There are 366 different Starters of The Day, many to choose from. You will find in the left column below some starters on the topic of Fractions. In the right column below are links to related online activities, videos and teacher resources.

A lesson starter does not have to be on the same topic as the main part of the lesson or the topic of the previous lesson. It is often very useful to revise or explore other concepts by using a starter based on a totally different area of Mathematics.

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### 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.

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

#### Vinculum

A challenge to find fractions which are larger than the previous fraction but less than one.

Transum.org/go/?to=vinculum

### Curriculum for Fractions:

#### Year 5

Pupils 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 6

Pupils 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 9

Pupils 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 72 or 0.375 and 38 ) more...

Pupils should be taught to interpret fractions and percentages as operators more...

#### Years 10 and 11

Pupils 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 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 17 June 'Starter of the Day' page by Mr Hall, Light Hall School, Solihull:

"Dear Transum,

I love you website I use it every maths lesson I have with every year group! I don't know were I would turn to with out you!"

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.
Thanks for such a great resource!"

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 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 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 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 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 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 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 'starter-of-the-day' 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 on-line 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 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 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 7 December 'Starter of the Day' page by Cathryn Aldridge, Pells Primary:

"I use Starter of the Day as a registration and warm-up activity for my Year 6 class. The range of questioning provided is excellent as are some of the images.
I rate this site as a 5!"

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 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.
Thanks again"

Comment recorded on the 16 March 'Starter of the Day' page by Mrs A Milton, Ysgol Ardudwy:

"I have used your starters for 3 years now and would not have a lesson without one! Fantastic way to engage the pupils at the start of a lesson."

Comment recorded on the 9 May 'Starter of the Day' page by Liz, Kuwait:

"I would like to thank you for the excellent resources which I used every day. My students would often turn up early to tackle the starter of the day as there were stamps for the first 5 finishers. We also had a lot of fun with the fun maths. All in all your resources provoked discussion and the students had a lot of fun."

Comment recorded on the 14 September 'Starter of the Day' page by Trish Bailey, Kingstone School:

"This is a great memory aid which could be used for formulae or key facts etc - in any subject area. The PICTURE is such an aid to remembering where each number or group of numbers is - my pupils love it!
Thanks"

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 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 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 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 25 June 'Starter of the Day' page by Inger.kisby@herts and essex.herts.sch.uk, :

"We all love your starters. It is so good to have such a collection. We use them for all age groups and abilities. Have particularly enjoyed KIM's game, as we have not used that for Mathematics before. Keep up the good work and thank you very much
Best wishes from Inger Kisby"

Comment recorded on the s /Coordinate 'Starter of the Day' page by Greg, Wales:

"Excellent resource, I use it all of the time! The only problem is that there is too much good stuff here!!"

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.
Could we have some on angles too please?"

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 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 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 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.

Pupils, at all stages of their learning, should practise using fractions. From dealing with halves, the most basic fraction, to manipulating algebraic fractions containing surds, this topic is always relevant. Proficiency also depends on reasonable numeracy skills particularly the multiplication tables and finding the lowest common multiple of two numbers. Pupils also need to be able to convert vulgar fractions to decimals and percentages and vice versa.

Be wary of teaching the 'rules' for manipulation fractions by rote. Pupils need to understand the reason why and the time-honoured key to understanding starts with the imaginary pizza and the much-used fraction wall.

### 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 self-marking 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 self-marking 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?

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:

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#### Algebraic Fractions

A mixture of algebraic fraction calculations and simplifications.

Transum.org/go/?to=algfrac

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