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  • a MULTIGRADE TOOLKIT MATHEMATICS FOUNDATION PHASE

    MULTIGRADE TOOLKIT

    MATHEMATICSFOUNDATION PHASE

    FOR

  • 1 MULTIGRADE TOOLKIT MATHEMATICS FOUNDATION PHASE

    M

    ULTI

    GRAD

    E TO

    OLKI

    T M

    ATHE

    MAT

    ICS

    FOUN

    DATI

    ON P

    HASE

  • 2 MULTIGRADE TOOLKIT MATHEMATICS FOUNDATION PHASE

    FOUN

    DATI

    ON P

    HASE

    MAT

    HEMA

    TICS

    MUL

    TI-G

    RADE

    TOO

    LKIT

    Intro

    duct

    ion

    to th

    e Mul

    ti-gr

    ade T

    oolki

    t Th

    e Mult

    i-Gra

    de T

    oolki

    t for F

    ound

    ation

    Pha

    se co

    mpris

    es tw

    o main

    comp

    onen

    ts na

    mely

    the M

    ulti-g

    rade

    Ann

    ual T

    each

    ing P

    lan (M

    ATP)

    and e

    xemp

    lar le

    sson

    plan

    s for

    each

    of

    the su

    bjects

    offer

    ed in

    Gra

    des 1

    -3. T

    he co

    ntent

    set o

    ut in

    CAPS

    for e

    ach s

    ubjec

    t nam

    ely H

    ome

    Lang

    uage

    s, Ma

    thema

    tics,

    First

    Addit

    ional

    Lang

    uage

    and L

    ife S

    kills

    have

    be

    en re

    orga

    nized

    in a

    syste

    matic

    way

    acro

    ss th

    e gra

    des s

    tartin

    g in g

    rade

    1 an

    d pro

    gres

    sing t

    o Gra

    de 3

    in the

    MAT

    P.

    Th

    e MA

    TP is

    a cu

    rricu

    lum p

    lannin

    g re

    sour

    ce to

    ol an

    d is

    set o

    ut in

    a for

    mat w

    hich

    demo

    nstra

    tes th

    e pa

    cing

    and

    sequ

    encin

    g of

    the cu

    rricu

    lum h

    orizo

    ntally

    acro

    ss G

    rade

    s 1

    to 3

    and

    vertic

    ally

    acro

    ss T

    erms

    1 to

    4 fo

    r eac

    h su

    bject

    offer

    ed in

    the

    Foun

    datio

    n Ph

    ase.

    The

    MATP

    is a

    imed

    at m

    aking

    the

    CAPS

    mor

    e ac

    cess

    ible

    to the

    mult

    i-gra

    de

    teach

    er w

    ho te

    ache

    s a M

    ulti-G

    rade

    clas

    s of G

    rade

    s 1, 2

    and

    3 o

    r Gra

    des 1

    and

    2 o

    r Gra

    des 2

    and

    3. I

    n thi

    s way

    it is

    envis

    aged

    that

    the m

    ulti-g

    rade

    teac

    her w

    ill be

    come

    mo

    re fa

    milia

    r with

    the c

    onten

    t that

    need

    s to b

    e cov

    ered

    per g

    rade

    in ea

    ch te

    rm.

    The p

    urpo

    se o

    f the

    MAT

    P an

    d th

    e exe

    mpl

    ar le

    sson

    plan

    s Th

    e MA

    TP is

    aim

    ed a

    t ena

    bling

    the t

    each

    er to

    teac

    h com

    mon

    topics

    /conc

    epts/

    skills

    /conte

    nt to

    the w

    hole

    class

    (com

    binati

    on o

    f gra

    des)

    wher

    e it is

    conc

    eptua

    lly ap

    prop

    riate

    for ea

    ch gr

    ade.

    MATP

    enab

    les th

    e Mult

    i -Gra

    de te

    ache

    r to c

    over

    the c

    urric

    ulum

    for ea

    ch te

    rm by

    enco

    urag

    ing he

    r/him

    to te

    ach c

    ommo

    n con

    tent a

    cross

    the g

    rade

    s whe

    re it

    is co

    ncep

    tually

    and

    gra

    de a

    ppro

    priat

    e. He

    nce

    the M

    ATP

    is en

    cour

    aging

    mult

    i-gra

    de te

    ache

    rs to

    do w

    hole

    class

    teac

    hing

    and

    asse

    ssme

    nt as

    well

    as f

    ocus

    ed g

    rade

    gro

    up

    teach

    ing a

    nd a

    sses

    smen

    t too

    . For

    exa

    mple

    to ov

    erco

    me th

    e ch

    allen

    ge o

    f tim

    e ma

    nage

    ment

    in Mu

    lti-Gr

    ade

    grad

    e cla

    sses

    teac

    hers

    are

    enco

    urag

    ed to

    teac

    h the

    thes

    e co

    mpon

    ents

    Visu

    al Ar

    ts, P

    erfor

    ming

    Arts

    (Dan

    ce, M

    usic,

    Dra

    ma, P

    hysic

    al Ed

    ucati

    on as

    who

    le cla

    ss le

    sson

    s but

    differ

    entia

    te the

    activ

    ities t

    o suit

    each

    grad

    e.

    Ex

    empl

    ar L

    esso

    n pl

    ans

    The

    lesso

    n pla

    ns h

    ave

    been

    dev

    elope

    d to

    enha

    nce

    quali

    ty lea

    rning

    and

    teac

    hing

    as w

    ell a

    s to

    stren

    gthen

    curri

    culum

    cove

    rage

    in M

    ulti -

    Grad

    e cla

    sses

    . The

    less

    on p

    lans

    are

    align

    ed to

    the M

    ATP

    for ea

    ch su

    bject.

    The

    less

    on pl

    ans h

    ave b

    een w

    ritten

    in a

    form

    at tha

    t spe

    aks t

    o mult

    i-gra

    de te

    achin

    g in G

    rade

    s 1 to

    3. T

    he ex

    empla

    r less

    on p

    lans

    for e

    ach

    subje

    ct ha

    ve b

    een

    pack

    aged

    in w

    eeks

    . The

    less

    on p

    lans

    media

    te the

    con

    tent t

    o be

    taug

    ht as

    set o

    ut in

    the M

    ATP.

    The

    less

    on p

    lans

    unpa

    ck th

    e co

    ntent

    to be

    tau

    ght a

    nd as

    sess

    ed in

    the g

    rade

    for t

    he w

    eek.

    This

    has b

    een d

    one b

    y pro

    viding

    grad

    e app

    ropr

    iate a

    ctivit

    ies.

    Teac

    hing i

    deas

    , tim

    e allo

    catio

    n br

    eak d

    owns

    , res

    ource

    s and

    note

    s to t

    he te

    ache

    r and

    acti

    vities

    in th

    e DBE

    Wor

    kboo

    k are

    listed

    . Les

    son p

    lans a

    lso st

    ate th

    at tea

    cher

    mad

    e re

    sour

    ces s

    hould

    also

    be us

    ed na

    mely

    flash

    card

    s, nu

    mber

    card

    s, ow

    n Big

    Book

    s, po

    sters,

    mas

    ks, p

    uppe

    ts etc

    . usin

    g rec

    ycled

    mate

    rials.

  • 3 MULTIGRADE TOOLKIT MATHEMATICS FOUNDATION PHASE

    Exem

    plar

    Mat

    hem

    atics

    Wee

    kly le

    sson

    plan

    Ma

    thema

    tics l

    esso

    n plan

    cove

    rs the

    follo

    wing

    comp

    onen

    ts ma

    inly f

    or N

    umbe

    rs O

    pera

    tions

    and

    Relat

    ions

    hips

    :

    Menta

    l Math

    emati

    cs

    Nu

    mber

    sens

    e

    Numb

    er co

    ncep

    ts

    Numb

    er op

    erati

    ons

    W

    ord p

    roble

    ms

    The w

    eekly

    less

    on pl

    ans a

    lso in

    clude

    at le

    ast o

    ne le

    sson

    per w

    eek o

    n the

    othe

    r top

    ics na

    mely:

    Patte

    rns

    Sp

    ace a

    nd S

    hape

    Meas

    urem

    ent

    Da

    ta Ha

    ndlin

    g Nu

    mbe

    r of l

    esso

    n pl

    an ex

    empl

    ars:

    19 w

    eekly

    less

    on pl

    an ex

    empla

    rs ha

    ve be

    en de

    velop

    ed

    (10 w

    eeks

    in T

    erms

    1, 3

    week

    s in T

    erm

    2, 3 a

    nd 4)

    . Te

    achi

    ng Id

    eas

    All g

    rade

    s sho

    uld be

    exp

    osed

    to o

    ral, p

    racti

    cal a

    nd w

    ritten

    activ

    ities.

    At le

    ast 3

    wor

    d pro

    blems

    shou

    ld be

    don

    e we

    ekly

    by e

    ach g

    rade

    . The

    DBE

    Wor

    kboo

    k acti

    vities

    shou

    ld be

    used

    to re

    infor

    ce an

    d con

    solid

    ate sk

    ills an

    d con

    cepts

    in th

    e Math

    emat

    ics le

    sson

    s.

    Tim

    etab

    ling:

    At le

    ast 1

    , 5 h

    ours

    per

    day

    shou

    ld be

    ded

    icated

    for M

    athem

    atics

    in th

    e mu

    ltigra

    de cl

    ass a

    nd so

    that

    ever

    y gra

    de ca

    n ha

    ve a

    Math

    emati

    cs p

    eriod

    of a

    t leas

    t 30

    minu

    tes da

    ily so

    that

    at lea

    st tw

    o Math

    emati

    cs co

    mpon

    ents

    can b

    e tau

    ght t

    o eac

    h gra

    de da

    ily.

    Exem

    plar

    Life

    Skil

    ls W

    eekly

    less

    on p

    lan

    The w

    eekly

    less

    on pl

    an in

    clude

    s the

    follo

    wing

    stud

    y are

    as:

    Be

    ginnin

    g kno

    wled

    ge an

    d Per

    sona

    l and

    Soc

    ial W

    ellbe

    ing

    Cr

    eativ

    e Arts

    are m

    ade u

    p of P

    erfor

    ming

    Arts

    (dan

    ce, M

    usic

    and D

    rama

    ) and

    Visu

    al Ar

    ts

    Phys

    ical E

    duca

    tion

    Num

    ber o

    f les

    son

    plan

    exem

    plar

    s: 2

    4 we

    ekly

    lesso

    n pla

    n ex

    empla

    rs ha

    ve b

    een

    deve

    loped

    (6 w

    eeks

    per

    term

    ) The

    se b

    i-wee

    kly le

    sson

    plan

    s can

    also

    be

    used

    ove

    r a 3

    we

    ek cy

    cle to

    ensu

    re th

    at all

    the a

    ctivit

    ies ar

    e cov

    ered

    acco

    rding

    ly.

