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SCHEME OF WORK
Mathematics
Form 3 2026
TERM III
School


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WK LSN TOPIC SUB-TOPIC OBJECTIVES T/L ACTIVITIES T/L AIDS REFERENCE REMARKS
1 6
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
In groups, learners are guided to:
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
1 7
Vectors (II)
Combined internal and external division
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
In groups, learners are guided to:
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
KLB Mathematics Book Three Pg 239
2 1
Vectors (II)
Ratio theorem
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
In groups, learners are guided to:
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
KLB Mathematics Book Three Pg 240-242
2 2
Vectors (II)
Advanced ratio theorem applications
Mid-point
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
In groups, learners are guided to:
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
KLB Mathematics Book Three Pg 242
2 3
Vectors (II)
Ratio theorem and midpoint integration
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
In groups, learners are guided to:
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
KLB Mathematics Book Three Pg 244-245
2 4
Vectors (II)
Advanced ratio theorem applications
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
In groups, learners are guided to:
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
KLB Mathematics Book Three Pg 246-248
2 5
Vectors (II)
Applications of vectors in geometry
Rectangle diagonal applications
By the end of the lesson, the learner should be able to:
Use vectors to show the diagonals of a parallelogram
Apply vector methods to geometric proofs
Demonstrate parallelogram properties using vectors
Solve geometric problems using vector techniques
In groups, learners are guided to:
Q/A on geometric proof using vector methods
Discussions on parallelogram properties using vector analysis
Solving geometric problems using systematic vector techniques
Demonstrations using vector-based geometric constructions
Explaining geometric relationships using vector reasoning
Chalk and blackboard, parallelogram models, exercise books
Chalk and blackboard, rectangle models, exercise books
KLB Mathematics Book Three Pg 248-249
2

Opener Exam

3 1
Vectors (II)
Advanced geometric applications
By the end of the lesson, the learner should be able to:
Use vectors to show geometric properties
Apply vectors to complex geometric proofs
Solve challenging geometric problems using vectors
Integrate all vector concepts in geometric contexts
In groups, learners are guided to:
Q/A on comprehensive geometric applications using vector methods
Discussions on advanced proof techniques using vectors
Solving complex geometric problems using integrated approaches
Demonstrations using sophisticated geometric constructions
Explaining advanced applications using comprehensive reasoning
Chalk and blackboard, advanced geometric models, exercise books
KLB Mathematics Book Three Pg 248-250
3 2
Binomial Expansion
Binomial expansions up to power four
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
In groups, learners are guided to:
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
KLB Mathematics Book Three Pg 256
3 3
Binomial Expansion
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
Handle increasingly complex coefficient patterns
Apply systematic expansion techniques efficiently
Verify expansions using substitution methods
In groups, learners are guided to:
Q/A on power expansion using multiplication techniques
Discussions on coefficient identification using pattern analysis
Solving expansion problems using systematic approaches
Demonstrations using geometric representations
Explaining verification methods using numerical substitution
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
3 4
Binomial Expansion
Pascal's triangle applications
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
In groups, learners are guided to:
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
KLB Mathematics Book Three Pg 257-258
3 5
Binomial Expansion
Pascal's triangle (continued)
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
In groups, learners are guided to:
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
KLB Mathematics Book Three Pg 258-259
3 6
Binomial Expansion
Pascal's triangle advanced
Applications to numerical cases
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
In groups, learners are guided to:
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
KLB Mathematics Book Three Pg 258-259
3 7
Binomial Expansion
Applications to numerical cases (continued)
By the end of the lesson, the learner should be able to:
Use binomial expansion to solve numerical problems
Apply binomial methods to complex calculations
Handle decimal approximations using expansions
Solve practical numerical problems
In groups, learners are guided to:
Q/A on advanced numerical applications using complex scenarios
Discussions on decimal approximation using expansion techniques
Solving challenging numerical problems using systematic methods
Demonstrations using detailed calculation procedures
Explaining practical relevance using real-world examples
Chalk and blackboard, advanced calculation examples, exercise books
KLB Mathematics Book Three Pg 259-260
4 1
Probability
Introduction
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
In groups, learners are guided to:
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
KLB Mathematics Book Three Pg 262-264
4 2
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
In groups, learners are guided to:
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
4 3
Probability
Range of Probability Measure
By the end of the lesson, the learner should be able to:
Calculate the range of probability measure
Express probabilities on scale from 0 to 1
Convert between fractions, decimals, and percentages
Interpret probability values correctly
In groups, learners are guided to:
Q/A on probability scale using number line representations
Discussions on probability conversion between forms
Solving probability scale problems using systematic methods
Demonstrations using probability line and scale examples
Explaining scale interpretation using practical scenarios
Chalk and blackboard, number line drawings, probability scale charts, exercise books
KLB Mathematics Book Three Pg 265-266
4 4
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
In groups, learners are guided to:
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
4 5
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
In groups, learners are guided to:
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
4 6
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
In groups, learners are guided to:
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
4 7
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
In groups, learners are guided to:
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
5 1
Probability
Independent Events
By the end of the lesson, the learner should be able to:
Find the probability of independent events
Apply multiplication rule for independent events
Calculate "A and B" probabilities
Understand independence concepts
In groups, learners are guided to:
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
5 2
Probability
Independent Events advanced
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
In groups, learners are guided to:
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
KLB Mathematics Book Three Pg 276-278
5 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
In groups, learners are guided to:
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
5 4
Probability
Tree Diagrams advanced
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
In groups, learners are guided to:
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
KLB Mathematics Book Three Pg 283-285
5 5
Compound Proportion and Rates of Work
Compound Proportions
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
In groups, learners are guided to:
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
KLB Mathematics Book Three Pg 288-290
5 6
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
In groups, learners are guided to:
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
5 7
Compound Proportion and Rates of Work
Proportional Parts applications
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
In groups, learners are guided to:
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
KLB Mathematics Book Three Pg 291-293
6

