addendum a to chapter 9 support in a... · 2 practice 354 addendum a to chapter 9 national...

PART 2 PRACTICE

354

Addendum A to Chapter 9

NATIONAL CURRICULUM OUTCOMES PER GRADE

A. Content area: Numbers, operations and relationships

Gr. R

Gr. 1

Gr. 2

Gr. 3

Gr. 4

Gr. 5

Gr. 6

Coun

ting

(num

-be

r ran

ge)

1–10

1–10

01–

200

1–1

000

1–10

000

1–10

000

Also

in d

ecim

als

Orde

rs a

nd

com

pare

s an

d un

ders

tand

pl

ace

valu

e

1–10

(n

o pl

ace

valu

e)1–

20

(pla

ce v

alue

: 11

–20)

1–10

01–

999

to 4

-dig

it nu

m-

bers

to 6

-dig

it nu

m-

bers

to 9

-dig

it

num

bers

Writ

ten

calc

ula-

tions

and

pro

b-le

m s

olvi

ng

No w

ritte

n ca

lcu-

latio

ns;

info

rmal

ver

bal

prob

lem

sol

ving

.

+ an

d –

and

repe

ated

add

i-tio

n:

up to

20

+ an

d –

up to

10

0;

×: 2

-dig

it by

1-

digi

t < 1

00;

÷: 1

-dig

it by

1-

digi

t num

bers

+ an

d –

up to

99

9;

×: 2

-dig

it by

1-

digi

t num

bers

; ÷:

2-d

igit

num

-be

rs b

y 1-

digi

t nu

mbe

rs

+ an

d –

up to

9

999;

×:

2-d

igit

by

2-di

git n

umbe

rs;

÷: 3

-dig

it by

1-

digi

t num

bers

+ an

d –

up to

99

999

; ×:

3-d

igit

by

2-di

git n

umbe

rs;

÷: 3

-dig

it by

2-

digi

t num

bers

+ an

d –

up to

6-

digi

ts a

nd

mor

e ×:

4-d

igit

by

3-di

git n

umbe

rs;

÷: 4

-dig

it by

3-

digi

t num

bers

Men

tal M

aths

none

+ an

d –:

ans

wer

s in

dom

ain

0–20

(w

ith

conc

rete

app

ara-

tus

if ne

cess

ary)

+, –

and

×:

answ

ers

in

dom

ain

0–20

+, –

and

×

answ

ers

in

dom

ain

0–50

+: a

dd

1-di

git t

o 3-

digi

t nu

mbe

rs

–: s

ubtra

ct

1-di

git f

rom

3-

digi

t num

bers

×:

to 1

0×10

÷:

reci

proc

al re

la-

tions

hip

betw

een

× an

d ÷

+: a

dd

1-di

git t

o 3-

digi

t nu

mbe

rs

–: s

ubtra

ct

2-di

git f

rom

4-

digi

t num

bers

×:

to 1

0×10

; ÷:

reci

proc

al re

la-

tions

hip

betw

een

× an

d ÷

+ an

d –:

as

prev

i-ou

s, b

ut a

lso:

14

7–M

=28

×: to

12×

12;

÷: d

ivis

ibili

ty

rule

s fo

r: 2,

5, 1

0, 1

00 a

nd

1 00

0

1. T

op

ic: W

ho

le n

um

be

rs

SUPPORTING LEARNERS IN ACQUIRING THE SKILL OF MATHEMATISATION

355

92.

To

pic

: Fra

ctio

ns

Gr. R

Gr. 1

Gr. 2

Gr. 3

Gr. 4

Gr. 5

Gr. 6

Com

mon

fra

ctio

nsIn

form

al p

robl

em

solv

ing:

sha

ring

and

grou

ping

up

to 1

0 th

at in

clud

es

rem

aind

ers.

Info

rmal

pro

blem

so

lvin

g:

shar

ing

and

grou

ping

up

to

10 th

at in

clud

es

rem

aind

ers.

Orde

r and

com

-pa

re h

alve

s an

d qu

arte

rs:

Prob

lem

sol

ving

: eq

ual s

harin

g an

d gr

oupi

ng w

ith

who

le n

umbe

rs

that

may

lead

to

unita

ry fr

actio

ns

(up

to 2

0).

Orde

r and

com

pare

ha

lves

, eig

hths

, six

ths,

qu

arte

rs a

nd th

irds

Prob

lem

sol

ving

: eq

ual s

harin

g an

d gr

oupi

ng w

ith w

hole

nu

mbe

rs th

at m

ay

lead

to re

mai

nder

s as

un

itary

frac

tions

(u

p to

50)

.

+ an

d –

(sam

e de

nom

-in

ator

s) u

p to

eig

hts.

Prob

lem

sol

ving

as

equa

l sha

ring

with

re

mai

nder

s ex

pres

sed

as u

nita

ry fr

actio

ns.

+ an

d –

(sam

e de

nom

-in

ator

s) u

p to

twel

fths

(incl

udin

g m

ixed

fra

ctio

n)

Calc

ulat

e fra

ctio

ns

of w

hole

num

bers

(r

esul

ting

in w

hole

nu

mbe

rs).

Prob

lem

sol

ving

with

co

mm

on fr

actio

ns.

+ an

d –

deno

min

ator

s:

mul

tiple

s of

eac

h ot

her:

tent

hs to

hu

ndre

ds

+ an

d –

of m

ixed

frac

-tio

ns. A

lso

in p

robl

em

solv

ing.

Deci

mal

fra

ctio

nsn/

an/

an/

an/

aIn

con

text

of m

ea-

sure

men

t com

pare

an

d de

scrib

e 0,

5; 1

,5;

2,5

etc.

Prob

lem

sol

ving

in

clud

ing

deci

mal

s.

In c

onte

xt o

f mea

-su

rem

ent c

ompa

re

and

desc

ribe

0,5;

1,5

; 2,

5 et

c.

Prob

lem

sol

ving

in

clud

ing

deci

mal

s.

Com

pare

dec

imal

s to

at l

east

2 d

ecim

al

plac

es

+ an

d –

of p

ositi

ve

deci

mal

s w

ith a

t lea

st

two

deci

mal

pla

ces.

Prob

lem

sol

ving

in

clud

ing

deci

mal

s.

Equi

vale

nt fo

rms

n/a

n/a

n/a

n/a

Reco

gnis

ing

and

usin

g eq

uiva

lent

form

s (d

enom

inat

ors

whi

ch

are

mul

tiple

s of

eac

h ot

her)

.

Reco

gnis

ing

and

usin

g eq

uiva

lent

form

of

deci

mal

frac

tion:

0,5

; 1,

5; 2

,5 e

tc.–

in c

on-

text

of m

easu

rem

ent.

Reco

gnis

ing

and

usin

g eq

uiva

lent

form

s (d

enom

inat

ors

whi

ch

are

mul

tiple

s of

eac

h ot

her)

.

Reco

gnis

ing

and

usin

g eq

uiva

lent

form

of

deci

mal

frac

tion:

0,5

; 1,

5; 2

,5 e

tc.–

in c

on-

text

of m

easu

rem

ent.

