Lesson details

Key learning points

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

Licence

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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

Lesson appears in

UnitMaths / Expressions, equations and inequalities