ICSE Class 7 Maths, Unit 1: Number System
From the CISCE curriculum. 14 key concepts, about 7 days of study at 20 to 30 minutes a day.
What this unit aims at
In this theme the rules developed by children for addition and subtraction of integers will be extended to the formation of rules for their multiplication and division by using patterns and generalization. Another important type of number called rational number will also be introduced in this class. This exposure will develop children’s understanding about various kinds of numbers as a system and a structure. At this stage a relationship will also be established between fractions and rational numbers for which children will extend the rules used for performing operations on fractions to integers. This is also the time when children will be enabled to understand that fractions are not only representing part of a whole but also a number that operates on quantities. Extension of fractions and rational numbers is further done to decimal fractions. Once children understand that decimal notati
Your child should be able to
- multiply integers by using patterns and generalize the rules to multiply a positive integer by a negative integer, a negative integer by a positive integer and two negative integers
- divide integers by using patterns and forms rules to perform division in integers
- get a feel of necessity of rational numbers (through representation on number line)
- perform operations on rational numbers (addition, subtraction, multiplication and division)
- solve daily life problems involving rational numbers (all operations)
- observe patterns in multiplication tables and forms divisibility rules
- understand and use fraction as an operator
- find reciprocal of a fraction
- multiply fractions by using patterns/paper folding/pictures and form general rules
- divide fractions by using patterns/visualization/picture and forms rules
Key concepts in this unit
- Multiplication and division of integers
- Properties of operations on integers: Commutativity, associativity, existence of identity and inverse and distributivity
- Problem solving using operations on integers
- Solution of word problems involving integers (all operations)
- Introduction to rational numbers (with representation on number line)
- Word problems on rational numbers (all operations)
- Decimal representation of rational numbers
- Problem solving using operations on rational numbers and decimal fractions
- Fraction as an operator Reciprocal of a fraction Multiplication and division of decimal fractions
- Exponents only natural numbers.
- Laws of exponents (through observing patterns to arrive at generalisation.)
- Application of laws of exponents in simple daily life problems
- Revision idea of sets Equal, equivalent, universal sets
- Cardinal property of sets
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.
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.