Transcript for:
Problem Solving Strategies in Mathematics

Good morning, good morning, good morning, good morning! Here we go again for our day number four in Mathematics in the Modern World. Hello, hello! It's heart-to-heart when you eat lunch.

Did you eat lunch? I'm going to finish my Alpacel I'm going to finish my Alpacel I'm going to finish my Alpacel I'm going to finish my Alpacel I need to finish my Alpacel I need to finish my Alpacel so my energy won't be gone so my energy won't be gone I will teach you the best lesson If you haven't eaten yet, you can eat while you're sleeping Don't worry because our lesson today is easy It's easy for me, I'll just leave it to you Just study, it's easy What's happening for today is all about different strategies and problem solving and applying the make a table and final pattern strategies and problem solving. Sir, it's all about problem solving.

It's all about problem solving. That's how it is in mathematics. It's all about problem solving.

I will give to you. Of course, we have two objectives. Understand the make a table and find a pattern. Apply the make a table and find a pattern of course. Which is the strategies and problem solving.

Alright, how are you? Just type 1 if you are happy, just type 2 if you are shocked, number 3 is are you scared, number 4 is are you crying, number 5 is are you sad, are you feeling something, are you scared? I'm thinking and then number 6 is who's in love with her? Number 6, type 6, who's in love with her?

Angelica's sad Angelica, what is that? Is that a nut? A nut?

Ah, a nut It's a nut You guys are getting nut? Mixed Emotions Posture It's called It's called Mixed Fractions In Mathematics, there is a Mixed Fractions But in real life situation, it's applicable In real life situation Who's in love with her? Who's in love with her?

Type 6 Who's in love with her? Lyra is a funny person No one is laughing at what I'm seeing Lyra is a funny person Lyra I said, what? Happy? What's there?

Is there laughing? There's nothing. Why is there something? Is there a thumbs up? Is there a clap?

Yes, yes, yes. There's nothing. I hope that you guys felt something from this video. I hope that Dr. Heart helped you guys. If that's all you need, you can continue with your life.

Always remember that in your studies, it's hard and the burden of education is very good. And of course, when it's fruit, it's sweet. Always remember that it's the wealth that you don't need to steal from you that your parents will raise. So, continue with your studies even if it's hard.

So, don't get too excited about the problem. Okay? Alright?

Did my phone go out? Hello? It's gone. So, I'll just have to part-tap it guys.

If I still have the powerpoint because it's gone. Hello? I don't know if you can hear me.

There. I'll turn it back on. There, it's back to normal.

Okay. What's up Icebreakers? Alright.

So who will be the first to answer? You can see there, right? The student is there.

We have a jeep. A travel guide. Okay? If you know the answer, raise your hand, get your name, and I'll send you to the prison. I'll make you flutter.

Alright, look at this. They said, students, you have to get on the jeep. There. You have to get on the jeep. Whoever wants to recite, raise your hands.

Raise your feet. Shake your body. Blah, blah, blah. Raise your hands.

If you want points, raise your hands. Last Kamay! Sino? Madali lang ito! Sino?

Sino magre-recite? Mamaya ko ibibigay yung question. Kailangan muna tawagin muna natin yung magre-recite. Bago yung question.

Balik! Sino? Balik! Takoy ng tao eh!

Who's resigning? It's easy. It's Katrina. Who's resigning? Vincent.

Vincent. Hello. Open your mouth.

Sir. Vincent. Will you try to ride a jeep? Sir, yes. I thought you will ride a car.

This is new. Okay, Vincent, you are going to go to Yupang. Where is Vincent from?

Singan, sir. Singan? Yes, sir.

Vincent is from Asinggan. Vincent, you are in Asinggan. You are going to Lumpang and Asinggan.

They have a Jeep to all. You will ride a Jeep. What will you do when you ride a Jeep?

What will you say to stop it? Stop the Jeep. Sir, para po.

No, you will just ride the jeep and stop. The jeep is already there, what will you do to stop it? Manong, stop the jeep.

You're so funny. Raise your hand. You're so funny. Vincent, raise your hand.

Very good. Raise your hand. When you raise your hand, what will you do?

Sir, what is it? Sir, you're just riding, right? Okay, you're riding.

