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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 2 | 1 |
Vectors (II)
|
Coordinates in two dimensions
Coordinates in three dimensions |
By the end of the
lesson, the learner
should be able to:
Identify the coordinates of a point in two dimensions Plot points on coordinate planes accurately Understand position representation using coordinates Apply coordinate concepts to practical situations |
Q/A on coordinate identification using grid references
Discussions on map reading and location finding Solving coordinate plotting problems using systematic methods Demonstrations using classroom grid systems and floor patterns Explaining coordinate applications using local maps and directions |
Chalk and blackboard, squared paper or grid drawn on ground, exercise books
Chalk and blackboard, 3D models made from sticks and clay, exercise books |
KLB Mathematics Book Three Pg 221-222
|
|
| 2 | 2 |
Vectors (II)
|
Column and position vectors in three dimensions
|
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
|
KLB Mathematics Book Three Pg 223-224
|
|
| 2 | 3 |
Vectors (II)
|
Position vectors and applications
|
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
|
KLB Mathematics Book Three Pg 224
|
|
| 2 | 4 |
Vectors (II)
|
Column vectors in terms of unit vectors i, j, k
Vector operations using unit vectors |
By the end of the
lesson, the learner
should be able to:
Express vectors in terms of unit vectors Convert between column and unit vector notation Understand the standard basis vector system Apply unit vector representation systematically |
Q/A on unit vector concepts using direction examples
Discussions on component representation using organized methods Solving unit vector problems using systematic conversion Demonstrations using perpendicular direction examples Explaining basis vector concepts using coordinate axes |
Chalk and blackboard, direction indicators, unit vector reference charts, exercise books
Chalk and blackboard, component calculation aids, exercise books |
KLB Mathematics Book Three Pg 226-228
|
|
| 2 | 5 |
Vectors (II)
|
Magnitude of a vector in three dimensions
|
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
|
KLB Mathematics Book Three Pg 229-230
|
|
| 2 | 6 |
Vectors (II)
|
Magnitude applications and unit vectors
|
By the end of the
lesson, the learner
should be able to:
Calculate the magnitude of a vector in three dimensions Find unit vectors from given vectors Apply magnitude concepts to practical problems Use magnitude in vector normalization |
Q/A on magnitude and unit vector relationships
Discussions on normalization and direction finding Solving magnitude and unit vector problems Demonstrations using direction and length separation Explaining practical applications using navigation examples |
Chalk and blackboard, direction finding aids, exercise books
|
KLB Mathematics Book Three Pg 229-230
|
|
| 2 | 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
|
|
| 3 | 1 |
Vectors (II)
|
Advanced collinearity applications
|
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
|
KLB Mathematics Book Three Pg 232-234
|
|
| 3 | 2 |
Vectors (II)
|
Proportional division of a line
|
By the end of the
lesson, the learner
should be able to:
Divide a line internally in the given ratio Apply the internal division formula Calculate division points using vector methods Understand proportional division concepts |
Q/A on internal division using systematic formula application
Discussions on ratio division using proportional methods Solving internal division problems using organized approaches Demonstrations using internal point construction examples Explaining internal division using geometric visualization |
Chalk and blackboard, internal division models, exercise books
|
KLB Mathematics Book Three Pg 237-238
|
|
| 3 | 3 |
Vectors (II)
|
External division of a line
Combined internal and external division |
By the end of the
lesson, the learner
should be able to:
Divide a line externally in the given ratio Apply the external division formula Distinguish between internal and external division Solve external division problems accurately |
Q/A on external division using systematic formula application
Discussions on external point calculation using vector methods Solving external division problems using careful approaches Demonstrations using external point construction examples Explaining external division using extended line concepts |
