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- Year 9
Checking understanding of arithmetic sequences
I can appreciate that any term in an arithmetic sequence can be expressed in terms of its position in the sequence and generate any term.
- Year 9
Checking understanding of arithmetic sequences
I can appreciate that any term in an arithmetic sequence can be expressed in terms of its position in the sequence and generate any term.
Lesson details
Key learning points
- An arithmetic sequence can be identified through a common difference between consecutive terms.
- Arithmetic sequences can be represented visually as well as algebraically.
- The formula for the n^th term allows us to generate any term in the sequence based on its position.
Keywords
Arithmetic/linear sequence - An arithmetic (or linear) sequence is a sequence where the difference between successive terms is a constant
Common misconception
Pupils assume a sequence is arithmetic and only check the first few terms.
Encourage pupils to check all the terms of a sequence they are given to check that the pattern they think they have spotted is continuing.
To help you plan your year 9 maths lesson on: Checking understanding of arithmetic 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 understanding of arithmetic 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 Non-linear relationships unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.In the context of the arithmetic sequence 13, 20, 27, 34, 41, ..., you can call +7 the __________.
Q2.Match each arithmetic (linear) sequence to its term-to-term rule.
1, 5, 9, 13, 17, ... -Â
+4
-4, -1, 2, 5, 8, ... -Â
+3
2, -1, -4, -7, -10, ... -Â
-3
3, -4, -11, -18, -25, ... -Â
-7
3, 5, 7, 9, 11, ... -Â
+2
-32, -25, -18, -11, -4, ... -Â
+7
Q3.Select the terms that are in this arithmetic sequence: 7, 15, 23, 31, ...
Q4.Which of these terms are in the sequence described by "Start on 5 and add 3 each time"?
Q5.Select the expressions that have a value of 33 when $$n=10$$.
Q6.Find the value of the expression $$9-6n$$ when $$n=4$$.
Assessment exit quiz
6 Questions
Q1.An $$n^{\text{th}}$$ term expression such as $$7n-15$$ is called a ...
Q2.Which of the below are arithmetic sequences?
Q3.Match the $$n^{\text{th}}$$ term expression to the first term of the sequence.
$$6n+3$$ -Â
$$9$$
$$9n-5$$ -Â
$$4$$
$$4n+1$$ -Â
$$5$$
$$5n-3$$ -Â
$$2$$
$$2n-5$$ -Â
$$-3$$
$$9-3n$$ -Â
$$6$$
Q4.Which of the following are in the first five terms of the sequence $$5n-4$$?
Q5. Match each $$n^{\text{th}}$$ term expression to the $$50^{\text{th}}$$ term of the sequence. You may use a calculator.
$$2n-17$$ -Â
$$83$$
$$1.5n+7$$ -Â
$$82$$
$$0.6n+50$$ -Â
$$80$$
$$200-2.3n$$ -Â
$$85$$
$$234-3n$$ -Â
$$84$$
Q6.Which of these arithmetic sequences could be represented by this graph?
