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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 2 | 1 |
Commercial Arithmetic
|
Simple interest
|
By the end of the
lesson, the learner
should be able to:
Calculate simple interest Apply simple interest formula Solve basic interest problems |
Q/A on interest concepts and terminology
Discussions on principal, rate, and time Solving basic simple interest problems Demonstrations of formula application Explaining interest calculations |
Calculators, simple interest charts
|
KLB Mathematics Book Three Pg 98-99
|
|
| 2 | 2 |
Commercial Arithmetic
|
Simple interest
Compound interest Compound interest Appreciation |
By the end of the
lesson, the learner
should be able to:
Calculate simple interest Solve complex simple interest problems Apply simple interest to real-world situations |
Q/A on advanced simple interest concepts
Discussions on practical applications Solving complex interest problems Demonstrations of real-world scenarios Explaining business applications |
Calculators, real-world problem sets
Calculators, compound interest tables Calculators, comparison worksheets Calculators, appreciation examples |
KLB Mathematics Book Three Pg 98-101
|
|
| 2 | 3 |
Commercial Arithmetic
|
Depreciation
Hire purchase Hire purchase Income tax and P.A.Y.E |
By the end of the
lesson, the learner
should be able to:
Calculate the depreciation value of items Apply depreciation methods Solve depreciation problems |
Q/A on depreciation concepts and methods
Discussions on asset value decreases Solving depreciation calculation problems Demonstrations of depreciation methods Explaining business depreciation |
Calculators, depreciation charts
Calculators, hire purchase examples Calculators, complex hire purchase worksheets Income tax tables, calculators |
KLB Mathematics Book Three Pg 109
|
|
| 2 | 4 |
Circles: Chords and Tangents
|
Length of an arc
Chords Parallel chords |
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 | 5 |
Circles: Chords and Tangents
|
Equal chords
Intersecting chords Intersecting chords Chord properties |
By the end of the
lesson, the learner
should be able to:
Find the length of equal chords Apply equal chord theorems Solve equal chord problems |
Q/A on equal chord properties
Discussions on chord equality conditions Solving equal chord problems Demonstrations of proof techniques Explaining theoretical foundations |
Geometrical set, calculators
|
KLB Mathematics Book Three Pg 131-132
|
|
| 2 | 6 |
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:
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 properties
Tangents to two circles Tangents to two circles Contact of circles |
By the end of the
lesson, the learner
should be able to:
Solve comprehensive tangent problems Apply all tangent concepts Integrate tangent knowledge systematically |
Q/A on comprehensive tangent mastery
Discussions on integrated applications Solving mixed tangent problems Demonstrations of complete understanding Explaining systematic problem-solving |
Geometrical set, calculators
|
KLB Mathematics Book Three Pg 139-147
|
|
| 3 | 1 |
Circles: Chords and Tangents
|
Contact of circles
Circle contact Angle in alternate segment Angle in alternate segment |
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 | 2 |
Circles: Chords and Tangents
|
Circumscribed circle
Escribed circles Centroid Orthocenter |
By the end of the
lesson, the learner
should be able to:
Construct circumscribed circles Find circumscribed circle properties Apply circumscription concepts |
Q/A on circumscription concepts
Discussions on circumscribed circle construction Solving circumscription problems Demonstrations of construction techniques Explaining circumscription applications |
Geometrical set, calculators
|
KLB Mathematics Book Three Pg 165
|
|
| 3 | 3 |
Circles: Chords and Tangents
Matrices Matrices Matrices Matrices Matrices |
Circle and triangle relationships
Introduction and real-life applications Order of a matrix and elements Square matrices, row and column matrices Addition of matrices Subtraction of matrices |
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 Chalk and blackboard, ruled exercise books, class register Paper cutouts, chalk and blackboard, counters or bottle tops Counters or stones, chalk and blackboard, exercise books Chalk and blackboard, exercise books, number cards made from cardboard |
KLB Mathematics Book Three Pg 164-167
|
|
| 3 | 4 |
Matrices
|
Combined addition and subtraction
Scalar multiplication Introduction to matrix multiplication Matrix multiplication (2×2 matrices) Matrix multiplication (larger matrices) Properties of matrix multiplication |
By the end of the
lesson, the learner
should be able to:
Perform multiple matrix operations Apply order of operations in matrix calculations Solve complex combined problems Demonstrate systematic problem-solving |
Q/A on operation order using BODMAS rules
Discussions on complex expressions using step-by-step approach Solving multi-step problems using organized methods Demonstrations using systematic blackboard work Explaining operation sequencing using flowcharts |
Chalk and blackboard, exercise books, locally made operation cards
Beans or stones for grouping, chalk and blackboard, exercise books Chalk and blackboard, rulers for tracing, exercise books Chalk and blackboard, exercise books, homemade grid templates Chalk and blackboard, large sheets of paper for working, exercise books Chalk and blackboard, exercise books, cardboard for property cards |
KLB Mathematics Book Three Pg 171-174
|
|
| 3 | 5 |
Matrices
|
Real-world matrix multiplication applications
Identity matrix Determinant of 2×2 matrices Inverse of 2×2 matrices - theory |
By the end of the
lesson, the learner
should be able to:
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
