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...”
- 07:51 “Let's trace it out. What would be the possible common factors between these things? The possible common factors that can pick up, pick out themselves. Looking at it carefully, what do we have? We have 3, top up, a 3. We...”
- 10:11 “It will give you a broader idea on how to solve the question categorically. Well, going further, there's a need to observe that in these three, if you look at these three carefully, first of all, find out what, what can...”
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.
- 18:13 “That's 10 times 10. 10 in two forms. That's 10 times 10. 10 in two form. 10 times 10. 10 times 10. Now, going forward, we have that gives categorically equal to 3.14.1.6 divided by 10 times 10 is 100. 100. So, we have 3....”
- 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...”
- 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...”
Measures of Central Tendency
This lesson covers the measures of central tendency, including mean, median, and mode. Students will learn how to calculate these measures using given data sets. The lesson also explains how to handle data with and without frequency.
- 24:14 “all over 2 times 2, and that will give us 6 plus 7.5 minus 7 will give us 0.5. So 0.5 all over 2 times 2, this we can't do this, so we have 6 plus 0.5 and that is 6.5. So therefore our Q3 is 6.5. Now, how to find the 7's...”
- 27:41 “all over F, 4, everything times 2, we have 4 plus 4 all over 4 times 2, so this would be, if you consider this we have 1, so 1 times 2, that would be 4 plus 2, and that is 6, so therefore, our d 7, the 7's total, d 7, wh...”
- 11:11 “And how do we calculate the medium? Medium will be calculated when the number is arranged in ascending order. And this is already arranged. It's already arranged in ascending order. You can see. And that is, we have 0, 1...”
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.
- 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...”
- 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...”
- 03:10 “in the form of two raised to power x. So we have two raised to power x equals two raised to power five. Two raised to power five will give us 32. So we have, and you can see that we have the same base. Since we have the...”
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.
- 02:23 “sweets you have data and then you spend it on transport. So you can easily represent this with Z, represent this with D and represent this with S. So for your 500 NARA, this is, to know how much is left every month, say...”
- 19:25 “We've come to the end of today's class. Thank you so much for watching. My name is Dorkas Aoye, till next time.”
- 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...”
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
- 30:51 “So what do we have? K multiplied by... What is the old one that you have? You have 1.5. It is the old one. The old one is given to be 1.5. 1.5. So remember, we have gotten our K. What is our K? Our K has already been arr...”
- 25:22 “these 2, if it cannot be in this form then your answer is wrong, now the last part is applying it to water problem, how do we apply it to water problem, how using your scalar factor to solve a problem, olatical wants to...”
- 12:43 “that goes second, the shortest side. So, you see, the shortest side of the bigger, shortest sides, shortest sides of the small, the smaller one, of the small, now, now, if you look at it very well, you could also go back...”
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...”
- 20:04 “and we have G and we have to find A or D union F we have to find D intersection F we have to find D intersection G complement and we have to find G complement. So the int has been given also least the element of universa...”
- 05:51 “And that's give us nine. Also, let's look at the example number two as well. Example number two. We are to list, list the members or elements of the following sets. Our A is x such that five is less than x or less than e...”