Lesson video

Hello, I'm Miss Miah and I'm so excited to be a part of your learning journey today.

I hope you enjoy this lesson as much as I do.

In this lesson, you'll be able to use your knowledge of the 7 times table to solve problems. Your keywords are on the screen now and I'd like you to repeat them after me.

Equation.

Operation.

Fabulous, let's find out what these words mean.

An equation is used to show that one number or calculation is equal to another.

An operation is a mathematical process.

Examples that you know are addition, subtraction, multiplication, and division.

Symbols are used to show the operations.

This lesson is all to do with using your knowledge of the 7 times tables to solve problems, and this lesson is made up of two lesson cycles.

The first lesson cycle is to do with solving word problems, and then we're going to be looking at 7 times the size.

Now, using your knowledge of the 7 times tables to solve problems is important because it helps you find the answers quickly.

Whether you're figuring out how much money you need, dividing things equally amongst friends or solving puzzles, knowing your 7 times tables really gives you a strong tool to tackle these challenges without having to count on your fingers, or say if you don't have a calculator.

It definitely saves you time and helps you solve problems accurately.

So let's get started.

Now, in this lesson you'll meet Jacob and Sofia.

When you solve problems, you need to decide what operation to use.

Sometimes there will be more than one step with different operations.

This is known as a multi-step problem and usually these questions look a little bit longer on the page as well.

The language in a worded problem can help us decide on the operation.

You may come across worded questions which involve using two operations.

So let's begin.

Jacob is playing Dragons Rise on his computer.

For each level he completes, he gains 7 experience points.

If Jacob completed 4 levels, how many experience points did he get? Now, Sofia says she can write an equation for this.

4 times 7 is equal to something.

"I don't know that table fact." She says she knows that 5 times 7 is equal to 35.

So if Jacob completed 5 levels, that would be 35 points, which is true, but he only completed 4 levels.

So Sofia says she needs to subtract 7.

So 35 points subtract 7 is equal to 28 points.

4 is a factor, 7 is a factor, and 28 is the product.

Now, Sofia gains 63 experience points altogether.

If each level completed gives 7 experience points, how many levels did she complete? This time, the operation is division because I know how many points in total, but not how many levels.

I can think of this as something groups of 7 is equal to 63.

I know that 9 times 7 is equal to 63.

So here, our dividend is 63, our divisors is 7 and our quotient is 9.

So 63 divided by 7, meaning I completed 9 levels.

Over to you.

I'd like you to identify the equation you would use to solve this problem.

So Jacob is playing Dragons Rise on his computer.

For each level he completes, he gains 7 experience points.

If Jacob completed 3 levels, how many experience points did he get? Is it A, the equation is 3 times 8 is equal to 24? or B, 3 times 7 is equal to 21? or C, 3 add 7 is equal to 10.

You can pause the video here and click play when you've got the answer.

So what did you get? Well, B is the correct answer, and that's because we are multiplying.

There are 3 levels and for each level that he completes, he gets 7 experience points.

So our factors are 3 and 7 and our product is 21.

Later Sofia enters a new level on Dragons Rise.

For each level Sofia completes she gets 7 experience points.

She completed six levels but lost 5 points.

How many points does she have altogether? Hmm.

So Sofia's identified that this is a two step problem.

The operations are multiplication and subtraction.

First we need to multiply.

I know that 6 times 7 is equal to 42, so that's 42 points.

So 42 is the product.

Now we have to subtract 5, and that's because she lost 5 points.

So I know that 42 subtract 5 is equal to 37, so she has 37 points.

You can also represent this problem using a bar model.

Sofia says, "We can break this down into 2 steps." Step one, 6 times 7.

So we've got six groups of 7 there, which gives us a product of 42.

And then we're going to subtract 5 from 42.

So 42 subtract 5 is 37.

Sofia is on a school trip to a local nature reserve.

She sees 8 ladybirds each with 7 spots.

Jacob sees another Ladybird with 9 spots.

How many spots are there altogether? Now again, Sofia's identified that this is a two step problem.

The operations are multiplication and addition.

Oh, I wonder how she knows that.

So she's identified that we have to multiply.

So these are the factors, 8 and 7.

She says, "First we need to multiply.

I know that 8 times 7 is 56, so there are 56 spots." Then she's identified we have to add, and that's because Jacob saw another ladybird with 9 spots.

So 56 add 9 is equal to 65.

There are 65 spots altogether.

So 8 times 7 add 9 is equal to 56 add 9, which is equal to 65.

Over to you.

What are the equations and operations needed to solve this question? Can you represent this question with a bar model? So the question is, "Pizza boxes hold pizzas with 7 slices.

Andeep's mom orders 10 boxes of pizza and gives one box to her neighbour.

How many slices of pizza does she have altogether?" You can pause the video here and click play when you're ready to rejoin us.

