Calculation Techniques in Numbers

7MATHEMATICS+3-58=NUMBER AND OPERATION

hy it isWimportant?

Analysis UPSR Mathematics Paper Topic

Whole NumberOpr. + - Mixed OperationFractionsDecimalMoneyTimeLengthMassVolume of LiquidShape & SpaceAveragePercentageData HandlingTotal

The number of questions according to year.2000

Paper

1 2 2 3 1 1 1 1 5 3 3 2 6 1 2 2 3 2 1 1 2 - 6 2 2 1 3 1 3 -40 20

2001

Paper

1 2 2 2 1 2 2 1 5 2 5 2 5 1 2 3 1 1 1 1 2 1 6 2 2 1 3 1 3 -40 20

2002

Paper

1 2 2 2 2 3 3 2 3 2 4 2 4 1 3 1 3 1 3 1 2 1 4 2 2 1 3 1 2 -40 20

2003

Paper

1 2 3 2 1 2 3 1 3 4 2 1 1 2 4 1 4 1 4 2 3 1 5 2 - 1 3 - 4 -40 20

2004

Paper

1 2 1 2 2 1 2 2 4 2 3 1 5 3 4 1 4 - 2 2 3 1 4 2 2 1 2 2 2 -40 20

2005

Paper

1 2 2 1 2 - 3 1 3 3 3 1 5 2 3 2 3 - 3 3 3 1 4 3 1 1 2 2 3 -40 20

2006

Paper

1 2 1 1 3 - 1 2 4 2 3 1 4 1 3 2 1 1 2 2 4 - 5 3 2 2 4 3 3 -40 20

One million two hundred thirty-four thousand five hundred and sixty-seven.1. Read numbersNUMBER

2. Write numbersNUMBERb) In numeralExample :Five million eleven thousand and seventy.

3. Value of NumberNUMBER

Partition the number4. PARTITIONExample :3 094 2573 000 000 + 90 000 + 4000 + 200 + 50 + 7

7 + 50 + 200 + 4000 + 90 000 + 3 000 000

4000 + 7 + 3 000 000 + 50 + 200 + 90 000

3 millions + 9 ten thousands + 4 thousands + 2 hundreds + 5 tens + 7 ones Write the number in extended notationNUMBER

5. Form the NumberThe smallest number452093If there is the zero digit, put it after the first bigger numberthan Zero.NUMBER

6. Arrange the NumberNUMBER

7. Same ValueNUMBER

8. Compare the Number 35 965 and 35 659Example :NUMBER

NUMBER

Round off to the nearest hundreds 4 5 7 0 07 1 4 5 7 2 8 7 3 7 4 7 5 7 6 7 7 7 8 7 9 4 5 8 0 0NUMBER

Round off to the nearest ten thousands 1 3 5 0 0 0 05 1 5 2 5 3 5 4 5 5 5 6 1 3 5 7 4 9 25 8 5 9 1 3 6 0 0 0 0NUMBER

4+9-27=Lets have fun with the number!

BASIC FACT - ADDITIONADDITION

315+ 12ADDITION83 64+ 79

16+ 211012+ 07

41213642130811 106931803391ADDITION1512201705211018

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11+ 12 + 13 + 14 + 15 + 16 + 17 + 18 + 19 + 20 =210 Find the Pairs of TenADDITION

2 356 709647 935768 1711 452 355+ 84 953

3222130313325ADDITIONFind the Pairs of Ten

CUTTING SYSTEM432111313312ADDITION0331835771811511

GIMMICK NUMBERDo you want to know how to SUBTRACT FASTER?Lets do it together

Cutting SystemOrdinary way162611875648311010102310101024

Pairs of TenOrdinary way10022SUBTRACTION614148260823

Less 110 - 1 = 9100 - 1 = 991000 - 1 = 9991000 1 678 - 1 2SUBTRACTION999 - 67723

Ordinary way27 642 12 327 42808 12 9374 52035 15 45 MULTIPLICATION+ 2618 0 3 10 7 8 6 4

