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Arithmetic procedures with fractions

Arithmetic procedures with fractions

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Why this why now

This unit continues from the previous one in deepening pupil understanding of fractions whilst also being explicitly linked to the 'arithmetic procedures with integers and decimals' unit.

Prior knowledge requirements

  • Add, subtract, multiply and divide fractions
  • Simplify fractions and find common denominators
  • Convert between improper fractions and mixed numbers

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Why this why now

This unit continues from the previous one in deepening pupil understanding of fractions whilst also being explicitly linked to the 'arithmetic procedures with integers and decimals' unit.

Prior knowledge requirements

  • Add, subtract, multiply and divide fractions
  • Simplify fractions and find common denominators
  • Convert between improper fractions and mixed numbers

Arithmetic procedures with fractions

This unit revisits and secures fraction operations and extends pupil understanding to division of whole numbers by fractions and division of fractions by fractions.

10 lessons in unit

  1. 1

    Checking understanding of addition and subtraction with fractions

    I can use the mathematical structures that underpin the addition and subtraction of fractions.
  2. 2

    Securing understanding of addition and subtraction with fractions

    I can generalise and fluently use addition and subtraction strategies to calculate with fractions and mixed numbers.
  3. 3

    Checking understanding of multiplication with fractions

    I can use the mathematical structures that underpin the multiplication of fractions.
  4. 4

    Securing understanding of multiplication with fractions

    I can multiply unit, non-unit and improper fractions.
  5. 5

    Deepening understanding of multiplication with fractions

    I can generalise and fluently use strategies to multiply with mixed numbers.
  6. 6

    Checking and securing dividing a fraction by a whole number

    I can use the mathematical structures that underpin the division of fractions to divide a fraction by a whole number.
  7. 7

    Dividing a whole number by a fraction

    I can use the mathematical structures that underpin the division of fractions to divide a whole number by a fraction.
  8. 8

    Dividing a fraction by a fraction

    I can use the mathematical structures that underpin the division of fractions to divide a fraction by a fraction.
  9. 9

    Priority of operations with positive and negative integers, decimals and fractions

    I can calculate using priority of operations, including brackets, powers, exponents and reciprocals with positive and negative integers, decimals and fractions.
  10. 10

    Problem solving with arithmetic procedures involving fractions

    I can use my knowledge of arithmetic procedures involving fractions to solve problems.

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