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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 2 | 1 |
Linear Motion
|
Displacement, velocity, speed and acceleration
|
By the end of the
lesson, the learner
should be able to:
Define displacement, speed velocity and acceleration |
Teacher/pupil discussion
Plotting graphs Drawing graphs |
Graph papers
Stones Pieces of paper |
KLB Maths Bk2 Pg. 228-238
|
|
| 2 | 2 |
Linear Motion
|
Distinguishing terms
Distinguishing velocity and acceleration |
By the end of the
lesson, the learner
should be able to:
distinguish between distance and displacement, speed and velocity |
Plotting graphs
Drawing graphs |
Graph papers
Stones Pieces of paper |
KLB Maths Bk2 Pg. 228-238
|
|
| 2 | 3 |
Linear Motion
|
Distance time graphs
Interpret the velocity time graph |
By the end of the
lesson, the learner
should be able to:
plot and draw the distance time graphs |
Plotting graphs
Drawing graphs |
Graph papers
Stones Pieces of paper Drawn graphs |
KLB Maths Bk2 Pg. 228-238
|
|
| 2 | 4 |
Linear Motion
|
Interpreting graphs
Relative speed (objects moving in the same direction) Problem solving |
By the end of the
lesson, the learner
should be able to:
interpret graphs of linear motion |
Learners interpret graphs
|
Drawn graphs
Real life situation Chalkboard illustrations Past paper questions |
KLB
Maths Bk2 Pg.334 |
|
| 2 | 5 |
Statistics
|
Definition
Collection and organization of data |
By the end of the
lesson, the learner
should be able to:
define statistics |
Collecting data
Measuring length/mass/age Drawing graphs Drawing tables Using symbols to represent data Discussion |
Weighing balance
Ruler Tape measure Pieces of stick Arm length Foot length Graph papers |
KLB Maths Bk2 Pg. 241-252
|
|
| 2 | 6 |
Statistics
|
Frequency tables
Grouped data |
By the end of the
lesson, the learner
should be able to:
draw a frequency distribution table |
Collecting data
Measuring length/mass/age Drawing graphs Drawing tables Using symbols to represent data Discussion |
Weighing balance
Ruler Tape measure Pieces of stick Arm length Foot length Graph papers |
KLB Maths Bk2 Pg. 241-252
|
|
| 2 | 7 |
Statistics
|
Mean of ungrouped data
Median of ungrouped data |
By the end of the
lesson, the learner
should be able to:
calculate the mean of ungrouped data |
Collecting data
Measuring length/mass/age Drawing graphs Drawing tables Using symbols to represent data Discussion |
Weighing balance
Ruler Tape measure Pieces of stick Arm length Foot length Graph papers |
KLB Maths Bk2 Pg. 241-252
|
|
| 3 | 1 |
Statistics
|
Mean of ungrouped data
Median of a grouped data modal class Data Representation. Line graphs |
By the end of the
lesson, the learner
should be able to:
calculate the mean of a grouped data |
Collecting data
Measuring length/mass/age Drawing graphs Drawing tables Using symbols to represent data Discussion |
Weighing balance
Ruler Tape measure Pieces of stick Arm length Foot length Graph papers |
KLB Maths Bk2 Pg. 241-252
|
|
| 3 | 2 |
Statistics
|
Bar graphs
Pictogram |
By the end of the
lesson, the learner
should be able to:
represent data in form of a bar graph |
Collecting data
Measuring length/mass/age Drawing graphs Drawing tables Using symbols to represent data Discussion |
Weighing balance
Ruler Tape measure Pieces of stick Arm length Foot length Graph papers Pictures which are whole, half, quarter |
KLB Maths Bk2 Pg. 241-252
|
|
| 3 | 3 |
Statistics
|
Histograms
Frequency polygons |
By the end of the
lesson, the learner
should be able to:
represent data in form of histograms |
Collecting data
Measuring length/mass/age Drawing graphs Drawing tables Using symbols to represent data Discussion |
Weighing balance
Ruler Tape measure Pieces of stick Arm length Foot length Graph papers Histograms drawn. Data |
KLB Maths Bk2 Pg. 241-252
|
|
| 3 | 4 |
Statistics
|
Histograms with uneven distribution
Interpretation of data Problem solving |
By the end of the
lesson, the learner
should be able to:
draw histograms with uneven distribution |
Collecting data
Measuring length/mass/age Drawing graphs Drawing tables Using symbols to represent data Discussion |
Data with uneven classes
Real life situations Past paper questions |
KLB Maths Bk2 Pg. 241-252
|
|
| 3 | 5 |
Angle Properties of a Circle
|
Arc chord segment
Angles subtended by the same arc in the same segment |
By the end of the
lesson, the learner
should be able to:
identify an arc, chord and segment |
Discussions
Drawing circles Measuring radii/ diameters/angles Identifying the parts of a circle |
Chart illustrating arc chord and segment
Chart illustrating Angles subtended by the same arc in same segment are equal |
KLB Maths Bk2 Pg. 264-278
|
|
| 3 | 6 |
Angle Properties of a Circle
|
Angle at the centre and at the circumference
Angles subtended by the diameter at the circumference |
By the end of the
lesson, the learner
should be able to:
relate and compute angle subtended by an arc of a centre and at the circumference |
Discussions
Drawing circles Measuring radii/diameters/angles Identifying the parts of a circle |
Chart illustrating Angles subtended at the centre by an arc and one subtended at the circumference
Circles showing the different parts |
KLB Maths Bk2 Pg. 264-278
|
|
| 3 | 7 |
Angle Properties of a Circle
|