Now, you're riding. After you're done riding, what will happen? You'll sit, right? Yes, sir. After you sit, what will be touched on your body?

Sir, what will be touched? Yes, of course, you'll sit, right? Yes sir Your back, your legs will be touched And of course your back Your back will be touched when you're in the gym, right?

Yes sir Katrina, you're so good You're the only one who's trying Okay, so Vincent will ride in the gym Sumandal si Vincent sa jeep Okay, let's say Vincent is in the jeep Sumandal si Vincent sa jeep Okay, and when you arrive, what will you say? Prepare for the flight What did you forget? Sir, pay Pay, ok I have a question Are you ready?

Yes, sir What did you bring in your jeep? Sir, bag You're not allowed to talk, you're being too much. You're being too much. You're being too much, Jai. Jai, you're being too much.

I'm being too much. I'm being too much. You're being too much. You're being too much. You're being too much.

Sugar, Oliveros, Papansin, Oliveros, Oliveros, Papansin, Papansin, Papansin, Papansin, Papansin, Papansin, Papansin, Papansin, Papansin, Papansin, Papansin, Papansin, Papansin, Papansin, Papansin, Papansin, Papansin, Papansin, Papansin, Papansin, Papansin, Papansin, Papansin, Papansin, Papansin, Papansin, Papansin, Papansin, Papansin, Papansin, Papansin, Papansin, Papansin, Papansin, Papansin, Papansin, Papansin, Papansin, Papansin, Papansin, Papansin, Papansin, Papansin, Papansin, Papansin, Papansin, Papansin, Papansin, Papansin, Papansin, Papansin, Papansin, Hi everyone, I'm Masahawin from UDVeros I'm here with my friend I'm here with my friend, my friend, my friend My name is Risa My name is Risa I don't know how to call you Okay, here we go Look at this We have two triangles there. What you will do is, to make it a triangle, I mean, a four triangle, I will just move one. For example, this is one, two. You already learned that. I just learned it.

No, we're done here, Sirin. Sorry, sorry. I already said that? Sorry!

Don't get mad! I forgot that. I already said that. I don't want to repeat it.

It's better if we repeat it. It's worse if we repeat the same thing. It hurts. eight eight five eight fifteen thirty thirty four thirty four sir fifty five 144 What about 13?

233 What about 377 Okay 15 means 610 610 Then, what about 16? 100 nine hundred nine hundred eighty seven one thousand five hundred 500. 1, 5, what? Next number?

9, 7. 9, 7. Thank you, sir. What's the next one? What's that?

18? 19? 18. What's the next one?

  1. 2, 5, 8. 2, 5, 8. 2, 5, 8. 2, 5, 8. 2, 5, 8. 2, 5, 8. 2, 5, 8. 2, 5, 8. 4. 19. 4, 1, 8, 1. 4, 1, 8. one okay six seven six five search six seven six so there you can search those those will come out but in the exam or in the exam you can't search look, we will let those come out this is the first first 10, this is up to 20. That's by 10. Look carefully. I will use our formula. I will use either of the two.

But for me, it's better to have... right side good thing on the other hand a fraction of the last square root of 5 I love a simple and 20-20 at the close that was raised to end the bangin up not a straight lot and I'm gonna make it a new population one air 20 So we have 1 minus 1 minus, I stopped because I have some that I am admitting Next is 1 minus square root of 5, close it then raise to 25 again, 20 because we are counting 20 Then at the bottom we have 2 Raise to 20 again Then don't put times Square root of 5 first So if our formula number 2 Because our formula number 1 is the one with 5 The one with golden ratio right? This one next is It doesn't have golden ratio anymore So we will see if it is more accurate or better to look at. But it needs to be memorized.

If we will get the 20 which is 6765, it is better to use the second one. Are the answers the same? Hello?

Are they the same? Yes, sir. Alright, so I will try the first formula that I told you before. Let's try the 20th curve first. The final result is 1.618034 raised to 20 squared minus open contract.

quantity 1 minus 1.618034 raised to 20 Now, at the bottom, let's do it as a square of 5 only So, the whole number, always express your answer in the whole number So, is the answer the same? No But, which one is more accurate? Number 1 or number 2? This is number 1. This is number 1. What's more accurate? Number 2. Number 2. When we talk about mathematics, the most accurate is the number 2 formula.

