Sequences (8300 - Foundation - Algebra)

Topic:Sequences

Specification references (in recommended teaching order)

Specification content Specification notes
A23
  • Generate terms of a sequence from either a term-to-term or a position-to-term rule

  • including from patterns and diagrams

A24
  • Recognise and use:
    • sequences of triangular, square and cube numbers
    • simple arithmetic progression
    • Fibonacci type sequences
    • quadratic sequences
    • and simple geometric progressions (`r^n` where `n` is an integer and `r` is a rational number > 0)

  • other recursive sequences will be defined in the question

A25
  • Deduce expressions to calculate the `n`th term of a linear sequence



The subject content (above) matches that set out in the Department for Education’s Mathematics GCSE subject content and assessment objectives document.

The expectation is that:

  • All students will develop confidence and competence with the content identified by standard type
  • All students will be assessed on the content identified by the standard and the underlined type; more highly attaining students will develop confidence and competence with all of this content
  • Only the more highly attaining students will be assessed on the content identified by bold type. The highest attaining students will develop confidence and competence with the bold content.

Teaching resources

Sequences - all resources for 3 year route map - zip folder
Downloadable resource in zip format. 16/10/2014
Topic overview and lesson plans
Downloadable resource in doc format. 16/10/2014

Lesson 2 Activity 1
Downloadable resource in doc format. 08/10/2014
Lesson 2 Activity 2
Downloadable resource in doc format. 08/10/2014
Lesson 3 Activity 1
Downloadable resource in pdf format. 08/10/2014

Extra Worksheet
Downloadable resource in doc format. 09/10/2014
Lesson 1 Worksheet 1
Downloadable resource in doc format. 08/10/2014
Lesson 2 Worksheet 1
Downloadable resource in doc format. 08/10/2014
Lesson 3 Worksheet 1
Downloadable resource in doc format. 08/10/2014
Lesson 3 Worksheet 2
Downloadable resource in doc format. 08/10/2014
Lesson 4 Worksheet 1
Downloadable resource in doc format. 08/10/2014
Lesson 4 Worksheet 2
Downloadable resource in doc format. 08/10/2014
Lesson 4 Worksheet 3
Downloadable resource in doc format. 08/10/2014
Lesson 4 Worksheet 4
Downloadable resource in doc format. 08/10/2014

Lesson 1 Homework sheet 1
Downloadable resource in doc format. 08/10/2014
Lesson 2 Homework sheet 1
Downloadable resource in doc format. 08/10/2014
Lesson 3 Homework sheet 1
Downloadable resource in doc format. 08/10/2014
Lesson 4 Homework sheet 1
Downloadable resource in doc format. 08/10/2014

Diagnostic Questions - Sequences 1
AQA have teamed up with Craig Barton's Diagnostic Questions website to share free diagnostic questions assessment for our new 2017 GCSE Maths specification.20/07/2017
Diagnostic Questions - Sequences 2
AQA have teamed up with Craig Barton's Diagnostic Questions website to share free diagnostic questions assessment for our new 2017 GCSE Maths specification.20/07/2017
Diagnostic Questions - Sequences 3
AQA have teamed up with Craig Barton's Diagnostic Questions website to share free diagnostic questions assessment for our new 2017 GCSE Maths specification.20/07/2017

Maths is Everywhere!
Sequences activity02/03/2015
National STEM Centre Sequences
Three packs of activities about sequences, starting with very basic generation of the terms of sequences, through to more open ended investigations. You will need to register for an account to access this resource, this is free of charge. 10/06/2015
Number Jumble
A nice starter activity in which the first five terms for some given sequences must be located in a number grid, in a similar style to a wordsearch. You will need to register for a TES account to access this resource, this is free of charge. 11/06/2015
Sequences
Sequences quiz02/03/2015
Sequences Quiz
A ten question online multiple choice quiz in which students must predict missing terms and the rules for various sequences including the use of algebraic expressions for linear sequences. 10/06/2015
Square, Triangular and Cube numbers
A fun starter activity in which students must use the digits 1- 9 to solve problem involving square, triangular and cube numbers. You will need to register for a TES account to access this resource, this is free of charge. 11/06/2015
Whirling Fibonacci Sequences
A practical activity in which students draw a sequence of squares with side lengths taken from the terms of the Fibonacci sequence 1, 1, 2, 3, 5, �. The activity leads to a consideration of the golden ratio and a golden spiral. 10/06/2015
Whirling Fibonacci Squares
Fibonacci squares activity02/03/2015

Number Sequences
Number sequences worksheet02/03/2015

Graphs - Lesson Plan
Discuss, Plot and Interpret Graphs Modelling Real Situations08/04/2010
Graphs - Powerpoint
Downloadable resource in ppt format. 04/04/2010
Graphs - Worksheet
Discuss, Plot and Interpret Graphs Modelling Real Situations05/04/2010
Sequences - Factors, primes and squares - Powerpoint
Downloadable resource in ppt format. 11/05/2010
Sequences - Finding a formula for a sequence - Powerpoint
Downloadable resource in ppt format. 09/05/2010
Sequences - Finding the Formula for a Linear Sequence - Lesson plan
Downloadable resource in doc format. 14/05/2010
Sequences - Generating sequences - Lesson Plan
Downloadable resource in doc format. 15/05/2010
Sequences - Homework sheets 1
Downloadable resource in doc format. 06/05/2010
Sequences - Line Up - Problem Sheet
Downloadable resource in doc format. 08/05/2010
Sequences - Patterns - Powerpoint
Downloadable resource in ppt format. 13/05/2010
Sequences - Problem Solving Chart - Problem Sheet
Downloadable resource in doc format. 07/05/2010
Sequences - The term-to-term rule - PowerPoint
Downloadable resource in ppt format. 10/05/2010

Topic Tests

8300 GCSE Foundation Function Machines Mark Scheme
Downloadable resource in pdf format. 14/12/2022
8300 GCSE Foundation Function Machines Topic Test
Downloadable resource in pdf format. 14/12/2022
8300 GCSE Foundation Sequences Mark Scheme
Downloadable resource in pdf format. 24/11/2022
8300 GCSE Foundation Sequences Topic Test
Downloadable resource in pdf format. 24/11/2022

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