What is one common thing between a right-angled triangle and an isosceles triangle? Both of these figures are triangles! The concept of similarity deals with the physical appearance of any figure. If both the figures/shapes look same, although one has a comparatively larger area than the other, then the figures are called as similar structures. …
Imagine you have a sports event at your school. To conduct the running race, the rectangular school ground is divided into ten columns, each of 1m. Each column is separated by its adjacent ones with a line made up of chalk powder. On similar lines, there are 10 rows made, each of 1m, to see …
We have come across many shapes such as circle, square, triangle and the list goes on! To our surprise, the triangle holds a special place in maths. And why is that so? That’s because a complete branch of mathematics called ‘Trigonometry’ is committed to analysing triangles. In fact, the word ‘Trigonometry’ itself gives us an …
In the previous chapter, we have studied about trigonometric ratios. But ever wondered where these ratios, or say, trigonometry is used? Or what are the applications of trigonometry in our day-to-day life? Well, this is the apt location to find that out! In this chapter, we will learn numerous astonishing ways in which trigonometry is …
Try solving this riddle. I have no vertices. I have no flat faces. I have infinite axes of symmetry. Who am I? It’s a Circle. We find circular objects everywhere from round cakes and bangles, to dartboard and cycle wheels. No wonder, the world of circles takes us to another tangent. Surprisingly, tangents are exclusively …
Imagine you are constructing a bridge. The instructions given for the construction should be followed precisely. Lack of understanding may result in the bridge to collapse. So, measurements and accuracy play a key role in any construction. On similar lines, when it comes to construction in mathematics, it holds the same strategy. Firstly, we should …
Imagine a round cake. What is its area? By using the formula that we have studied in the lower grades, we can find the answer easily. But what if we tell you to to find the area of one slice of the cake? Is there a way to find its area? One slice of the …
Have you ever inspected an ice-cream? It reveals two solid objects, one a hemispherical scoop of delightful ice-cream, and second, the conical part that is a cone. So, this ice-cream is a combination of a cone and a hemisphere. What if we tell you to find out the volume and surface area of that entire …
Statistics is a branch of mathematics which deals with graphs, pie graphs, histograms and many more mathematical elements. In lower grades, we have already mastered skills in bar graphs, pie graphs, histograms and frequency polygons. In this chapter, we will move forward to advanced learning techniques of statistics. Here, in this lesson, you will encounter …
Ever wondered, why do meteorologists use the weather patterns to predict the chances of rain? Or how can we predict the chances of passing, in an examination, based on our performance? These ‘Chances’ that we are referring to, are nothing but ‘Probability’. In weather forecast, they check the ‘Probability of rain’, while after an examination …
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