Algebra - Find pairs of values (2) (Enumerate possibilities) - Presentation

In a series of engaging algebraic activities aimed at Year 6 students, the concept of finding pairs of values for variables is explored. The lesson begins with a review of what a 'variable' means, setting the stage for deeper understanding. Students are then presented with an equation where 'm' and 'c' are whole numbers less than 12, and tasked to write calculations showing all possible values for these variables. For example, the simple equation 3m = c is used to demonstrate how to systematically find pairs of values, with examples such as 3 times 1 equals 3, and so on, illustrating the process clearly.

The lesson continues with a second activity, where students choose values for 'x' and use the equation 5x + 3 = y to calculate corresponding values for 'y'. They are also shown how to reverse the process to find 'x' when 'y' is known, by performing the inverse operations. A third activity challenges students to find all possible values for 'm' and 'c' that satisfy the equation 2m + c = 41, encouraging the use of bar models for visual representation. Additionally, reasoning exercises prompt students to critique statements about the parity of variables in equations and explore real-life applications, such as determining how many cakes Leanna can buy with a given budget. Independent work reinforces these concepts, asking students to calculate possible values for various variables and represent them in bar models, while discussion prompts encourage reflection on the meaning of expressions and strategies used in solving equations.