Reco

gnis

ing

and

usin

g eq

uiva

lent

form

s of

co

mm

on fr

actio

ns

with

1 /2-

digi

t den

omi-

nato

rs.

Equi

vale

nt fo

rms

of

deci

mal

frac

tions

to

at le

ast t

wo

deci

mal

pl

aces

.

Equi

vale

nt fo

rms

of

perc

enta

ges.

PART 2 PRACTICE

356

3. T

op

ic: F

inan

cial

Mat

hs

Gr. R

Gr. 1

Gr. 2

Gr. 3

Gr. 4

Gr. 5

Gr. 6

Fina

ncia

l Mat

hs /

mon

eyNo

form

al o

utco

mes

ID S

A co

ins

and

bank

note

s

Solv

e m

oney

pro

b-le

ms

in n

umbe

r ra

nge

0–20

and

ch

ange

in e

ither

R

or c

.

ID S

A co

ins

and

bank

note

s

Solv

e m

oney

pro

b-le

ms

in n

umbe

r ra

nge

0–10

0 an

d ch

ange

in e

ither

R

or c

.

ID S

A co

ins

and

bank

note

s

Solv

e m

oney

pro

b-le

ms

in n

umbe

r ra

nge

0–99

9 an

d ch

ange

in e

ither

R

or c

. As

wel

l as

conv

ertin

g be

twee

n R

and

c.

Buyi

ng a

nd s

ellin

g in

num

ber r

ange

0–

9 99

9

Sim

ple

budg

ets

Buyi

ng a

nd s

ellin

g in

num

ber r

ange

0–

99 9

99

Sim

ple

budg

ets

Profi

t and

loss

Buyi

ng a

nd s

ellin

g in

num

ber r

ange

to

9-di

gits

Sim

ple

budg

ets

Profi

t and

loss

Read

ing

and

inte

r-pr

etin

g ac

coun

ts

Calc

ulat

ing

disc

ount

4. R

atio

an

d r

ate

5.

Mu

ltip

les

and

fac

tors

6.

Pro

pe

rtie

s o

f ra

tio

nal

nu

mb

ers

Gr. R

Gr. 1

Gr. 2

Gr. 3

Gr. 4

Gr. 5

Gr. 6

Ratio

and

rate

n/a

n/a

n/a

n/a

Com

parin

g tw

o or

mor

e qu

an-

titie

s of

the

sam

e ki

nd (r

atio

)

Com

parin

g tw

o qu

antit

ies

of d

iffer

ent k

inds

(rat

e) in

ab

ove-

men

tione

d nu

mbe

r ra

nge

Com

parin

g tw

o or

mor

e qu

an-

titie

s of

the

sam

e ki

nd (r

atio

)

Com

parin

g tw

o qu

antit

ies

of d

iffer

ent k

inds

(rat

e) in

ab

ove-

men

tione

d nu

mbe

r ra

nge

Com

parin

g tw

o or

mor

e qu

antit

ies

of th

e sa

me

kind

(rat

io)

Com

parin

g tw

o qu

antit

ies

of d

iffer

ent

kind

s (r

ate)

in a

bove

-men

tione

d nu

mbe

r ra

nge

Mul

tiple

s an

d fa

ctor

sn/

an/

an/

an/

aM

ultip

les

of 1

-dig

it nu

mbe

rs to

at

leas

t 100

Mul

tiple

s of

2-d

igit

who

le

num

bers

to a

t lea

st 1

00; f

ac-

tors

of 2

-dig

it w

hole

num

bers

to

at l

east

100

Mul

tiple

s of

2 ⁄ 3-d

igit

who

le n

umbe

rs;

Fact

ors

of 2 ⁄ 3

-dig

it w

hole

num

bers

to a

t le

ast 1

00

Prim

e fa

ctor

s of

num

bers

to a

t lea

st 1

00

Prop

ertie

s of

ra

tiona

l num

-be

rs

n/a

n/a

n/a

n/a

Com

mut

ativ

e, a

ssoc

iativ

e an

d di

strib

utiv

e pr

oper

ties

of w

hole

nu

mbe

rs in

abo

ve-m

entio

ned

num

ber r

ange

Com

mut

ativ

e, a

ssoc

iativ

e an

d di

strib

utiv

e pr

oper

ties

of

who

le n

umbe

rs in

abo

ve-m

en-

tione

d nu

mbe

r ran

ge

Com

mut

ativ

e, a

ssoc

iativ

e an

d di

strib

utiv

e pr

oper

ties

of w

hole

num

bers

in a

bove

- m

entio

ned

num

ber r

ange

pr

oper

ties

of 0

and

1


357

9B

. Co

nte

nt

area

: Pat

tern

s, f

un

ctio

ns

and

alg

ebra

Top

ics:

1.

Nu

me

ric

and

ge

om

etr

ic p

atte

rns

Top

ics:

2.

Inp

ut

and

ou

tpu

t va

lue

s

Top

ics:

3.

Nu

mb

er

sen

ten

ces

Gr. R

Gr. 1

Gr. 2

Gr. 3

Gr. 4

Gr. 5

Gr. 6

Num

eric

and

ge

omet

ric

patte

rns

Copy

and

ext

end

sim

ple

patte

rns

usin

g ph

ysic

al

obje

cts

and

draw

-in

gs.

Crea

te n

ew p

at-

tern

s.

Copy

and

ext

end

sim

ple

patte

rns

usin

g ph

ysic

al

obje

cts

and

draw

-in

gs.

Copy

and

ext

end

sim

ple

num

ber

sequ

ence

s to

100

.

Crea

te n

ew p

at-

tern

s.

Desc

ribe

obse

rved

pa

ttern

s.

Copy

and

ext

end

sim

ple

patte

rns

usin

g ph

ysic

al o

bjec

ts a

nd

draw

ings

.

Copy

and

ext

end

sim

-pl

e nu

mbe

r seq

uenc

es

to 2

00.

Crea

te n

ew p

atte

rns.

Desc

ribe

obse

rved

pa

ttern

s ID

, des

crib

e an

d co

py g

eom

etric

pa

ttern

s in

nat

ural

and

cu

ltura

l arte

fact

s.

Copy

and

ext

end

sim

ple

patte

rns

usin

g ph

ysic

al o

bjec

ts a

nd

draw

ings

.

Copy

and

ext

end

sim

-pl

e nu

mbe

r seq

uenc

-es

to 1

000

.

Crea

te n

ew p

atte

rns.

Desc

ribe

obse

rved

pa

ttern

s ID

, des

crib

e an

d co

py g

eom

etric

pa

ttern

s in

nat

ural

and

cu

ltura

l arte

fact

s.

Now

als

o lo

ok fo

r re

latio

nshi

ps o

r ru

les

of p

atte

rns

and

desc

ribe

obse

rved

re

latio

nshi

ps o

r rul

es

in o

wn

wor

ds.

Obse

rved

rela

tion-

ship

s or

rule

s of

pa

ttern

s de

scrib

ed in

ow

n w

ords

.

Obse

rved

rela

tions

hips

or

rule

s of

pat

tern

s de

scrib

ed in

ow

n w

ords

.

Desc

ribe

gene

rate

d ru

les.