    Teac

    hing

    Idea

    s

  • 4 MULTIGRADE TOOLKIT MATHEMATICS FOUNDATION PHASE

    The

    topics

    for B

    eginn

    ing K

    nowl

    edge

    and

    Per

    sona

    l and

    Soc

    ial W

    ellbe

    ing h

    ave

    been

    listed

    for e

    ach

    grad

    e an

    d gr

    oupe

    d in

    such

    a w

    ay th

    at co

    mmon

    conte

    nt ac

    ross

    topic

    s ca

    n be

    taug

    ht to

    all g

    rade

    s in

    a wh

    ole cl

    ass l

    esso

    n. Te

    ache

    rs ar

    e als

    o en

    cour

    aged

    to te

    ach

    the C

    reati

    ve A

    rts a

    nd P

    hysic

    al Ed

    ucati

    on a

    s who

    le cla

    ss le

    sson

    s. At

    leas

    t one

    Lif

    e Sk

    ills st

    udy

    area

    shou

    ld be

    don

    e pe

    r day

    . Beg

    inning

    Kno

    wled

    ge to

    pics

    shou

    ld be

    use

    d to

    prov

    ide co

    ntexts

    to te

    ach

    the la

    ngua

    ge co

    mpon

    ents

    name

    ly lis

    tening

    and

    sp

    eakin

    g and

    read

    ing an

    d writi

    ng sk

    ills.

    Dram

    a sh

    ould

    be d

    one

    as a

    n int

    egra

    ted la

    ngua

    ge a

    ctivit

    y (ro

    le-pla

    y, mi

    ming

    , dra

    matiz

    ation

    , dial

    ogue

    s etc

    ). Mu

    sic, D

    ance

    and

    Phy

    sical

    Educ

    ation

    can

    be

    done

    as

    an

    integ

    rated

    less

    on w

    ith al

    l gra

    des.

    The D

    BE W

    orkb

    ook s

    hould

    be us

    ed in

    Life

    Skills

    less

    ons.

    Tim

    etab

    ling:

    At le

    ast 1

    hou

    r per

    day

    shou

    ld be

    dedic

    ated t

    o Life

    Skil

    ls pe

    r day

    . At le

    ast o

    ne P

    hysic

    al Ed

    ucati

    on (o

    utdoo

    r less

    on) a

    nd a

    Visu

    al Ar

    ts les

    son

    shou

    ld be

    done

    pe

    r wee

    k in t

    he M

    ulti-G

    rade

    clas

    s. Ad

    aptin

    g th

    e exe

    mpl

    ar le

    sson

    plan

    for t

    he M

    ulti-

    Grad

    e clas

    s Te

    ache

    rs ar

    e en

    cour

    aged

    to u

    se th

    ese

    week

    ly les

    son

    plans

    to p

    lan th

    eir d

    aily

    class

    room

    less

    on p

    lan a

    ctivit

    ies fo

    r eac

    h su

    bject

    per d

    ay fr

    om M

    onda

    y to

    Frida

    y. Th

    ese

    lesso

    n pla

    ns a

    re g

    ener

    ic an

    d the

    teac

    her i

    s exp

    ected

    to p

    rovid

    e the

    acti

    vities

    that

    will b

    e do

    ne a

    cross

    all g

    rade

    s in

    whole

    clas

    s ses

    sions

    and

    the

    focus

    ed g

    rade

    acti

    vities

    . Sp

    ecific

    deta

    ils s

    uch

    as th

    e titl

    e of

    Big

    Book

    , stor

    ies in

    the

    Grad

    ed R

    eade

    r and

    pag

    e re

    feren

    ces

    in the

    DBE

    Wor

    kboo

    k etc

    . sho

    uld b

    e ind

    icated

    . The

    less

    on p

    lan sh

    ould

    indica

    te gr

    ade

    spec

    ific a

    ctivit

    ies a

    nd w

    hole

    class

    acti

    vities

    . In

    addit

    ion o

    ral,

    writte

    n, ind

    epen

    dent

    and

    asse

    ssme

    nt ac

    tivitie

    s for

    eac

    h gr

    ade

    shou

    ld be

    exp

    licit

    in the

    dail

    y les

    son p

    lan as

    well

    as th

    e res

    ource

    s to b

    e use

    d to m

    ediat

    e the

    activ

    ity na

    mely

    the D

    BE W

    orkb

    ook,

    Read

    ers,

    reali

    a etc.

    The

    lesso

    n pla

    n sh

    ould

    refle

    ct the

    Lan

    guag

    e of

    Lear

    ning

    and

    Teac

    hing

    (LOL

    T), w

    here

    isiX

    hosa

    is o

    ffere

    d as

    LOL

    T, th

    e ph

    onics

    , spe

    lling

    word

    s sig

    ht wo

    rds

    , wor

    d pr

    oblem

    s etc.

    shou

    ld be

    conte

    xtuali

    sed f

    or is

    iXho

    sa. H

    ence

    teac

    hers

    are e

    ncou

    rage

    d to w

    rite th

    eir da

    ily le

    sson

    plan

    s to r

    eflec

    t the L

    OLT

    of the

    scho

    ol.

    TABL

    E 1 A

    sugg

    este

    d da

    ily le

    sson

    plan

    tem

    plat

    e DA

    ILY

    LESS

    ON P

    LANN

    ER

    SUBJ

    ECT

    HOME

    LAN

    GUAG

    ES (

    List

    enin

    g an

    d sp

    eakin

    g, P

    honi

    cs, R

    eadi

    ng, H

    andw

    ritin

    g, W

    ritin

    g, A

    sses

    smen

    t, re

    sour

    ces)

    GR

    ADE

    MOND

    AY

    TUES

    DAY

    WED

    NESD

    AY

    THUR

    SDAY

    FR

    IDAY

    1

    2

    3

    SU

    BJEC

    T: F

    IRST

    ADD

    ITIO

    NAL

    LANG

    UAGE

    (( Li

    sten

    ing

    and

    spea

    king,

    Pho

    nics

    , Rea

    ding,

    Writ

    ing,

    Ass

    essm

    ent,

    reso

    urce

    s)

    GRAD

    E MO

    NDAY

    TU

    ESDA

    Y W

    EDNE

    SDAY

    TH

    URSD

    AY

    FRID

    AY

    1

    2

    3

  • 5 MULTIGRADE TOOLKIT MATHEMATICS FOUNDATION PHASE

    SUBJ

    ECT

    : MAT

    HEMA

    TICS

    (Men

    tal M

    athe

    mat

    ics, N

    umbe

    r sen

    se d

    evelo

    pmen

    t, nu

    mbe

    r con

    cept

    s, wo

    rd p

    robl

    ems,

    Patte

    rns,

    Shap

    e an

    d Sp

    ace,

    Meas

    urem

    ent,

    Data

    Han

    dlin

    g, A

    sses

    smen

    t) GR

    ADE

    MOND

    AY

    TUES

    DAY

    WED

    NESD

    AY

    THUR

    SDAY

    FR

    IDAY

    1

    2

    3

    SU

    BJEC

    T LI

    FE S

    KILL

    S (B

    egin

    ning

    know

    ledge

    and

    Pers

    onal

    and

    Socia

    l Bein

    g, C

    reat

    ive A

    rts, P

    hysic

    al Ed

    ucat

    ion)

    GR

    ADE

    MOND

    AY

    TUES

    DAY

    WED

    NESD

    AY

    THUR

    SDAY

    FR

    IDAY

    1

    2

    3

    Sc

    hool

    Bas

    ed A

    sses

    smen

    t (SB

    A) re

    quire

    men

    ts fo

    r Fou

    ndat

    ion

    Phas

    e Na

    tiona

    l Poli

    cy pe

    rtaini

    ng to

    the p

    rogr

    amme

    and p

    romo

    tion a

    nd pr

    ogre

    ssion

    requ

    ireme

    nts G

    rade

    s R to

    12 (2

    012)

    stipu

    lates

    that

    asse

    ssme

    nt in

    Foun

    datio

    n Pha

    se (G

    rade

    s R-

    3) is

    100 %

    Con

    tinuo

    us A

    sses

    smen

    t (CA

    SS) m

    eanin

    g tha

    t both

    form

    ative

    asse

    ssme

    nts (a

    sses

    smen

    t for le

    arnin

    g) an

    d sum

    mativ

    e ass

    essm

    ents

    (ass

    essm

    ent o

    f lear

    ning)

    wi

    ll be u

    sed t

    o ass

    ess,

    evalu

    ate an

    d rep

    ort o

    n the

    lear

    ner’s

    perfo

    rman

    ce an

    d pro

    gres

    s on a

    quar

    terly

    basis

    on a

    7 rati

    ng po

    int sc

    ale.

    The C

    urric

    ulum

    and A

    sses

    smen

    t Poli

    cy S

    tatem

    ent (

    CAPS

    ) map

    s the

    numb

    er of

    form

    al as

    sess

    ment

    tasks

    per t

    erm

    for ea

    ch su

    bject.

    Tea

    cher

    s are

    enco

    urag

    ed to

    inclu

    de at

    lea

    st tw

    o ass

    essm

    ent a

    ctivit

    ies in

    each

    form

    al as

    sess

    ment

    task.

    The T

    able

    2 belo

    w ind

    icates

    the n

    umbe

    r of fo

    rmal

    asse

    ssme

    nt tas

    ks pe

    r sub

    ject p

    er te

    rm. E

    xemp

    lar

    Prog

    ramm

    e of a

    sses

    smen

    t (Ta

    bles 3

    and 4

    ) pro

    vides

    an ov

    ervie

    w of

    the co

    ntent

    (conc

    epts,

    skills

    ) tha

    t sho

    uld be

    asse

    ssed

    , the

    form

    and t

    ype o

    f ass

    essm

    ent a

    nd

    asse

    ssme

    nt too

    ls to

    be us

    ed fo

    r eac

    h ass

    essm

    ent ta

    sk.

