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.
- 03:08 “So, we have, from zero, down to infinity. So, now we continue. What are integers? Now, integers are like all Numbers. They are like all Numbers, but they include negative Numbers. So, what are the difference between the...”
- 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...”
- 07:46 “Multiply by another ten. One, two, three, four, five, six, and seven. So, I have seven. Now, it means that I could just simply say that this is 10, super one, super two, super one, one, one, one, one, one, one, one, one....”
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
- 20:47 “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...”
- 12:13 “what do we have, what do we have, we have, we have, okay, we have two, two into five, oh that will give us two five, two into five, 88 will give us two, nine, four, now, can two, two again, we give us one, two, six, two...”
- 00:00 “Hello my name is Oyase Sunday, I'm taking you mathematics the Jss 3 2 class we have an interesting topic for you today, that is the whole numbers part 2, I'm not the series 2, we looked at the series 1, we looked at fact...”
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...”
- 14:01 “Seven before the point. Two after the point. After the point is vital. So I don't want to have one, two, three, four, one, two, three, four. So I have, so, one, two, one, two, three, four, five, six, seven. How do you go...”
- 18:37 “we have to go and borrow from one. So you borrow from one, you send it here, that becomes, if you send it here, that becomes plus two, no longer zero, plus two, you send one of the two here, that becomes plus one, becomi...”
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.
- 06:29 “We have 2 left. That means, in 10, we can have an 8 in 10. So, we have 1 here. 4, 10. So, we have 2 left. So, look at that 2 now. We see that 4, the next number on this upper course is 4. Well, look at that. We see that...”
- 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...”
- 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...”
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.
- 02:30 “one, zero, one, one, one, one, one, so we have one, zero, one, one, one, one, one, one, one, one plus one is one and zero plus one, this, right one, take one to the next column, one plus one is what, ten, that's one and...”
- 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...”
- 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...”
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.
- 07:12 “Use the method in example one to represent the numbers from one to twenty in base two in a paper abacus. So for each number, you're going to do this. Group them into eight, four, two, and one. We have done number nine fo...”
- 08:51 “So let's group into eight, one, two, three, four, five, six, seven, eight. So this is, this is our eights count us. So we have those two lefts. So having two left, we have a group of eights, then two lefts. Now from here...”
- 09:39 “So yeah, there's nothing here too. Okay, yes, two, we have two. So I write one for two. So this two is now gone. We don't have nothing left. So nothing here. So for our base, for our ten, the equivalent in base two is on...”
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.
- 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...”
- 07:57 “multiply. Now going to this process it's it's easier so let's take it up. So what do we have? Remember before digit one times one one times one sorry one times one one one times zero zero one times zero zero one times on...”
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.
- 01:42 “They're natural numbers. They include the positive counting numbers. So you talk about your 1, your 2, your 3, your 4, your 5. As far as this is positive and this is counting number, it is called a natural number. Take n...”
- 00:10 “Hello, I'm Oyase Sunday, and I'm taking Matamatics JSS 3 class. We're treating an interesting topic for today. And the topic is rational and non-rational numbers. We're taking it from the numbers and numerations. Now wha...”
- 08:46 “In on-dread. So I will just simply have it as 3 over 100. Like this. So I have 72%, that's 72 by 100, 120%. And what are the percentage? So in all categories, they all fall on that award. The rational numbers. Now, movin...”
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...”
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.
- 05:34 “You can as well be, for example, for four apples. Instead of just one plus one plus one, you can still say four times one apple. It is the same thing. It gives you the same four apples. So that means, apple in four place...”
- 02:23 “Another example is minus 3m minus 7n plus 2. This is also an algebraic expression. I'll move on to terms. Algebraic expressions are made up of terms that are separated by an addition or subtraction sign. The algebraic ex...”
- 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...”
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.
- 01:43 “a, f, and m. A defines the set to be odd numbers from one to 21 and f defines the factors of 30 and hem defines multiples of four from up to 40. So we have the sets A, which is the set of odd numbers from one to 21. So w...”
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...”
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....”
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.
- 18:06 “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...”
- 25:15 “From the extra. Now, what are the number of boys? We have it as two, two X plus what's the number of girls? We have it as what? X. Equal to 360. So, I have two X plus X. Remember? That gives me word, three X equal to 360...”
- 22:49 “There are twice as many boys as there are girls. Now, every word problem gives you an insight to what you want to do. But technique, that means in that school, there are boys and there are girls. But there are twice as m...”
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,...”