Why? Because it doesn't have decimal skets. Yes, we are okay with the shortcut. Yes. Alright, so let's move on to the next one.

Last time we discussed about the four steps in folio. as problem solving okay the first one is start with letter u answer understand the problem number three or a apply or action how about four which is like the letter c or letter r we check check In understanding, you're going to understand the problem. You need to find the given. You need to determine what are the necessary and unnecessary in our P plan. That's the time.

you're going to let let identify what is the operation and you're going to break down the numbers into bigger from bigger to smaller just like a deductive reasoning and number three naman planning you are about to write your equation after the planning you're going to execute the plan and that's the doing or action that's the time that you're going to solve solve solve na and number four after getting the values of x depending on the variable but most of the time x after getting the value of x you're going to test or check or checking and then always get the original equation and you're going to substitute the value that you got x and then if they're the same they're equal that's what we call checking okay problem solving review so last time i gave you a problem The sum of the ages of father and his son is 48 years. The father is 3 times as old as his son. So, we're going to find their ages. Okay.

Dito, you need to understand that father is as old as his son. We're going to let x. x is represented as years.

So, itong x na yan is the son's age. Okay. So, yun yung edad ni son.

So, ibig sabihin hindi natin alam yung edad niya eh. So we will convert it to x. If x is represented as years, we are going to convert 3x to the father's age.

Why? Because if x is represented as years, so this x is the father's age but you should put 3 because 3 times 3 is 3. three times she is older than her child okay and then this is the planning this is the planning and this number three this is the execution of the plan you need to know what is our equation here so since Nabanggit doon yung sum, dapat yan. Ayan, x plus 3x.

And kapag may nabasa kang is, that is equivalent. Okay, this is is. This is equivalent to equal sign. And that is equal to 48. Ibig sabihin, kung mag...

If you observe the question, you should divide 48 into 2 where 1 is 3 times bigger. Okay? We have already answered here.

The answer is 12 and 36 which is correct because 12 times 3 is 36. See? 3 times older. This is the process.

Okay? You need to add like terms. Combine like terms.

This is the formula. before x is equal to 48 so, to get the value of x you should eliminate you should always eliminate the value of your x to get the answer if the value is 12 it means that all the x that you see that you let you will change it to 12 so our answer is 12 and our answer here is 36 and if you add that it is equivalent to 48 you work So, the fourth step of POLYA is to get the original equation. This is the original equation, right?

So, you just change 12x plus 3 times 12 is equal to 48. So, this will be 48. This is equal to 48. That's what we call POLYA for four steps in problem solving. And the other term for POLYA steps in problem solving is the the general strategy. Because in our part, this is how we solve.

General strategy. All polya, four steps in problem solving. Let's do heart-heart if we're okay with example number one. Heart-heart-heart. Katrina is the first.

Heart-heart-heart.. I'll just go to Netflix In a blueprint Look at this In a blueprint of a rectangular 100 meters The length is one more than three times the width find the dimensions if the perimeter is to be 26 inches So we're going to let, we're not going to let x, but w is magiging width. Okay?

Ngayon naman, yung length natin daw is the length is more than 3 times the width. So, there is a word more than. Diba? Kapag more than, is you're going to interchange. Right?

So, magiging natin dito is the length. The length is what is the answer? 3. The length is 3 times the width. O. Parang yung kanina.

Diba? Sabi nya dito. 3. times as old as the Sun so pinagtabig yung 3x ito naman 3 times the width so 3w plus 1 because the word 1 3 times the width plus 1 which is our length and we are looking for the perimeter and the perimeter of a triangle is 2 length plus 2 width ano ba ang perimeter sir?

di ba you're going to get the perimeter is 10 into 5 so get the perimeter you just only add all the sides so the perimeter of this one is 30 that is the formula of perimeter of a rectangle so since we already know the basic formula of perimeter so we have two length and width now our equation we need to translate it okay so our length is 2 length straight 3w plus 1. Diba yung length natin ito? Plus. Tapos meron tayong 2. Diba yung w natin is as is? W natin is with lock.

Okay. So as is na yan. So we're going to distribute.

