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 Year 10 Term 4, and follows on from solving equations.


Formulae and Kinematics Lessons
4 Part Lesson
Substitution into Formulae
4 Part Lesson
Rearranging Formulae by Factorising
4 Part Lesson
Rearranging Formulae
4 Part Lesson
Kinematics Formulae
Additional Resources
Extended Learning
Substitution into Formulae
Extended Learning
Rearranging Formulae
Problem Solving
Substitution into Formulae
Revision
Rearranging Complex Formulae
Revision
Substitution into Formulae
Revision
Rearranging Formulae
Revision
Kinematics Formulae
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 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.
  • 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.

Mr Mathematics Blog

Geometric and Negative Binomial Distributions

Year 13 Further Mathematics: Statistics 1: Geometric and Negative Binomial Distributions

Conditional Probability

Scheme of Work: A-Level Applied Mathematics: Statistics 2: Conditional Probability

The Normal Distribution

A-Level Applied Mathematics Scheme of Work: Normal Distribution