Class 5 / Mathematics

ICSE Class 5 Maths, Unit 3: Fractions and Decimals

From the CISCE curriculum. 15 key concepts, about 7 days of study at 20 to 30 minutes a day.

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What this unit aims at

Children’s comprehension of whole numbers and common fractions forms the basis for their understanding of decimal fractions. Real-world examples of things separated into tenths and hundredths are less common than are examples of common fractions. A better understanding will be developed through metric sub units like Deci (one- tenth), centi (one-hundredth), milli (one-thousandth) etc. An understanding of decimal fractions and their relationship with common fractions develops gradually, thus the focus will be on work with physical material, diagrams and real life situations.

Your child should be able to

  • define proper, improper and mixed fractions
  • write equivalent fractions of given fraction by multiplying/dividing numerator and denominator
  • compare 3 or more fractions
  • add and subtract unlike fractions and mixed numbers
  • solve word problems on addition and subtraction of fractions
  • explain multiplication of fraction as ‘of’
  • multiply fractions- fraction by a whole number, fraction by fraction
  • relate fractions with denominator 10, 100, 1000 as decimal fraction
  • represent decimal fractions pictorially
  • find place value of decimal fractions as -tenths, hundredths, thousandths etc.; 6 7 expand decimal fractions e.g. 234.67=200 + 30 + 4 + + ; 10 100 classify decimal fractions as equivalent, like, and unlike

Key concepts in this unit

  • Comparison of 3 or more fractions.
  • Addition and subtraction of unlike fractions.
  • Addition and subtraction of mixed numbers.
  • Word problems on addition and subtraction of fractions.
  • Multiplication of fractions- fraction by whole numbers and fraction and fraction.
  • Division of fractions- whole number by a fraction, fraction by a fraction.
  • Relationship between fractions and Decimals fraction.
  • Pictorial representation of decimal fraction.
  • Place value of decimal fraction- tenths, hundredths, thousandths.
  • Expanded form: Decimal and fraction expansion Types of decimal fractions- equivalent, like, and unlike
  • Comparing decimal fractions.
  • Ordering of decimal fraction Addition and subtraction of decimal fraction.
  • Word problems on addition and subtraction of decimal fraction.
  • Multiplication of decimal fractions by 10, 100, 1000.
  • Multiplication of decimal number by whole number and decimal number by decimal number.

Teach this unit at home

  • A day-by-day plan from the CISCE concepts, so you know what to cover each day.
  • A step-by-step script for each day, so you know what to say and ask (AI-written from the CISCE curriculum, so check it against your child's school book).
  • A quiz at the end.
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From the CISCE Curriculum for Classes I to VIII (2016). CISCE sets what is taught, not the textbooks, so schools use different books and there are no page numbers here. Adhian Gurus is not affiliated with CISCE.

ICSE Class 5 Maths, Unit 3: Fractions and Decimals: key concepts and study plan | Adhian Gurus