of 20
8/13/2019 Maths Booklet-Lower Years
1/20
8/13/2019 Maths Booklet-Lower Years
2/20
2
UsingBasic Facts
21 2 > 22
: 6 > 2525 7 > 31
RememberingBasicNumberFactshelpsustoworkwithnumbersquickerandwithease.Differentpeoplerememberdifferentnumber
facts.Howmanynumberfactscanyouremember?
61 31 > 29 3 > 31
39 29 > 21
21 2 > 22
41 81 > 21121 21 > 31
26 26 > 41
3 3 > 5
3 y 4 > 7
6 y 5 > 314 4 > 7
41 26 > 26
36 . 36 > 1
61 . 41 > 31
3 y 3 > 5 23 . 3 > 21
8/13/2019 Maths Booklet-Lower Years
3/20
8/13/2019 Maths Booklet-Lower Years
4/20
4
Counting On
Countonbyonesfromthebiggestnumbertocalculateanadditionnumbersentence.Countonby
onesfromthebiggestnumbertocalculateanadditionnumbersentence.
26 : > 3526 27 28 29 2: 31 32 33 34 35
9 6 > 49 : 21 22 23 24
31 9 > 3931 32 33 34 35 36 37 38 39
28 8 > 3528 29 2: 31 32 33 34 35
Remembertolockthebiggestnumberinyourheadandthencarefullycountalongthenumberlineand
stopatthesecondnumber.26 7
26 27 28 29 2: 31 32
Keepthefirstnumberinyour
memoryCountalongthenumberline6spacesandthen
stop
8/13/2019 Maths Booklet-Lower Years
5/20
5
Counting BackCountbackbyonesfromthebiggestnumberto
calculateasubtractionnumbersentence.34 9 > 634 33 32 31 2: 29 28 27 26
41 7 > 3541 3: 39 38 37 36 35
39 23 > 2739 38 37 36 35 34 33 32 31 2: 29 28 27
32 23 > :32 31 2: 29 28 27 26 25 24 23 22 21 :
Remembertolockthebiggestnumberinyourheadandthencarefullycountbackalongthenumberline
andstopatthesecondnumber.24 . 7
24 23 22 21 : 9 8
Keepthefirst
numberinyour
memory
Countbackalong
thenumberline6
spacesandthen
stop
8/13/2019 Maths Booklet-Lower Years
6/20
8/13/2019 Maths Booklet-Lower Years
7/20
7
- Subtraction -Grouping of place value
Separatenumbersintohundreds,tensandonesandthencalculatetheanswer.
36 23 > @ 3121> 21 21 4> 246. 3 > 431 6 213
:7 . 54 > @ :151> 61 61 4> 647. 4 > 4:1 7 514
348 223 > @ 311211>211 211316> 23641. 21>31311418211213 8. 3> 6
8/13/2019 Maths Booklet-Lower Years
8/20
8/13/2019 Maths Booklet-Lower Years
9/20
9
DoublingWhenyoudoubleanumberyouaddittoitself.
Epvcmjoh 2 2 2 > 3 Epvcmjoh 3 3 3 > 5Epvcmjoh 4 4 4 > 7 Epvcmjoh 5 5 5 > 9Epvcmjoh 6 6 6 > 21 Epvcmjoh 7 7 7 > 23Epvcmjoh 8 8 8 > 25 Epvcmjoh 9 9 9 > 27Epvcmjoh : : : > 29 Epvcmjoh 21 21 21 > 31Epvcmjoh 22 22 22 > 33 Epvcmjoh 23 23 23 > 35
HalvingWhenyouhalveanumberyoubreakitinto
2equalparts.Ibmg pg 3 > 2 Ibmg pg 5 > 3Ibmg pg 7 > 4 Ibmg pg 9 > 5Ibmg pg 21 > 6 Ibmg pg 23 > 7Ibmg pg 25 > 8 Ibmg pg 27 > 9Ibmg pg 29 > : Ibmg pg 31 > 21
Knowingthedoublesofnumbershelpsyoutohalvethemaswell.DoublingandHalvinghelpsustocalculatemathsproblemsmorequicklybyusingdifferentmentalmathsstrategiesliketenframes
andbridging
8/13/2019 Maths Booklet-Lower Years
10/20
10
Use Counting On to Solve
SubtractionWecansolvesubtractionnumbersentencesbyCountingOninsteadofcountingback.SometimesCountingOn
makesiteasiertosolveasubtractionproblem.28 . 25 > 4
Jotufbe pg Dpvoujoh Cbdl28 27 26 25 24 23 22 21 : 9 8 7 6 5 4ju jt fbtjfs boe rvjdlfs up Dpvou Po
Tubsu bu 25 boe tupq bu 2825 26 27 2836 . 27 > :
Jotufbe pg Dpvoujoh Cbdl36 35 34 33 32 31 2: 29 28 27 26 25 24 23 22 21 :Ju jt fbtjfs boe rvjdlfs up Dpvou Po
Tubsu bu 27 boe tupq bu 3627 28 29 2: 31 32 33 34 35 36
4: . 34 > 27Jotufbe pg Dpvoujoh Cbdl
4: 49 48 47 46 45 44 43 42 41 3: 39 38 37 36 35 3433 32 31 2: 29 28 27Ju jt fbtjfs boe rvjdlfs up Dpvou Po
Tubsu bu 34 boe tupq bu 4:34 35 36 37 38 39 3: 41 42 43 44 45 46 47 48 49 4:
8/13/2019 Maths Booklet-Lower Years
11/20
11
Number LinesWithNumberlines,wecanmakejumps
tosolve
number
problems.
