Securing understanding of sequences
I can begin to generalise a sequence.
Securing understanding of sequences
I can begin to generalise a sequence.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- Sequences can be continued using a rule.
- This rule can be demonstrated with a diagram.
- This rule can be described in words.
Keywords
Sequence - A sequence is a succession of objects, diagrams or values usually formed according to a rule.
Common misconception
That sequences can only have constant additive or multiplicative patterns.
Give students two numbers and get them to carry the sequence on in different ways. Anything they come up with can be a sequence.
To help you plan your year 8 maths lesson on: Securing understanding of sequences, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 8 maths lesson on: Securing understanding of 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 Sequences unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Starter quiz
6 Questions
$$10\div 2$$ -
The multiplier for a constant multiplicative rule
$$10\times 5$$ -
The next value in a constant multiplicative sequence
$$10 - 2$$ -
The value being added in a constant additive sequence
$$10 + 8$$ -
The next value in a constant additive sequence
$$2\div 5$$ -
The previous value in a constant multiplicative sequence
$$2 - 8$$ -
The previous value in a constant additive sequence
$$(-12) + (-6) $$ -
-18
$$(-12)\div (-6)$$ -
2
$$(-12)-(-6)$$ -
-6
$$(-12)\times (-6)$$ -
72
$$12\times (-6)$$ -
-72
$$12\div (-6)$$ -
-2
$$1\over 2$$ -
$${4\over 5}-{3\over 10} $$
$$11\over 10$$ -
$${4\over 5}+{3\over 10} $$
$$8\over 3$$ -
$${4\over 5}\div{3\over 10} $$
$$6\over 25$$ -
$${4\over 5}\times{3\over 10}$$
$$25\over 6$$ -
$$5\times{5\over 6}$$
$$6$$ -
$$5\div{5\over 6}$$
Exit quiz
6 Questions









..., 25, 35, ... -
add 10
..., 45, 135, ... -
multiply by 3
..., 45, 95, ... -
add 10, add 30, add 50, add 70....
..., 35, 75, ... -
double the previous value then add 5
..., 35, 65, ... -
add 10, add 20, add 30, add 40 ...
..., 55, 215, ... -
multiply by 4 then subtract 5