Inpu

t and

out

-pu

t val

ues

n/a

n/a

n/a

n/a

Dete

rmin

e ou

tput

va

lues

for g

iven

in

put v

alue

s us

ing

verb

al d

escr

iptio

n an

d flo

w d

iagr

ams.

Dete

rmin

e ou

tput

va

lues

for g

iven

in

put v

alue

s us

ing

verb

al d

escr

iptio

n an

d flo

w d

iagr

ams.

Dete

rmin

e ou

tput

val

ues

for g

iven

inpu

t val

ues,

or

inpu

t val

ues

for g

iven

ou

tput

val

ues

usin

g ve

rbal

des

crip

tion,

flow

di

agra

ms

and

tabl

es.

Num

ber s

en-

tenc

esn/

an/

an/

an/

aW

rite

num

ber s

en-

tenc

es to

des

crib

e pr

oble

m s

ituat

ions

. So

lve

and

com

plet

e nu

mbe

r sen

tenc

es

by:

Writ

e nu

mbe

r sen

-te

nces

to d

escr

ibe

prob

lem

situ

atio

ns.

Solv

e an

d co

mpl

ete

num

ber s

ente

nces

by

:

Writ

e nu

mbe

r sen

tenc

es

to d

escr

ibe

prob

lem

si

tuat

ions

. So

lve

and

com

plet

e nu

mbe

r sen

tenc

es b

y:

{

PART 2 PRACTICE

358

Gr. R

Gr. 1

Gr. 2

Gr. 3

Gr. 4

Gr. 5

Gr. 6

• in

spec

tion

• tri

al a

nd im

prov

emen

t•

subs

titut

ion.

Dete

rmin

e eq

uiva

lent

s of

di

ffere

nt d

escr

iptio

ns o

f sa

me

rela

tions

hip

or ru

le

pres

ente

d:•

verb

ally

• in

flow

dia

gram

s•

by n

umbe

r sen

tenc

e.

• in

spec

tion

• tri

al a

nd im

prov

emen

t•

subs

titut

ion.

Dete

rmin

e eq

uiva

lent

s of

di

ffere

nt d

escr

iptio

ns o

f sa

me

rela

tions

hip

or ru

le

pres

ente

d:•

verb

ally

• in

flow

dia

gram

s•

by n

umbe

r sen

tenc

e.

• in

spec

tion

• tri

al a

nd im

prov

emen

t•

subs

titut

ion.

Dete

rmin

e eq

uiva

lent

s of

di

ffere

nt d

escr

iptio

ns o

f sam

e re

latio

nshi

p or

rule

pre

sent

ed:

• ve

rbal

ly•

in fl

ow d

iagr

ams

• by

num

ber s

ente

nce

• ta

bles

.


359

9C.

Co

nte

nt

area

: Sp

ace

and

sh

ape

(geo

met

ry)

Top

ics:

1.

2-D

sh

ape

s an

d 3

-D o

bje

cts

Top

ics:

2.

Tran

sfo

rmat

ion

s (I

nte

rme

dia

te P

has

e o

nly

)

Gr. R

Gr. 1

Gr. 2

Gr. 3

Gr. 4

Gr. 5

Gr. 6

2-D

shap

es a

nd

3-D

obje

cts

Reco

gnis

es a

nd

nam

es 3

-D o

bjec

ts

in c

lass

room

and

on

pict

ures

(box

es a

nd

balls

).

Desc

ribes

, sor

ts a

nd

com

pare

s ph

ysic

al

3-D

obje

cts

acco

rd-

ing

to:

• si

ze•

obje

cts

that

roll

• ob

ject

s th

at s

lide.

Build

s 3-

D ob

ject

s us

ing

conc

rete

mat

e-ria

ls.

Reco

gnis

es a

nd

nam

es 2

-D s

hape

s an

d 3-

D ob

ject

s in

cl

assr

oom

and

on

pict

ures

:•

trian

gles

, rec

tan-

gles

, and

circ

les

• pr

ism

s an

d sp

here

s.

Desc

ribes

, sor

ts a

nd

com

pare

s ph

ysic

al

2-D

shap

es a

nd 3

-D

obje

cts

acco

rdin

g to

:•

size

• ob

ject

s th

at ro

ll/sl

ide

• sh

apes

that

hav

e st

raig

ht o

r rou

nd

edge

s.

Obse

rves

and

bui

lds

give

n 3-

D ob

ject

s us

ing

conc

rete

mat

e-ria

ls.

Reco

gnis

es a

nd

nam

es 2

-D s

hape

s an

d 3-

D ob

ject

s in

cl

assr

oom

and

on

pict

ures

:•

trian

gles

, rec

tan-

gles

, squ

ares

and

ci

rcle

s•

pris

ms,

cyl

inde

rs

and

sphe

res.

Desc

ribes

, sor

ts a

nd

com

pare

s ph

ysic

al

2-D

shap

es a

nd 3

-D

obje

cts

(pic

ture

s an

d en

viro

nmen

t) ac

cord

ing

to:

• si

ze

• ob

ject

s th

at ro

ll/sl

ide

• sh

apes

that

hav

e st

raig

ht o

r rou

nd

edge

s.

Obse

rves

and

bui

lds

give

n 2-

D sh

apes

an

d 3-

D ob

ject

s us

ing

conc

rete

mat

e-ria

ls.

Reco

gnis

es a

nd

nam

es 2

-D s

hape

s an

d 3-

D ob

ject

s in

cl

assr

oom

and

on

pict

ures

:•

trian

gles

, rec

tan-

gles

, squ

ares

and

ci

rcle

s•

pris

ms,

cyl

inde

rs,

cone

s, p

yram

ids

and

sphe

res.

Desc

ribes

, sor

ts a

nd

com

pare

s ph

ysic

al

2-D

shap

es a

nd 3

-D

obje

cts

(pic

ture

s an

d en

viro

nmen

t):•

2-D

shap

es in

th

e fa

ces

of 3

-D

obje

cts

• fla

t/stra

ight

and

ro

und/

curv

ed s

ur-

face

s an

d ed

ges.

Obse

rves

and

cr

eate

s gi

ven

and

desc

ribed

2-D

sh

apes

and

3-D

ob

ject

s us

ing

con-

cret

e m

ater

ials

.

Reco

gnis

es n

ames

, vi

sual

ises

2-D

sh

apes

and

3-D

ob

ject

s in

the

envi

-ro

nmen

t:•

rect

angu

lar p

rism

• sp

here

s•

cylin

ders

• py

ram

ids

• ci

rcle

s•

(pol

ygon

s)

(up

to 6

-sid

ed

figur

es).

Draw

2-D

sha

pes

on

grid

pap

er.

Desc

ribes

, sor

ts

and

com

pare

s 2-

D sh

apes

and

3-D

ob

ject

s in

term

s of

: •

shap

es o

f fac

es•

flat a

nd c

urve

d su

rface

s•

stra

ight

and

cu

rved

sid

es•

num

ber o

f sid

es•

leng

th o

f sid

es.

Mak

es 3

-D m

odel

s us

ing

cut-o

ut p

oly -

gons

.