1 2 3 4 5 6 78 9 : 21 22 23
51 52 5354 55 56 57 58 59 5: 61
WecanuseNumberLineswithothermathsstrategiessuch
as
tenframes
)4*34 46 > jt uif tbnf bt 31, 49Givethe3from23tothe35tomake38andthenimaginea
numberlinebyaddingonthe20.21 21
49 59 69)4*57 24 > jt uif tbnf bt 5: 21
Givethe3from13to46tomake49andthenimagineanumberlinebyaddingonthe10
21
5: 6:
237> 7Usingthenumberlinewecanstartat12andjumpback6numbers
togiveusananswerof6
619> 53Wecanalsojumpby
biggernumberstomakeitquickertofindthe
answer
6
8/13/2019 Maths Booklet-Lower Years
12/20
12
Friends of Ten
FriendsofTenworktogethertomakemathsproblems
easier.Recognitionofnumbercombinationstoten
mustbeautomatic.6 6 > 21 8 4 > 21 9 3 > 21 : 2 > 21 5 7 > 212: 2 > 31 24 8 > 31 23 9 > 31 22 : > 31 26 6 >3136 36 > 61 46 26 > 61 56 6 > 61 31 41 > 61
Bridging
Whenbridgingnumbersyouaddorsubtractfromthe
numbers
in
aproblem
to
make
it
easier
to
solve.
Bridgingtomultiplesof10helpstomakemaths
problemseasiertosolve.
25 29 >23 , )29 , 3* > 23 , 31 > 43
48 66>)4 , 48* , 63 > 51 , 63 > :3
Bridgeto20Take2from14andgive
it to 18
Bridgeto40Take3from55andgive
itto37
8/13/2019 Maths Booklet-Lower Years
13/20
13
x Multiplication x(Grouping)
4 y 5 > 23Thismeans3groupswithfouritemsineachgroup.
5 y 6 > 31Four
groups
with
5
itemsineachgroup.
8 y 7 > 53Sevengroupswithsix
itemsin
each
group.
Thisisalwaysdonewithconcretematerialssuchascounters,
pegs,blocks,toysordrawings.
8/13/2019 Maths Booklet-Lower Years
14/20
8/13/2019 Maths Booklet-Lower Years
15/20
15
Number Families
Knowingtherelationshipbetweenadditionand
subtraction,division
and
multiplication,
helps
us
to
work
withnumberswhenwesolvenumberstoriesand
numbersentences.
Theseareoftencalledturnaroundfacts24 , 8 > 31 8 , 24 > 31 31
8 > 24 31
24 > 86 y 4 > 26 4 y 6 > 26 26 4 > 6 26 6 > 4
NumberFamilieshelpustosolvehiddennumberproblems
39 . > 5 jt uif tbnf bt 39 5 >67 > 232 jt uif tbnf bt 232 67 > 2: > 6 jt uif tbnf bt 2: 6 >: y > 74 jt uif tbnf bt 74 : > 6 > 5 jt uif tbnf bt 5 y 6 >
Wecan
work
out
hidden
numbers
by
using
the
relationships
betweennumberoperations(+ x).
8/13/2019 Maths Booklet-Lower Years
16/20
16
65ismadeupofdifferentparts
Combination of NumbersNumbersaremadeupofpartstomakeawhole.Knowingthe
differentpartsofnumbershelpsustouseothermental
mathsstrategies
like
Place
Value,
Bridging
and
Number
Families.Itishelpfultoknowthecombinationsfornumbers
5,10,20,50and100.
2110ismadeupofdifferentparts
: 2 > 21
4 8 > 213 >21
5 7 > 218 4 > 21
7 5 > 21 6 6 > 21
5 2 > 6
4 3 > 6 3 4 > 6
2 5 > 6
8/13/2019 Maths Booklet-Lower Years
17/20
17
Solving Number StorieReadthenumberstorycarefully.Highlighttheimportant
Writeout
the
number
sentence
using
the
highlighted
wo
NumberStory NumberSentMissMurrayhadsomefishinherfishtank.She
wentshoppingandbought7morefishandnowshehas18.HowmanyfishdidMissMurrayhaveto
beginwith?
8> 29MissLeehad17pencils.Shegavesomepencilsout
tothechildrenandnowsheonlyhas12left.How
manypencilsdidMissLeegiveouttothechildren?28. > 23
Samboughtsomelolliesfromshop.Shehad3bags
with4lolliesineachbag.HowmanylolliesdidSam
havealltogether?4y 5 >
MrsJoneshad12glitterpens.Shedecidedtosharethembetween3students.Howmanypensdideachstudentget? 23 4>
22
6
23
5
8/13/2019 Maths Booklet-Lower Years
18/20
8/13/2019 Maths Booklet-Lower Years
19/20
19
GLOSSARYOther words for:
Addition plus Eg: 3 plus 2 equals 5
+ add on 3 add on 2 equals 5count on 3 count on 2 equals 5and 3 and 2 equals 5sum of The sum of 3 and 2 is 5
Subtraction take away Eg: 8 take away 5 equals 3
- minus 8 minus 5 equals 3subtract 8 subtract 5 equals 3less than 5 less than 8 is 3difference between The difference between
8 and 5 is 3
Multiplication lots of Eg: 3 lots of 5 equals 15
groups of 3 groups of 5 equals 15times 3 times 5 equals 15multiplied by 3 multiplied by 5 is 15product of The product of 3 and 5
is 15
Division quotient of Eg:The quotient of 15 and 5
is 3
divided by 15 divided by 5 is 3 is 5shared equally 15 shared equallybetween 3 is 5
how many groups of How many groups of 5 in15 ? Answer 3
8/13/2019 Maths Booklet-Lower Years
20/20
Notes
