Introduction to Sets
This lesson defines a set and explains set notation. It covers types of sets, cardinality, and set operations. Venn diagrams are also introduced for solving real-life problems.
- 10:44 “for example, we have A equals to three and we have B to be one and five. You can see there's nothing common between A and B. So this is an example of what? It's an example of a disjoint set. So let's look at the next sli...”
- 17:33 “let's say we have the number of A, don't forget we said the cardinality of A says can be represented by this. So we have 23 and we have the number of B to be 12 and we have the number of A union B to be 35 and don't forg...”
- 18:26 “then plus we have the cardinality of B to be 12 and we have this to be and we have to find this. So we have to find this. So what we see is that we have 35 equals 23 plus 12 we have 35 then minus minus this. So we have,...”
Similar Shapes
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
- 06:21 “twice. That means the smaller one is, the smaller one is twice the big. I have the bigger one, I have the smaller one. So two of the smaller one makes the big one. So if you have 8, this is 4, 4 times 2, that's 8, then w...”
- 07:08 “I have 5, 4 times 5, that will give me 20. Now looking at these 3D diagrams, are they the same? No. Technute, very, very important. This gives me 25, 25, 25, but in the smaller one I have, 5, 4 and 5, they are not the sa...”
- 05:31 “B, is 3 times that of A. So 3 times the height, that's 5, that will give me 15. Please take note. It's very, very important. Once you can be able to identify their heights and see what is different between them. You coul...”
Plane Figures and Their Properties
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.
- 02:47 “Identifying plane shapes. Properties of a rectangle. The opposite sides are equal and parallel. It has equal angles. Each angle at 90 degrees. For a rectangle, each angle is at 90 degrees. This is 90 degrees, 90, 90, and...”
- 09:20 “They are four interior angles equal 90 degrees and opposite sides are parallel to each other. Differences include, for a square, all sides are of equal length, only the opposite sides are of equal length for a rectangle....”
- 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...”