Class 7 SyllabusMental Mathematics- Addition, subtraction, multiplication, and division of whole numbers
- Estimation and approximation
- Mental calculations using various strategies
- Solving problems using mental mathematics techniques
Rational Numbers- Introduction to rational numbers
- Representation of rational numbers on a number line
- Operations on rational numbers (addition, subtraction, multiplication, division)
- Simplification of rational numbers
- Word problems involving rational numbers
Linear Equations in One Variable- Introduction to linear equations
- Solving linear equations using the balance method
- Solving linear equations using inverse operations
- Word problems involving linear equations
- Applications of linear equations in daily life
Understanding Quadrilaterals- Introduction to quadrilaterals and its types
- Properties of quadrilaterals (parallelogram, rectangle, square, rhombus, trapezium)
- Construction of quadrilaterals using given properties
- Word problems involving properties of quadrilaterals
Practical Geometry- Introduction to practical geometry
- Construction of angles, triangles, quadrilaterals using ruler and compass
- Construction of perpendicular bisectors and angle bisectors
- Construction of tangents to a circle
- Applications of practical geometry in daily life
Data Handling- Collection, organization, and representation of data
- Types of data (raw data, discrete data, continuous data)
- Tabulation of data using frequency distribution table
- Representation of data using bar graphs, line graphs, and pie charts
- Interpretation of data from graphs and charts
Square and Square Roots- Introduction to squares and square roots
- Finding the square of a number
- Finding the square root of a perfect square
- Estimation of square roots
- Word problems involving squares and square roots
Cube and Cube Roots- Introduction to cubes and cube roots
- Finding the cube of a number
- Finding the cube root of a perfect cube
- Estimation of cube roots
- Word problems involving cubes and cube roots
Comparing Quantities- Ratio and proportion
- Unitary method
- Percentage and its applications
- Profit and loss
- Simple interest and compound interest
Algebraic Expression and Identities- Introduction to algebraic expressions
- Addition, subtraction, multiplication, and division of algebraic expressions
- Expanding and simplifying algebraic expressions
- Factorization of algebraic expressions
- Applications of algebraic expressions in daily life
Visualising Solid Shapes- Introduction to solid shapes
- Types of solid shapes (cuboid, cube, cylinder, cone, sphere)
- Properties and characteristics of solid shapes
- Construction of solid shapes using nets
- Identification and visualization of 3D shapes in daily life
Mensuration- Introduction to mensuration
- Perimeter and area of rectangles, squares, and triangles
- Circumference and area of circles
- Surface area and volume of cuboid and cube
- Word problems involving mensuration concepts
Exponents and Powers- Introduction to exponents and powers
- Laws of exponents (multiplication, division, power of a power)
- Scientific notation
- Evaluating expressions with exponents
- Word problems involving exponents and powers
Direct and Inverse Proportion- Introduction to direct and inverse proportion
- Solving problems using direct proportion
- Solving problems using inverse proportion
- Word problems involving direct and inverse proportion
- Applications of direct and inverse proportion in daily life
Factorisation- Introduction to factors and multiples
- Prime and composite numbers
- Finding factors and multiples of a number
- Prime factorization
- Word problems involving factorization
Introduction to Graphs- Introduction to graphs and its types (bar graph, line graph, pie chart)
- Reading and interpreting graphs
- Plotting points on a graph
- Drawing graphs based on given data
- Applications of graphs in daily life
Playing with Numbers- Divisibility rules
- HCF and LCM
- Prime and composite numbers
- Finding factors and multiples
- Word problems involving numbers
This syllabus covers a wide range of mathematical concepts and skills that are essential for Class 7 students. It provides a comprehensive understanding of various topics such as mental mathematics, rational numbers, algebraic expressions, geometry, data handling, and more. By mastering these concepts, students will develop strong mathematical abilities and problem-solving skills.
This course is helpful for the following exams: Class 8, Grade 8