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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 2 | 2 |
Formulae and Variations
|
Introduction to formulae
|
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
|
KLB Mathematics Book Three Pg 191-193
|
|
| 2 | 3-4 |
Formulae and Variations
|
Subject of a formula - basic cases
Subject of a formula - intermediate cases Subject of a formula - advanced cases Applications of formula manipulation |
By the end of the
lesson, the learner
should be able to:
Make simple variables the subject of formulae Apply inverse operations to rearrange formulae Understand the concept of subject change Solve basic subject transformation problems Make variables subject in complex formulae Handle square roots and quadratic expressions Apply advanced algebraic manipulation Solve challenging subject transformation problems |
Q/A on inverse operations using number examples
Discussions on formula rearrangement using balance method Solving basic subject change problems using step-by-step approach Demonstrations using see-saw balance analogy Explaining inverse operations using practical examples 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, simple balance (stones and stick), exercise books
Chalk and blackboard, fraction strips made from paper, exercise books Chalk and blackboard, squared paper patterns, exercise books Chalk and blackboard, local measurement tools, exercise books |
KLB Mathematics Book Three Pg 191-193
|
|
| 2 | 5 |
Formulae and Variations
|
Introduction to variation
Direct variation - introduction |
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
Chalk and blackboard, beans or stones for counting, exercise books |
KLB Mathematics Book Three Pg 194-196
|
|
| 2 | 6 |
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 | 7 |
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
|
|
| 3 |
Opener Exam |
|||||||
| 4 | 1 |
Sequences and Series
|
Geometric sequences and nth term
Geometric sequence applications |
By the end of the
lesson, the learner
should be able to:
Define geometric sequences and common ratios Calculate common ratios correctly Derive and apply the geometric nth term formula Understand exponential growth patterns |
Q/A on geometric patterns using multiplication examples
Discussions on ratio-based progressions and formula derivation Solving geometric sequence problems systematically Demonstrations using doubling and scaling examples Explaining exponential structure using practical examples |
Chalk and blackboard, objects for doubling demonstrations, exercise books
Chalk and blackboard, population/growth data examples, exercise books |
KLB Mathematics Book Three Pg 211-213
|
|
| 4 | 2 |
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
|
|
| 4 | 3-4 |
Sequences and Series
Vectors (II) |
Mixed problems and advanced applications
Sequences in nature and technology Coordinates in two dimensions Coordinates in three dimensions |
By the end of the
lesson, the learner
should be able to:
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 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 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 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, mixed problem collections, exercise books
Chalk and blackboard, natural and technology examples, exercise books Chalk and blackboard, squared paper or grid drawn on ground, exercise books Chalk and blackboard, 3D models made from sticks and clay, exercise books |
KLB Mathematics Book Three Pg 207-219
KLB Mathematics Book Three Pg 221-222 |
|
| 4 | 5 |
Vectors (II)
|
Column and position vectors in three dimensions
Position vectors and applications Column vectors in terms of unit vectors i, j, k |
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 Chalk and blackboard, direction indicators, unit vector reference charts, exercise books |
KLB Mathematics Book Three Pg 223-224
|
|
| 4 | 6 |
Vectors (II)
|
Vector operations using unit vectors
Magnitude of a vector in three dimensions |
By the end of the
lesson, the learner
should be able to:
Express vectors in terms of unit vectors Perform vector addition using unit vector notation Calculate vector subtraction with i, j, k components Apply scalar multiplication to unit vectors |
Q/A on vector operations using component-wise calculation
Discussions on systematic operation methods Solving vector operation problems using organized approaches Demonstrations using component separation and combination Explaining operation logic using algebraic reasoning |
Chalk and blackboard, component calculation aids, exercise books
Chalk and blackboard, 3D measurement aids, exercise books |
KLB Mathematics Book Three Pg 226-228
|
|
| 4 | 7 |
Vectors (II)
|
Magnitude applications and unit vectors
Parallel vectors |
By the end of the
lesson, the learner
should be able to:
Calculate the magnitude of a vector in three dimensions Find unit vectors from given vectors Apply magnitude concepts to practical problems Use magnitude in vector normalization |
Q/A on magnitude and unit vector relationships
Discussions on normalization and direction finding Solving magnitude and unit vector problems Demonstrations using direction and length separation Explaining practical applications using navigation examples |
