressions Apply advanced algebraic manipulation Solve challenging subject transformation problems |
Q/A on advanced manipulation using careful steps
Discussions on square root handling using examples Solving complex problems using systematic approach Demonstrations using detailed blackboard work Explaining quadratic handling using factoring |
Chalk and blackboard, squared paper patterns, exercise books
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 | 3 |
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
|
|
| 4 | 4 |
Sequences and Series
|
General term of sequences and applications
Arithmetic sequences and nth term Arithmetic sequence applications |
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 Chalk and blackboard, local employment/savings examples, exercise books |
KLB Mathematics Book Three Pg 207-208
|
|
| 4 | 5 |
Sequences and Series
|
Geometric sequences and nth term
Geometric sequence applications |
By the end of the
lesson, the learner
should be able to:
Define geometric sequences and common ratios Calculate common ratios correctly Derive and apply the geometric nth term formula Understand exponential growth patterns |
Q/A on geometric patterns using multiplication examples
Discussions on ratio-based progressions and formula derivation Solving geometric sequence problems systematically Demonstrations using doubling and scaling examples Explaining exponential structure using practical examples |
Chalk and blackboard, objects for doubling demonstrations, exercise books
Chalk and blackboard, population/growth data examples, exercise books |
KLB Mathematics Book Three Pg 211-213
|
|
| 4 | 6 |
Sequences and Series
|
Arithmetic series and sum formula
Geometric series and applications Mixed problems and advanced 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 Chalk and blackboard, mixed problem collections, exercise books |
KLB Mathematics Book Three Pg 214-215
|
|
| 4 | 7 |
Sequences and Series
Vectors (II) Vectors (II) |
Sequences in nature and technology
Coordinates in two dimensions Coordinates in three dimensions |
By the end of the
lesson, the learner
should be able to:
Identify mathematical patterns in natural phenomena Analyze sequences in biological and technological contexts Apply sequence concepts to environmental problems Appreciate mathematics in the natural and modern world |
Q/A on natural and technological patterns using examples
Discussions on biological sequences and digital applications Solving nature and technology-based problems Demonstrations using natural pattern examples Explaining mathematical beauty using real phenomena |
Chalk and blackboard, natural and technology examples, exercise books
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 207-219
|
|
| 5 | 1 |
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 | 2 |
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
|
|
| 5 | 3 |
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
|
|
| 5 | 4 |
Vectors (II)
|
Collinearity
Advanced collinearity applications Proportional division of a line |
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 Chalk and blackboard, internal division models, exercise books |
KLB Mathematics Book Three Pg 232-234
|
|
| 5 | 5 |
Vectors (II)
|
External division of a line
Combined internal and external division |
By the end of the
lesson, the learner
should be able to:
Divide a line externally in the given ratio Apply the external division formula Distinguish between internal and external division Solve external division problems accurately |
Q/A on external division using systematic formula application
Discussions on external point calculation using vector methods Solving external division problems using careful approaches Demonstrations using external point construction examples Explaining external division using extended line concepts |
Chalk and blackboard, external division models, exercise books
Chalk and blackboard, combined division models, exercise books |
KLB Mathematics Book Three Pg 238-239
|
|
| 5 | 6 |
Vectors (II)
|
Ratio theorem
Advanced ratio theorem applications Mid-point |
By the end of the
lesson, the learner
should be able to:
Express position vectors Apply the ratio theorem to geometric problems Use ratio theorem in complex calculations Find position vectors using ratio relationships |
Q/A on ratio theorem application using systematic methods
Discussions on position vector calculation using ratio methods Solving ratio theorem problems using organized approaches Demonstrations using ratio-based position finding Explaining theorem applications using logical reasoning |
Chalk and blackboard, ratio theorem aids, exercise books
Chalk and blackboard, advanced ratio models, exercise books Chalk and blackboard, midpoint demonstration aids, exercise books |
KLB Mathematics Book Three Pg 240-242
|
|
| 5 | 7 |
Vectors (II)
|
Ratio theorem and midpoint integration
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 midpoint and ratio concepts together Solve complex ratio and midpoint problems Integrate division and midpoint methods |
Q/A on integrated problem-solving using combined methods
Discussions on complex scenario analysis using systematic approaches Solving challenging problems using integrated techniques Demonstrations using comprehensive geometric examples Explaining integration using logical problem-solving |
Chalk and blackboard, complex problem materials, exercise books
Chalk and blackboard, advanced geometric aids, exercise books Chalk and blackboard, parallelogram models, exercise books |
KLB Mathematics Book Three Pg 244-245
|
|
| 6 | 1 |
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
|
|
| 6 | 2 |
Binomial Expansion
|
Binomial expansions up to power four
Binomial expansions up to power four (continued) Pascal's triangle |
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 Chalk and blackboard, triangular patterns drawn/cut from paper, exercise books |
KLB Mathematics Book Three Pg 256
|
|
| 6 | 3 |
Binomial Expansion
|
Pascal's triangle applications
Pascal's triangle (continued) |
By the end of the
lesson, the learner
should be able to:
Use Pascal's triangle Apply Pascal's triangle to binomial expansions efficiently Use triangle coefficients for various powers Solve expansion problems using triangle methods |
