Fractions Starters:Coins On The Table: A puzzle about the number of coins on a table given information about fractions of them. Fractangle: Can you see what fractions of the shapes have been shaded? It is not as difficult as it first appears. Fraction Order: Arrange the fractions and decimals in order from smallest to largest. Fractions Decimals Percentages: Convert fractions to decimals, decimals to percentages and percentages to fractions. Giraffe: The height of this giraffe is three and a half metres plus half of its height. How tall is the giraffe? Half Hearted: Find the number which when added to the top (numerator) and bottom (denominator) of each fraction make it equivalent to one half. Halloween: Five problems with a Halloween theme. Inbetweens: Find fractions between two given values. Loopy Lake: Match the fractions to their decimal equivalents and join them with lines that do not cross. One Fifth: Investigate three fractions which add together to give one fifth. One Ninth: Investigate three fractions which add together to give one ninth. Recurring Decimal: Use your calculator to find which whole number divided by another whole number gives a recurring decimal. Refreshing Revision: It is called Refreshing Revision because every time you refresh the page you get different revision questions. Two Thirds: Make a poster showing a variety of calculations that give the answer two thirds.
Small images of these Starters :: Index of Starters Fractions Advanced Starters:Doctor's Son: The doctor's son's age does not add up! Four Fraction Division: Explain why the answer to a series of fraction divisions is a whole number. Seventeen Camels: Explain the mathematics of the classic ninteenth century fraction sharing story. Simplify: Simplify an algebraic fraction Single Fraction: Simplify an expression involving fractions, exponents and a quare root. Test Scores: Explore the misconception that when adding fractions you add both the numerators and the denominators
Curriculum for Fractions:Year 5Pupils should be taught to compare and order fractions whose denominators are all multiples of the same number more... Pupils should be taught to identify, name and write equivalent fractions of a given fraction, represented visually, including tenths and hundredths more... Pupils should be taught to recognise mixed numbers and improper fractions and convert from one form to the other and write mathematical statements > 1 as a mixed number [for example ⅖ + ⅘ = 1 ⅕] more... Pupils should be taught to add and subtract fractions with the same denominator and denominators that are multiples of the same number more... Pupils should be taught to multiply proper fractions and mixed numbers by whole numbers, supported by materials and diagrams more... Pupils should be taught to solve problems involving multiplication and division, including scaling by simple fractions and problems involving simple rates more... Pupils should be taught to solve problems which require knowing percentage and decimal equivalents of ½, ¼, ⅕, ⅖, ⅘ and those fractions with a denominator of a multiple of 10 or 25 more... Year 6Pupils should be taught to use common factors to simplify fractions; use common multiples to express fractions in the same denomination more... Pupils should be taught to compare and order fractions, including fractions > 1 more... Pupils should be taught to add and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions more... Pupils should be taught to multiply simple pairs of proper fractions, writing the answer in its simplest form more... Pupils should be taught to solve problems involving unequal sharing and grouping using knowledge of fractions and multiples. more... Pupils should be taught to divide proper fractions by whole numbers more... Pupils should be taught to associate a fraction with division and calculate decimal fraction equivalents [for example, 0.375] for a simple fraction more... Pupils should be taught to recall and use equivalences between simple fractions, decimals and percentages, including in different contexts. more... Years 7 to 9Pupils should be taught to order positive and negative integers, decimals and fractions; use the number line as a model for ordering of the real numbers; use the symbols =, ≠, <, >, ≤, ≥ more... Pupils should be taught to express one quantity as a fraction of another, where the fraction is less than 1 and greater than 1 more... Pupils should be taught to use the four operations, including formal written methods, applied to integers, decimals, proper and improper fractions, and mixed numbers, all both positive and negative more... Pupils should be taught to understand that a multiplicative relationship between two quantities can be expressed as a ratio or a fraction more... Pupils should be taught to work interchangeably with terminating decimals and their corresponding fractions (such as 3.5 and ^{7}⁄_{2} or 0.375 and ^{3}⁄_{8} ) more... Pupils should be taught to interpret fractions and percentages as operators more... Years 10 and 11Pupils should be taught to calculate exactly with fractions, {surds} and multiples of π ; {simplify surd expressions involving squares [for example √12 = √(4 × 3) = √4 × √3 = 2√3] and rationalise denominators} more... Feedback:Comment recorded on the 7 December 'Starter of the Day' page by Cathryn Aldridge, Pells Primary: "I use Starter of the Day as a registration and warmup activity for my Year 6 class. The range of questioning provided is excellent as are some of the images. 