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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 2 | 1 |
Further Logarithms
|
Introduction
|
By the end of the
lesson, the learner
should be able to:
Use calculators to find the logarithm of numbers Understand logarithmic notation and concepts Apply basic logarithmic principles |
Q/A on exponential and logarithmic relationships
Discussions on logarithm definition and properties Solving basic logarithm problems Demonstrations of calculator usage Explaining logarithm-exponential connections |
Calculators, logarithm definition charts
|
KLB Mathematics Book Three Pg 89
|
|
| 2 | 2 |
Further Logarithms
|
Laws of logarithms
|
By the end of the
lesson, the learner
should be able to:
State the laws of logarithms Apply basic logarithmic laws Use logarithm laws for simple calculations |
Q/A on logarithmic law foundations
Discussions on multiplication and division laws Solving problems using basic laws Demonstrations of law applications Explaining law derivations |
Calculators, logarithm law charts
Calculators, advanced law worksheets Calculators, challenging problem sets |
KLB Mathematics Book Three Pg 90-93
|
|
| 2 | 3 |
Further Logarithms
|
Logarithmic equations and expressions
|
By the end of the
lesson, the learner
should be able to:
Solve the logarithmic equations and expressions Apply algebraic methods to logarithmic equations Verify solutions of logarithmic equations |
Q/A on equation-solving techniques
Discussions on logarithmic equation types Solving basic logarithmic equations Demonstrations of solution methods Explaining verification techniques |
Calculators, equation-solving guides
Calculators, advanced equation worksheets |
KLB Mathematics Book Three Pg 93-95
|
|
| 2 | 4 |
Further Logarithms
|
Further computation using logarithms
|
By the end of the
lesson, the learner
should be able to:
Solve problems involving logarithms Apply logarithms to numerical computations Use logarithms for complex calculations |
Q/A on computational applications
Discussions on numerical problem-solving Solving computation-based problems Demonstrations of logarithmic calculations Explaining computational advantages |
Calculators, computation worksheets
Calculators, intermediate problem sets Calculators, advanced computation guides |
KLB Mathematics Book Three Pg 95-96
|
|
| 2 | 5 |
Further Logarithms
Commercial Arithmetic |
Problem solving
Simple interest |
By the end of the
lesson, the learner
should be able to:
Solve problems involving logarithms Apply logarithms to computational applications Integrate logarithmic concepts systematically |
Q/A on integrated problem-solving
Discussions on application strategies Solving comprehensive computational problems Demonstrations of integrated approaches Explaining systematic problem-solving |
Calculators, comprehensive problem sets
Calculators, real-world application examples Calculators, simple interest charts |
KLB Mathematics Book Three Pg 97
|
|
| 2 | 6 |
Commercial Arithmetic
|
Simple interest
Compound interest |
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 |
KLB Mathematics Book Three Pg 98-101
|
|
| 2 | 7 |
Commercial Arithmetic
|
Compound interest
Appreciation Depreciation |
By the end of the
lesson, the learner
should be able to:
Calculate the compound interest Solve advanced compound interest problems Compare simple and compound interest |
Q/A on advanced compounding scenarios
Discussions on investment comparisons Solving complex compound problems Demonstrations of comparison methods Explaining investment decisions |
Calculators, comparison worksheets
Calculators, appreciation examples Calculators, depreciation charts |
KLB Mathematics Book Three Pg 102-107
|
|
| 3 | 1 |
Commercial Arithmetic
|
Hire purchase
Income tax and P.A.Y.E |
By the end of the
lesson, the learner
should be able to:
Find the hire purchase Calculate hire purchase terms Understand hire purchase concepts |
Q/A on hire purchase principles
Discussions on installment buying Solving basic hire purchase problems Demonstrations of payment calculations Explaining hire purchase benefits |
Calculators, hire purchase examples
Calculators, complex hire purchase worksheets Income tax tables, calculators |
KLB Mathematics Book Three Pg 110-112
|
|
| 3 | 2 |
Circles: Chords and Tangents
|
Length of an arc
|
By the end of the
lesson, the learner
should be able to:
Calculate the length of an arc Apply arc length formula Understand arc-radius relationships |
