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ADDITIONAL MATHEMATICS FORM 5YEARLY LESSON PLAN 2011
Week/ Date
Topics Learning Objective ActivitiesValue/
Assimilation
12 6Jan
1.PROGRESSION
1.1ArithmeticProgression
Students will be able to
1.1.1 Identify characteristics of arithmeticprogressions.1.1.2 Determine whether a givensequence is an arithmetic
progression.1.1.3 Determine by using formula:
a) specific terms in arithmeticprogressions;
b) the number of terms in arithmeticprogressions.
Method :1. Inquiry2. Discussion3. Drilling4. Exercise
Focus :1. Understandingpattern of numbersequenceNo. of terms must
bepositive integer
1. Confident2. Systematic3. Rational4. Accurate5. Careful
29 13
Jan
1.1.6 Find:a) sum of the first n terms of
arithmetic progressions.b) sum of a specific number of
consecutive terms of arithmeticprogressions.
c) value of n, given the sum of thefirst n terms of arithmeticprogressions.
Method :
LectureQuizDrillingExercise
Focus :
1. Difference of nT
and nS
2. Application of thecorrect formulae
3. Identify the values
of a, d and nS
1.Confident2.Systematic3.Rational4.Accurate5.Careful
1.1.5 Solve problems involving arithmeticprogressions.1.1.6 Solve problems involving arithmeticprogressions.
Method :
1. Lecture2. Drilling3. Exercise
Focus :
1. Understanding thesituation given in theproblems
2. Application of thespecific formulae
1. Confident
2. Systematic3. Rational4. Independent5. Hardworking
316 20
1.2 GeometricProgressi
on
Students should be able to :
1.2.1 Find :
Methoda) Engagemen
t
Focus1. Understanding
concept of geometric
1.Visual/spatial2.Creativity3.Logical
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530 Jan
2 Feb
Students should be able to :
1.2.6 Solve problems involving geometricprogressions
Methoda. Discussionb. Drillingc. Problem
Solvingd. Exercise
Focusa. Problem
solvingskills.
b. Real lifesituations.
c. Applicationofknowledge
7. Cooperative8. Confidence9. Accuracy10. Systema
tic11. Logical /
criticalthinking
12. Problemsolving
Criticalthinking
66 10Feb
2. LINEARLAW
Students should be able to :
a) Draw line of best fit by inspection ofgiven data.
b) Write equations for lines of best fit.
Method :1.Lecture2.Drawing3. Discussion
Focus :1. Understanding the
relation of thevariables.2. Application ofknowledge.
1. Accurate2. Systematic3. Careful
713
17 Feb
Students should be able to :a) Determine the values of
variables from :(i) lines of best fit(ii) equations of lines of best fit
Method :1.
Demonstration2. Lecture
Focus :1. Understanding the
concept of linearequations.
1. Careful2. Industrious3. Accurate4. Thinking
skill
Week/ Date
Topics Learning Objective ActivitiesValue/
Assimilation
820
24 Feb
Students should be able to :
a) Reduce non-linear relations tolinear form.
Method :1.
Demonstration2. Discussion3. Exercises
Focus :1. Understanding the
Mathematicalconcept.2. Application of
knowledge3. Exercise
1. Systematic2. Confident
3. Accurate4. Cooperation
927 Feb
Students should be able to: Method :1. Drawing
Focus :1. Understanding the
1. Accurate2. Systematic
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3
March
a) Determine values of constantsof non-linear relations given:(i) lines of best fit(ii) data
2. View CD3.
Demonstration4. Drilling
Mathematical concept.2. Application ofknowledge.3. Draw the lines ofbest fit.
3. Hardworking4. Careful
Students should be able to:
a) Obtain information from :(i) lines of best fit(ii) equations of lines of best fit
Method :1.
Demonstration2. Inquiry3. Exercises4. Quiz
Focus :1. Understanding the
information fromthe graph.
