Patterns in Linear Sequences

The video tutorial explores different matchstick patterns, starting with a simple pattern where the number of matchsticks is three times the shape number. It then moves to a more complex pattern with a common difference of six, requiring an additional constant to match the sequence. The final pattern discussed has changing differences, making it difficult to establish a simple rule. The tutorial concludes with a homework assignment to create similar patterns and a preview of future lessons on linear patterns.

What is the rule for calculating the number of matchsticks in the first pattern?

• Shape number multiplied by 2

• Shape number multiplied by 3

• Shape number multiplied by 4

• Shape number multiplied by 5

In the second pattern, what is the common difference between the terms?

• 5

• 6

• 4

• 3

What is the rule for the second pattern involving matchsticks?

• 6s + 1

• 6s + 2

• 6s + 3

• 6s + 4

What is the first number in the second pattern?

• 6

• 8

• 12

• 10

Why is it difficult to create a rule for the third pattern?

• The pattern is too simple

• The pattern is not based on matchsticks

• The differences between terms are constant

• The differences between terms keep changing

What is the difference between the first and second shapes in the third pattern?

• 5

• 6

• 4

• 3

What is the first number in the third pattern?

• 2

• 3

• 5

• 4

What mathematical concept will be explored next week related to these patterns?

• Trigonometry

• Geometric sequences

• Linear patterns

• Quadratic equations

What is the homework assignment related to matchstick patterns?

• Create one new pattern

• Create two new patterns

• Create four new patterns

• Create three new patterns

What type of new pattern is suggested as part of the homework?

• A simple pattern

• A pattern with a changing difference

• A pattern with no difference

• A pattern with a constant difference