Formulae and Kinematics

Students learn how to write a formula from a written description and use this formula to model various scenarios.  As learning progresses students work with the various kinematics formulae.

This unit takes place in Term 1 of Year 11 and follows on from solving equations.


Formulae and Kinematics Lessons


Prerequisite Knowledge

  • solve linear equations in one unknown algebraically (including those with the unknown on both sides of the equation
  • translate simple situations or procedures into algebraic expressions
  • deduce expressions to calculate the nth term of linear sequence

Success Criteria

  • substitute numerical values into formulae and expressions, including scientific formulae
  • understand and use the concepts and vocabulary of expressions, equations, formulae, identities inequalities, terms and factors
  • understand and use standard mathematical formulae; rearrange formulae to change the subject
  • know the difference between an equation and an identity; argue mathematically to show algebraic expressions are equivalent, and use algebra to support and construct arguments


Key Concepts

  • When substituting known values into formulae it is important to follow the order of operations.
  • Students need to have a secure understanding of using the balance method when rearranging formulae. Recap inverse operations, e.g., x2 => √x
  • When generating formulae it is important to associate mathematical operations and their algebraic notation with key words.

Common Misconceptions

  • Students often consider to be incorrectly calculated as 2a3 as (2a)3. Recap the order of operations to avoid this.
  • Students often have difficult generating formulae from real life contexts. Encourage them to carefully break down the written descriptions to identify key words.

 

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