Lesson details

Key learning points

  1. In this lesson, we will begin by introducing the context of synchronized swimmers arranged in groups within squads to multiply three numbers in different arrangements. They use different factor pairs to solve the same problem in different ways. We will also look at distributive law can be represented using area models.


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5 Questions

What calculation is represented by the dienes shown below?
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20 x 21
203 x 23
Correct answer: 23 x 23
25 x 25
What four products are missing from the area model shown?
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12, 70, 12, 4
Correct answer: 21, 70, 120, 400
21, 70, 40, 12
7, 12, 120, 400
What calculations do the dienes represent below?
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10 x 47
40 x 6
6 x 11
Correct answer: 6 x 47
Using your knowledge of multiplying with multiples of ten, can you identify the correct answer for 29 x 21?
Correct answer: 609
Look at the calculation carefully. There is an error but the pupils can't decide where! Which pupil is right?
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Abdul thinks the person has multiplied by 3 incorrectly.
Lucy believes the regrouping has been incorrect on two occasions.
Safin believes the columns have been added incorrectly so the total is wrong.
Correct answer: Simon thinks the person has not used a place value holder.

5 Questions

Which of the following statements about a prime number is true?
Correct answer: A prime number can only have two factors.
A prime number multiplied by a prime number will give a product that is a prime number
All prime numbers are odd.
The largest prime number is 97
Using distributive law, which of the following number statements is FALSE?
10 X 6 = 5 X 6 + 5 X 6
Correct answer: 12 X 3 = 4 X 1 + 4 X 1 + 4 X 1
22 X 2 = 20 X 2 + 2 X 2
3 X 6 = 3 X 3 + 3 X 3
Look at the bar model below which is similar to other bar models used during the lesson. Which number statement does the bar model correctly represent to help us calculate the total number of swimmers?
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12 x 4 x 3
3 x 3 x 4
4 x 2 x 2
Correct answer: 4 x 3 x 4
Below is an area model. What is the product of this area model?
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Correct answer: 45
During the lesson, we demonstrated how an area model could be arranged to show distributive law after one of the factors was partitioned. If the product for a calculation is 120, what are the two missing values?
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1 and 9
Correct answer: 5 and 4
6 and 6
9 and 0