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SCHEME OF WORK
Mathematics
Form 3 2025
TERM III
School


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WK LSN TOPIC SUB-TOPIC OBJECTIVES T/L ACTIVITIES T/L AIDS REFERENCE REMARKS
1

Revision of term 2 Exam

2 1
Sequences and Series
Introduction to sequences and finding terms
General term of sequences and applications
By the end of the lesson, the learner should be able to:
Define sequences and identify sequence patterns
Find next terms using established patterns
Recognize different types of sequence patterns
Apply pattern recognition systematically
Q/A on number patterns from daily life
Discussions on counting patterns using classroom arrangements
Solving pattern completion problems step-by-step
Demonstrations using bead or stone arrangements
Explaining sequence terminology and pattern continuation
Chalk and blackboard, stones or beans for patterns, exercise books
Chalk and blackboard, numbered cards made from paper, exercise books
KLB Mathematics Book Three Pg 207-208
2 2
Sequences and Series
Arithmetic sequences and nth term
Arithmetic sequence applications
By the end of the lesson, the learner should be able to:
Define arithmetic sequences and common differences
Calculate common differences correctly
Derive and apply the nth term formula
Solve problems using arithmetic sequence concepts
Q/A on arithmetic patterns using step-by-step examples
Discussions on constant difference patterns and formula derivation
Solving arithmetic sequence problems systematically
Demonstrations using equal-step progressions
Explaining formula structure using algebraic reasoning
Chalk and blackboard, measuring tape or string, exercise books
Chalk and blackboard, local employment/savings examples, exercise books
KLB Mathematics Book Three Pg 209-210
2 3
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
2

