Class 7 mathematics is a foundational level of math education typically taught to students around the age of 12-13. In this grade, students build upon the fundamental math concepts they learned in previous years and begin to explore more advanced topics. Some key areas of study in class 7 mathematics include:
Congruence of triangles refers to the property in geometry where two triangles are considered congruent if their corresponding sides are equal in length and their corresponding angles are equal in measure. Essentially, if all corresponding sides and angles of two triangles are identical, then the triangles are congruent.
9 minmin
Fractions
Fractions are a fundamental concept in mathematics that represent parts of a whole or quantities that are divided into equal parts. They consist of a numerator, which represents the number of parts being considered, and a denominator, which represents the total number of equal parts in the whole.
10 minmin
Algebraic Expressions
Algebraic expressions are mathematical expressions that consist of variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, and exponentiation. These expressions are used to represent relationships between quantities and to solve mathematical problems.
9 minmin
Data handling
Data handling refers to the process of managing, organizing, analyzing, and interpreting data to extract useful insights and make informed decisions. It involves various tasks such as data collection, storage, cleaning, processing, and visualization.
8 minmin
Perimeter and Area
Perimeter and area are fundamental concepts in geometry that relate to the measurement of two-dimensional shapes.
Perimeter refers to the total length of the boundary or outline of a shape. It is calculated by adding together the lengths of all the sides of the shape. For example, the perimeter of a rectangle can be found by adding twice the length to twice the width (P = 2l + 2w), while the perimeter of a circle is given by the formula 2πr, where r is the radius.
6 minmin
Practical geometry
Practical geometry is a branch of mathematics that focuses on the study of geometric shapes and figures in real-world contexts, emphasizing the application of geometric principles to solve practical problems. It involves the use of measurements, construction techniques, and geometric relationships to analyze and manipulate shapes and structures found in everyday life.
7 minmin
Lines and Angles
Lines and angles are fundamental concepts in geometry that describe the relationships between straight lines and the angles they form. A line is a straight path that extends indefinitely in both directions, while an angle is formed by two rays with a common endpoint, called the vertex.
4 minmin
Symmetry
Symmetry is a fundamental concept in mathematics and art that describes the balanced arrangement of parts around a central point, line, or plane. It refers to a property where an object or a shape remains unchanged or looks the same after undergoing a transformation such as reflection, rotation, or translation.
6 minmin
Visualising Solid Shapes
Visualizing solid shapes is the ability to mentally manipulate and comprehend three-dimensional objects in space. In mathematics and geometry, it involves understanding the characteristics, properties, and relationships of various geometric solids, such as cubes, prisms, pyramids, cylinders, cones, and spheres.
5 minmin
Integers
Integers are a fundamental concept in mathematics representing whole numbers, both positive and negative, along with zero. They are used to describe quantities such as counts, positions, and differences between values. In mathematical notation, integers are denoted by the symbol "Z" and can be represented on a number line extending infinitely in both directions.
16 minmin
Simple Equations
Simple equations are mathematical expressions that involve one variable and can be solved using basic arithmetic operations. These equations typically take the form of
�
�
+
�
=
�
ax+b=c, where
�
a,
�
b, and
�
c are constants, and
�
x represents the unknown variable.
8 minmin
Exponents and Powers
Exponents and powers are fundamental concepts in mathematics that deal with repeated multiplication and the representation of large or small numbers.
An exponent, represented as
�
�
a
n
, consists of a base (
�
a) raised to a certain power (
�
n), indicating how many times the base is multiplied by itself. For example,
2
3
2
3
means
2
2 multiplied by itself
3
3 times (
2
×
2
×
2
=
8
2×2×2=8).
17 minmin
Comparing Quantities
Comparing quantities is a fundamental mathematical concept that involves evaluating and analyzing the relationship between two or more numerical values or sets of data. It is often used to determine relative sizes, proportions, differences, or similarities between quantities.
19 minmin
The Triangle and its properties
The triangle is one of the fundamental shapes in geometry, defined by three sides and three angles. Its properties encompass a wide range of characteristics and relationships that govern its structure and behavior
13 minmin
Decimals
Decimals are a fundamental aspect of the number system, representing parts of a whole or fractional quantities. They are used to express values that fall between two whole numbers, allowing for more precise measurements and calculations.
12 minmin
Rational Numbers
Rational numbers are a fundamental concept in mathematics, representing numbers that can be expressed as a fraction of two integers, where the denominator is not zero. In other words, rational numbers can be written in the form
�
�
b
a
, where
�
a and
�
b are integers and
�
b is not equal to zero.
11 minmin
Requirements
Smart Phone Or Laptop with Internet Connection
Description
Certainly! Here's a brief overview of each topic:
1. Congruence of Triangles: The study of congruence involves comparing and identifying when two triangles are identical in shape and size. This involves understanding congruent angles and sides.
2. Fractions: Fractions represent parts of a whole and are expressed as a ratio of two integers. Understanding fractions involves operations like addition, subtraction, multiplication, and division.
3. Algebraic Expressions: Algebraic expressions involve variables, constants, and mathematical operations. They are used to represent mathematical relationships and solve equations.
4. Data Handling: Data handling involves collecting, organizing, representing, and analyzing data to extract meaningful information. This includes techniques like tallying, graphing, and calculating measures of central tendency and dispersion.
5. Perimeter and Area: Perimeter refers to the total length of the boundary of a two-dimensional shape, while area refers to the amount of space enclosed within the shape. These concepts are fundamental to geometry.
6. Practical Geometry: Practical geometry involves applying geometric concepts to solve real-world problems, such as measuring and constructing shapes, calculating dimensions, and determining angles.
7. Lines and Angles: Lines and angles are foundational concepts in geometry. Understanding different types of lines (e.g., parallel, perpendicular) and angles (e.g., acute, obtuse) is essential for geometric reasoning.
8. Symmetry: Symmetry refers to the balanced arrangement of parts on either side of a central axis or point. It is observed in various geometric shapes and objects.
9. Visualizing Solid Shapes: Visualizing solid shapes involves understanding three-dimensional objects and their properties, such as faces, edges, vertices, and different types of polyhedra.
10. Integers: Integers are whole numbers, both positive and negative, along with zero. They are used to represent quantities in situations involving direction, temperature, and debt.
11. Simple Equations: Simple equations involve finding the value of a variable that satisfies a given mathematical statement. This often involves basic arithmetic operations and inverse operations.
12. Exponents and Powers: Exponents represent repeated multiplication, while powers are expressions with a base and exponent. Understanding exponents and powers is crucial for expressing large and small numbers efficiently.
13. Comparing Quantities: Comparing quantities involves analyzing relationships between different quantities, such as ratios, proportions, percentages, and rates of change.
14. The Triangle and its Properties: This topic explores various properties and characteristics of triangles, including types of triangles (e.g., equilateral, isosceles, scalene) and triangle congruence criteria.
15. Decimals: Decimals are numbers that include a decimal point to represent parts of a whole. They are used in various contexts, including measurements, currency, and calculations requiring precision.
16. Rational Numbers: Rational numbers are numbers that can be expressed as a ratio of two integers, where the denominator is not zero. They include fractions and terminating or repeating decimals.
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