Sequences Starters:Add 'em: Add up a sequence of consecutive numbers. Can you find a quick way to do it? House Numbers: The numbers on five houses next to each other add up to 70. What are those five numbers? Missing Terms: Find the missing terms from these linear sequences. One one: Continue the given number pattern with the help of a little lateral thinking. Sea Shells: A question which can be best answered by using algebra. Sequence Dancing: Find the next term of the number sequences. Sign Sequences: Continue the sequences if you can work out the rule. Spider Sequences: Find the next term of the given number sequences. Can you also find a general rule for predicting the nth term of the sequence? To Be Continued: Work out the next term in the given sequences. Windmill Sequence: Find the value of the missing term of the sequence. It is easier than you may think!
Small images of these Starters    Complete Index of Starters
Curriculum for Sequences:Year 6Pupils should be taught to generate and describe linear number sequences more... Years 7 to 9Pupils should be taught to generate terms of a sequence from either a termtoterm or a positiontoterm rule more... Pupils should be taught to recognise arithmetic sequences and find the nth term more... Pupils should be taught to recognise geometric sequences and appreciate other sequences that arise. more... Years 10 and 11Pupils should be taught to recognise and use sequences of triangular, square and cube numbers, simple arithmetic progressions, Fibonacci type sequences, quadratic sequences, and simple geometric progressions (r^{n} where n is an integer, and r is a positive rational number {or a surd}) {and other sequences} more... Pupils should be taught to deduce ex Feedback:Comment recorded on the 18 September 'Starter of the Day' page by Mrs. Peacock, Downe House School and Kennet School: "My year 8's absolutely loved the "Separated Twins" starter. I set it as an optional piece of work for my year 11's over a weekend and one girl came up with 3 independant solutions." Comment recorded on the 28 May 'Starter of the Day' page by L Smith, Colwyn Bay: "An absolutely brilliant resource. Only recently been discovered but is used daily with all my classes. It is particularly useful when things can be saved for further use. Thank you!" Comment recorded on the 10 April 'Starter of the Day' page by Mike Sendrove, Salt Grammar School, UK.: "A really useful set of resources  thanks. Is the collection available on CD? Are solutions available?" Comment recorded on the 12 July 'Starter of the Day' page by Miss J Key, Farlingaye High School, Suffolk: "Thanks very much for this one. We developed it into a whole lesson and I borrowed some hats from the drama department to add to the fun!" Comment recorded on the 8 May 'Starter of the Day' page by Mr Smith, West Sussex, UK: "I am an NQT and have only just discovered this website. I nearly wet my pants with joy. Comment recorded on the 1 May 'Starter of the Day' page by Phil Anthony, Head of Maths, Stourport High School: "What a brilliant website. We have just started to use the 'starteroftheday' in our yr9 lessons to try them out before we change from a high school to a secondary school in September. This is one of the best resources online we have found. The kids and staff love it. Well done an thank you very much for making my maths lessons more interesting and fun." Comment recorded on the 1 February 'Starter of the Day' page by M Chant, Chase Lane School Harwich: "My year five children look forward to their daily challenge and enjoy the problems as much as I do. A great resource  thanks a million." Comment recorded on the 6 May 'Starter of the Day' page by Natalie, London: "I am thankful for providing such wonderful starters. They are of immence help and the students enjoy them very much. These starters have saved my time and have made my lessons enjoyable." Comment recorded on the 14 October 'Starter of the Day' page by Inger Kisby, Herts and Essex High School: "Just a quick note to say that we use a lot of your starters. It is lovely to have so many different ideas to start a lesson with. Thank you very much and keep up the good work." Comment recorded on the 9 October 'Starter of the Day' page by Mr Jones, Wales: "I think that having a starter of the day helps improve maths in general. My pupils say they love them!!!" 
Notes:A pattern of numbers following a rule is called a sequence. There are many different types of sequence and this topic introduces pupils to some of them. Sequences Teacher Resources:Counter: A dynamic visual aid that counts! Choose the first term, common difference and the speed Mystic Rose: Investigate the properties of the Mystic Rose by using this interactive diagram. Sequence Generator: An online app which produces number sequences as words. Sequences Activities:Arithmetic Sequences: An exercise on linear sequences including finding an expression for the nth term and the sum of n terms. Fibonacci Quest: A number of self marking quizzes based on the fascinating Fibonacci Sequence. Geometric Sequences: An exercise on geometric sequences including finding the nth term and the sum of any number of terms. Interest: Practise using the formulas for simple interest and compound interest. Iteration: Find approximate solutions to equations numerically using iteration. Matchstick Patterns: Create a formula to describe the nth term of a sequence by examining the structure of the diagrams. Missing Terms: Can you work out which numbers are missing from these number sequences? Quadratic Sequences: Deduce expressions to calculate the nth term of quadratic sequences. Tower of Hanoi: Move the pieces of the tower from one place to another in the minimum number of moves. Watsadoo: Rotate the cogs to catch the flying numbers in the correct sections. Finally there is Topic Test, a set of 10 randomly chosen, multiple choice questions suggested by people from around the world. Alternatively, for the more advanced student, there is an evergrowing collection of ExamStyle Questions with worked solutions on the topic of Sequences. Sequences Investigations:Aunt Lucy's Legacy: Decide which of the four schemes Aunt Lucy proposes will provide the most money. This investigation involves the sum of sequences as well as considering life expectancy. Four Ever: Generate a number sequence based on the number of letters needed to spell the previous number. Mystic Rose: Investigate the properties of the Mystic Rose by using this interactive diagram. Steps: Investigate this growing sequence of steps. Tower of Hanoi: Move the pieces of the tower from one place to another in the minimum number of moves. Sequences Videos:Nature By Numbers: Cristóbal Vila created this short animated film that deals with geometric formulas that appear in nature such as the Fibonacci Sequence. The magic of Fibonacci numbers: Arthur Benjamin gives a TED talk on Fibonacci numbers. Sequences Worksheets/Printables:How Many Squares? 1: A printable grid containing many copies of the design used in the shape counting Starter. How Many Squares? 2: A printable grid containing many copies of the design used in the second shape counting Starter. Mystic Roses: Eighteen mystic roses to print out to help with the investigation. Sequences External Links:Links to other websites containing resources for Sequences are provided for those logged into 'Transum Mathematics'. Subscribing also opens up the opportunity for you to add your own links to this panel. You can sign up using one of the buttons below: SearchThe activity you are looking for may have been classified in a different way from the way you were expecting. You can search the whole of Transum Maths by using the box below.
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