Chalk and blackboard, external division models, exercise books
Chalk and blackboard, combined division models, exercise books |
KLB Mathematics Book Three Pg 238-239
|
|
| 3 | 4 |
Vectors (II)
|
Ratio theorem
|
By the end of the
lesson, the learner
should be able to:
Express position vectors Apply the ratio theorem to geometric problems Use ratio theorem in complex calculations Find position vectors using ratio relationships |
Q/A on ratio theorem application using systematic methods
Discussions on position vector calculation using ratio methods Solving ratio theorem problems using organized approaches Demonstrations using ratio-based position finding Explaining theorem applications using logical reasoning |
Chalk and blackboard, ratio theorem aids, exercise books
|
KLB Mathematics Book Three Pg 240-242
|
|
| 3 | 5 |
Vectors (II)
|
Advanced ratio theorem applications
|
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
|
KLB Mathematics Book Three Pg 242
|
|
| 3 | 6 |
Vectors (II)
|
Mid-point
Ratio theorem and midpoint integration |
By the end of the
lesson, the learner
should be able to:
Find the mid-points of the given vectors Apply midpoint formulas in vector contexts Use midpoint concepts in geometric problems Calculate midpoints systematically |
Q/A on midpoint calculation using vector averaging methods
Discussions on midpoint applications using geometric examples Solving midpoint problems using systematic approaches Demonstrations using midpoint construction and calculation Explaining midpoint concepts using practical examples |
Chalk and blackboard, midpoint demonstration aids, exercise books
Chalk and blackboard, complex problem materials, exercise books |
KLB Mathematics Book Three Pg 243
|
|
| 3 | 7 |
Vectors (II)
|
Advanced ratio theorem applications
|
By the end of the
lesson, the learner
should be able to:
Use ratio theorem to find the given vectors Apply 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
|
KLB Mathematics Book Three Pg 246-248
|
|
| 4 | 1 |
Vectors (II)
|
Applications of vectors in geometry
Rectangle diagonal applications |
By the end of the
lesson, the learner
should be able to:
Use vectors to show the diagonals of a parallelogram Apply vector methods to geometric proofs Demonstrate parallelogram properties using vectors Solve geometric problems using vector techniques |
Q/A on geometric proof using vector methods
Discussions on parallelogram properties using vector analysis Solving geometric problems using systematic vector techniques Demonstrations using vector-based geometric constructions Explaining geometric relationships using vector reasoning |
Chalk and blackboard, parallelogram models, exercise books
Chalk and blackboard, rectangle models, exercise books |
KLB Mathematics Book Three Pg 248-249
|
|
| 4 | 2 |
Vectors (II)
|
Advanced geometric applications
|
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
|
KLB Mathematics Book Three Pg 248-250
|
|
| 4 | 3 |
Quadratic Expressions and Equations
|
Factorisation of quadratic expressions
Completing squares |
By the end of the
lesson, the learner
should be able to:
Factorize quadratic expressions Write the perfect squares Apply factorization methods to solve problems |
Q/A on revision of linear expressions
Discussions on quadratic expression patterns Solving problems using factorization Demonstrations on factorization techniques Explaining step-by-step methods |
Calculators, charts showing factorization patterns
Calculators, factorization method charts Calculators, perfect square charts |
KLB Mathematics Book Three Pg 1
|
|
| 4 | 4 |
Quadratic Expressions and Equations
|
Completing squares
Solving quadratic expressions by completing square Solving quadratic expressions by factorization |
By the end of the
lesson, the learner
should be able to:
Factorize quadratic expression by completing square method Apply completing square to complex expressions Transform expressions to vertex form |
Q/A on completing square basics
Discussions on advanced applications Solving complex expressions Demonstrations of vertex form transformation Explaining complete methodology |
Calculators, vertex form examples
Calculators, equation solving guides Calculators, method selection charts |
KLB Mathematics Book Three Pg 3-4