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 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 1 August 'Starter of the Day' page by Peter Wright, St Joseph's College: "Love using the Starter of the Day activities to get the students into Maths mode at the beginning of a lesson. Lots of interesting discussions and questions have arisen out of the activities. 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 28 September 'Starter of the Day' page by Malcolm P, Dorset: "A set of real life savers!! Comment recorded on the 5 April 'Starter of the Day' page by Mr Stoner, St George's College of Technology: "This resource has made a great deal of difference to the standard of starters for all of our lessons. Thank you for being so creative and imaginative." Comment recorded on the 24 May 'Starter of the Day' page by Ruth Seward, Hagley Park Sports College: "Find the starters wonderful; students enjoy them and often want to use the idea generated by the starter in other parts of the lesson. Keep up the good work" Comment recorded on the 2 April 'Starter of the Day' page by Mrs Wilshaw, Dunsten Collage,Essex: "This website was brilliant. My class and I really enjoy doing the activites." 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 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!!!" Comment recorded on the 21 October 'Starter of the Day' page by Mr Trainor And His P7 Class(All Girls), Mercy Primary School, Belfast: "My Primary 7 class in Mercy Primary school, Belfast, look forward to your mental maths starters every morning. The variety of material is interesting and exciting and always engages the teacher and pupils. Keep them coming please." Comment recorded on the 2 May 'Starter of the Day' page by Angela Lowry, : "I think these are great! So useful and handy, the children love them. Comment recorded on the 3 October 'Starter of the Day' page by Fiona Bray, Cams Hill School: "This is an excellent website. We all often use the starters as the pupils come in the door and get settled as we take the register." Comment recorded on the 10 September 'Starter of the Day' page by Carol, Sheffield PArk Academy: "3 NQTs in the department, I'm new subject leader in this new academy  Starters R Great!! Lovely resource for stimulating learning and getting eveyone off to a good start. Thank you!!" Comment recorded on the 3 October 'Starter of the Day' page by S Mirza, Park High School, Colne: "Very good starters, help pupils settle very well in maths classroom." Comment recorded on the 17 June 'Starter of the Day' page by Mr Hall, Light Hall School, Solihull: "Dear Transum, Comment recorded on the 9 April 'Starter of the Day' page by Jan, South Canterbury: "Thank you for sharing such a great resource. I was about to try and get together a bank of starters but time is always required elsewhere, so thank you." Comment recorded on the 23 September 'Starter of the Day' page by Judy, Chatsmore CHS: "This triangle starter is excellent. I have used it with all of my ks3 and ks4 classes and they are all totally focused when counting the triangles." 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 11 January 'Starter of the Day' page by S Johnson, The King John School: "We recently had an afternoon on accelerated learning.This linked really well and prompted a discussion about learning styles and short term memory." Comment recorded on the 19 October 'Starter of the Day' page by E Pollard, Huddersfield: "I used this with my bottom set in year 9. To engage them I used their name and favorite football team (or pop group) instead of the school name. For homework, I asked each student to find a definition for the key words they had been given (once they had fun trying to guess the answer) and they presented their findings to the rest of the class the following day. They felt really special because the key words came from their own personal information." 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 26 March 'Starter of the Day' page by Julie Reakes, The English College, Dubai: "It's great to have a starter that's timed and focuses the attention of everyone fully. I told them in advance I would do 10 then record their percentages." Comment recorded on the 3 October 'Starter of the Day' page by Mrs Johnstone, 7Je: "I think this is a brilliant website as all the students enjoy doing the puzzles and it is a brilliant way to start a lesson." 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 19 June 'Starter of the Day' page by Nikki Jordan, Braunton School, Devon: "Excellent. Thank you very much for a fabulous set of starters. I use the 'weekenders' if the daily ones are not quite what I want. Brilliant and much appreciated." Comment recorded on the 1 February 'Starter of the Day' page by Terry Shaw, Beaulieu Convent School: "Really good site. Lots of good ideas for starters. Use it most of the time in KS3." Comment recorded on the 17 November 'Starter of the Day' page by Amy Thay, Coventry: "Thank you so much for your wonderful site. I have so much material to use in class and inspire me to try something a little different more often. I am going to show my maths department your website and encourage them to use it too. How lovely that you have compiled such a great resource to help teachers and pupils. Comment recorded on the 19 November 'Starter of the Day' page by Lesley Sewell, Ysgol Aberconwy, Wales: "A Maths colleague introduced me to your web site and I love to use it. The questions are so varied I can use them with all of my classes, I even let year 13 have a go at some of them. I like being able to access the whole month so I can use favourites with classes I see at different times of the week. Thanks." 