Reco

gnis

es a

nd

nam

es 2

-D s

hape

s an

d 3-

D ob

ject

s in

na

tura

l and

cul

tura

l fo

rms

and

geom

etric

se

tting

:•

sim

ilarit

ies/

dif-

fere

nces

bet

wee

n cu

bes

and

rect

an-

gula

r pris

ms

• si

mila

ritie

s/di

f-fe

renc

es b

etw

een

squa

res

and

rect

-an

gles

• (p

olyg

ons)

(u

p to

7-s

ided

fig

ures

).

Draw

2-D

sha

pes

on

grid

pap

er.

Desc

ribes

, sor

ts

and

com

pare

s 2-

D sh

apes

and

3-D

ob

ject

s in

term

s of

:•

shap

es o

f fac

es•

num

ber o

f fac

es•

num

ber o

f sid

es•

leng

th o

f sid

es.

Reco

gnis

es a

nd

nam

es 2

-D s

hape

s an

d 3-

D ob

ject

s in

na

tura

l and

cul

tura

l fo

rms

and

geom

etric

se

tting

:•

sim

ilarit

ies/

dif-

fere

nces

bet

wee

n te

trahe

dron

s, a

nd

othe

r pyr

amid

s si

mila

ritie

s/di

f-fe

renc

es b

etw

een

para

lello

gram

s an

d re

ctan

gles

• (p

olyg

ons)

(u

p to

8-s

ided

fig

ures

).

Desc

ribes

, sor

ts

and

com

pare

s 2-

D sh

apes

and

3-D

ob

ject

s in

term

s of

: •

face

s •

verti

ces

• ed

ges

• le

ngth

of s

ides

•

size

of a

ngle

s.

{

Top

ics:

3.

Vie

win

g o

f o

bje

cts

(In

term

ed

iate

Ph

ase

on

ly)

Top

ics:

4.

Po

siti

on

an

d m

ove

me

nt

(In

term

ed

iate

Ph

ase

on

ly)

PART 2 PRACTICE

360

Gr. R

Gr. 1

Gr. 2

Gr. 3

Gr. 4

Gr. 5

Gr. 6

Mak

es 3

-D m

odel

s us

ing

cut o

ut p

oly-

gons

.

Mak

es 3

-D m

odel

s us

ing:

• dr

inki

ng s

traw

s to

m

ake

a sk

elet

on•

nets

.

Draw

sha

pes

on g

rid

pape

r.

Draw

s ci

rcle

s, p

at-

tern

s in

circ

les

and

patte

rns

with

circ

les

usin

g a

pair

of c

om-

pass

es.

Tran

sfor

mat

ions

Reco

gnis

es s

ym-

met

ry in

ow

n bo

dy

and

envi

ronm

enta

l ob

ject

s –

focu

s on

fro

nt a

nd b

ack.

Reco

gnis

es s

ym-

met

ry in

ow

n bo

dy

and

envi

ronm

enta

l ob

ject

s –

focu

s on

fro

nt a

nd b

ack;

left

and

right

.

Reco

gnis

es

sym

met

ry in

2-D

sh

apes

and

3-D

ob

ject

s.

Dete

rmin

es li

nes

of

sym

met

ry in

2-D

sh

apes

and

use

s pa

per f

oldi

ng a

nd

refle

ctio

n.

Reco

gnis

es, d

raw

s an

d de

scrib

es li

ne

of s

ymm

etry

in 2

-D

shap

es.

Mak

ing

2-D

shap

es.

3-D

obje

cts

and

pat-

tern

s us

ing:

• te

ssel

atio

ns•

line

sym

met

ry.

Reco

gnis

es, d

raw

s an

d de

scrib

es li

ne

of s

ymm

etry

in 2

-D

shap

es.

Use

geom

etric

fig-

ures

and

sol

ids

to

perfo

rm:

• ro

tatio

ns (t

urns

)•

refle

ctio

ns (fl

ips)

• tra

nsla

tions

(s

lides

).

Mak

ing

2-D

shap

es.

3-D

obje

cts

and

pat-

tern

s us

ing:

• te

ssel

atio

ns

• lin

e sy

mm

etry

•

rota

tiona

l sym

-m

etry

• ro

tatio

ns

• re

flect

ions

•

trans

latio

n.

Reco

gnis

es, d

raw

s an

d de

scrib

es li

ne

of s

ymm

etry

in 2

-D

shap

es.

Draw

enl

arge

men

t an

d re

duct

ions

of

2-D

sha

pes

to

com

pare

size

and

sh

ape

of:

• tri

angl

es•

quad

rilat

eral

s.

{


361

9

Gr. R

Gr. 1

Gr. 2

Gr. 3

Gr. 4

Gr. 5

Gr. 6

View

ing

of

obje

cts

Desc

ribe

one

3-D

obje

ct in

rela

tion

to

anot

her (

e.g.

fron

t or

behi

nd).

Desc

ribe

one

3-D

obje

ct in

rela

tion

to

anot

her (

e.g.

fron

t or

behi

nd; t

o th

e le

ft/rig

ht).

Reco

gnis

es 3

-D

obje

cts

from

diff

er-

ent p

ositi

ons.

Reco

gnis

es 3

-D

obje

cts

from

diff

er-

ent p

ositi

ons.

View

ing

of o

bjec

ts in

di

ffere

nt p

ositi

ons.

View

ing

of o

bjec

ts in

di

ffere

nt p

ositi

ons.

View

ing

of o

bjec

ts in

di

ffere

nt p

ositi

ons.

Posi

tion

and

mov

emen

tFo

llow

s di

rect

ions

to

mov

e/pl

ace

self

with

in th

e cl

ass-

room

.

Follo

ws

dire

ctio

ns

to m

ove/

plac

e se

lf w

ithin

the

clas

s-ro

om; o

r pla

ce/m

ove

3-D

obje

cts

in re

la-

tion

to e

ach

othe

r.

Posi

tions

sel

f with

in

the

clas

sroo

m; o

r pl

ace/

mov

e 3-

D ob

ject

s in

rela

tion

to

each

oth

er.

Desc

ribes

pos

i-tio

nal r

elat

ions

hips

be

twee

n se

lf, p

eer

and

3-D

obje

cts.

Read

s, in

terp

rets

an

d dr

aws

info

rmal

m

aps

of th

e sc

hool

en

viro

nmen

t or o

f an

arra

ngem

ent o

f 3-D

ob

ject

s an

d lo

cate

s ob

ject

s on

the

map

.

Desc

ribes

pos

i-tio

nal r

elat

ions

hips

be

twee

n se

lf, p

eer

and

3-D

obje

cts.

Loca

te p

ositi

on o

n•

labe

lled

(cod

ed)

grid

• co

lum

n an

d ro

w•

map

s.

Loca

te p

ositi

on o

n•

labe

lled

(cod

ed)

grid

• m

aps.

Trac

ing

a pa

th

betw

een

posi

tion.

Loca

te p

ositi

on o

n•

labe

lled

(cod

ed)

grid

• m

aps.

Desc

ribe

how

to

mov

e be

twee

n th

e po

sitio

ns o

n th

e gr

id.

PART 2 PRACTICE

362

D.