4. Problem solvingskills.
5. understand theconcept
6. application ofknowledge
7. Exercise
1. Confident2. Systematic3. Independent4. Rational5. Thinking
skills
106 10March
MARCH TEST
11 19
March
CUTI PENGGAL PERSEKOLAHAN
Week/ Date
Topics Learning Objective ActivitiesValue/
Assimilation
1120 24
March
3.INTEGRATION
Students should be able to
1.1 Determine integrals by reversingdifferentiation.
Method :1. View CD2. Explanation3. Discussion
Focus1. understand theconcept
1. Systematic2. Accurate3. Industrious4. Careful
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1.2 Determine integrals of nax , where
a is a constant and n is an integer,n 1.
4. Lecture5. Drilling
5. Obedience6. cooperation
12
27 31
March
Students should be able to
1.3 Determine integrals of algebraicexpressions.1.4 Find constants of integration, c, in
indefinite integrals
Method :1. View CD
2. Explanation3. Discussion4. Lecture5. Drilling
Focus :1.understand and use
the concept
1. Systematic2. Accurate
3. Industrious4. Careful5. Obedience6. cooperation
133 7April
Students should be able to
1.3Determine equations of curvesfrom functions of gradients.
Method :1. View CD2. Explanation3. Discussion4. Lecture5. Drilling
Focus :1. Use the concept of
integration
1.Systematic2.Accurate3.Industrious4.Careful5.Obedience6.cooperation
1410 -14April
Students should be able to
1.4 Determine by substitution theintegrals of expressions of the form(ax+b)n, where a and b areconstants, n is an integer and n1.
Method :1.Explanation2.Discussion3.Lecture4.Drilling
Focus :1.Use the concept of
substitution
1.Systematic2.Accurate3.Industrious4.Careful5.Obedience
1517 -21April
Students should be able to
2.1 Find definite integrals of algebraic
expressions.2.2Find areas under curves as the limitof a sum of areas.
2.3Determine areas under curves usingformula.
Method :1.Use computersoftware to
explore areasunder curves
1.Hardworking2.Logical
thinking
3.Accurate4.Careful5.Systematic
Week Topics Learning Objective Activities Value/
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/ DateAssimilation
1624
28April
Students should be able to :2.4 Find volumes of revolutions when
region bounded by a curve is rotatedcompletely about the
i) x-axisii) y-axis as the limit of a sum ofvolumes.
Determine volumes of revolutions usingformula.
Method :
Use dynamiccomputersoftware to
explorevolumes ofrevolutions.
1.Confident2.Focus3.Accurate4.Systematic
171 - 5May
4. VECTORSStudents should be able to :1.1Differentiate between vector and scalar
quantities.1.2 Draw and label directed line
segments to represent vectors.1.3 Determine the magnitude and
direction of vectors Determine
whether two vectors are equal.1.4 Multiply vectors by scalars.1.6 Determine whether two vectors are
parallel.
Methods:1. Explanation2. Demonstrate
the examples Use examples
from real-lifesituations
Exercises
Focus:1.Understand the
concepts2.Notation of vectors3.Application
knowledge
1.Confident2.Systematic3.Accurate4.Cooperation5.Analytical6.Logical
thinking
7.Critical8.Independent9.Hardworking
188 12May
Students should be able to :2.1Determine the resultant vector of two
parallel vectors.2.2Determine the resultant vector of two
non-parallel vectors using:a) triangle law orb) parallelogram law.
2.3 Determine the resultant vector of threeor more vectors using the polygonlaw.
2.4 Subtract two vectors which are:a) parallelb) non-parallel.
2.5 Represent vectors as acombination of other vectors.
Method :1.inquiry2.discussion3.view CD4.lecture5.demonstration6.drilling7.quiz8.exercise
Focus :1. Problem solving
skills2. Application of
knowledge3. Understanding of
mathematicalconcepts
1.Confident2.Systematic3.Accurate4.Cooperation5.Careful6.Analytical7.Rational8.Critical9.Independent10. Hardwor
king11. Industrio
us
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2.6 Solve problems involving additionand subtraction of
vectors.
1915-19May
Students should be able to :2.7Determine the resultant vector of two
parallel vectors.2.8Determine the resultant vector of two
non-parallel vectors using:a) triangle law orb) parallelogram law.
2.9 Determine the resultant vector of threeor more vectors using the polygonlaw.
2.10 Subtract two vectors which are:c) paralleld) non-parallel.
2.11 Represent vectors as acombination of other vectors.
2.12 Solve problems involvingaddition and subtraction of
vectors.
