CBSE Class 7 Mathematics Syllabus
CBSE Syllabus For Class 7 Mathematics:
Chapters |
Name of the Chapters |
Chapter 1 |
Integers |
Chapter 2 |
Fractions and Decimals |
Chapter 3 |
Data Handling |
Chapter 4 |
Simple Equations |
Chapter 5 |
Lines and Angles |
Chapter 6 |
The Triangles and its Properties |
Chapter 7 |
Congruence of Triangles |
Chapter 8 |
Comparing Quantities |
Chapter 9 |
Rational Numbers |
Chapter 10 |
Practical Geometry |
Chapter 11 |
Perimeter and Area |
Chapter 12 |
Algebraic Equation |
Chapter 13 |
Exponents and Powers |
Chapter 14 |
Symmetry |
Chapter 15 |
Visualizing Solid Shapes |
Detailed CBSE Syllabus For Class 7 Maths
Details of syllabus in each of these chapters:
Chapter 1: Integers
1.1: Introduction
1.2: Recall
1.3: Properties of Addition and Subtraction of Integers
- 3.1:Closure under Addition
- 3.2:Closure under Subtraction
- 3.3:Commutative Property
- 3.4:Associative Property
- 3.5:Additive Identity
1.4: Multiplication of Integers
- 4.1:Multiplication of a Positive and a Negative Integer
- 4.2:Multiplication of two Negative Integers
- 4.3:Product of three or more Negative Integers
1.5: Properties of Multiplication of Integers
- 5.1:Closure under Multiplication
- 5.2:Commutativity of Multiplication
- 5.3:Multiplication by Zero
- 5.4:Multiplicative Identity
- 5.5:Associativity for Multiplication
- 5.6:Distributive Property
- 5.7:Making Multiplication Easier
1.6: Division of Integers
1.7: Properties of Division of Integers
Chapter 2: Fractions and Decimals
2.1: Introduction
2.2: How Well Have You Learnt About Fractions?
2.3: Multiplication of Fractions
- 3.1:Multiplication of a Fraction by a Whole Number
- 3.2:Multiplication of a Fraction by a Fraction
2.4: Division of Fractions
- 4.1:Division of Whole Number by a Fraction
- 4.2:Division of a Fraction by a Whole Number
- 4.3:Division of a Fraction by Another Fraction
2.5: How Well Have You Learnt About Decimal Numbers
2.6: Multiplication of Decimal Numbers
- 6.1:Multiplication of Decimal Numbers by 10, 100 and 1000
2.7: Division of Decimal Numbers
- 7.1:Division by 10, 100 and 1000
- 7.2:Division of a Decimal Number by a Whole Number
- 7.3:Division of a Decimal Number by another Decimal Number.
Chapter 3: Data Handling
3.1: Introduction
3.2: Collecting Data
3.3: Organisation Of Data
3.4: Representative Values
3.5: Arithmetic Mean
- 5.1:Range
3.6: Mode
- 6.1:Mode of Large Data
3.7: Median
3.8: Use of Bar Graphs with A Different Purpose
- 8.1:Choosing A Scale
3.9: Chance and Probability
- 9.1:Chance.
Chapter 4: Simple Equations
4.1: A Mind-Reading Game!
4.2: Setting Up of an Equation
4.3: Review of What We Know
4.4: What Equation Is?
- 4.1:Solving an Equation
4.5: More Equations
4.6: From Solution to Equation
4.7: Applications of Simple Equations to Practical Situations
Chapter 5: Lines and Angles
5.1: Introduction
5.2: Related Angles
- 2.1:Complementary Angles
- 2.2:Supplementary Angles
- 2.3:Adjacent Angles
- 2.4:Linear Pair
- 2.5:Vertically Opposite Angles
5.3: Pairs of Lines
- 3.1:Intersecting Lines
- 3.2:Transversal
- 3.3:Angles Made by A Transversal
- 3.4:Transversal of Parallel Lines
5.4: Checking for Parallel Lines
Chapter 6: Triangles and its Properties
6.1: Introduction
6.2: Medians of a Triangle
6.3: Altitudes of a Triangle
6.4: Exterior Angle of a Triangle and Its Property
6.5: Angle Sum Property of a Triangle
6.6: Two Special Triangles: Equilateral and Isosceles
6.7: Sum of The Lengths of Two Sides of a Triangle
6.8: Right-Angled Triangles and Pythagoras Property
Chapter 7: Congruence of Triangles
7.1: Introduction
7.2: Congruence of Plane Figures
7.3: Congruence Among Line Segments
7.4: Congruence of Angles
7.5: Congruence of Triangles
7.6: Criteria for Congruence of Triangles
7.7: Congruence Among Right-Angled Triangles
Chapter 8: Comparing Quantities
8.1: Introduction
8.2: Equivalent Ratios
8.3: Percentage – Another Way of Comparing Quantities
- 3.1:Meaning of Percentage
- 3.2:Converting Fractional Numbers to Percentage
- 3.3:Converting Decimals to Percentage
- 3.4:Converting Percentages to Fractions or Decimals
- 3.5:Fun with Estimation
8.4: Use of Percentages
- 4.1:Interpreting Percentages
- 4.2:Converting Percentages To “How Many”
- 4.3:Ratios to Percents
- 4.4:Increase or Decrease as Percent
8.5: Prices Related to An Item or Buying and Selling
- 5.1:Profit or Loss as A Percentage
8.6: Charge Given on Borrowed Money or Simple Interest
- 6.1:Interest for Multiple Years.
