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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 2 | 1 |
Circles: Chords and Tangents
|
Length of an arc
|
By the end of the
lesson, the learner
should be able to:
Calculate the length of an arc Apply arc length formula Understand arc-radius relationships |
Q/A on circle properties and terminology
Discussions on arc measurement concepts Solving basic arc length problems Demonstrations of formula application Explaining arc-angle relationships |
Geometrical set, calculators
|
KLB Mathematics Book Three Pg 124-125
|
|
| 2 | 2 |
Circles: Chords and Tangents
|
Chords
|
By the end of the
lesson, the learner
should be able to:
Calculate the length of a chord Apply chord properties and theorems Understand chord-radius relationships |
Q/A on chord definition and properties
Discussions on chord calculation methods Solving basic chord problems Demonstrations of geometric constructions Explaining chord theorems |
Geometrical set, calculators
|
KLB Mathematics Book Three Pg 126-128
|
|
| 2 | 3 |
Circles: Chords and Tangents
|
Parallel chords
Equal chords |
By the end of the
lesson, the learner
should be able to:
Calculate the perpendicular bisector Find the value of parallel chords Apply parallel chord properties |
Q/A on parallel chord concepts
Discussions on perpendicular bisector properties Solving parallel chord problems Demonstrations of construction techniques Explaining geometric relationships |
Geometrical set, calculators
|
KLB Mathematics Book Three Pg 129-131
|
|
| 2 | 4 |
Circles: Chords and Tangents
|
Intersecting chords
|
By the end of the
lesson, the learner
should be able to:
Calculate the length of intersecting chords Apply intersecting chord theorem Understand chord intersection properties |
Q/A on chord intersection concepts
Discussions on intersection theorem Solving basic intersection problems Demonstrations of theorem application Explaining geometric proofs |
Geometrical set, calculators
|
KLB Mathematics Book Three Pg 132-135
|
|
| 2 | 5 |
Circles: Chords and Tangents
|
Intersecting chords
Chord properties |
By the end of the
lesson, the learner
should be able to:
Calculate the length of intersecting chords Solve complex intersection problems Apply advanced chord theorems |
Q/A on advanced intersection scenarios
Discussions on complex chord relationships Solving challenging intersection problems Demonstrations of advanced techniques Explaining sophisticated applications |
Geometrical set, calculators
|
KLB Mathematics Book Three Pg 135-139
|
|
| 2 | 6 |
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 | 7 |
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
|
|
| 3 | 1 |
Circles: Chords and Tangents
|
Tangent properties
|
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
|
|
| 3 | 2 |
Circles: Chords and Tangents
|
Tangents to two circles
|
By the end of the
lesson, the learner
should be able to:
Calculate the tangents of direct common tangents Find direct common tangent properties Apply two-circle tangent concepts |
Q/A on two-circle tangent concepts
Discussions on direct tangent properties Solving direct tangent problems Demonstrations of construction methods Explaining geometric relationships |
Geometrical set, calculators
|
KLB Mathematics Book Three Pg 148-149
|
|
| 3 | 3 |
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
|
|
| 3 | 4 |
Circles: Chords and Tangents
|
Contact of circles
Circle contact |
By the end of the
lesson, the learner
should be able to:
Calculate the radii of contact circles Understand external contact properties Compare internal and external contact |
Q/A on external contact concepts
Discussions on contact type differences Solving external contact problems Demonstrations of contact analysis Explaining contact applications |
Geometrical set, calculators
|
KLB Mathematics Book Three Pg 153-154
|
|
| 3 | 5 |
Circles: Chords and Tangents
|
Angle in alternate segment
|
By the end of the
lesson, the learner
should be able to:
Calculate the angles in alternate segments Apply alternate segment theorem Understand segment angle properties |
Q/A on alternate segment concepts
Discussions on segment angle relationships Solving basic segment problems Demonstrations of theorem application Explaining geometric proofs |
Geometrical set, calculators
|
KLB Mathematics Book Three Pg 157-160
|
|
| 3 | 6 |
Circles: Chords and Tangents
|
Angle in alternate segment
Circumscribed circle |
By the end of the
lesson, the learner
should be able to:
Calculate the angles in alternate segments Solve complex segment problems Apply advanced segment theorems |