Distribute. So what is the answer? 6w.

6w plus 2w. next next is add the like themes so you're going to add like terms a w plus two okay Okay, that's the perimeter because there's already an answer to the perimeter. 26, I forgot. So, perimeter is 26. It means our formula is, there's already a perimeter.

So, let's put it. the perimeter that we got is 26. Let's put again what we got here. 6W plus 2 plus 2W.

And this, 26. Let's put 2 on the other side. It will be 26 minus 2 equals 8. 8W 26-2 24 8W 8 3 3 3 3 3 3 3 3 3 3 3 So, if you get the number 2 problem, you can click the heart button. There. So, that's how it is.

I didn't read the 26 earlier. So, 26 is perimeter. It says here that our perimeter is 26. Right? Okay.

You should know that. So that's the formula. It's like you're just doing the substitutes. Okay, next. So John can paint a room in 6 hours and Rudy can do it in 3 hours.

Then how long does it take to paint a room? How long will it take if they both worked? So John can paint in 6 hours.

So let's put 1 here. This is the shortcut here. This is ratio and proportion, work problem or rational equations. So the best attack here is RATION. If you read 6 hours, 1 all over 6 is again.

If you read 3 hours, 1 all over 3 is again. And if you ask the ace, working? together together is you are just going to combine if you combine them you are going to add of course if you combine them, they will be fusion, it will be addition then we don't know why 1 over x will be our representation in working together when they combine together. Now in addition in fraction you must recall that if they have different denominator you are not allowed to add directly you are you you need you must get the lcd first before solving it so for this problem six times three or just simply get the lcd that's six times three six times three or uh applicable just like seven times three seven times five the lcd is 35. but this time since they have in common so get the highest number which is 6 that's the LCD if you get their GCD the GCD of 6 and 3 what is their common the GCD 3 times 2 that's the GCD if the LCD is common then there's no power so that's 3 times 2 which is equal to 6 that's the GCD and LCD so 6 divide 6 is 1 1 times 1 is 1 6 divide 3 2 times 1 is equals 1 all over x so can I simplify it? yes you can 3 all over 6 is equal to x 3 all over 6 is equal to 1 half ok if that's the problem problem meron syang equal sa you must cross multiply so magiging 3x is equal to 6 all over 3 all over 3 so pag nag combine na daw sila ang sagot is 2 hours na lang yun magiging working hours nila so ito yung shortcut naman dito kapag work problem You can use your calculator to make a good shortcut.

Let me repeat, when you are working together, all you need to do is 1 all over 6. Then, plus, then 1 all over 6 so you won't cross multiply. over six then three hours yes working together John and Rudy working when they work together they consume two hours let's look at the question they consume in two hours but When John paint a room, he consume 6 hours alone. If working together, you take 2 all over 1. Because he received 2. He got 1 half of 2. This is our answer. Then, working together, you must subtract.

I subtract because working together has a value. If working together has a value, then that is your first choice. number term in subtraction which is the minuend then the subtraction alone the one that is pink which is 1 all over 6 let's say 1 all over 6 so that is minus, it is always minus This is 11 over 6. So what is SD?

1.8. Nung si Rudy, 1.83. May ito ba? 11 over 6. May ito na dito. Yeah.

The same pareh. May hindi parehas lumabas eh. Hindi parehas lumabas.

Okay, let's try 2. 2 minus 1 all over 3. 1 all over 3. That's 5 all over 3. Why is it not the same? It's just like that. The problem is that the amount is not the same.

their value. It's just like this. Look at this.

The problem is like this. John and Rudy paint the room. They work together. So we have six hours.

the problem is the work is done so it's not exact but the process is what we should know Rudy and JR are gone for 6 hours then when Rudy started working he consumed 12 hours now we will find out how much he consumed alone see jr you know you might be a second but I think you know you know I'm working together which is 106 in 106 by minus 112 is one over 12 yeah 16 minus one over 12 is 12 I'm a lima lima 166 yeah so the bow Silla is six hours minus one all over 12 the answer is seven one all over 12 open the top of John's time will be consumed in 5.92 so that it will not be accurate because when JR works, it should be longer because they work together for 6 hours okay? the concept is like that because it depends on the problem given When working together, you should prioritize it and then you should minus it in the low. Okay? Always like this. Okay?

