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# Mathematics Class 7 CBSE CBSE Topics and Syllabus

Course

## Topics with syllabus and resources

1.00 Integers
• Multiplication and Division of Integers
• Properties of Integers
• Properties of multiplication of integers
• Word problems including integers
2.00 Fractions and Decimals
• Let’s recal fractions
• Multiplication of Fractions (fraction x whole number & fractionx fraction)
• Division of fractions (whole number/fraction; reciprocal of a fraction; fraction/whole number; fraction/fraction)
• Multiplication & Division of Decimal Numbers (decimal x decimal; decimal  x whole number; decimal x 10, 100, 1000)
• Word Problems on Fractions and Decimal Numbers
3.00 Data Handling
• Introduction: Why should we organize data?
• Data collection and organizing data
• Arithmetic Mean & Range
• Mean, Median & Mode
• Chance & Probability
4.00 Simple Equations
• Recall : Expressions and Equations
• Setting up an equation
• Solving an equation
• Tracing Back: from solution to equation
• Application of simple equations to practical situations
5.00 Lines and Angles
• Introduction to Lines and Angles
• Related Angles: Complementary and supplementary angles
• Related Angles: Adjacent, vertically opposite and linear pair of angles
• Pairs of Lines : Intersecting Line and Transversal
• Check for parallel lines
6.00 The Triangle and Its Properties
• Introduction : Recall the triangles
• Medians & Altitudes of a triangle
• Exterior Angle of a triangle & its property
• Angle sum property of a triangle
• Equilateral & Isosceles Triangles
• Sum of the length of two sides of a triangle
• Right-Angled Triangles and Pythagoras Property
7.00 Congruence of Triangles
• Congruence of Plane Figures
• Congruence Among Line Segments

If two line segments have the same (i.e., equal) length, they are congruent

• Congruence of Angles
• Congruence of Triangles
• Criteria for Congruence of Triangles

SSS Congruence criterion:If under a given correspondence, the three sides of one triangle are equal to the three corresponding sides of another triangle, then the triangles are congruent

SAS Congruence criterion:If under a correspondence, two sides and the angle included between them of a triangle are equal to two corresponding sides and the angle included between them of another triangle, then the triangles are congruent.

ASA Congruence criterion:If under a correspondence, two angles and the included side of a triangle are equal to two corresponding angles and the included side of another triangle, then the triangles are congruent.

• Congruence Among Right- Angled Triangles
• The idea of congruence in geometry
• Congruence of plane figures, line segments, angles
• Criteria for congruence of triangles
• Congruence among right-angled triangles
8.00 Comparing Quantities
• Comparing Quantities
• Equivalent Ratios
• Percentage : Another way of comparing quantities
• Converting fractional and decimal numbers to percentage
• Converting percentage to fractions or decimal numbers
• Uses of Percentage : Interpreting and converting percentages
• Uses of Percentage : Ratio to Percent, Increase of Decrease as percent
• Profit or Loss as Percentage
• Introduction to simple interest for one and multiple years
9.00 Rational Numbers
• Introduction to rational numbers and their need
• Positive and negative natural numbers and their representation on number line
• Rational numbers in standard form
• Representation of rational number as a decimal
• Comparison of rational numbers
• Rational numbers between two rational numbers
• Operations in rational numbers
• Word problems on rational numbers (all operations)
10.00 Practical Geometry
• Construction of a line parallel to a given line, through a point not on the line
• Construction of Triangles : An idea
• Constructing a triangle when the lengh of its sides are known (SSS Criterion)
• Constructing a triangle when the length its two sides and the measure of the angle between them are known (SAS Criterion)
• Constructing a triangle when the measure of two of its angles and the length of the side included between them is given (ASA Criterion)
• Constructing a Right-Angled Triangle when the length of one leg and its Hypotenous are given (RHS Criterion)
11.00 Perimeter and Area
• Triangles
• Area of a parallelogram & triangle
• Circles : Circumference & Area
• Perimeter of Polygons
• Conversion of units and its applications
12.00 Algebraic Expressions
• Introduction: Formation of an equation
• Terms of an expression : Factors and coefficients of a term
• Like and unlike terms : Monomials, Binomials, Trinomials and Polynomials
• Addition and subtraction of algebraic expressions
• Finding the value of an expression
• Using algebraic expression – formulas and rules [Perimeter formula; area formula]
• Simple linear equations
• Patterns in numbers and geometry
13.00 Exponents and Powers
• Why exponents and powers?
• Exponents: The shorthand for repeated multiplications
• Laws of exponents
• Decimal number system and expressing large numbers in the standard form
14.00 Symmetry
• Recalling reflection symmetry
• Line Symmetry
• Rotational Symmetry
• A comparison between line symmetry and rotational symmetry
15.00 Visualizing Solid Shapes
• Introduction to plane figures and solid shapes (faces, edges and vertices)
• Building 3-D Shapes
• Oblique Sketches
• Isometric Sketches
• Different sections of a solid (slicing/cutting & shadow)