Q/A on advanced segment applications
Discussions on complex angle relationships Solving challenging segment problems Demonstrations of sophisticated techniques Explaining advanced applications |
Geometrical set, calculators
|
KLB Mathematics Book Three Pg 160-161
|
|
| 3 | 7 |
Circles: Chords and Tangents
|
Escribed circles
|
By the end of the
lesson, the learner
should be able to:
Construct escribed circles Find escribed circle properties Apply escription concepts |
Q/A on escription concepts
Discussions on escribed circle construction Solving escription problems Demonstrations of construction methods Explaining escription applications |
Geometrical set, calculators
|
KLB Mathematics Book Three Pg 165-166
|
|
| 4 |
Mid-term exams |
|||||||
| 5 | 1 |
Circles: Chords and Tangents
|
Centroid
Orthocenter |
By the end of the
lesson, the learner
should be able to:
Construct centroid Find centroid properties Apply centroid concepts |
Q/A on centroid definition and properties
Discussions on centroid construction Solving centroid problems Demonstrations of construction techniques Explaining centroid applications |
Geometrical set, calculators
|
KLB Mathematics Book Three Pg 166
|
|
| 5 | 2 |
Circles: Chords and Tangents
Matrices |
Circle and triangle relationships
Introduction and real-life applications |
By the end of the
lesson, the learner
should be able to:
Solve comprehensive circle-triangle problems Integrate all circle and triangle concepts Apply advanced geometric relationships |
Q/A on comprehensive geometric understanding
Discussions on integrated relationships Solving complex geometric problems Demonstrations of advanced applications Explaining sophisticated geometric principles |
Geometrical set, calculators
Old newspapers with league tables, chalk and blackboard, exercise books |
KLB Mathematics Book Three Pg 164-167
|
|
| 5 | 3 |
Matrices
|
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:
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 |
KLB Mathematics Book Three Pg 169-170
|
|
| 5 | 4 |
Matrices
|
Subtraction of matrices
Combined addition and subtraction Scalar 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 |
KLB Mathematics Book Three Pg 170-171
|
|
| 5 | 5 |
Matrices
|
Introduction to matrix multiplication
Matrix multiplication (2×2 matrices) |
By the end of the
lesson, the learner
should be able to:
Understand matrix multiplication prerequisites Learn compatibility requirements for multiplication Apply row-by-column multiplication method Calculate simple matrix products |
Q/A on multiplication compatibility using dimensions
Discussions on row-column method using finger tracing Solving basic multiplication using dot product method Demonstrations using physical row-column matching Explaining order requirements using practical examples |
Chalk and blackboard, rulers for tracing, exercise books
Chalk and blackboard, exercise books, homemade grid templates |
KLB Mathematics Book Three Pg 174-176
|
|
| 5 | 6 |
Matrices
|
Matrix multiplication (larger matrices)
Properties of matrix multiplication |
By the end of the
lesson, the learner
should be able to:
Multiply matrices of various orders Apply multiplication to 3×3 and larger matrices Determine when multiplication is possible Calculate products efficiently |
Q/A on larger matrix multiplication using patterns
Discussions on efficiency techniques using shortcuts Solving advanced problems using systematic methods Demonstrations using organized calculation procedures Explaining general principles using examples |
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
|
|
| 5 | 7 |
Matrices
|
Real-world matrix multiplication applications
|
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
|
KLB Mathematics Book Three Pg 176-179
|
|
| 6 | 1 |
Matrices
|
Identity matrix
Determinant of 2×2 matrices |
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 |
KLB Mathematics Book Three Pg 182-183
|
|
| 6 | 2 |
Matrices
|
Inverse of 2×2 matrices - theory
|
By the end of the
lesson, the learner
should be able to:
Understand the concept of matrix inverse Identify conditions for matrix invertibility Apply the inverse formula for 2×2 matrices Understand singular matrices |
Q/A on inverse concepts using reciprocal analogy
Discussions on invertibility using determinant conditions Solving basic inverse problems using formula Demonstrations using step-by-step method Explaining singular matrices using zero determinant |
Chalk and blackboard, exercise books, fraction examples
|
KLB Mathematics Book Three Pg 183-185
|
|
| 6 | 3 |