|
|
| 4 | 5 |
Quadratic Expressions and Equations
|
The quadratic formula
|
By the end of the
lesson, the learner
should be able to:
Solve quadratic expressions using the quadratic formula Apply quadratic formula to any quadratic equation Derive the quadratic formula |
Q/A on formula derivation steps
Discussions on formula applications Solving equations using formula Demonstrations of derivation process Explaining formula structure |
Calculators, formula derivation charts
Calculators, discriminant interpretation guides |
KLB Mathematics Book Three Pg 7-9
|
|
| 4 | 6 |
Quadratic Expressions and Equations
|
Formation of quadratic equations
Graphs of quadratic functions |
By the end of the
lesson, the learner
should be able to:
Form a quadratic equation from word problem Create equations from given roots Apply sum and product of roots |
Q/A on roots and coefficients relationship
Discussions on equation formation Solving word problems leading to equations Demonstrations of equation creation Explaining formation processes |
Calculators, word problem templates
Graph papers, calculators, plotting guides |
KLB Mathematics Book Three Pg 9-10
|
|
| 4 | 7 |
Quadratic Expressions and Equations
|
Graphs of quadratic functions
|
By the end of the
lesson, the learner
should be able to:
Draw graphs of quadratic functions Identify vertex and axis of symmetry Find intercepts from graphs |
Q/A on graph plotting techniques
Discussions on graph features Solving graphing problems Demonstrations of feature identification Explaining graph properties |
Graph papers, calculators, rulers
|
KLB Mathematics Book Three Pg 12-15
|
|
| 5 | 1 |
Quadratic Expressions and Equations
|
Graphical solutions of quadratic equation
|
By the end of the
lesson, the learner
should be able to:
Draw graphs of quadratic functions Solve quadratic equations using the graphs Find roots as x-intercepts |
Q/A on graph-equation relationships
Discussions on graphical solutions Solving equations graphically Demonstrations of root finding Explaining intersection concepts |
Graph papers, calculators, rulers
Graph papers, calculators, estimation guides |
KLB Mathematics Book Three Pg 15-17
|
|
| 5 | 2 |
Quadratic Expressions and Equations
|
Graphical solutions of simultaneous equations
|
By the end of the
lesson, the learner
should be able to:
Draw tables for simultaneous equations Find the graphical solutions of simultaneous equations Solve systems involving quadratic and linear equations |
Q/A on simultaneous equation concepts
Discussions on intersection analysis Solving systems of equations Demonstrations of intersection finding Explaining solution interpretation |
Graph papers, calculators, intersection analysis guides
|
KLB Mathematics Book Three Pg 19-21
|
|
| 5 | 3 |
Approximations and Errors
|
Computing using calculators
|
By the end of the
lesson, the learner
should be able to:
Solve basic operations using calculators Use calculator functions effectively Apply calculator to mathematical computations |
Q/A on calculator familiarity
Discussions on calculator operations Solving basic arithmetic problems Demonstrations of calculator functions Explaining proper calculator usage |
Calculators, operation guides
|
KLB Mathematics Book Three Pg 24-26
|
|
| 5 | 4 |
Approximations and Errors
|
Computing using calculators
Approximation |
By the end of the
lesson, the learner
should be able to:
Solve basic operations using calculators Perform complex calculations accurately Verify calculator results |
Q/A on calculator accuracy
Discussions on verification methods Solving complex computational problems Demonstrations of result checking Explaining calculation verification |
Calculators, verification worksheets
Calculators, rounding charts |
KLB Mathematics Book Three Pg 26-28
|
|
| 5 | 5 |
Approximations and Errors
|
Estimation
|
By the end of the
lesson, the learner
should be able to:
Approximate values by truncation Estimate values using appropriate methods Compare estimation techniques |
Q/A on estimation strategies
Discussions on truncation vs rounding Solving estimation problems Demonstrations of truncation methods Explaining when to use different techniques |
Calculators, estimation guides
|
KLB Mathematics Book Three Pg 30
|
|
| 5 | 6 |
Approximations and Errors
|
Accuracy and errors
|
By the end of the
lesson, the learner
should be able to:
Find the absolute error Calculate relative error Distinguish between different error types |
Q/A on error concepts
Discussions on error calculations Solving absolute and relative error problems Demonstrations of error computation Explaining error significance |
Calculators, error calculation sheets
|
KLB Mathematics Book Three Pg 31-32
|
|
| 5 | 7 |
Approximations and Errors
|
Percentage error
Rounding off error and truncation error |
By the end of the
lesson, the learner
should be able to:
Find the percentage error of a given value Calculate percentage error accurately Interpret percentage error results |
Q/A on percentage concepts
Discussions on percentage error meaning Solving percentage error problems Demonstrations of percentage calculations Explaining error interpretation |
Calculators, percentage error worksheets
Calculators, error comparison charts |
KLB Mathematics Book Three Pg 32-34
|
|
| 6 | 1 |
Approximations and Errors
|
Propagation of errors
|
By the end of the
lesson, the learner
should be able to:
Find the propagation of errors in addition and subtraction Calculate combined errors Apply error propagation rules |
Q/A on error propagation concepts
Discussions on addition/subtraction errors Solving error propagation problems Demonstrations of error combination Explaining propagation principles |
Calculators, error propagation guides
|
KLB Mathematics Book Three Pg 35-36
|
|
| 6 | 2 |
Approximations and Errors
|
Propagation of errors
|
By the end of the
lesson, the learner
should be able to:
Find the propagation of errors in addition and subtraction Apply error propagation to complex problems Verify error calculations |
Q/A on propagation mastery
Discussions on complex error scenarios Solving advanced propagation problems Demonstrations of verification methods Explaining error validation |
Calculators, verification worksheets
|
KLB Mathematics Book Three Pg 35-36
|
|
| 6 | 3 |
Approximations and Errors
|
Propagation of errors in multiplication
|
By the end of the
lesson, the learner
should be able to:
Find the propagation of errors in multiplication Calculate relative errors in products Apply multiplication error rules |
Q/A on multiplication error concepts
Discussions on product error calculation Solving multiplication error problems Demonstrations of relative error computation Explaining multiplication error principles |
Calculators, multiplication error guides
Calculators, method comparison charts |
KLB Mathematics Book Three Pg 36-37
|
|
| 6 | 4 |
Approximations and Errors
|
Propagation of errors in division
|
By the end of the
lesson, the learner
should be able to:
Find the propagation of errors in division Calculate errors in quotients Apply division error rules |
Q/A on division error concepts
Discussions on quotient error calculation Solving division error problems Demonstrations of division error methods Explaining division error principles |
Calculators, division error worksheets
|
KLB Mathematics Book Three Pg 37-38
|
|
| 6 | 5 |
Approximations and Errors
|
Propagation of errors in division
|
By the end of the
lesson, the learner
should be able to:
Find the propagation of errors in division Solve complex division error problems Verify division error calculations |
Q/A on division error mastery
Discussions on complex division scenarios Solving advanced division error problems Demonstrations of error verification Explaining accuracy in division errors |
Calculators, verification guides
|
KLB Mathematics Book Three Pg 37-38
|
|
| 6 | 6 |
Approximations and Errors
Trigonometry (II) |
Word problems
The unit circle |
By the end of the
lesson, the learner
should be able to:
Find the propagation of errors of a word problem Apply error analysis to real-world situations Solve comprehensive error problems |
Q/A on chapter consolidation
Discussions on real-world applications Solving comprehensive word problems Demonstrations of problem-solving strategies Explaining practical error analysis |
Calculators, word problem sets, comprehensive review sheets
Calculators, protractors, rulers, pair of compasses |
KLB Mathematics Book Three Pg 39-40
|
|
| 6 | 7 |
Trigonometry (II)
|
The unit circle
|
By the end of the
lesson, the learner
should be able to:
Solve problems using the unit circle Apply unit circle to find trigonometric values Use unit circle for angle measurement |
Q/A on unit circle mastery