    Tabl

    e 2: F

    OUND

    ATIO

    N PH

    ASE

    SCHO

    OL B

    ASED

    ASS

    ESSM

    ENT

    HOME

    LAN

    GUAG

    E GR

    ADE

    1

    TE

    RM 1

    TERM

    2 TE

    RM 3

    TERM

    4 TO

    TAL

    GRAD

    E 1

    1 1

    1 1

    4

    GRAD

    E 2

    1 1

    1 1

    4

    GRAD

    E 3

    1 1

    1 1

    4

    FI

    RST

    ADDI

    TION

    AL L

    ANGU

    AGE

    GRAD

    E

    TE

    RM 1

    TERM

    2 TE

    RM 3

    TERM

    4 TO

    TAL

  • 6 MULTIGRADE TOOLKIT MATHEMATICS FOUNDATION PHASE

    GRAD

    E 1

    1 1

    1 1

    4

    GRAD

    E 2

    1 1

    1 1

    4

    GRAD

    E 3

    1 1

    1 1

    4

    MATH

    EMAT

    ICS

    TE

    RM 1

    TERM

    2 TE

    RM 3

    TERM

    4 TO

    TAL

    GRAD

    E 1

    1 1

    1 1

    4

    GRAD

    E 2

    1 1

    1 1

    4

    GRAD

    E 3

    1 1

    1 1

    4

    L

    IFE

    SKIL

    LS

    TE

    RM 1

    TERM

    2 TE

    RM 3

    TERM

    4 TO

    TAL

    GRAD

    E 1

    1 1

    1 1

    4

    GRAD

    E 2

    1 1

    1 1

    4

    GRAD

    E 3

    1 1

    1 1

    4

  • 7 MULTIGRADE TOOLKIT MATHEMATICS FOUNDATION PHASE

    MULT

    I-GRA

    DE A

    NNUA

    L TE

    ACHI

    NG P

    LAN:

    FOU

    NDAT

    ION

    PHAS

    E GR

    ADES

    1 TO

    3 TE

    RM 1

    N

    UMBE

    RS, O

    PERA

    TION

    S AN

    D RE

    LATI

    ONSH

    IPS

    TO

    PIC

    GRAD

    E 1

    GRAD

    E 2

    GRAD

    E 3

  • 8 MULTIGRADE TOOLKIT MATHEMATICS FOUNDATION PHASE

    1.1

    Coun

    t ob

    jects

    Coun

    t out

    conc

    rete

    obj

    ects

    to 10

    Give

    a re

    ason

    able

    estim

    ate of

    a nu

    mber

    of

    objec

    ts tha

    t can

    be ch

    ecke

    d by c

    ounti

    ng.

    Coun

    t to

    at le

    ast 1

    00 ev

    eryd

    ay o

    bjec

    ts

    relia

    bly

    Gi

    ve a

    reas

    onab

    le es

    timate

    of a

    numb

    er of

    ob

    jects

    that c

    an be

    chec

    ked b

    y cou

    nting

    .

    Stra

    tegy o

    f gro

    uping

    is en

    cour

    aged

    .

    Grou

    p to

    at le

    ast 2

    00 o

    bjec

    ts to

    es

    timat

    e and

    coun

    t reli

    ably.

    Give

    a re

    ason

    able

    estim

    ate of

    a nu

    mber

    of ob

    jects

    that c

    an be

    ch

    ecke

    d by c

    ounti

    ng.

    Th

    e stra

    tegy o

    f gro

    uping

    is

    enco

    urag

    ed.

    1.2

    Coun

    t fo

    rwar

    ds

    and

    back

    ward

    s

    Coun

    t for

    ward

    s and

    bac

    kwar

    ds in

    :

    Ones

    from

    any n

    umbe

    r betw

    een 1

    and 2

    0.

    Coun

    t for

    ward

    s and

    bac

    kwar

    ds in

    :

    1s fr

    om an

    y num

    ber b

    etwee

    n 0 an

    d 100

    10s f

    rom

    any m

    ultipl

    e of 1

    0 betw

    een 0

    and

    100

    5s

    from

    any m

    ultipl

    e of 5

    betw

    een 0

    and1

    00

    2s

    from

    any m

    ultipl

    e of 2

    betw

    een 0

    and1

    00.

    Coun

    t for

    ward

    s and

    bac

    kwar

    ds in

    :

    1s, f

    rom

    any

    numb

    er

    betw

    een

    0 an

    d 200

    10s

    from

    any

    multip

    le of

    10

    betw

    een 0

    and

    200

    5s

    from

    any

    mult

    iple

    of 5

    betw

    een

    0 and

    200

    2s fr

    om a

    ny m

    ultipl

    e of

    2 b

    etwee

    n 0 a

    nd 20

    0

    3s fr

    om a

    ny m

    ultipl

    e of

    3 b

    etwee

    n 0 a

    nd 20

    0

    4s fr

    om an

    y mult

    iple o

    f 4 b

    etwee

    n 0 a

    nd 20

    0

    100s

    to at

    leas

    t 500

    .

  • 9 MULTIGRADE TOOLKIT MATHEMATICS FOUNDATION PHASE

    NUMB

    ER C

    ONCE

    PT D

    EVEL

    OPME

    NT: R

    epre

    sent

    who

    le nu

    mbe

    rs

    1.3

    Num

    ber

    sym

    bols

    and

    num

    ber

    nam

    es

    Reco

    gnise

    , ide

    ntify

    and

    read

    num

    bers

    Rec

    ognis

    e, ide

    ntify

    and r

    ead n

    umbe

    r sy

    mbols

    1to 2

    0. •

    Write

    numb

    er sy

    mbols

    1 to

    5. •

    Rec

    ognis

    e, ide

    ntify

    and r

    ead n

    umbe

    r na

    mes 1

    to 5.

    Write

    numb

    er na

    mes 1

    to 5.

    Iden

    tify,

    reco

    gnise

    and

    read

    num

    bers

    Ide

    ntify,

    reco

    gnise

    and r

    ead n

    umbe

    r sy

    mbols

    0 to

    100.

    • W

    rite nu

    mber

    symb

    ols 0

    to100

    . • I

    denti

    fy, re

    cogn

    ise an

    d rea

    d num

    ber n

    ames

    0 to

    25.

    • Write

    numb

    er na

    mes 0

    to 25

    .

    Iden

    tify,

    reco

    gnise

    and

    read

    num

    bers

    Identi

    fy, re

    cogn

    ise an

    d rea

    d num

    ber

    symb

    ols 0

    to 50

    0. •

    Write

    numb

    er sy

    mbols

    0 to

    500.

    • Ide

    ntify,

    reco

    gnise

    and r

    ead n

    umbe

    r nam

    es

    0 to 2

    50.

    • W

    rite nu

    mber

    name

    s 0 to

    100.

    1.4

    Desc

    ribe,

    com

    pare

    an

    d or

    der

    num

    bers

    Desc

    ribe,

    com

    pare

    and

    orde

    r up

    to 5

    objec

    ts

    Co

    mpar

    e coll

    ectio

    n of o

    bjects

    acco

    rding

    to

    many

    , few;

    mos

    t, lea

    st; m

    ore t

    han,

    less t

    han;

    the sa

    me as

    , just

    as m

    any a

    s, dif

    feren

    t.

    Orde

    r coll

    ectio

    n of o

    bjects

    from

    mos

    t to

    least

    and l

    east

    to mo

    st.

    Desc

    ribe,

    com

    pare

    and

    orde

    r num

    bers

    to

    5

    Desc

    ribe a

    nd co

    mpar

    e who

    le nu

    mber

    s ac

    cord

    ing to

    small

    er th

    an, g

    reate

    r tha

    n, mo

    re th

    an, “

    less t

    han,

    is eq

    ual to

    .

    Desc

    ribe a

    nd or

    der

    numb

    ers:

    - from

    small

    est to

    grea

    test a

    nd gr

    eates

    t to

    small

    est

    - usin

    g the

    numb

    er lin

    e 1 -

    5.

    Desc

    ribe,

    com

    pare

    and

    orde

    r num

    bers

    to 25

    Comp

    are w

    hole

    numb

    ers u

    sing s

    malle

    r tha

    n, gr

    eater

    than

    mor

    e tha

    n, les

    s tha

    n and

    is

    equa

    l to.

    Or

    der w

    hole

    numb

    ers f

    rom

    small

    est to

    gr

    eates

    t, and

    grea

    test to

    small

    est.

    Desc

    ribe,

    com

    pare

    and

    orde

    r num

    bers

    to

    99

    Co

    mpar

    e who

    le nu

    mber

    s up t

    o 99 u

    sing

    small

    er th

    an, g

    reate

    r tha

    n, mo

    re th

    an,

    less t

    han a

    nd is

    equa

    l to.

    Or

    der w

    hole

    numb

    ers u

    p to 9

    9 fro

    m sm

    alles

    t to gr

    eates

    t, and

    grea

    test to

    sm

    alles

    t.

  • 10 MULTIGRADE TOOLKIT MATHEMATICS FOUNDATION PHASE

    1.5

    Plac

    e Valu

    e Co

    nsol

    idat

    ion

    of n

    umbe

    rs 1-

    5 Re

    cogn

    ise p

    lace v

    alue o

    f num

    bers

    11 to

    25

    Deco

    mpos

    e two

    -digi

    t num

    bers

    into m

    ultipl

    es

    of ten

    s and

    units

    /ones

    . •

    Identi

    fy an

    d stat

    e the

    value

    of ea

    ch di

    git.

    Reco

    gnise

    the p

    lace v

    alue o

    f num

    bers

    to

    99

    • Kn

    ow w

    hat e

    ach d

    igit r

    epre

    sents

    . •

    Deco

    mpos

    e two

    -digi

    t num

    bers

    up to

    99

    into m

    ultipl

    es of

    tens

    and o

    nes/

    units

    . •

    Identi

    fy an

    d stat

    e the

    value

    of ea

    ch di

    git.

    1.6

    Prob

    lem so

    lving

    te

    chni

    ques

    Use t

    he fo

    llowi

    ng te

    chniq

    ues w

    hen s

    olving

    pr

    oblem

    s and

    expla

    in ow

    n solu

    tions

    to

    prob

    lems

    Co

    ncre

    te ap

    para

    tus e.

    g. co

    unter

    s

    Pictu

    res t

    o dra

    w the

    stor

    y sum

    .

    Numb

    er lin

    es su

    ppor

    ted by

    co

    ncre

    te ap

    para

    tus e.

    g. co

    untin

    g be

    ads.

    Use t

    he fo

    llowi

    ng te

    chniq

    ues w

    hen s

    olving

    pr

    oblem

    s and

    expla

    in ow

    n solu

    tions

    to pr

    oblem

    s

    draw

    ings o

    r con

    crete

    appa

    ratus

    e.g.

    coun

    ters

    Bu

    ilding

    up an

    d bre

    aking

    down

    of

    numb

    ers.

    Do

    ublin

    g and

    halvi

    ng

    Nu

    mber

    lines

    supp

    orted

    by co

    ncre

    te ap

    para

    tus.

    Use t

    he fo

    llowi

    ng te

    chniq

    ues w

    hen s

    olving

    pr

    oblem

    s and

    expla

    in ow

    n solu

    tions

    to

    prob

    lems

    Bu

    ilding

    up an

    d bre

    aking

    down

    of

    numb

    ers.

