Adding and Subtracting Fractions
Use the four operations, including formal written methods, applied to proper and improper fractions and mixed numbers, all both positive and negative (KS3)

Teaching for Understanding
Resources and ideas to promote understanding
Blog Posts and Lesson Ideas
Teaching adding and subtracting fractions (Part 1 / Part 2 from The Storeroom)
My approach to adding and subtracting fractions using bar modelling.
Adding and subtracting with bar models  worth sticking with (Peter Mattock)
Peter's experiences using bar modelling to add and subtract fractions  this one's definitely worth a read!
Adding fractions inquiry (via Inquiry Maths)
Using number lines and unit fractions to explore fraction addition.
My approach to adding and subtracting fractions using bar modelling.
Adding and subtracting with bar models  worth sticking with (Peter Mattock)
Peter's experiences using bar modelling to add and subtract fractions  this one's definitely worth a read!
Adding fractions inquiry (via Inquiry Maths)
Using number lines and unit fractions to explore fraction addition.
Concrete and Pictorial Models
Examples  Adding fractions using a bar (C. Norledge)
Examples for display/discussion on whiteboard.
Adding and subtracting fractions bar (Active Maths)
A lovely little interactive to assist with bar modelling of fractions. Requires small subscription.
Common dechocolateater (Don Steward)
Looking at fraction addition and subtraction using chocolate bars as context.
Examples for display/discussion on whiteboard.
Adding and subtracting fractions bar (Active Maths)
A lovely little interactive to assist with bar modelling of fractions. Requires small subscription.
Common dechocolateater (Don Steward)
Looking at fraction addition and subtraction using chocolate bars as context.
Background and History
Same name (Don Steward)
Interesting explanation of the origins of the word "denominator".
Egyptian fractions (NRich)
Article from NRich with background and history on Egyptian (unit) fractions with links to suggested activities. Surrey University also have a very extensive page on Egyptian fractions, with many problems that could be adapted for the classroom.
Interesting explanation of the origins of the word "denominator".
Egyptian fractions (NRich)
Article from NRich with background and history on Egyptian (unit) fractions with links to suggested activities. Surrey University also have a very extensive page on Egyptian fractions, with many problems that could be adapted for the classroom.
Fluency
Collections of standard practice problems in various formats
Worksheets
BLOG: Maths Puzzles Galore (The Storeroom)
Links to a few lovely activities  these can be more interesting and motivating than a standard worksheet.
Adding fractions starter activity (Eugene Smith via TES)
A superb puzzle to practice adding fractions  gets a good response every time I use it.
Magic squares with fractions (TeachIt Maths)
Magic square activities to practice adding and subtracting fractions and mixed numbers.
Worksheet collection (Maths Drills):
Worksheet generators (Worksheet Math)
Basic practice sheets with options to choose difficulty level of denominators:
Worksheet collection (greatschools.org)
Links to a few lovely activities  these can be more interesting and motivating than a standard worksheet.
Adding fractions starter activity (Eugene Smith via TES)
A superb puzzle to practice adding fractions  gets a good response every time I use it.
Magic squares with fractions (TeachIt Maths)
Magic square activities to practice adding and subtracting fractions and mixed numbers.
Worksheet collection (Maths Drills):
 Adding fractions with easy common denominators
 Subtracting fractions with easy common denominators
 Adding and subtracting proper and improper fractions
 Adding and subtracting mixed numbers
Worksheet generators (Worksheet Math)
Basic practice sheets with options to choose difficulty level of denominators:
Worksheet collection (greatschools.org)
 Sheet one: Adding with common denominators and simplifying.
 Sheet two: Adding with common denominators then simplifying including mixed numbers.
 Sheet three: Adding with different denominators and converting to mixed numbers.
 Sheet four: Adding mixed numbers with common denominators.
 Sheet five: Adding mixed numbers with different denominators.
 Sheet six: Subtracting with common denominators and simplifying.
 Sheet seven: Subtracting with different denominators.
 Sheet eight: Subtracting mixed numbers.
WHiteboard Display
Master the Basics (C. Norledge)
Sets of basic questions optimised for whiteboard display; quick alternative to textbooks.
Find the mistakes (C. Norledge)
Get pupils to identify and correct mistakes in a fraction addition problem. Works well as a plenarytype activity or short assessment.
Workouts (StudyMaths)
Question generator  good for basic repeated practice.
Fraction Pattern Add One / Two / Three (Don Steward)
Standard problems with a pattern.
Sets of basic questions optimised for whiteboard display; quick alternative to textbooks.
Find the mistakes (C. Norledge)
Get pupils to identify and correct mistakes in a fraction addition problem. Works well as a plenarytype activity or short assessment.
Workouts (StudyMaths)
Question generator  good for basic repeated practice.
Fraction Pattern Add One / Two / Three (Don Steward)
Standard problems with a pattern.
Revision Resources
Enrichment, Extension and Problemsolving
Resources to extend thinking, enrich lessons or enhance problemsolving skills
Quick Puzzles and Problems
Closest to 1 (C. Norledge)
Use a combination of fraction additions to make a calculation as close to 1 as possible. Has scope for further extension.
Why not add tops and bottoms (Craig Barton via TES)
Problem and demo reinforcing the idea that you don't just add the tops and bottoms of fractions.
Don Steward
Use a combination of fraction additions to make a calculation as close to 1 as possible. Has scope for further extension.
Why not add tops and bottoms (Craig Barton via TES)
Problem and demo reinforcing the idea that you don't just add the tops and bottoms of fractions.
Don Steward
 Four digits, two fractions: Arrange the digits 2, 3, 4 and 5 to make the smallest and largest possible fraction additions.
 Seven 20ths: Find solutions to fraction subtraction problem with answer 7/20.
Longer Problems and Investigations
Extension Activities
Don Steward
NRich
 Fraction triangles: Nice puzzles for addition and subtraction  these work well as a simple extension activity.
 Someone: Interesting problem linking fraction addition patterns and perfect numbers.
NRich
 Keep it simple: Exploring Egyptian (unit) fractions; a nice activity linking work on fractions and factors.
Other Links and Resources
Useful stuff that doesn't fit anywhere else
Interactives
Adding fractions interactive (Math Playground)
Selfchecking programme which generates questions on adding fractions.
Spreadsheet generator (dwatson802 via TES)
Infinite selfchecking question generator in the form of an Excel spreadsheet.
Selfchecking programme which generates questions on adding fractions.
Spreadsheet generator (dwatson802 via TES)
Infinite selfchecking question generator in the form of an Excel spreadsheet.
Card Sorts
Fractions jigsaw (NRich)
Nice little jigsaw puzzle in a similar vein to Tarsia; uses simple denominators so good for pupils who are just beginning to add and subtract fractions.
Adding and subtracting fractions Tarsia (Craig Barton via TES)
Comprehensive Tarsia puzzle for addition and subtraction of fractions; includes a mixture of like denominators, unlike denominators and some mixed number answers.
Adding fractions mystery (C. Norledge)
This is based on an adding fractions mystery from Numberloving  I had to change the numbers as the original was too challenging for my class.
Nice little jigsaw puzzle in a similar vein to Tarsia; uses simple denominators so good for pupils who are just beginning to add and subtract fractions.
Adding and subtracting fractions Tarsia (Craig Barton via TES)
Comprehensive Tarsia puzzle for addition and subtraction of fractions; includes a mixture of like denominators, unlike denominators and some mixed number answers.
Adding fractions mystery (C. Norledge)
This is based on an adding fractions mystery from Numberloving  I had to change the numbers as the original was too challenging for my class.
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