PERCENT Problems and Application (2023)


Lesson Simulation
using PEARDECK and students interactions


So all right so welcome to our class again, I'm ready for this one and um, it's, february 9th.

So before we start to our lesson, I would like you to answer this question.

So in this world, it is not what we take.

But what we give up that makes us rich right? This is according to henry wide feature.

So what what most valuable possession you have that you can give up for someone give you a minute to write an answer while you do that I'll check the attendance.

So I would like to share this one.

What is the most valuable possession you have that you could give up for someone anyone I have? No.

I have some responses inside so let's, see what we have.

I probably give up said, food, if they are struggling for food street, maybe fuse them a few dollars, that's, nice, a beautiful locket that symbolizes our friendship that's, not giving up that's, um, I think that's more of a gift I'm gonna.

Ju, my devices chivalry for each other what's, the purpose of this you're giving up like guys, you are looking for material so that's, why I said, valuable possession it's, not okay, that's.

Why you think it's? Um, you don't know, I gave up someone's free money before my plans all right so I'll give you an idea because you're you're just thinking of material things.

So you could give up.

You could always give up your time.

So let's say, I'm so busy, I have so many things to do.

But then here comes a friend, that's crying and really needs your help.

So you don't give up things for them.

You give up your time and that one of the most valuable thing you have at that moment, your time need to do some work or like, uh, something like that, right? It doesn't need to be money.

All the time it doesn't need to be like, oh, I have.

I have to go to this place.

This is a pretty party of my friend.

I really have to be there.

But then all of a sudden there is someone who really are in need of you in that moment like that you had to go with her with him, not on the way to the doctor or or babysit, the the kid something like that other than going to the party you give that up that's the most important thing for you it's, the party with your best friend right, it doesn't need to be material, because we don't have that material thing.


So far right now, like everybody of all most of us are drained at this situation.

All right.

So anderson, is here.

Welcome anderson to the class so I'm, giving you the link.

So I could start the lesson again.

I gotta move forward since we're gonna learn how to solve present we're just going to be reviewing today right? But I really want to see, um your work.

I would like to see how you work on this problem.

All right let's start with this one, which one doesn't belong true is to remember we have been doing this like quite a while, and we've stopped a little bit because instead of doing what we think about it.

I have been giving you some extra word problems, but let's jump on this one for now.

Before I go to percent I'll, give you a minute, be ready to share it this time? Okay, I'm gonna be asking someone to share.

Jackie will be the first jackie.

Go ahead.

So I think zero point, four zero and five hundredths is different from all the other ways all the others are basically half of a whole, but not zero and five.

Hundreds, nice observation.

Another one fiona, what did you pick? How about you haley? Oh, I picked the orange one.

You picked the orange one because why did you pick that you guys need to talk? They are equivalent to each other.

Um echo said, uh and other agreed.

This word is on 0.5.

So x is here.

Did I mark your present? Yes, I did all right so how about haley? What do you? What did you pick 0.05? Why did you do that? Why did you pick that because it's the only one that's equivalent to a 500 while the others are equal to 50 out of 100.? Okay, that's a good observation.

Md, it's.

The only one that's not a half, unlike the other ones anybody pick this, uh, b, house, kind of shape.

Anybody? Pick that anything malia? Go ahead.

I said, the pyramid doesn't belong because it's, the only one that doesn't have numbers.

Okay, nice observation, too.

Anybody else? One more one more? Okay, go ahead.

Dania, um.

I also picked the bee house honeycomb thing.

I picked it because it kind of looked like the odd one out, um, that's.


Do you guys have a very good observation of picking and all your answers is correct because um that for you doesn't belong.

So others, look at it mathematically, but others just look at it like shapes and everything like that, which is also good all right so let's proceed to our lesson for the day.

So our goal is to solve percent problems on tax tip and discount using fractions, decimals and pro proportionality.

Uh, we have been using different strategies for so long, and we've been reviewing so we'll, see, this will be your, um, this will be your second to the last review.

So let's, try to solve this problem.

There are 30 students in mrs jones class.

Twenty percent of the student receive an aim on the last math test.

How many students did not receive an a.

So this time all our problems in here are like mixed of percent problem.

So try to solve it using your favorite strategy.

I'll, give you a minute all right? So there are 13 students who answer this question before I show the answer of others who would like to share first, how did we solve this problem? You could tell me I used to I used this strategy, and I able to find this let's, try with joanna come on.

How come you guys are quiet, you need to speak up today all right jackie.

So the answer is six because first first, I put 30 and 100 are basically the total amount.

And then I divided 30 by 100 and got got 0.3.

Then I multiplied it by 20 because 0.3 is 1 out of 100.

So I multiply it by 20, I got 6.

So 6 is the number of students that is white daca, ace that got a anybody who would like to add on md.

Go ahead.

So six is the number of students that got eight.

But then the question says, how many students did not receive an a so then you have to do 30 minus six, and then you would get 24.

So the answer would be 24.

Jackie do you agree tonight? Would you like to? Okay? Sorry.

Jackie go ahead.

Jackie do you agree with md? Yes, all right? Uh, eckers.

Would you like to add something you were raising your hand? So that was that was true.

When you said, like md said, like we have like, I said, I agree with md.

So you have to find, um 30, minus 6 so it's 24, because 6 belongs to the students that says, twenty percent to receive an a on the last math test.

So, uh, the six students just get an eight.