    Do

    ublin

    g and

    halvi

    ng

    Nu

    mber

    lines

    1.7

    Addi

    tion

    and

    subt

    ract

    ion

    Prac

    ticall

    y solv

    e wor

    d pro

    blems

    in co

    ntext

    and e

    xplai

    n own

    solut

    ion to

    prob

    lems

    involv

    ing ad

    dition

    and

    subtr

    actio

    n with

    an

    swer

    s up

    to 5

    Prob

    lem ty

    pe: C

    hang

    e, co

    mpa

    re, e

    quali

    se

    Solve

    wor

    d pro

    blems

    in co

    ntext

    and e

    xplai

    n own

    so

    lution

    to pr

    oblem

    s inv

    olving

    addit

    ion an

    d su

    btrac

    tion w

    ith an

    swer

    s up

    to 20

    Pr

    oblem

    type

    : Cha

    nge,

    com

    pare

    , equ

    alise

    Solve

    wor

    d pro

    blems

    in co

    ntext

    and e

    xplai

    n ow

    n solu

    tion t

    o pro

    blems

    invo

    lving

    addit

    ion

    and

    subtr

    actio

    n with

    answ

    ers u

    p to

    99

    Prob

    lem ty

    pe: C

    hang

    e, co

    mpa

    re, e

    quali

    se

    1.8

    Repe

    ated

    ad

    ditio

    n lea

    ding

    to

    mul

    tiplic

    atio

    n.

    So

    lve w

    ord p

    roble

    ms in

    conte

    xt an

    d exp

    lain y

    our

    own s

    olutio

    n to p

    roble

    ms in

    volvi

    ng re

    peate

    d ad

    dition

    lead

    ing to

    mult

    iplica

    tion w

    ith an

    swer

    s up

    to 20

    .

    Solve

    numb

    er pr

    oblem

    s in c

    ontex

    t and

    expla

    in ow

    n solu

    tion t

    o pro

    blems

    invo

    lving

    mu

    ltiplic

    ation

    with

    answ

    ers u

    p to 5

    0. P

    robl

    em ty

    pe: A

    rray,

    Using

    doub

    ling

    to so

    lve

    prob

    lems

    1.9

    Grou

    ping

    and

    shar

    ing

    leadi

    ng

    to d

    ivisio

    n

    Prac

    ticall

    y solv

    e wor

    d pro

    blems

    in co

    ntext

    and e

    xplai

    n own

    solut

    ion to

    prob

    lems

    involv

    ing eq

    ual s

    harin

    g and

    grou

    ping w

    ith

    whole

    numb

    ers u

    p to 5

    and w

    ith an

    swer

    s tha

    t may

    inclu

    de re

    maind

    ers.

    Prob

    lem ty

    pe: g

    roup

    ing, s

    harin

    g and

    arra

    y

    Solve

    wor

    d pro

    blems

    in co

    ntext

    and e

    xplai

    n own

    so

    lution

    to pr

    oblem

    s tha

    t invo

    lve eq

    ual s

    harin

    g an

    d gro

    uping

    up to

    20 w

    ith an

    swer

    s tha

    t may

    inc

    lude r

    emain

    ders.

    Pr

    oblem

    type

    : gro

    uping

    , sha

    ring a

    nd ar

    ray

    Solve

    wor

    d pro

    blems

    in co

    ntext

    and e

    xplai

    n ow

    n solu

    tion t

    o pro

    blems

    that

    involv

    e equ

    al sh

    aring

    and g

    roup

    ing up

    to 50

    with

    answ

    ers

    that m

    ay in

    clude

    rema

    inder

    s. Pr

    oblem

    type

    : gro

    uping

    , sha

    ring a

    nd ar

    ray

    1.10 F

    ract

    ions

    Cons

    olid

    ate w

    ord

    prob

    lems i

    nvol

    ving

    equa

    l sha

    ring

    with

    answ

    ers t

    hat m

    ay

    inclu

    de re

    main

    ders

    .

    Cons

    olid

    ate w

    ord

    prob

    lems i

    nvol

    ving

    equa

    l sh

    arin

    g wi

    th an

    swer

    s tha

    t may

    inclu

    de

    rem

    ainde

    rs.

    Solve

    and e

    xplai

    n solu

    tions

    to pr

    actic

    al pr

    oblem

    s tha

    t invo

    lve eq

    ual s

    harin

    g lea

    ding t

    o so

    lution

    s tha

    t inclu

    de un

    itary

    and n

    on-u

    nitar

    y fra

    ction

    s e.g.

    ½ ,¼

    ,¾ et

    c.

  • 11 MULTIGRADE TOOLKIT MATHEMATICS FOUNDATION PHASE

    1.11

    M

    oney

    Reco

    gnise

    and i

    denti

    fy RS

    A co

    ins 5c

    , 10c

    , 20

    c, 50

    c, R1

    , R2,

    R5, a

    nd ba

    nk no

    tes R

    10,

    R20,

    R50

    So

    lve m

    oney

    prob

    lems

    involv

    ing to

    tals a

    nd

    chan

    ge in

    cent

    s up

    to 50

    c and

    rand

    s to

    R20

    Re

    cogn

    ise an

    d ide

    ntify

    the S

    outh

    Afric

    an

    coins

    and b

    ank n

    otes.

    Solve

    mon

    ey pr

    oblem

    s inv

    olving

    total

    s an

    d cha

    nge i

    n ra

    nds a

    nd ce

    nts.

    1.12

    Tech

    niqu

    es

    (met

    hods

    or

    stra

    tegi

    es)

    Use t

    he fo

    llowi

    ng te

    chniq

    ues w

    hen

    perfo

    rming

    calcu

    lation

    s:

    Con

    crete

    appa

    ratus

    e.g.

    coun

    ters

    Dr

    aw pi

    cture

    s.

    Numb

    er lin

    es su

    ppor

    ted by

    co

    ncre

    te ap

    para

    tus e.

    g. co

    untin

    g be

    ads.

    Use t

    he fo

    llowi

    ng te

    chniq

    ues w

    hen p

    erfor

    ming

    ca

    lculat

    ions:

    Draw

    ings o

    r con

    crete

    appa

    ratus

    e.g.

    coun

    ters

    Bu

    ilding

    up an

    d bre

    aking

    down

    of nu

    mber

    s.

    Doub

    ling a

    nd ha

    lving

    Numb

    er lin

    es su

    ppor

    ted by

    conc

    rete

    appa

    ratus

    .

    Use t

    he fo

    llowi

    ng te

    chniq

    ues w

    hen

    perfo

    rming

    calcu

    lation

    s:

    Bu

    ilding

    up an

    d bre

    aking

    down

    of

    numb

    ers.

    Do

    ublin

    g and

    halvi

    ng

    Nu

    mber

    lines

    1.13

    Addi

    tion

    and

    subt

    ract

    ion

    Num

    ber r

    ange

    : 1-5

    Add u

    p to 5

    Subtr

    act fr

    om 5.

    Prac

    tise n

    umbe

    r bon

    ds to

    5

    Ad

    d up t

    o 20

    Subtr

    act f

    rom

    20

    Us

    e app

    ropr

    iate s

    ymbo

    ls

    Pr

    actis

    e num

    ber b

    onds

    to 10

    Ad

    d up t

    o 99

    Subtr

    act f

    rom

    99

    Us

    e app

    ropr

    iate s

    ymbo

    ls

    Pr

    actis

    e num

    ber b

    onds

    to 20

    1.14

    Repe

    ated

    ad

    ditio

    n lea

    ding

    to

    mul

    tiplic

    atio

    n

    Ad

    d the

    same

    numb

    er re

    peate

    dly to

    20

    Mu

    ltiply

    numb

    ers 1

    -10 b

    y 2

    Us

    e app

    ropr

    iate s

    ymbo

    ls

    Mu

    ltiply

    numb

    ers 1

    -10 b

    y 2, 5

    , 3,4

    Us

    e app

    ropr

    iate s

    ymbo

    ls

    1.15

    Divis

    ion

    Cons

    olida

    te wo

    rd pr

    oblem

    s inv

    olving

    equa

    l sh

    aring

    lead

    ing to

    divis

    ion.

    Cons

    olida

    te wo

    rd pr

    oblem

    s inv

    olving

    equa

    l sh

    aring

    lead

    ing to

    answ

    ers w

    ith re

    maind

    ers.

    Di

    vide n

    umbe

    rs to

    50 by

    2, 5,

    10

    Us

    e app

    ropr

    iate s

    ymbo

    ls

    1.16

    Ment

    al m

    athe

    mat

    ics

    Num

    ber c

    once

    pt: R

    ange

    5

    Or

    der a

    give

    n set

    of se

    lected

    nu

    mber

    s.

    Co

    mpar

    e num

    bers

    up to

    5 an

    d say

    wh

    ich is

    mor

    e or le

    ss

    Num

    ber c

    once

    pt: R

    ange

    25

    Or

    der a

    give

    n set

    of se

    lected

    numb

    ers

    Co

    mpar

    e num

    bers

    to 25

    and s

    ay w

    hich i

    s: -

    1 m

    ore o

    r 1

    less

    - 2

    mor

    e or

    2 les

    s -

    10 m

    ore o

    r 10 l

    ess

    Num

    ber c

    once

    pt: R

    ange

    200

    Or

    der a

    give

    n set

    of se

    lected

    numb

    ers

    Co

    mpar

    e num

    bers

    to 20

    0 and

    say w

    hich

    is:

    - 1 m

    ore o

    r 1 le

    ss

    - 2 m

    ore o

    r 2 le

    ss

    - 3 m

    ore o

    r 3 le

    ss

    - 4 m

    ore o

    r 4 le

    ss

    - 5 m

    ore o

    r 5 le

    ss

    - 10

    mor

    e or 1

    0 les

    s

  • 12 MULTIGRADE TOOLKIT MATHEMATICS FOUNDATION PHASE

    Rapi

    dly r

    ecall

    :

    Reca

    ll add

    ition a

    nd su

    btrac

    tion f

    acts

    to 10

    . Ca

    lculat

    ion

    stra

    tegi

    es

    Use c

    alcula

    tion s

    trateg

    ies to

    add a

    nd su

    btrac

    t eff

    icien

    tly:

    Pu

    t the l

    arge

    numb

    er fir

    st in

    orde

    r to c

    ount

    on or

    coun

    t bac

    k.

    Menta

    l num

    ber-l

    ine.

    D

    oubli

    ng an

    d halv

    ing

    Bu

    ilding

    up an

    d bre

    aking

    down

    of nu

    mber

    s.

