# Lesson video

In progress...

Hi there, my name is Miss Darwish, and today's maths lesson, we are going to be solving problems to do with time.

So, before we get started with the lesson, if you could just take yourself away from any distractions to a nice, quiet place, just so you are ready for your learning for today.

So, our agenda for today is.

First of all, we're just going to be discussing some days, and then moving on to worded problems, and then looking at some comparisons, and then, at the end of the session, as always, there is a quiz for you to complete on the learning from today.

So, what you will need is a sheet of paper, a notebook, and a pencil, and a ruler.

If you want to grab these things, we can stop.

Okay, I've got a quick activity for you to do, are you ready? So, order the following from shortest to longest.

So, you've got February, June, July, 35 days, and August.

I'm going to give you 10 seconds, off you go.

And stop.

Okay, let's have a look.

So, starting with the shortest, of course, is February, 28, or 29, days.

And then, June, 30 days.

And then July and August are both 31 days.

And then, of course, 35 days is the longest.

So, you've got February with either 28, or 29 days, depending on whether it's a leap year, it falls in a leap year, and then our longest is 35 days.

So, well done, if you got that right.

Okay, let's move on to a word problem now.

So, Zaki is a chef.

He works for three hours every day, six days a week, okay? So, what does Zaki do? He is a chef.

And how many hours does he work in one day? Three hours, okay.

So he works.

It says he works everyday, but for three hours.

We know in a day there are 24 hours.

Three out of those 24 hours, what is Zaki doing? He is working as a chef somewhere.

And does he do this for the whole week? Six days a week.

We know there are seven days in a week, so, on one of those days, Zaki is resting, he is not working, okay.

So, I'm going to read it out.

Zaki works three hours everyday, six days a week.

What is the total amount of time he spends working in four weeks? So, we want to know, how long does Zaki work in a four-week period? So, what we do know, just to recap, is that Zaki works everyday for three hours, six days a week.

So, the total in four weeks, if Zaki is working for three hours every day, six days a week, okay? So we've got, in the first week, we've got, one, two, three, four, five, six.

In the first week, Zaki is working for six days.

Every week, Zaki works for six days, okay? And on each of those days, it's three hours.

So, can you see that top part, is showing me in one week, how many hours does he work in one week? 18 hours, well done if you said 18 hours, just in one week, okay? We just looked at the top part, we've got three, add three, add three, add three, add three, add three, for the six days.

Three hours every day for six days, and that is Zaki's week.

It's made up of six days.

Right, but the question doesn't ask us about one week, does it? It asks us for four weeks.

Okay, so that's 18 hours in the first week, and then another 18 hours in the second week, another 18 hours in week three, and another 18 hours in week four.

So, it's almost like saying, 18 times four, to find the total amount of hours that Zaki has been working in four weeks.

So, 18 times four is equal to 72.

See, if I was to add up all of those three hours, I should get 72 hours.

Okay, so how many hours does Zaki work in four weeks? 72 hours, well done.

So, in four weeks, Zaki works a total of 72 hours.

And how often does Zaki work in one week? 18 hours well done, okay.

Now, we're going to have a look at another word problem.

You're ready? So, it says who has trained the longest? There are four different options.

So option one, Sam has trained for 30 minutes a day, for 24 days.

Option two, Alesha has trained for 120 minutes a week, for six weeks.

Option three, Laila has trained for two hours a week, for seven weeks.

And option four, the last option, Kai has trained for 25 minutes a day, for the whole month of February.

Now, let's go and read through each option again.

So, option one, what do we know about Sam? He trains for 30 minutes a day.

How long in a day? 30 minutes, for 24 days.

So, total number of days he trains for is 24 days, and each of those days he trains for 30 minutes.

Okay.

Let's read and understand option two.

Alesha has trained for 120 minutes a week.

So, in one week, how many minutes does Alesha train for? 120 minutes, well done.

And for how many weeks does this go on for? For six weeks.

Okay, what about option three? Laila has trained for two hours a week, for seven weeks, seven weeks.

For every week, she trains for two hours every week, for seven weeks.

And then the last option, Kai, how long does he train every day for, how many minutes? 25 minutes, good, for the whole month of February.

