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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 1 |
Reporting back to school |
|||||||
| 2 |
Opener exam |
|||||||
| 2 | 4 |
Quadratic Expressions and Equations
|
Factorisation of quadratic expressions
|
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
|
KLB Mathematics Book Three Pg 1
|
|
| 2 | 5 |
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 | 6 |
Quadratic Expressions and Equations
|
Solving quadratic expressions by completing square
Solving quadratic expressions by factorization The quadratic formula 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 Calculators, discriminant interpretation guides |
KLB Mathematics Book Three Pg 5-6
|
|
| 2 | 7 |
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
|
|
| 3 | 1 |
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
|
|
| 3 | 2 |
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
|
|
| 3 | 3 |
Quadratic Expressions and Equations
Approximations and Errors |
Graphical solutions of simultaneous equations
Computing using calculators |
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
Calculators, operation guides |
KLB Mathematics Book Three Pg 19-21
|
|
| 3 | 4 |
Approximations and Errors
|
Computing using calculators
|
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
|
KLB Mathematics Book Three Pg 26-28
|
|
| 3 | 5 |
Approximations and Errors
|
Approximation
Estimation |
By the end of the
lesson, the learner
should be able to:
Approximate values by rounding off Round numbers to specified decimal places Apply rounding rules correctly |
Q/A on rounding concepts
Discussions on rounding techniques Solving rounding problems Demonstrations of rounding methods Explaining rounding rules and applications |
Calculators, rounding charts
Calculators, estimation guides |
KLB Mathematics Book Three Pg 29-30
|
|
| 3 | 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
|
|
| 3 | 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
|
|
| 4 | 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
Calculators, verification worksheets |
KLB Mathematics Book Three Pg 35-36
|
|
| 4 | 2 |
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
|
|
| 4 | 3 |
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
|
|
| 4 | 4 |
Approximations and Errors
|
Propagation of errors in division
Word problems |
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
Calculators, word problem sets, comprehensive review sheets |
KLB Mathematics Book Three Pg 37-38
|
|
| 4 | 5 |
Trigonometry (II)
|
The unit circle
|
By the end of the
lesson, the learner
should be able to:
Draw the unit circle Identify coordinates on the unit circle Understand the unit circle concept |
Q/A on basic circle properties
Discussions on unit circle construction Solving problems using unit circle Demonstrations of circle drawing Explaining unit circle applications |
Calculators, protractors, rulers, pair of compasses
|
KLB Mathematics Book Three Pg 41-42
|
|
| 4 | 6 |
Trigonometry (II)
|
The unit circle
Trigonometric ratios of angles greater than 90° |
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
|
|
| 4 | 7 |
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 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
|
KLB Mathematics Book Three Pg 46-47
|
|
| 5 | 1 |
Trigonometry (II)
|
Trigonometric ratios of negative angles
Trigonometric ratios of angles greater than 360° |
By the end of the
lesson, the learner
should be able to:
Find the trigonometric values of negative angles Apply negative angle identities Solve problems involving negative angles |
Q/A on negative angle concepts
Discussions on angle direction Solving negative angle problems Demonstrations of identity applications Explaining clockwise rotations |
Geoboards, graph books, calculators
|
KLB Mathematics Book Three Pg 48-49
|
|
| 5 | 2 |
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
|
|
| 5 | 3 |
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
|
|
| 5 | 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
|
|
| 5 | 5 |
Trigonometry (II)
|
Graphs of cosines
Graphs of tan |
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
|
|
| 5 | 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
|
|
| 5 | 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
|
|
| 6 | 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
|
|
| 6 | 2 |
Surds
|
Order of surds and simplification
Simplification of surds practice |
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
Calculators, factor trees, simplification worksheets |
KLB Mathematics Book Three Pg 78-79
|
|
| 6 | 3 |
Surds
|
Addition of surds
Subtraction of surds |
By the end of the
lesson, the learner
should be able to:
Add surds with like terms Combine surds of the same order Simplify surd addition expressions |
Q/A on like term concepts
Discussions on surd addition rules Solving addition problems systematically Demonstrations of combining techniques Explaining when surds can be added |
Calculators, addition rule charts
Calculators, subtraction worksheets |
KLB Mathematics Book Three Pg 79-80
|
|
| 6 | 4 |
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
|
|
| 6 | 5 |
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
|
|
| 6 | 6 |
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
|
|
| 6 | 7 |
Further Logarithms
|
Introduction
Laws of logarithms |
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
Calculators, logarithm law charts |
