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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.

**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., x
^{2}=> √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 2a
^{3}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.

January 1, 2021

Problem solving lesson on two-way tables and frequency trees.

December 20, 2020

Three typical exam questions to revise on plotting quadratic, cubic and reciprocal graphs.

December 2, 2020

Linking cumulative frequency graphs to ratio, percentages and financial mathematics.