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# Mathematics Class 7 ICSE CISCE Topics and Syllabus

Course

## Topics with syllabus and resources

100.00 Number System
101.00 Integers
• 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)
102.00 Rational Numbers
• Introduction to rational numbers (withrepresentation on numberline)
• Word problems onrational numbers (alloperations)
• Decimal representation of rational numbers
• Problem solving using operations on rational numbers and decimal fractions
103.00 Fractions (Including Problems)
• Fraction as an operator
• Reciprocal of a fraction
104.00 Decimal Fractions (Decimals)
• Multiplication and
division of decimal
fractions
105.00 Exponents (Including Laws of Exponents)
• Exponents only natural numbers.
• Laws of exponents (through observing patterns to arrive at generalisation.)
• Application of laws of exponents in simple daily life problems.
200.00 Commercial Arithmetic
201.00 Ratio and Proportion (Including Sharing in a Ratio)
• Ratio and proportion (revision)
202.00 Unitary Method (Including Time and Work)
• Unitary method continued, consolidation, general expression for unitary method .
• Speed, distance, time
203.00 Percent and Percentage
• Percentage- an introduction.
• Understanding percentage as a fraction with denominator 100
• Converting fractions and decimals into percentage and vice-versa.
204.00 Profit, Loss and Discount
• Application to profit and loss (single transaction only)
205.00 Simple Interest
• Application to simple interest (time period in complete years).
300.00 Algebra
301.00 Fundamental Concepts (Including Fundamental Operations)
• Terms related to algebra like constants, variable, terms, coefficient of terms, like and unlike terms, etc.
• Generate algebraic expressions.
• Performs operations (addition and subtraction) on algebraic expressions with integral coefficients only.
302.00 Simple Linear Equations (Including Word Problems)
• Simple linear equations in one variable (in contextual problems) with two operations.
• Inequalities and solution of simple inequalities in one variable
303.00 Set Concepts (Some Simple Divisions by Vedic Method)
• Revision idea of sets
• Equal, equivalent, universal sets
• Cardinal property of sets
400.00 Geometry
401.00 Lines and Angles (Including Construction of Angles)

Understanding shapes:-

•             Pairs of angles (linear, supplementary, complementary, adjacent, vertically opposite).
•             Properties of parallel lines with transversal (alternate, corresponding, interior, exterior   angles).
•             Construction of a line parallel to a given line from a point outside it .
402.00 Triangles

Properties of triangles:-

• Angle sum property
• Exterior angle property
• Construction of simple triangles.
403.00 Pythagoras Theorem
• Pythagoras Theorem (Verification only)
404.00 Symmetry (Including Reflection and Rotation)

Symmetry:-

• Recalling reflection symmetry
• Idea of rotational symmetry, observations of rotational symmetry of 2-D objects. (900, 1200, 1800)
405.00 Recognition of Solids (Representing 3-d in 2-d)

Representing 3-D in 2-D :-

•  Identification and counting of vertices, edges, faces, nets (for cubes cuboids,   and cylinders, cones).
•  Mapping the space around approximately through visual estimation.
406.00 Congruency: Congruent Triangles

Congruence :-

• Congruence through superimposition
• Extend congruence to simple geometrical shapes e.g. triangles, circles.
• Criteria of congruence
407.00 Mensuration
• Revision of perimeter and Idea of Circumference of Circle
• Area
• Concept of measurement using a basic unit area of a square, rectangle, triangle, parallelogram and circle, rings and combined figures.
500.00 Data Handling (Statistics)
501.00 Data Handling
• Collection and organisation of data – choosing the data to collect for a hypothesis testing
• Mean, median and mode of ungrouped data – understanding what they represent
• Constructing and interpreting bar graphs
502.00 Probability

Feel of probability using data through experiments. Notion of chance in events like tossing coins, dice etc. Tabulating and counting occurrences of 1 through 6 in a number of throws. Comparing the observation with that for a coin. Observing strings of throws, notion of randomness.