## ICSE Foundation Mathematics for Class 7 by RS Aggarwal

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.