Algebra - Substitution - Planning

The Year 6 algebra lesson plan on substitution introduces students to the concept of replacing variables with numerical values to solve algebraic expressions. The lesson begins by recapping previous learning and asking students what they understand by the term 'substitution', drawing parallels between its meaning in everyday contexts, like sports, and its specific application in algebra. The class teaching input involves explaining that substitution in algebra means replacing letters and symbols with given values to calculate an expression. Students are then given simple expressions with symbols and are tasked with substituting these for provided values, such as replacing 'a' and 'b' with 5 and 7, respectively, and calculating the result. This activity helps establish the foundational understanding of how substitution works within algebraic expressions.

As the lesson progresses, students are presented with slightly more complex expressions involving different variables and are asked to make substitutions using given values, including fractions. This allows them to explore how different types of numbers, such as fractions, can affect the outcome of an algebraic expression. The lesson features independent learning through differentiated worksheets that cater to varying levels of proficiency, from fluency in basic substitutions to problem-solving that requires deeper reasoning. The plenary includes group work where students discuss their strategies and share answers. Key questions prompt students to think about the relationships between variables and constants in expressions, and a 'Give me five' reflection activity encourages them to consolidate their learning, identify the skills they have practiced, such as substituting values and applying algebraic conventions, and acknowledge any challenges they faced during the lesson.