ICSE Foundation Mathematics for Class 7 by RS Aggarwal
Contents:
Chapter 1: Sets(Download PDF)
Chapter 2: Venn Diagrams(Download PDF)
Chapter 3: Number System(Download PDF)
Chapter 4: Fractions(Download PDF)
Chapter 5: Decimals(Download PDF)
Chapter 6: Factors and Multiples(Download PDF)
Chapter 7 Powers and Roots(Download PDF)
Chapter 8: Percentage(Download PDF)
Chapter 9: Profit, Loss and Discount(Download PDF)
Chapter 10: Ratio and Proportion(Download PDF)
Chapter 11: Unitary method(Download PDF)
Chapter 12: Time and Work(Download PDF)
Chapter 13: Time and Distance(Download PDF)
Chapter 14: Average(Download PDF)
Chapter 15: Simple Interest(Download PDF)
Chapter 16: Algebraic Expressions(Download PDF)
Chapter 17: Formula(Download PDF)
Chapter 18: Exponents(Download PDF)
Chapter 19: Special Products as Identities(Download PDF)
Chapter 20: Factorization(Download PDF)
Chapter 21: Relations and Mapping(Download PDF)
Chapter 22: Linear Equations(Download PDF)
Chapter 23: Linear Inequations.(Download PDF)
Chapter 24: Graphs(Download PDF)
Chapter 25: Fundamental Geometrical Concepts(Download PDF)
Chapter 26: Lines and Angles(Download PDF)
Chapter 27: Basic Constructions(Download PDF)
Chapter 28: Triangles(Download PDF)
Chapter 29: Congruency of Triangles
Chapter 30: Construction of Triangles(Download PDF)
Chapter 31: Polygons(Download PDF)
Chapter 32: Quadrilaterals(Download PDF)
Chapter 33: circles
Chapter 34: Symmetry, Reflection and Rotation(Download PDF)
Chapter 35: Perimeter and Area(Download PDF)
Chapter 36: Volume and Surface Area of Solids.(Download PDF)
Chapter 37: Statistics(Download PDF)
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. 