Q/A on triangle application using coefficient identification
Discussions on efficient expansion using triangle methods Solving expansion problems using Pascal's triangle Demonstrations using triangle-guided calculations Explaining efficiency benefits using comparative methods |
Chalk and blackboard, Pascal's triangle reference charts, exercise books
Chalk and blackboard, advanced triangle patterns, exercise books |
KLB Mathematics Book Three Pg 257-258
|
|
| 6 | 4 |
Binomial Expansion
|
Pascal's triangle advanced
Applications to numerical cases Applications to numerical cases (continued) |
By the end of the
lesson, the learner
should be able to:
Use Pascal's triangle Apply general binomial theorem concepts Understand combination notation in expansions Use general term formula applications |
Q/A on general formula understanding using pattern analysis
Discussions on combination notation using counting principles Solving general term problems using formula application Demonstrations using systematic formula usage Explaining general principles using algebraic reasoning |
Chalk and blackboard, combination calculation aids, exercise books
Chalk and blackboard, simple calculation aids, exercise books Chalk and blackboard, advanced calculation examples, exercise books |
KLB Mathematics Book Three Pg 258-259
|
|
| 6 | 5 |
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
|
|
| 6 | 6 |
Probability
|
Experimental Probability applications
Range of Probability Measure Probability Space |
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
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 262-264
|
|
| 6 | 7 |
Probability
|
Theoretical Probability
Theoretical Probability advanced Theoretical Probability applications |
By the end of the
lesson, the learner
should be able to:
Calculate the probability space for the theoretical probability Apply 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 Chalk and blackboard, local game examples, practical scenario materials, exercise books |
KLB Mathematics Book Three Pg 266-268
|
|
| 7 | 1 |
Probability
|
Combined Events
Combined Events OR probability |
By the end of the
lesson, the learner
should be able to:
Find the probability of a combined events Understand compound events and combinations Distinguish between different event types Apply basic combination rules |
Q/A on event combination using practical examples
Discussions on exclusive and inclusive event identification Solving basic combined event problems using visual methods Demonstrations using card drawing and dice rolling combinations Explaining combination principles using Venn diagrams |
Chalk and blackboard, playing cards, multiple dice, Venn diagram drawings, exercise books
Chalk and blackboard, Venn diagram materials, card examples, exercise books |
KLB Mathematics Book Three Pg 272-273
|
|
| 7 | 2 |
Probability
|
Independent Events
Independent Events advanced Independent Events applications |
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
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 274-275
|
|
| 7 | 3 |
Probability
|
Tree Diagrams
Tree Diagrams advanced |
By the end of the
lesson, the learner
should be able to:
Draw tree diagrams to show the probability space Construct tree diagrams systematically Represent sequential events using trees Apply tree diagram methods |
Q/A on tree construction using step-by-step methods
Discussions on sequential event representation Solving basic tree diagram problems using systematic drawing Demonstrations using branching examples and visual organization Explaining tree structure using logical branching principles |
Chalk and blackboard, tree diagram templates, branching materials, exercise books
Chalk and blackboard, complex tree examples, detailed calculation aids, exercise books |
KLB Mathematics Book Three Pg 282
|
|
| 7 | 4 |
Compound Proportion and Rates of Work
|
Compound Proportions
Compound Proportions applications Proportional Parts |
By the end of the
lesson, the learner
should be able to:
Find the compound proportions Understand compound proportion relationships Apply compound proportion methods systematically Solve problems involving multiple variables |
Q/A on compound relationships using practical examples
Discussions on multiple variable situations using local scenarios Solving compound proportion problems using systematic methods Demonstrations using business and trade examples Explaining compound proportion logic using step-by-step reasoning |
Chalk and blackboard, local business examples, calculators if available, exercise books
Chalk and blackboard, construction/farming examples, exercise books Chalk and blackboard, sharing demonstration materials, exercise books |
KLB Mathematics Book Three Pg 288-290
|
|
| 7 | 5 |
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
|
|
| 7 | 6 |
Compound Proportion and Rates of Work
Graphical Methods Graphical Methods |
Rates of Work and Mixtures
Tables of given relations Graphs 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 Chalk and blackboard, graph paper or grids, rulers, exercise books |
KLB Mathematics Book Three Pg 295-296
|
|
| 7 | 7 |
Graphical Methods
|
Tables and graphs integration
Introduction to cubic equations Graphical solution of cubic equations |
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
Chalk and blackboard, cubic function examples, exercise books Chalk and blackboard, graph paper, cubic equation examples, exercise books |
KLB Mathematics Book Three Pg 299-300
|
|
| 8 | 1 |
Graphical Methods
|
Advanced cubic solutions
Introduction to rates of change |
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
Chalk and blackboard, rate calculation examples, exercise books |
KLB Mathematics Book Three Pg 302-304
|
|
| 8 | 2 |
Graphical Methods
|
Average rates of change
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 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 Chalk and blackboard, tangent line examples, exercise books |
KLB Mathematics Book Three Pg 304-306
|
|
| 8 | 3 |
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
|
|
| 8-9 |
END OF TERM EXAM, MARKING AND CLOSING FOR DECEMBER HOLIDAY |
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| 9 | 6 |
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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