Algebra - Find a Rule (One Step) - Presentation

In the realm of algebra for Year 6 students, the concept of a 'one-step function machine' is introduced through a series of engaging activities. The objective is to discover the rule that transforms an input number into an output number using a single mathematical operation. Students are encouraged to ponder what a one-step function might entail and how changing the input affects the output. They are presented with a function machine that multiplies the input by three, prompting them to determine the outputs for various inputs, including whole numbers, decimals, and algebraic expressions such as 'a' and 'x'. This exercise not only reinforces their understanding of basic algebraic principles but also helps them visualise the direct relationship between input and output in a mathematical function.

Building on the initial activity, the lesson proceeds with more complex tasks where students complete tables for given function machines, adding five to the input to find the output. They are also challenged to deduce the missing function when provided with a set of inputs and outputs. For instance, when given inputs and outputs that are halves of each other, they must identify the function as division by two. The lesson includes reasoning exercises where students explore different possible functions for a given set of inputs and outputs, such as adding or multiplying by a certain number. These activities are designed to deepen students' comprehension of functions and to enhance their problem-solving skills. Independent work tasks further consolidate their learning, asking them to identify functions, complete function machines, and create their own problems for peers to solve, thus fostering a collaborative and interactive learning environment.