    Use t

    he re

    lation

    ship

    betw

    een a

    dditio

    n and

    su

    btrac

    tion.

    Rapi

    dly r

    ecall

    :

    Ad

    dition

    and s

    ubtra

    ction

    facts

    to 20

    .

    Add o

    r sub

    tract

    multip

    les of

    10 fr

    om 0-

    100.

    Ment

    al st

    rate

    gies

    Us

    e calc

    ulatio

    n stra

    tegies

    :

    Put th

    e lar

    ge nu

    mber

    first

    in or

    der t

    o co

    unt o

    n or c

    ount

    back

    .

    Numb

    er-lin

    e.

    Doub

    ling a

    nd ha

    lving

    Build

    ing up

    and b

    reak

    ing do

    wn of

    nu

    mber

    s.

    Use t

    he re

    lation

    ship

    betw

    een a

    dditio

    n and

    su

    btrac

    tion.

    1.17

    Frac

    tions

    Co

    nsoli

    date

    word

    prob

    lems i

    nvolv

    ing eq

    ual

    shar

    ing le

    ading

    to an

    swer

    s with

    re

    maind

    ers.

    Cons

    olida

    te wo

    rd pr

    oblem

    s inv

    olving

    equa

    l sh

    aring

    lead

    ing to

    answ

    ers w

    ith re

    maind

    ers.

    Us

    e and

    name

    unita

    ry fra

    ction

    s inc

    luding

    ha

    lves,

    quar

    ters,

    third

    s, fift

    hs

    Re

    cogn

    ise fr

    actio

    ns in

    diag

    ramm

    atic f

    orm.

    Write

    frac

    tions

    as 1

    half,

    1 thir

    d.

  • 13 MULTIGRADE TOOLKIT MATHEMATICS FOUNDATION PHASE

    MULT

    IGRA

    DE A

    NNUA

    L TE

    ACHI

    NG P

    LAN

    PATT

    ERN,

    FUN

    CTIO

    NS A

    ND A

    LGEB

    RA -

    TERM

    1 TO

    PIC

    GRAD

    E 1

    GRAD

    E 2

    GRAD

    E 3

    2.2

    Num

    ber

    patte

    rns

    Copy

    , ext

    end

    and

    desc

    ribe

    Copy

    , exte

    nd an

    d des

    cribe

    simp

    le nu

    mber

    se

    quen

    ces t

    o at le

    ast 2

    0. Se

    quen

    ce sh

    ould

    show

    coun

    ting

    forwa

    rds a

    nd ba

    ckwa

    rds i

    n: •

    Ones

    from

    any n

    umbe

    r betw

    een 1

    and 2

    0

    Copy

    , ext

    end

    and

    desc

    ribe

    Copy

    , exte

    nd an

    d des

    cribe

    in w

    ords

    simple

    patte

    rns m

    ade w

    ith ph

    ysica

    l o

    bjects

    simple

    patte

    rns m

    ade w

    ith dr

    awing

    s o

    f line

    s, sh

    apes

    or ob

    jects

    Rang

    e of p

    atte

    rns:

    Simp

    le pa

    ttern

    s in w

    hich s

    hape

    s or g

    roup

    s of

    shap

    es ar

    e rep

    eated

    in

    exac

    tly th

    e sam

    e way

    Cr

    eate

    and

    desc

    ribe o

    wn p

    atte

    rns

    • Cre

    ate ow

    n geo

    metric

    patte

    rns

    - with

    phys

    ical o

    bjects

    - b

    y dra

    wing

    lines

    , sha

    pes o

    r obje

    cts

    • Des

    cribe

    own p

    atter

    ns

    Copy

    , ext

    end

    and

    desc

    ribe

    Copy

    , exte

    nd an

    d des

    cribe

    simp

    le nu

    mber

    se

    quen

    ces t

    o at le

    ast 1

    00.

    Sequ

    ence

    s sho

    uld sh

    ow co

    untin

    g for

    ward

    s and

    back

    ward

    s in:

    • 1s

    from

    any n

    umbe

    r betw

    een 0

    and 1

    00

    • 10

    s fro

    m an

    y mult

    iple o

    f 10 b

    etwee

    n 0 an

    d 100

    5s fr

    om an

    y mult

    iple o

    f 5 be

    twee

    n 0 an

    d 100

    2s fr

    om an

    y mult

    iple o

    f 2 be

    twee

    n 0 an

    d 100

    Copy

    , ext

    end

    and

    desc

    ribe

    Copy

    , exte

    nd an

    d des

    cribe

    in w

    ords

    simp

    le pa

    ttern

    s mad

    e with

    phys

    ical

    o

    bjects

    simp

    le pa

    ttern

    s mad

    e with

    draw

    ings

    o

    f line

    s, sh

    apes

    or ob

    jects

    Rang

    e of p

    atte

    rns:

    • S

    imple

    patte

    rns i

    n whic

    h sha

    pes o

    r gr

    oups

    of

    shap

    es ar

    e rep

    eated

    in

    exac

    tly th

    e sam

    e way

    . Cr

    eate

    and

    desc

    ribe o

    wn p

    atte

    rns

    • Cr

    eate

    own g

    eome

    tric pa

    ttern

    s - w

    ith ph

    ysica

    l obje

    cts

    - by d

    rawi

    ng lin

    es, s

    hape

    s or o

    bjects

    . •

    Des

    cribe

    own p

    atter

    ns.

    Copy

    , ext

    end

    and

    desc

    ribe

    Copy

    , exte

    nd an

    d des

    cribe

    simp

    le nu

    mber

    se

    quen

    ces t

    o at le

    ast 2

    00.

    Sequ

    ence

    s sho

    uld sh

    ow co

    untin

    g for

    ward

    s an

    d bac

    kwar

    ds in

    : •

    the i

    nterva

    ls sp

    ecifie

    d in G

    rade

    2 wi

    th inc

    reas

    ed nu

    mber

    rang

    es

    • 10

    0s to

    at le

    ast 5

    00

    2.2

    Nu

    mbe

    r pa

    ttern

    s

    Copy

    , ext

    end

    and

    desc

    ribe

    Copy

    , exte

    nd an

    d des

    cribe

    simp

    le nu

    mber

    se

    quen

    ces t

    o at le

    ast 2

    0. Se

    quen

    ce sh

    ould

    show

    coun

    ting

    forwa

    rds a

    nd ba

    ckwa

    rds i

    n: • o

    nes f

    rom

    any n

    umbe

    r betw

    een 1

    and 2

    0

  • 14 MULTIGRADE TOOLKIT MATHEMATICS FOUNDATION PHASE

  • 15 MULTIGRADE TOOLKIT MATHEMATICS FOUNDATION PHASE

    MULT

    IGRA

    DE A

    NNUA

    L TE

    ACHI

    NG P

    LAN

    SPAC

    E AN

    D SH

    APE

    - TER

    M 1

    TOPI

    CS

    Grad

    e 1

    Grad

    e 2

    Grad

    e 3

    3.1

    Posit

    ion,

    or

    ienta

    tion

    and

    views

    Lang

    uage

    of p

    ositi

    on

    Desc

    ribe t

    he po

    sition

    of on

    e obje

    ct in

    relat

    ion

    to an

    other

    e.g.

    on to

    p of ,

    in fro

    nt of

    , beh

    ind,

    left, r

    ight, u

    p, do

    wn, n

    ext to

    . Po

    sitio

    n an

    d di

    rect

    ions

    Follo

    w dir

    ectio

    ns to

    mov

    e aro

    und t

    he

    class

    room

    Follo

    w ins

    tructi

    ons t

    o plac

    e one

    objec

    t in

    relat

    ion to

    anoth

    er e.

    g. pu

    t the p

    encil

    ins

    ide th

    e box

    Su

    gges

    ted

    focu

    s seq

    uenc

    ing o

    f wor

    k for

    Te

    rm 1

    La

    ngua

    ge of

    posit

    ion sh

    ould

    be

    intro

    duce

    d thr

    ough

    prac

    tical

    activ

    ities

    that in

    volve

    lear

    ners

    in ph

    ysica

    l mo

    veme

    nt

    This

    can b

    e con

    solid

    ated t

    hrou

    gh w

    ritten

    re

    cord

    ing su

    ch as

    draw

    ing, c

    olour

    ing or

    ma

    tching

    draw

    ings w

    ith w

    ords

    Apply

    the l

    angu

    age o

    f pos

    ition l

    earn

    t wh

    en fo

    llowi

    ng di

    recti

    ons

    Di

    recti

    ons s

    hould

    be pr

    actis

    ed th

    roug

    h pr

    actic

    al ac

    tivitie

    s in w

    hich l

    earn

    ers

    move

    them

    selve

    s or o

    bjects

    acco

    rding

    to

    instru

    ction

    s

    CONS

    OLID

    ATIO

    N OF

    POS

    ITIO

    N,

    ORIE

    NTAT

    ION

    AND

    VIEW

    S CO

    NSOL

    IDAT

    ION

    OF P

    OSIT

    ION,

    OR

    IENT

    ATIO

    N AN

    D VI

    EWS

    3.2

    3-D

    objec

    ts

    Rang

    e of o

    bjec

    ts

    Reco

    gnise

    and n

    ame 3

    -D ob

    jects

    in the

    cla

    ssro

    om an

    d in p

    ictur

    es

    ba

    ll sha

    pes (

    sphe

    res)

    bo

    x sha

    pes (

    prism

    s) Fe

    atur

    es o

    f obj

    ects

    De

    scrib

    e, so

    rt an

    d com

    pare

    3-D

    objec

    ts in

    terms

    of:

    siz

    e

    colou

    r

    Rang

    e of o

    bjec

    ts

    Reco

    gnise

    and n

    ame 3

    -D ob

    jects

    in the

    cla

    ssro

    om an

    d in p

    ictur

    es

    ba

    ll sha

    pes (

    sphe

    res)

    bo

    x sha

    pes (

    prism

    s)

    Feat

    ures

    of o

    bjec

    ts

    Desc

    ribe,

    sort

    and c

    ompa

    re 3-

    D ob

    jects

    in ter

    ms of

    :

    size

    ob

    jects

    that r

    oll

    CONS

    OLID

    ATIO

    N OF

    POS

    ITIO

    N,

    ORIE

    NTAT

    ION

    AND

    VIEW

    S

  • 16 MULTIGRADE TOOLKIT MATHEMATICS FOUNDATION PHASE

    Fo

    cuse

    d ac

    tiviti

    es

    Obse

    rve an

    d buil

    d give

    n 3-D

    objec

    ts us

    ing

    conc

    rete

    mater

    ials s

    uch a

    s buil

    ding b

    locks

    , re

    cycli

    ng m

    ateria

    l, con

    struc

    tion k

    its

    Sugg

    este

    d fo

    cus a

    nd se

    quen

    cing

    of

    activ

    ities

    for T

    erm

    1

    Free

    play

    with

    vario

    us 3-

    D ob

    jects.

