Long multiplication

Today we will explore area models using Dienes blocks to represent multiplication. This is connected to the steps involved in long multiplication and we will then gain experience with the formal algorithm.

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Quiz:

Intro quiz - Recap from previous lesson

Before we start this lesson, let’s see what you can remember from this topic. Here’s a quick quiz!

Question 1

Question 2

Question 3

Question 4

Question 5

Q1.What calculation is represented by the area model?

10 x 16 6 x 25 6 x 27 12 x 13

1/5

Q2.When trying to estimate 153 x 4, which derived number fact is important to know?

100 x 4 = 400 15 x 4 = 60 The nearest hundred is 200 153 x 2 = 306

2/5

Q3.When calculating 313 x 4, which estimation would be most efficient?

300 x 4 350 x 4 300 x 5 400 x 4

3/5

Q4.Summer turned to page one of her maths test and saw the question was 2534 x 6. Last week they were taught both mental strategies and formal written methods and is unsure which one to use. Why would the formal written method be better to use for this question?

It is impossible to make mistakes using short multiplication You can run out any mistakes you make. Mental strategies work better only on rounded numbers The question requires a lot of regrouping which can make mental strategies less efficient and effective.

4/5

Q5.Daniel completed his work in class but when it was marked, he found he had got the following question wrong. He is confused as he is sure he is right and the teacher is wrong! But if he has made a mistake, where is it?

In the ones column In the tens column In the hundreds column Daniel has not made a mistake, the teacher has marked it wrong incorrectly.

5/5

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Quiz:

Intro quiz - Recap from previous lesson

Before we start this lesson, let’s see what you can remember from this topic. Here’s a quick quiz!

Question 1

Question 2

Question 3

Question 4

Question 5

Q1.What calculation is represented by the area model?

10 x 16 6 x 25 6 x 27 12 x 13

1/5

Q2.When trying to estimate 153 x 4, which derived number fact is important to know?

100 x 4 = 400 15 x 4 = 60 The nearest hundred is 200 153 x 2 = 306

2/5

Q3.When calculating 313 x 4, which estimation would be most efficient?

300 x 4 350 x 4 300 x 5 400 x 4

3/5

Q4.Summer turned to page one of her maths test and saw the question was 2534 x 6. Last week they were taught both mental strategies and formal written methods and is unsure which one to use. Why would the formal written method be better to use for this question?

4/5

Q5.Daniel completed his work in class but when it was marked, he found he had got the following question wrong. He is confused as he is sure he is right and the teacher is wrong! But if he has made a mistake, where is it?

In the ones column In the tens column In the hundreds column Daniel has not made a mistake, the teacher has marked it wrong incorrectly.

5/5

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This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Quiz:

Long multiplication and area models quiz

What a jam packed lesson that was! Well done everyone for your hard work and focus...now it is time to see how much has been embedded and how confident you are with the new strategies taught. As always, take your time, read the questions carefully. Best of luck!

Question 1

Question 2

Question 3

Question 4

Question 5

Q1.What calculation is represented by the dienes shown below?

20 x 21 23 x 23 25 x 25 203 x 23

1/5

Q2.What four products are missing from the area model shown?

12, 70, 12, 4 21, 70, 40, 12 21, 70, 120, 400 7, 12, 120, 400

2/5

Q3.What calculations do the dienes represent below?

6 x 47 40 x 6 6 x 11 10 x 47

3/5

Q4.Using your knowledge of multiplying with multiples of ten, can you identify the correct answer for 29 x 21?

600 580 609 629

4/5

Q5.Look at the calculation carefully. There is an error but the pupils can't decide where! Which pupil is right?

Lucy believes the regrouping has been incorrect on two occasions. Abdul thinks the person has multiplied by 3 incorrectly. Simon thinks the person has not used a place value holder. Safin believes the columns have been added incorrectly so the total is wrong.

5/5

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Quiz:

Long multiplication and area models quiz

Question 1

Question 2

Question 3

Question 4

Question 5

Q1.What calculation is represented by the dienes shown below?

20 x 21 23 x 23 25 x 25 203 x 23

1/5

Q2.What four products are missing from the area model shown?

12, 70, 12, 4 21, 70, 40, 12 21, 70, 120, 400 7, 12, 120, 400

2/5

Q3.What calculations do the dienes represent below?

6 x 47 40 x 6 6 x 11 10 x 47

3/5

Q4.Using your knowledge of multiplying with multiples of ten, can you identify the correct answer for 29 x 21?

600 580 609 629

4/5

Q5.Look at the calculation carefully. There is an error but the pupils can't decide where! Which pupil is right?

5/5

Lesson summary: Long multiplication

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The next lesson in Multiplication and division is "Using factors to multiply"

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