# Class 7 Maths

Class 7 maths emphasizes the development of analytical thinking and reasoning in students.

It is the base for developing secondary-level computational skills in students. Students in Class 7 learn to work with polynomials, constants, variables, equations, expressions, and exponents which form the base for solving complex algebraic expressions used in class 8 maths. Thus, forming a clear understanding of all class 7 maths is highly important for students to interpret and understand these concepts.

## Class 7 Maths Syllabus

CBSE Class 7 Maths syllabus is proficient in facilitating analytical growth and primary skillset in students. Class 7 Maths syllabus comprises topics related to shapes, numbers, addition, subtraction, and more. Some of the skills to develop in CBSE Class 7 maths are based on the following:

**Algebra**

**ALGEBRAIC EXPRESSIONS**

Generating simple algebraic expressions involving one or two variables

Identifying constants, coefficients, powers

Like and unlike terms, degree of expressions

Addition, subtraction of algebraic expressions with integers as coefficients.

Simple linear equations in one variable (in contextual problems) with two operations

**Ratio and Proportion**

Ratio and proportion (revision)

Unitary method continued. consolidation, general expression.

Percentage- an introduction.

Understanding percentage as a fraction with denominator 100

Converting fractions and decimals into percentages and vice-versa.

Application to profit and loss( single transaction only)

Application to simple interest( time period in complete years).

**Geometry**

**Understanding shapes: **Pairs of angles (linear, supplementary, complementary, adjacent, vertically opposite), (verification and simple proof of vertically opposite angles), Properties of parallel lines with transversal (alternate, corresponding, interior, exterior angles)

**Properties of Triangles:**

Angle sum property (with notions of proof & verification through paper folding, proofs using property of parallel lines, the difference between proof and verification.)

Exterior angle property, Pythagoras Theorem(Verification only)

**Symmetry**

Recalling reflection symmetry

Idea of rotational symmetry, observations of rotational symmetry of 2-D objects. (900, 1200, 1800)

Operation of rotation through 900 and 1800 of simple figures.

Examples of figures with both rotation and reflection symmetry(both operations)

Examples of figures that have reflection and rotation symmetry and vice-versa

**Representing 3-D in 2-D:**

Drawing 3-D figures in 2-D showing hidden faces.

Identification and counting of vertices, edges, faces, nets (for cubes cuboids, and cylinders, cones). Matching pictures with objects(Identifying names) Mapping the space around approximately through visual estimation.

**Congruence**

- Congruence through superposition (example blades, stamps, etc.)
- Extend congruence to simple geometrical shapes e.g. triangles, circles.
- Criteria of congruence (by verification) SSS, SAS, ASA, RHS

**Construction** (Using scale, protractor, compass)

Construction of a line parallel to a given line from a point outside it. (Simple proof as remark with

the reasoning of alternate angles)

Construction of simple triangles.

Like given three sides, given a side and two angles on it, given two sides and the angle between them.

**Mensuration**

Revision of perimeter

Circumference of Circle

Area Concept of measurement using a basic unit area of a square, rectangle, triangle, parallelogram and circle, area between two rectangles and two concentric circles.

Data handling

Collection and organization of data – choosing the data to collect for hypothesis testing.

Mean, median and mode of ungrouped data – understanding what they represent.

Constructing bar graphs

Feel of probability using data through experiments. Notion of chance in events like tossing

coins, dice etc. Tabulating and counting occurrences of 1 through 6 in a number of

throws. Comparing the observation with that for a coin. Observing strings of throws, the notion of randomness.

## Developing Class 7 Maths Skills

Class 7 maths focuses on developing various real life skills in students. Thus, it is important that the students should learn through practice and visualization. Some of the important computational skills that students develop in Class 7 are based on the following topics:

**Expressions and Equations**

Student in class 7 learn to work comfortably with expressions and equations. They start to utilize variables in solving real-world problems. Students also build their basic understanding to interpret inequalities and represent them through graph. Solidifying these concepts will help them in preparing for algebra in further grades and understanding linear equations to find slope and represent it on the graph.

**Number System**

In class 7 maths, students will completely master the skill of interpreting and computing all rational numbers. They can comfortably apply all arithmetic operations on these decimals and fractions. They have the ability to compute the positive as well as the negative numbers using basic mathematical operations and interpret the meaning of absolute value.

**Geometry**

Class 7 maths majorly focus on extending the understanding of volume and area to calculate surface area of various 2-D and 3-D objects. They also learn the formulas for the area and circumference of a circle.

## Class 7 Maths Tips and Tricks

**Solve Interactive Worksheets**

Strengthening basic Class 7 maths skills requires reinforcement of concepts. Parents can promote hands-on practice of these skills through interactive worksheets. Interactive worksheets offer visualization of concepts which is highly useful in comprehensive learning. The engaging format of interactive worksheets is also appropriate for improving math interest in children.

**Incorporate Fun in Learning**

Some of the valuable math learning ways are playing math games, fun activities, solving puzzles, flashcards or using math props. With the help of these simple learning aids, kids tend to grasp the concepts faster and easier.

visual curriculum