Subtraction in Binary Numbers
This lesson covers the subtraction of two 3-digit binary numbers. It explains the four basic rules of binary subtraction, including borrowing when necessary. Students will practice solving binary subtraction problems using these rules.
- 00:00 “Hello, my name is Oyase Sunday. I'm taking you to Mathematics JSS 3 class. We have an interesting topic for today. A topic is subtraction of numbers in base two numerals. A subtraction of numbers in base two numerals. Th...”
- 06:24 “But when it's coming it's a plus one. But it appears here as plus two. That's the base. It appears as plus two. So take note of it becomes important. It's not appearing here as a plus one. But what plus two? So we now ha...”
- 02:24 “One. That's your topic. It becomes very, very important. Two. One subtracted from zero. That's one minus zero is equal to one. Very important. Three. Says one minus one is equal to zero. Very important. One minus one giv...”
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.
- 19:20 “Or you will subtract equation 2 from 3. Now I will subtract 2 from 3. Or 2 from 3 or 3 from 2. In our way, then you are OK. But now I am going to subtract equation 2 from 3. In equation 3, I have 5 over 2P minus P. Plus...”
- 05:04 “But I will give you what? 2R minus instead of Q. That changes to what? Open bracket 8 minus 2R plus 2 equals to 0. Now, we have an equation. What we are going to have in negative outside of bracket? Be careful of negativ...”
- 16:14 “I have a addition here. Maybe you have been told that when the signs are the same, you stop right. When the signs are the same, it is different. It is good. But just note this. 8 and 8. In order for 8 and 8 to go, I just...”
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.
- 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...”
- 23:59 “So minus 2, let me just go from here, minus 2 times plus 5 should give you minus 10. So 2 times 5 is 10 here. We have plus sign here, that's minus 10. Remember plus times minus is minus and you have 6m, minus 6m, plus ti...”
- 22:23 “10 times b is 10b minus 2 times 3 is 6. 6 times c is 6c, 6c. So we have 2a plus 10b minus 6c. So this is the answer to this. I believe you should be able to solve the rest. I'm just going to go through one more example t...”
Exponential Equations
This lesson covers the definition and properties of exponential equations. It explains how to solve exponential equations of linear form by ensuring the bases are the same. Examples are provided to illustrate the process of finding the unknown variable in these equations.
- 05:30 “with this we have minus x minus one equals two. And this would be minus x, we collect the like times, we have minus x equals two plus one. Our minus one will be called plus where we transfer this to the other side. So we...”
- 07:10 “Then two is common minus two is common here we have minus two into bracket y minus four equals zero. We can see that one minus four is common between these we have y minus four into y minus two or equals zero. So it mean...”
Translating Word Problems into Equations
The lesson teaches how to translate word sentences into mathematical equations. It covers the use of variables to represent numbers and how to express word problems as algebraic expressions. Students will learn to solve simple equations and check their answers.
- 14:30 “And you may not use inverse operation. Let me teach you this. You can't go like this. Once you have something like this, you want to always find a way to make the one with a variable alone on one of the sides, making it...”
- 13:44 “And the first of the three numbers is A, as it is C in A, determine the rest. These are the rest, but what is the value? That is what we want to get now. Because we can get the value. See, let's see if we can get the val...”
- 18:37 “A pencil costs 5 Nara more than a ruler. The price of a small exercise book is twice the price of a ruler, calculate the cost of 3 pencils, 2 rulers and 4 exercise books. So you have like 3 variables in this word problem...”
Converting Base 10 to Binary
This lesson teaches how to convert base 10 numerals into binary numbers using two methods: subtraction and successive division. Students will learn to identify the powers of 2 and apply them in the conversion process.
- 05:41 “How do we do this? The same method, using the subtraction method. So, let's write all, let's draw a... Okay, let's better still group them into 2s. Because we have 8, we have 4, we have 2, then we have 1. So, we have num...”
- 03:18 “So, we are given the number 5. Remember in our previous lesson, we counted these numbers, then we decided to group them in 2s, then in 8, and so on. So, for number 5, using the subtraction method, we look at our paper ab...”
- 08:47 “So, 7 is not even up to 8. So, there's no need of words counting or trying to write 1 under 8. Don't be need for us to do that. So, let's count, there's no need of counting this time, Asian. So, a special method. So, not...”
Revenue Types
This lesson defines revenue and explains its three main types: total revenue, average revenue, and marginal revenue. It covers how to calculate each type and their relationships to production and sales.
- 08:55 “so it's going to be P minus 30, over changing quantity, under that same P, what is it going to see, 6, okay, so you say, 6, minus 5, 6, minus 5, so your 1 equals to words, equals to P minus 30, over 6 minus 5 equals word...”
- 11:28 “which is what, change in CR over change in quantity, so what do I do, I would say, this minus this, that's 24, minus 28, it's over, what's the quantity, it's minus 7, it's minus 7, okay, so what do I do, transform minus...”
- 19:02 “Total revenue is what? 30. Minus total cost is what? 25. Can you see? 25. So the difference between this and this is what? Five. So ladies and gentlemen, this is our profit. Can you see? Very easy. See R minus CC. That i...”
Cost of Production
This lesson covers the concept of cost in economics, focusing on the cost of production. It explains different types of costs, such as fixed and variable costs, and discusses the factors of production that contribute to overall costs.
