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After an introduction to whole numbers in class 6, this chapter deals with integers, both positive and negative, to give the students a feel of the real numbers. This chapter gives a new perspective to students, in terms of properties and importance of integers. The exercises are made to ensure that the students grasp the whole concept thoroughly. This is not exactly a new concept, rather, a further exploration of the old concepts. The chapter deals with the properties of fractions and decimals, and the operations on the same.
They also deal with the portrayal of fractions and decimals on the number line, and their expansions and subtraction. This chapter can be considered as the first step towards statistics, as it deals with data accumulation, the data interpretation, and the plotting, keeping up with real life examples.
The chapters also teach how to make a few deductions from the accumulated data. The exercises are kept very close to real life examples, and thus, practicing the same gives a better feel of the same.
As the name suggests, this chapter deals with the formulation and applications of simple equations. From setting up simple equations to solving them, this chapter explores the theory of equations thoroughly. The problems have been extensively discussed in the solutions. The first chapter of geometry in Class 7, lines and angles starts with the fundamental definitions of line and angle.
The chapter will cruise through the concepts of parallel lines, and the associated angles like the alternate interior angles, corresponding angles, vertically opposite angles.
This fairly easy chapter is further made interesting with the help of exercises, and the solutions justify the same effectively. The second chapter of geometry deals with triangles and their properties. This chapter talks about the types of triangles, the angle sum property, the medians and altitudes, and the Pythagoras theorem.
The students will get a feel of what triangles are in general, and the specific applications of the Pythagoras theorem in this chapter. In class 6 Maths, we have studied that a line has no endpoints on either side.
Do you know? When two lines intersect, the meeting point is called the point of intersection and when lines are drawn on a sheet of paper do not meet, however far produced, we call them to be parallel lines.
In Chapter 5 of class 7 Maths, we have to study about two pairs of opposite angles, called vertically opposite angles. We also go through about a transversal is a line that intersects two or more lines at distinct points. Chapter 5 will also helpful in Chapter 6 Triangles and its properties.
Chapter 6 of Class 7 Maths describes the six elements of a triangle are its three angles and the three sides. It also briefs about three medians and three altitudes of the triangle. We know that an exterior angle of a triangle is formed when a side of a triangle is produced. So, we can have two ways of forming an exterior angle.
We will use the property of the lengths of sides of a triangle to solve various sums quickly. There is the introduction of Pythagoras property also which may be useful in further classes also.
Do you know that congruent objects are exact copies of one another? In class 7 Maths Chapter 7, we will study about the congruency of triangles and their theorems also. In this chapter, it is explained how the method of superposition examines the congruence of plane figures.
There are four main rules of congruence of two triangles. Here, S denotes the side, and A denotes the angle of the triangle.
There is no such thing as AAA Congruence of two triangles. This chapter is much useful to solve geometrical questions, even in higher classes. Comparing quantities means to find the relative ratio between two or more quantities. We are often required to compare two quantities in our daily life. Quantities may be heights, weights, salaries, marks etc. Two ratios can be compared by converting them to like fractions. If the two fractions are equal, we say the two given ratios are equivalent.
If two ratios are equivalent, then the four quantities are said to be in proportion. We may also use percentage for comparing quantities. Percentages are numerators of fractions with denominator Percentages are widely used in our daily life. Rational numbers are very common to us as it is already used in previous classes. All integers and fractions are rational numbers.
When the numerator and denominator, both, are positive integers, it is a positive rational number. When either the numerator or the denominator is a negative integer, it is a negative rational number. The number 0 is neither a positive nor a negative rational number.
Here, we will also learn about the standard form of a rational number and how to find the sum, product, division and difference of two rational numbers using numerator and denominator adjustment. In Chapter 10 of Class 7 Maths, we looked into the methods constructing figures using ruler and compasses. Class 7 Maths Chapter 7 Congruence of Tringle is used in this chapter to draw triangular figures.
Class 7 Maths Chapter 11 includes the mensuration of 2 � D figures. We know that perimeter is the distance around a closed figure whereas area is the part of the plane occupied by the closed figure.
Here, we have to find the perimeter of various objects used in daily life. In Class 7 Maths Chapter 12, we will learn how algebraic expressions are formed from variables and constants.
We will also use the operations of addition, subtraction, multiplication and division on the variables and constants to form expressions. We should know that expressions are made up of terms, and terms are added to make an expression. Normally, a term is a product of factors and factors containing variables are said to be algebraic factors.
The coefficient is the numerical factor in the term, and any expression with one or more terms is called a polynomial. Polynomials may be in the form of binomial or trinomials. Terms which have the same algebraic factors are like terms, whereas terms which have different algebraic factors are unlike terms. We know that vast numbers are difficult to read, understand, compare and operate upon.
Chapter 13 of Class 7 Maths states the way to make all these easier. Hence, side QR is the hypotenuse. The top of a ladder of length 15 m reaches a window 9 m above the ground. What is the distance between the base of the wall and that of the ladder? Let LN be ladder of length 15 m that is resting against a wall.
Let M be the base of the wall and L be the position of the window. The window is 9 m above the ground. Now, MN is the distance between base of the wall and that of the ladder. Hence, the distance between base of the wall and that of the ladder is 12 m. Find the Pythagorean triplets from among the following sets of numbers.
It is known that, if in a triplet of natural numbers, the square of the biggest number is equal to sum of the squares of the other two numbers, then the three numbers form a Pythgorean triplet.
The biggest number among the given set is 5. The biggest number among the given set is 6. The biggest number among the given set is 7.
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