    Bu

    ilding

    thing

    s of o

    wn ch

    oice u

    sing

    build

    ing bl

    ocks

    , con

    struc

    tion k

    its or

    re

    cycli

    ng m

    ateria

    l. This

    can b

    e don

    e in

    indep

    ende

    nt tim

    e

    Copy

    a mo

    del o

    f som

    ething

    the t

    each

    er

    prov

    ides.

    This

    can b

    e don

    e in

    indep

    ende

    nt tim

    e

    Comp

    are t

    he si

    ze of

    simi

    lar ob

    jects

    e.g.

    say w

    hich b

    all is

    larg

    er

    Ta

    lk ab

    out th

    e colo

    urs o

    f obje

    cts an

    d the

    n sor

    t obje

    cts ac

    cord

    ing to

    colou

    r

    Identi

    fy an

    d des

    cribe

    geom

    etric

    and

    ever

    yday

    objec

    ts by

    sayin

    g whe

    ther a

    re

    shap

    ed lik

    e a ba

    ll or t

    hey a

    re sh

    aped

    lik

    e a bo

    x

    Wor

    k is c

    onso

    lidate

    d thr

    ough

    writt

    en

    exer

    cises

    ob

    jects

    that s

    lide

    Focu

    sed

    activ

    ities

    Obse

    rve an

    d buil

    d give

    n 3-D

    objec

    ts us

    ing co

    ncre

    te ma

    terial

    s suc

    h as c

    ut-ou

    t 2-

    D sh

    apes

    , buil

    ding b

    locks

    , rec

    yclin

    g, co

    nstru

    ction

    kits,

    othe

    r 3-D

    geom

    etric

    objec

    ts Su

    gges

    ted

    focu

    s and

    sequ

    encin

    g of

    ac

    tiviti

    es fo

    r Ter

    m 1

    Co

    py a

    mode

    l of s

    ometh

    ing th

    e tea

    cher

    pr

    ovide

    s. Mo

    dels

    or co

    nstru

    ction

    s can

    be

    mad

    e usin

    g buil

    ding b

    locks

    , re

    cycli

    ng, c

    onstr

    uctio

    n kits

    , othe

    r 3-D

    ge

    ometr

    ic ob

    jects,

    and c

    ut-ou

    t 2-D

    sh

    apes

    . This

    can b

    e don

    e in

    indep

    ende

    nt tim

    e

    Comp

    are a

    nd de

    scrib

    e the

    size

    of

    simila

    r obje

    cts e.

    g. sta

    ck bo

    xes f

    rom

    gr

    eates

    t to sm

    alles

    t W

    ork w

    ith

    ba

    lls an

    d obje

    cts sh

    aped

    like b

    alls

    va

    rious

    boxe

    s and

    othe

    r obje

    cts sh

    aped

    lik

    e rec

    tangu

    lar pr

    isms o

    r cub

    es

    Inves

    tigate

    whic

    h of th

    e obje

    cts ca

    n roll

    , wh

    ich sl

    ide, w

    hich c

    an be

    stac

    ked.

    Ide

    ntify

    and d

    escri

    be ge

    ometr

    ic an

    d ev

    eryd

    ay ob

    jects

    by sa

    ying w

    hethe

    r are

    sh

    aped

    like a

    ball,

    shap

    ed lik

    e a bo

    x, sh

    aped

    lik

    e a cy

    linde

    r. W

    ork i

    s con

    solid

    ated t

    hrou

    gh w

    ritten

    ex

    ercis

    es.

    3.3

    2-D

    shap

    es

    Cons

    olida

    tion o

    f 2-D

    shap

    es

    Cons

    olida

    tion o

    f 2-D

    shap

    es

    Rang

    e of s

    hape

    s

    Circl

    es

    Tr

    iangle

    s

    Squa

    res

    Re

    ctang

    les

  • 17 MULTIGRADE TOOLKIT MATHEMATICS FOUNDATION PHASE

    Fe

    atur

    es o

    f sha

    pes

    Desc

    ribe,

    sort

    and c

    ompa

    re 2-

    D sh

    apes

    in

    terms

    of:

    sh

    ape

    str

    aight

    sides

    roun

    d side

    s Su

    gges

    ted

    focu

    s of a

    ctivi

    ties f

    or T

    erm

    1 Na

    me an

    d gro

    up sh

    apes

    . Fo

    cus o

    n the

    kind

    of si

    des t

    hat e

    ach s

    hape

    ha

    s. Di

    sting

    uish s

    hape

    s by t

    alking

    abou

    t whe

    ther

    their s

    ides a

    re ro

    und o

    r stra

    ight.

    Draw

    circl

    es, s

    quar

    es, r

    ectan

    gles a

    nd

    triang

    les.

    Wor

    k is c

    onso

    lidate

    d thr

    ough

    writt

    en

    exer

    cises

    . 3.4

    Sy

    mm

    etry

  • 18 MULTIGRADE TOOLKIT MATHEMATICS FOUNDATION PHASE

    MU

    LTI-G

    RADE

    ANN

    UAL T

    EACH

    ING

    PLAN

    ME

    ASUR

    EMEN

    T –TE

    RM 1

    TOPI

    CS

    GRAD

    E 1

    GRAD

    E 2

    GRAD

    E 3

    4.1

    Tim

    e

    Pass

    ing

    of ti

    me

    Talk

    abou

    t pas

    sing o

    f time

    Or

    der r

    egula

    r eve

    nts fr

    om th

    eir ow

    n liv

    es

    Co

    mpar

    e len

    gths o

    f time

    using

    lan

    guag

    e e.g.

    long

    er, s

    horte

    r, fas

    ter,

    slowe

    r

    Sequ

    ence

    even

    ts us

    ing la

    ngua

    ge

    such

    as ye

    sterd

    ay, to

    day,

    tomor

    row

    Tellin

    g th

    e tim

    e

    Desc

    ribe w

    hen s

    ometh

    ing ha

    ppen

    s us

    ing la

    ngua

    ge e.

    g. mo

    rning

    , aft

    erno

    on, n

    ight, e

    arly,

    late

    Na

    me an

    d seq

    uenc

    e day

    s of w

    eek

    and m

    onths

    of ye

    ar

    Pl

    ace b

    irthda

    ys on

    a ca

    lenda

    r

    Tellin

    g th

    e tim

    e

    Name

    and s

    eque

    nce d

    ays o

    f wee

    k

    Name

    and s

    eque

    nce m

    onths

    of ye

    ar

    Pl

    ace b

    irthda

    ys, r

    eligio

    us fe

    stiva

    ls, pu

    blic

    holid

    ays,

    histor

    ical e

    vents

    , sch

    ool e

    vents

    on a

    calen

    dar

    Te

    ll 12-

    hour

    time i

    n hou

    rs an

    d half

    hour

    s on

    analo

    gue c

    locks

    Ca

    lculat

    e len

    gth

    of ti

    me a

    nd p

    assin

    g of

    tim

    e

    Us

    e cloc

    ks to

    calcu

    late l

    ength

    of tim

    e in h

    ours

    or

    half h

    ours

    Tellin

    g th

    e tim

    e

    Read

    dates

    on ca

    lenda

    rs

    Plac

    e birth

    days

    , reli

    gious

    festi

    vals,

    publi

    c holi

    days

    , his

    torica

    l eve

    nts, s

    choo

    l eve

    nts on

    a ca

    lenda

    r

    Te

    ll 12-

    hour

    time i

    n

    hour

    s

    half h

    ours

    qu

    arter

    hour

    s

    minu

    tes

    on an

    alogu

    e cloc

    ks an

    d digi

    tal cl

    ocks

    and o

    ther d

    igital

    ins

    trume

    nts th

    at sh

    ow tim

    e e.g.

    cell p

    hone

    s

    4.2

    Leng

    th

    Info

    rmal

    mea

    surin

    g

    Comp

    are a

    nd or

    der t

    he le

    ngth,

    he

    ight o

    r widt

    h of tw

    o or m

    ore

    objec

    ts by

    plac

    ing th

    em ne

    xt to

    each

    oth

    er

    Us

    e lan

    guag

    e to t

    alk ab

    out th

    e co

    mpar

    ison e

    .g. lo

    nger

    , sho

    rter,

    taller

    , wide

    r

    Estim

    ate, m

    easu

    re, c

    ompa

    re, o

    rder

    an

    d rec

    ord l

    ength

    using

    non-

    stand

    ard m

    easu

    res e

    .g. ha

    nd sp

    ans,

    pace

    s, pe

    ncil l

    ength

    s, co

    unter

    s, etc

    .

    Info

    rmal

    mea

    surin

    g

    Estim

    ate, m

    easu

    re, c

    ompa

    re, o

    rder

    and r

    ecor

    d len

    gth us

    ing no

    n-sta

    ndar

    d mea

    sure

    s e.g.

    hand

    sp

    ans,

    pace

    s, pe

    ncil l

    ength

    s, co

    unter

    s etc.

    Desc

    ribe t

    he le

    ngth

    of ob

    jects

    by co

    untin

    g and

    sta

    ting t

    he le

    ngth

    in inf

    orma

    l unit

    s

    Use l

    angu

    age t

    o talk

    abou

    t the c

    ompa

    rison

    e.g.

    longe

    r, sh

    orter

    , talle

    r, wi

    der

    Intro

    ducin

    g fo

    rmal

    mea

    surin

    g

    Estim

    ate, m

    easu

    re, o

    rder

    and r

    ecor

    d len

    gth

    using

    metr

    es (e

    ither

    metr

    e stic

    ks or

    metr

    e lon

    g len

    gths o

    f strin

    g) as

    the s

    tanda

    rd un

    it of le

    ngth

    Cons

    olid

    atio

    n of

    gra

    de 2

    info

    rmal

    mea

    surin

    g:

    4.3

    Info

    rmal

    mea

    surin

    g

    Estim

    ate, m

    easu

    re, c

    ompa

    re, o

    rder

    Co

    nsol

    idat

    ion

    of g

    rade

    1 in

    form

    al wo

    rk:

    Cons

    olid

    atio

    n of

    gra

    de 2

    info

    rmal

    work

    :

  • 19 MULTIGRADE TOOLKIT MATHEMATICS FOUNDATION PHASE

    Mass

    and r

    ecor

    d mas

    s usin

    g a ba

    lancin

    g sc

    ale an

    d non

    -stan

    dard

    mea

    sure

    s e.g

    . bloc

    ks, b

    ricks

    , etc.

