Algebra - Formulae - Starter

In a Year 6 mathematics lesson focused on algebra and substitution, students are challenged with a variety of tasks to test their fluency in the subject. One of the exercises involves calculating the value of an expression using given values for variables. For instance, if 'a' is equal to 6 and 'b' is equal to 5, students must work out the value of 'a + 2b'. This exercise not only reinforces their understanding of substitution but also encourages them to identify the similarities and differences between various algebraic questions. Additionally, the lesson includes a real-world application problem, where pupils calculate the total distance of a tram road connecting 23 stations, given the distance between two consecutive stations is 343 metres. This question underscores the importance of considering the number of distances involved, not just the number of stations.

Another engaging part of the lesson is a geometry task where students are asked to write the coordinates of a triangle after it has been reflected across a mirror line on a coordinate grid. This task combines their knowledge of reflection symmetry with coordinate geometry. The lesson is structured to provide a comprehensive review of algebraic concepts and to apply these concepts to practical and visual problems, thereby enhancing the students' problem-solving skills and their ability to relate mathematical theory to real-life scenarios. It is a part of a series of lessons that build upon each other, ensuring a deep and thorough understanding of key mathematical principles.