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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 2 | 1 |
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
|
|
| 2 | 2 |
Circles: Chords and Tangents
|
Length of an arc
Chords |
By the end of the
lesson, the learner
should be able to:
Calculate the length of an arc Solve complex arc length problems Apply arc concepts to real situations |
Q/A on advanced arc applications
Discussions on practical arc measurements Solving complex arc problems Demonstrations of real-world applications Explaining engineering and design uses |
Geometrical set, calculators
|
KLB Mathematics Book Three Pg 124-125
|
|
| 2 | 3 |
Circles: Chords and Tangents
|
Parallel chords
Equal chords Intersecting chords |
By the end of the
lesson, the learner
should be able to:
Calculate the perpendicular bisector Find the value of parallel chords Apply parallel chord properties |
Q/A on parallel chord concepts
Discussions on perpendicular bisector properties Solving parallel chord problems Demonstrations of construction techniques Explaining geometric relationships |
Geometrical set, calculators
|
KLB Mathematics Book Three Pg 129-131
|
|
| 2 | 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 Solve complex intersection problems Apply advanced chord theorems |
Q/A on advanced intersection scenarios
Discussions on complex chord relationships Solving challenging intersection problems Demonstrations of advanced techniques Explaining sophisticated applications |
Geometrical set, calculators
|
KLB Mathematics Book Three Pg 135-139
|
|
| 2 | 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
|
|
| 2 | 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
|
|
| 2 | 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
|
|
| 3 | 1 |
Circles: Chords and Tangents
|
Circle contact
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
|
|
| 3 | 2 |
Circles: Chords and Tangents
|
Angle in alternate segment
Circumscribed circle Escribed circles |
By the end of the
lesson, the learner
should be able to:
Calculate the angles in alternate segments Solve complex segment problems Apply advanced segment theorems |
Q/A on advanced segment applications
Discussions on complex angle relationships Solving challenging segment problems Demonstrations of sophisticated techniques Explaining advanced applications |
Geometrical set, calculators
|
KLB Mathematics Book Three Pg 160-161
|
|
| 3 | 3 |
Circles: Chords and Tangents
|
Centroid
Orthocenter |
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
|
KLB Mathematics Book Three Pg 166
|
|
| 3 | 4 |
Circles: Chords and Tangents
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 |
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 |
KLB Mathematics Book Three Pg 164-167
|
|
| 3 | 5 |
Matrices
|
Subtraction of matrices
Combined addition and subtraction Scalar multiplication Introduction to matrix multiplication Matrix multiplication (2×2 matrices) |
By the end of the
lesson, the learner
should be able to:
Subtract matrices of the same order Apply matrix subtraction rules correctly Understand order requirements for subtraction Solve complex matrix subtraction problems |
Q/A on matrix subtraction using simple numbers
Discussions on element-wise subtraction using examples Solving subtraction problems on blackboard Demonstrations using number line concepts Explaining sign changes using practical examples |
Chalk and blackboard, exercise books, number cards made from cardboard
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 |
KLB Mathematics Book Three Pg 170-171
|
|
| 3 | 6 |
Matrices
|
Matrix multiplication (larger matrices)
Properties of matrix multiplication Real-world matrix multiplication applications |
By the end of the
lesson, the learner
should be able to:
Multiply matrices of various orders Apply multiplication to 3×3 and larger matrices Determine when multiplication is possible Calculate products efficiently |
Q/A on larger matrix multiplication using patterns
Discussions on efficiency techniques using shortcuts Solving advanced problems using systematic methods Demonstrations using organized calculation procedures Explaining general principles using examples |
Chalk and blackboard, large sheets of paper for working, exercise books
Chalk and blackboard, exercise books, cardboard for property cards Chalk and blackboard, local price lists, exercise books |
KLB Mathematics Book Three Pg 176-179
|
|
| 3 | 7 |
Matrices
|
Identity matrix
Determinant of 2×2 matrices |
By the end of the
lesson, the learner
should be able to:
Define and identify identity matrices Understand identity matrix properties Apply identity matrices in multiplication Recognize the multiplicative identity role |
Q/A on identity concepts using number 1 analogy
Discussions on multiplicative identity using examples Solving identity problems using pattern recognition Demonstrations using multiplication by 1 concept Explaining diagonal properties using visual patterns |
Chalk and blackboard, exercise books, pattern cards made from paper
Chalk and blackboard, exercise books, crossed sticks for demonstration |
KLB Mathematics Book Three Pg 182-183
|
|
| 4 | 1 |
Matrices
|
Inverse of 2×2 matrices - theory
Inverse of 2×2 matrices - practice Introduction to solving simultaneous equations |
By the end of the
lesson, the learner
should be able to:
Understand the concept of matrix inverse Identify conditions for matrix invertibility Apply the inverse formula for 2×2 matrices Understand singular matrices |
Q/A on inverse concepts using reciprocal analogy