9374 512468 4123456 7

MULTIPLICATION20 35 15 45 7 8 6 4 32 24 16 08 04 0 2 7 8 9 4 42 35 28 21 14 07 2 9 1 4 6 8

2D 2D3282 88 721636 34 122457 53 3021MULTIPLICATION4256242305

LATTICEMULTIPLICATION281644242403112D 2D

LATTICEMULTIPLICATION3D 2D2438121

BASIC FACT MULTIPLICATIONIntroduce that:2a b = b aExample :2 3 = 3 24 5 = 5 4? 0 = 0? 1 = the number itselfMULTIPLICATION

Train pupils to do Skip Counting3Introduce the Repeated Addition42, 4, 6, 8, .4, 8, 12, 16, ..7, 14, 21, 28, 2 + 2 + 2 + 23 + 3 + 3 + 3 and etc.Introduce the MultipurposeMultiplication Table*MULTIPLICATION

MMT (Multipurpose Multiplication Table)MULTIPLICATION

1234567892468101214161836912151821242748121620242832365101520253035404561218243036424854714212835424956638162432404856647291827364554637281

Train pupils with number patterns5Times 6, 7, 8 DIFFICULT ?Use multiplication table that pupils know.60, 4, 8, __, 16, __, 24, 28, __, __, 40, 44, ..

Example : 8 7( 8 5) + ( 8 2 )MULTIPLICATION40 + 16 = 56

FINGER MULTIPLICATION TIMES 9Example: 4 x 9 =Bend the fourth finger on your left hand. So, the three fingers on the left from the bent finger and the six fingers on the right give the answer, that is 36.

LETS TRY: 7x9 6x9 3x9 2x9 8x9 5x9

2D X 9Multiplication of two digits number to number 9 can be done with fingers, BUT the value of tens digit must less than ones digit.HOW ?

The value of tens digit must be less than ones digitExample:=9++324

The value of tens digit equals to ones digitExample:=1 8++69377 9 = +=9

The value of tens digit is more than ones digitExample:=1 8++65773 9 = +=9

Multiplication Finger for multiplication table 6, 7, 8, 9.ASSUME THAT: Little finger = 6 Ring finger = 7 Middle finger= 8 Pointer finger= 9

HOW ?

ARITHMATICS WAY

15

+10

115

ARITHMATICS WAY

49

35

42

+28

32599

ARITHMATICS WAY

36

16

27

+12

1666

ARITHMATICS WAY

36

48

18

06

08

+03

6176

Can you remember ..?

Teachers. No problem

PUPILS ?

Can we find the product, if we only know timestable 2?example: 8 x 7 @ 23 x 8 @ 19 x 23 @ 120 x 24

RUSSIAN MULTIPLICATION

DIVISION12 39- 36- 33- 304 DIVISION4

2D 1D3D 1D1117 21- 714 - 77- 702907 644-63014-140DIVISION

Division of 2D

24 4397 - 24 199 - 192 77- 725

24DIVISION224681012141618448121620242832362424487296120144168192216

1234567891 8 3

OBJECTIVE QUESTIONDIVISION

S A M D O B REMEMBER!BASIC RULES The solution must follow the basic counting/sequence.ofDivide

Muptiply

Add+

Subtract-1234COUNTING34Is a familyIs another familySolution: Must follow the rules.MIXED OPERATIONBracket( )

Question:How to arrange the below symbols to form the correct mathematics sentence?

Answer3 3 3 3 + - x= 103333+_x

Fun & Easy

FUNCONVERTQuestion : Convert 8.03km to m / 8.03km = ________m

FUNCONVERTQuestion : Convert 8.03km to m / 8.03km = ________m

FUNCONVERT8030m8.030km8km 030mQuestion : Convert 8.03km to m / 8.03km = ________m0

ADDITION1+FUN7056g7.056kg7kg 56g

KmKgmgm242546317056

101-SUBTRACTIONFUN2083m2.083km2km 83m

KmKgmgm721951362083

FUNDecimal point

475cm4m 75cm4.75m

RM4.75475sen4.75m

PPK KPM

PPK KPM

SEE YOU NEXT TIMEInsyaallah ,Thank YouTerima KasihSyukran