Method :1.inquiry2.discussion3.view CD4.lecture5.demonstration6.drilling7.quiz8.exercise
Focus :1. Problem solving
skills2. Application of
knowledge3. Understanding of
mathematicalconcepts
1.Confident2.Systematic3.Accurate4.Cooperation5.Careful6.Analytical7.Rational8.Critical9.Independent10. Hardwor
king11. Industrio
us
2022-26May
MID YEAR EXAMINATION
27May
11June
CUTI PENGGAL PERSEKOLAHAN
2112 16
June
Students should be able to :1. Express vectors in the form:
a)~
~
jyix + b)
y
x.
2. Determine magnitudes of vectors.3. Determine unit vectors in given
directions.4. Add two or more vectors.
Method :1.inquiry2.discussion3.view CD
o Lectureo Demonstra
tiono Drillingo Quiz
Focus :1.Problem solvin skills2.Application of
knowledge3.Understanding of
Mathematicalconcepts
1. Confident2. Systematic3. Accurate4. Cooperation5. Careful6. Analytical7. Rational8. Logical
thinking
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5. Subtract two vectors.6. Multiply vectors by scalars.7. Perform combined operations on
vectors.Solve problems involving vectors.
o exercise 9. Critical10. Indepen
dent11. Hardwor
king12. Industrio
us
2219 23
June
5.TRIGONOMETRIC
FUNCTIONS
Students should be able to:
1.1 Represent in a Cartesian plan anglegreater than 3600 or 2 radians for
a. positives angleb. negative angle
Method1. View
coursewareCD)
2. Showexample byusingGeometersSketchpad.(draw angle ina Cartesian
plane)3. Discussion
Focus1. Constructivism2. Problem solving skill.
(exercise)
1. Discipline2. Thankful3. Systematic4. Brave
Week/ Date
Topics Learning Objective ActivitiesValue/
Assimilation22
19 23
June
Students should be able to:
Define sine, cosine and tangent, of anyangle in a Cartesian plane.Define cotangent, secant and cosecant ofany angle in a Cartesian planeFind values of the six trigonometricfunctions of any angle.Solve trigonometric equations
Method1. Use dynamic
computersoftwaresuch as GSP toexploretrigonometricfunctions indegrees andradian
2. Use scientificor graphingcalculator toexploretrigonometric
Focus1. Constructivism2. Mastering Learning3. Problem solving skill.
(exercise)
1. Confident2. Hardworking3. Co-operation4. Precise
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functions ofany angle.
3. Discussion
2326 30
June
Student will be able to1. Draw and sketch graphs of
trigonometric functionsy = c + a sin bxy = c + a cos bxy = c + a tan bxwhere a, b and c are constants and b>0
2. Determine the number of solutions to atrigonometric equation using sketchedgraphs.
3. Solve trigonometric equations usingdrawn graphs.
Method:1.Drawing
graphs usingGSP softwareto exploregraph of TF.
2.Showingexample.
3.Exercise ofsketchinggraphs.
Focus :1.x-axis, y-axis and
amplitude2.Sketch skills.3.Tangent curve.
1. Thankful.2. Accurate.3. Precision4. Efficient5. Hardworking6. Confident7. Passion
2326 30
June
Students will be able to:1. Prove basic identities:
sin2
A + cos2
A = 11 + tan2A = sec2A1 + cot2A = cosec2A
2. Prove trigonometric identities usingbasic identities.
3. Solve trigonometric equationsusing basic identities.
4. Prove trigonometric identities using
addition formulae for sin(A B), cos
(A B) and tan (A B).5. Derive double angle formulae for sin
2A, cos 2A and tan 2A.6. Prove trigonometric identities usingaddition formulae and/or doubleangle formulae.
Solve trigonometric equations.
Method:1. Lecture
2. Inquiry3. Discussion4. Exercise5. Demonstration6. Use dynamic
computersoftware suchas GSP toexplore.
.
