ICSE Class 8 Maths, Unit 1: Number System
From the CISCE curriculum. 11 key concepts, about 5 days of study at 20 to 30 minutes a day.
What this unit aims at
Rational numbers as extension of integers to make the system closed for division (by non-zero numbers) was introduced in class VII. In this class children will be enabled to explore the properties of rational numbers to find inadequacy in them and to realize the need for new numbers like irrational numbers. Children should also get the feel of another very interesting and important property of rational numbers i.e. between any two rational number there lie many infinite rational numbers. Number line and representation of rational numbers on number line forms the basis for visualizing that for every rational number there is a point on the number line but its converse is not true. Number operations are also extended to exponents. This understanding leads to classify positive integers into various classes like square and cube numbers. Children should also understand and develop the ability
Your child should be able to
- describe properties of rational numbers and express them in general form
- consolidate operations on rational numbers
- represent rational numbers on the number line
- understand that between any two rational numbers there lies another rational number (making children see that if we take two rational numbers then unlike for whole numbers, in this case you can keep finding more and more numbers that lie between them.)
- generalise and verify properties of rational numbers. (including identities)
- use general form of expression to describe properties of operations on rational numbers like closer, commutative, associative, existence of identity and existence of inverse
- do word problem (higher logic, two operations, including ideas like area)
- write repeated multiplication and division using integers as exponents
- describe and verify laws of exponents with integral powers
- find squares, square roots, cubes, cube roots of number
Key concepts in this unit
- Rational Numbers Properties of rational numbers. (including identities). Using general form of expression to describe properties
- Representation of rational numbers on the number line
- Between any two rational numbers there lies another rational number
- Word problem Exponents Powers
- Laws of exponents with integral powers
- Square and Square roots using factor method and division method for numbers containing (a) no more than total 4 digits and (b) no more than 2 decimal places
- Cubes and cubes roots (only factor method for numbers containing at most 3 digits)
- Playing with numbers Writing and understanding a 2 and 3 digit number in generalized form (100a + 10b + c , where a, b, c can be only digit 0-9) and engaging with various puzzles Children to solve an…
- Deducing the divisibility test rules of 2, 3, 5, 9, 10 for a two or three-digit number expressed in the general form.
- Sets Union and intersection of sets
- Disjoint set Complement of a set
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.