Next, let's go to the next problem. Let's see if it's clear. So, naman, the sum of the three consecutive add integers is 105. What is the value of the lowest number?

Okay? So, the three consecutive add integers is 105. First, dapat alam mo na ang... the three consecutive add integers are 1, 5 or the basic add integers that we wrote 1, 3, 5, 7, 9 so please observe the pattern so what is our observation in 1, 3, 5, 7, 9 we're talking about add numbers here so anyone from the class what did we observe in 1, 3, 5, 7, 9 Hello? Yes? Open your mind?

May I? Hindi po sila divisible by 2. Hindi sila divisible... Ah, you mean divisible by 2?

Tingnan niyo yung pattern niya. May common difference be... Ah, na- Yes, thank you, Math P. Common difference nila is?

  1. Okay, 2. So, yun yung concept natin dito ha. Kapag may tanong, ang atake dito is the sum of the three consecutive add integers is 1 over 5. So, take the difference. Right?

Two. So, it means, we're going to let X be the first. First at.

It's our first at. our integers. Okay? So, we're going to let naman si x plus 2 is our second add integers. Sir, what is it?

Plus 2 na si second add integers. Ano ba ang difference na binigay nyo kanina sa akin? Diba 2? Hello? Yes, sir.

What did I do here? Plus 2, right? Yes, sir.

So you will add plus 2 here. You will also add plus 2 to the next second add integer. What is the answer, sir?

3, sir. 3, sir. Quantity.

3, sir. He said sum. So let's get sum x plus x plus 2 plus x plus 4 equals 105. I followed it.

We have is is 105. Then he said sum. All three consecutive add integers you add. So what's the answer? What is x plus x?

3? 3x. 3x. Then 2 plus 4?

          1. Okay, divide it by 3. What's the answer? 33. 33. What is the first add number? 33. 33. 33. Is the add number 33?

Yes. Yes. What is the second add number? 35. 35. Kapag sinabi natin yan x plus 1, tama na ba yung sagot natin?

Umali. Kapag sinabi kong x plus 1 yan, tama ba yung sagot natin? Mani. No. x plus 4 because of addition of 2 or the common difference of 2 or just simply add 2 because it's in the pattern okay so do you have any questions in this problem? if not, just be hard hearted be hard hearted if you understand our problem number so many problems like that will appear and this one, John can paint a room There will be a lot of problems like that.

Just follow the pattern that I made here. As long as they work together, you should be the first. then it will be minus then it depends if it is alone 12 hours or that's it okay it's just like that of course you will get the if you will get the time given working together then you minus it to alone okay That's it. Next is...

Alright. So, that's the problem solving for day number 3 because I didn't teach this on our face-to-face. There.

The two are easy. problem that I gave you, the kind of difficult problems, you need to encounter these because in quiz or exam, it's more difficult, that's the kind of attack it has. Okay, next, this one, let's move on to our main lesson again the problem-solving strategy guys is discussed previously now that is what we call general strategy in this section the focus will be the specific process to solve the problem first is the make table method and afterwards we're going to draw a pattern you So, when you make a table guys, you are going to draw a table.

Literally, you're going to organize your solutions through chart or table. Okay? You're going to write all the information to make it organized. Kasi sa atin, minsan, direct solving tayo. Minsan, gusto natin nagdo-draw.

Okay? So, after getting the table, minsan may mga problem na pag-table lang okay na. Pero, may makikita kang pattern. Okay? kasama yan sa ating strategy kasi ang pattern is a regular systematic repetition parang yung mga pronoy, spiral which often occurs in problems where there is a progression of data kapag sinabi mo kasing pattern is finding a pattern or I mean pattern is very powerful tool in problem solving why?

kasi parang ganun kanina ito We can't solve this problem if we don't know the pattern of 2 by 2 add 2. That's the pattern. That's why it's powerful. This strategy helps simplicity or just simply simplify. It simplifies the complex problems and make predictions about the future events or the values that you want to know. Because there is a pattern.

and of course, if you're looking for a pattern that is inductive, please listen look at this, Dave built a bridge using a toothpick so if you continue the pattern, how many triangles are needed to build the fourth bridge? and the fifth bridge? look at this, look at the pattern you can use a table or drawing or you can predict the answer here just see simply use or just simply use the strategy of pattern so what is the fourth bridge and what is the fifth bridge so of course we will make a table for example this is the table so this is the table sorry for my table so this is our bridge so bridge number on the other side that is the number of triangles ok When we have a bridge, how many triangles? Three. When we have a bridge, how many triangles?

