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Similar Shapes

video lesson JSS3 · Mathematics · 33:04

This lesson covers the identification of similar shapes such as triangles, rectangles, squares, cubes, and cuboids. It explains the criteria for similarity, including proportional sides and equal angles. The lesson also includes methods for enlarging figures using scale factors and calculating lengt

  • 16:54 “is equal to K multiplied by the length of the given shape, the new length you want to get, is equal to K multiplied by the length of the given shape, that means what does that mean, substituting what does that mean, what...”
  • 11:03 “It would be, longest sides of first, that the longest sides of the first one, longest sides of the first, that is bigger, over the longest sides of the smaller one, that is one that is smaller of the smaller. So, now, wh...”
  • 16:09 “of rectangle ABC, look at it, ABCD rectangle, an enlargement of it gives us STUV, an enlargement of it, so the question is, calculate the length and the breadth of the rectangle of the largest size, if the K is already g...”
similar shapes geometry proportionality scale factors sides length side similar

Introduction to Trigonometry

video lesson SS2 · Further Mathematics · 27:08

This lesson covers the basic concepts of trigonometry, including the measurement of angles and the definition of trigonometric functions. It explains the types of angles, the use of protractors for measuring angles, and the concept of quadrants in relation to angles. The lesson also introduces plane

  • 22:54 “So we have the theta as 32. And the divided by 360 degrees times 2 pi radius. Radios is 620 meters. We can convert 360 degrees to radians. We have 32 divided by 2 pi times 2 pi, then times 620. So with this, this can do...”
  • 19:47 “That is the length of arc. But the length of arc, when you are dealing with radians, since we know that 2 pi is equal to 360 degrees, we can substitute into that. We have length equal to theta over 2 pi multiplied by 2 p...”
  • 24:33 “And they said, how long? If we have gotten times seconds, we have the times 10 seconds. And we are looking at the distance that the vehicle or the train has traveled. So together, we multiply this distance and look at th...”
trigonometry angles trigonometric functions plane trigonometry spherical trigonometry

Distance and Displacement

video lesson SS1 · Physics · 19:17

This lesson explains the concepts of distance and displacement in translational motion. It covers how to measure distance without considering direction and how displacement includes both distance and direction. The lesson also discusses the position of an object in relation to a reference point.

  • 09:39 “So distance will always be positive. However, displacements, considering the four cardinal points that I explained with initially, the displacement can be negative, if it's coming from this side, it can be positive, if i...”
  • 10:27 “And as such, there are so many things that can be measured about the length of an object. We might be interested in the thickness, we might be interested in the depth sometimes or the height. So measuring the distance of...”
  • 12:50 “in our lab at home, and we use it almost every day. So the ruler, most times, can be used, there is limitation to the use of ruler. Most of the time we use ruler to measure a distance that is not above 100 cm, and becaus...”
distance displacement position motion object direction measure point

Plane Figures and Their Properties

video lesson JSS1 · Mathematics · 13:59

This lesson covers the identification and properties of various plane figures such as squares, rectangles, triangles, and circles. It explains how to calculate the area and perimeter of these shapes. The lesson also includes the classification of triangles their sides.

  • 10:55 “Therefore, the perimeter of the field is 180 meters. Moving on to the second question. A rectangle has a perimeter of 80 meters. Find the length of the rectangle if its breadth is 18 meters. From the question you see, we...”
  • 11:42 “So we just impute, substitute our values into the equation. Therefore, 80 is into bracket 2. It is equal to 2 bracket length plus breadth, which is 18. To solve that, we divide both sides by 2 to eliminate 2 on the other...”
  • 10:08 “We have worked examples here, calculate the perimeter of a football field, which measures 60 meters by 30 meters. From the example, it is noticeable, or you should know that it is not a square field. It is a rectangular...”
plane figures properties area perimeter triangles

Fundamental and Derived Quantities

video lesson SS1 · Physics · 26:41

This lesson covers the definitions of fundamental and derived quantities in physics. It explains how fundamental quantities serve as the base for deriving other quantities and the importance of measurement in physical science.

  • 07:06 “units. So this table doesn't show completely the number of the life quantity and their units, so we only is limited. As I said, there are numerals, there are in a Zostibu number of these derived quantity. So the first on...”
  • 03:57 “of the other quantity. The table below shows the fundamental quantity. There are seven in number, and as I've said earlier, every other quantity are derived from the fundamental quantity. Let's go to the next slide to se...”
  • 11:04 “should you come across it in another textbook for further research. Pleasure. Pleasure is given as force per unit area. So the force of an object over the area, don't forget that the force is the same thing as weight. Th...”
fundamental quantities derived quantities physics measurement quantity mass object meter