OPENER EXAM

3 1
Sequences and Series
Arithmetic series and sum formula
Geometric series and applications
By the end of the lesson, the learner should be able to:
Define arithmetic series as sums of sequences
Derive the sum formula for arithmetic series
Apply the arithmetic series formula systematically
Calculate sums efficiently using the formula
Q/A on series concepts using summation examples
Discussions on sequence-to-series relationships and formula derivation
Solving arithmetic series problems using step-by-step approach
Demonstrations using cumulative sum examples
Explaining derivation logic using algebraic reasoning
Chalk and blackboard, counting materials for summation, exercise books
Chalk and blackboard, convergence demonstration materials, exercise books
KLB Mathematics Book Three Pg 214-215
3 2
Sequences and Series
Mixed problems and advanced applications
Sequences in nature and technology
By the end of the lesson, the learner should be able to:
Combine arithmetic and geometric concepts
Solve complex mixed sequence and series problems
Apply appropriate methods for different types
Model real-world situations using mathematical sequences
Q/A on problem type identification using systematic analysis
Discussions on method selection and comprehensive applications
Solving mixed problems using appropriate techniques
Demonstrations using interdisciplinary scenarios
Explaining method choice using logical reasoning
Chalk and blackboard, mixed problem collections, exercise books
Chalk and blackboard, natural and technology examples, exercise books
KLB Mathematics Book Three Pg 207-219
3 3
Vectors (II)
Coordinates in two dimensions
Coordinates in three dimensions
By the end of the lesson, the learner should be able to:
Identify the coordinates of a point in two dimensions
Plot points on coordinate planes accurately
Understand position representation using coordinates
Apply coordinate concepts to practical situations
Q/A on coordinate identification using grid references
Discussions on map reading and location finding
Solving coordinate plotting problems using systematic methods
Demonstrations using classroom grid systems and floor patterns
Explaining coordinate applications using local maps and directions
Chalk and blackboard, squared paper or grid drawn on ground, exercise books
Chalk and blackboard, 3D models made from sticks and clay, exercise books
KLB Mathematics Book Three Pg 221-222
3 4
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
3 5
Vectors (II)
Column vectors in terms of unit vectors i, j, k
Vector operations using unit vectors
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
KLB Mathematics Book Three Pg 226-228
3 6
Vectors (II)
Magnitude of a vector in three dimensions
Magnitude applications and unit vectors
By the end of the lesson, the learner should be able to:
Calculate the magnitude of a vector in three dimensions
Apply the 3D magnitude formula systematically
Find vector lengths in spatial contexts
Solve magnitude problems accurately
Q/A on 3D magnitude using extended Pythagorean methods
Discussions on spatial distance calculation using 3D techniques
Solving 3D magnitude problems using systematic calculation
Demonstrations using 3D distance examples
Explaining 3D magnitude using practical spatial examples
Chalk and blackboard, 3D measurement aids, exercise books
Chalk and blackboard, direction finding aids, exercise books
KLB Mathematics Book Three Pg 229-230
3 7
Vectors (II)
Parallel vectors
Collinearity
By the end of the lesson, the learner should be able to:
Identify parallel vectors
Determine when vectors are parallel
Apply parallel vector properties
Use scalar multiples in parallel relationships
Q/A on parallel identification using scalar multiple methods
Discussions on parallel relationships using geometric examples
Solving parallel vector problems using systematic testing
Demonstrations using parallel line and direction examples
Explaining parallel concepts using geometric reasoning
Chalk and blackboard, parallel line demonstrations, exercise books
Chalk and blackboard, straight-line demonstrations, exercise books
KLB Mathematics Book Three Pg 231-232
4 1
Vectors (II)
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 collinearity to complex geometric problems
Integrate parallel and collinearity concepts
Solve advanced alignment problems
Q/A on advanced collinearity using complex scenarios
Discussions on geometric proof using vector methods
Solving challenging collinearity problems
Demonstrations using complex geometric constructions
Explaining advanced applications using comprehensive examples
Chalk and blackboard, complex geometric aids, exercise books
Chalk and blackboard, internal division models, exercise books
KLB Mathematics Book Three Pg 232-234
4 2
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
4 3
Vectors (II)
Ratio theorem
Advanced ratio theorem applications
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
KLB Mathematics Book Three Pg 240-242
4 4
Vectors (II)
Mid-point
Ratio theorem and midpoint integration
By the end of the lesson, the learner should be able to:
Find the mid-points of the given vectors
Apply midpoint formulas in vector contexts
Use midpoint concepts in geometric problems
Calculate midpoints systematically
Q/A on midpoint calculation using vector averaging methods
Discussions on midpoint applications using geometric examples
Solving midpoint problems using systematic approaches
Demonstrations using midpoint construction and calculation
Explaining midpoint concepts using practical examples
Chalk and blackboard, midpoint demonstration aids, exercise books
Chalk and blackboard, complex problem materials, exercise books
KLB Mathematics Book Three Pg 243
4 5
Vectors (II)
Advanced ratio theorem applications
Applications of vectors in geometry
By the end of the lesson, the learner should be able to:
Use ratio theorem to find the given vectors