So what equation did you get? Well first, we know we have to multiply, and that's because each pizza box comes with 7 slices of pizza.

So 10 times 7 is equal to 70.

But then Andeep's mom gives away one box to her neighbour, which basically means we need to subtract.

So 70 subtract 7 is equal to 63, and this is how you would've represented it as a bar model.

So 10 groups of 7, 70 being the product or the whole in this case.

And then 70, subtract 7, which would've given us our answer of 63.

Well done if you managed to identify the correct equations and get the answer in the end.

Onto the main task for this lesson cycle.

You are going to solve the following questions using your knowledge of the 7 times tables, show the equations that you use.

So for question one, Jacob is playing Dragons Rise on his computer.

For each level he completes, he gains 7 experience points.

If Jacob completes 5 levels, how many experience points did he get? Question 2, Izzy has collected 70 points altogether playing Dragons Rise.

How many levels did she complete altogether if each level rewards 7 points? Question 3.

Sofia's mom bought 4 chocolate boxes each with 7 chocolates each.

She then received another box of chocolates.

How many chocolates does she have now? Question 4.

Jacob collects 7 packs of 9 guinea cards.

Jun gave Jacob an extra 21 cards.

How many cards does Jacob have now? And question 5.

Sofia has 77 cards.

She gives Jacob 35 cards.

Sofia then shares her cards between 7 of her friends.

How many cards does each friend get? You could pause the video here and click play when you're ready to rejoin us.

Off you go.

Good luck.

So what did you get? Well, let's have a look at question one.

Jacob is playing Dragons Rise.

Now, each level that he completes gives him 7 experience points, and he's completed 5.

So that means 7 points times 5 is equal to 35 points altogether.

Jacob got 35 points.

Question 2.

Izzy collected 70 points altogether playing Dragons Rise.

So we need to now calculate how many levels she completed if each level rewarded 7 points.

Now, we know that 10 levels times 7 points is equal to 70 points altogether.

You may have also used division and you know that 70 divided by 10 is equal to 10 levels altogether.

Well done if you managed to get that correct.

For question 3, you should have got 4 times 7 is equal to 28 chocolates.

Now, this was a two step problem because Sofia's mom then received another box of chocolates which also had 7 chocolates.

So after calculating what 4 times 7 is, we needed to add another 7.

So 28 add 7 is 35.

Sofia's mom would've got 35 chocolates altogether.

For question 4 you should have got 63 cards.

The factors here are 7 and 9.

So 7 times 9 is equal to 63 cards.

Then Jacob receives an extra 21 cards.

How generous.

So 63 add 21 is 84.

So Jacob now has a whopping 84 cards altogether.

And lastly for question 5.

Sofia has 77 cards and then she gives Jacob 35 cards.

She then shares her cards between 7 of her friends.

Now, this is definitely a two step problem and I wonder what the operations here are.

Well, we know she has 77 cards to begin with.

Now, by giving away 35 cards, that means we need to subtract.

So 77 minus 35 gives us 42.

We then find that she shares her cards between 7 of her friends.

So with the amount that she has remaining, which is 42, we then divide 42 by 7 because she's sharing her cards between 7 of her friends, and this gives us six.

So the quotient is six.

Each friend gets six cards each.

Fantastic work if you manage to get all of those questions correct.

I'm super proud of you.

Now let's move on to the second lesson side.

This is 7 times the size.

Jacob and Sofia are playing a game.

If their character catches a star, it evolves and becomes bigger.

Now, the size of this little penguin there is 2 centimetres at this moment.

Now, it's not to scale.

Oh it's caught a star.

Now, it's grown bigger, and I wonder by how much.

Jacob says, "My penguin is now 7 times the height." So 2 times 7 is equal to 14.

Your new penguin character is 14 centimetres tall.

So we've multiplied 2 by 7 because 7 times the size is the same as multiplying by 7.

And here we can visualise it like this.

The evolved penguin isn't 7 little penguins stuck together.

That's right, it's 7 times the height.

They go onto the next round.

Sofia's panda catches the star.

and Sofia's panda is 4 centimetres at the moment.

My panda is now 7 times the height it was.

What is the new size of the evolved character? How do you know? Well, 7 times the size is the same as multiplying by 7.

So 4 times 7 is equal to 28.

Sofia's new panda height is 28 centimetres.

And you can represent it like this.

Over to you.

The rabbit catches a star.

What is the new size of the evolved rabbit? How do you know? Sofia says, "My rabbit is now 7 times the height." You can pause the video here and click play when you're ready to rejoin us.

So what did you get? Well, the new height of the rabbit is 21 centimetres, and that's because 7 times 3 is equal to 21.

Moving on, Jacob's otter is 35 centimetres after it caught the blue star.

The blue star makes it 7 times the height so now it's 35 centimetres.

