Algebra - Substitution - Worksheet

This worksheet provides a comprehensive guide to understanding and applying the concept of substitution in algebra for Year 6 students. The National Curriculum objectives covered in this lesson include using simple formulae, generating and describing linear number sequences, expressing missing number problems algebraically, and finding pairs of numbers that satisfy an equation with two unknowns. The resources required for this lesson are differentiated sheets and teaching slides, which are designed to cater to varying levels of student ability.

The key vocabulary for this lesson includes algebra, expressions, substitution, value, and representation. Students will engage in substituting numbers into simple algebraic expressions to find specific values. They will build on their previous experience with function machines, understanding that the same algebraic expression can yield different values when different numbers are substituted into it. The lesson includes fluency exercises where most calculation parts are given, and as the difficulty increases, students are required to complete more calculations independently. The worksheet also features reasoning and problem-solving questions that challenge students to apply their understanding of substitution to more complex scenarios and correct misconceptions, such as the incorrect assumption that a variable's alphabetical order dictates its numerical value.