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10F Fractions
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Y10 Foundation: Topic 3: Fractions
OBJECTIVES
By the end of the module the student should be able to:
Visualise a fraction diagrammatically
Understand a fraction as part of a whole
Recognise and write fractions in everyday situations
Write a fraction in its simplest form and recognise equivalent fractions
Compare the sizes of fractions using a common denominator
Add and subtract fractions by using a common denominator
Write an improper fraction as a mixed fraction
Multiply and divide a number with a fraction, and a fraction with a fraction (expressing the answer in its simplest form)
Simplify multiplication of fractions by first cancelling common factors
Convert a fraction to a decimal, or a decimal to a fraction, and recall fractiontodecimal conversions for simple common fractions
Convert a fraction to a recurring decimal
Find the reciprocal of whole numbers, fractions, and decimals, eg find the reciprocal of 0.4 with and without a calculator
Know that 0 does not have a reciprocal (because division by zero is not defined), and that a number multiplied by its reciprocal is 1
Use fractions in contextualised problems (including loss in accuracy due to premature approximation in calculations)
Prior Knowledge:
Multiplication facts.
Ability to find common factors
A basic understanding of fractions as being ‘parts of a whole unit’
Use of a calculator with fractions
Key Vocabulary:
Copy and paste here.
Differentiation & Extension:
Careful differentiation is essential for this topic dependent upon the student’s ability
Relating simple fractions to remembered percentages and vice versa
Using a calculator to change fractions into decimals and looking for patterns
Working with improper fractions and mixed numbers
Solve word problems involving fractions (and in reallife problems, eg find perimeter using fractional values)
Using a calculator to find fractions of given quantities
Working with improper fractions and mixed numbers
Using the four operations using fractions (and in reallife problems, eg find area using fractional values)
Using & Applying ideas:
Collaborate here.
NOTES
Constant revision of this topic area is needed
All work needs to be presented clearly with the relevant stages of working shown
Noncalculator work with fractions is generally poorly attempted at GCSE
Students may have difficulty with the concept of dividing by a fraction
Teaching & Learning Resources:
3D Shapes Resources
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Y10 Foundation: Topic 3: Fractions
OBJECTIVES
Prior Knowledge:
Key Vocabulary:
Differentiation & Extension:
Using & Applying ideas:
NOTES
Teaching & Learning Resources:
3D Shapes Resources