PB MECHANICAL MATHEMATICS SYLLABUS

PB

ZIMBABWE

MINISTRY OF PRIMARY AND SECONDARY EDUCATION

MECHANICAL MATHEMATICS SYLLABUS

FORMS 5 - 6

2015 - 2022

Curriculum Development and Technical ServicesP. O. Box MP 133Mount Pleasant

Harare

© All Rrights Reserved2015

i

Mechanical Mathematics Syllabus Forms 5 - 6

AcknowledgementsThe Ministry of Primary and Secondary Education wishes to acknowledge the following for their valued contribution in the production of this syllabus:

• Nationalpanelistsforform5-6MechanicalMathematics• Representativesofthefollowingorganisations:

ZimbabweSchoolExaminationsCouncil(ZIMSEC) UnitedNationsInternationalChildren’sEmergencyFund(UNICEF) UnitedNationsEducationalScientificandCulturalOrganisation(UNESCO) MinistryofHigherandTertiaryEducation,ScienceandTechnologyDevelopment

ii


ContentsAcknowledgements ..................................................................................................................................i

Contents ....................................................................................................................................................ii

1.0 Preamble .............................................................................................................................................1

2.0 Presentation of Syllabus....................................................................................................................1

3.0 Aims .....................................................................................................................................................1

4.0 Objectives ...........................................................................................................................................2

5.0 Methodology and Time Allocation ....................................................................................................2

6.0 Topics ..................................................................................................................................................2

7.0 SCOPE AND SEQUENCE ...................................................................................................................3

8.0 COMPETENCY MATRIX ......................................................................................................................6

8.1 FORM (5) FIVE .....................................................................................................................................6

8.2 FORM (6) SIX .......................................................................................................................................12

9.0 Assessment .......................................................................................................................................18

1


1.0 Preamble

1.1 Introduction

IndevelopingtheMechanicalMathematicssyllabus,attentionwaspaidtotheneedtofurtherthelearners’understanding of concepts for future studies and career development. This syllabus seeks to provide a sound treatment of Mechanical Mathematics as a learning area whose laws and principles are used as models in indige-nous knowledge systems and technology. In this learning area,aholisticapproachishighlyrecommendedwhere-bylearnersareexpectedtoshowexpertise,intelligenceandinnovativenessinthespiritofUnhu/Ubuntu/Vumun-hu in their conduct.

The intention is to provide wider opportunities for learn-erswhowishtoacquirecompetencesinscientificallyand technologically based areas required for the nation-al human capital development needs and enterprising activities in the 21st century. In learning Mechanical Mathematics,learnersshouldbehelpedtoacquireavarietyofskills,knowledgeandprocesses,anddeveloppositive attitude towards the learning area. These will enhance the ability to investigate and interpret numerical andspatialrelationshipsaswellaspatternsthatexistinMathematics and in the world in general. The syllabus alsocatersforlearnerswithdiverseneedstoexperienceMechanical Mathematics as relevant and worthwhile. It also desires to produce a learner with the ability to com-municate mathematical ideas and information effectively.

1.2 Rationale

Inlinewithsocio-economictransformation,Zimbabwehas embarked on industrialisation reforms and hence the need to cultivate self-reliance under which high Me-chanical Mathematics skills are required. The thrust is to provide wider opportunities for the learners who desire to undertake technologically and industrially related sci-entificresearchareasandcareerssuchasarchitectureandengineering.Moreso,thelearningareaisanchoredon developing wholesome learners who have the abil-ity to add value and improve indigenous inventions. In thisregard,MechanicalMathematicsprovidesasoundgrounding for development and improvement of the learner’sintellectualcompetenciesinlogicalreasoning,spatialvisualisation,analyticalandinnovativethinking.This learning area enables learners to develop skills suchasaccuracy,researchandanalyticalcompetenciesessential for life and sustainable development.

1.3 Summary of Content

The Form 5 - 6 Mechanical Mathematics syllabus will cover the theoretical concepts and their application. This twoyearlearningareaconsistsofdynamics,staticme-chanics and natural laws of motion.

1.4 Assumptions

It is assumed that the learner • haspassedatleastoneofthefollowingatform4:

Mathematics PureMathematics AdditionalMathematics

• hasabilityandinterestinMathematics

1.5 Cross Cutting Themes

The following are some of the cross cutting themes in Mechanical Mathematics:-

• Problemsolving• Disasterandriskmanagement• ICT• Communicationandteambuilding• Environmentalissues• Businessandfinancialliteracy• Gender• Inclusivity• Enterpriseskills

2.0 Presentation of SyllabusThe Mechanical Mathematics syllabus is a single doc-umentcoveringforms5–6.Itcontainsthepreamble,aims,objectives,syllabustopics,scopeandsequence,competencymatrixandassessmentprocedures.Thesyllabus also suggests a list of resources to be used during the teaching and learning process.

3.0 Aims

The syllabus will enable learners to:

3.1 acquire Mechanical Mathematics skills which help them to apply Mathematics in industry and technology

3.2 understand the nature of Mechanical Mathe-

Mec

hani

cal M

athe

mat

ics

Sylla

bus

Form

s 5

- 6

2


maticsanditsrelationshiptoScience,Technol-ogy,EngineeringandMathematics(STEM)

3.3 engage,persevere,collaborateandshowintellectual honesty in performing tasks in MechanicalMathematics,inthespiritofUnhu/Ubuntu/Vumunhu

3.4 applyMechanicalMathematicsconceptsandtechniques in other learning areas

3.5 acquireenterprisingskillsthroughmodelling,researchandprojectbasedlearning

3.6 developcriticalthinking,innovativeness,cre-ativity and problem solving skills for sustain-able development

3.7 develop their ability to formulate problems mathematically,interpretamathematicalsolutioninthecontextoftheoriginalproblem,and understand the limitations of mathematical models

4.0 Objectives

The learners should be able to:

4.1applyrelevantMechanicalMathematicssym-bols,definitions,termsandusethemappropri-ately in problem solving

4.2useappropriateskillsandtechniquesthatare necessary in other learning areas and for further studies

4.3constructanduseappropriateMechanical Mathematics models in solving problems in life4.4communicateMechanicalMathematicsideas

and information4.5applyMechanicalMathematicstechniquesto

solve problems in an ethical manner4.6useestimationprocedurestoacceptablede-

gree of accuracy4.7presentdatathroughappropriaterepresenta-

tions4.8drawinferencesthroughcorrectmanipulation

of data4.9useI.C.TtoolstosolveMechanicalMathemat-

ics problems

5.0 Methodology and Time Allo-cation

5.1 Methodology

It is recommended that teachers use teaching techniques in which Mechanical Mathematics is seen as a learning

areawhicharouseaninterestandconfidenceintacklingproblemsbothinfamiliarandunfamiliarcontexts.Theteaching and learning of Mechanical Mathematics must be learner centred and practically oriented. Multi-sen-sory approaches should also be applied during teaching and learning of Mechanical Mathematics. The following are some of the suggested methods:

• Problemsolving• Modelling• Groupwork• Guideddiscovery• Demonstrationandillustration• Experimentation• Interactivee-learning• Self-activity/Independentlearning• Exposition• Visualtactile• Research• Expertguestpresentation

5.2 Time Allocation

Tenperiodsof40minuteseachperweekshouldbeallocated.