KLB Mathematics Book Three Pg 89
|
|
| 7-8 |
Midterm break and midterm exams |
|||||||
| 8 | 4 |
Further Logarithms
|
Laws of logarithms
|
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 |
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 |
Calculators, advanced law worksheets
Calculators, challenging problem sets |
KLB Mathematics Book Three Pg 90-93
|
|
| 8 | 5 |
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
|
KLB Mathematics Book Three Pg 93-95
|
|
| 8 | 6 |
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
|
|
| 8 | 7 |
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
Calculators, advanced computation guides |
KLB Mathematics Book Three Pg 95-96
|
|
| 9 | 1 |
Further Logarithms
|
Problem solving
|
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
|
KLB Mathematics Book Three Pg 97
|
|
| 9 | 2 |
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 logarithmic concepts to real-world situations Handle practical logarithmic applications |
Q/A on real-world applications
Discussions on practical problem contexts Solving real-world logarithmic problems Demonstrations of practical applications Explaining everyday logarithm usage |
Calculators, real-world application examples
Calculators, simple interest charts |
KLB Mathematics Book Three Pg 97
|
|
| 9 | 3 |
Commercial Arithmetic
|
Simple 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
|
KLB Mathematics Book Three Pg 98-101
|
|
| 9 | 4 |
Commercial Arithmetic
|
Compound interest
|
By the end of the
lesson, the learner
should be able to:
Calculate the compound interest Apply compound interest formula Understand compounding concepts |
Q/A on compound interest principles
Discussions on compounding frequency Solving basic compound interest problems Demonstrations of compound calculations Explaining compounding effects |
Calculators, compound interest tables
Calculators, comparison worksheets |
KLB Mathematics Book Three Pg 102-106
|
|
| 9 | 5 |
Commercial Arithmetic
|
Appreciation
Depreciation |
By the end of the
lesson, the learner
should be able to:
Calculate the appreciation value of items Apply appreciation concepts Solve appreciation problems |
Q/A on appreciation concepts
Discussions on asset value increases Solving appreciation calculation problems Demonstrations of value growth Explaining appreciation applications |
Calculators, appreciation examples
Calculators, depreciation charts |
KLB Mathematics Book Three Pg 108
|
|
| 9 | 6 |
Commercial Arithmetic
|
Hire purchase
|
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
|
KLB Mathematics Book Three Pg 110-112
|
|
| 9 | 7 |
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 Solve complex hire purchase problems Calculate total costs and interest charges |
Q/A on advanced hire purchase scenarios
Discussions on complex payment structures Solving challenging hire purchase problems Demonstrations of cost analysis Explaining consumer finance decisions |
Calculators, complex hire purchase worksheets
Income tax tables, calculators |
KLB Mathematics Book Three Pg 110-112
|
|
| 10 | 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
|
|
| 10 | 2 |
Circles: Chords and Tangents
|
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
|
|
| 10 | 3 |
Circles: Chords and Tangents
|
Parallel chords
Equal 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
|
|
| 10 | 4 |
Circles: Chords and Tangents
|
Intersecting chords
|
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
|
|
| 10 | 5 |
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
|
|
| 10 | 6 |
Circles: Chords and Tangents
|
Tangent to a circle
|
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
|
|
| 10 | 7 |
Circles: Chords and Tangents
|
Properties of tangents to a circle from an external point
|
By the end of the
lesson, the learner
should be able to:
State the properties of tangents to a circle from an external point Apply external tangent properties Solve external tangent problems |
Q/A on external tangent concepts
Discussions on tangent properties Solving external tangent problems Demonstrations of property applications Explaining theoretical foundations |
Geometrical set, calculators
|
KLB Mathematics Book Three Pg 142-144
|
|
| 11 | 1 |
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
|
|
| 11 | 2 |
Circles: Chords and Tangents
|
Tangents to two 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
|
|
| 11 | 3 |
Circles: Chords and Tangents
|
Contact of circles
|
By the end of the
lesson, the learner
should be able to:
Calculate the radii of contact circles Understand external contact properties Compare internal and external contact |
Q/A on external contact concepts
Discussions on contact type differences Solving external contact problems Demonstrations of contact analysis Explaining contact applications |
Geometrical set, calculators
|
KLB Mathematics Book Three Pg 153-154
|
|
| 11 | 4 |
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
|
|
| 11 | 5 |
Circles: Chords and Tangents
|
Angle in alternate segment
|
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
|
|
| 11 | 6 |
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
|
|
| 11 | 7 |
Circles: Chords and Tangents
|
Centroid
Orthocenter Circle and triangle relationships |
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
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| 12-13 |
End of term exams and clossing of the school |
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