Formulae and Kinematics

August 23, 2016

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

Substitution into Formulae

Rearranging Formulae

Kinematics Formulae

Rearranging Formulae by Factorising

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.

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