Discussions on practical applications Solving trigonometric problems Demonstrations of value finding Explaining angle relationships |
Calculators, protractors, rulers, pair of compasses
|
KLB Mathematics Book Three Pg 43-44
|
|
| 7 | 1 |
Trigonometry (II)
|
Trigonometric ratios of angles greater than 90°
|
By the end of the
lesson, the learner
should be able to:
Find the trigonometric values of angles Calculate trigonometric ratios for obtuse angles Apply reference angle concepts |
Q/A on basic trigonometric ratios
Discussions on angle extensions Solving obtuse angle problems Demonstrations of reference angles Explaining quadrant relationships |
Calculators, protractors, rulers, pair of compasses
|
KLB Mathematics Book Three Pg 44-45
|
|
| 7 | 2 |
Trigonometry (II)
|
Trigonometric ratios of angles greater than 90°
Trigonometric ratios of negative angles |
By the end of the
lesson, the learner
should be able to:
Find the trigonometric values of angles Solve problems with angles in different quadrants Apply ASTC rule for sign determination |
Q/A on quadrant properties
Discussions on sign conventions Solving multi-quadrant problems Demonstrations of ASTC rule Explaining trigonometric signs |
Calculators, quadrant charts
Geoboards, graph books, calculators |
KLB Mathematics Book Three Pg 46-47
|
|
| 7 |
Mid term exams |
|||||||
| 8 | 1 |
Trigonometry (II)
|
Trigonometric ratios of angles greater than 360°
|
By the end of the
lesson, the learner
should be able to:
Find the trigonometric values of angles greater than 360° Apply coterminal angle concepts Reduce angles to standard position |
Q/A on angle reduction concepts
Discussions on coterminal angles Solving extended angle problems Demonstrations of angle reduction Explaining periodic properties |
Geoboards, graph books, calculators
|
KLB Mathematics Book Three Pg 49-51
|
|
| 8 |
Half term break |
|||||||
| 9 | 1 |
Trigonometry (II)
|
Use of mathematical tables
|
By the end of the
lesson, the learner
should be able to:
Use mathematical tables to find sine and cosine Read trigonometric tables accurately Apply table interpolation methods |
Q/A on table reading skills
Discussions on table structure Solving problems using tables Demonstrations of interpolation Explaining table accuracy |
Mathematical tables, calculators
|
KLB Mathematics Book Three Pg 51-55
|
|
| 9 | 2 |
Trigonometry (II)
|
Use of calculators
|
By the end of the
lesson, the learner
should be able to:
Use calculators to find sine, cosine and tan Apply calculator functions for trigonometry Verify calculator accuracy |
Q/A on calculator trigonometric functions
Discussions on calculator modes Solving problems using calculators Demonstrations of function keys Explaining degree vs radian modes |
Calculators, function guides
|
KLB Mathematics Book Three Pg 56-58
|
|
| 9 | 3 |
Trigonometry (II)
|
Radian measure
|
By the end of the
lesson, the learner
should be able to:
Convert degrees to radians and vice versa Apply radian measure in calculations Understand radian-degree relationships |
Q/A on angle measurement systems
Discussions on radian concepts Solving conversion problems Demonstrations of conversion methods Explaining radian applications |
Calculators, conversion charts
|
KLB Mathematics Book Three Pg 58-61
|
|
| 9 | 4 |
Trigonometry (II)
|
Simple trigonometric graphs
Graphs of cosines |
By the end of the
lesson, the learner
should be able to:
Draw tables for sine of values Plot graphs of sine functions Identify sine graph properties |
Q/A on coordinate graphing
Discussions on periodic functions Solving graphing problems Demonstrations of sine plotting Explaining graph characteristics |
Calculators, graph papers, plotting guides
|
KLB Mathematics Book Three Pg 62-63
|
|
| 9 | 5 |
Trigonometry (II)
|
Graphs of tan
|
By the end of the
lesson, the learner
should be able to:
Draw tables for tan of values Plot graphs of tan functions Identify asymptotes and discontinuities |
Q/A on tangent behavior
Discussions on function domains Solving tangent graphing problems Demonstrations of asymptote identification Explaining discontinuous functions |
Calculators, graph papers, plotting guides
|
KLB Mathematics Book Three Pg 64-65
|
|
| 9 | 6 |
Trigonometry (II)
|
The sine rule
|
By the end of the
lesson, the learner
should be able to:
State the sine rule Apply sine rule to find solution of triangles Solve triangles using sine rule |