Five. Seven. Seven.

What does the fourth bridge mean? Nine. Nine. Eleven.

Eleven. That is the basic of... applying the table table only but if you're going if you're going to observe the answer there is a pattern which is divisible by two or just simply add add two gets yes There are six swimmers on each relay race.

The first team members swims 300 meters. And yung kada team daw is 50 meters less than the swimmer before. Ibig sabihin daw meron silang agwata na 50 meters.

Yung tanong dito... How many meters did the last team members swim in the race? Then B naman, how many meters does each team swim in the race? In all, so lahat daw, ilang meters yun. Ilagay natin dito is yung mga swimmer.

So swimmer yung mga yan, ito yun naman yung distance. this is the distance so how many swimmers do we have? 6? 1, 2, 3, 4, 5, 6 the first team, let's see who opened first okay the first team members swims 300 meters so what will we put in 1? 300 meters you understand the problem each team member swims 50 meters less than so how many is the second?

250 200 200 100 150 what is the answer in number A? The last team is 50. How much is their distance? 200 meters. All of them? 50 meters.

How many meters? 300 plus 250 plus 200 plus 150. 50 meters. 1000. 150. Yes. Good. all right next five students were sitting around the table cards with numbers from 201 to 1000 arranged in order were placed on the table took the first card so jay took the first card and add the second and so on so we will put in the first is maybe let's just follow this c c c f the first word is different i put f jay a and c f so the first card who got the first card jay jay What is the starting point of the card?

201 First question, who received the card with number 255? What does the problem say? It is arranged in order. It means 201 is arranged in order.

202 203 204 205 207, 208. Okay, let's stop. One more time. 209, 210, 211, 212. Let's stop.

Look at 215. Do you still remember the divisibility rule that I gave to you, the general principles during our deductive reasoning? A number ends with 0 and 5 are divisible by? 5 Please observe the table. Can you see the divisible by 5? Yes.

Floor. It means that floor is the answer. So, it's 215. Let's check if it's correct.

If it's correct. 211 212 230 wow you got it right now we have 150 who got the card with number 301 without solving answer G G why because another tip 300 is usually the same floor floor y it ends with zero and these are divisible by five so you look at me this is 300 one one two three hundred three yes all right pick the card with number 998 C-Corn Carl Carl Carl C-Corn Or just simply minus 3 na lang siguro Minus 3 para divisible pa rin sa 5 Minus 3 kayo dyan Where would you put the minus 3? Sky? Jane. Oh, there's still 5, right?

Floor. Minus 3, right? 5 floor. Corn. Corn.

996, 997, 998. So what's our answer to letter C? C. Corn. Follow the paper. Yes Let's clap our hands If you follow his pattern Okay?

Next Okay This is okay This is your survey Look carefully Raise your hand if you have a answer I will Okay, I'll just do it. Raise your hand if you see the pattern. Or if you see the pattern on the observe.

Then, fill in the box. If anyone wants to answer, just raise your hand. So it's your hand po, kapag alam niyo ngayon.

Roger. So it's your hand po, kapag alam niyo ngayon. So it's your hand po, kapag alam niyo ngayon. So it's your hand po, kapag alam niyo ngayon.

So it's your hand po, kapag alam niyo ngayon. So it's your hand po, kapag alam niyo ngayon. So it's your hand po, kapag alam niyo ngayon. So it's your hand po, kapag alam niyo ngayon.

So it's your hand po, kapag alam niyo ngayon. So it's your hand po, kapag alam niyo ngayon. So it's your hand po, kapag alam niyo ngayon. So it's your hand po, kapag alam niyo ngayon.

Sir, I have one. Sir, it looks like me. Sir, it looks like me.

You, you have three. I hope it's in the observed. What is it?

