Myths about teaching can hold you back
- Year 11•
- Higher
Checking and securing rules for generating arithmetic sequences
I can identify the term-to-term rule and the position-to-term rule and express the latter algebraically.
- Year 11•
- Higher
Checking and securing rules for generating arithmetic sequences
I can identify the term-to-term rule and the position-to-term rule and express the latter algebraically.
Lesson details
Key learning points
- The term-to-term rule is the common difference.
- Finding the common difference can help when finding the n^th term rule.
- Comparing the sequence to an appropriate multiplication table can help identify the translation that has been made.
- The n^th term can be found for all arithmetic sequences.
Keywords
Arithmetic sequence - An arithmetic (or linear) sequence is a sequence where the difference between successive terms is a constant.
N^th term - The n^th term of a sequence is the position of a term in a sequence where n stands for the term number.
Common misconception
Arithmetic sequences only have a positive integer as the common difference.
Arithmetic sequences can be increasing or decreasing and can have any value for the common difference.
To help you plan your year 11 maths lesson on: Checking and securing rules for generating arithmetic sequences, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 11 maths lesson on: Checking and securing rules for generating 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 4 maths lessons from the Further sequences 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 sequence $$3, 7, 11, 15, 19, ...$$ 'add four' is the __________.
Q2.What is the next term in this sequence? $$17, 23, 29, 35,$$
Q3.What is the next term in this sequence? $$18, 11, 4, -3, ...$$
Q4.What is the common additive difference in this sequence? $$4, -1, -6, -11, ...$$
Q5.What is the next term in this sequence? $$1, 3, 6, 10, 15, ...$$
Q6.What is the $$10^\text{th}$$ term in this sequence? $$-11, -2, 7, 16, 25, ...$$
Assessment exit quiz
6 Questions
Q1.$$4,5,7,8,10,11,13, ...$$ is not an arithmetic sequence because __________.
Q2.What is the next term in this arithmetic sequence? $$7, 18, 29, ...$$
Q3.What is the next term in this arithmetic sequence? $$41, 189, ...$$
Q4.Which of these are arithmetic sequences?
Q5.What is the $$n^\text{th}$$ term rule of this arithmetic sequence? $$9, 16, 23, 30, ...$$
Q6.What is the $$n^\text{th}$$ term rule of this arithmetic sequence? $$1, 0.4, -0.2, -0.8, ...$$