Whole Numbers and Prime Factorization
This lesson covers the expression of whole numbers and decimal numbers in standard form. It includes finding prime factors of numbers up to 200, determining the least common multiple (LCM), and finding the highest common factor (HCF). Additionally, it addresses perfect squares and square roots using
- 20:00 “that's four, if I have three times three, three times three, that's nine, if I have four times four, that gives me 16, now, what the perfect square, the perfect square is the number that results from multiplying a whole...”
- 19:08 “by itself, that's a square, if you look at the box carefully, you can add that box carefully, you would observe that how many boxes do we have, that means, size times size of the blue, there's two sides, how many two sid...”
- 20:47 “a result from itself, so if I have perfect square, for example, it result from its square, from itself, so looking to, two rest of part two, resulting from itself, that's two times two, that's four, three rest of part tw...”
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.
- 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...”
- 18:06 “So if these are in a perfect square, it's easy, very easy. So you put it in square and you express this how, how do you break it out? So someone says, oh, it becomes simpler. So I have a solution to the problem. Now, thi...”
- 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...”
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...”
- 04:43 “A socialist triangle is a triangle with two equal sides and equal base angles. Two sides of an isosceles triangle are equal. The third side is not of the same angle or the same length as the remaining two sides. Two side...”
Quadratic Equation and Roots
This lesson covers the formation of quadratic equations from given roots. It explains how to find the sum and product of the roots and demonstrates solving for unknown coefficients in a quadratic equation. Examples are provided to illustrate these concepts.
- 16:52 “out of it for me if I fix it this one in here look at what I'm going to have or shout instead of writing this alpha squared plus beta squared I'm going to write all these and they fix the product on it so with that is it...”
- 23:29 “48 over 6 and for you know you can get that to be 8 and if alpha cube is going to 8 so therefore your alpha is actually 2 because 2 is the cube of 8 so I mean the cube root of 8 is 2 or 2 is the cube of 8 so if alpha is...”
- 11:53 “go ahead to know what my sum what my sum will be and what my product will be. So with this I have alpha plus beta squared this gives me alpha squared plus 2 alpha beta plus beta squared all over alpha beta squared yes it...”
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...”
- 19:46 “Thank you very much, we've come to the end of this class. I remain Oyase Ose Sunday. See you in the next class.”
- 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...”