CAMBRIDGE PRIMARY MATHEMATICS 0845 FRACTIONS and DECIMALS STAGE 4 (GRADE 3) • 4 Nn4 Use decimal notation and place value for tenths and hundredths in context , e.g. order amounts of money; convert a sum of money such as $ 13.25 to cents , or a length such as 125 cm to metres; round a sum of money to the nearest pound • 4 Nn5 Understand decimal notation for tenths and hundredths in context e.g. length • 4 Nn17 Order and compare two or more fractions with the same denominator (halves, quarters , thirds, fifths, eighths or tenths) • 4 Nn18 Recognise the equivalence between : 1 2 , 4 8 , and 5 10 , 1 4 and 2 8 , 1 5 and 2 10 • 4 Nn19 Use equivalence to help order fractions , e.g. 7 10 and 3 4 • 4 Nn20 Understand the equivalence between one-place decimals and fractions in tenths • 4 Nn21 Understand that 1 2 is equivalent to 0.5 and also to 5 10 • 4 Nn22 Recognise the equivalence between the decimal fraction and vulgar fraction forms of halves, quarters, tenths and hundredths • 4 Nn23 Recognise mixed numbers, e.g. 5 3 4 , and order these on a number line • 4 Nn24 Relate finding fractions to division • 4 Nn25 Find halves , quarters, thirds, fifths, eighths and tenths of shapes and numbers My sincere thanks to : Ms Preeti Kaushik,our art teacher for designing and editing this unit Ms Shruti Verma for maintaining the blog Mr Madan Saini for reviewing this unit Suresh Goel (Director) Alliance World School Noida , Delhi-NCR, India
16
Embed
FRACTIONS and DECIMALS€¦ · Fractions and Decimals P-1 • Decimal Notation for tenths : 1 Centimetre = 10 Millimetre ( 1 cm = 10 mm ) 0.1 is read as "zero point one" Thickness
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
CAMBRIDGE PRIMARY
MATHEMATICS 0845
FRACTIONS and DECIMALS
STAGE 4 (GRADE 3)
• 4 Nn4 Use decimal notation and place value for tenths and hundredths in context , e.g. order
amounts of money; convert a sum of money such as $ 13.25 to cents , or a length such as 125 cm to
metres; round a sum of money to the nearest pound
• 4 Nn5 Understand decimal notation for tenths and hundredths in context e.g. length
• 4 Nn17 Order and compare two or more fractions with the same denominator (halves, quarters ,
thirds, fifths, eighths or tenths)
• 4 Nn18 Recognise the equivalence between : 1
2,
4
8, and
5
10,
1
4 and
2
8 ,
1
5 and
2
10
• 4 Nn19 Use equivalence to help order fractions , e.g. 7
10and
3
4
• 4 Nn20 Understand the equivalence between one-place decimals and fractions in tenths
• 4 Nn21 Understand that 1
2 is equivalent to 0.5 and also to
5
10
• 4 Nn22 Recognise the equivalence between the decimal fraction and vulgar fraction forms of halves,
quarters, tenths and hundredths
• 4 Nn23 Recognise mixed numbers, e.g. 53
4 , and order these on a number line
• 4 Nn24 Relate finding fractions to division
• 4 Nn25 Find halves , quarters, thirds, fifths, eighths and tenths of shapes and numbers
My sincere thanks to :
Ms Preeti Kaushik,our art teacher for designing and editing this unit
Ms Shruti Verma for maintaining the blog
Mr Madan Saini for reviewing this unit
Suresh Goel
(Director)
Alliance World School
Noida , Delhi-NCR, India
Fractions and Decimals P-1
• Decimal Notation for tenths :
1 Centimetre = 10 Millimetre
( 1 cm = 10 mm )
Thickness of a Sharpener = 6 mm = 6
10 = 0.6 cm ( Zero point six cm)
Length of a paper clip 3 cm and 4 mm = 34
10 cm = 3.4 cm ( Three point four cm)
Length of pencil = 7 cm and 5 mm = 7 5
10 cm = 7.5 cm ( Seven point five cm)
4Nn5
Decimal Point
One tenth 𝟏
𝟏𝟎 = 0 . 1
0.1 is read as "zero point one"
1 cm = 10 mm
or 1mm = 𝟏
𝟏𝟎 cm
= 0.1 cm
1 millimetre 1 centimetre
10 millimetre
Fractions and Decimals P-2
Exercise - 1
a) Write the following measures in cm ( using decimal )
(i) 5mm
(ii) 26 mm = 20mm + 6 mm = 2 6
10 cm = 2.6 cm (done for you)
(iii) 7cm and 8 mm
(iv) 127 mm
b) Write the numbers in part (a) in the place value chart :
2 6
c) Write the following measures in mm.
(i) 2.5 cm
(ii) 0.7 cm
(iii) 20.4 cm
(iv) 13.5 cm
Place Value Chart
(ii)
(iii)
(iv)
(i)
(ii)
(iii)
(iv)
4Nn5
Fractions and Decimals P-3
• Decimal Notation for hundredths :
1 metre = 100 centimetre ( 1 m = 100 cm)
(a) Breadth of a pencil box = 8 cm = 8
100 m = 8 hundredths m = 0.08 m
(b) Length of a note book = 29 cm = 29
100 m = 29 hundredths m = 0.29 m
(c) Length of a ruler = 30cm = 30
100 m = 30 hundredths m = 0.30 m
(d) Length of class room = 3m 57cm = 357
100 m = 3. 57 m
Decimal Point
One hundredth 𝟏
𝟏𝟎𝟎 = 0 . 01
0.01 is read as "zero point zero one"
1 metre = 100 cm
1 cm = 1
100 m
= one hundredth m
1 cm = 0.01 m
0.1 = 0.10
or
1tenth = 10 hundredths
4Nn5
Fractions and Decimals P-4
Exercise - 2
(a) write the following measures in meters ( using decimal)
i. 7cm
ii. 28 cm = 28
100 m = 0.28 m (Done for you)
iii. 107cm = ( 100 + 7)𝑐𝑚 = 17
100 𝑚 = 1.07 𝑚 (Done for you)
iv. 543cm
v. 3 m 41 cm
vi. 37 cm
(b) Write the number in part (a) in the place value chart
i
ii 0 2 8
iii 1 0 7
iv
v
vi
(c) Write the following measures in cm :
i. 3.67 cm = 367
100 = 3m 67 cm = (300+ 67) cm = 367 cm (done for you)