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 fraction-to-decimal 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 real-life 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 real-life 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
    • Non-calculator 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