Con

ten

t ar

ea: M

easu

rem

ent

Top

ics:

1.

Len

gth

, mas

s an

d c

apac

ity

Top

ics:

2.

Tim

e

Top

ics:

3.

Tem

pe

ratu

re

Gr. R

Gr. 1

Gr. 2

Gr. 3

Gr. 4

Gr. 5

Gr. 6

Leng

thDe

scrib

es o

bjec

ts

in te

rms

of:

long

er, s

horte

r, w

ider

, tal

l, sh

ort,

etc.

Estim

ates

, com

-pa

res,

ord

ers,

mea

-su

res

3-D

obje

cts

(non

-sta

ndar

d m

ea-

sure

s: h

and

span

s,

foot

step

s).

Estim

ates

, com

-pa

res,

ord

ers,

mea

-su

res

3-D

obje

cts

(non

-sta

ndar

d m

ea-

sure

s: h

and

span

s,

foot

step

s).

Estim

ates

, com

pare

s,

orde

rs, m

easu

res

3-D

obje

cts

(non

-sta

ndar

d an

d st

anda

rd m

easu

res:

de

sk le

ngth

s, m

etre

s).

Appr

oxim

ate

dist

ance

be

twee

n 2-

D sh

apes

us

ing

strin

g; a

rea

of 2

-D

shap

es u

sing

tilin

g.

Units

: mm

, cm

, m

and

km.

Usin

g ru

lers

, met

re

stic

ks, t

ape

,mea

-su

res

and

trund

le

whe

els.

Conv

ersi

on b

etw

een

mm

, cm

, m a

nd k

m.

Units

: mm

, cm

, m

and

km.

Usin

g ru

lers

, met

re

stic

ks, t

ape

,mea

-su

res

and

trund

le

whe

els.

Conv

ersi

on b

etw

een

mm

, cm

, m a

nd k

m.

As b

efor

e.

Estim

ates

, mea

-su

res,

reco

rds

and

orde

rs 2

-D s

hape

s an

d 3-

D ob

ject

s us

ing

SI-u

nits

(mm

, cm

, m a

nd k

m) t

o pr

ecis

ion.

Mas

sDe

scrib

es o

bjec

ts

in te

rms

of:

light

, hea

vy, h

eavi

-er

, etc

.

Estim

ates

, com

-pa

res,

ord

ers,

mea

-su

res

3-D

obje

cts

(non

-sta

ndar

d m

easu

res:

bric

k,

sand

bags

, etc

.).

Estim

ates

, com

-pa

res,

ord

ers,

mea

-su

res

3-D

obje

cts

(non

-sta

ndar

d m

easu

res:

bric

k,

sand

bags

, etc

.).

Estim

ates

, com

pare

s,

orde

rs, m

easu

res

3-D

obje

cts

(non

-sta

ndar

d an

d st

anda

rd m

easu

res:

kg

pac

kets

).

Units

: g a

nd k

g.

Mea

surin

g in

stru

-m

ents

: mea

surin

g ju

gs, k

itche

n sc

ales

an

d ba

lanc

es.

Conv

ersi

ons

betw

een

g an

d kg

.

Units

: g a

nd k

g.

Mea

surin

g in

stru

-m

ents

: mea

surin

g ju

gs, k

itche

n sc

ales

an

d ba

lanc

es.

Conv

ersi

ons

betw

een

g an

d kg

.

Estim

ates

, mea

-su

res,

reco

rds

and

orde

rs 3

-D o

bjec

ts

usin

g SI

-uni

ts, u

sing

g

and

kg (c

onve

r-si

on a

s w

ell).

Capa

city

Desc

ribe

obje

cts

in te

rms

of:

empt

y, fu

ll, le

ss

than

, mor

e th

an,

etc.

Estim

ates

, com

-pa

res,

ord

ers

capa

c-ity

, mea

sure

s ca

pac-

ity o

f 3-D

obj

ects

(n

on-s

tand

ard

mea

sure

s: s

poon

s,

cups

, etc

.).

Estim

ates

, com

-pa

res,

ord

ers

capa

c-ity

, mea

sure

s ca

pac-

ity o

f 3-D

obj

ects

(n

on-s

tand

ard

mea

sure

s: s

poon

s,

cups

, etc

.).

Estim

ates

, com

pare

s,

orde

rs a

ccor

ding

to

capa

city

.

Mea

sure

s ca

paci

ty o

f 3-D

ob

ject

s (n

on-s

tand

ard

and

stan

dard

mea

sure

s:

litre

s, b

ottle

s, e

tc.).

Usin

g m

l and

l (a

s w

ell a

s co

nver

sion

s).

Mea

surin

g in

stru

-m

ents

: mea

surin

g ju

gs.

Usin

g m

l and

l (a

s w

ell a

s co

nver

sion

s).

Mea

surin

g in

stru

-m

ents

: mea

surin

g ju

gs.

Usin

g m

l and

l (a

s w

ell a

s co

nver

sion

s).

{

Top

ics:

4.

Pe

rim

ete

r, s

urf

ace

are

a an

d v

olu

me

Top

ics:

5.

Cla

ssifi

cati

on

of

ang

les


363

9

Gr. R

Gr. 1

Gr. 2

Gr. 3

Gr. 4

Gr. 5

Gr. 6

Tim

eDe

scrib

es ti

me

i.t.o

. da

y/ni

ght.

Orde

rs re

curr

ing

even

ts in

ow

n da

ily

life.

Sequ

ence

s ev

ents

w

ithin

one

day

.

Desc

ribes

tim

e of

da

y, u

sing

voc

ab.

such

as

early

, lat

e, m

orni

ng,

afte

rnoo

n, n

ight

.

Com

pare

s ev

ents

i.t

.o. d

urat

ion:

lo

nger

, sho

rter,

fast

-er

, slo

wer

.

Sequ

ence

s ev

ents

us

ing

lang

uage

suc

h as

yes

terd

ay, t

oday

an

d to

mor

row

.

Plac

es b

irthd

ays

on

cale

ndar

.

Read

s an

alog

ue

time

in h

ours

and

m

inut

es.

Nam

es in

ord

er:

days

of w

eek

and

mon

ths

of th

e ye

ar.

Calc

ulat

es e

laps

ed

time

in:

• Ho

urs

and

min

-ut

es u

sing

clo

cks

• Da

ys, w

eeks

and

m

onth

s us

ing

cal-

enda

rs.

Sequ

ence

s ev

ents

ac

cord

ing

to d

ays,

w

eeks

, mon

ths

and

year

s.

ID im

porta

nt d

ates

on

cal

enda

rs, i

nclu

d-in

g da

tes

of:

lear

ner b

irthd

ays,

re

ligio

us fe

stiv

als,

hi

stor

ical

eve

nts.

Read

s an

d w

rites

ana

-lo

gue

and

digi

tal t

ime

in te

rms

of h

ours

, hal

f ho

urs,

qua

rters

of h

ours

an

d m

inut

es.

Solv

es p

robl

ems

invo

lv-

ing

calc

ulat

ion

with

and

co

nver

sion

bet

wee

n:

• m

inut

es

ho

urs

• ho

urs

d

ays

• da

ys

m

onth

s.