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
|
|
| 6 | 4 |
Matrices
|
Solving 2×2 simultaneous equations using matrices
|
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
|
KLB Mathematics Book Three Pg 188-190
|
|
| 6 | 5 |
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
|
|
| 6 | 6 |
Matrices
|
Transpose of matrices
|
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
|
KLB Mathematics Book Three Pg 170-174
|
|
| 6 | 7 |
Matrices
|
Matrix equation solving
|
By the end of the
lesson, the learner
should be able to:
Solve matrix equations systematically Find unknown matrices in equations Apply inverse operations to solve equations Verify matrix equation solutions |
Q/A on equation solving using algebraic analogy
Discussions on unknown determination using systematic methods Solving matrix equations using step-by-step approach Demonstrations using organized solution procedures Explaining verification using checking methods |
Chalk and blackboard, exercise books, algebra reference examples
|
KLB Mathematics Book Three Pg 183-190
|
|
| 7 | 1 |
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
|
|
| 7 | 2 |
Formulae and Variations
|
Subject of a formula - intermediate 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
|
KLB Mathematics Book Three Pg 191-193
|
|
| 7 | 3 |
Formulae and Variations
|
Subject of a formula - advanced cases
Applications of formula manipulation |
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 |
KLB Mathematics Book Three Pg 191-193
|
|
| 7 | 4 |
Formulae and Variations
|
Introduction to variation
|
By the end of the
lesson, the learner
should be able to:
Understand the concept of variation Distinguish between variables and constants Recognize variation in everyday situations Identify different types of variation |
Q/A on variable relationships using daily examples
Discussions on changing quantities in nature and commerce Analyzing variation patterns using local market prices Demonstrations using speed-time relationships Explaining variation types using practical examples |
Chalk and blackboard, local price lists from markets, exercise books
|
KLB Mathematics Book Three Pg 194-196
|
|
| 7 | 5 |
Formulae and Variations
Probability |
Direct variation - introduction
Introduction |
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, coins, dice made from cardboard, exercise books |
KLB Mathematics Book Three Pg 194-196
|
|
| 7 | 6 |
Probability
|
Experimental Probability
|
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
|
KLB Mathematics Book Three Pg 262-264
|
|
| 7 | 7 |
Probability
|
Experimental Probability applications
Range of Probability Measure |
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 |
KLB Mathematics Book Three Pg 262-264
|
|
| 8 | 1 |
Probability
|
Probability Space
|
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
|
KLB Mathematics Book Three Pg 266-267
|
|
| 8 | 2 |
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
|
|
| 8 | 3 |
Probability
|
Theoretical Probability applications
|
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
|
KLB Mathematics Book Three Pg 268-270
|
|
| 8 | 4 |
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
|
|
| 8 | 5 |
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
|
|
| 8 | 6 |
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
|
|
| 8 | 7 |
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
|
|
| 9 | 1 |
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
|
|
| 9 | 2 |
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
|
|
| 9 | 3 |
Compound Proportion and Rates of Work
|
Proportional Parts
Proportional Parts applications |
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
Chalk and blackboard, business partnership examples, exercise books |
KLB Mathematics Book Three Pg 291-293
|
|
| 9 | 4 |
Compound Proportion and Rates of Work
|
Rates of Work
|
By the end of the
lesson, the learner
should be able to:
Calculate the rate of work Understand work rate relationships Apply time-work-efficiency concepts Solve basic rate of work problems |
Q/A on work rate calculation using practical examples
Discussions on efficiency and time relationships using work scenarios Solving basic rate of work problems using systematic methods Demonstrations using construction and labor examples Explaining work rate concepts using practical work situations |
Chalk and blackboard, work scenario examples, exercise books
|
KLB Mathematics Book Three Pg 294-295
|
|
| 9 | 5 |
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
|
|
| 9 | 6 |
Graphical Methods
|
Graphs of given relations
|
By the end of the