Chalk and blackboard, exercise books, pattern cards made from paper Chalk and blackboard, exercise books, crossed sticks for demonstration Chalk and blackboard, exercise books, fraction examples |
KLB Mathematics Book Three Pg 176-179
|
|
| 3 | 6 |
Matrices
|
Inverse of 2×2 matrices - practice
Introduction to solving simultaneous equations Solving 2×2 simultaneous equations using matrices |
By the end of the
lesson, the learner
should be able to:
Calculate inverses of 2×2 matrices systematically Verify inverse calculations through multiplication Apply inverse properties correctly Solve complex inverse problems |
Q/A on inverse calculation verification methods
Discussions on accuracy checking using multiplication Solving advanced inverse problems using practice Demonstrations using verification procedures Explaining checking methods using examples |
Chalk and blackboard, exercise books, scrap paper for verification
Chalk and blackboard, exercise books, equation examples from previous topics Chalk and blackboard, exercise books, previous elimination method examples |
KLB Mathematics Book Three Pg 185-187
|
|
| 3 | 7 |
Matrices
|
Advanced simultaneous equation problems
Matrix applications in real-world problems Transpose of matrices Matrix equation solving |
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 Chalk and blackboard, exercise books, paper cutouts for demonstration Chalk and blackboard, exercise books, algebra reference examples |
KLB Mathematics Book Three Pg 188-190
|
|
| 4 | 1 |
Formulae and Variations
|
Introduction to formulae
Subject of a formula - basic cases Subject of a formula - intermediate cases Subject of a formula - advanced 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 Chalk and blackboard, fraction strips made from paper, exercise books Chalk and blackboard, squared paper patterns, exercise books |
KLB Mathematics Book Three Pg 191-193
|
|
| 4 | 2 |
Formulae and Variations
Sequences and Series |
Applications of formula manipulation
Introduction to variation Direct variation - introduction Introduction to sequences and finding terms |
By the end of the
lesson, the learner
should be able to:
Apply formula rearrangement to practical problems Solve real-world problems using formula manipulation Calculate unknown quantities in various contexts Interpret results in meaningful situations |
Q/A on practical applications using local examples
Discussions on real-world formula use in farming/building Solving application problems using formula rearrangement Demonstrations using construction and farming scenarios Explaining practical interpretation using community examples |
Chalk and blackboard, local measurement tools, exercise books
Chalk and blackboard, local price lists from markets, exercise books Chalk and blackboard, beans or stones for counting, exercise books Chalk and blackboard, stones or beans for patterns, exercise books |
KLB Mathematics Book Three Pg 191-193
|
|
| 4 | 3 |
Sequences and Series
|
General term of sequences and applications
Arithmetic sequences and nth term Arithmetic sequence applications |
By the end of the
lesson, the learner
should be able to:
Develop general rules for sequences Express the nth term using algebraic notation Find specific terms using general formulas Apply sequence concepts to practical problems |
Q/A on rule formulation using systematic approach
Discussions on algebraic expression development Solving general term and application problems Demonstrations using position-value relationships Explaining practical relevance using community examples |
Chalk and blackboard, numbered cards made from paper, exercise books
Chalk and blackboard, measuring tape or string, exercise books Chalk and blackboard, local employment/savings examples, exercise books |
KLB Mathematics Book Three Pg 207-208
|
|
| 4 | 4 |
Sequences and Series
|
Geometric sequences and nth term
Geometric sequence applications Arithmetic series and sum formula Geometric series and 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 Chalk and blackboard, counting materials for summation, exercise books Chalk and blackboard, convergence demonstration materials, exercise books |
KLB Mathematics Book Three Pg 211-213
|
|
| 4 | 5 |
Sequences and Series
Vectors (II) 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 |
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 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
|
|
| 4 | 6 |
Vectors (II)
|
Column and position vectors in three dimensions
Position vectors and applications 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:
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 Chalk and blackboard, component calculation aids, exercise books |
KLB Mathematics Book Three Pg 223-224
|
|
| 4 | 7 |
Vectors (II)
|
Magnitude of a vector in three dimensions
Magnitude applications and unit vectors Parallel vectors Collinearity |
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 Chalk and blackboard, parallel line demonstrations, exercise books Chalk and blackboard, straight-line demonstrations, exercise books |
KLB Mathematics Book Three Pg 229-230
|
|
| 5 | 1 |
Vectors (II)
|
Advanced collinearity applications
Proportional division of a line External 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 Chalk and blackboard, external division models, exercise books |
KLB Mathematics Book Three Pg 232-234
|
|
| 5 | 2 |
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 |
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
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
|
|
| 5 | 3 |
Vectors (II)
|
Ratio theorem and midpoint integration
Advanced ratio theorem applications Applications of vectors in geometry Rectangle diagonal 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 Chalk and blackboard, parallelogram models, exercise books Chalk and blackboard, rectangle models, exercise books |