    Use l

    angu

    age t

    o talk

    abou

    t the

    comp

    ariso

    n e.g.

    light,

    heav

    y, lig

    hter,

    heav

    ier

    4.4

    Capa

    city/V

    olum

    e

    Info

    rmal

    mea

    surin

    g

    Comp

    are a

    nd or

    der t

    he am

    ount

    of liq

    uid (v

    olume

    ) in tw

    o con

    taine

    rs pla

    ced n

    ext to

    each

    othe

    r. Le

    arne

    rs ch

    eck b

    y pou

    ring i

    nto a

    third

    co

    ntaine

    r if ne

    cess

    ary

    Cons

    olid

    atio

    n

    Info

    rmal

    mea

    surin

    g

    Estim

    ate, m

    easu

    re, c

    ompa

    re an

    d ord

    er th

    e ca

    pacit

    y of c

    ontai

    ners

    (i.e. th

    e amo

    unt th

    e co

    ntaine

    r can

    hold

    if fille

    d) by

    using

    non-

    stand

    ard

    meas

    ures

    e.g.

    spoo

    ns an

    d cup

    s

    Desc

    ribe t

    he ca

    pacit

    y of th

    e con

    taine

    r by c

    ounti

    ng

    and s

    tating

    how

    many

    of th

    e info

    rmal

    units

    it tak

    es

    to fill

    the c

    ontai

    ner e

    .g. th

    e bott

    le ha

    s the

    capa

    city

    of fou

    r cup

    s In

    trodu

    cing

    form

    al m

    easu

    ring

    Es

    timate

    , mea

    sure

    , com

    pare

    , ord

    er an

    d rec

    ord t

    he

    capa

    city o

    f obje

    cts by

    mea

    surin

    g in l

    itres,

    half l

    itres

    and q

    uarte

    r litre

    s

    using

    bottle

    s with

    a ca

    pacit

    y of 1

    litre

    , or

    conta

    iners

    whos

    e cap

    acity

    is st

    ated i

    n mi

    llilitre

    s e.g.

    cool

    drink

    cans

    mea

    surin

    g jug

    s in w

    hich n

    umbe

    red c

    alibr

    ation

    lin

    es sh

    ow lit

    res,

    half l

    itres a

    nd qu

    arter

    litre

    s

    meas

    uring

    jugs

    whic

    h hav

    e num

    bere

    d ca

    libra

    tion l

    ines f

    or m

    illilitr

    es

    me

    asur

    ing cu

    ps an

    d tea

    spoo

    ns w

    hich i

    ndica

    te the

    ir cap

    acity

    Comp

    are,

    orde

    r and

    reco

    rd th

    e cap

    acity

    of

    comm

    ercia

    lly pa

    ckag

    ed ob

    jects

    whos

    e cap

    acity

    is

    stated

    in lit

    res e

    .g. 2

    litres

    of m

    ilk, 1

    litre

    of co

    ol dr

    ink, 5

    litre

    s of p

    aint, o

    r in m

    illilitr

    es e.

    g. 50

    0 ml o

    f mi

    lk, 34

    0 milli

    litres

    of co

    ol dr

    ink, 7

    50 m

    illilitr

    es of

    oil

    Kn

    ow th

    at a s

    tanda

    rd cu

    p is 2

    50 m

    illilitr

    es

    Kn

    ow th

    at a t

    easp

    oon i

    s 5 m

    illilitr

    es

    No co

    nver

    sions

    betw

    een m

    illilitr

    es an

    d litre

    s re

    quire

    d

  • 20 MULTIGRADE TOOLKIT MATHEMATICS FOUNDATION PHASE

    Form

    al As

    sess

    men

    t Tas

    k – T

    erm

    1

    MULT

    I-GRA

    DE A

    NNUA

    L TEA

    CHIN

    G PL

    AN

    DATA

    HAN

    DLIN

    G -T

    ERM

    1

    TOPI

    CS

    GRAD

    E 1

    GRAD

    E 2

    GRAD

    E 3

    5.1

    Colle

    ct an

    d so

    rt ob

    jects

    5.2

    Re

    pres

    ent s

    orte

    d co

    llect

    ion

    of o

    bjec

    ts

    5.3

    Disc

    uss a

    nd re

    port

    on

    sorte

    d co

    llect

    ion

    of

    objec

    ts

    5.4

    Colle

    ct an

    d or

    gani

    se

    data

    5.5

    Re

    pres

    ent d

    ata

    5.6

    Analy

    se an

    d In

    terp

    ret

    data

    Colle

    ct an

    d sor

    t eve

    ryday

    phys

    ical o

    bjects

    . D

    raw

    a pict

    ure o

    f the s

    orted

    objec

    ts.

    Gi

    ve re

    ason

    s for

    how

    the co

    llecti

    on w

    as

    sorte

    d An

    swer

    ques

    tions

    abou

    t:

    how

    the so

    rting w

    as do

    ne (p

    roce

    ss)

    wh

    at the

    sorte

    d coll

    ectio

    n loo

    ks lik

    e (p

    rodu

    ct)

    De

    scrib

    e the

    sorte

    d coll

    ectio

    n

    Reco

    mm

    ende

    d:

    Who

    le da

    ta cy

    cle to

    mak

    e clas

    s pict

    ogra

    ph

    with

    one-

    to-on

    e cor

    resp

    onde

    nce

    Co

    llect

    data

    abou

    t the c

    lass o

    r sch

    ool to

    an

    swer

    ques

    tions

    pose

    d by t

    he te

    ache

    r.

    Re

    pres

    ent d

    ata in

    picto

    grap

    h with

    one-

    to-on

    e cor

    resp

    onde

    nce.

    An

    swer

    ques

    tions

    abou

    t data

    in pi

    ctogr

    aph

    with

    one-

    to-on

    e cor

    resp

    onde

    nce.

    Reco

    mm

    ende

    d:

    Who

    le da

    ta cy

    cle to

    mak

    e bar

    grap

    h. Co

    llect

    data

    abou

    t the c

    lass o

    r sch

    ool to

    an

    swer

    ques

    tions

    pose

    d by t

    he te

    ache

    r. Us

    e tall

    ies to

    reco

    rd da

    ta in

    categ

    ories

    pr

    ovide

    d. Re

    pres

    ent d

    ata in

    Table

    s

    Bar g

    raph

    s Ta

    lk ab

    out a

    nd an

    swer

    ques

    tions

    abou

    t data

    in

    tables

    and b

    ar gr

    aphs

    .

    Grad

    e 1

    Grad

    e 2

    Grad

    e 3

    SUMM

    ATIV

    E FO

    RMAL

    ASS

    ESSM

    ENT

    - REF

    ER T

    O AS

    SESS

    MENT

    FRA

    MEW

    ORK

    PROV

    IDED

    Or

    al, P

    racti

    cal &

    Writt

    en

    Oral,

    Pra

    ctica

    l & W

    ritten

    Or

    al, P

    racti

    cal &

    Writt

    en

    Asse

    ss al

    l Con

    tent A

    reas

    As

    sess

    all C

    onten

    t Are

    as

    Asse

    ss al

    l Con

    tent A

    reas

  • 21 MULTIGRADE TOOLKIT MATHEMATICS FOUNDATION PHASE

    See C

    APS

    docu

    men

    t:

    Page

    10 fo

    r weig

    hting

    of C

    onten

    t Are

    as ta

    ble 2.

    2 Pa

    ge 48

    8-51

    2 for

    exem

    plars

    MULT

    I-GRA

    DE A

    NNUA

    L TE

    ACHI

    NG P

    LAN

    NUMB

    ERS

    OPER

    ATIO

    NS A

    ND R

    ELAT

    IONS

    HIPS

    - TE

    RM 2

    TOPI

    C GR

    ADE

    1 GR

    ADE

    2 GR

    ADE

    3 1.1

    Co

    unt o

    bjec

    ts

    • Co

    unt o

    ut co

    ncre

    te ob

    jects

    relia

    bly to

    20.

    • Gi

    ve a

    reas

    onab

    le es

    timate

    of a

    numb

    er of

    ob

    jects

    that c

    an be

    chec

    ked b

    y cou

    nting

    . •

    Coun

    ting b

    y gro

    uping

    is en

    cour

    aged

    .

    Coun

    t to at

    leas

    t 150

    ever

    yday

    objec

    ts re

    liably

    . •

    Gi

    ve a

    reas

    onab

    le es

    timate

    of a

    numb

    er of

    ob

    jects

    that c

    an be

    chec

    ked b

    y cou

    nting

    . •

    St

    rateg

    y of g

    roup

    ing is

    enco

    urag

    ed.

    Grou

    p to a

    t leas

    t 500

    objec

    ts to

    estim

    ate an

    d co

    unt r

    eliab

    ly.

    • Gi

    ve a

    reas

    onab

    le es

    timate

    of a

    numb

    er of

    ob

    jects

    that c

    an be

    chec

    ked b

    y cou

    nting

    .

    • Th

    e stra

    tegy o

    f gro

    uping

    is en

    cour

    aged

    .

    1.2

    Coun

    t for

    ward

    s An

    d ba

    ckwa

    rds

    Coun

    t for

    ward

    s and

    bac

    kwar

    ds in

    : •

    Ones

    from

    any n

    umbe

    r be

    twee

    n 0 an

    d 50

    Coun

    t for

    ward

    s in

    10s f

    rom

    any m

    ultipl

    e of 1

    0 be

    twee

    n 0

    and 5

    0 •

    5s fr

    om an

    y mult

    iple o

    f 5 be

    twee

    n 0 an

    d 50

    2s fr

    om an

    y mult

    iple o

    f 2 be

    twee

    n 0 an

    d 20

    .

    Coun

    t for

    ward

    s and

    bac

    kwar

    ds in

    : •

    1s fr

    om an

    y num

    ber b

    etwee

    n 0 an

    d 150

    10s f

    rom

    any m

    ultipl

    e of 1

    0 be

    twee

    n 0

    and 1

    50

    5s fr

    om an

    y mult

    iple o

    f 5 b

    etwee

    n 0 an

    d 15

    0 •

    2s fr

    om an

    y mult

    iple o

    f 2 be

    twee

    n 0 an

    d 15

    0 •

    3s fr

    om an

    y mult

    iple o

    f 3 be

    twee

    n 0 an

    d 99

    4s fr

    om an

    y mult

    iple 4

    betw

    een 0

    and 1

    00.