Apply ratio theorem to challenging problems
Handle complex geometric applications
Demonstrate comprehensive ratio mastery
Q/A on comprehensive ratio understanding using advanced problems
Discussions on complex ratio relationships
Solving advanced ratio problems using systematic methods
Demonstrations using sophisticated geometric constructions
Explaining mastery using challenging applications
Chalk and blackboard, advanced geometric aids, exercise books
Chalk and blackboard, parallelogram models, exercise books
KLB Mathematics Book Three Pg 246-248
4 6
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
4 7
Binomial Expansion
Binomial expansions up to power four
Binomial expansions up to power four (continued)
By the end of the lesson, the learner should be able to:
Expand binomial function up to power four
Apply systematic multiplication methods
Recognize coefficient patterns in expansions
Use multiplication to expand binomial expressions
Q/A on algebraic multiplication using familiar expressions
Discussions on systematic expansion using step-by-step methods
Solving basic binomial multiplication problems
Demonstrations using area models and rectangular arrangements
Explaining pattern recognition using organized layouts
Chalk and blackboard, rectangular cutouts from paper, exercise books
Chalk and blackboard, squared paper for geometric models, exercise books
KLB Mathematics Book Three Pg 256
5 1
Binomial Expansion
Pascal's triangle
Pascal's triangle applications
By the end of the lesson, the learner should be able to:
Use Pascal's triangle
Construct Pascal's triangle systematically
Apply triangle coefficients for binomial expansions
Recognize number patterns in the triangle
Q/A on triangle construction using addition patterns
Discussions on coefficient relationships using triangle analysis
Solving triangle construction and application problems
Demonstrations using visual triangle building
Explaining pattern connections using systematic observation
Chalk and blackboard, triangular patterns drawn/cut from paper, exercise books
Chalk and blackboard, Pascal's triangle reference charts, exercise books
KLB Mathematics Book Three Pg 256-257
5 2
Binomial Expansion
Pascal's triangle (continued)
Pascal's triangle advanced
By the end of the lesson, the learner should be able to:
Use Pascal's triangle
Apply triangle to complex expansion problems
Handle higher powers using Pascal's triangle
Integrate triangle concepts with algebraic expansion
Q/A on advanced triangle applications using complex examples
Discussions on higher power expansion using triangle methods
Solving challenging problems using Pascal's triangle
Demonstrations using detailed triangle constructions
Explaining integration using comprehensive examples
Chalk and blackboard, advanced triangle patterns, exercise books
Chalk and blackboard, combination calculation aids, exercise books
KLB Mathematics Book Three Pg 258-259
5 3
Binomial Expansion
Applications to numerical cases
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 expansions for numerical approximations
Calculate values using binomial methods
Understand practical applications of expansions
Q/A on numerical applications using approximation techniques
Discussions on calculation shortcuts using expansion methods
Solving numerical problems using binomial approaches
Demonstrations using practical calculation scenarios
Explaining approximation benefits using real examples
Chalk and blackboard, simple calculation aids, exercise books
Chalk and blackboard, advanced calculation examples, exercise books
KLB Mathematics Book Three Pg 259-260
5 4
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
5 5
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
5 6
Probability
Probability Space
Theoretical Probability
By the end of the lesson, the learner should be able to:
Calculate the probability space for the theoretical probability
Define sample space systematically
List all possible outcomes
Apply sample space concepts
Q/A on outcome listing using systematic enumeration
Discussions on complete outcome identification
Solving sample space problems using organized listing
Demonstrations using dice, cards, and spinner examples
Explaining probability calculation using outcome counting
Chalk and blackboard, playing cards (locally made), spinners from cardboard, exercise books
Chalk and blackboard, fair dice and coins, probability calculation aids, exercise books
KLB Mathematics Book Three Pg 266-267
5 7
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 theoretical probability to complex problems
Handle multiple outcome scenarios
Solve advanced theoretical problems
Q/A on advanced theoretical applications using complex scenarios
Discussions on multiple outcome analysis using systematic methods
Solving challenging theoretical problems using organized approaches
Demonstrations using complex probability setups
Explaining advanced theoretical concepts using detailed reasoning
Chalk and blackboard, complex probability materials, advanced calculation aids, exercise books
Chalk and blackboard, local game examples, practical scenario materials, exercise books
KLB Mathematics Book Three Pg 268-270
6 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
6 2
Probability
Independent Events
Independent Events advanced
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
KLB Mathematics Book Three Pg 274-275
6 3
Probability
Independent Events applications
Tree Diagrams
By the end of the lesson, the learner should be able to:
Find the probability of independent events
Apply independence to practical problems
Solve complex multi-event scenarios
Integrate independence with other concepts
Q/A on complex event analysis using systematic problem-solving
Discussions on rule selection and application strategies
Solving advanced combined problems using integrated approaches
Demonstrations using complex experimental scenarios