Chapter 9: Rational Numbers
9.1: Introduction
9.2: Need for Rational Numbers
9.3: What Are Rational Numbers?
9.4: Positive and Negative Rational Numbers
9.5: Rational Numbers on a Number Line
9.6: Rational Numbers in Standard Form
9.7: Comparison of Rational Numbers
9.8: Rational Numbers Between Two Rational Numbers
9.9: Operations on Rational Numbers
- 9.1:Addition
- 9.2:Subtraction
- 9.3:Multiplication
- 9.4:Division.
Chapter 10: Practical Geometry
10.1: Introduction
10.2: Construction of A Line Parallel To A Given Line, Through A Point Not On The Line
10.3: Construction of Triangles
10.4: Constructing A Triangle When the Lengths of Its Three Sides Are Known (SSS Criterion)
10.5: Constructing A Triangle When the Lengths of Two Sides and The Measure of The Angle Between Them Are Known. (SAS Criterion)
10.6: Constructing A Triangle When the Measures of Two of Its Angles and The Length of The Side Included Between Them Is Given. (ASA Criterion)
10.7: Constructing A Right-Angled Triangle When the Length of One Leg and Its Hypotenuse Are Given (RHS Criterion).
Chapter 11: Perimeter and Area
11.1: Introduction
11.2: Squares and Rectangles
11.2.1: Triangles as Parts Of Rectangles
11.2.2: Generalising For Other Congruent Parts of Rectangles
11.3: Area of A Parallelogram
11.4: Area of A Triangle
11.5: Circles
- 5.1:Circumference of A Circle
- 5.2:Area of Circle
11.6: Conversion of Units
11.7: Applications.
Chapter 12: Algebraic Expressions
12.1: Introduction
12.2: How Are Expressions Formed?
12.3: Terms of An Expression
12.4: Like and Unlike Terms
12.5: Monomials, Binomials, Trinomials and Polynomials
12.6: Addition and Subtraction of Algebraic Expressions
12.7: Finding the Value of An Expression
12.8: Using Algebraic Expressions – Formulas and Rules.
Chapter 13: Exponents and Powers
13.1: Introduction
13.2: Exponents
13.3: Laws of Exponents
- 3.1:Multiplying Powers with The Same Base
- 3.2:Dividing Powers with The Same Base
- 3.3:Taking Power of a Power
- 3.4:Multiplying Powers with The Same Exponents
- 3.5:Dividing Powers with The Same Exponents
13.4: Miscellaneous Examples Using the Laws of Exponents
13.5: Decimal Number System
13.6: Expressing Large Numbers in The Standard Form.
Chapter 14: Symmetry
14.1: Introduction
14.2: Lines of Symmetry for Regular Polygons
14.3: Rotational Symmetry
14.4: Line Symmetry and Rotational Symmetry.
Chapter 15: Visualising Solid Shapes
15.1: Introduction: Plane Figures and Solid Shapes
15.2: Faces, Edges and Vertices
15.3: Nets for Building 3-D Shapes
15.4: Drawing Solids on A Flat Surface
- 4.1:Oblique Sketches
- 4.2:Isometric Sketches
- 4.3:Visualising Solid Objects
15.5: Viewing Different Sections of a Solid
- 5.1:One Way to View an Object Is by Cutting Or Slicing
- 5.2:Another Way Is by Shadow Play
- 5.3:A Third Way Is by Looking at It From Certain Angles To Get Different Views.