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- Year 11•
- Higher
Fibonacci and alternating sequences
I can identify the features of Fibonacci and alternating sequences.
- Year 11•
- Higher
Fibonacci and alternating sequences
I can identify the features of Fibonacci and alternating sequences.
Lesson details
Key learning points
- The next term in the Fibonacci sequence is the sum of the previous two terms.
- The Fibonacci sequence can be represented graphically.
- An alternating sequence alternates between positive and negative terms.
Keywords
Fibonacci - A Fibonacci sequence is a sequence where each term is the sum of the two previous terms.
Alternating - An alternating sequence is a sequence where consecutive terms change sign.
Common misconception
Alternating sequences may cause difficulty if negative number skills are not secure.
A review of negative numbers would be useful. Prior lessons can be used for this review if required.
To help you plan your year 11 maths lesson on: Fibonacci and alternating sequences, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 11 maths lesson on: Fibonacci and alternating 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 4 maths lessons from the Further sequences unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Prior knowledge starter quiz
6 Questions
Q1.Which of these could be the first 5 terms in an arithmetic (linear) sequence?
Q2.Which of these could be the first 5 terms in a geometric sequence?
Q3.State the $$10^\text {th}$$ term in the sequence with $$n^\text{th}$$ term rule $$3n +1$$
Q4.Which sequence could be 'two more than the square numbers'?
Q5.If a geometric sequence starts 4, 8, 16, 32, ... what is the common ratio (multiplier)?
Q6.If a geometric sequence starts 8, -12, 18, -27, ... what is the common ratio (multiplier)?
Assessment exit quiz
6 Questions
Q1.A sequence where consecutive terms change sign is called __________
Q2.Match the types of sequence to an example of a possible first 5 terms.
Alternating -Â
2, -4, 6, -8, 10, ...
Arithmetic -Â
2, 4, 6, 8, 10, ...
Fibonacci -Â
2, 4, 6, 10, 16, ...
Geometric -Â
2, 4, 8, 16, 32, ...