Algebra - Forming Expressions - Worksheet

The resource provided is a comprehensive worksheet aimed at Year 6 students to enhance their understanding of algebra, specifically focusing on forming expressions. The National Curriculum objectives covered in this lesson include using simple formulae, generating and describing linear number sequences, and expressing missing number problems algebraically. Students are equipped with differentiated sheets and teaching slides to aid their learning journey. Essential vocabulary such as 'algebra', 'function', 'input', 'output', and 'expression' are introduced, with an emphasis on transitioning from one-step and two-step function machines with numerical inputs to using algebraic inputs like 'y' to form expressions.

Students are encouraged to use manipulatives like cubes to represent variables, which aids in visualising and understanding algebraic concepts. For instance, they learn to translate the operation of multiplying 'y' by 4 into the algebraic expression '4y'. Key questions prompt students to explore the formation of expressions from function machines, the appearance of function machines for given rules, and the equivalence of expressions like '2a + 6' and '6 + 2a'. The worksheet includes fluency, reasoning, and problem-solving sections, with tasks ranging from representing function machines using the cubes method to challenging exercises where students must determine if certain function machines produce the same output for any given input. This resource provides a structured approach to mastering algebraic expressions, ensuring students develop both fluency and precision.