Cyclic quadrilateral
Exterior angle property |
By the end of the
lesson, the learner
should be able to:
state the angle properties of a cyclic quadrilateral |
Discussions
Drawing circles Measuring radii/diameters/angles Identifying the parts of a circle |
Circles showing the
different parts |
KLB Maths Bk2 Pg. 264-278
|
|
| 4 | 1 |
Angle Properties of a Circle
|
Problem solving
Problem solving |
By the end of the
lesson, the learner
should be able to:
solve problems on angle properties of a circle |
Discussions
Drawing circles Measuring radii/diameters/angles Identifying the parts of a circle |
Circles showing the
different parts Past paper questions different parts Past paper questions |
KLB Maths Bk2 Pg. 264-278
|
|
| 4 | 2 |
Vectors
|
Definition and Representation of vectors
Equivalent 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
|
|
| 4 | 3 |
Vectors
|
Addition of vectors
Multiplication of vectors |
By the end of the
lesson, the learner
should be able to:
add 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. 286-289
|
|
| 4 | 4 |
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
|
|
| 4 | 5 |
Vectors
|
Mid - point
Translation vector |
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 |
KLB Maths Bk2 Pg. 302
|
|
| 4 | 6 |
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
Calculators, factorization method charts |
KLB Mathematics Book Three Pg 1
|
|
| 4 | 7 |
Quadratic Expressions and Equations
|
Completing squares
Solving quadratic expressions by completing square |
By the end of the
lesson, the learner
should be able to:
Complete the square for quadratic expressions Write expressions in perfect square form Identify missing terms in completing squares |
Q/A on perfect square patterns
Discussions on completing square concept Solving problems by completing squares Demonstrations of completing square method Explaining systematic approach |
Calculators, perfect square charts
Calculators, vertex form examples Calculators, equation solving guides |
KLB Mathematics Book Three Pg 1-2
|
|
| 5 | 1 |
Quadratic Expressions and Equations
|
Solving quadratic expressions by factorization
The quadratic formula |
By the end of the
lesson, the learner
should be able to:
Solve quadratic expressions by factorization Apply zero product property Choose appropriate factorization method |
Q/A on factorization techniques
Discussions on solving strategies Solving equations using factorization Demonstrations of zero product rule Explaining method selection |
Calculators, method selection charts
Calculators, formula derivation charts |
KLB Mathematics Book Three Pg 7
|
|
| 5 | 2 |
Quadratic Expressions and Equations
|
The quadratic formula
Formation of quadratic equations |
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 |
Q/A on formula mastery
Discussions on discriminant meaning Solving complex equations Demonstrations of discriminant analysis Explaining nature of roots |
Calculators, discriminant interpretation guides
Calculators, word problem templates |
KLB Mathematics Book Three Pg 7-9
|
|
| 5 | 3 |
Quadratic Expressions and Equations
|
Graphs of quadratic functions
|
By the end of the
lesson, the learner
should be able to:
Draw a table of the quadratic functions Plot coordinates accurately Construct systematic value tables |
Q/A on coordinate geometry basics
Discussions on table construction Solving plotting problems Demonstrations of systematic plotting Explaining table creation methods |
Graph papers, calculators, plotting guides
|
KLB Mathematics Book Three Pg 12-15
|
|
| 5 | 4 |
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 | 5 |
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
|
|
| 5 | 6 |
Quadratic Expressions and Equations
|
Graphical solutions of quadratic equation
|
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
|
KLB Mathematics Book Three Pg 17-19
|
|
| 5 | 7 |
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
|
|
| 6 | 1 |
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
|
|
| 6 | 2 |
Approximations and Errors
|
Approximation
|
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
|
KLB Mathematics Book Three Pg 29-30
|
|
| 6 | 3 |
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
|
|
| 6 | 4 |
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
|
|
| 6 | 5 |
Approximations and Errors
|
Percentage 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
|
KLB Mathematics Book Three Pg 32-34
|
|
| 6 | 6 |
Approximations and Errors
|
Rounding off error and truncation error
Propagation of errors |
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
Calculators, error propagation guides |
KLB Mathematics Book Three Pg 34
|
|
| 6 | 7 |
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
|
|
| 7 | 1 |
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
|
|
| 7 | 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 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
|
KLB Mathematics Book Three Pg 36-37
|
|
| 7 | 3 |
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
|
|
| 7 | 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 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
|
|
| 7 | 5 |
Approximations and Errors
|
Word problems
|
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
|
KLB Mathematics Book Three Pg 39-40
|
|
