Objectives:


Support:

  • Use fraction notation to express a smaller whole number as a fraction of a larger one; simplify fractions by cancelling all common factors and identify equivalent fractions; convert terminating decimals to fractions.
  • Add and subtract fractions with common denominators; calculate fractions of quantities (whole-number answers); multiply a fraction by an integer.
  • Understand percentage as the ‘number of parts per 100’; calculate simple percentages.
  • Consolidate the rapid recall of number facts, including positive integer complements to 100 and multiplication facts to 10 ´ 10, and quickly derive associated division facts.

Core:

  • Know that a recurring decimal is a fraction; use division to convert a fraction to a decimal; order fractions by writing them with a common denominator or by converting them to decimals.
  • Add and subtract fractions by writing them with a common denominator; calculate fractions of quantities (fraction answers); multiply and divide an integer by a fraction.
  • Interpret percentage as the operator ‘so many hundredths of’ and express one given number as a percentage of another; use the equivalence of fractions, decimals and percentages to compare proportions; calculate percentages and find the outcome of a given percentage increase or decrease.
  • Understand addition and subtraction of fractions; use the laws of arithmetic and inverse operations.
  • Recall known facts, including fraction to decimal conversions; use known facts to derive unknown facts, including products such as 0.7 and 6, and 0.03 and 8.
  • Consolidate and extend mental methods of calculation, working with decimals, fractions and percentages; solve word problems mentally.

Extension:

  • Use efficient methods to add, subtract, multiply and divide fractions, interpreting division as a multiplicative inverse; cancel common factors before multiplying or dividing.
  • Solve problems involving percentage changes.
  • Use known facts to derive unknown facts.
  • Extend mental methods of calculation, working with factors, powers and roots.

Key Vocabulary:

  • Fractions: numerator, denominator, proper fraction, improper fraction, mixed fraction, decimal fraction, equivalent, cancel, cancellation, convert, simplest form, recurring, terminating
  • Arithmetic: operation, commutative, inverse, associative, distributive, partition.
  • Percentages: equivalent, unitary method, increase, decrease, profit, loss, tax, VAT, service charge, unitary method.

Suggested Lesson Outcomes:


SUPPORT CORE

Framework:






Teaching & Learning Resources:


Fractions Resources
Percentage Resources
Recurring Decimals Resources
FDP Resources
Fraction Arithmetic Resources