Rearranging Formulae: Powers and Roots WORKSHEET
Suitable for Year groups: Year 10, Year 11
GCSE Tier: Foundation/Higher
Targeting grades: 4-5
Prerequisite knowledge: Inverse operations (squaring and square rooting). Basic equation solving. Function machine notation.
Rearranging Formulae: Powers and Roots WORKSHEET DESCRIPTION
This worksheet develops fluency in rearranging formulae involving powers and roots.
In Section A, students practise solving simple equations with squares and square roots to consolidate the inverse relationships between operations.
Section B uses function machines in order to help learners visualise inverse operations before formally making variables the subject.
The formulae in Section C grow and change gradually, allowing learners to become confident in the order in which they should inverse the operations.
The final section includes contextual and reasoning tasks, such as rearranging geometric formulae, correcting common algebraic errors, and matching equivalent rearrangements.
In Section A, students practise solving simple equations with squares and square roots to consolidate the inverse relationships between operations.
Section B uses function machines in order to help learners visualise inverse operations before formally making variables the subject.
The formulae in Section C grow and change gradually, allowing learners to become confident in the order in which they should inverse the operations.
The final section includes contextual and reasoning tasks, such as rearranging geometric formulae, correcting common algebraic errors, and matching equivalent rearrangements.
