Working with Fractions

Scheme of work: Key Stage 3: Year 7: Term 4: Working with Fractions

Prerequisite Knowledge

  • Compare and order fractions whose denominators are all multiples of the same number
  • Identify, name and write equivalent fractions of a given fraction, represented visually, including tenths and hundredths
  • Recognise mixed numbers and improper fractions and convert from one form to the other and write mathematical statements > 1 as a mixed number
  • Add and subtract fractions with the same denominator and denominators that are multiples of the same number
  • Use common factors to simplify fractions; use common multiples to express fractions in the same denomination
  • Compare and order fractions, including fractions > 1

Key Concepts

  • Equivalent fractions are found by multiplying the numerator and denominator by the same number or term. Students often benefit having a visual representation back up the written method.
  • To convert between mixed numbers and top heavy fractions students often benefit from drawing diagrams to back up their written methods.
  • To simplify a fraction the numerator and denominator are divided by their highest common factor.
  • When comparing fractions less able students benefit from using the fraction wall. More able students should use equivalent fractions as the written method.
  • Similar to comparing fractions when performing addition and subtraction students can use a fraction wall to visualise the increased or decreased amount.
  • The lowest common multiple is used to make the denominators equal when adding and subtracting fractions.

Working Mathematically

  • Develop fluency
    • Consolidate their numerical and mathematical capability from key stage 2 and extend their understanding of the number system and place value to include decimals and fractions.
  • Reason mathematically
    • Extend their understanding of the number system; make connections between number relationships, and their algebraic and graphical representations
  • Solve problems
    • Develop their mathematical knowledge, in part through solving problems and evaluating the outcomes, including multi-step problems

Subject Content

  • Number
    • Order positive and negative integers, decimals and fractions; use the number line as a model for ordering of the real numbers; use the symbols =, < and >
    • Use the four operations, including formal written methods, applied to integers, decimals, proper and improper fractions, and mixed numbers, all both positive and negative

Working with Fractions Resources

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