Addition and Subtraction of Fractions
This lesson covers how to add and subtract fractions with the same and different denominators. It explains finding the least common multiple (LCM) to create equivalent fractions for addition and subtraction. Examples are provided for practice.
- 01:39 “of seven and five is 35. So with this, they don't have common denominators, so you can just add this to get us to give you three over, what will it be? It will be three over seven, or will it be three over five. So in th...”
- 00:00 “Hello everyone, I'm your Mathematics teacher, Esther Olochi-Ebebeke, and the topic of this lesson is addition and subtraction of fractions. By the end of this lesson you should be able to solve giving problems on additio...”
- 04:08 “and the denominator by a common number. So to have to have 24 at the denominator of five and six, I also multiply six by four to have 24. So it means also that I will multiply the numerator by four and the denominator by...”
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.
- 05:41 “All common fractions, whether it's an improper fraction, whether it's a proper fraction, whether it's a mixed fraction, they all fall on that the categories of what rational numbers. Like I said, the proper fraction, the...”
- 06:28 “I have 11 over 20. You could see that 11 smaller compared to 20. I have 17 over 18 at the rest of the others. Now, that is the proper fraction. Now, an improper fraction is the opposite direction, opposite direction in t...”
- 08:00 “the larger volume. So we have percentage. We have fractions. Fractions. Percentage are inside the rational numbers. Take it off. So we have percentage. I said, all percentage are rational numbers. A percentage is a fract...”
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.
- 07:40 “2 in 4 - 2 times -1/2 -2 + 4 in 4 there's 1 times 3 that gives you 3 there. So this go ahead to put B in a better perspective for you. So you can go ahead and sum up your fraction here to have -2 + 3 I give you 1/4 equal...”
- 09:14 “B so that gives us a B equals -2. So a very quick one again is that we shall now go ahead and find what's the value of this expression will be okay. Look at this expression it says if you find find 1/r4 -1/b everything s...”
- 20:08 “4 times 3 that gives me minus 12 and I know for the fraction is been done by inverting when you have fraction to have fraction what you do is you invert by much implication and that gives me 64 over 9 minus this leads me...”
Solving Simultaneous Linear Equations
This lesson covers how to solve simultaneous linear equations using substitution and elimination methods. It also explains how to identify linear equations and includes examples for practice.
- 02:43 “So, we're able to solve this very well. You start from equation 2. From equation 2R minus Q over 2 plus 1. In equation 2, I have a fraction. The first step is eliminating your fraction. I'd rather eliminate my fraction h...”
- 13:56 “Don't forget this elimination. To eliminate A. Now P plus R equals 1 over 4. 1. 5P plus 2R equals to 2. Equation 1. I have a fraction here. There are two ways to this. I will solve and I want you to follow what you have...”
- 09:06 “Okay. Just like the first example, I'm having a fraction here. I can solve it with a fraction. The first step is clear your fraction. So where do we have the fraction? I have the fraction in example. That is equation 1....”
Roots of Quadratic Equations
This lesson covers how to find the sum and product of the roots of a quadratic equation. It also explains how to form a quadratic equation given the roots and states the conditions for equal roots, real roots, and no roots. Additionally, it discusses the relationship between a line and a curve in te
- 22:35 “Don't forget, the sum and product of quadratic equation is given as x squared minus r for plus beta, bracket plus x, then plus x, I mean, plus alpha beta. So the coefficient of your x squared must always be one. You know...”
- 15:18 “you can just make it three X over two, and you now go for minus two of five times X, that gives you minus two X over five. And the last one minus two of five times three over two, that gives you minus, okay, six over 10....”
- 13:46 “So for this one, I have X minus two over five, okay, and for this one, I have X equals bigger pardon, X plus one, one number one over two. Equal to zero, equal to zero. One more thing I can do before I bring them togethe...”
Basic Operations on Whole Numbers
This lesson covers addition and subtraction of whole numbers, including how to align numbers by their place values. It also explains multiplication and division by 10, 100, and 1000, and introduces the use of the BODMAS rule for solving mixed operations.
- 41:36 “you'll put 6, 275 in the square root sign, then you have 5 written outside, I want to use the long division method now. So, now, 5 in 6 is 1, you write the answer here, 1, 5 in 6 is 1, so 1 times 5, 1 times 5 is 5, you w...”
- 01:02:39 “15 minus 5 times this division must be treated first, so we have 10 over 5, 10 over 5 plus because we have 1 times 35 is 35, so now 15 minus 5, now looking at this place 5 goes here 1, 5 in 10 is 2, so now we have 5 time...”
- 55:20 “times 15 divided by 5, now when you look at the expression, if you look and you consider bodmas, you know that division comes before multiplication, so we are going to treat division first, so when I have 17 times, obvio...”
Simplification of Algebraic Expressions
This lesson covers the definition of algebraic expressions and their components, including terms and coefficients. It explains how to identify like terms, perform arithmetic operations on similar terms, and simplify expressions by inserting or removing brackets.
- 20:52 “Like it says here. Multiply 3 by the second term, like I explained earlier, and you get 3b. At the end of the day, you get 6a plus 3b. More examples. You can solve this on your own. I'll just solve just one of it. Expand...”
- 23:10 “So you have minus 2 into bracket 3m plus we have minus 2. So you bracket it out. 5. So minus 2 times 3m is minus 6m. Now you should remember the rules of multiplication, the rules you use in multiplying addition and subt...”
- 03:55 “Plus 2 is another term. A term can be a single number, positive or negative, or a variable, one or more numbers and variables that have been multiplied together, terms by terms, and are separated by addition or subtracti...”
Linear Inequalities in One Variable
This lesson covers linear inequalities in one variable. It includes identifying, solving, and representing solutions of linear inequalities on a number line. Word problems involving linear inequalities are also addressed.
- 22:13 “us 20 divided by x, okay, now bring them together, this is 25 divided by 2x, remember, because we said it's twice, bring them together, bring them together, the two ways is not less than, it's not less, it's not less tha...”
- 07:30 “what do you do, you collect the light time, so I have minus 6x, that give us 40, that's 36 plus 4, less than equal to minus 8, x minus 10, okay, so we have categorically, what do you do next, you find the additive invers...”
- 26:28 “like this, take note that the sign can change if it is division, okay, thank you very much for watching, my name is Oyase Sunday, till next time.”
Gravitational Force and Fields
The lesson covers the concept of gravitational fields and the laws of gravitational force as proposed by Isaac Newton. It explains the relationship between masses and the distance between them in determining gravitational force.
- 23:31 “this as F is equal to 6.67 times 10 to the power minus 11 times, this time this we give us 42, 1, 2 we give us 1, 2 over 0.2 or square, now from this side I can take care of this as 1, 2, 2 or this one we are taking off,...”
- 24:19 “here, now let's get this, 6.67 times 42 times 10 raise to the power, let's have this 42 times 6.67 or give us as we have this 28 0.14 times 10 raise to the power minus 9, over”
- 25:13 “now let's get 0.2 times 0.2 give us 0.0.04, now 2.8 points 1 for divided by 0.04 now give us, now give us our fourth is equal to 7.003.5 times 10 raise to the power minus 9,”