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Lesson details

Key learning points

  1. In this lesson, we will learn how to generalise counting strategies algebraically for different repeating patterns.

Licence

This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

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5 Questions

Q1.
You can link together patterns of dots to form chains. Counting the dots in a ______ way can help you to find the number of dots in any length chain.
Clever
Good
Long
Correct answer: Strategic
Q2.
For the chain below, complete the tracking calculation that illustrates the counting strategy for the total number of dots.
An image in a quiz
Correct answer: 3 x 3 + 4
3 x 4
3 x 4 + 1
3 x 4 + 4
Q3.
For the chain below, complete the tracking calculation that illustrates the counting strategy for the total number of dots.
An image in a quiz
Correct answer: 3 x 4 + 5
3 x 5
3 x 5 + 1
3 x 5 + 5
Q4.
Use the counting strategy from Q3 to find the total number of dots in a 10-chain.
An image in a quiz
30
37
40
Correct answer: 41
Q5.
Use the counting strategy from Q3 to find the total number of dots in an n-chain.
An image in a quiz
3n + 1
3n + 5
Correct answer: 4n + 1
6n + 1

5 Questions

Q1.
Which of the following is a tracking calculation for the image below?
An image in a quiz
4 x 5 + 4 + 1
4 x 5 + 5
Correct answer: 4 x 6 + 1
4 x 7 - (4 - 1)
Q2.
Which of the following is a tracking calculation for the image below?
An image in a quiz
Correct answer: 4 x 5 + 4 + 1
4 x 5 + 5
4 x 6 + 1
4 x 7 - (4 - 1)
Q3.
Which of the following is a tracking calculation for the image below?
An image in a quiz
4 x 5 + 4 + 1
4 x 5 + 5
4 x 6 + 1
Correct answer: 4 x 7 - (4 - 1)
Q4.
Use the tracking calculation from Q1 to find the number of dots in a 10-chain.
An image in a quiz
51
Correct answer: 61
62
66
Q5.
Use the tracking calculation from Q1 to find the number of dots in a n-chain.
An image in a quiz
5n + n
5n + n + 1
6n - 1
Correct answer: 6n + 1