Learnersareexpectedtoparticipateinthefollowingactivities:-

- MechanicalMathematicsOlympiads- MechanicalMathematicsandScienceexhibitions- Mechanical Mathematics seminars- Mechanical Mathematical tours - Schoolontheshopfloor(exposuretoindustrial

processes)

6.0 TopicsThe following topics will be covered from Form 5 to 6

6.1. Vectors6.2. Forces and equilibrium 6.3. Kinematics of motion in a straight line 6.4. Newton’sLawsofmotion6.5. Motionofaprojectile6.6. Momentum and impulse6.7. Centreofmass6.8. Elasticity6.9. Energy,WorkandPower6.10. CircularMotion6.11. Linear motion under a variable force6.12. Simple harmonic motion

Mec

hani

cal M

athe

mat

ics

Sylla

bus

Form

s 5

- 6

3

7.0

SC

OPE

AN

D S

EQU

ENC

E

Mec

hani

cal M

athe

mat

ics S

ylla

bus F

orm

5 –

6 2

016

7

TO

PIC

FO

RM 5

FO

RM 6

Vect

ors

Ve

ctorre

presentation

Pr

oper

ties

of v

ecto

rs

Ba

sic

oper

atio

ns

M

agni

tude

of v

ecto

rs

Tr

iang

le la

w fo

r vec

tors

Cartesianunitvectors

Res

olut

ion

Res

ulta

nt v

ecto

r

Vectorequationoftheline

Ve

ctorequationofthepathofamovingparticle

Po

sitio

n ve

ctor

of t

he p

oint

of i

nter

sect

ion

of

two

lines

Mom

ent o

f a fo

rce

R

esul

tant

mom

ent

Forc

es a

nd E

quili

briu

m

Definition

of f

orce

Type

s of

forc

es

R

epre

sent

atio

n of

forc

e by

vec

tors

Res

ulta

nts

and

com

pone

nts

Com

positionandResolutions

Equi

libriu

m o

f a p

artic

le

Eq

uilib

rium

of a

rigi

d bo

dy u

nder

cop

lana

r fo

rces

Fric

tion

Kin

emat

ics

of m

otio

n in

a s

trai

ght l

ine

M

otio

n in

a s

traig

ht li

ne

Ve

locity

Acce

lera

tion

Displacem

ent-

tim

e an

d ve

loci

ty ti

me

grap

hs

Eq

uatio

n of

mot

ion

for c

onst

ant l

inea

r ac

cele

ratio

n

Verticalm

otionundergravity

Mec

hani

cal M

athe

mat

ics

Sylla

bus

Form

s 5

- 6

Mec

hani

cal M

athe

mat

ics

Sylla

bus

Form

s 5

- 6

4

Mec

hani

cal M

athe

mat

ics S

ylla

bus F

orm

5 –

6 2

016

8

M

otio

n an

d co

nsta

nt v

eloc

ity

New

ton’

s La

ws

of m

otio

n

New

ton’

s la

ws

of m

otio

n

Mot

ion

caus

ed b

y a

set o

f for

ces

Conceptofm

assandweight

Motionofconnectedobjects

Mot

ion

of a

pro

ject

ile

Projectile

- Motionofaprojectile

-

Velocityanddisplacem

ents

Ran

ge o

n ho

rizon

tal p

lane

Greatestheight

Maximum

range

Cartesianequationofatrajectoryofaprojectile

Mom

entu

m a

nd Im

puls

e

M

omen

tum

Impu

lse

Rel

atio

n be

twee

n m

omen

tum

and

impu

lse

Im

puls

e fo

rces

Collision

Conservationoflinearmom

entum

Cen

tre

of m

ass

Centreo

f gra

vity

Centreofm

ass

Centreofm

assofauniform

lamina

Centreofm

assofacom

poundlamina

Su

spen

ded

bodi

es

Sl

idin

g an

d to

pplin

g bo

dies

Elas

ticity

Prop

ertie

s of

ela

stic

stri

ngs

and

sprin

gs

W

ork

done

in s

tretc

hing

a s

tring

Elas

tic p

oten

tial e

nerg

y

Mec

hani

cal e

nerg

y

Con

serv

atio

n of

mec

hani

cal e

nerg

y

Mec

hani

cal M

athe

mat

ics

Sylla

bus

Form

s 5

- 6

4 5

Mec

hani

cal M

athe

mat

ics S

ylla

bus F

orm

5 –

6 2

016

9

En

ergy

, Wor

k an

d Po

wer

Ener

gy

- Gravitationalpotential

-

Elas

tic p

oten

tial

- Ki

netic

Wor

k

Po

wer

Prin

cipl

e of

ene

rgy

cons

erva

tion

Circ

ular

mot

ion

(Ver

tical

and

Hor

izon

tal)

Angu

lar s

peed

and

vel

ocity

Horizontalandverticalcircularmotion

A

ccel

erat

ion

of a

par

ticle

mov

ing

on a

circ

le

M

otio

n in

a c

ircle

with

con

stan

t sp

eed

R

elat

ion

betw

een

angu

lar a

nd li

near

spe

ed

Conicalpendulum

Bank

ed tr

acks

Line

ar m

otio

n un

der a

var

iabl

e fo

rce

Mot

ion

in a

stra

ight

line

with

acc

eler

atio

n th

at v

arie

s w

ith ti

me

Velocityasafunctionofdisplacem

ent

Va

riablemotioninthex-

y pl

ane

Fi

rst o

rder

diff

eren

tial e

quat

ions

with

sep

arab

le

varia

bles

New

ton’

s se

cond

law

of m

otio

n (v

aria

ble

forc

e)

Sim

ple

harm

onic

mot

ion

Basi

c eq

uatio

n of

sim

ple

harm

onic

mot

ion

Pr

oper

ties

of s

impl

e ha

rmon

ic m

otio

n

Sim

ple

pend

ulum

Mec

hani

cal M

athe

mat

ics

Sylla

bus

Form

s 5

- 6

6

8.0

CO

MPE

TEN

CY

MAT

RIX

8.1

FOR

M (5

) FIV

E

TOPI

C 1

: VEC

TOR

S

Mec

hani

cal M

athe

mat

ics S

ylla

bus F

orm

5 –

6 2

016

1

0

8.0 COMPE

TENCY

MAT

RIX

8.1 FO

RM(5

)FIVE

TOPI

C 1

: VEC

TOR

S

SUB

TO

PIC

LE

ARN

ING

OB

JEC

TIVE

S

Lear

ners

sho

uld

be a

ble

to:

CO

NTE

NT

(Atti

tude

s, S

kills

and

K

now

ledg

e)