Q/A on circle properties and terminology
Discussions on arc measurement concepts Solving basic arc length problems Demonstrations of formula application Explaining arc-angle relationships |
Geometrical set, calculators
|
KLB Mathematics Book Three Pg 124-125
|
|
| 3 | 3 |
Circles: Chords and Tangents
|
Chords
Parallel chords Equal chords |
By the end of the
lesson, the learner
should be able to:
Calculate the length of a chord Apply chord properties and theorems Understand chord-radius relationships |
Q/A on chord definition and properties
Discussions on chord calculation methods Solving basic chord problems Demonstrations of geometric constructions Explaining chord theorems |
Geometrical set, calculators
|
KLB Mathematics Book Three Pg 126-128
|
|
| 3 | 4 |
Circles: Chords and Tangents
|
Intersecting chords
Chord properties |
By the end of the
lesson, the learner
should be able to:
Calculate the length of intersecting chords Apply intersecting chord theorem Understand chord intersection properties |
Q/A on chord intersection concepts
Discussions on intersection theorem Solving basic intersection problems Demonstrations of theorem application Explaining geometric proofs |
Geometrical set, calculators
|
KLB Mathematics Book Three Pg 132-135
|
|
| 3 | 5 |
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
|
|
| 3 | 6 |
Circles: Chords and Tangents
|
Tangent properties
Tangents to two 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 | 7 |
Circles: Chords and Tangents
|
Tangents to two circles
Contact of circles Contact of circles |
By the end of the
lesson, the learner
should be able to:
Calculate the tangents of transverse common tangents Find transverse tangent properties Compare direct and transverse tangents |
Q/A on transverse tangent concepts
Discussions on tangent type differences Solving transverse tangent problems Demonstrations of comparison methods Explaining tangent classifications |
Geometrical set, calculators
|
KLB Mathematics Book Three Pg 150-151
|
|
| 4 | 1 |
Circles: Chords and Tangents
|
Circle contact
Angle in alternate segment Angle in alternate segment |
By the end of the
lesson, the learner
should be able to:
Solve problems involving chords, tangents and contact circles Integrate all contact concepts Apply comprehensive contact knowledge |
Q/A on comprehensive contact understanding
Discussions on integrated problem-solving Solving complex contact problems Demonstrations of systematic approaches Explaining complete contact mastery |
Geometrical set, calculators
|
KLB Mathematics Book Three Pg 154-157
|
|
| 4 | 2 |
Circles: Chords and Tangents
|
Circumscribed circle
Escribed circles |
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
|
|
| 4 | 3 |
Circles: Chords and Tangents
Matrices |
Centroid
Orthocenter Circle and triangle relationships Introduction and real-life applications |
By the end of the
lesson, the learner
should be able to:
Construct centroid Find centroid properties Apply centroid concepts |
Q/A on centroid definition and properties
Discussions on centroid construction Solving centroid problems Demonstrations of construction techniques Explaining centroid applications |
Geometrical set, calculators
Old newspapers with league tables, chalk and blackboard, exercise books |
KLB Mathematics Book Three Pg 166
|
|
| 4 | 4 |
Matrices
|
Order of a matrix and elements
Square matrices, row and column matrices Addition of matrices Subtraction of matrices Combined addition and subtraction |
By the end of the
lesson, the learner
should be able to:
Determine the order of given matrices Identify matrix elements by position Use correct notation for matrix elements Distinguish between different matrix types |
Q/A on matrix structure using grid drawings
Discussions on rows and columns using classroom seating Solving element location using coordinate games Demonstrations using drawn grids on blackboard Explaining position notation using class register |
Chalk and blackboard, ruled exercise books, class register
Paper cutouts, chalk and blackboard, counters or bottle tops Counters or stones, chalk and blackboard, exercise books Chalk and blackboard, exercise books, number cards made from cardboard Chalk and blackboard, exercise books, locally made operation cards |
KLB Mathematics Book Three Pg 169-170
|
|
| 4 | 5 |
Matrices
|
Scalar multiplication
Introduction to matrix multiplication Matrix multiplication (2×2 matrices) Matrix multiplication (larger matrices) |
By the end of the
lesson, the learner
should be able to:
