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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 1 | 4 |
Vectors
|
Definition and Representation of vectors
|
By the end of the
lesson, the learner
should be able to:
define a vector and a scalar, use vector notation and represent vectors. |
Writing position vectors
Adding/subtracting numbers Squaring and getting the square root of numbers |
1x2 matrices
Graph papers Square boards Ruler |
KLB Maths Bk2 Pg. 284-285
|
|
| 1 | 5 |
Vectors
|
Equivalent vectors
Addition of vectors Multiplication of vectors |
By the end of the
lesson, the learner
should be able to:
identify equivalent vectors |
Writing position vectors
Adding/subtracting numbers Squaring and getting the square root of numbers |
1x2 matrices
Graph papers Square boards Ruler |
KLB Maths Bk2 Pg. 285
|
|
| 1 | 6 |
Vectors
|
Position vectors
Column vector Magnitude of a vector |
By the end of the
lesson, the learner
should be able to:
define a position vector illustrate position vectors on a Cartesian plane |
Writing position vectors
Adding/subtracting numbers Squaring and getting the square root of numbers |
1x2 matrices
Graph papers Square boards Ruler |
KLB Maths Bk2 Pg.298
|
|
| 2 | 1 |
Vectors
Quadratic Expressions and Equations |
Mid - point
Translation vector Factorisation of quadratic expressions |
By the end of the
lesson, the learner
should be able to:
calculate the midpoint of a vector |
Writing position vectors
Adding/subtracting numbers Squaring and getting the square root of numbers |
1x2 matrices
Graph papers Square boards Ruler Calculators, charts showing factorization patterns |
KLB Maths Bk2 Pg. 302
|
|
| 2 | 2 |
Quadratic Expressions and Equations
|
Factorisation of quadratic expressions
Completing squares Completing squares |
By the end of the
lesson, the learner
should be able to:
Factorize quadratic expressions using different methods Identify common factors in expressions Apply grouping method to factorize |
Q/A on previous lesson concepts
Discussions on advanced factorization Solving complex factorization problems Demonstrations of grouping methods Explaining various factorization techniques |
Calculators, factorization method charts
Calculators, perfect square charts Calculators, vertex form examples |
KLB Mathematics Book Three Pg 1-2
|
|
| 2 |
CYCLE ONE EXAMS |
|||||||
| 3 | 1 |
Quadratic Expressions and Equations
|
Solving quadratic expressions by completing square
Solving quadratic expressions by factorization The quadratic formula |
By the end of the
lesson, the learner
should be able to:
Solve quadratic expressions by completing square Apply completing square method to equations Verify solutions by substitution |
Q/A on equation solving methods
Discussions on systematic solving approach Solving equations step-by-step Demonstrations of verification methods Explaining solution processes |
Calculators, equation solving guides
Calculators, method selection charts Calculators, formula derivation charts |
KLB Mathematics Book Three Pg 5-6
|
|
| 3 | 2-3 |
Quadratic Expressions and Equations
|
The quadratic formula
Formation of quadratic equations Graphs of quadratic functions |
By the end of the
lesson, the learner
should be able to:
Solve quadratic expressions using the quadratic formula Apply formula to complex coefficients Interpret discriminant values Draw a table of the quadratic functions Plot coordinates accurately Construct systematic value tables |
Q/A on formula mastery
Discussions on discriminant meaning Solving complex equations Demonstrations of discriminant analysis Explaining nature of roots Q/A on coordinate geometry basics Discussions on table construction Solving plotting problems Demonstrations of systematic plotting Explaining table creation methods |
Calculators, discriminant interpretation guides
Calculators, word problem templates Graph papers, calculators, plotting guides Graph papers, calculators, rulers |
KLB Mathematics Book Three Pg 7-9
KLB Mathematics Book Three Pg 12-15 |
|
| 3 | 4 |
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
|
KLB Mathematics Book Three Pg 15-17
|
|
| 3 | 5 |
Quadratic Expressions and Equations
|
Graphical solutions of quadratic equation
Graphical solutions of simultaneous equations |
By the end of the
lesson, the learner
should be able to:
Solve quadratic equations using the graphs Verify algebraic solutions graphically Estimate solutions from graphs |
Q/A on solution verification
Discussions on estimation techniques Solving complex graphical problems Demonstrations of verification methods Explaining accuracy in estimation |
Graph papers, calculators, estimation guides
Graph papers, calculators, intersection analysis guides |
KLB Mathematics Book Three Pg 17-19
|
|
| 3 | 6 |
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
|
|
| 4 | 1 |
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
|
|
| 4 | 2-3 |
Approximations and Errors
|
Estimation
Accuracy and errors Percentage error |
By the end of the
lesson, the learner
