icse foundation mathematics class 7 rs aggarwal

ICSE Foundation Mathematics for Class 7 by RS Aggarwal

Chapter Wise Answers for Exercise Problems (Download PDF)

ICSE Foundation Mathematics Syllabus

Teaching Points

Teaching Notes

Set Concepts

Review of work done in class VI – Idea of Notation, Equal Sets, Equivalent sets, the empty set, the universal set, cardinal property of a set, finite and infinite sets. Union and Intersection of Sets, Disjoint Sets, Overlapping Sets, Complement Set, Venn Diagrams.

Examples should be drawn for the number systems with which the pupil is familiar and from real life situations; Operations on sets should be confined to the universal set and one or two its subsets two disjoint or two overlapping sets.

Numbers

Review of Work done in Class VI. Natural Numbers, Whole Numbers, the four fundamental Operations, factors,repeated factors, exponents, prime satisfactions, properties of exponents; H.C.F or G.C.D.; multiples, even and odd numbers, L.C.M.; perfect square natural numbers and their square roots.

Integers : the four fundamental operations.

Fractions: Classification and comparison of fractions; the four fundamental operations with fractions; simplification percentages; ratio.

Decimals: the four fundamental operations.; recurring decimals; approximation(rounding off).; Powers and roots – elementary treatment, based on the multiplication tables and drilling in the most frequently used powers and roots.

Arithmetic Problems

Unitary method, speed, time and distance, simple problems

Ratio, sharing in a ratio

profit and loss

simple interest

Average (direct problems to be emphasized).

Algebra

Fundamental Concepts

Review of Work done in Class VI.

Concepts of degrees and coefficients; like and unlike terms; polynomials with rational coefficients.

Addition, Subtraction and Multiplication of a Polynomial by a monomial, binomial; division of a polynomial, in one variable only by a monomial and binomial in one variable only. Using this Rule; Dividend = (Divider*Quotient) + Remainder to check the result of a division.

Formula

Translation from words to symbols (construction of a formula) and from symbols to words. Use of Formulae in Real life situations as in simple interest, mensuration, geometry, physics etc. Changing the subject of formula (simple cases only, e.g. not involving solution of quadratic equations or factorization other than the common factor). Substitution in a formula, substitution in an Expression in which the Variables are only up to power 2.

Exponents

Integral Exponents only, Proofs are not required. Special Products as identities

Factors

Factors of –

(a) Polynomials with a common monomial (b) difference of two squares

Simplification

Simplification, addition and Subtraction of algebraic expressions with integral denominators

Relations and Mapping

To be done through Arrow diagrams leading to listing of the matching pairs, Classification of functions not included

Equations and inequations

A Mathematical sentence; an open mathematical sentence in one variable. Simple equation and Graphical representation of the Solutions. problems leading to simple equations. simple inequations in one variable and graphical representation of the solution

Graphs

terms; rectangular coordinates, ordered pairs, abscissa and ordinate; plotting. Representing a Linear Equation in Two Variables, graphically.

icse foundation mathematics class 7 rs aggarwal

ICSE Foundation Mathematics for Class 7 by RS Aggarwal

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