ID im

porta

nt d

ates

on

cale

ndar

s, in

clud

ing

date

s of

: re

ligio

us fe

stiv

als,

his

-to

rical

eve

nts.

Reco

gnis

es a

nd

desc

ribes

diff

eren

t cal

-en

dars

use

d in

diff

eren

t cu

lture

s.

Read

s, te

lls a

nd

writ

es a

nalo

gue,

di

gita

l and

24-

h tim

e in

term

s of

•

seco

nds

• m

inut

es

• ho

urs.

Mea

surin

g in

stru

-m

ents

: wat

ches

and

cl

ocks

.

Conv

ersi

ons

betw

een

time

units

: se

cond

s, m

inut

es,

hour

s, d

ays,

wee

ks,

mon

ths,

yea

rs.

Solv

es p

robl

ems

invo

lvin

g tim

e.

Read

s, te

lls a

nd

writ

es a

nalo

gue,

di

gita

l and

24-

h tim

e in

term

s of

•

seco

nds

• m

inut

es

• ho

urs.

Mea

surin

g in

stru

-m

ents

: wat

ches

and

st

op w

atch

es.

Conv

ersi

ons

betw

een

time

units

: as

pre

viou

s pl

us

deca

des,

cen

turie

s an

d m

illen

nia.

Solv

es p

robl

ems

invo

lvin

g tim

e.

Read

s, te

lls a

nd

writ

es a

nalo

gue,

di

gita

l and

24-

h tim

e in

term

s of

•

seco

nds

• m

inut

es

• ho

urs.

Conv

ersi

ons

betw

een

time

units

: as

pre

viou

s pl

us

time

zone

s.

Tem

pera

ture

n/a

n/a

n/a

n/a

n/a

Units

: °C

Mea

surin

g in

stru

-m

ents

: th

erm

omet

ers.

Solv

e re

al-li

fe

prob

lem

s in

volv

ing

tem

pera

ture

.

Units

: °C

Mea

surin

g in

stru

-m

ents

: th

erm

omet

ers.

Solv

e re

al-li

fe

prob

lem

s in

volv

ing

tem

pera

ture

.

←

→←

→ ←

→

{

PART 2 PRACTICE

364

Gr. R

Gr. 1

Gr. 2

Gr. 3

Gr. 4

Gr. 5

Gr. 6

Perim

eter

, sur

-fa

ce a

rea

and

volu

me

n/a

n/a

n/a

n/a

Inve

stig

ates

per

imet

er

usin

g ru

lers

or m

easu

r-in

g ta

pes:

• Ar

eas

of p

olyg

ons

usin

g sq

uare

grid

s an

d til

ing

to d

evel

op

the

conc

ept o

f squ

are

units

• V

olum

e an

d ca

paci

ty o

f 3-

D ob

ject

s to

dev

elop

th

e co

ncep

t of c

ubic

un

its

• So

lves

real

-life

pro

b-le

ms

invo

lvin

g pe

rim-

eter

, sur

face

are

a an

d vo

lum

e.

Inve

stig

ates

per

imet

er

usin

g ru

lers

or m

easu

r-in

g ta

pes:

• Ar

eas

of p

olyg

ons

usin

g sq

uare

grid

s an

d til

ing

to d

evel

op

the

conc

ept o

f squ

are

units

• V

olum

e an

d ca

paci

ty o

f 3-

D ob

ject

s to

dev

elop

th

e co

ncep

t of c

ubic

un

its

• So

lves

real

-life

pro

b-le

ms

invo

lvin

g pe

rim-

eter

, sur

face

are

a an

d vo

lum

e.

Inve

stig

ates

per

imet

er u

sing

ru

lers

or m

easu

ring

tape

s:

• A

reas

of p

olyg

ons

usin

g sq

uare

grid

s to

dev

elop

th

e ru

les

for c

alcu

latin

g th

e ar

ea o

f squ

ares

and

rect

an-

gles

• V

olum

e an

d ca

paci

ty o

f 3-D

ob

ject

s to

dev

elop

the

rule

s fo

r cal

cula

ting

the

area

of

squa

res

and

rect

angl

es.

Rela

tions

hip

betw

een

perim

e-te

r and

are

a of

rect

angl

es a

nd

squa

res.

Rela

tions

hip

betw

een

surfa

ce

area

, vol

ume

and

dim

ensi

ons

of re

ctan

gula

r pris

ms.

Solv

es re

al-li

fe p

robl

ems

invo

lvin

g pe

rimet

er, s

urfa

ce

area

and

vol

ume.

Clas

sific

atio

n of

an

gles

n/a

n/a

n/a

n/a

n/a

Reco

gnis

es a

nd

desc

ribes

righ

t ang

les

in

2-D

shap

es, 3

-D o

bjec

ts

and

the

envi

ronm

ent.

Reco

gnis

es a

nd d

escr

ibes

rig

ht a

ngle

s in

2-D

sha

pes,

3-

D ob

ject

s an

d th

e en

viro

n-m

ent i

n te

rms

of:

• Ri

ght a

ngle

s •

Angl

es <

90°

•

Angl

es >

90°


365

9E.

Co

nte

nt

area

: Dat

a h

and

ling

Top

ics:

1.

Co

llect

ing

dat

a

Top

ics:

2.

Org

anis

ing

, re

cord

ing

an

d s

um

mar

isin

g d

ata

Top

ics:

3.

Dis

pla

yin

g d

ata

Gr. R

Gr. 1

Gr. 2

Gr. 3

Gr. 4

Gr. 5

Gr. 6

Colle

ctin

g da

taCo

llect

s ph

ysic

al

obje

cts

in e

nviro

n-m

ent a

ccor

ding

to

stat

ed fe

atur

es.

Colle

cts

phys

ical

ob

ject

s in

env

iron-

men

t acc

ordi

ng to

st

ated

feat

ures

.

Colle

cts

phys

ical

ob

ject

s in

env

i-ro

n-m

ent a

ccor

ding

to

sta

ted

feat

ures

.

Colle

cts

phys

ical

ob

ject

s in

env

iron-

men

t acc

ordi

ng to

st

ated

feat

ures

.

Pose

s qu

estio

ns

abou

t ow

n an

d fa

mily

and

sch

ool

envi

ronm

ent.

Iden

tifies

app

ropr

i-at

e da

ta s

ourc

es.

Colle

cts

data

to

answ

er q

uest

ions

.

Pose

s qu

estio

ns a

bout

ow

n an

d fa

mily

and

sc

hool

env

ironm

ent.

Iden

tifies

app

ropr

iate

da

ta s

ourc

es.

Mak

es a

nd u

ses

sim

ple

data

col

lect

ion

shee

ts

that

invo

lve

coun

ting

obje

cts

to a

nsw

er

ques

tions

.

Colle

cts

data

to a

nsw

er

ques

tions

.

Pose

s qu

estio

ns a

bout

ow

n an

d fa

mily

and

sc

hool

env

ironm

ent.

