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.
- 16:32 “four one one multiply by one zero one evaluate one zero zero one one multiply by one one one thanks for watching my name is Oyase Sonde till next time”
- 09:48 “so I left a space so I have a addition I have okay one I have I have zero plus one one zero plus zero zero one plus zero one then I have one but still let's flip up the space okay now we still have this left how do you t...”
- 11:23 “around it working around it gives you a better process on how to solve questions relating to it Okay question number three question number three now says solve so we're solving one zero zero one and I have one one one mu...”
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.
- 06:22 “The same principles apply in algebra. But remember that in algebra, we use a letter of variable to represent a number. For example, a plus a plus a plus a is the same thing as four multiplied by a. In algebra, we normall...”
- 20:00 “multiplied by b. So we have 3 times 2a is 6a, 3 times 2. This expression is the same as 3 times 2 times a. Remember 2a is the same as 2a. So in our algebraic expression, you can multiply all these together. 3 times 2 tim...”
- 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...”
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...”
- 07:05 “Like 2 multiplied by 3 multiplied by a square, that means a is 2. By a multiplied by a multiplied by a b. Now, we go for the second one, that's 15. I have 15. What are the possible factors of 15? I know the ba is the squ...”
- 06:15 “Now, 12 a square b, what are the common factors for 12? The common factors for 12 are what? They are 2 and 2 multiplied by 2. They're multiplied by 3 multiplied by 3. The question is, why am I multiplying it by 3? Becaus...”
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.
- 03:09 “can easily be put simple. The entire word here can just be put simple, simply like this, with algebraic expressions. Use footsteps in solving world problems with our algebraic expressions. For example, you have three con...”
- 03:58 “That is X plus five. Because I haven't mentioned how much I earn. So how much I earn can be represented with X. So if how much my brother earns is X, or X in the era, and I say I earn five NARA more than my brother, that...”
- 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...”
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...”
- 06:18 “two raised to power x or raised to power two. We use what we call the power law yeah. So minus six raised to power two raised to power x plus eight equals zero. So let's why equals two raised to power x. So it means wher...”
- 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...”
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.
- 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...”
- 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...”
- 16:04 “you calculate your worth, your total cost, please take note, your total cost here is going to be worth, it's going to be fixed cost, plus worth, plus variable cost, okay, remember the first one I get to you is worth, is...”
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...”
- 05:10 “So, let's get the words, the solution to these words, so this interesting question won't have to the other. Look at the board, here you have what, P is on the wall, it's first on the CR, remember the formula I give to us...”
- 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...”
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.
- 02:30 “And now we are given the number 5. Okay, now these are the powers of 2. So, if it is good, you get familiar with them as you convert numbers in base 10 to base 2. Okay, now we are given number 5 to convert to base 2. So,...”
- 04:07 “So, what do we do? We write 1 here, 4, 5, then we have 1 left. So, I remember right now, the next power is 2, but we know that 2s is 1. So, we can have anything here, because it's not possible, we get 2 from 1. And 1 is...”
- 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...”
Addition of Binary Numbers
This lesson teaches how to add two or three-digit binary numbers. It covers the basic rules of binary addition, including carrying over when the sum exceeds one. Several examples are provided to illustrate the process.
- 05:43 “plus one, the same thing, here. So we have this answer. Now we have the exercises below for you to do for mastery. We have calculated for low in in base two, one and one, zero, one, one, add them together. We have this o...”
- 04:05 “in our previous class, that our binary numbers are only two digits, one and zero. So that's as our answer for that. So three, we asked to add up one, zero, one, and one, one, zero. So we have one, zero, one, one, one, ze...”
- 01:37 “give you one and zero. Write this one, then take the other one, carry the other one to the other side of the next column, one plus one, we give you ten, sixty, one and zero, the right one, then take one to the next colum...”
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
- 11:57 “smaller one, what longest side of the smaller one, that's 9. Because of this point, decimal place, you multiply by 10. So, when you multiply, because of the decimal place, to take it off, you are going to be having 2.5,...”
- 23:43 “triangle, BAC, that's remember from the scalar, from the scalar that we meant comparison, now you will see why the scalar of 2 can also be checked, so that gives me 384, the bigger one, over 96, now if you look at 96, so...”
- 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...”
Counting in Binary
This lesson teaches how to count using the binary system, which uses only the digits zero and one. Students will learn to represent numbers in base two and understand the place values associated with binary digits. Activities include grouping counters to illustrate binary numbers.
- 02:33 “We use this paper abacost to improvise. I don't know if you've seen an abacost in real life. We have 8, fours, twos, then units. Okay, then we have one here, nothing here, one here, one here. I would like us to do this t...”
- 05:40 “So what next are we asked to do? So we asked to represent this on a paper abacus. So on a paper abacus, let's draw abacus. A paper abacus. Let's draw a paper abacus. Um, we have eight, eight, we have fours, then we have...”
- 04:52 “One, two, three, then four. Then I have one left. Okay, let's continue the activity. Then next one now is to group them in eight, four, two, and units. Okay, let's see, let's do that now. We've grouped this into, now let...”
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
- 14:44 “that nitrogen with balance, nitrogen with balance A. My hydrogen is balanced, my nitrogen is balanced. The next I need to balance is oxygen. How many oxygen do I have now on the product side? I have 3 A, 2 A, making 5 ox...”
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.
- 41:43 “And we multiply it, we have got E minus V is equals to 1.01 times. Now, we have got us as votes. We have got to take this one as an evolution. Thank you for watching with us. I am M N N D John. See you in the next class.”
Trigonometric Ratios
This lesson covers the identification of sine, cosine, and tangent of an acute angle. It explains how to apply these trigonometric ratios to solve problems involving distances and lengths in right-angled triangles. The relationship between the sides and angles of triangles is also discussed.
- 10:10 “I have what's my tan. I would just simply say my tan 35 degree. My tan 35 degree from this. My tan 35 degree would just simply give me 35 degree would give me what's my BC. My BC is what? X from the diagram. My BC is X....”
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.
- 19:01 “Now, with these two examples, we will give you an idea to what pi equation or pi really means. Now, you have some questions, which I expect you to do. You have said calculate 16 divided by 9 in 3 decimal places. 16 divid...”