SUG

GES

TED

NO

TES

AND

AC

TIVI

TIES

SU

GG

ESTE

D

RES

OU

RC

ES

Vect

ors

re

pres

ent v

ecto

rs u

sing

vec

tor

nota

tions

desc

ribe

vect

or p

rope

rties

carr

y ou

t vec

tor o

pera

tions

calc

ulat

e th

e m

agni

tude

of a

ve

ctor

useunitvectors,positionvectors

and

disp

lace

men

t vec

tors

to

solv

e pr

oble

ms

re

solv

e ve

ctor

s

find

the

- res

ulta

nt v

ecto

rs

-vec

tor e

quat

ion

of a

line

-v

ecto

r equ

atio

n of

the

path

of a

m

ovin

g pa

rticl

e

dete

rmin

e th

e po

int o

f int

erse

ctio

n of

two

vect

ors

so

lve

prob

lem

s in

volv

ing

mom

ent

of a

forc

e

solv

e pr

oble

ms

invo

lvin

g ve

ctor

s

Ve

ctorre

presentation

Prop

ertie

s of

vec

tors

Basi

c op

erat

ions

Mag

nitu

de o

f vec

tors

Tria

ngle

law

of v

ecto

rs

Cartesianunitvectors

Res

olut

ion

R

esul

tant

vec

tors

Vectorequationoftheline

Ve

ctorequationofthepath

of

a m

ovin

g pa

rticl

e

Mom

ent o

f a fo

rce

R

esul

tant

mom

ent

Posi

tion

vect

or o

f the

poi

nt o

f in

ters

ectio

n of

two

lines

R

epre

sent

ing

vect

ors

usin

g ve

ctor

not

atio

ns

Discussing

vect

or

prop

ertie

s

Car

ryin

g ou

t vec

tor

oper

atio

ns

Com

puting

the

mag

nitu

de

of a

vec

tor

Appl

ying

unitvectors,

posi

tion

vect

ors

and

disp

lace

men

t vec

tors

in

solv

ing

prob

lem

s

R

esol

ving

vec

tors

Calculating

the

resu

ltant

ve

ctor

s,v

ecto

r equ

atio

n of

a

line

and

vect

or e

quat

ion

of th

e pa

th o

f a m

ovin

g pa

rticl

e

Calculatingtheresultant

mom

ent o

f a fo

rce

Find

ing

the

poin

t of

inte

rsec

tion

of tw

o ve

ctor

s

Mod

ellin

g li

fe s

ituat

ion

invo

lvin

g ve

ctor

s to

sol

ve

prob

lem

s

ICTtools

Relevanttext

Geo

-boa

rd

En

viro

nmen

t

Brai

lle m

ater

ial

and

equi

pmen

t

Talk

ing

book

s

Mec

hani

cal M

athe

mat

ics

Sylla

bus

Form

s 5

- 6

Mec

hani

cal M

athe

mat

ics

Sylla

bus

Form

s 5

- 6

7

TOPI

C 2

: FO

RC

ES A

ND

EQ

UIL

IBR

IUM

Mec

hani

cal M

athe

mat

ics S

ylla

bus F

orm

5 –

6 2

016

1

2 TO

PIC

2: F

OR

CES

AN

D E

QU

ILIB

RIU

M

SUB

TO

PIC

LE

ARN

ING

OB

JEC

TIVE

S Le

arne

rs s

houl

d be

abl

e to

: C

ON

TEN

T( A

ttitu

des,

sk

ills

and

Kno

wle

dge)

SU

GG

ESTE

D

NO

TES

AND

AC

TIVI

TIES

SU

GG

ESTE

D

RES

OU

RC

ES

For

ces

and

Equi

libriu

m

de

fine

forc

e

iden

tify

the

forc

es a

ctin

g in

a

give

n si

tuat

ion

re

pres

ent f

orce

s by

vec

tors

fin

d re

sulta

nts

and

com

pone

nts

of v

ecto

rs

us

e re

sulta

nts

and

com

pone

nts

of v

ecto

rs to

form

ulat

e eq

uatio

ns

re

pres

ent a

con

tact

forc

e be

twee

n tw

o su

rface

s by

two

components,thenorm

al a

nd

frict

iona

l for

ces

ca

lcul

ate

frict

ion

so

lve

prob

lem

s in

volv

ing

the

equi

libriu

m o

f a s

ingl

e rig

id b

ody

unde

r the

act

ion

of c

opla

nar

forc

es

Definition

of f

orce

Type

s of

forc

es

Rep

rese

ntat

ion

of

forc

e by

vec

tors

Res

ulta

nts

and

com

pone

nts

Com

positionand

Res

olut

ions

Equi

libriu

m o

f a

parti

cle

Equi

libriu

m o

f a ri

gid

body

und

er c

opla

nar

forc

es

Fr

ictio

n

Definingforce

Sk

etch

ing

and

labe

lling

of

forc

es o

n a

plan

e

Iden

tifyi

ng f

orce

s ac

ting

on a

bo

dy in

equ

ilibriu

m

Calculatingfriction

Calculatingresultantforces

Rep

rese

ntin

g lif

e ph

enom

ena

usin

g m

athe

mat

ical

m

odel

s in

volv

ing

forc

es i

n eq

uilib

rium

andexploringtheira

pplications

in li

fe

ICTtools

Geo

-boa

rd

En

viro

nmen

t

Relevanttexts

Brai

lle m

ater

ial a

nd

equi

pmen

t

Talk

ing

book

s

Mec

hani

cal M

athe

mat

ics

Sylla

bus

Form

s 5

- 6

7 8

TOPI

C 3

: KIN

EMAT

ICS

OF

MO

TIO

N IN

A S

TRA

IGH

T LI

NE

Mec

hani

cal M

athe

mat

ics S

ylla

bus F

orm

5 –

6 2

016

1

3 T

OPI

C 3

: KIN

EMAT

ICS

OF

MO

TIO

N IN

A S

TRAI

GH

T LI

NE

SUB

TO

PIC

LE

ARN

ING

OB

JEC

TIVE

S Le

arne

rs s

houl

d be

abl

e to

: C

ON

TEN

T( A

ttitu

des,

ski

lls

and

Kno

wle

dge)

SU

GG

ESTE

D N

OTE

S AN

D

ACTI

VITI

ES

SUG

GES

TED

R

ESO

UR

CES

Ki

nem

atic

s of

mot

ion

in

a st

raig

ht li

ne

de

fine

dist

ance(x)

disp

lace

men

t(s),speed,

velo

city(v) a

nd a

ccel

erat

ion(a)

use

diffe

rent

iatio

n an

d in

tegr

atio

n w

ith re

spec

t to

time

to s

olve

pr

oble

ms

conc

erni

ng

displacement,velocityand

acce

lera

tion

sk

etch

the

grap

hs o

f:

- (x

-t)

- (s

-t)

- (v

-t)