Discussions on invertibility using determinant conditions Solving basic inverse problems using formula Demonstrations using step-by-step method Explaining singular matrices using zero determinant |
Chalk and blackboard, exercise books, fraction examples
Chalk and blackboard, exercise books, scrap paper for verification Chalk and blackboard, exercise books, equation examples from previous topics |
KLB Mathematics Book Three Pg 183-185
|
|
| 4 | 2 |
Matrices
|
Solving 2×2 simultaneous equations using matrices
Advanced simultaneous equation problems |
By the end of the
lesson, the learner
should be able to:
Solve 2×2 simultaneous equations using matrix methods Apply inverse matrix techniques Verify solutions by substitution Compare matrix method with other techniques |
Q/A on matrix solution methods using step-by-step approach
Discussions on solution verification using substitution Solving 2×2 systems using complete method Demonstrations using organized solution process Explaining method advantages using comparisons |
Chalk and blackboard, exercise books, previous elimination method examples
Chalk and blackboard, exercise books, graph paper if available |
KLB Mathematics Book Three Pg 188-190
|
|
| 4 | 3 |
Matrices
|
Matrix applications in real-world problems
Transpose of matrices Matrix equation solving |
By the end of the
lesson, the learner
should be able to:
Apply matrix operations to practical scenarios Solve business, engineering, and scientific problems Model real situations using matrices Interpret matrix solutions in context |
Q/A on practical applications using local examples
Discussions on modeling using familiar situations Solving comprehensive problems using matrix tools Demonstrations using community-based scenarios Explaining solution interpretation using meaningful contexts |
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 168-190
|
|
| 4 | 4 |
Formulae and Variations
|
Introduction to formulae
Subject of a formula - basic 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 |
KLB Mathematics Book Three Pg 191-193
|
|
| 4 | 5 |
Formulae and Variations
|
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 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 Chalk and blackboard, local measurement tools, exercise books |
KLB Mathematics Book Three Pg 191-193
|
|
| 4 | 6 |
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
|
|
| 4 | 7 |
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 | 1 |
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
|
|
| 5 | 2 |
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
|
|
| 5 | 3 |
Sequences and Series
|
Mixed problems and advanced applications
Sequences in nature and technology |
By the end of the
lesson, the learner
should be able to:
Combine arithmetic and geometric concepts Solve complex mixed sequence and series problems Apply appropriate methods for different types Model real-world situations using mathematical sequences |
Q/A on problem type identification using systematic analysis
Discussions on method selection and comprehensive applications Solving mixed problems using appropriate techniques Demonstrations using interdisciplinary scenarios Explaining method choice using logical reasoning |
Chalk and blackboard, mixed problem collections, exercise books
Chalk and blackboard, natural and technology examples, exercise books |
KLB Mathematics Book Three Pg 207-219
|
|
| 5 | 4 |
Vectors (II)
|
Coordinates in two dimensions
Coordinates in three dimensions Column and position vectors in three dimensions |
By the end of the
lesson, the learner
should be able to:
Identify the coordinates of a point in two dimensions Plot points on coordinate planes accurately Understand position representation using coordinates Apply coordinate concepts to practical situations |
Q/A on coordinate identification using grid references
Discussions on map reading and location finding Solving coordinate plotting problems using systematic methods Demonstrations using classroom grid systems and floor patterns Explaining coordinate applications using local maps and directions |
Chalk and blackboard, squared paper or grid drawn on ground, exercise books
Chalk and blackboard, 3D models made from sticks and clay, exercise books Chalk and blackboard, movement demonstration space, exercise books |
KLB Mathematics Book Three Pg 221-222
|
|
| 5 | 5 |
Vectors (II)
|
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:
Calculate the position vector Apply position vectors to geometric problems Find distances using position vector methods Solve positioning problems systematically |
Q/A on position vector calculation using origin references
Discussions on position determination using coordinate methods Solving position vector problems using systematic calculation Demonstrations using fixed origin and variable endpoints Explaining position concepts using practical location examples |
Chalk and blackboard, origin marking systems, exercise books
Chalk and blackboard, direction indicators, unit vector reference charts, exercise books |
KLB Mathematics Book Three Pg 224
|
|
| 5 | 6 |
Vectors (II)
|
Vector operations using unit vectors
Magnitude of a vector in three dimensions Magnitude applications and unit vectors |
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 Chalk and blackboard, direction finding aids, exercise books |
KLB Mathematics Book Three Pg 226-228
|
|
| 5 | 7 |
Vectors (II)
|
Parallel vectors
Collinearity |
By the end of the
lesson, the learner
should be able to:
Identify parallel vectors Determine when vectors are parallel Apply parallel vector properties Use scalar multiples in parallel relationships |
Q/A on parallel identification using scalar multiple methods
Discussions on parallel relationships using geometric examples Solving parallel vector problems using systematic testing Demonstrations using parallel line and direction examples Explaining parallel concepts using geometric reasoning |
Chalk and blackboard, parallel line demonstrations, exercise books
Chalk and blackboard, straight-line demonstrations, exercise books |
KLB Mathematics Book Three Pg 231-232
|
|
| 6 | 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
|
|
| 6 | 2 |
Vectors (II)
|
Combined internal and external division
Ratio theorem |
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 |
KLB Mathematics Book Three Pg 239
|
|
| 6 | 3 |
Vectors (II)
|
Advanced ratio theorem applications
Mid-point Ratio theorem and midpoint integration |
By the end of the
lesson, the learner
should be able to:
Find the position vector Apply ratio theorem to complex scenarios Solve multi-step ratio problems Use ratio theorem in geometric proofs |
Q/A on advanced ratio applications using complex problems
Discussions on multi-step ratio calculation Solving challenging ratio problems using systematic methods Demonstrations using comprehensive ratio examples Explaining advanced applications using detailed reasoning |
Chalk and blackboard, advanced ratio models, exercise books
Chalk and blackboard, midpoint demonstration aids, exercise books Chalk and blackboard, complex problem materials, exercise books |
KLB Mathematics Book Three Pg 242
|
|
| 6 | 4 |
Vectors (II)
|
Advanced ratio theorem applications
Applications of vectors in geometry |
By the end of the
lesson, the learner
should be able to:
Use ratio theorem to find the given vectors Apply ratio theorem to challenging problems Handle complex geometric applications Demonstrate comprehensive ratio mastery |
Q/A on comprehensive ratio understanding using advanced problems
Discussions on complex ratio relationships Solving advanced ratio problems using systematic methods Demonstrations using sophisticated geometric constructions Explaining mastery using challenging applications |
Chalk and blackboard, advanced geometric aids, exercise books
Chalk and blackboard, parallelogram models, exercise books |
KLB Mathematics Book Three Pg 246-248
|
|
| 6 | 5 |
Vectors (II)
Binomial Expansion |
Rectangle diagonal applications
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 the diagonals of a rectangle Apply vector methods to rectangle properties Prove rectangle theorems using vectors Compare parallelogram and rectangle diagonal properties |
Q/A on rectangle properties using vector analysis
Discussions on diagonal relationships using vector methods Solving rectangle problems using systematic approaches Demonstrations using rectangle constructions and vector proofs Explaining rectangle properties using vector reasoning |
Chalk and blackboard, rectangle models, exercise books
Chalk and blackboard, advanced geometric models, exercise books Chalk and blackboard, rectangular cutouts from paper, exercise books |
KLB Mathematics Book Three Pg 248-250
|
|
| 6 | 6 |
Binomial Expansion
|
Binomial expansions up to power four (continued)
Pascal's triangle |
By the end of the
lesson, the learner
should be able to:
Expand binomial function up to power four Handle increasingly complex coefficient patterns Apply systematic expansion techniques efficiently Verify expansions using substitution methods |
Q/A on power expansion using multiplication techniques
Discussions on coefficient identification using pattern analysis Solving expansion problems using systematic approaches Demonstrations using geometric representations Explaining verification methods using numerical substitution |
Chalk and blackboard, squared paper for geometric models, exercise books
Chalk and blackboard, triangular patterns drawn/cut from paper, exercise books |
KLB Mathematics Book Three Pg 256
|
|
| 6 | 7 |
Binomial Expansion
|
Pascal's triangle applications
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 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 |
KLB Mathematics Book Three Pg 257-258
|
|
| 7 | 1 |
Binomial Expansion
|
Applications to numerical cases
Applications to numerical cases (continued) |
By the end of the
lesson, the learner
should be able to:
Use binomial expansion to solve numerical problems Apply expansions for numerical approximations Calculate values using binomial methods Understand practical applications of expansions |
Q/A on numerical applications using approximation techniques
Discussions on calculation shortcuts using expansion methods Solving numerical problems using binomial approaches Demonstrations using practical calculation scenarios Explaining approximation benefits using real examples |
Chalk and blackboard, simple calculation aids, exercise books
Chalk and blackboard, advanced calculation examples, exercise books |
KLB Mathematics Book Three Pg 259-260
|
|
| 7 | 2 |
Probability
|
Introduction
Experimental Probability Experimental Probability applications |
By the end of the
lesson, the learner
should be able to:
Calculate the experimental probability Understand probability concepts in daily life Distinguish between certain and uncertain events Recognize probability situations |
Q/A on uncertain events from daily life experiences