KLB Mathematics Book Three Pg 244-245
|
|
| 5 | 4 |
Vectors (II)
Binomial Expansion Binomial Expansion Binomial Expansion |
Advanced geometric applications
Binomial expansions up to power four Binomial expansions up to power four (continued) Pascal's triangle |
By the end of the
lesson, the learner
should be able to:
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 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 248-250
|
|
| 5 | 5 |
Binomial Expansion
|
Pascal's triangle applications
Pascal's triangle (continued) 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 Pascal's triangle to binomial expansions efficiently Use triangle coefficients for various powers Solve expansion problems using triangle methods |
Q/A on triangle application using coefficient identification
Discussions on efficient expansion using triangle methods Solving expansion problems using Pascal's triangle Demonstrations using triangle-guided calculations Explaining efficiency benefits using comparative methods |
Chalk and blackboard, Pascal's triangle reference charts, exercise books
Chalk and blackboard, advanced triangle patterns, exercise books Chalk and blackboard, combination calculation aids, exercise books Chalk and blackboard, simple calculation aids, exercise books |
KLB Mathematics Book Three Pg 257-258
|
|
| 5 | 6 |
Binomial Expansion
Probability Probability |
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 binomial methods to complex calculations Handle decimal approximations using expansions Solve practical numerical problems |
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
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
|
|
| 5 | 7 |
Probability
|
Experimental Probability applications
Range of Probability Measure Probability Space Theoretical Probability |
By the end of the
lesson, the learner
should be able to:
Calculate the experimental probability Apply experimental methods to various scenarios Handle large sample experiments Analyze experimental probability patterns |
Q/A on advanced experimental techniques using extended trials
Discussions on sample size effects using comparative data Solving complex experimental problems using systematic methods Demonstrations using extended experimental procedures Explaining pattern analysis using accumulated data |
Chalk and blackboard, extended experimental materials, data recording sheets, exercise books
Chalk and blackboard, number line drawings, probability scale charts, exercise books Chalk and blackboard, playing cards (locally made), spinners from cardboard, exercise books Chalk and blackboard, fair dice and coins, probability calculation aids, exercise books |
KLB Mathematics Book Three Pg 262-264
|
|
| 6 | 1 |
Probability
|
Theoretical Probability advanced
Theoretical Probability applications Combined Events Combined Events OR probability |
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 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 268-270
|
|
| 6 | 2 |
Probability
|
Independent Events
Independent Events advanced Independent Events applications Tree Diagrams |
By the end of the
lesson, the learner
should be able to:
Find the probability of independent events Apply multiplication rule for independent events Calculate "A and B" probabilities Understand independence concepts |
Q/A on multiplication rule using independent event examples
Discussions on independence identification and verification Solving AND probability problems using systematic calculation Demonstrations using multiple coin tosses and dice combinations Explaining multiplication rule using logical reasoning |
Chalk and blackboard, multiple coins and dice, independence demonstration materials, exercise books
Chalk and blackboard, playing cards for replacement scenarios, multiple experimental setups, exercise books Chalk and blackboard, complex experimental materials, advanced calculation aids, exercise books Chalk and blackboard, tree diagram templates, branching materials, exercise books |
KLB Mathematics Book Three Pg 274-275
|
|
| 6 | 3 |
Probability
Compound Proportion and Rates of Work Compound Proportion and Rates of Work |
Tree Diagrams advanced
Compound Proportions Compound Proportions applications |
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 Chalk and blackboard, construction/farming examples, exercise books |
KLB Mathematics Book Three Pg 283-285
|
|
| 6 | 4 |
Compound Proportion and Rates of Work
|
Proportional Parts
Proportional Parts applications Rates of Work Rates of Work and Mixtures |
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 Chalk and blackboard, work scenario examples, exercise books Chalk and blackboard, mixture demonstration materials, exercise books |
KLB Mathematics Book Three Pg 291-293
|
|
| 6 | 5 |
Graphical Methods
|
Tables of given relations
Graphs of given relations Tables and graphs integration Introduction to cubic equations |
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 Chalk and blackboard, graph paper, data examples, exercise books Chalk and blackboard, cubic function examples, exercise books |
KLB Mathematics Book Three Pg 299
|
|
| 6 | 6 |
Graphical Methods
|
Graphical solution of cubic equations
Advanced cubic solutions Introduction to rates of change Average rates of change |
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 Chalk and blackboard, rate calculation examples, exercise books Chalk and blackboard, graph paper, rate examples, exercise books |
KLB Mathematics Book Three Pg 302-304
|
|
| 6 | 7 |
Graphical Methods
|
Advanced average rates
Introduction to instantaneous rates 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 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 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 304-310
|
|
| 7-8 |
End Term Exams |
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