- (a

-t)

in

terp

ret t

he (x

-t),(s-t),

(v-t)and

(a-t)

gra

phs

de

rive

the

equa

tions

of m

otio

n of

a

parti

cle

with

con

stan

t ac

cele

ratio

n in

a s

traig

ht li

ne

us

e th

e eq

uatio

ns o

f mot

ion

of a

pa

rticl

e w

ith c

onst

ant a

ccel

erat

ion

in a

stra

ight

line

to s

olve

ki

nem

atic

s pr

oble

ms

M

otio

n in

a s

traig

ht li

ne

Ve

locity

Acce

lera

tion

Displacem

ent-

tim

e an

d ve

loci

ty ti

me

grap

hs

Eq

uatio

n of

mot

ion

for

cons

tant

line

ar

acce

lera

tion

Ve

rticalm

otionunder

grav

ity

M

otio

n an

d co

nsta

nt

velo

city

Discussing distance(x)

displacement(s),speed,

velocity(v)a

nd

acceleration(a)

Sk

etch

ing

the

grap

hs o

f:

- (x

-t)

- (s

-t)

- (v

-t)

- (a

-t)

In

terp

retin

g the(x

-t),(s-t),

(v-t)and(a

-t)graphs

Deriving

the

equa

tions

of

mot

ion

of a

par

ticle

with

co

nsta

nt a

ccel

erat

ion

in a

st

raig

ht li

ne

So

lvin

g ki

nem

atic

s pr

oble

ms

Rep

rese

ntin

g lif

e ph

enom

ena

usin

g m

athe

mat

ical

mod

els

invo

lvin

g ki

nem

atic

s of

m

otio

n in

a s

traig

ht li

ne a

nd

exploringtheira

pplications

in li

fe

ICTtools

Geo

-boa

rd

En

viro

nmen

t

Relevanttexts

Brai

lle m

ater

ial a

nd

equi

pmen

t

Talk

ing

book

s

Mec

hani

cal M

athe

mat

ics

Sylla

bus

Form

s 5

- 6

Mec

hani

cal M

athe

mat

ics

Sylla

bus

Form

s 5

- 6

9

TOPI

C 4

: NEW

TON

’S L

AWS

OF

MO

TIO

N

Mec

hani

cal M

athe

mat

ics S

ylla

bus F

orm

5 –

6 2

016

1

4 T

OPI

C 4

: NEW

TON

’S L

AWS

OF

MO

TIO

N

SUB

TOPI

C

LEAR

NIN

G O

BJE

CTI

VES

Lear

ners

sho

uld

be a

ble

to:

CO

NTE

NT(

Atti

tude

s, s

kills

an

d K

now

ledg

e)

SUG

GES

TED

NO

TES

AND

AC

TIVI

TIES

SU

GG

ESTE

D

RES

OU

RC

ES

New

ton’

s L

aws

of

mot

ion

st

ate

New

ton’

s la

ws

of m

otio

n

appl

y N

ewto

n’s

law

s of

mot

ion

to

solv

e pr

oble

ms

invo

lvin

g li

near

m

otio

n of

a b

ody

of c

onst

ant m

ass

mov

ing

unde

r the

act

ion

of

cons

tant

forc

es

so

lve

prob

lem

s us

ing

the

rela

tions

hip

betw

een

mas

s an

d w

eigh

t

solv

e pr

oble

ms

invo

lvin

g th

e motionoftw

oparticles,connected

byalightinextensiblestringwhich

maypassoverafixed,smooth,

light

pul

ley

or p

eg

mod

el th

e m

otio

n of

the

body

m

ovin

g ve

rtica

lly o

r on

an in

clin

ed

plan

e as

mot

ion

with

con

stan

t ac

cele

ratio

n

N

ewto

n’s

law

s of

mot

ion

M

otio

n ca

used

by

a se

t of

forc

es

Conceptofm

assand

wei

ght

M

otio

n of

con

nect

ed

objects

Discussingthe

New

ton’

s la

ws

of m

otio

n

Appl

ying

New

ton’

s la

ws

of

mot

ion

to s

olve

pro

blem

s in

volv

ing

line

ar m

otio

n of

a

body

of c

onst

ant m

ass

mov

ing

unde

r the

act

ion

of

cons

tant

forc

es

So

lvin

g pr

oble

ms

usin

g th

e re

latio

nshi

p be

twee

n m

ass

and

wei

ght

So

lvin

g pr

oble

ms

invo

lvin

g themotionoftw

oparticles,

conn

ecte

d by

a li

ght

inextensiblestringwhich

maypassoverafixed,

smooth,lightpulleyorpeg

Mod

ellin

g th

e m

otio

n of

a

body

mov

ing

verti

cally

or o

n an

incl

ined

pla

ne a

s m

otio

n w

ith c

onst

ant a

ccel

erat

ion

ICTtools,

Relevanttexts

Brai

lle m

ater

ial a

nd

equi

pmen

t

Talk

ing

boo

ks

En

viro

nmen

t

Mec

hani

cal M

athe

mat

ics

Sylla

bus

Form

s 5

- 6

9

10

TOPI

C 5

: MO

TIO

N O

F A

PRO

JEC

TILE

Mec

hani

cal M

athe

mat

ics S

ylla

bus F

orm

5 –

6 2

016

1

5 TO

PIC

5: M

OTI

ON

OF

A PR

OJE

CTI

LE

SUB

TOPI

C

LEAR

NIN

G O

BJE

CTI

VES

Lear

ners

sho

uld

be a

ble

to:

CO

NTE

NT(

Atti

tude

s, s

kills

an

d K

now

ledg

e)

SUG

GES

TED

NO

TES

AND

AC

TIVI

TIES

SU

GG

ESTE

D

RES

OU

RC

ES

Mot

ion

of a

pro

ject

ile

m

odel

the motionofaprojectileas

a pa

rticl

e m

ovin

g w

ith c

onst

ant

acce

lera

tion

so

lve

prob

lem

s on

the

mot

ion

of

projectilesusing

hor

izon

tal a

nd

verti

cal e

quat

ions

of m

otio

n

fin

d th

e m

agni

tude

and

the

di

rect

ion

of th

e ve

loci

ty o

f a

parti

cle

at a

giv

en ti

me

fin

d th

e ra

nge

on th

e ho

rizon

tal

plan

e an

d he

ight

reac

hed

de

rive

form

ulae

for g

reat

est h

eigh

t andmaximum

range

derivetheCartesianequationofa

trajectoryofaprojectile

solv

e pr

oble

ms

usin

g th

e Cartesianequationofatrajectory

ofaprojectile

Projectil

e - Motionofaprojectile

- Ve

locityand

disp

lace

men

ts

R

ange

on

horiz

onta

l pl

ane

G

reat

est h

eigh

t

Maximum

range

C

arte

sian

equ

atio

n of

a

trajectoryofaprojectile

M

odel

ling

the

mot

ion

of a

projectileasaparticle

mov

ing

with

con

stan

t ac

cele

ratio

n

Appl

ying

hor

izon

tal a

nd

verti

cal e

quat

ions

of m

otio

n in

sol

ving

pro

blem

s on

the

motionofprojectiles

Calculating

the

mag

nitu

de

and

the

dire

ctio

n of

the

ve

loci

ty o

f a p

artic

le a

t a

give

n tim

e

Fi

ndin

g th

e ra

nge

on th

e ho

rizon

tal p

lane

and

hei

ght

reac

hed

Derivin

g fo

rmul

ae fo

r gr

eate

st h

eigh

t and

maximum

range

DerivingtheCartesian

equationofatrajectoryofa

projectile

So

lvin

g pr

oble

ms

usin

g Cartesianequationofa

tra

jectoryofaprojectile

ICTtools,

Relevanttexts

Envi

ronm

ent

B

raille

mat

eria

l

and

equi

pmen

t

Talk

ing

book

s

Mec

hani

cal M

athe

mat

ics

Sylla

bus

Form

s 5

- 6

Mec

hani

cal M

athe

mat

ics

Sylla

bus

Form

s 5

- 6

11

TOPI

C 6

: M

OM

ENTU

M A

ND

IMPU

LSE

Mec

hani

cal M

athe

mat

ics S

ylla

bus F

orm

5 –

6 2

016

1

6 TO

PIC

6:

MO

MEN

TUM

AN

D IM

PULS

E

SU

B T

OPI

C

LEAR

NIN

G O

BJE

CTI

VES

Le

arne

rs s

houl

d be

abl

e to

: C

ON

TEN

T (A

ttitu

des,

Ski

lls a

nd

Kno

wle

dge)

SUG

GES

TED

NO

TES

AND

AC

TIVI

TIES

SU

GG

ESTE

D

RES

OU

RC

ES

Mom

entu

m a

nd

Impu

lse

de

fine

linea

r mom

entu

m

calc

ulat

e m

omen

tum

defin

e im

puls

e

calc

ulat

e im

puls

e

de

scrib

e co

nser

vatio

n of

line

ar

mom

entu

m

so

lve

prob

lem

s in

volv

ing

cons

erva

tion

of li

near

m

omen

tum

M

omen

tum

Im

puls

e

R

elat

ion

betw

een

mom

entu

m a

nd im

puls

e

Impu

lse

forc

es

Collision

C

onse

rvat

ion

of li

near

m

omen

tum

Discussinglinear

mom

entu

m

Calculatingmom

entum

Discussingimpulse

Calculatingimpulse

D

escr

ibin

g co

nser

vatio

n of

lin

ear m

omen

tum

Solv

ing

pro

blem

s in

volv

ing

cons

erva

tion

of li

near

m

omen

tum

Discussingtherelationship

betw

een

mom

entu

m a

nd

impu

lse

R

epre

sent

ing

life

phen

omen

a us

ing

mat

hem

atic

al m

odel

s in

volv

ing

mom

entu

m a

nd

impulseandexploringtheir

appl

icat

ions

in li

fe

ICTtools

Relevanttexts

Envi

ronm

ent

Br

aille

mat

eria

l

and

equi

pmen

t

Talk

ing

book

s

Mec

hani

cal M

athe

mat

ics

Sylla

bus

Form

s 5

- 6

11 12

8.2

FO

RM

(6)

TOPI

C 7

: C

ENTR

E O

F M

ASS

Mec

hani

cal M

athe

mat

ics S

ylla

bus F

orm

5 –

6 2

016

1

7 8.

2 F

OR

M (6

) SIX

TOPI

C 7

: C

ENTR

E O

F M

ASS

SU

B T

OPI

C

LEAR

NIN

G O

BJE

CTI

VES

Le

arne

rs s

houl

d be

abl

e to

: C

ON

TEN

T (A

ttitu

des,

Ski

lls a

nd

Kno

wle

dge)

SUG

GES

TED

NO

TES

AND

AC

TIVI

TIES

SU

GG

ESTE

D

RES

OU

RC

ES

Cen

tre

of m

ass

de

fine

cent

re o

f gra

vity

defin

e ce

ntre

of m

ass

de

term

ine

the

posi

tion

of th

e ce

ntre

of

mas

s of

the

follo

win

g un

iform

la

min

as:

- st

raig

ht ro

d -

circ

ular

hoo

p -

rect

angu

lar d

isc

- ci

rcul

ar d

isc

- so

lid o

r hol

low

cyl

inde

r -

solid

or h

ollo

w s

pher

e -

trian

gula

r

dete

rmin

e th

e po

sitio

n of

cen

tre o

f m

ass

of a

com

poun

d la

min

a

so

lve

prob

lem

s in

volv

ing

unifo

rm

lam

inas

solv

e pr

oble

ms

invo

lvin

g co

mpo

und

lam

inas

so

lve

prob

lem

s in

volv

ing

a bo

dy

susp

ende

d fro

m a

poi

nt a

nd th

e to

pplin

g or

slid

ing

of a

bod

y on

an

incl

ined

pla

ne

Centreofgravity

Centreofm

ass

Centreofm

assofa

unifo

rm la

min

a

Centreofm

ass

of

com

poun

d la

min

a

Susp

ende

d bo

dies

Slid

ing

and

topp

ling

bodi

es

Discussing

cent

re o

f gra

vity

Discussing

cent

re o

f mas

s

Determining

the

posi

tion

of

the

cent

re o

f mas

s of

the

follo

win

g un

iform

lam

inas

: -

stra

ight

rod

- ci

rcul

ar h

oop

- re

ctan

gula

r dis

c -

circ

ular

dis

c -

solid

or h

ollo

w c

ylin

der

- so

lid o

r hol

low

sph

ere

- tri

angu

lar

de

term

inin

g th

e po

sitio

n of

ce

ntre

of m

ass

of a

co

mpo

und

lam

ina

Solv

ing

prob

lem

s in

volv

ing

unifo

rm a

nd c

ompo

und

lam

inas

Solv

ing

prob

lem

s in

volv

ing

a bo

dy s

uspe

nded

from

a p

oint

an

d th

e to

pplin

g or

slid

ing

of

a bo

dy o

n an

incl

ined

pla

ne

R

epre

sent

ing

life

phen

omen

a us

ing

mat

hem

atic

al m

odel

s in

volv

ing

cent

re o

f mas

s an

d

ICTtools

Relevanttexts

Envi

ronm

ent

Br

aille

mat

eria

l

and

equi

pmen

t

Talk

ing

book

s

Mec

hani

cal M

athe

mat

ics

Sylla

bus

Form

s 5

- 6

13

Mec

hani

cal M

athe

mat

ics S

ylla

bus F

orm

5 –

6 2

016

1

8 S

UB

TO

PIC

LE

ARN

ING

OB

JEC

TIVE

S

Lear

ners

sho

uld

be a

ble

to:

CO

NTE

NT

(Atti

tude

s, S

kills

and

K

now

ledg

e)

SUG

GES

TED

NO

TES

AND

AC

TIVI

TIES

SU

GG

ESTE

D

RES

OU

RC

ES

exploringtheira

pplicationsin

life

TOPI

C 8

: EL

AST

ICIT

Y

Mec

hani

cal M

athe

mat

ics S

ylla

bus F

orm

5 –

6 2

016

1

9 TO

PIC

8:

ELAS

TIC

ITY

SU

B T

OPI

C

LEAR

NIN

G O

BJE

CTI

VES

Le

arne

rs s

houl

d be

abl

e to

: C

ON

TEN

T (A

ttitu

des,

Ski

lls a

nd

Kno

wle

dge)