Now, let's have a look.

Let's look at option one, let's explore option one.

So, in one day, Sam trains for 30 minutes.

We want to know how many minutes does Sam train for, in 24 days.

But of course we know that multiplication is repeated addition.

So, instead of adding, and adding, and adding, and adding, we are all going to just do 30 times 24 which is equal to 720 minutes, and that is the answer to option one.

So, now we know, how long in total Sam has trained for.

How long? 720 minutes, well done.

Okay, should we look at the other options now? Option two is Alesha, and she trains for 120 minutes a week, for six weeks.

So in one week, how many minutes does she trained for? 120 minutes.

So, then for six weeks, it will be six multiplied by 120, which gives me 720 minutes.

So, what's really nice about Sam and Alesha? Sam train for 30 minutes a day for 24 days, Alesha trained for 120 minutes a week for six weeks.

And what about how long they both trained for? They basically both of them, they had different training schedules, didn't they? But, it still added up the same, they still did the same number of minutes.

Alesha trained for 720 minutes in total, and Sam trained for 720 minutes in total, but they had different training schedules.

Let's look at options three and four now.

Okay, so we've looked at option one and option two, we're not sure who has trained the longest yet, we're going to look at option three and option four, then make a decision but so far, what do we know about Sam and Alesha? About the same, okay.

Now, option three, Laila.

Laila has trained for two hours a week, for seven weeks.

So, every week she puts in two hours, and this goes on for seven weeks.

So, in one week, I'm going to stick two minutes now, we know that two hours is the same as.

One hour is 60 minutes.

So, two hours would be 120 minutes.

So, over seven weeks, how many minutes is that? Seven multiplied by 120 is equal to 840 minutes.

So, Laila has trained for 840 minutes in total.

Okay, option four, Kai.

Kai, has trained for 25 minutes a day, throughout the whole of February, 2020, okay? I'm going to tell you it's 2020, why? Cause we don't know which February it is, we don't know if there are 28 days in this February or 29 days, but we know, what do you know about February 2020? That was a leap year.

So, in one day, Kai does 25 minutes.

So, in 29 days, how many minutes does he do? 25 minutes a day over 29 days, 25 times 29 is equal to 725 minutes, and that is how long Kai has trained for.

So, now we've got 720 minutes, 720 minutes, 840 minutes, 725 minutes.

So, option three, Laila trained the longest, 840 minutes she trained for, and Sam and Alesha, trained the least amount and they were both at 720 minutes.

Okay, so, well done, now it's time for you to pause the video, I'm going to leave you to have a go at that independent task for me, and then once you've checked over it and you're ready, come back, play the video, and we will go through the answers and you can check.

Okay, welcome back.

How did you find that? Hope you found that okay.

Should we go through the answers together? Okay, let's have a look at the answers.

So, I left you with a task and what you have to do, I'm just going to take myself out.

Design a training schedule for yourself and three friends or other members of your extended family, as you will be taking part in the London Marathon in April next year.

Now, each member of your family or friends must have a different training schedule and the total number of hours of training must lie between 70 and 100 hours.

It's a lot of hours put in.

So, what you have to do is design a training schedule, one for yourself and for your three friends or members of your family.

So, any other three people that you wanted to, and you're training for the London Marathon.

So, what you need is that every person.

So, all four of you have to have a different training schedule.

So, do you remember our example, Sam and Alesha, they had different training schedules, but the same amount of time, okay.

There are lots of different options.

So, an example of the training schedule could be, I will train for 30 minutes a day, four times a week, for 36 weeks or nine months, okay? And that would be the equivalent to me train, for 72 hours and that definitely falls between 70 and 100 hours.

Or other options that you could have had.

Putting myself back there.

Other options that you could have had is that you could train for 45 minutes a day, every day, 45 minutes but three times a week, for 40 weeks or nine months, and that would give you 90 hours, so that would be okay as well.

There are lots of different options that you could have.

That would be fun, is if you actually did these training schedules maybe, trying you and your family, you're trying to get fit for New Year's resolution, or your friends, and actually maybe make up your own training schedules and stick them on the fridge and actually have a got at these.

Okay, now well done.