Iden

tifies

app

ropr

iate

dat

a so

urce

s. U

ses

sim

ple

data

co

llect

ion

shee

ts (r

equi

r-in

g ta

lly m

arks

) and

sim

-pl

e qu

estio

nnai

res

(yes

/no

resp

onse

s) to

ans

wer

qu

estio

ns.

Colle

cts

data

to a

nsw

er

ques

tions

.

Orga

nisi

ng,

reco

rdin

g an

d su

mm

aris

ing

data

Sorts

phy

sica

l ob

ject

s ac

cord

ing

to a

sin

gle

prop

-er

ty.

Sorts

phy

sica

l ob

ject

s ac

cord

ing

to a

sin

gle

prop

-er

ty, c

hose

n fo

r a

reas

on.

Give

s re

ason

s fo

r co

llect

ions

bei

ng

grou

ped

in p

artic

u-la

r way

s.

Sorts

phy

sica

l ob

ject

s ac

cord

ing

to a

sin

gle

prop

erty

, ch

osen

by

teac

her.

Give

s re

ason

s fo

r co

llect

ions

bei

ng

grou

ped

in p

artic

u-la

r way

s.

Sorts

, ord

ers

and

orga

nise

s ow

n an

d su

pplie

d da

ta b

y ½

pr

oper

ties

for a

par

-tic

ular

reas

on.

Reco

rds

data

usi

ng

• ta

lly m

arks

.Or

gani

ses

and

reco

rds

data

usi

ng

• ta

lly m

arks

• ta

bles

.

Exam

ines

ung

roup

ed

num

eric

al d

ata

to

dete

rmin

e th

e m

ode.

Orga

nise

s an

d re

cord

s da

ta u

sing

• ta

lly m

arks

• ta

bles

.

Dist

ingu

ishe

s be

twee

n sa

mpl

es a

nd p

opul

atio

n.

Exam

ines

ung

roup

ed

num

eric

al d

ata

to d

eter

-m

ine

the

mod

e an

d th

e m

edia

n.

{

Top

ics:

4.

Inte

rpre

tin

g d

ata

Top

ics:

5.

Pro

bab

ility

PART 2 PRACTICE

366

Gr. R

Gr. 1

Gr. 2

Gr. 3

Gr. 4

Gr. 5

Gr. 6

Disp

layi

ng

data

Draw

s a

pict

ure

as

reco

rd o

f col

-le

cted

obj

ect.

Draw

s a

pict

ure

as

reco

rd o

f col

lect

ed

obje

ct.

Cons

truct

s pi

cto-

grap

hs w

here

stic

kers

/st

amps

repr

esen

t ind

i-vi

dual

ele

men

ts in

a

colle

ctio

n of

obj

ects

.

Draw

s pi

ctur

es

and

cons

truct

s pi

ctog

raph

s th

at

have

a 1

-1

corr

espo

nden

ce

betw

een

own

data

and

repr

e-se

ntat

ions

.

Draw

s pi

ctur

es

and

cons

truct

s pi

ctog

raph

s an

d ba

r gra

phs

that

hav

e a

1-1

corr

espo

nden

ce

betw

een

own

data

an

d re

pres

enta

-tio

ns.

Draw

s a

varie

ty o

f gr

aphs

to d

ispl

ay

and

inte

rpre

t dat

a in

clud

ing

• pi

ctog

raph

s (1

-1 c

orre

spon

-de

nce)

• ba

r gra

phs.

Draw

s a

varie

ty o

f gra

phs

to d

ispl

ay a

nd in

terp

ret d

ata

incl

udin

g•

pict

ogra

phs

(man

y-to

-one

cor

resp

on-

denc

e)•

bar g

raph

s.

Draw

s a

varie

ty o

f gra

phs

to d

is-

play

and

inte

rpre

t dat

a in

clud

ing

• pi

ctog

raph

s (m

any-

to-o

ne c

orre

spon

-de

nce)

• ba

r gra

phs.

Inte

rpre

ting

data

Answ

ers

ques

tions

ba

sed

on

own-

pict

ure

or o

wn-

sort-

ed o

bjec

ts.

Desc

ribes

ow

n co

l-le

ctio

n of

obj

ects

, ex

plai

ns h

ow it

was

so

rted

and

answ

ers

ques

tions

abo

ut it

.

Desc

ribes

ow

n or

pee

rs’ c

olle

c-tio

n of

obj

ects

, ex

plai

ns h

ow it

w

as s

orte

d an

d an

swer

s qu

es-

tions

abo

ut it

.

Read

s, in

terp

rets

an

d re

ports

on

info

in o

wn

and

peer

s’ re

pres

enta

-tio

ns o

f dat

a.

Read

s an

d in

ter-

pret

s da

ta p

re-

sent

ed in

sim

ple

tabl

es a

nd li

sts.

Criti

cally

read

s an

d in

terp

rets

dat

a pr

e-se

nted

in a

var

iety

of

way

s to

dra

w c

on-

clus

ions

and

mak

e pr

edic

tions

sen

sitiv

e to

the

role

of:

• Co

ntex

t•

Othe

r hum

an ri

ghts

is

sues

Criti

cally

read

s an

d in

ter-

pret

s da

ta p

rese

nted

in a

va

riety

of w

ays

to d

raw

co

nclu

sion

s an

d m

ake

pred

ictio

ns s

ensi

tive

to th

e ro

le o

f:•

Cont

ext

• Ca

tego

ries

with

in th

e da

ta•

Othe

r hum

an ri

ghts

is

sues

Criti

cally

read

s an

d in

terp

rets

da

ta p

rese

nted

in a

var

iety

of

way

s to

dra

w c

oncl

usio

ns a

nd

mak

e pr

edic

tions

sen

sitiv

e to

th

e ro

le o

f:•

Cont

ext

• Ca

tego

ries

with

in th

e da

ta•

Othe

r hum

an ri

ghts

issu

es

Prob

abili

tyCo

mpa

res

and

clas

si-

fies

even

ts a

s •

certa

in th

at th

ey

will

hap

pen

• ce

rtain

that

they

w

ill N

OT h

appe

n•

unce

rtain

.

Coun

ting

the

num

ber

of p

ossi

ble

outc

omes

fo

r sim

ple

trial

s.

Com

pare

s an

d cl

assi

fies

even

ts o

n sc

ale

from

: •

certa

in th

at th

ey w

ill

happ

ento •

certa

in th

at th

ey w

ill N

OT

happ

en.

List

pos

sibl

e ou

tcom

es fo

r si

mpl

e ex

perim

ents

:•

Toss

ing

a co

in•

Rolli

ng a

die

• Sp

inni

ng a

spi

nner

Coun

ting

the

frequ

ency

of

actu

al o

utco

mes

for a

ser

ies

of tr

ials

.

Pred

icts

the

likel

ihoo

d of

eve

nts

base

d on

obs

erva

tion

and

plac

-es

them

on

a sc

ale

from

: •

impo

ssib

le

to • ce

rtain

.

List

pos

sibl

e ou

tcom

es fo

r sim

-pl

e ex

perim

ents

: •

Toss

ing

a co

in•

Rolli

ng a

die

• Sp

inni

ng a

spi

nner

Coun

ting

the

frequ

ency

of a

ctua

l ou

tcom

es fo

r a s

erie

s of

tria

ls.