SUG

GES

TED

NO

TES

AND

AC

TIVI

TIES

SU

GG

ESTE

D

RES

OU

RC

ES

Elas

ticity

de

fine

elas

ticity

in s

tring

s an

d sp

rings

expl

ain

Hoo

ke’s

law

calc

ulat

e m

odul

us o

f ela

stic

ity

solv

e pr

oble

ms

invo

lvin

g fo

rces

due

to

ela

stic

stri

ngs

or s

prin

gs in

clud

ing

thos

e w

here

con

side

ratio

n of

wor

k an

d en

ergy

are

nee

ded

Pr

oper

ties

of e

last

ic s

tring

s an

d sp

rings

W

ork

done

in s

tretc

hing

a

strin

g

El

astic

pot

entia

l ene

rgy

Mec

hani

cal e

nerg

y

Conservation

of

mec

hani

cal e

nerg

y

Discussing

elas

ticity

in

strin

gs a

nd s

prin

gs

Ex

plaini

ng H

ooke

’s la

w

Calculating

mod

ulus

of

elas

ticity

So

lvin

g pr

oble

ms

invo

lvin

g fo

rces

due

to e

last

ic s

tring

s or

spr

ings

incl

udin

g th

ose

whe

re c

onsi

dera

tion

of w

ork

and

ener

gy a

re n

eede

d

Rep

rese

ntin

g lif

e ph

enom

ena

usin

g m

athe

mat

ical

mod

els

invo

lvin

g el

astic

ity a

nd

exploringtheira

pplicationsin

life

ICTtools

Relevanttexts

Envi

ronm

ent

Br

aille

mat

eria

l

and

equi

pmen

t

Talk

ing

book

s

Mec

hani

cal M

athe

mat

ics

Sylla

bus

Form

s 5

- 6

Mec

hani

cal M

athe

mat

ics

Sylla

bus

Form

s 5

- 6

14

TOPI

C 9

: EN

ERG

Y, W

OR

K A

ND

PO

WER

Mec

hani

cal M

athe

mat

ics S

ylla

bus F

orm

5 –

6 2

016

2

0 TO

PIC

9: E

NER

GY,

WO

RK

AN

D P

OW

ER

SUB

TOPI

C

LEAR

NIN

G O

BJE

CTI

VES

Lear

ners

sho

uld

be a

ble

to:

CO

NTE

NT

( Atti

tude

s, s

kills

an

d K

now

ledg

e)

SUG

GES

TED

NO

TES

AND

AC

TIVI

TIES

SU

GG

ESTE

D

RES

OU

RC

ES

Ener

gy, W

ork

and

Pow

er

explaintheconceptsof

gravitational,elasticandk

inet

ic

pote

ntia

l ene

rgy

so

lve

prob

lem

s us

ing

the

prin

cipl

e of

ene

rgy

cons

erva

tion

de

scrib

e th

e co

ncep

t of w

ork

done

by

a fo

rce

ca

lcul

ate

wor

k do

ne b

y a

cons

tant

fo

rce

whe

n its

poi

nt o

f app

licat

ion

unde

rgoe

s a

disp

lace

men

t

defin

e po

wer

calc

ulat

e po

wer

so

lveproblemsinvolvingenergy,

wor

k an

d po

wer

En

ergy

-

Gravitationalpotential

-

Elas

tic p

oten

tial

- Ki

netic

-

Wor

k

Pow

er

Pr

inci

ple

of e

nerg

y co

nser

vatio

n

Discussingconceptsof

gravitational,elasticand

kine

tic p

oten

tial e

nerg

y

Conductingexperim

entsto

dem

onst

rate

con

serv

atio

n of

en

ergy

suc

h as

fallin

g objects

C

alcu

latin

g po

wer

Solv

ing

prob

lem

s in

volv

ing

energy,w

orkandpower

Rep

rese

ntin

g lif

e ph

enom

ena

usin

g m

athe

mat

ical

mod

els

involvingenergy,w

orkand

powerandexploringtheir

appl

icat

ions

in li

fe

ICTtools

Relevanttexts

Envi

ronm

ent

Br

aille

mat

eria

l

and

equi

pmen

t

Talk

ing

book

s

Mec

hani

cal M

athe

mat

ics

Sylla

bus

Form

s 5

- 6

14 15

TOPI

C 1

0: C

IRC

ULA

R M

OTI

ON

(Ver

tical

and

Hor

izon

tal)

Mec

hani

cal M

athe

mat

ics S

ylla

bus F

orm

5 –

6 2

016

2

1 TO

PIC

10:

CIR

CU

LAR

MO

TIO

N (V

ertic

al a

nd H

oriz

onta

l)

SU

B T

OPI

C

LEAR

NIN

G O

BJE

CTI

VES

Le

arne

rs s

houl

d be

abl

e to

: C

ON

TEN

T (A

ttitu

des,

Ski

lls a

nd

Kno

wle

dge)

SUG

GES

TED

NO

TES

AND

AC

TIVI

TIES

SU

GG

ESTE

D

RES

OU

RC

ES

Circ

ular

mot

ion

(Ver

tical

and

H

oriz

onta

l)

explaintheconceptofangular

spee

d fo

r a p

artic

le m

ovin

g in

a

circ

le w

ith c

onst

ant s

peed

dist

ingu

ish

betw

een

horiz

onta

l and

ve

rtica

l mot

ion

ca

lcul

ate

ang

ular

spe

ed fo

r a

parti

cle

mov

ing

in a

circ

le w

ith

cons

tant

spe

ed

ca

lcul

ate

acce

lera

tion

of a

par

ticle

m

ovin

g in

a c

ircle

with

con

stan

t sp

eed

so

lve

prob

lem

s w

hich

can

be

mod

elle

d as

the

mot

ion

of a

pa

rticl

e m

ovin

g in

a h

oriz

onta

l ci

rcle

with

con

stan

t spe

ed

so

lve

prob

lem

s w

hich

can

be

mod

elle

d as

the

mot

ion

of a

pa

rticl

e m

ovin

g in

a v

ertic

al c

ircle

w

ith c

onst

ant s

peed

find

the

rela

tions

hip

betw

een

angu

lar a

nd li

near

spe

ed

calc

ulat

e th

e te

nsio

n in

the

strin

g an

d an

gula

r spe

ed in

a c

onic

al

pend

ulum

so

lve

prob

lem

s in

volv

ing

bank

ed

track

s.

