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.
- 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....”
- 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...”
- 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...”
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
- 22:46 “384 centimeter square, the first, the second, now if we look at this carefully, we will arrive at the area of the first, area of the second, now how do we compare, remember we said if you are comparing, the bigger one is...”
- 21:53 “D, E and F, now it just means 1 over 2 multiplied by the base, what is the base, the base is 32, multiplied by what is the height, the height is 24, now when you look at this, what you are just simply doing is treating t...”
- 24:32 “smaller one, square, the bigger one is multiplied 4 times the smaller one, but in this proportion, this 4 can say 2 is to power 2, multiplied by water by 96 centimeter square, remember what's okay, as scalar factor is gi...”
Factorization of Algebraic Expressions
This lesson covers the factorization of simple algebraic expressions and quadratic expressions. It includes methods for identifying factors and solving related word problems.
- 18:53 “It will mean where they are, too. I have 4 less to power 2, 4 times 4, 16. It goes back to 16. 4 square 2 goes back. So, but if it's not a perfect square, then you take it out. But now, it's a perfect square. So it's eas...”
- 26:04 “It would be twice the number of girls, so that would be 120 times two. So, 120 times two, that would give us 240. So, when you had 240 plus 120, it would give you 360, total number of students in the school. What problem...”
- 15:44 “Now, what do I do next? Open the bracket. Remember, multiplication comes. A times a gives me a square plus a times b gives me a and b. And plus times plus, I have it as addition. b times b gives me b square because they...”
Rational and Non-Rational Numbers
This lesson covers the identification of rational and non-rational numbers. It explains the characteristics of different number sets, including natural numbers, whole numbers, and integers. The lesson also discusses the significance of the number PI in relation to circles.
- 09:32 “They don't have two points. You have examples of rational numbers, number one, decimals. Decimals, they have indefinite numbers of decimal digits, of which none are we occurring. So for example, you have 2.5566 and just...”
- 17:27 “Now, when you are calculating the ratio of the area to the square of the radios, this is what you do. The ratio of the area to the square of the radios, so now let's go. When you are doing that, what you are simply going...”
- 16:41 “Now, look at that question number 2. We have question number 2. Question number 2 says, calculate the ratio of the area to the square of the radios. Calculate the ratio of the area to the square of the radios. Now, how d...”