Sequences (8300 - Higher - 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 sequences	other recursive sequences will be defined in the question
A25	Deduce expressions to calculate the nth term of linear and quadratic sequences

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

Nth term of quadratic sequences PowerPoint 1 (part of Higher tier teaching pack)

Downloadable resource in ppt format. 29/04/2016

2.4 MB

Nth term of quadratic sequences PowerPoint 2 (part of Higher tier teaching pack)

Downloadable resource in ppt format. 29/04/2016

1.4 MB

Nth term of quadratic sequences resources (part of Higher tier teaching pack)

Downloadable resource in doc format. 29/04/2016

297 KB

Quadratic Sequences

A comprehensive lesson developing the ideas for finding the formula for a linear sequence into finding the formula for a quadratic sequence, including those of the form an2+bn+c. You will need to register for a TES account to access this resource, this is free of charge. 11/06/2015

Standards Unit N13: Analysing Sequences

A lesson plan and resources involving arithmetic and geometric sequences and the use of algebraic and recursive formulae. 11/06/2015

Standards Unit N13: Analysing Sequences

A lesson plan and resources involving arithmetic and geometric sequences and the use of algebraic and recursive formulae. 11/06/2015

Farey Sequences

An interesting investigation in which students consider Farey sequences (special sequences of fractions) and answer some problem solving style questions.10/06/2015

Loopy

A sequence investigation involving a recursive formula to generate the terms. More able students could produce an algebraic proof of the deduced result.10/06/2015

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

Quadratic Sequences

Sequences

A detailed introduction to sequences which includes triangular and Fibonacci numbers and arithmetic and geometric sequences. Then ten questions which follow are quite demanding.10/06/2015

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

Squared Triangle and Cube Numbers

An interesting investigation about triangular and cube numbers and the manipulation of the algebraic formulae for these sequences - suitable for very able students.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, â�¦. The activity leads to a consideration of the golden ratio and a golden spiral. 10/06/2015

Algebraic manipulation and formulae - Worksheet 1

Downloadable resource in ppt format. 16/04/2010

1.1 MB

Algebraic manipulation and formulae - Worksheet 2

Downloadable resource in ppt format. 15/03/2010

1.4 MB

Sequences - Homework Sheet and Mark Scheme

Downloadable resource in doc format. 08/04/2010

195 KB 123 KB

Sequences - Lesson plan 2

Downloadable resource in doc format. 26/06/2010

67 KB