An

gula

r spe

ed a

nd v

eloc

ity

Horizontalandvertical

circ

ular

mot

ion

A

ccel

erat

ion

of a

par

ticle

m

ovin

g on

a c

ircle

M

otio

n in

a c

ircle

with

co

nsta

nt s

peed

R

elat

ion

betw

een

angu

lar

and

linea

r spe

ed

Con

ical

pen

dulu

m

Bank

ed tr

acks

Discussingtheco

ncep

t of

angu

lar s

peed

for a

par

ticle

m

ovin

g in

a c

ircle

with

con

stan

t sp

eed

Distinguishingbetweenthe

conc

epts

of h

oriz

onta

l and

ve

rtica

l mot

ion

in a

circ

le

Com

putingangularspeedfor

a pa

rticl

e m

ovin

g in

a c

ircle

w

ith c

onst

ant s

peed

Calculatingaccele

ratio

n of

a

parti

cle

mov

ing

in a

circ

le w

ith

cons

tant

spe

ed

So

lvin

g pr

oble

ms

whi

ch c

an b

e m

odel

led

as th

e m

otio

n of

a

parti

cle

mov

ing

in a

hor

izon

tal

and

verti

cal c

ircle

with

con

stan

t sp

eed

Discussingtherelationship

betw

een

angu

lar a

nd li

near

sp

eed

Com

putin

g th

e te

nsio

n in

the

strin

g an

d an

gula

r spe

ed in

co

nica

l pen

dulu

m

R

epre

sent

ing

life

phen

omen

a us

ing

mat

hem

atic

al m

odel

s in

volv

ing

circ

ular

mot

ion

and

exploringtheira

pplicationsin

life

ICTtools

Relevanttexts

Envi

ronm

ent

Si

mpl

e pe

ndul

um

Br

aille

mat

eria

l

and

equi

pmen

t

Talk

ing

book

s

Mec

hani

cal M

athe

mat

ics

Sylla

bus

Form

s 5

- 6

Mec

hani

cal M

athe

mat

ics

Sylla

bus

Form

s 5

- 6

16

TOPI

C 1

1: L

INEA

R M

OTI

ON

UN

DER

A V

AR

IAB

LE F

OR

CE

Mec

hani

cal M

athe

mat

ics S

ylla

bus F

orm

5 –

6 2

016

2

2 TO

PIC

11:

LIN

EAR

MO

TIO

N U

ND

ER A

VAR

IAB

LE F

OR

CE

SU

B T

OPI

C

LEAR

NIN

G O

BJE

CTI

VES

Le

arne

rs s

houl

d be

abl

e to

: C

ON

TEN

T (A

ttitu

des,

Ski

lls a

nd

Kno

wle

dge)

SUG

GES

TED

NO

TES

AND

AC

TIVI

TIES

SU

GG

ESTE

D

RES

OU

RC

ES

Line

ar m

otio

n un

der a

var

iabl

e fo

rce

us

e di

ffere

ntia

tion

to o

btai

n ve

loci

ty a

nd a

ccel

erat

ion

expressdisplacementasa

func

tion

of ti

me

expressvelocityasafunctionof

disp

lace

men

t

expressaccelerationasafunction

of v

eloc

ity

so

lve

prob

lem

s w

hich

can

be

mod

elle

d by

the

linea

r mot

ion

of a

pa

rticl

e m

ovin

g un

der t

he a

ctio

n of

va

riabl

e fo

rce

by s

ettin

g up

ap

prop

riate

diff

eren

tial e

quat

ions

M

otio

n in

a s

traig

ht li

ne w

ith

acce

lera

tion

that

var

ies

with

tim

e

Velocityasafunctionof

disp

lace

men

t

Variablemotioninthex-

y pl

ane

Fi

rst o

rder

diff

eren

tial

equa

tions

with

sep

arab

le

varia

bles

New

ton’

s se

cond

law

of

motion(variableforce)

Ap

plyi

ng d

iffer

entia

tion

to o

btai

n ve

loci

ty a

nd a

ccel

erat

ion

Ex

pressi

ng d

ispl

acem

ent a

s a

func

tion

of ti

me

Ex

pressi

ng v

eloc

ity a

s a

func

tion

of d

ispl

acem

ent

Ex

pressi

ng a

ccel

erat

ion

as a

fu

nctio

n of

vel

ocity

Solv

ing

prob

lem

s w

hich

can

be

mod

elle

d by

the

linea

r mot

ion

of

a pa

rticl

e m

ovin

g un

der t

he

actio

n of

var

iabl

e fo

rce

by s

ettin

g up

app

ropr

iate

diff

eren

tial

equa

tions

ICTtools

Relevanttexts

Envi

ronm

ent

Br

aille

mat

eria

l

and

equi

pmen

t

Talk

ing

book

s

Mec

hani

cal M

athe

mat

ics

Sylla

bus

Form

s 5

- 6

16 17

TOPI

C 1

2: S

IMPL

E H

AR

MO

NIC

MO

TIO

N

Mec

hani

cal M

athe

mat

ics S

ylla

bus F

orm

5 –

6 2

016

2

3 T

OPI

C 1

2: S

IMPL

E H

ARM

ON

IC M

OTI

ON

SU

B T

OPI

C

LEAR

NIN

G O

BJE

CTI

VES

Le

arne

rs s

houl

d be

abl

e to

: C

ON

TEN

T (A

ttitu

des,

Ski

lls a

nd

Kno

wle

dge)

SUG

GES

TED

NO

TES

AND

AC

TIVI

TIES

SU

GG

ESTE

D

RES

OU

RC

ES

Sim

ple

harm

onic

m

otio

n

de

fine

sim

ple

harm

onic

mot

ion

solv

e pr

oble

ms

usin

g st

anda

rd s

impl

e ha

rmon

ic m

otio

n fo

rmul

a

fo

rmul

ate

diffe

rent

ial e

quat

ions

of

mot

ion

in p

robl

ems

lead

ing

to s

impl

e ha

rmon

ic m

otio

n

solv

e di

ffere

ntia

l equ

atio

ns in

volv

ing

sim

ple

harm

onic

mot

ion

to o

btai

n th

e pe

riod

and

ampl

itude

of t

he m

otio

n

Ba

sic

equa

tion

of s

impl

e ha

rmon

ic m

otio

n

Prop

ertie

s of

sim

ple

harm

onic

mot

ion

Sim

ple

pend

ulum

Discussing

sim

ple

harm

onic

m

otio

n

Solv

ing

prob

lem

s us

ing

stan

dard

sim

ple

harm

onic

m

otio

n fo

rmul

a

Setti

ng u

p di

ffere

ntia

l eq

uatio

ns o

f mot

ion

in

prob

lem

s le

adin

g to

sim

ple

harm

onic

mot

ion

So

lvin

g di

ffere

ntia

l equ

atio

ns

invo

lvin

g si

mpl

e ha

rmon

ic

mot

ion

to o

btai

n th

e pe

riod

and

ampl

itude

of t

he m

otio

n

Rep

rese

ntin

g lif

e ph

enom

ena

usin

g m

athe

mat

ical

mod

els

invo

lvin

g si

mpl

e ha

rmon

ic

motionandexploringtheir

appl

icat

ions

in li

fe

ICTtools

Relevanttexts

Envi

ronm

ent

Pe

ndul

um

Br

aille

mat

eria

l

and

equi

pmen

t

Talk

ing

book

s

9.0

Asse

ssm

ent

9.1

A

ssessm

entO

bjectives

Th

e as

sess

men

t will

test

can

dida

te’s

abi

lity

to:-

re

call

and

use

Mec

hani

cal

Mathematicsfacts,conceptsand

tech

niqu

es

in

terp

ret a

nd u

se M

echa

nica

l Mat

hem

atic

s da

ta, s

ymbo

ls a

nd te

rmin

olog

y

sket

ch a

nd in

terp

ret g

raph

s ac

cura

tely

form

ulat

e ap

prop

riate

Mec

hani

cal M

athe

mat

ics

mod

els

for g

iven

life

situ

atio

ns

18

9.0 Assessment

9.1 Assessment Objectives

Theassessmentwilltestcandidate’sabilityto:-

• recallanduseMechanicalMathematicsfacts,conceptsandtechniques• interpretanduseMechanicalMathematicsdata,symbolsandterminology• sketchandinterpretgraphsaccurately• formulateappropriateMechanicalMathematicsmodelsforgivenlifesituations• evaluateMechanicalMathematicsmodelsincludinganappreciationoftheassumptionsmadeandinterpret,justify

