Algebra - Forming Expressions - Planning

In a Year 6 algebra lesson, students are introduced to forming expressions using algebraic inputs. The lesson utilises resources such as worksheets and a presentation to guide students through the process. The key vocabulary includes terms like 'algebra', 'two-step function', 'one-step function', 'input', 'output', and 'expression'. Students begin by reviewing their understanding of numerical function machines and then transition to using algebraic inputs, such as 'y'. The first activity involves using cubes to represent the operations of one-step function machines, where students learn to form algebraic expressions for given inputs and outputs, following the example set by a character named Tia. The children practice forming expressions like 'a+2' and '3a', adhering to algebraic conventions such as omitting the multiplication symbol.

The lesson progresses with a second activity where students tackle two-step function machines, following the method demonstrated by another character, Zach. They learn to express the output of these machines as algebraic expressions, such as '3x+2', and practice with additional examples. Through group work, students engage in reasoning tasks that challenge their understanding of the order of operations and the concept of inverse functions. The lesson aims to correct common misconceptions, such as the importance of the order of operations in algebra and the representation of variables in expressions. To conclude, students reflect on what they have learned, the skills they have used, and what they found challenging. Differentiated worksheets provide fluency and reasoning exercises to cater to varying levels of understanding, from those working towards expected standards to those achieving greater depth in their algebraic reasoning.