Discussions on weather prediction and game outcomes Analyzing chance events using coin tossing and dice rolling Demonstrations using simple probability experiments Explaining probability language using familiar examples |
Chalk and blackboard, coins, dice made from cardboard, exercise books
Chalk and blackboard, coins, cardboard dice, tally charts, exercise books Chalk and blackboard, extended experimental materials, data recording sheets, exercise books |
KLB Mathematics Book Three Pg 262-264
|
|
| 7 | 3 |
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
|
|
| 7 | 4 |
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 | 5 |
Probability
|
Combined Events
Combined Events OR probability Independent Events |
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 Chalk and blackboard, multiple coins and dice, independence demonstration materials, exercise books |
KLB Mathematics Book Three Pg 272-273
|
|
| 7 | 6 |
Probability
|
Independent Events advanced
Independent Events applications |
By the end of the
lesson, the learner
should be able to:
Find the probability of independent events Distinguish between independent and dependent events Apply conditional probability concepts Handle complex independence scenarios |
Q/A on independence verification using mathematical methods
Discussions on dependence concepts using card drawing examples Solving dependent and independent event problems using systematic approaches Demonstrations using replacement and non-replacement scenarios Explaining conditional probability using practical examples |
Chalk and blackboard, playing cards for replacement scenarios, multiple experimental setups, exercise books
Chalk and blackboard, complex experimental materials, advanced calculation aids, exercise books |
KLB Mathematics Book Three Pg 276-278
|
|
| 7 | 7 |
Probability
Compound Proportion and Rates of Work |
Tree Diagrams
Tree Diagrams advanced Compound Proportions |
By the end of the
lesson, the learner
should be able to:
Draw tree diagrams to show the probability space Construct tree diagrams systematically Represent sequential events using trees Apply tree diagram methods |
Q/A on tree construction using step-by-step methods
Discussions on sequential event representation Solving basic tree diagram problems using systematic drawing Demonstrations using branching examples and visual organization Explaining tree structure using logical branching principles |
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 |
KLB Mathematics Book Three Pg 282
|
|
| 8 | 1 |
Compound Proportion and Rates of Work
|
Compound Proportions applications
Proportional Parts |
By the end of the
lesson, the learner
should be able to:
Find the compound proportions Apply compound proportions to complex problems Handle multi-step compound proportion scenarios Solve real-world compound proportion problems |
Q/A on advanced compound proportion using complex scenarios
Discussions on multi-variable relationships using practical contexts Solving challenging compound problems using systematic approaches Demonstrations using construction and farming examples Explaining practical applications using community-based scenarios |
Chalk and blackboard, construction/farming examples, exercise books
Chalk and blackboard, sharing demonstration materials, exercise books |
KLB Mathematics Book Three Pg 290-291
|
|
| 8 | 2 |
Compound Proportion and Rates of Work
|
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 Apply proportional parts to complex sharing scenarios Handle business partnership profit sharing Solve advanced proportional distribution problems |
Q/A on complex proportional sharing using business examples
Discussions on partnership profit distribution using practical scenarios Solving advanced proportional problems using systematic methods Demonstrations using business partnership and investment examples Explaining practical applications using meaningful contexts |
Chalk and blackboard, business partnership examples, exercise books
Chalk and blackboard, work scenario examples, exercise books Chalk and blackboard, mixture demonstration materials, exercise books |
KLB Mathematics Book Three Pg 291-293
|
|
| 8 | 3 |
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 | 4 |
Graphical Methods
|
Tables and graphs integration
Introduction to cubic equations Graphical solution of 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 Chalk and blackboard, graph paper, cubic equation examples, exercise books |
KLB Mathematics Book Three Pg 299-300
|
|
| 8 | 5 |
Graphical Methods
|
Advanced cubic solutions
Introduction to rates of change |
By the end of the
lesson, the learner
should be able to:
Draw graphs of cubic equations Apply graphical methods to complex cubic problems Handle multiple root scenarios Verify solutions using graphical analysis |
Q/A on advanced cubic graphing using complex examples
Discussions on multiple root identification using graph analysis Solving challenging cubic problems using systematic methods Demonstrations using detailed cubic constructions Explaining verification methods using graphical checking |
Chalk and blackboard, advanced graph examples, exercise books
Chalk and blackboard, rate calculation examples, exercise books |
KLB Mathematics Book Three Pg 302-304
|
|
| 8 | 6 |
Graphical Methods
|
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 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 Chalk and blackboard, tangent line examples, exercise books |
KLB Mathematics Book Three Pg 304-306
|
|
| 8 | 7 |
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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