Explaining strategic problem-solving using logical analysis
Chalk and blackboard, complex experimental materials, advanced calculation aids, exercise books
Chalk and blackboard, tree diagram templates, branching materials, exercise books
KLB Mathematics Book Three Pg 278-280
6 4
Probability
Compound Proportion and Rates of Work
Tree Diagrams advanced
Compound Proportions
By the end of the lesson, the learner should be able to:
Use tree diagrams to find probability
Apply trees to multi-stage problems
Handle complex sequential events
Calculate final probabilities using trees
Q/A on complex tree application using multi-stage examples
Discussions on replacement scenario handling
Solving complex tree problems using systematic calculation
Demonstrations using detailed tree constructions
Explaining systematic probability calculation using tree methods
Chalk and blackboard, complex tree examples, detailed calculation aids, exercise books
Chalk and blackboard, local business examples, calculators if available, exercise books
KLB Mathematics Book Three Pg 283-285
6 5
Compound Proportion and Rates of Work
Compound Proportions applications
Proportional Parts
By the end of the lesson, the learner should be able to:
Find the compound proportions
Apply compound proportions to complex problems
Handle multi-step compound proportion scenarios
Solve real-world compound proportion problems
Q/A on advanced compound proportion using complex scenarios
Discussions on multi-variable relationships using practical contexts
Solving challenging compound problems using systematic approaches
Demonstrations using construction and farming examples
Explaining practical applications using community-based scenarios
Chalk and blackboard, construction/farming examples, exercise books
Chalk and blackboard, sharing demonstration materials, exercise books
KLB Mathematics Book Three Pg 290-291
6 6
Compound Proportion and Rates of Work
Proportional Parts applications
Rates of Work
By the end of the lesson, the learner should be able to:
Calculate the proportional parts
Apply proportional parts to complex sharing scenarios
Handle business partnership profit sharing
Solve advanced proportional distribution problems
Q/A on complex proportional sharing using business examples
Discussions on partnership profit distribution using practical scenarios
Solving advanced proportional problems using systematic methods
Demonstrations using business partnership and investment examples
Explaining practical applications using meaningful contexts
Chalk and blackboard, business partnership examples, exercise books
Chalk and blackboard, work scenario examples, exercise books
KLB Mathematics Book Three Pg 291-293
6 7
Compound Proportion and Rates of Work
Graphical Methods
Rates of Work and Mixtures
Tables of given relations
By the end of the lesson, the learner should be able to:
Calculate the rate of work
Apply work rates to complex scenarios
Handle mixture problems and combinations
Solve advanced rate and mixture problems
Q/A on advanced work rates using complex scenarios
Discussions on mixture problems using practical examples
Solving challenging rate and mixture problems using systematic approaches
Demonstrations using cooking, construction, and manufacturing examples
Explaining mixture concepts using practical applications
Chalk and blackboard, mixture demonstration materials, exercise books
Chalk and blackboard, ruled paper for tables, exercise books
KLB Mathematics Book Three Pg 295-296
7 1
Graphical Methods
Graphs of given relations
Tables and graphs integration
By the end of the lesson, the learner should be able to:
Draw graphs of given relations
Plot points accurately on coordinate systems
Connect points to show relationships
Interpret graphs from given data
Q/A on graph plotting using coordinate methods
Discussions on point plotting and curve drawing
Solving graph construction problems using systematic plotting
Demonstrations using coordinate systems and curve sketching
Explaining graph interpretation using visual analysis
Chalk and blackboard, graph paper or grids, rulers, exercise books
Chalk and blackboard, graph paper, data examples, exercise books
KLB Mathematics Book Three Pg 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
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
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
7 4
Graphical Methods
Average rates of change
Advanced average rates
By the end of the lesson, the learner should be able to:
Calculate the average rates of change
Apply average rate methods to various functions
Use graphical methods for rate calculation
Solve practical rate problems
Q/A on average rate calculation using graphical methods
Discussions on rate applications using real-world scenarios
Solving average rate problems using systematic approaches
Demonstrations using graph-based rate calculation
Explaining practical applications using meaningful contexts
Chalk and blackboard, graph paper, rate examples, exercise books
Chalk and blackboard, advanced rate scenarios, exercise books
KLB Mathematics Book Three Pg 304-306
7 5
Graphical Methods
Introduction to instantaneous rates
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
Understand instantaneous rate concepts
Distinguish between average and instantaneous rates
Apply instant rate methods
Q/A on instantaneous rate concepts using limiting methods
Discussions on instant vs average rate differences
Solving basic instantaneous rate problems
Demonstrations using tangent line concepts
Explaining instantaneous rate using practical examples
Chalk and blackboard, tangent line examples, exercise books
Chalk and blackboard, detailed graph examples, exercise books
KLB Mathematics Book Three Pg 310-311
7 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
7 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
8-9

END OF TERM 3 EXAM


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