Add Mths Yearly Plan 2011 _Cheh PK_F5 new

8/7/2019 Add Mths Yearly Plan 2011 _Cheh PK_F5 new

1/15

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


2/15


3/15

530 Jan

2 Feb


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


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


concept of linearequations.

1. Careful2. Industrious3. Accurate4. Thinking

skill

Week/ Date


Assimilation

820

24 Feb


a) Reduce non-linear relations tolinear form.

Method :1.

Demonstration2. Discussion3. Exercises


Mathematicalconcept.2. Application of

knowledge3. Exercise

1. Systematic2. Confident

3. Accurate4. Cooperation

927 Feb

Students should be able to: Method :1. Drawing


1. Accurate2. Systematic


4/15

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


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


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


5/15

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


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


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


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


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/


6/15

/ 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


7/15

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


8/15

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


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


Assimilation22

19 23

June


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


9/15

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


1.1Identify and shade the region on the

Method1. View GSP

slides

1. Accuracy2. Analytical3. Cooperative


10/15

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


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


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


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


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


11/15

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


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


12/15

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


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


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


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


13/15

3Sept

HARI RAYA AIDIL FITRI

324 8

Sept

10. NORMALDISTRIBUTION


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


mathematicalconcepts.


3. Using calculator andnormal distributiontable.

1. Accurate2. Systematic3. Careful4. Confident5. Deligent6. Cooperation7. Industrious

3311 - 15Sept


1. Convert random variable of normaldistributions, X, to standardizedvariable, Z.

2. Represent probability of an event usingset notation.

Method:1. Explaination2. Inquiry3. Discussion4. Exercises




3. Using calculator and

normal distributiontable.

4. Using the Z-Scoreformulae.

1. Accurate2. Systematic3. Careful4. Confident5. Deligent6. Cooperation7. Industrious

Week/ Date


Assimilation

3311 - 15Sept


1. Determine probability of an event.2. Solve problems involving normal

distributions.

Method:1. Explaination2. Inquiry3. Discussion4. Drilling





1. Accurate2. Systematic3. Careful4. Confident5. Deligent6. Cooperation7. Industrious8. Independent9. Rational

Logicalthinking


14/15

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






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.





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.


1. Understanding ofmathematicalconcepts.



37-3809-20Oct

GUIDED REVISIONS


15/15

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

Add Mths Yearly Plan 2011 _Cheh PK_F5 new

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