and present the result from a mathematical analysis in a form relevant to the original problem• recognisetheappropriateMechanicalMathematicsprocedureforagivensituation• formulateproblemsintoMechanicalMathematicsterms,selectandapplyappropriatetechniquesofsolutions• conductresearchprojectrelatedtoMechanicalMathematics• constructMechanicalMathematicsargumentsthroughappropriateuseofprecisestatements,logicaldeduction

andinferenceandbythemanipulationofmathematicalexpressions

9.2 Scheme of Assessment

Forms 5 - 6 Mechanical Mathematics assessment will be based on 30% continuous assessment and 70% summative assessment.Thesyllabus’schemeofassessmentisgroundedintheprincipleofequalisationofopportunitieshence,doesnotcon-done direct or indirect discrimination of learners.Arrangements,accommodationsandmodificationsmustbevisibleinbothcontinuousandsummativeassessmentsto enable candidates with special needs to access assessments and receive accurate performance measurement of their abilities. Access arrangements must neither give these candidates an undue advantage over others nor compro-mise the standards being assessed.Candidateswhoareunabletoaccesstheassessmentsofanycomponentorpartofcomponentduetodisability(tran-sitoryorpermanent)maybeeligibletoreceiveanawardbasedontheassessmenttheywouldhavetaken.NBForfurtherdetailsonarrangements,accommodationsandmodificationsrefertotheassessmentprocedurebook-let.a) ContinuousAssessmentContinuousassessmentforForm5–6willconsistsoftopictasks,writtentests,endoftermexaminations,projectandprofilingtomeasuresoftskills

i. Topic Tasks Theseareactivitiesthatteachersuseintheirdaytodayteaching.Theseshouldincludepracticalactivities,assign-ments and group work activities.

ii. Written TestsThese are tests set by the teacher to assess the concepts covered during a given period of up to a month. The tests should consist of short structured questions as well as long structured questions.

iii. EndoftermexaminationsThesearecomprehensivetestsofthewholeterm’soryear’swork.Thesecanbesetatschool,districtorprovinciallevel.iv. ProjectThisshouldbedonefromtermtwototermfive.



19

SummaryofContinuousAssessmentTasks

Fromtermtwotofive,candidatesareexpectedtohavedonethefollowingrecordedtasks:

• 1Topictaskperterm• 2Writtentestsperterm• 1Endoftermtestperterm• 1Projectinfourterms

Mechanical Mathematics Syllabus Form 5 – 6 2016 25

iii. End of term examinations

These are comprehensive tests of the whole term’s or year’s work.Thesecanbesetatschool,districtorprovincial level.

iv. Project This should be done from term two to term five.

Summary of Continuous Assessment Tasks

From term two to five, candidatesareexpectedtohavedonethefollowing recorded tasks:

1 Topic task per term 2 Written tests per term 1 End of term test per term 1Project in four terms

Detailed Continuous Assessment Tasks Table

Term Number of Topic Tasks

Number of Written Tests Number of End Of Term Tests

Project Total

2 1 2 1 1

3 1 2 1

4 1 2 1

5 1 2 1

Weighting 25% 25% 25% 25% 100%

Actual Weight 7.5% 7.5% 7.5% 7.5% 30%

SpecificationGridforContinuousAssessment

Component Skills Topic Tasks

Written Tests End of Term Project


Skill 1

Knowledge &

Comprehensive

50% 50% 50% 20%

Skill 2

Application &

Analysis

40% 40% 40% 40%

Skill 3

Synthesis &

Evaluation

10% 10% 10% 40%

Total 100% 100% 100% 100%

Actual weighting 7.5% 7.5% 7.5% 7.5%

b. Summative Assessment

Theexaminationwillconsistof2papers:paper1andpaper2,eachtobewrittenin3hours

The table below shows the information on weighting and types of papers to be offered.

Paper 1 Paper 2 Total

Weighting 35% 35% 70%

Type of Paper

Approximately15Shortanswer structured questions,where candidates answer all questions

8 structured questions where candidates answer any 5 ,andeach question carrying 20 marks

Marks 100 100 200

Specification Grid for Summative Assessment

20



Skill 1

Knowledge &

Comprehensive

50% 50% 50% 20%

Skill 2

Application &

Analysis

40% 40% 40% 40%

Skill 3

Synthesis &

Evaluation

10% 10% 10% 40%

Total 100% 100% 100% 100%

Actual weighting 7.5% 7.5% 7.5% 7.5%

b. Summative Assessment

Theexaminationwillconsistof2papers:paper1andpaper2,eachtobewrittenin3hours

The table below shows the information on weighting and types of papers to be offered.

Paper 1 Paper 2 Total


Type of Paper

Approximately15Shortanswer structured questions,where candidates answer all questions

8 structured questions where candidates answer any 5 ,andeach question carrying 20 marks

Marks 100 100 200

Specification Grid for Summative Assessment


Paper 1 Paper 2 Total Weighting

Skill 1

Knowledge &

Comprehension

50% 30% 80% 28%

Skill 2

Application &

Analysis

40% 50% 90% 31,5%

Skill 3

Synthesis &

Evaluation

10% 20% 30% 10,5%

Total 100% 100% 200%


9.3 ASSESSMENT MODEL

Learners will be assessed using both continuous and summative assessments.

Assessment of learner performance in Mechanical Mathematics

100%

Continuousassessment 30%

Profiling

End of term Tests 7.5%

Written Tests

7.5%

Topic Tasks 7.5%

Summative assessment 70%

Paper 1 35%

Paper 2 35%

Project

7.5%


ASSESSMENT OF LEARNER PERFORMANCE IN MECHANICAL MATHEMATICS 100%

CONTINUOUS ASSESSMENT 30%

CONTINUOUS ASSESSMENT 30%

SUMMATIVE ASSESSMENT 70%

SUMMATIVE ASSESSMENT 70%

Topic Tasks 7.5%

PROFILING

PROFILE

EXIT PROFILE

Written Tests 7.5%

End of term Tests 7.5%

FINAL MARK100%

Project7.5%

Paper 1 35%

Paper 2 35%

21

9.3 ASSESSMENT MODELLearners will be assessed using both continuous and summative assessments

PB MECHANICAL MATHEMATICS SYLLABUS

Documents

Transcript of PB MECHANICAL MATHEMATICS SYLLABUS