| 7 | 6 |
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
|
|
| 7 | 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 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
|
|
| 8 |
MIDTERM BREAK |
|||||||
| 9 | 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 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
|
|
| 9 | 2 |
Trigonometry (II)
|
Trigonometric ratios of negative angles
|
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
|
|
| 9 | 3 |
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
|
|
| 9 | 4 |
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 | 5 |
Trigonometry (II)
|
Use of mathematical tables
|
By the end of the
lesson, the learner
should be able to:
Use mathematical tables to find tan Apply tables for all trigonometric functions Compare table and calculator results |
Q/A on tangent table usage
Discussions on function relationships Solving comprehensive table problems Demonstrations of result verification Explaining table limitations |
Mathematical tables, calculators
|
KLB Mathematics Book Three Pg 55-56
|
|
| 9 | 6 |
Trigonometry (II)
|
Use of calculators
Radian measure |
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
Calculators, conversion charts |
KLB Mathematics Book Three Pg 56-58
|
|
| 9 | 7 |
Trigonometry (II)
|
Simple trigonometric graphs
|
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
|
|
| 10 | 1 |
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
|
|
| 10 | 2 |
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
|
|
| 10 | 3 |
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
|
|
| 10 | 4 |
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
|
|
| 10 | 5 |
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
|
|
| 10 | 6 |
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 | 7 |
Surds
|
Simplification of surds practice
|
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
|
KLB Mathematics Book Three Pg 79-80
|
|
| 11 | 1 |
Surds
|
Addition 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
|
KLB Mathematics Book Three Pg 79-80
|
|
| 11 | 2 |
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
|
|
| 11 | 3 |
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
|
|
| 11 | 4 |
Surds
|
Division of surds
|
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
|
KLB Mathematics Book Three Pg 81-82
|
|
| 11 | 5 |
Surds
|
Rationalizing the denominator
Advanced rationalization techniques |
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
Calculators, advanced technique sheets |
KLB Mathematics Book Three Pg 85-87
|
|
| 11 | 6 |
Further Logarithms
|
Introduction
|
By the end of the
lesson, the learner
should be able to:
Use calculators to find the logarithm of numbers Understand logarithmic notation and concepts Apply basic logarithmic principles |
Q/A on exponential and logarithmic relationships
Discussions on logarithm definition and properties Solving basic logarithm problems Demonstrations of calculator usage Explaining logarithm-exponential connections |
Calculators, logarithm definition charts
|
KLB Mathematics Book Three Pg 89
|
|
| 11 | 7 |
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
|
|
| 12 | 1 |
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
|
KLB Mathematics Book Three Pg 90-93
|
|
| 12 | 2 |
Further Logarithms
|
Laws of logarithms
|
By the end of the
lesson, the learner
should be able to:
Use laws of logarithms to solve problems Master all logarithmic laws comprehensively Apply laws to challenging mathematical problems |
Q/A on comprehensive law understanding
Discussions on law selection strategies Solving challenging logarithmic problems Demonstrations of optimal law application Explaining problem-solving approaches |
Calculators, challenging problem sets
|
KLB Mathematics Book Three Pg 90-93
|
|
| 12 | 3 |
Further Logarithms
|
Logarithmic equations and expressions
|
By the end of the
lesson, the learner
should be able to:
Solve the logarithmic equations and expressions Apply algebraic methods to logarithmic equations Verify solutions of logarithmic equations |
Q/A on equation-solving techniques
Discussions on logarithmic equation types Solving basic logarithmic equations Demonstrations of solution methods Explaining verification techniques |
Calculators, equation-solving guides
|
KLB Mathematics Book Three Pg 93-95
|
|
| 12 | 4 |
Further Logarithms
|
Logarithmic equations and expressions
|
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
|
KLB Mathematics Book Three Pg 93-95
|
|
| 12 | 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 numerical computations Use logarithms for complex calculations |
Q/A on computational applications
Discussions on numerical problem-solving Solving computation-based problems Demonstrations of logarithmic calculations Explaining computational advantages |
Calculators, computation worksheets
Calculators, intermediate problem sets |
KLB Mathematics Book Three Pg 95-96
|
|
| 12 | 6 |
Further Logarithms
|
Further computation using logarithms
|
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
|
KLB Mathematics Book Three Pg 95-96
|
|
| 12 | 7 |
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
Calculators, real-world application examples |
KLB Mathematics Book Three Pg 97
|
|
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