Checking and securing understanding of non-linear sequences
I can appreciate that not all sequences are linear.
Checking and securing understanding of non-linear sequences
I can appreciate that not all sequences are linear.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- You can identify different types of sequences.
- If there is a common difference, the sequence is arithmetic.
- If there is a common ratio, the sequence is geometric.
- Special sequences will have different rules.
Keywords
Arithmetic sequence - An arithmetic (or linear) sequence is a sequence where the difference between successive terms is a constant.
Geometric sequence - A geometric sequence is a sequence with a constant multiplicative relationship between successive terms.
Common misconception
All sequences have to be arithmetic (linear) or geometric.
There are many types of sequences; arithmetic and geometric are just two types.
To help you plan your year 9 maths lesson on: Checking and securing understanding of non-linear sequences, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 9 maths lesson on: Checking and securing understanding of non-linear sequences, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
We use learning cycles to break down learning into key concepts or ideas linked to the learning outcome. Each learning cycle features explanations with checks for understanding and practice tasks with feedback. All of this is found in our slide decks, ready for you to download and edit. The practice tasks are also available as printable worksheets and some lessons have additional materials with extra material you might need for teaching the lesson.
The assessment exit quiz will test your pupils' understanding of the key learning points.
Our video is a tool for planning, showing how other teachers might teach the lesson, offering helpful tips, modelled explanations and inspiration for your own delivery in the classroom. Plus, you can set it as homework or revision for pupils and keep their learning on track by sharing an online pupil version of this lesson.
Explore more key stage 3 maths lessons from the Graphical representations unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Starter quiz
6 Questions
3, 5, 7, 9, 11, ... -
13
27, 24, 21, 18, 15, ... -
12
-19, -13, -7, -1, 5, ... -
11
-10, -6, -2, 2, 6, ... -
10
Exit quiz
6 Questions
4, 8, 12, 16, ... -
Arithmetic sequence
2, 4, 8, 16, ... -
Geometric sequence
1, 4, 8, 13, ... -
Other sequence