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Mathematics Class 7 CBSE CBSE Topics and Syllabus

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Academic year:

Topics with syllabus and resources

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
  • Angles made by 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
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