# 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

### Mr Mathematics Blog

#### Planes of Symmetry in 3D Shapes

Planes of Symmetry in 3D Shapes for Key Stage 3/GCSE students.

Use isometric paper for hands-on learning and enhanced understanding.

#### GCSE Trigonometry Skills & SOH CAH TOA Techniques

Master GCSE Math: Get key SOH-CAH-TOA tips, solve triangles accurately, and tackle area tasks. Ideal for students targeting grades 4-5.

#### Regions in the Complex Plane

Explore Regions in the Complex Plane with A-Level Further Maths: inequalities, Argand diagrams, and geometric interpretations.