Fractions A
Term 1 starting in week 8 :: Estimated time: 2 weeks
- Equivalent fractions and simplifying
- Equivalent fractions on a number line
- Compare and order (denominator)
- Compare and order (numerator)
- Add and subtract simple fractions
- Add and subtract any two fractions
- Add mixed numbers
- Subtract mixed numbers
- Multi-step problems
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Activities for pupils
Here are some related resources in alphabetical order. Some may only be appropriate for high-attaining learners while others will be useful for those in need of support. Click anywhere in the grey area to access the resource.
Equivalent Fractions Video Learn about equivalent fractions and how to express fractions in their lowest terms.
Snappy Sorting Sort the numbers in to the correct order as fast as you can.
Fraction Foundations Recognise simple fractions (halves, quarters and tenths) of whole numbers and shapes.
Fraction Wall The traditional fraction wall diagram showing the relationship between simple fractions.
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.
Visualise Percentages If you can picture in your mind what a percentage looks like you may be better able to preform mental calculations.
Fractions Kim's Game A memory game to be projected to help the whole class recognise basic fractions.
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 Video So many people can't remember how to add, subtract, multiply and divide fractions so here is a reminder.
Convoluted Find the runs of four multiples in order as quickly as you can.
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.
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 Revise the methods for adding, subtracting, multiplying and dividing mixed numbers (fractions) by watching this video.
Mixed Numbers A self marking quiz about the application of the four operations to mixed numbers.
Fractions, Decimals, Percentages An exercise on converting fractions to decimals, decimals to percentages and percentages to fractions.
Fractions Decimals Percentages Video A reminder of the quick methods of converting between fractions, decimals and percentages.
Circumfraction Quite a challenging number placing puzzle involving fractions.
Click on a topic below for suggested lesson Starters, resources and activities from Transum.
- Fractions 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.
- Percentages Percentages provide a useful and common way to express a part of a quantity. The word is derived from the Latin per centum meaning “by the hundred”. Although percentages are usually used to express numbers between zero and one, any ratio can be expressed as a percentage. Pupils begin working with common percentages such as 50%, 25% and 10% and practise estimating percentages to get a better understanding of the concept. They then learn how to convert percentages to decimals and vulgar fractions and vice versa. More advanced problem solving may include percentage change and how it is applied in real life to discounts and interest. A study of the use of percentages in the media can provide many discussion points and can provide a stimulus for classroom display work.
Lesson Starters
Here are some suggestions for whole-class, projectable resources which can be used at the beginnings of each lesson in this block.
1st Lesson
Coins On The Table
A puzzle about the number of coins on a table given information about fractions of them.
2nd Lesson
Fractangle
Can you see what fractions of the shapes have been shaded? It is not as difficult as it first appears.
3rd Lesson
Giraffe
The height of this giraffe is three and a half metres plus half of its height. How tall is the giraffe?
4th Lesson
Halloween
Five problems with a Halloween theme.
5th Lesson
Inbetweens
Find fractions between two given values.
6th Lesson
Two Thirds
Make a poster showing a variety of calculations that give the answer two thirds.
Some of the Starters above are to reinforce concepts learnt, others are to introduce new ideas while others are on unrelated topics designed for retrieval practice or and opportunity to develop problem-solving skills.