    Coun

    t for

    ward

    s and

    bac

    kwar

    ds in

    : •

    1s, fr

    om an

    y num

    ber

    betw

    een 0

    and

    500

    10s f

    rom

    any m

    ultipl

    e of 1

    0 betw

    een 0

    and 5

    00

    5s fr

    om an

    y mult

    iple o

    f 5 be

    twee

    n 0 an

    d 500

    2s fr

    om an

    y mult

    iple o

    f 2 be

    twee

    n 0 an

    d 500

    3s fr

    om an

    y mult

    iple o

    f 3 be

    twee

    n 0 an

    d 500

    4s fr

    om an

    y mult

    iple o

    f 0 an

    d 500

    50s,

    100s

    to at

    leas

    t 1 00

    0.

    NUMB

    ER C

    ONCE

    PT D

    EVEL

    OPME

    NT: R

    epre

    sent

    who

    le nu

    mbe

    rs

    Re

    cogn

    ise, id

    entif

    y and

    read

    num

    bers

    Id

    entif

    y, re

    cogn

    ise an

    d re

    ad n

    umbe

    rs

    Iden

    tify,

    reco

    gnise

    and

    read

    num

    bers

  • 22 MULTIGRADE TOOLKIT MATHEMATICS FOUNDATION PHASE

    1.3

    Num

    ber

    sym

    bols

    and

    num

    ber

    nam

    es

    Reco

    gnise

    , iden

    tify an

    d rea

    d num

    ber

    symb

    ols 1

    to 50

    . •

    Write

    numb

    er sy

    mbols

    1 to1

    0. •

    Reco

    gnise

    , iden

    tify an

    d rea

    d num

    ber

    name

    s 1 to

    10.

    Write

    numb

    er na

    mes 1

    to 10

    .

    Identi

    fy, re

    cogn

    ise an

    d rea

    d num

    ber

    symb

    ols 0

    to 15

    0. •

    Write

    numb

    er sy

    mbols

    0 to1

    50.

    Identi

    fy, re

    cogn

    ise an

    d rea

    ds nu

    mber

    na

    mes 0

    to 50

    . •

    Write

    numb

    er na

    mes 0

    to 50

    .

    • Ide

    ntify,

    reco

    gnise

    and r

    ead n

    umbe

    r sym

    bols

    0 to

    1 000

    .

    • W

    rite nu

    mber

    symb

    ols 0

    to100

    0. •

    Identi

    fy, re

    cogn

    ise an

    d rea

    d num

    ber n

    ames

    0 to

    250.

    • W

    rite nu

    mber

    name

    s 0 to

    250.

    1.4

    Desc

    ribe,

    com

    pare

    an

    d or

    der

    num

    bers

    Desc

    ribe,

    com

    pare

    and

    orde

    r up

    to 10

    ob

    jects

    Comp

    are c

    ollec

    tion o

    f obje

    cts ac

    cord

    ing

    to ma

    ny, fe

    w; m

    ost, l

    east;

    mor

    e tha

    n, les

    s tha

    n; the

    same

    as, ju

    st as

    man

    y as,

    differ

    ent.

    Orde

    r coll

    ectio

    n of o

    bjects

    from

    mos

    t to

    least

    and l

    east

    to mo

    st.

    Desc

    ribe,

    com

    pare

    and

    orde

    r num

    bers

    to 10

    Desc

    ribe a

    nd co

    mpar

    e who

    le nu

    mber

    s ac

    cord

    ing to

    small

    er th

    an, g

    reate

    r tha

    n, mo

    re th

    an, “

    less t

    han,

    is eq

    ual to

    . •

    Desc

    ribe a

    nd or

    der n

    umbe

    rs:

    - from

    small

    est to

    grea

    test a

    nd g

    reate

    st to

    small

    est

    - befo

    re, a

    fter,

    in the

    midd

    le/ be

    twee

    n - U

    sing t

    he nu

    mber

    line 0

    – 10

    .

    Desc

    ribe,

    com

    pare

    and

    orde

    r num

    bers

    to 50

    Comp

    are w

    hole

    small

    er th

    an, g

    reate

    r tha

    n, mo

    re th

    an, le

    ss th

    an an

    d is e

    qual

    to.

    Orde

    r who

    le nu

    mber

    s fro

    m sm

    alles

    t to

    grea

    test, a

    nd gr

    eates

    t to sm

    alles

    t.

    Desc

    ribe,

    com

    pare

    and

    orde

    r num

    bers

    to 50

    0 •

    Comp

    are w

    hole

    numb

    ers u

    p to 5

    00 us

    ing sm

    aller

    tha

    n, gr

    eater

    than

    , mor

    e tha

    n, les

    s tha

    n and

    is

    equa

    l to.

    Ord

    er w

    hole

    numb

    ers

    up to

    500 f

    rom

    sm

    alles

    t to gr

    eates

    t, and

    grea

    test to

    S

    malle

    st.

    1.5

    Plac

    e Valu

    e

    Re

    cogn

    ise p

    lace v

    alue o

    f num

    bers

    11 to

    50

    Deco

    mpos

    e two

    -digi

    t num

    bers

    into

    multip

    les of

    tens

    and u

    nits/o

    nes.

    Reco

    gnise

    the p

    lace v

    alue o

    f num

    bers

    to 50

    0 •

    Know

    wha

    t eac

    h digi

    t rep

    rese

    nts.

    Deco

    mpos

    e two

    -digi

    t num

    bers

    up to

    500 i

    nto

  • 23 MULTIGRADE TOOLKIT MATHEMATICS FOUNDATION PHASE

    Identi

    fy an

    d stat

    e the

    value

    of ea

    ch di

    git.

    multip

    les of

    tens

    and o

    nes/

    units

    . •

    Identi

    fy an

    d stat

    e the

    value

    of ea

    ch di

    git.

    1.6

    Prob

    lem so

    lving

    te

    chni

    ques

    Use t

    he fo

    llowi

    ng te

    chniq

    ues w

    hen s

    olving

    pr

    oblem

    s and

    expla

    in ow

    n solu

    tions

    to

    prob

    lems:

    Co

    ncre

    te ap

    para

    tus e.

    g. co

    unter

    s

    Pictu

    res t

    o dra

    w the

    stor

    y sum

    .

    Bu

    ilding

    up an

    d bre

    aking

    down

    nu

    mber

    s.

    Doub

    ling a

    nd ha

    lving

    Numb

    er lin

    es su

    ppor

    ted by

    conc

    rete

    appa

    ratus

    e.g.

    coun

    ting b

    eads

    .

    Use t

    he fo

    llowi

    ng te

    chniq

    ues w

    hen s

    olving

    pr

    oblem

    s and

    expla

    in ow

    n solu

    tions

    to

    prob

    lems:

    dr

    awing

    s or c

    oncre

    te ap

    para

    tus e.

    g. co

    unter

    s

    Bu

    ilding

    up an

    d bre

    aking

    down

    of

    numb

    ers.

    Do

    ublin

    g and

    halvi

    ng

    Nu

    mber

    lines

    supp

    orted

    by co

    ncre

    te ap

    para

    tus.

    Use t

    he fo

    llowi

    ng te

    chniq

    ues w

    hen s

    olving

    prob

    lems

    and e

    xplai

    n ow

    n solu

    tions

    to pr

    oblem

    s:

    Build

    ing up

    and b

    reak

    ing do

    wn of

    numb

    ers.

    Do

    ublin

    g and

    halvi

    ng

    Nu

    mber

    lines

    Roun

    ding-

    off in

    tens

    1.7

    Addi

    tion

    and

    subt

    ract

    ion

    Solve

    wor

    d pro

    blems

    in co

    ntext

    and e

    xplai

    n ow

    n solu

    tion t

    o pro

    blems

    invo

    lving

    addit

    ion an

    d su

    btrac

    tion w

    ith an

    swer

    s up

    to 10

    Solve

    wor

    d pro

    blems

    in co

    ntext

    and e

    xplai

    n ow

    n solu

    tion t

    o pro

    blems

    invo

    lving

    addit

    ion an

    d su

    btrac

    tion w

    ith an

    swer

    s up

    to 50

    Solve

    wor

    d pro

    blems

    in co

    ntext

    and e

    xplai

    n own

    so

    lution

    to pr

    oblem

    s inv

    olving

    addit

    ion an

    d su

    btrac

    tion w

    ith an

    swer

    s up

    to 40

    0

    1.8

    Repe

    ated

    addi

    tion

    Solve

    wor

    d pro

    blems

    in co

    ntext

    and e

    xplai

    n ow

    n solu

    tion t

    o pro

    blems

    invo

    lving

    repe

    ated

    addit

    ion w

    ith an

    swer

    s up t

    o 10.

    Solve

    wor

    d pro

    blems

    in co

    ntext

    and e

    xplai

    n ow

    n solu

    tion t

    o pro

    blems

    invo

    lving

    repe

    ated

    addit

    ion an

    d mult

    iplica

    tion w

    ith an

    swer

    s up t

    o 30

    .

    Solve

    numb

    er pr

    oblem

    s in c

    ontex

    t and

    expla

    in ow

    n so

    lution

    to pr

    oblem

    s inv

    olving

    lead

    ing to

    mult

    iplica

    tion

    with

    answ

    ers u

    p to 7

    5.

    1.9

    Grou

    ping

    and

    shar

    ing

    leadi

    ng to

    divi

    sion

    Solve

    wor

    d pro

    blems

    in co

    ntext

    and e

    xplai

    n ow

    n solu

    tion t

    o pro

    blems

    invo

    lving

    equa

    l sh

    aring

    and g

    roup

    ing w

    ith w

    hole

    numb

    ers u

    p to

    10 an

    d with

    answ

    ers t

    hat m

    ay in

    clude

    re

    maind

    ers.

    Solve

    wor

    d pro

    blems

    in co

    ntext

    and e

    xplai

    n ow

    n solu

    tion t

    o pro

    blems

    that

    involv

    e equ

    al sh

    aring

    and g

    roup

    ing up

    to 30

    with

    answ

    ers t

    hat

    may i

    nclud

    e rem

    ainde

    rs.

    Solve

    numb

    er pr

    oblem

    s in c

    ontex

    t and

    expla

    in ow

    n so

    lution

    to pr

    oblem

    s tha

    t invo

    lve eq

    ual s

    harin

    g and

    gr

    oupin

    g up t

    o 75 w

    ith an

    swer

    s tha

    t may

    inclu

    de

    rema

    inder

    s.

    1.10

    Shar

    ing

    leadi

    ng to

    fra

    ctio

    ns

    So

    lve w

    ord p

    roble

    ms in

    conte

    xt an

    d exp

    lain

    own s

    olutio

    ns to

    prob

    lems t

    hat in

    volve

    equa

    l sh

    aring

    lead

    ing to

    solut

    ions t

    hat in

    clude

    unita

    ry fra

    ction

    s e.g.

    half,

    quar

    ter, th

    ird an

    d fifth

    etc.

    1.10 F

    ract

    ions

    So

    lve an

    d exp

    lain s

    olutio

    ns to