Chalk and blackboard, direction finding aids, exercise books
Chalk and blackboard, parallel line demonstrations, exercise books |
KLB Mathematics Book Three Pg 229-230
|
|
| 5 | 1 |
Vectors (II)
|
Collinearity
Advanced collinearity applications |
By the end of the
lesson, the learner
should be able to:
Show that points are collinear Apply vector methods to prove collinearity Test for collinear points using vector techniques Solve collinearity problems systematically |
Q/A on collinearity testing using vector proportion methods
Discussions on point alignment using vector analysis Solving collinearity problems using systematic verification Demonstrations using straight-line point examples Explaining collinearity using geometric alignment concepts |
Chalk and blackboard, straight-line demonstrations, exercise books
Chalk and blackboard, complex geometric aids, exercise books |
KLB Mathematics Book Three Pg 232-234
|
|
| 5 | 2 |
Vectors (II)
|
Proportional division of a line
External division of a line |
By the end of the
lesson, the learner
should be able to:
Divide a line internally in the given ratio Apply the internal division formula Calculate division points using vector methods Understand proportional division concepts |
Q/A on internal division using systematic formula application
Discussions on ratio division using proportional methods Solving internal division problems using organized approaches Demonstrations using internal point construction examples Explaining internal division using geometric visualization |
Chalk and blackboard, internal division models, exercise books
Chalk and blackboard, external division models, exercise books |
KLB Mathematics Book Three Pg 237-238
|
|
| 5 | 3-4 |
Vectors (II)
|
Combined internal and external division
Ratio theorem Advanced ratio theorem applications Mid-point |
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 Find the position vector Apply ratio theorem to complex scenarios Solve multi-step ratio problems Use ratio theorem in geometric proofs |
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 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, combined division models, exercise books
Chalk and blackboard, ratio theorem aids, exercise books Chalk and blackboard, advanced ratio models, exercise books Chalk and blackboard, midpoint demonstration aids, exercise books |
KLB Mathematics Book Three Pg 239
KLB Mathematics Book Three Pg 242 |
|
| 5 | 5 |
Vectors (II)
|
Ratio theorem and midpoint integration
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 midpoint and ratio concepts together Solve complex ratio and midpoint problems Integrate division and midpoint methods |
Q/A on integrated problem-solving using combined methods
Discussions on complex scenario analysis using systematic approaches Solving challenging problems using integrated techniques Demonstrations using comprehensive geometric examples Explaining integration using logical problem-solving |
Chalk and blackboard, complex problem materials, exercise books
Chalk and blackboard, advanced geometric aids, exercise books |
KLB Mathematics Book Three Pg 244-245
|
|
| 5 | 6 |
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 |
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
|
|
| 5 | 7 |
Vectors (II)
Binomial Expansion |
Advanced geometric applications
Binomial expansions up to power four |
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 |
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
Chalk and blackboard, rectangular cutouts from paper, exercise books |
KLB Mathematics Book Three Pg 248-250
|
|
| 6 | 1 |
Binomial Expansion
|
Binomial expansions up to power four (continued)
Pascal's triangle Pascal's triangle applications |
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 |
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 Chalk and blackboard, Pascal's triangle reference charts, exercise books |
KLB Mathematics Book Three Pg 256
|
|
| 6 | 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
|
|
| 6 | 3-4 |
Binomial Expansion
Probability |
Applications to numerical cases
Applications to numerical cases (continued) Introduction Experimental Probability |
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 Calculate the experimental probability Understand probability concepts in daily life Distinguish between certain and uncertain events Recognize probability situations |
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 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, simple calculation aids, exercise books
Chalk and blackboard, advanced calculation examples, exercise books 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 259-260
KLB Mathematics Book Three Pg 262-264 |
|
| 6 | 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
|
|
| 6 | 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
|
|
| 6 | 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
|
|
| 7 | 1 |
Probability
|
Combined Events
Combined Events OR probability |
By the end of the
lesson, the learner
should be able to:
Find the probability of a combined events Understand compound events and combinations Distinguish between different event types Apply basic combination rules |
Q/A on event combination using practical examples
