Topic Five (1.5): Other sequences
Introduction
Last lesson we looked at arithmetic sequences, where the consecutive terms were found by adding or subtracting the same number. Today we consider other sequences, which have different patterns.
Warm Up
First complete the skill checker on page 9.
Working through your course book
- Start by watching this video which looks at some different sequences, up to 6 minutes, then the last part from 9 minutes onwards:
- Read and make notes on pages 9-11, copying out the worked examples, if you think it will help you.
- Now see if you can answer the Band 2 questions on pages 12-14.
- For more questions please COMPLETE - 1.2 worksheet Other sequences
- This interesting video shows where the Fibonacci sequence occurs in nature:
WATCH – The Fibonacci sequence (Twig) [Not available on sample course]
- You may also want to watch the following Corbettmaths video on Fibonacci sequences:
Plenary
You have a choice: you can end this lesson by playing a maths game, or watching a video (or even both, if you have time!)
Game-time!
You can complete your work on sequences with a fun challenge which revises continuing a sequence – can you escape the Jellymen?
PLAY – Escape to the city (MyMaths) Links to an external site. [Not available on sample course]
Video
Introducing the “Prince of Mathematics” Gauss, who at just seven years old developed a formula for triangular numbers.
WATCH – Number Theory: Gauss (Twig) [Not available on sample course]
Support activities for this topic
The Band 1 questions on page 12 will help build your skills on this topic.
Extension activities for this topic
If you would like more of a challenge on this topic, go to pages 14-15 and attempt the Band 3 questions.
Check your answers
CHECK - 1.2 worksheet answers Other sequences