Multiply matrices by scalar quantities Apply scalar multiplication rules Understand the effect of scalar multiplication Solve scalar multiplication problems |
Q/A on scalar multiplication using times tables
Discussions on scaling using multiplication concepts Solving scalar problems using repeated addition Demonstrations using groups of objects Explaining scalar effects using enlargement concepts |
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 |
KLB Mathematics Book Three Pg 174-175
|
|
| 4 | 6 |
Matrices
|
Properties of matrix multiplication
Real-world matrix multiplication applications Identity matrix |
By the end of the
lesson, the learner
should be able to:
Understand non-commutativity of matrix multiplication Apply associative and distributive properties Distinguish between pre and post multiplication Solve problems involving multiplication properties |
Q/A on multiplication properties using counterexamples
Discussions on order importance using practical examples Solving property-based problems using verification Demonstrations using concrete examples Explaining distributive law using expansion |
Chalk and blackboard, exercise books, cardboard for property cards
Chalk and blackboard, local price lists, exercise books Chalk and blackboard, exercise books, pattern cards made from paper |
KLB Mathematics Book Three Pg 174-179
|
|
| 4 | 7 |
Matrices
|
Determinant of 2×2 matrices
Inverse of 2×2 matrices - theory |
By the end of the
lesson, the learner
should be able to:
Calculate determinants of 2×2 matrices Apply the determinant formula correctly Understand geometric interpretation of determinants Use determinants to classify matrices |
Q/A on determinant calculation using cross multiplication
Discussions on formula application using memory aids Solving determinant problems using systematic approach Demonstrations using cross pattern method Explaining geometric meaning using area concepts |
Chalk and blackboard, exercise books, crossed sticks for demonstration
Chalk and blackboard, exercise books, fraction examples |
KLB Mathematics Book Three Pg 183
|
|
| 5 | 1 |
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
|
|
| 5 | 2 |
Matrices
|
Advanced simultaneous equation problems
Matrix applications in real-world problems Transpose of matrices |
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 |
KLB Mathematics Book Three Pg 188-190
|
|
| 5 | 3 |
Matrices
Formulae and Variations Formulae and Variations |
Matrix equation solving
Introduction to formulae Subject of a formula - basic cases |
By the end of the
lesson, the learner
should be able to:
Solve matrix equations systematically Find unknown matrices in equations Apply inverse operations to solve equations Verify matrix equation solutions |
Q/A on equation solving using algebraic analogy
Discussions on unknown determination using systematic methods Solving matrix equations using step-by-step approach Demonstrations using organized solution procedures Explaining verification using checking methods |
Chalk and blackboard, exercise books, algebra reference examples
Chalk and blackboard, measuring tape or string, exercise books Chalk and blackboard, simple balance (stones and stick), exercise books |
KLB Mathematics Book Three Pg 183-190
|
|
| 5 | 4 |
Formulae and Variations
|
Subject of a formula - intermediate cases
Subject of a formula - advanced cases |
By the end of the
lesson, the learner
should be able to:
Make complex variables the subject of formulae Handle formulae with fractions and powers Apply multiple inverse operations systematically Solve intermediate difficulty problems |
Q/A on complex rearrangement using systematic approach
Discussions on fraction handling using common denominators Solving intermediate problems using organized methods Demonstrations using step-by-step blackboard work Explaining systematic approaches using flowcharts |
Chalk and blackboard, fraction strips made from paper, exercise books
Chalk and blackboard, squared paper patterns, exercise books |
KLB Mathematics Book Three Pg 191-193
|
|
| 5 | 5 |
Formulae and Variations
|
Applications of formula manipulation
Introduction to variation Direct variation - introduction |
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 |
KLB Mathematics Book Three Pg 191-193
|
|
| 5 | 6 |
Sequences and Series
|
Introduction to sequences and finding terms
General term of sequences and applications Arithmetic sequences and nth term |