Discussions on exclusive and inclusive event identification Solving basic combined event problems using visual methods Demonstrations using card drawing and dice rolling combinations Explaining combination principles using Venn diagrams |
Chalk and blackboard, playing cards, multiple dice, Venn diagram drawings, exercise books
Chalk and blackboard, Venn diagram materials, card examples, exercise books |
KLB Mathematics Book Three Pg 272-273
|
|
| 7 | 2 |
Probability
|
Independent Events
Independent Events advanced |
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
|
|
| 7 | 3-4 |
Probability
Compound Proportion and Rates of Work |
Independent Events applications
Tree Diagrams Tree Diagrams advanced Compound Proportions Compound Proportions applications |
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 Find the compound proportions Understand compound proportion relationships Apply compound proportion methods systematically Solve problems involving multiple variables |
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 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, complex experimental materials, advanced calculation aids, exercise books
Chalk and blackboard, tree diagram templates, branching materials, exercise books Chalk and blackboard, complex tree examples, detailed calculation aids, exercise books Chalk and blackboard, local business examples, calculators if available, exercise books Chalk and blackboard, construction/farming examples, exercise books |
KLB Mathematics Book Three Pg 278-280
KLB Mathematics Book Three Pg 288-290 |
|
| 7 | 5 |
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
|
|
| 7 | 6 |
Compound Proportion and Rates of Work
|
Rates of Work
Rates of Work and Mixtures |
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
Chalk and blackboard, mixture demonstration materials, exercise books |
KLB Mathematics Book Three Pg 294-295
|
|
| 7 | 7 |
Graphical Methods
|
Tables of given relations
Graphs of given relations |
By the end of the
lesson, the learner
should be able to:
Draw tables of given relations Construct organized data tables systematically Prepare data for graphical representation Understand relationship between variables |
Q/A on table construction using systematic data organization
Discussions on variable relationships using practical examples Solving table preparation problems using organized methods Demonstrations using data collection and tabulation Explaining systematic data arrangement using logical procedures |
Chalk and blackboard, ruled paper for tables, exercise books
Chalk and blackboard, graph paper or grids, rulers, exercise books |
KLB Mathematics Book Three Pg 299
|
|
| 8 | 1 |
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
|
|
| 8 | 2 |
Graphical Methods
|
Graphical solution of cubic equations
Advanced cubic solutions |
By the end of the
lesson, the learner
should be able to:
Draw graphs of cubic equations Plot cubic curves accurately Use graphs to solve cubic equations Find roots using graphical methods |
Q/A on cubic curve plotting using systematic point plotting
Discussions on curve characteristics and root finding Solving cubic graphing problems using careful plotting Demonstrations using cubic curve construction Explaining root identification using graph analysis |
Chalk and blackboard, graph paper, cubic equation examples, exercise books
Chalk and blackboard, advanced graph examples, exercise books |
KLB Mathematics Book Three Pg 302-304
|
|
| 8 | 3-4 |
Graphical Methods
|
Introduction to rates of change
Average rates of change Advanced average rates Introduction to instantaneous rates |
By the end of the
lesson, the learner
should be able to:
Calculate the average rates of change Understand rate of change concepts Apply rate calculations to practical problems Interpret rate meanings in context 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 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 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, rate calculation examples, exercise books
Chalk and blackboard, graph paper, rate examples, exercise books Chalk and blackboard, advanced rate scenarios, exercise books Chalk and blackboard, tangent line examples, exercise books |
KLB Mathematics Book Three Pg 304-306
KLB Mathematics Book Three Pg 304-310 |
|
| 8 | 5 |
Graphical Methods
|
Rate of change at an instant
Advanced instantaneous rates Empirical graphs Advanced empirical methods |
By the end of the
lesson, the learner
should be able to:
Calculate the rate of change at an instant Apply instantaneous rate methods systematically Use graphical techniques for instant rates Solve practical instantaneous rate problems |
Q/A on instantaneous rate calculation using graphical methods
Discussions on tangent line slope interpretation Solving instantaneous rate problems using systematic approaches Demonstrations using detailed tangent constructions Explaining practical applications using real scenarios |
Chalk and blackboard, detailed graph examples, exercise books
Chalk and blackboard, advanced rate examples, exercise books Chalk and blackboard, experimental data examples, exercise books Chalk and blackboard, complex data examples, exercise books |
KLB Mathematics Book Three Pg 310-311
|
|
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