Mid Term Exam

6 5
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
In groups, learners are guided to:
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
6 6
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
In groups, learners are guided to:
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
6 7
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
In groups, learners are guided to:
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
7 1
Graphical Methods
Tables and graphs integration
By the end of the lesson, the learner should be able to:
Draw tables and graphs of given relations
Integrate table construction with graph plotting
Analyze relationships using both methods
Compare tabular and graphical representations
In groups, learners are guided to:
Q/A on integrated table-graph construction using comprehensive methods
Discussions on data flow from tables to graphs
Solving integrated problems using systematic approaches
Demonstrations using complete data analysis procedures
Explaining relationship analysis using combined methods
Chalk and blackboard, graph paper, data examples, exercise books
KLB Mathematics Book Three Pg 299-300
7 2
Graphical Methods
Introduction to cubic equations
Graphical solution of cubic equations
By the end of the lesson, the learner should be able to:
Draw tables of cubic functions
Understand cubic equation characteristics
Prepare cubic function data systematically
Recognize cubic curve patterns
In groups, learners are guided to:
Q/A on cubic function evaluation using systematic calculation
Discussions on cubic equation properties using mathematical analysis
Solving cubic table preparation using organized methods
Demonstrations using cubic function examples
Explaining cubic characteristics using pattern recognition
Chalk and blackboard, cubic function examples, exercise books
Chalk and blackboard, graph paper, cubic equation examples, exercise books
KLB Mathematics Book Three Pg 301
7 3
Graphical Methods
Advanced cubic solutions
By the end of the lesson, the learner should be able to:
Draw graphs of cubic equations
Apply graphical methods to complex cubic problems
Handle multiple root scenarios
Verify solutions using graphical analysis
In groups, learners are guided to:
Q/A on advanced cubic graphing using complex examples
Discussions on multiple root identification using graph analysis
Solving challenging cubic problems using systematic methods
Demonstrations using detailed cubic constructions
Explaining verification methods using graphical checking
Chalk and blackboard, advanced graph examples, exercise books
KLB Mathematics Book Three Pg 302-304
7 4
Graphical Methods
Introduction to rates of change
By the end of the lesson, the learner should be able to:
Calculate the average rates of change
Understand rate of change concepts
Apply rate calculations to practical problems
Interpret rate meanings in context
In groups, learners are guided to:
Q/A on rate calculation using slope methods
Discussions on rate interpretation using practical examples
Solving basic rate problems using systematic calculation
Demonstrations using speed-time and distance examples
Explaining rate concepts using practical analogies
Chalk and blackboard, rate calculation examples, exercise books
KLB Mathematics Book Three Pg 304-306
7 5
Graphical Methods
Average rates of change
Advanced average rates
By the end of the lesson, the learner should be able to:
Calculate the average rates of change
Apply average rate methods to various functions
Use graphical methods for rate calculation
Solve practical rate problems
In groups, learners are guided to:
Q/A on average rate calculation using graphical methods
Discussions on rate applications using real-world scenarios
Solving average rate problems using systematic approaches
Demonstrations using graph-based rate calculation
Explaining practical applications using meaningful contexts
Chalk and blackboard, graph paper, rate examples, exercise books
Chalk and blackboard, advanced rate scenarios, exercise books
KLB Mathematics Book Three Pg 304-306
7 6
Graphical Methods
Introduction to instantaneous rates
By the end of the lesson, the learner should be able to:
Calculate the rate of change at an instant
Understand instantaneous rate concepts
Distinguish between average and instantaneous rates
Apply instant rate methods
In groups, learners are guided to:
Q/A on instantaneous rate concepts using limiting methods
Discussions on instant vs average rate differences
Solving basic instantaneous rate problems
Demonstrations using tangent line concepts
Explaining instantaneous rate using practical examples
Chalk and blackboard, tangent line examples, exercise books
KLB Mathematics Book Three Pg 310-311
7 7
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
In groups, learners are guided to:
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
8

End Term Exam

9 1
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
In groups, learners are guided to:
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
9 2
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
In groups, learners are guided to:
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
9

Revision and Closing


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