Focus:1. Problem solving skills
2. Understandingmastery learning
3. Constructivism.4. Application of
Knowledge
1.Systematic2.Confident
3.Logicalthinking
4.Hardworking5.Independent6.Discipline7.Patient
8. Willingto try
243 7July
5. LINEARPROGRAMMING
Students should be able to :
1.1Identify and shade the region on the
Method1. View GSP
slides
1. Accuracy2. Analytical3. Cooperative
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graph that satisfies a linear inequality1.2Find the linear inequality that defines a
shaded region.
2. View CD3. Lecture4. Demonstration
4. Systematic5. Rational
243 7July
Students should be able to :
1.3Shade region on the graph that satisfiesseveral linear inequalities
1.4Find linear inequalities that define ashaded region.
Method :1. View GSP
slides2. View CD3. Lecture4. Demonstration
1. Accuracy2. Analytical3. Cooperative4. Systematic5. Rational
2510
14 July
Students should be able to :
1.1Solve problems related to linearprogramming by :(a) writing linear inequalities and
equations describing a situation(b) shading the region of feasible
solutions
Method :1. Lecture
1. Accuracy2. Analytical3. Cooperative4. Systematic5. Rational
2510
14 July
Students should be able to :
1.2Solve problems related to linearprogramming by :(a) shading the region of feasible
solutions.(b) determining and drawing the
objective function ax + by = kwhere a, b and k are constants.
(c) determining graphically theoptimum value of the objectivefunction.
Method1. View GSP slide2. View CD3. Lecture
4. Demonstration
1. Accurate2. Analytical3. Cooperative4. Systematic5. Rational
2617-21July
7.PERMUTATIONS ANDCOMBINATIONS
Students should be able to
1.1Determine the total number of ways toperform successive events usingmultiplication rule.
1.2Determine the number of permutations
Method :-1. Demonstration
usemanipulativematerials toexplore
Focus :-1. understanding the
mathematicalconcept
2. application ofknowledge
1. Confident2. Rational3. Logical
thinking
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1.Permutation
of n different objects.1.3Determine the number of permutations
of n different objects taken r at a time.
multiplicationsrule
2. Inquiry3. Lecture
2724
28 July
2.Combination
2.1 Determine the number ofcombinations of r objects chosen fromn different objects.
Method :-1. View CD2. Discussion3. Inquiry
Focus :-1. understanding the
mathematicalconcept
2. learning how to learn
1.Accurate2.Systematic3.Careful
2724
28 July
2.2 Determine the number ofcombinations r objects chosen from ndifferent objects for given conditions.
Method :-1. Inquiry2. Investigation3. Exploratory4.
Focus :-1. multiple intelligent2. problems solving
skills
1. Analytical2. Careful3. Confident4. Hardworking
2831 July
4Aug
AUGUST MONTHLY TEST
297-11Aug
8.PROBABILITY
Students should be able to:
1.1Describe the sample space of anexperiment.
1.2Determine the number of outcomes ofan event.
1.3Determine the probability of an event.1.4Determine the probability of two
events:a) A or B occurringb) A and B occurring.
Method:1. Lecture2. Experiment3. Discuss
sample4. Exercise
1. Assimilation2. Systematic3. Confident4. Critical
thinking5. Constructivi
sm
297 11
Students should be able to: Method :1. Lecture
1. Accurate2. Cooperation
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Aug
2.1 Determine whether two events aremutually exclusive.
2.2 Determine the probability of two ormore events that are mutuallyexclusive.
2. Exploration bygroup work
3. Discussion4. Exercise
3. Careful4. Mastery
learning5. Constructivi
sm
3014-18Aug
Students should be able to:3.1 Determine whether two events are
independent.3.2 Determine the probability of two
independent events.3.3 Determine the probability of three
independent events.
Method:1. Brainstorming2. Discussion3. Experiments4. Simulation
1. Rational2. Logical
thinking3. Hardworking4. Grateful
Week/ Date
Topics Learning Objective ActivitiesValue/
Assimilation
3014 18
Aug
Students will have the skills
- n constructing the treediagrams
- On how to use the tree diagram
Method :
1. Group work2. Presentation3. Discussion
1. Constructivi
sm2. Cooperative
learning
3121-25Aug
9.BINOMIALDISTRIBUTION
Students should be able to:
1. List all possible values of a discreterandom variable.
2. Determine the probability of an event ina binomial distribution.
Method:1. Explaination2. Inquiry3. Discussion4. Demonstration5. Exercises
Focus:1. Understanding of
mathematicalconsepts.
