Number theory takes a new turn with the introduction of rational and irrational numbers in addition to natural numbers, whole numbers and integers. Laws of exponents are revisited.
Algebra deals with a detailed explanation of polynomials, linear equations in one variable and two variables, zeros of a polynomial remainder and factor theorems and algebraic identities.
The basics of coordinate geometry are introduced with respect to the Cartesian plane.
Euclid’s geometry explains obvious notions, axioms, postulates and theorems. Other aspects of geometry are covered under parallel lines, the related angles, triangles, congruence and certain theorems related to triangles, quadrilaterals, basic areas of parallelograms and triangles and circles.
Mensuration: this entails the calculation of surface areas and volumes of 3D objects like cubes, cuboids, spheres, hemispheres and right circular cylinders and cones.
Statistics is very basic and introductory which includes a collection of data and its presentation, making simple bar graphs, histograms and frequency polygons. It also includes the definition of mean, median and mode of ungrouped data.
Syllabus
Integers
- Addition and Subtraction of Integers
- Multiplication and Division of Integers
- Properties of Division of Integers
Fractions and Decimals
Multiplication and Division of Fractions
Multiplication and Division of Decimals
Data handling
Collecting & Organizing Data
Arithmetic Mean, Median, Mode
Bar Graphs
Chance and Probability
Simple Equations
Setting up of an Equation
Types of Equations
Solution of Equation
Applications to Practical Equations
Comparing Quantities
Equivalent Ratios
Proportion
Percentage
Profit, Loss, Selling Price, Cost Price
Practical Geometry
Construction of a line parallel to a given one through a point
Construction of Triangles using various criteria
Geometry
- Lines and Angles
- Parallel Lines
- Related Angles
- Medians and Altitudes of a Triangle
- Angle Sum Property of a Triangle
- Equilateral, Isosceles and Right Angled Triangles
Algebraic Expressions
- Monomials, Binomials, Trinomials, Polynomials
- Addition and Subtraction of Algebraic Expressions
- Value of an Expression
- Formulas and Rules
Exponents and Power
- Exponents
- Laws of Exponents
- Expressing Large Numbers in the Standard Form
Methodology in Class 7 CBSE Maths Tuition
CBSE Class 7 Mathematics is essentially an extension of Class 6 mathematics barring a few topics which are introduced. Students are encouraged to practice HOTS, as these concepts are very helpful in the coming years. Working on higher order questions builds the strong base that we aim to have in our students.
Learn from CBSE Grade 7 Online Maths Tutor
Students walk out of this grade with a crystal clear understanding of virtually all basics required to master Mathematics up to grade 10. Students who were not comfortable with certain topics in grade 6 can use this opportunity to work on their shortcomings and polish all skills.