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Rationalising Denominators

 

Students learn how to rationalise the denominator of fractions, starting with simple cases like 1/√2.

Later, as learning progress students consider more complex fractions that require expansion of brackets and problem solving with areas.

Related Blog: How to Simplify Surds

Scheme of Work Link

Indices and Standard Form Higher

Differentiated Learning Objectives
  • All students should be able to rationalise a denominator with an integer term as the numerator.
  • Most students should be able to rationalise a denominator with a surd as the numerator.
  • Some students should be able to rationalise a denominator with an integer and surd in the numerator.

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