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 Chalk and blackboard, measuring tape or string, exercise books |
KLB Mathematics Book Three Pg 207-208
|
|
| 5 | 7 |
Sequences and Series
|
Arithmetic sequence applications
Geometric sequences and nth term |
By the end of the
lesson, the learner
should be able to:
Solve complex arithmetic sequence problems Apply arithmetic sequences to real-world problems Handle word problems involving arithmetic sequences Model practical situations using arithmetic progressions |
Q/A on practical applications using local business examples
Discussions on salary progression and savings plans Solving real-world problems using sequence methods Demonstrations using employment and finance scenarios Explaining practical interpretation using meaningful contexts |
Chalk and blackboard, local employment/savings examples, exercise books
Chalk and blackboard, objects for doubling demonstrations, exercise books |
KLB Mathematics Book Three Pg 209-210
|
|
| 6 | 1 |
Sequences and Series
|
Geometric sequence applications
Arithmetic series and sum formula Geometric series and applications |
By the end of the
lesson, the learner
should be able to:
Solve complex geometric sequence problems Apply geometric sequences to real-world problems Handle population growth and depreciation problems Model exponential patterns using sequences |
Q/A on practical applications using population/growth examples
Discussions on exponential growth in nature and economics Solving real-world problems using geometric methods Demonstrations using population and business scenarios Explaining practical interpretation using meaningful contexts |
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
|
|
| 6 | 2 |
Sequences and Series
Probability |
Mixed problems and advanced applications
Sequences in nature and technology Introduction |
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, coins, dice made from cardboard, exercise books |
KLB Mathematics Book Three Pg 207-219
|
|
| 6 | 3 |
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 |
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
|
|
| 6 | 4 |
Probability
|
Range of Probability Measure
Probability Space Theoretical Probability |
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 |
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
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 265-266
|
|
| 6 | 5 |
Probability
|
Theoretical Probability advanced
Theoretical Probability applications Combined Events |
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 |
KLB Mathematics Book Three Pg 268-270
|
|
| 6 | 6 |
Probability
|
Combined Events OR probability
Independent Events Independent Events advanced |
By the end of the
lesson, the learner
should be able to:
Find the probability of a combined events Apply addition rule for OR events Calculate "A or B" probabilities Handle mutually exclusive events |
Q/A on addition rule application using systematic methods
Discussions on mutually exclusive identification and calculation Solving OR probability problems using organized approaches Demonstrations using card selection and event combination Explaining addition rule logic using Venn diagrams |
Chalk and blackboard, Venn diagram materials, card examples, exercise books
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 272-274
|
|
| 6 | 7 |
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
|
|
| 7 | 1 |
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
|
|
| 7 | 2 |
Compound Proportion and Rates of Work
|
Proportional Parts
Proportional Parts applications Rates of Work |
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 |
KLB Mathematics Book Three Pg 291-293
|
|
| 7 | 3 |
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 | 4 |
Graphical Methods
|
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 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 Chalk and blackboard, cubic function examples, exercise books |
KLB Mathematics Book Three Pg 300
|
|
| 7 | 5 |
Graphical Methods
|
Graphical solution of cubic equations
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 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 |
KLB Mathematics Book Three Pg 302-304
|
|
| 7 | 6 |
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 | 7 |
Graphical Methods
|
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 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 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
|
|
| 8-9 |
END TERM EXAMS |
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