Q/A on triangle properties
Discussions on sine rule applications Solving triangle problems Demonstrations of rule application Explaining ambiguous case |
Calculators, triangle worksheets
|
KLB Mathematics Book Three Pg 65-70
|
|
| 9 | 7 |
Trigonometry (II)
|
Cosine rule
Problem solving |
By the end of the
lesson, the learner
should be able to:
State the cosine rule Apply cosine rule to find solution of triangles Choose appropriate rule for triangle solving |
Q/A on cosine rule concepts
Discussions on rule selection Solving complex triangle problems Demonstrations of cosine rule Explaining when to use each rule |
Calculators, triangle worksheets
Calculators, comprehensive problem sets, real-world examples |
KLB Mathematics Book Three Pg 71-75
|
|
| 10 | 1 |
Surds
|
Rational and irrational numbers
|
By the end of the
lesson, the learner
should be able to:
Classify numbers as rational and irrational numbers Identify rational and irrational numbers Distinguish between rational and irrational forms |
Q/A on number classification concepts
Discussions on rational vs irrational properties Solving classification problems Demonstrations of number identification Explaining decimal representations |
Calculators, number classification charts
|
KLB Mathematics Book Three Pg 78
|
|
| 10 | 2 |
Surds
|
Order of surds and simplification
|
By the end of the
lesson, the learner
should be able to:
State the order of surds Identify surd orders correctly Simplify surds to lowest terms |
Q/A on surd definition and properties
Discussions on surd order concepts Solving order identification problems Demonstrations of surd simplification Explaining simplification techniques |
Calculators, surd order examples
|
KLB Mathematics Book Three Pg 78-79
|
|
| 10 | 3 |
Surds
|
Simplification of surds practice
Addition of surds |
By the end of the
lesson, the learner
should be able to:
Simplify surds using factorization Express surds in simplest form Apply systematic simplification methods |
Q/A on factorization techniques
Discussions on factor identification Solving extensive simplification problems Demonstrations of step-by-step methods Explaining perfect square extraction |
Calculators, factor trees, simplification worksheets
Calculators, addition rule charts |
KLB Mathematics Book Three Pg 79-80
|
|
| 10 | 4 |
Surds
|
Subtraction of surds
|
By the end of the
lesson, the learner
should be able to:
Subtract surds with like terms Apply subtraction rules to surds Simplify surd subtraction expressions |
Q/A on subtraction principles
Discussions on surd subtraction methods Solving subtraction problems Demonstrations of systematic approaches Explaining subtraction verification |
Calculators, subtraction worksheets
|
KLB Mathematics Book Three Pg 80
|
|
| 10 | 5 |
Surds
|
Multiplication of surds
|
By the end of the
lesson, the learner
should be able to:
Multiply surds of the same order Apply multiplication rules to surds Simplify products of surds |
Q/A on multiplication concepts
Discussions on surd multiplication laws Solving multiplication problems Demonstrations of product simplification Explaining multiplication principles |
Calculators, multiplication rule guides
|
KLB Mathematics Book Three Pg 80-82
|
|
| 10 | 6 |
Surds
|
Division of surds
Rationalizing the denominator |
By the end of the
lesson, the learner
should be able to:
Divide surds of the same order Apply division rules to surds Simplify quotients of surds |
Q/A on division concepts
Discussions on surd division methods Solving division problems systematically Demonstrations of quotient simplification Explaining division techniques |
Calculators, division worksheets
Calculators, rationalization guides |
KLB Mathematics Book Three Pg 81-82
|
|
| 10 | 7 |
Surds
|
Advanced rationalization techniques
|
By the end of the
lesson, the learner
should be able to:
Rationalize complex expressions Apply advanced rationalization methods Handle multiple term denominators |
Q/A on complex rationalization
Discussions on advanced techniques Solving challenging rationalization problems Demonstrations of sophisticated methods Explaining complex denominator handling |
Calculators, advanced technique sheets
|
KLB Mathematics Book Three Pg 85-87
|
|
| 11-12 |
End term 1 exams |
|||||||
| 13 |
Marking, analysis and closing |
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