lesson, the learner
should be able to:
Draw graphs of given relations Plot points accurately on coordinate systems Connect points to show relationships Interpret graphs from given data |
Q/A on graph plotting using coordinate methods
Discussions on point plotting and curve drawing Solving graph construction problems using systematic plotting Demonstrations using coordinate systems and curve sketching Explaining graph interpretation using visual analysis |
Chalk and blackboard, graph paper or grids, rulers, exercise books
|
KLB Mathematics Book Three Pg 300
|
|
| 9 | 7 |
Graphical Methods
|
Tables and graphs integration
Introduction to 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 |
KLB Mathematics Book Three Pg 299-300
|
|
| 10 | 1 |
Graphical Methods
|
Graphical solution of cubic equations
|
By the end of the
lesson, the learner
should be able to:
Draw graphs of cubic equations Plot cubic curves accurately Use graphs to solve cubic equations Find roots using graphical methods |
Q/A on cubic curve plotting using systematic point plotting
Discussions on curve characteristics and root finding Solving cubic graphing problems using careful plotting Demonstrations using cubic curve construction Explaining root identification using graph analysis |
Chalk and blackboard, graph paper, cubic equation examples, exercise books
|
KLB Mathematics Book Three Pg 302-304
|
|
| 10 | 2 |
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
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| 10 | 3 |
Graphical Methods
|
Average rates of change
|
By the end of the
lesson, the learner
should be able to:
Calculate the average rates of change Apply average rate methods to various functions Use graphical methods for rate calculation Solve practical rate problems |
Q/A on average rate calculation using graphical methods
Discussions on rate applications using real-world scenarios Solving average rate problems using systematic approaches Demonstrations using graph-based rate calculation Explaining practical applications using meaningful contexts |
Chalk and blackboard, graph paper, rate examples, exercise books
|
KLB Mathematics Book Three Pg 304-306
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|
| 10 | 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
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|
| 10 | 5 |
Graphical Methods
|
Rate of change at an instant
|
By the end of the
lesson, the learner
should be able to:
Calculate the rate of change at an instant Apply instantaneous rate methods systematically Use graphical techniques for instant rates Solve practical instantaneous rate problems |
Q/A on instantaneous rate calculation using graphical methods
Discussions on tangent line slope interpretation Solving instantaneous rate problems using systematic approaches Demonstrations using detailed tangent constructions Explaining practical applications using real scenarios |
Chalk and blackboard, detailed graph examples, exercise books
|
KLB Mathematics Book Three Pg 310-311
|
|
| 10 | 6 |
Graphical Methods
|
Advanced instantaneous rates
Empirical graphs |
By the end of the
lesson, the learner
should be able to:
Calculate the rate of change at an instant Handle complex instantaneous rate scenarios Apply instant rates to advanced problems Integrate instantaneous concepts with applications |
Q/A on advanced instantaneous applications using complex examples
Discussions on sophisticated rate problems using detailed analysis Solving challenging instantaneous problems using systematic methods Demonstrations using comprehensive rate constructions Explaining advanced applications using detailed reasoning |
Chalk and blackboard, advanced rate examples, exercise books
Chalk and blackboard, experimental data examples, exercise books |
KLB Mathematics Book Three Pg 310-315
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|
| 10 | 7 |
Graphical Methods
|
Advanced empirical methods
|
By the end of the
lesson, the learner
should be able to:
Draw the empirical graphs Apply empirical methods to complex data Handle large datasets and trends Interpret empirical results meaningfully |
Q/A on advanced empirical techniques using complex datasets
Discussions on trend analysis using systematic methods Solving challenging empirical problems using organized approaches Demonstrations using comprehensive data analysis Explaining advanced interpretations using detailed reasoning |
Chalk and blackboard, complex data examples, exercise books
|
KLB Mathematics Book Three Pg 315-321
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