ICSE Class 7 Mathematics Syllabus

The ICSE (Indian Certificate of Secondary Education) Class 7 Mathematics syllabus is designed to build a strong foundation in mathematical concepts and problem-solving skills. It covers a range of topics including arithmetic, geometry, algebra, and data handling. Below is a detailed overview of the latest ICSE Class 7 Mathematics syllabus:

1. Arithmetic

1.1. Integers

  • Concept of Integers: Definition and representation on a number line.
  • Operations: Addition, subtraction, multiplication, and division of integers.
  • Properties: Commutative, associative, and distributive properties.

1.2. Fractions and Decimals

  • Fractions:
    • Concept of fractions, types (proper, improper, mixed numbers).
    • Simplification, addition, subtraction, multiplication, and division of fractions.
    • Converting between fractions and mixed numbers.
  • Decimals:
    • Understanding decimals, place value, and rounding off.
    • Addition, subtraction, multiplication, and division of decimals.
    • Converting between fractions and decimals.

1.3. Ratios and Proportions

  • Ratios: Understanding and simplifying ratios.
  • Proportions: Solving problems involving proportions.
  • Applications: Word problems involving ratios and proportions.

1.4. Percentages

  • Concept of Percentages: Understanding percentages as fractions of 100.
  • Calculations: Finding percentages, percentage increase/decrease, and applications in real-life problems.

1.5. Algebraic Expressions

  • Introduction to Algebra: Understanding variables, constants, and coefficients.
  • Simplification: Simplifying algebraic expressions using basic operations.
  • Substitution: Substituting values for variables in algebraic expressions.

2. Geometry

2.1. Basic Geometric Shapes and Properties

  • Points, Lines, and Angles: Understanding basic geometric terms and their properties.
  • Triangles: Types of triangles (scalene, isosceles, equilateral) and their properties.
  • Quadrilaterals: Types of quadrilaterals (square, rectangle, parallelogram, rhombus, trapezium) and their properties.

2.2. Symmetry

  • Line Symmetry: Identifying lines of symmetry in geometric shapes.
  • Rotational Symmetry: Understanding rotational symmetry and finding orders of rotation.

2.3. Construction

  • Basic Constructions: Constructing angles, triangles, and other simple shapes using a compass and ruler.

2.4. Circles

  • Concept of Circles: Understanding terms related to circles (radius, diameter, circumference).
  • Properties: Properties of circles and related problems.

3. Measurement

3.1. Units of Measurement

  • Length, Area, Volume: Understanding and converting between different units of measurement (metric and imperial).
  • Perimeter and Area: Calculating the perimeter and area of geometric shapes (triangles, rectangles, squares).

3.2. Volume and Surface Area

  • Prisms and Cylinders: Calculating the volume and surface area of prisms and cylinders.

4. Data Handling

4.1. Data Collection and Representation

  • Organizing Data: Collecting and organizing data in tables and charts.
  • Bar Graphs and Pictograms: Constructing and interpreting bar graphs and pictograms.

4.2. Statistics

  • Mean, Median, Mode: Calculating and interpreting measures of central tendency (mean, median, mode).
  • Range: Understanding and calculating the range of a data set.

5. Coordinate Geometry

5.1. Cartesian Plane

  • Introduction to Coordinates: Understanding the Cartesian plane and plotting points.
  • Graphs of Linear Equations: Plotting and interpreting linear graphs.

6. Mensuration

6.1. Surface Area and Volume

  • Surface Area: Calculating the surface area of cubes and cuboids.
  • Volume: Calculating the volume of cubes and cuboids.

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