But the question is, who did not receive an a so that's a very good observation? So a guy if I look at your answers, you guys got that answer, correct and you, if you end up just with six, you had to figure you had always to go back and figure out, uh, what was the question about? So the question is, what is not getting a? So six is not the one getting a six are the a.

So you have to like solve it like that.

Okay, all right? Good one.

So good review let's, go to the next question.

So a sweater track is offering 20 discount on sweaters.

If the regular price of the soda is 15, what is the discount? And what is the sale price I'll? Give you another minute? All right? Let's? See, shaggy.

Go ahead.

Take it away.

So so to find the the discount how much of this car you do have to to divide 15 by 100.

And then you get a 0.15.

And then you times 20 to get the number three.

And if you want to find the sale part, you divide, 15 divided by 100 again and times 80 because 20 is the discount.

So when you times 80 you get 12 that's the sale price.

So md want to add something.

Md, no, all I did was, um do 20, uh, do 15 times two 0.2.

I got three as the discount price, uh discount.

And then the sale is twelve dollars.

So how do you get twelve dollars in this? Why is it twelve? Oh, you have to do fifteen minus three because there is a discount so there's.

The first one that we have, he added the answer for this.

So is that correct? Or no is the first one that I'm showing you I'm, not going to tell you, but is this first word? Correct? Why isn't he apply? Okay, there you go.

Yeah, it's.


The first one, the one with three circles, right, the three is a discount, but the final price make it 18.

So malia would you like to comment to this answer? I disagree with what danya said because it the discount price is right? But then they added instead of subtracting three to get 18 so that's, not correct so you're telling us that the discount should be subtracted from not added.

Yeah, all right.

So whoever did this one you could fix your answer.

So here you create a proportion to find the discount.

This is subtracted it.

So this is just example of mark down.

So if I'm going to ask you to stop using a markdown formula, what will you do? Do you still? Remember? How do we do markdown? How much percent is this 20 right? So if 20 is the discount, what percent is the sale price? Anyone you should have different options to solve this problem.

Not just here using decimal that's, fine so I'm going back to the question that I have if 20 is the discount, what is the sale price? What percent is the sale price? Md haley said, it, right? Md, how many percent or haley? Can you unmute and say it to the group? Eighty percent? So haley said, eighty percent how do you get? Eighty percent haley? Because fifteen dollars equals a hundred percent, and I subtracted 100 from 20.


So 20 is the discount 80 is the sale price because the discount is taking out all right, good one so let's go to the next one.

So after 15 off sale, some jeans were 11.50 how much were the jeans before it was on sale.

I'll give you a minute all right so let's, see who has the answers with this one? Let me just look there are 11 11 over out of 22.

And then there should be 25 of unit predict until now is there not joining so predict crash? What happened? No, really, I can't write on it or anything? Wow, okay.

So, but but you could just share do you see the problem and how it works.

So I just wanted to look over in the side.

So 15, there are two different answers.

We got so um interesting, there is the answer is thirteen dollars and twenty three cents.

And there is an answer of seventy six dollars and sixty seven cents.

Where do you think is the correct one this one or and there's 107, 250 come on guys that jeans 170 so I'm, not gonna buy it or it's.

Either you multiply 15 by 1150, or you make a proportion relationship of this one whose work is this, can you explain to us what it is and I'll ask the other one to explain as to go ahead, who is this one? I don't need to look over who is it right? Yes? Who who is this 76.67? Go ahead would like to share 100, um equals 11.5 over the whole, which is what we have to find out.

And so I cross multiplied, and I got 76.67, but how come you put your 15? Um, 15.

I mean, I how come did you put 11.5 or 11 here, 11 1050 cents at the numerator and you're looking for the whole? Why is it the other way around? Um, I put it like that.

Because 1150 is how much the jeans cost after the sale after the 15 off sale.

And the question is to find out how much the jeans costed before the sale took place, correct.

So malia would you like to, um confirm or agree or disagree to what dania said, I agree with what she said because after so, since it says, you need to find the whole the 11 11.5 50 cents will be the top number.

Then you would divide that, but multiply by 100 and then divided by 15 to get the price before the sale that's true.

So actually malia work on that too.

And this is her answer all right.

So if you guys have different answer because you took it the other around in this case, the 11.50 is the 15 you're looking for what is 100, very nice job, guys all right.

So let's move on to the next question.

Mandy, bought a graduation dress that was marked down for 30.

She paid 175.

She said, she saved 75 dollars is he correct? I wanted to try to explain all right? I got again, I'll give you a minute because it's time for a next test? Oh, is it already? Oh, wow.

So, okay, I have put this in your um in a google classroom.

And you continue.

It I'm gonna open it as a, um, uh, student pace.

So you guys work on it and we'll discuss it tomorrow.


So bye for now I'll, see you guys tomorrow I'll, see you guys tomorrow bye.


What are the real life applications of percentages? ›

For example, discounts in shops, bank interest rates, rates of inflation and many statistics in the media are expressed as percentages. Percentages are important for understanding the financial aspects of everyday life. Much of what we buy in the shops has a 10% Goods and Services Tax (GST) included in the price.

What is the formula of percentage and its application? ›

The percentage can be found by dividing the value by the total value and then multiplying the result by 100. The formula used to calculate the percentage is: (value/total value)×100%.

What is an example of a real world problem involving percentages? ›

Let's say you want to buy a $50 coffeemaker, and the sales tax is 8%. Sales tax is a percentage of the price of the item. This means the sales tax is eight percent of fifty dollars. Whenever you see the phrase "of something" in a math sentence, it's usually a hint that you'll need to multiply.

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