2. Application ofknowledge.
1. Creative2. Logical
thinking3. Confident4. Cooperation
3121 25
Aug
Students should be able to:
1. Plot binomial distribution graphs.2. Determine mean, variance and standard
deviation of a binomial distribution.3. Solve problems involving binomial
distribution.
Method:1. Use GSP to
plot the graph.2. Use graphic
calculator.3. Use calculator.
Exercises
Focus:1. Problem solving
skill.2. Application ofknowledge.3. Using the correctformulae.
1. Accurate2. Systematic3. Careful4. Confident5. Hardworking
26 Aug CUTI PERTENGAHAN PENGGAL KEDUA
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3Sept
HARI RAYA AIDIL FITRI
324 8
Sept
10. NORMALDISTRIBUTION
Students should be able to:
1. Describe continuous random variablesusing set notations.
2. Find probability of z-values for standardnormal distribution.
Method:1. Explaination2. Inquiry3. Discussion4. Give examples
in real lifesituation.
5. Exercises.6. Group work
Focus:1. Understanding of
mathematicalconcepts.
2. Application ofknowledge.
3. Using calculator andnormal distributiontable.
1. Accurate2. Systematic3. Careful4. Confident5. Deligent6. Cooperation7. Industrious
3311 - 15Sept
Students should be able to:
1. Convert random variable of normaldistributions, X, to standardizedvariable, Z.
2. Represent probability of an event usingset notation.
Method:1. Explaination2. Inquiry3. Discussion4. Exercises
Focus:1. Understanding of
mathematicalconcepts.
2. Application ofknowledge.
3. Using calculator and
normal distributiontable.
4. Using the Z-Scoreformulae.
1. Accurate2. Systematic3. Careful4. Confident5. Deligent6. Cooperation7. Industrious
Week/ Date
Topics Learning Objective ActivitiesValue/
Assimilation
3311 - 15Sept
Students should be able to:
1. Determine probability of an event.2. Solve problems involving normal
distributions.
Method:1. Explaination2. Inquiry3. Discussion4. Drilling
Focus:1. Understanding of
mathematicalconcepts.
2. Application ofknowledge.
3. Using calculator andnormal distributiontable.
1. Accurate2. Systematic3. Careful4. Confident5. Deligent6. Cooperation7. Industrious8. Independent9. Rational
Logicalthinking
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3419-22Sept
Motion Alongthe StraightLine
1.1List all values of a discrete randomvariable
1.2Determine the probability of an event ina binomial distribution
1.3Plot binomial distribution graphs1.4Determine mean, variance and
standard deviation of a binomialdistribution
1.5Solve problems involving binomialdistributions
Method:1. Explaination2. Inquiry3. Discussion4. Drilling
Focus:1. Understanding of
mathematicalconcepts.
2. Application ofknowledge.
3. Using calculator andnormal distributiontable.
1. Careful2. Systematic
3525-29Sept
1.6Determine velocity function of a particleby differentiation.
1.7Determine instantaneous velocity of aparticle
1.8Determine displacement of a particlefrom velocity function by integration.
Method:1. Explaination2. Inquiry3. Discussion4. Drilling
Focus:1. Understanding of
mathematicalconcepts.
2. Application ofknowledge.
3. Using calculator and
normal distributiontable.
3602-06Oct
1.9Determine acceleration function of aparticle by differentiation.
1.10 Determine instantaneousacceleration of a particle
1.11 Determine displacement of aparticle from acceleration function byintegration
1.12 Determine displacement of aparticle from acceleration function by
integration1.13 Solve problems involving motion
along a straight line.
Method:1. Explaination2. Inquiry3. Discussion4. Drilling
1. Understanding ofmathematicalconcepts.
2. Application ofknowledge.
3. Using calculator andnormal distributiontable.
37-3809-20Oct
GUIDED REVISIONS
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39-4023
Oct-03Nov
SPM TRIAL EXAMINATION
4106-10Nov
REVISIONS
4213-17Nov
SPM EXAMINATION
Year End Holidays Start from 18 November 2011 until 31 December 2011