What was the size of the otter before it evolved? How do you know? Hmm.

If it was made 7 times the size, it was 7 times smaller before.

So we can use our 7 times tables facts to help us.

I can think about it like this.

So something multiplied by 7 is equal to 35.

So 35 divided by 7 is equal to 5.

The otter was 5 centimetres before it evolved.

And you know that because 5 times 7 is equal to 35.

So you can use your knowledge of your 5 times tables to also help you with this.

So the original height was 5 centimetres.

Over to you.

Sofia's character captured a star and now it is 42 centimetres tall.

How tall was it before it caught the star? You can pause the video here and click play when you're ready to rejoin us.

So what did you get? Well, 42 divided by 7 is equal to 6.

The dog was six centimetres tall before.

Jacob and Sofia move on to playing another game.

They start by choosing a card.

This is their score for the round.

"I picked a 4, not a high score!" Then they flip a coin.

If the coin is heads they get to multiply their score by 7.

"Yes! Heads! I get to make my score 7 times the size." So 4 times 7 is equal to 28.

If the coin is tails, their score stays the same.

Over to you.

How many points did Sofia score? "I picked a 9 and the coin landed on heads." If the coin is heads, they get to multiply their score by 7.

You can pause the video here and click play when you're ready to rejoin us.

So what did you get? Well, Sofia scored 63 points, and that's because 9 times 7 is equal to 63.

Jacob and Sofia play 4 rounds each.

To see who has won, they need to find the total score.

The operation here will be addition.

Jacob uses addition to find his total score.

So in that round he got 56, 21, 42, and 14.

Jacob managed to flip heads each time, so his score is quite big.

Now Sofia uses addition to find her total score.

So she got 14, 21, 57 and 7.

What do you notice about Sofia's score? Well, 57 is not a multiple of 7, so she cannot have scored this.

7 times 8 is 56 so Sofia probably got 56 because that is the closest multiple of 7 to her error.

Over to you.

Jacob plays the game with Andeep and finds his total.

Spot the mistake.

You can pause the video here and click play when you're ready to rejoin us.

So what did you get? Well, 21 is okay because we know 7 times 3 is 21.

42 is also okay because 7 times six is 42.

7 times 8 is 56, so that is fine.

But what about 76? Hmm.

Well, 76 cannot be a point that Jacob scored as it is not a multiple of 7.

However, 7 times 11 is 77.

Jacob probably got a 77 then because that is the closest multiple of 7.

Well done if you manage to identify that mistake.

Great, onto the main task for this lesson cycle.

So for question one, in a game, characters catch stars and become 7 times their original height.

Use this information to find either the new or original height of each character.

So for question 1A, the otter catches the star and becomes 7 times the height.

So its original height is 5 centimetres.

Question 1B, the dog caught the star and is now 49 centimetres tall, so what was its original height? For 1C, the panda caught the star and is now 77 centimetres tall.

For 1D, the rabbit catches the star and becomes 7 times the height.

And for one E, the penguin catches the star and becomes 7 times the height.

For question 2 you're going to play the card game Jacob and Sofia played.

You'll need digit cards 1 to 12 and a coin.

You're going to pick a card.

This is your score.

You are to flip a coin.

If it lands on heads, multiply your score by 7 and record this score.

If it lands on tails, it's your partner's turn and your score is the card.

The first person to 200 points wins.

You can pause the video here.

Off you go, good luck, and click play when you've finished.

So how did you do? So for question one, the otter catches the star and becomes 7 times the height.

So 5 times 7 is equal to 35.

35 centimetres is the new height.

1B, the dog caught the star and is now 49 centimetres tall.

So the answer is 49 divided by 7 is equal to 7.

7 centimetres was its original height.

For 1C you should have got 77 divided by 7, which is 11 centimetres.

The original height was 11 centimetres.

And then for 1D you should have got 70 centimetres for the new height of the rabbit.

And lastly, for 1E, you should have got 84 centimetres as the new height of the penguin.

Well done if you managed to identify the original and new heights of those characters.

Now for question 2, you may have got something like this.

So Sofia picked the card 11, she flipped the coin and she got heads so she was able to multiply it by 7.

So the equation here was 11 times 7, which is 77.

And Jacob says, "Great, you scored 77 points." The pair then tallied their points.

So Jacob got 56, 21, 56 again, and then 77.

He managed to score a total amount of 210 points.

And because he got to 200 points and more first, he won.

Fantastic, we've made it to the end of the lesson.

Let's summarise our learning.

So today you were able to use your knowledge of the 7 times tables to solve problems. You now know that the 7 times tables can be used to solve problems and you can skip count in groups of 7 if you need to.

7 times the size problems can be written as an equation where one factor is 7.

You can now use your times tables facts to solve problems involving dividing by 7.

Thank you so much for joining me in this lesson.

Bye.