- 25:58 “okay, over changing quantity, anything marginal, the first line is always dash, you can see, here, for the first unit is dash, so you start from the second one, very easy, even without capital it or you can do this, just...”
- 22:42 “a, b, c, d, a, and f towards, to high, so we need towards, we need to get the missing figure, how do they get this missing figure, a, b, c towards, to i, how do you calculate it, so without wasting time, let's go to the...”
- 24:19 “multiply by words, the quantity, the quantity is the same thing as the output, so it trades it to your A, okay, trades it to your A, what do you have, three, so six times three, give us what, 18, and that's how you have...”
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
- 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....”
- 11:22 “that means I'm gonna have X minus five into X plus four equals zero. So when I have that, what comes out is this. In the same vein, I can expand. You can just write for your teacher to know, expand. So your teacher will...”
Whole Numbers and Their Properties
This lesson covers whole numbers, including their definition and characteristics. It explains how to express whole numbers and decimal numbers in standard form. The lesson also includes finding prime factors, least common multiples (LCM), and highest common factors (HCF) of numbers.
- 17:50 “and how do I do that? Now, this is 1 over, okay? 1 divided by this. I need to convert this into multiplication. How do I do that? That's the first question. How do I do that? That this one is bit, how do I do that? It be...”
- 18:36 “this is moving up, it becomes a minus. That's negativity. Take notes. It becomes very important. It becomes very important. Now, looking at it again, another example that we have in the part of division. So, you could ha...”
- 08:35 “mean that 10 is expressed in seven places, seven places. So, when I multiply it back, I could always get back my answer. Now, also have another example, two. Now, looking to example, two, like I said, forward movement. H...”
Distance and Displacement
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.
- 07:20 “But since these two vectors are in opposite direction, it is very easy to subtract and get the resultant displacement. So this is going to be 250 minus 105. And after subtracting, we have our results to be 145 miles. And...”
- 03:12 “from point P to point Q. This is the object, it's moving from point P to point Q. If we want to calculate, if we take the distance of this one to be 3 km and we have another object B moving on the same point of reference...”
- 06:28 “We have John traveling for this, that is 250 miles. And it's going back south, which is 105 miles. That is in the south direction. This is going in the north direction. If you actually want to find the displacements goin...”
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.
- 17:38 “by the side I know that my sum is b over 8 and my b is minus 2 so I can have one over 4 squared okay minus I know my what it is alpha beta which is my product to be 3 over 8 all right so I can fix in here and write 2 int...”
- 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...”
- 08:28 “I multiply by 5/8 so let me do a clear job for you. If I multiply by 5/8 okay that can lead me to 1/4 times 8 okay. I mean -B/8 times 8 so it costs away I can have -B to be equal to 2 and eventually if I want to get my B...”
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.
- 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...”
Multiplication in Binary Numbers
This lesson covers the multiplication of 2-digit and 3-digit binary numbers. It explains the basic rules of binary multiplication and how to apply them in calculations. Students will learn to perform binary multiplication without borrowing.
- 14:52 “down I'm going to be having one zero zero one so final answer you are adding up so add up I have one one it's coming down one now one plus one that's two so that's two divided by two that gives us one remainder zero that...”
- 15:40 “transferred to this place so that gives us plus one yeah plus one one plus one that's two we turn back here that gives us zero that what do I have then I have the last one transferred yeah that's plus one so plus one plu...”
- 00:00 “Hello, my name is Oyase Sonday. I'll be taking you madmatis jsS3 class. We're looking at an interesting topic for today that says multiplication of numbers in base 2 numerals, multiplication of numbers in base 2 numerals...”
Electric Cells and Current Electricity
The lesson covers the types of electric cells, including primary and secondary cells. It explains the concepts of electromagnetic force, current electricity, potential difference, and resistance. The arrangement of cells in series and parallel is also discussed.
- 39:50 “The current is the total current that flows through the circuits. We have 1.07 times the resistor, which is 2.5. In the parallel pleats, 2.5, in the parallel pleats, we have V. Ok, let's use our calculator. From the calc...”
Measures of Central Tendency
This lesson covers the measures of central tendency, including mean, median, and mode. Students will learn how to calculate the median, find the mode, calculate the mean, and determine the range of a given data set. The lesson emphasizes the application of these measures in analyzing data.
- 20:34 “of the value, highest minus lowest. So, when I have this behind, so it's a goal. Now, if you look at the first set of data, what's the lowest? The lowest my range would give me the lowest here, the highest in this set of...”
Chemical Symbols and Formulae
The lesson covers the symbols of the first 20 elements and how to write chemical formulae and equations. It explains the differences between elements, compounds, and mixtures, as well as the concept of radicals and valency. The laws of conservation of mass and constant composition are also discussed
- 09:08 “for ordinary compounds, the summation is zero. 2 times 1, 2 plus 4. 4 times minus 2 is minus 8, equals to zero. Sofor take our collect-like terms, take the numbers to the other side minus 8 to the other side of the compo...”
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,...”
- 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,”
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.
- 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,...”
Equilibrium of Forces
This lesson covers the concepts of static and dynamic equilibrium. It explains resultant and equilibrant forces, the moment of a force, and the conditions for equilibrium under non-parallel forces. The lesson also discusses the center of gravity and its effect on stability.
- 22:07 “the subduer formula, which is 30 times 6 divided by 14. So our F equal to 12.9 newton. So our force F equal to 12.9 newton. Mind you, we derived an equation based on the law that the sum of the forces acting upward must...”