Formulae and Kinematics

Scheme of work: GCSE Higher: Year 10: Term 4: Formulae and Kinematics

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
  • Use compound units such as speed, rates of pay, unit pricing, density and pressure

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
  • Use relevant formulae to find solutions to problems such as simple kinematic problems involving distance, speed and acceleration
  • 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 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.
  • Sketching a diagram to model a motion enables students to identify the key information and choose the correct Kinematic formula.

Common Misconceptions

  • Students often consider 2a3; to be incorrectly calculated as (2a)3;. Recap the order of operations to avoid this.
  • Students often have difficulty generating formulae from real life contexts. Encourage them to carefully break down the written descriptions to identify key words.
  • Knowing which kinematics formula to use often causes students to drop mark in examinations.
  • When factorising terms, students often forget to use the highest common factor.

Formulae and Kinematics Resources

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