Sour

ce: A

dapt

ed fr

om D

BE (2

011)

, Jan

uary

. Cur

ricul

um a

nd A

sses

smen

t Pol

icy

Stat

emen

t (CA

PS).

Mat

hem

atic

s (In

term

edia

te P

hase

).


367

9

Addendum B to Chapter 9

AN EXAMPLE OF A GRADE 5 MULTILEVEL MATHEMATICS LESSON

Multilevel lesson for formal assessment purposes

PL

AN

NIN

G

Content:Maths

Numbers, Operations andRelationships: Doubling &

halving of 1, 2, 3-digitnumbers

Mass and capacity:g, kg; l and ml

(convertingbetween units)

Selectcore content:

doublingand halving

Selectteaching

material e.g.d/h in thekitchen

Recipe foruncookedfudgeIngredients:mass usingg and kgcapacityusingml and l

• 3 × 200g packets Marie biscuits• 1 packet (500g) icing sugar• 1 block (500g) melted margarine• 1 tin (300g) caramel treat• 2 teaspoons (10ml) vanilla essence

Planning theprocess:Planninglearner

activities/assessment

tasks

Reviseability

grouping(Ab gr)

Designdifferentiatedassessment

tasks/assignments

for eachgroup

Ab gr 1: no modificationIngredients in ml and l, g and kg.Double and halve the recipe. Check answers by× 2 and ÷ 2

Ab gr 2: unwinding with ASSIngredients only in g and ml.Double and halve the recipe.

Ab gr 3: straddling to gr 3 numbers, operations and relationships: doubling and halving of 1 and 2-digitnumbers.Measurement: Estimate measure, compare and order 3-D objects using non-standard and standardmeasures: a) Mass, e.g. packets b) Capacity, e.g. bottles. Learners use non-standard units only and by using drawings or contrete objects, they also double and halvethe ingredients. Also attempt continuous doubling.

Planning theassessment

process:Planningformal

assessment

Teach thecore content(concept of

doublingand halving)

to the whole class.

Design Rubric – keeping the focus of the

differentiated assignmentsin mind. Assess valuesand attitudes as well.

Refer to example andexplanation of Rubric on

following page.

40%

Split

into

abi

lity

grou

ping

s.

TE

AC

HIN

G

Discuss possiblemethod by which

fudge will bemade.

Receives assessmenttask. If necessary

learner from group 1explains the assignment.

Teacher support:In order to master

concept ofdoubling/halving.

20%

Give feedbackto teacher.

Teacher explainsassessment task.

Carry on withassessment task.

Assessment task.

20%

Completesassessment

task.

Completesassessment.

Teacher supportto individual

learners.

Completesassessment

task.

20%

PART 2 PRACTICE

368

AS

SE

SS

ME

NT

OF

LE

AR

NIN

G O

UT

CO

ME

S

ASSESSPRODUCT

ACCORDINGTO THE

ASSESSMENTCRITERIA ASSTATED IN

RUBRIC

RE

CO

RD

ING

Record assessmentoutcomes in the format

as prescribed inNational Protocol for

Assessment:Grades R–12

RE

PO

RT

ING Formal reporting at least once a term.

• Suggested format to be found in National Protocol for Assessment: Grades R–12• Schools may use own format• Not advisable to use LOs and Assessment Standards in reports to parents – rather use core curriculum as headings.

Refer to next section for examplesof report cards.

MATHEMATICS ASSESSMENT TASK 3 GRADE 5

Name of learner: Date:

Numbers, Operations and Relationships: doubling and halving Topic:in the kitchenMeasurement: mass and capacity

Assessment criteria

• Learner is able to differentiate between capacity and mass by describing when to use appropriate units

All a

bilit

y gr

oups

Abili

ty g

roup

27

• Learner can master appropriate doubling operations• Learner can master appropriate halving operations only with g and ml, no conversion yet

Abili

ty g

roup

1 • Learner can master appropriate doubling operations• Learner can master appropriate halving operations• Learner is able to convert between SI units g and kg• Learner is able to check answers by doing appropriate alternataive operations

Ability group 3: Mastering of doubling and halving,capacityand mass units – l, ml, g and kgDoubling & halving of 1 & 2-digit numbers.Measurement: mass & capacity: non-standard units

Grade3

level

• Learner demonstrates the ability to use l instead of ml for larger capacities

• Learner demonstrates the ability to use kg instead of g for bigger masses

• Learner masters the concept of halving

• Learner masters the concept of doubling

6 5 4 3 2 1

Ratingcode

7

6

5

4

3

2

1

Marks%

80–100

70–79

60–69

50–59

40–49

30–39

0–29

Achievement description

Outstanding Achievement

Meritorious Achievement

Substantial Achievement

Adequate Achievement

Moderate Achievement

Elementary Achievement

Not Achieved


369

9

? m kg g l ml

? c kg

Double flowers _________

Double flowers _________

Double ALL flowers _________

Halve flowers _________

Halve flowers _________

Halve ALL flowers _________

Double all petals _________

Halve all petals _________

g l ml

? m kg g l ml

? c kg g l ml

? m kg g l ml

? m kg g l ml

kg g l ml

kg g l ml

kg g l ml

kg g l ml

kg g l ml

m = massc = capacity

Circle themost suitable

unit.

PART 2 PRACTICE

370

Uncooked fudgeIngredients for 100 squares

• 600g (_____ kg) Marie biscuits• 500g (_____ kg) icing sugar• 500g (_____ kg) melted margarine• 300g (_____ kg) caramel treat• 10ml (_____ l) vanilla essence


• 600g Marie biscuits• 500g icing sugar• 500g melted margarine• 300g caramel treat• 10ml vanilla essence


• 3 packets of Marie biscuits• 1 packet of icing sugar• 1 block of melted margarine• 1 tin of caramel treat• 2 teaspoons of vanilla essence

Unmodified curriculum

Unwinding of Assessment Standards

Straddling down to Grade 3 Assessment Standards

EXSTRATA PrimaryGrade4–6

Nameoflearner:_________________________________Grade:_________

Dateofbirth:–––––––––––––

Subject Term 1

Grade level Level of achievement

Language:

Homelanguage

Firstadditionallanguage

LifeOrientation

Mathematics 5 3:Alloutcomeswereachievedsatisfactorily

NaturalSciences

UN

MO

DIFIED

CU

RR

ICU

LUM

Example extracts from report cards

SNAPSHOTS OF REPORT CARDS

Example of differentiated learner tasks


371

9

Subject Term 1


Language:

Homelanguage


LifeOrientation

Mathematics 5 2:Inordertopromotenumberconceptandskills,ithadnotbeenexpectedfromthelearnertoachieveassess-mentstandardsinfullyet.

NaturalSciences

etc.

Subject Term 1


Language:

Homelanguage


LifeOrientation

Mathematics 3 3:Learnerhadbeentaughtaccordingtohisownlevelsofcompetence.Heiscurrentlydisplayinggoodprogressandallappropriateassessmentstan-dardswereachievedsatisfactorily.

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addendum a to chapter 9 support in a... · 2 practice 354 addendum a to chapter 9 national...

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