3 plus 3 equals 6. 3 plus 3? Equals 6. Where did you get the other 3? I don't know, sir. I just saw it.

Okay, 3 plus 3 equals 6. Equals 6. 6 times 3 equals 18. Okay. 5 plus 5 equals 10. 10 times 5 equals 50. Okay. 15 plus 15 equals 30. 30 times 2 equals 60. 30 times 2 equals 60. 60. I'm going to complete your observation. It's wrong.

It's wrong. Your observation is like... There's no lesson?

No, it's okay. It's like, where did you get the three guns? And then here.

You're asking questions that I can't believe. No, I'm evaluating your observation. Your observation is... complicated sir um divisibility sure 18 divided by 6 is 3 50 divided by 10 is 5. But here sir, it seems like his pattern changed.

So maybe... Who will answer? Just you sir.

Okay. Look at the title. Look at the title.

Deplication pattern. Yes. What are you doing?

Why are you adding? Why are you dividing? Wrong. Wrong. Time.

Okay. Who will answer? Sir 6 times 3 is 18. 5 times 10 is 50. I'm hungry for the third row. That's 30. I'll find it.

10 times 2. Sir, diagonal, sir. I draw at 18 times 6. At the bottom. Sir, diagonal, sir.

Sir, diagonal, sir. Sir, diagonal, sir. Diagonal, sir. 3 times 10. 42, sir. 42. Okay.

Very good. So you need to multiply diagonally. Okay. Tina, what's your section? 42. What's your last name?

Urbano. Matthew, what's your last name? Tibay, sir. Block 42. Block 42. Six times ten, 60. 3 x 5 and 15 Do you get the pattern?

Yes sir What is the title? Multiplication Katrina added Matthew divided earlier I'm just the opposite You're just the opposite What is the title of multiplication? 3 x 6? 80 5 x 10? 50 3 x 10?

30 Okay, 6 times 10, 60. 3 times 5, 50. Get it? Yes. Yes. Okay, how about feel in the box? Raise your hand.

Why Tina? Your answer is right, Tina. You started with the right answer, so you got it right. You're welcome, John Christian.

Go. Sir, in the first box at the bottom, 12. First box at the bottom. Not there, at the bottom of 30. 12. Then, at the top, the top. 20. Then, at the side of 5, 6. The last one, the 3. Very good. Divine, so 4 times 5, 15. 6 times 5, 30. 3 times 4, 12. 3 times 6, 18. 4 times 5, 20. 3 times 5, 15. Very good!

I like that. John, what's your name? John Christian de Guzman. Christian, what's your block? Block 43 So we have 43 here Alright, alright, next, next, next I'm writing the numbers Next, the first The first week of chess club had 3 students The second week had 5 students Then the third week had 8 It's students and the fourth and had 12 in this pattern If this pattern continues how many students will show up in eight week answer?

one minute Type your answer in chat box Okay, going back to our last question for today's discussion. Our first student that got the answer, said Roxanne is 17, Pinlock is 38, and Matthew down... to rise of Florida's is all of your answers are 38 pinlock solve natin using the table we're going to make a table we're going to apply our day number four this lesson week yan.

Tapos sa kabila is lagay natin dito yung mga students. Kung ilan yung mga students per week. Okay, when we had our first week, how many students?

Three. Three. Second week? Five.

Five. Eight. Eight. Twelve.

Twelve. Seventeen. Seventeen.

Seventeen. Twenty-three. Twenty-seven. Thirty.

Thirty. Thirty. Thirty-eight. 43 Okay, so look at the pattern.

2, 3, 4, 5, 6, 7, 8. So the answer is 30. Congratulations to Pinlock. Let's give a round of applause to Pinlock guys. Pinlock, Pinlock.

Pinlock, what is your first name? Alia po. Section?

    1. Let's do 43 again. Next! Alright!

Do you have any questions regarding our lessons for today guys? If not, let's do heart-to-heart. Heart-to-heart!

Heart-to-heart! Alright! So, you will pass this to the next face-to-face class. The answer is only in the long part. So, check for understanding.

If you get the answer, you will answer to the click. the thumbs up button thumbs up is mathematics that's all for today thank you so much bye bye guys thank you thank you for listening that's all for today thank you thank you