should be able to:
Approximate values by truncation Estimate values using appropriate methods Compare estimation techniques Find the absolute error Calculate relative error Distinguish between different error types |
Q/A on estimation strategies
Discussions on truncation vs rounding Solving estimation problems Demonstrations of truncation methods Explaining when to use different techniques Q/A on error concepts Discussions on error calculations Solving absolute and relative error problems Demonstrations of error computation Explaining error significance |
Calculators, estimation guides
Calculators, error calculation sheets Calculators, percentage error worksheets |
KLB Mathematics Book Three Pg 30
KLB Mathematics Book Three Pg 31-32 |
|
| 4 | 4 |
Approximations and Errors
|
Rounding off error and truncation error
|
By the end of the
lesson, the learner
should be able to:
Find the rounding off error Calculate truncation error Compare rounding and truncation errors |
Q/A on error types
Discussions on error sources Solving rounding and truncation error problems Demonstrations of error comparison Explaining error analysis |
Calculators, error comparison charts
|
KLB Mathematics Book Three Pg 34
|
|
| 4 | 5 |
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
Calculators, verification worksheets |
KLB Mathematics Book Three Pg 35-36
|
|
| 4 | 6 |
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
|
KLB Mathematics Book Three Pg 36-37
|
|
| 5 | 1 |
Approximations and Errors
|
Propagation of errors in multiplication
Propagation of errors in division |
By the end of the
lesson, the learner
should be able to:
Find the propagation of errors in multiplication Solve complex multiplication error problems Compare different error propagation methods |
Q/A on advanced multiplication errors
Discussions on complex error scenarios Solving challenging multiplication problems Demonstrations of method comparison Explaining optimal error calculation |
Calculators, method comparison charts
Calculators, division error worksheets |
KLB Mathematics Book Three Pg 36-37
|
|
| 5 | 2-3 |
Approximations and Errors
Approximations and Errors Trigonometry (II) |
Propagation of errors in division
Word problems The unit circle |
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 Find the propagation of errors of a word problem Apply error analysis to real-world situations Solve comprehensive error problems |
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 Q/A on chapter consolidation Discussions on real-world applications Solving comprehensive word problems Demonstrations of problem-solving strategies Explaining practical error analysis |
Calculators, verification guides
Calculators, word problem sets, comprehensive review sheets Calculators, protractors, rulers, pair of compasses |
KLB Mathematics Book Three Pg 37-38
KLB Mathematics Book Three Pg 39-40 |
|
| 5 | 4 |
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
|
|
| 5 | 5 |
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
|
|
| 5 | 6 |
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
|
|
| 6 | 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
|
|
| 6 | 2-3 |
Trigonometry (II)
|
Use of mathematical tables
Use of calculators |
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 Use calculators to find sine, cosine and tan Apply calculator functions for trigonometry Verify calculator accuracy |
Q/A on table reading skills
Discussions on table structure Solving problems using tables Demonstrations of interpolation Explaining table accuracy Q/A on calculator trigonometric functions Discussions on calculator modes Solving problems using calculators Demonstrations of function keys Explaining degree vs radian modes |
Mathematical tables, calculators
Calculators, function guides |
KLB Mathematics Book Three Pg 51-55
KLB Mathematics Book Three Pg 56-58 |
|
| 6 | 4 |
Trigonometry (II)
|
Radian measure
Simple trigonometric graphs |
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
Calculators, graph papers, plotting guides |
KLB Mathematics Book Three Pg 58-61
|
|
| 6 | 5 |
Trigonometry (II)
|
Graphs of cosines
|
By the end of the
lesson, the learner
should be able to:
Draw tables for cosine of values Plot graphs of cosine functions Compare sine and cosine graphs |
Q/A on cosine properties
Discussions on graph relationships Solving cosine graphing problems Demonstrations of cosine plotting Explaining phase relationships |
Calculators, graph papers, plotting guides
|
KLB Mathematics Book Three Pg 63-64
|
|
| 6 | 6 |
Trigonometry (II)
|
Graphs of tan
The sine rule |
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
Calculators, triangle worksheets |
KLB Mathematics Book Three Pg 64-65
|
|
| 7 | 1 |
Trigonometry (II)
|
Cosine rule
|
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
|
KLB Mathematics Book Three Pg 71-75
|
|
| 7 | 2 |
Trigonometry (II)
Surds |
Problem solving
Rational and irrational numbers |
By the end of the
lesson, the learner
should be able to:
Solve problems on cosines, sines and tan Apply trigonometry to real-world situations Integrate all trigonometric concepts |
Q/A on chapter consolidation
Discussions on practical applications Solving comprehensive problems Demonstrations of problem-solving strategies Explaining real-world trigonometry |
Calculators, comprehensive problem sets, real-world examples
Calculators, number classification charts |
KLB Mathematics Book Three Pg 76-77
|
|
| 7 |
PEAK EXAMINATION |
|||||||
| 8 | 1 |
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
|
|
| 8 | 2-3 |
Surds
|
Simplification of surds practice
Addition of surds Subtraction 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 Subtract surds with like terms Apply subtraction rules to surds Simplify surd subtraction expressions |
Q/A on factorization techniques
Discussions on factor identification Solving extensive simplification problems Demonstrations of step-by-step methods Explaining perfect square extraction Q/A on subtraction principles Discussions on surd subtraction methods Solving subtraction problems Demonstrations of systematic approaches Explaining subtraction verification |
Calculators, factor trees, simplification worksheets
Calculators, addition rule charts Calculators, subtraction worksheets |
KLB Mathematics Book Three Pg 79-80
KLB Mathematics Book Three Pg 80 |
|
| 8 | 4 |
Surds
|
Multiplication of surds
Division 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
Calculators, division worksheets |
KLB Mathematics Book Three Pg 80-82
|
|
| 8 | 5 |
Surds
|
Rationalizing the denominator
|
By the end of the
lesson, the learner
should be able to:
Rationalize the denominator of fractions Apply rationalization techniques Simplify expressions with surd denominators |
Q/A on rationalization concepts
Discussions on denominator clearing Solving rationalization problems Demonstrations of conjugate methods Explaining rationalization importance |
Calculators, rationalization guides
|
KLB Mathematics Book Three Pg 85-87
|
|
| 8 | 6 |
Surds
Further Logarithms |
Advanced rationalization techniques
Introduction |
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
Calculators, logarithm definition charts |
KLB Mathematics Book Three Pg 85-87
|
|
| 9 | 1 |
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
|
KLB Mathematics Book Three Pg 90-93
|
|
| 9 | 2-3 |
Further Logarithms
|
Laws of logarithms
Logarithmic equations and expressions |
By the end of the
lesson, the learner
should be able to:
Use laws of logarithms to solve problems Apply advanced logarithmic laws Combine multiple laws in calculations Solve the logarithmic equations and expressions Apply algebraic methods to logarithmic equations Verify solutions of logarithmic equations |
Q/A on law mastery and applications
Discussions on power and root laws Solving complex law-based problems Demonstrations of combined law usage Explaining advanced law techniques Q/A on equation-solving techniques Discussions on logarithmic equation types Solving basic logarithmic equations Demonstrations of solution methods Explaining verification techniques |
Calculators, advanced law worksheets
Calculators, challenging problem sets Calculators, equation-solving guides |
KLB Mathematics Book Three Pg 90-93
KLB Mathematics Book Three Pg 93-95 |
|
| 9 | 4 |
Further Logarithms
|
Logarithmic equations and expressions
Further computation using logarithms |
By the end of the
lesson, the learner
should be able to:
Solve the logarithmic equations and expressions Handle complex logarithmic equations Apply advanced solution techniques |
Q/A on advanced equation methods
Discussions on complex equation structures Solving challenging logarithmic equations Demonstrations of sophisticated techniques Explaining advanced solution strategies |
Calculators, advanced equation worksheets
Calculators, computation worksheets |
KLB Mathematics Book Three Pg 93-95
|
|
| 9 | 5 |
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 intermediate calculations Handle multi-step logarithmic computations |
Q/A on intermediate computational skills
Discussions on multi-step processes Solving intermediate computation problems Demonstrations of systematic approaches Explaining step-by-step methods |
Calculators, intermediate problem sets
|
KLB Mathematics Book Three Pg 95-96
|
|
| 9 | 6 |
Further Logarithms
|
Further computation using logarithms
Problem solving Problem solving |
By the end of the
lesson, the learner
should be able to:
Solve problems involving logarithms Master advanced logarithmic computations Apply logarithms to complex mathematical scenarios |
Q/A on advanced computational mastery
Discussions on complex calculation strategies Solving advanced computation problems Demonstrations of sophisticated methods Explaining optimal computational approaches |
Calculators, advanced computation guides
Calculators, comprehensive problem sets Calculators, real-world application examples |
KLB Mathematics Book Three Pg 95-96
|
|
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