Fractions A
Term 1 starting in week 9 :: Estimated time: 4 weeks
- Find fractions equivalent to a unit fraction
- Find fractions equivalent to a non-unit fraction
- Recognise equivalent fractions
- Convert improper fractions to mixed numbers
- Convert mixed numbers to improper fractions
- Compare fractions less than 1
- Order fractions less than 1
- Compare and order fractions greater than 1
- Add and subtract fractions with the same denominator
- Add fractions within 1
- Add fractions with total greater than 1
- Add to a mixed number
- Add two mixed numbers
- Subtract fractions
- Subtract from a mixed number
- Subtract from a mixed number - breaking the whole
- Subtract two mixed numbers
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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.
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.
Equivalent Fractions Practise finding equivalent fractions numerically and in fraction diagrams.
Jack Frost Fractions Find fractions of frosty fractions in this ten stage challenge.
Equivalent Fraction Pairs The traditional pairs or Pelmanism game adapted to test knowledge of equivalent fractions.
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.
Fractions Video So many people can't remember how to add, subtract, multiply and divide fractions so here is a reminder.
Fractions by Wholes An exercise on multiplying and dividing proper fractions and mixed numbers by whole numbers.
Fractions A series of self-marking exercises on adding, subtracting, multiplying and dividing fractions.
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.
Double, Double, Halve and Treble Questions about scaling up the ingredients in the correct proportion for the witch's brew at Hallowe'en.
Fraction of ... Practise your ability to find a fraction of a given amount with this self marking exercise.
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.
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.
Recipe Ratios Learn the mathematics required to adapt recipes to serve a different number of people.
Compound Units Practise using compound units such as speed, unit pricing and density to solve problems.
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.
- Ratio A ratio is a relationship between two numbers of the same kind. In layman's terms a ratio represents, simply, for every amount of one thing, how much there is of another thing. This topic presents a number if different ways pupils can represent ratios and apply their meaning to problem solving situations.
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
Two Thirds
Make a poster showing a variety of calculations that give the answer two thirds.
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
Inbetweens
Find fractions between two given values.
5th Lesson
One Fifth
Investigate three fractions which add together to give one fifth.
6th Lesson
5.5 Times Table
Write out the 5.5 times table as far as possible.
7th Lesson
Add Quickulations
Calculations appear on the screen every few seconds. This mental arithmetic starter provides pace to the start of the Maths lesson.
8th Lesson
Aunt Sophie's Post Office
Work out the number of stamps needed to post a parcel.
9th Lesson
Bus Stop
How many different ways can four people stand in line?
10th Lesson
Bridge Crossing
The classic puzzle of finding a route which crosses each bridge once.
11th Lesson
Half and Half
Start with 100. Halve it to get 50. Halve that to get 25. Continue as far as possible.
12th Lesson
Noughts and Crosses
In how many different ways can the first X and O by placed on the grid?
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.
