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.

Fractions of Animals: What is three sevenths of a chicken, two thirds of a cat and 50% of a goat?

Seventeen Camels: Explain the mathematics of the classic ninteenth century fraction sharing story.

Sibling Count: How many boys and how many girls are there in the family?

Simplify: Simplify an algebraic fraction

Singers and Dancers: What fraction of the singers and dancers are both singers and dancers?

Single Fraction: Simplify an expression involving fractions, exponents and a square root.

Test Scores: Explore the misconception that when adding fractions you add both the numerators and the denominators

#### Fraction Foundations

Recognise simple fractions (halves, quarters and tenths) of whole numbers and shapes.

Transum.org/go/?to=fracfound

### 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 greater than one. 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...

### Exam-Style Questions:

There are almost a thousand exam-style questions unique to the Transum website.

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### 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 Wall: The traditional fraction wall diagram showing the relationship between simple fractions.

Fraction Spinners: Know the properties of the fractions randomly produced by the two spinners.

Fractions Kim's Game: A memory game to be projected to help the whole class recognise basic fractions.

Fractions Decimals Percentages: Revise the methods for converting fractions to decimals and percentages.

How old was Diophantus?: An ancient riddle which can be answered by solving an equation containing fractions.

### Fractions Activities:

Fraction Foundations: Recognise simple fractions (halves, quarters and tenths) of whole numbers and shapes.

Fraction Line: Arrange the fractions, shown in a variety of formats, in order from smallest to largest.

Equivalent Fractions: Practise finding equivalent fractions numerically and in fraction diagrams.

Equivalent Fraction Pairs: The traditional pairs or Pelmanism game adapted to test knowledge of equivalent fractions.

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.

Cheese and Onion Pies: Sort the fractions from smallest to largest.

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

Fraction Dissect: Draw lines to dissect the rectangles to make the given fractions.

Overloaded Fraction: A set of ten puzzles requiring you to arrange the given digits to make an equivalent fraction.

Fractions by Wholes: An exercise on multiplying and dividing proper fractions and mixed numbers by whole numbers.

Express as a Fraction: Express one quantity as a fraction of another, where the fraction could be less than 1 or a mixed number.

Fractions: A series of self-marking exercises on adding, subtracting, multiplying and dividing fractions.

Boxed In Fractions: The classic dots and boxes two-player game with the addition of some fractions which determine your score.

Fractionagons: Calculate the missing fractions in these partly completed arithmagon puzzles.

Fickle Fractions: Compare pairs of fractions to identify the largest or smallest in order to move through the maze.

Fraction of ...: Practise your ability to find a fraction of a given amount with this self marking exercise.

Fraction Percentage: Match the fraction with the equivalent percentage. A drag and drop self marking exercise.

Fraction Decimal Pairs: The traditional pairs or Pelmanism game adapted to test knowledge of simple fractions and their equivalent decimals.

Fraction Percentage Pairs: The traditional pairs or Pelmanism game adapted to test knowledge of simple fractions and their equivalent percentages.

Particular Pipes: Construct the pipes using a set number of pieces with lengths given as fractions, decimals or percentages.

Improper Fractions: A self-marking online exercise on converting improper fractions to mixed numbers and vice versa.

Mixed Numbers: A self marking quiz about the application of the four operations to mixed numbers.

Ratios vs Fractions: Relate the language of ratios and the associated calculations to the arithmetic of fractions.

Fractions, Decimals, Percentages: An exercise on converting fractions to decimals, decimals to percentages and percentages to fractions.

Solve To Find Fractions: Find the value of the unknown in each of these linear equations. All of the answers are fractions

All For One: Drag the numbers one to nine onto the outlines of three fractions that combine to make one.

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.

Circumfraction: Quite a challenging number placing puzzle involving fractions.

Recurring Decimals: Change recurring decimals into their corresponding fractions and vica versa.

Algebraic Fractions: A mixture of algebraic fraction calculations and simplifications.

Equations with Fractions: Practise solving linear equations that contain fractions in this multi-level exercise.

Finally there is Topic Test, a set of 10 randomly chosen, multiple choice questions suggested by people from around the world.

### Fractions Videos:

Transum's Fractions Video

Fraction Basics Song: A free trial lesson from Math Upgrade dot com.

Fractions Video: So many people can't remember how to add, subtract, multiply and divide fractions so here is a reminder.

Improper Fractions Level 1: Converting improper fractions to mixed numbers. The video is to help you do the online exercise.

Improper Fractions Level 2: Find out how to change a mixed number into an improper fraction. This video is to help you do the online, self-marking exercise.

Improper Fractions Level 3: Learn how to convert an improper fraction to a mixed number in its lowest terms.

Mixed Numbers: Revise the methods for adding, subtracting, multiplying and dividing mixed numbers (fractions) by watching this video.

Fractions Decimals Percentages Video: A reminder of the quick methods of converting between fractions, decimals and percentages.

Equations with Fractions Video: If you have learnt how to solve linear equations the next step is to solve equations with fractions.

### 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:

### Search

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### Other

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#### Equations with Fractions

Practise solving linear equations that contain fractions in this multi-level exercise.

Transum.org/go/?to=fqu

### Teaching Notes:

Many Transum activities have notes for teachers suggesting teaching methods and highlighting common misconceptions. There are also solutions to puzzles, exercises and activities available on the web pages when you are signed in to your Transum subscription account. If you do not yet have an account and you are a teacher, tutor or parent you can apply for one by completing the form on the Sign Up page.

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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.

"

Transum,

Thursday, March 1, 2018

"A strange hotel in Thailand has a floor five and a third.

"

Catherine Guyan, New Zealand

Wednesday, June 26, 2024

"Hi, I feel a little rude asking this as I love Transum and it continuously for my students .... please may we have some simpler versions of ordering fractions? a few extra lower levels? Maybe some simpler levels of Fickle Fractions (one of my favourites!).
I know Transum is aimed a little higher than what I am asking, but it is such an amazing resource. I work with Special Needs students who are mainstreamed so Transum allows them to feel normal, but some activities are too hard too fast.
Ordering fractions like the pies, but with only 1 as the numerator.
Fickle Fractions but only comparing basic fractions (again only 1 as the numerator).
Matching pairs but again just a simple match the symbol with the correct picture with no simplifying/equivalent fractions.
practise with making equivalent fractions for just one fraction ie a half
An exploration of a fraction form of 1 - different ways to write 1 and what happens when you multiply it.
Thank you for all the work that goes into Transum, it has made an enormous difference to the Mathematical understanding of so many students and is so enjoyable!

[Transum: Thanks so much for your suggestions Catherine. I'll build the ideas into future developments. So pleased that Transum has made an enormous difference to the Mathematical understanding of so many of your students]"

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