Notes:A fraction is a part of a number. Fractions are either vulgar or decimal. Vulgar fractions can be proper, improper or mixed. Equivalent fractions have the same value. Fractions Teacher Resources:Fraction Spinners: Know the properties of the fractions randomly produced by the two spinners. Fraction Wall: The traditional fraction wall diagram showing the relationship between simple fractions. Fractions Decimals Percentages: Revise the methods for converting fractions to decimals and percentages. Fractions Kim's Game: A memory game to be projected to help the whole class recognise basic fractions. How old was Diophantus?: An ancient riddle which can be answered by solving an equation containing fractions. Fractions Activities:Algebraic Fractions: A mixture of algebraic fraction calculations and simplifications. Cheese and Onion Pies: Sort the fractions from smallest to largest. Circumfraction: Quite a challenging number placing puzzle involving fractions. Equivalent Fraction Pairs: The traditional pairs or Pelmanism game adapted to test knowledge of equivalent fractions. Equivalent Fractions: Practise finding equivalent fractions numerically and in fraction diagrams. Express as a Fraction: Express one quantity as a fraction of another, where the fraction could be less than 1 or a mixed number. Fraction Decimal Pairs: The traditional pairs or Pelmanism game adapted to test knowledge of simple fractions and their equivalent decimals. Fraction Dissect: Draw lines to dissect the rectangles to make the given fractions. Fraction Line: Arrange the fractions in order from smallest to largest. Fraction Matcher: Match shapes and numbers in this fractions activity. Challenge yourself on many levels. Fraction Order: Arrange the fractions and decimals in order from smallest to largest. Fraction Percentage: Match the fraction with the equivalent percentage. A drag and drop self marking exercise. Fraction Percentage Pairs: The traditional pairs or Pelmanism game adapted to test knowledge of simple fractions and their equivalent percentages. Fractions: A series of selfmarking exercises on adding, subtracting, multiplying and dividing fractions. Fractions by Wholes: An exercise on multiplying and dividing proper fractions and mixed numbers by whole numbers. Fractions, Decimals, Percentages: An exercise on converting fractions to decimals, decimals to percentages and percentages to fractions. Improper Fractions: A selfmarking online exercise on converting improper fractions to mixed numbers and vice versa. Inequalities: Check that you know what inequality signs mean and how they are used to compare two quantities. Includes negative numbers, decimals, fractions and metric measures. Mixed Numbers: A self marking quiz about the application of the four operations to mixed numbers. Particular Pipes: Construct the pipes using a set number of pieces with lengths given as fractions, decimals or percentages. Recurring Decimals: Change recurring decimals into their corresponding fractions and vica versa. Vinculum: A challenge to find fractions which are larger than the previous fraction but less than one. Finally there is Topic Test, a set of 10 randomly chosen, multiple choice questions suggested by people from around the world. Fractions Videos:Fraction Basics Song: A free trial lesson from Math Upgrade dot com. Fractions addition and subtraction trick: Forget finding common denominators when adding dissimilar fractions  this way is much faster and easier. Fractions on the number line: Practice plotting values on the number line as a passionate activist rises up and demands equity for all numbers, including fractions and decimals. Fractions Worksheets/Printables:Take Sides Questions: Thirty pairs of numbers or calculations. Which one of the pair is the largest? Fractions External Links:Links to other websites containing resources for Fractions 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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Shirtbox,
Sunday, July 16, 2017
"Three out of two people have trouble with fractions!"
Transum,
Thursday, March 1, 2018
"Photograph taken at King's Cross station in London.
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Transum,
Thursday, March 1, 2018
"A strange hotel in Thailand has a floor five and a third.
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