Features of special number sequences
I can appreciate the features of special number sequences, such as square, triangular and cube.
Features of special number sequences
I can appreciate the features of special number sequences, such as square, triangular and cube.
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Lesson details
Key learning points
- Square number sequences are formed by squaring the position within the sequence.
- Cube number sequences are formed by cubing the position within the sequence.
- Triangular number sequences are formed by increasing the difference by one between each consecutive term.
- These special number sequences can be represented visually.
Keywords
Triangular number - A triangular number is a number that can be represented by a pattern of dots arranged into an equilateral triangle. The term number is the number of dots in a side of the triangle
Common misconception
Square numbers are any number that can be squared.
Give students counters or let them draw dot patterns to explore square numbers geometrically as well as numerically.
To help you plan your year 9 maths lesson on: Features of special number sequences, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 9 maths lesson on: Features of special number 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.
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The assessment exit quiz will test your pupils' understanding of the key learning points.
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Explore more key stage 3 maths lessons from the Non-linear relationships unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Lesson video
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Starter quiz
6 Questions
4, 12, 36, 108, ... -
multiply previous term by 3 to get the next term
4, 12, 20, 28, .... -
add 8 to the previous term to get the next term
4, 12, 22, 34, ... -
add 8, then add 10, increasing the difference by 2 each time
4, 12, 21, 31, ... -
add 8, then add 9, increasing the difference by 1 each time
4, 12, 28, 60, ... -
multiply the previous term by 2 and add 4 to get the next term
Exit quiz
6 Questions
24 -
$$4^{th}$$ square number + $$2^{nd}$$ cube number
122 -
$$1^{st}$$ triangular number + $$11^{th}$$ square number
100 -
$$9^{th}$$ triangular number + $$10^{th}$$ triangular number
140 -
$$5^{th}$$ cube number + $$5^{th}$$ triangular number
8 -
$$6^{th}$$ square number − $$7^{th}$$ triangular number
0 -
$$8^{th}$$ square number − $$4^{th}$$ cube number
