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Find the Missing Functions WORKSHEET

Suitable for Year groups: Year 6
Learning objective: Finding missing functions in two step function machines

Find the Missing Functions WORKSHEET DESCRIPTION

Function machines are a good stepping stone for algebraic methods; Finding the Missing Function has particular links to finding the nth terms of linear sequences.

In section A, students will use two pairs of inputs and outputs to find one missing operation from six different two step function machines. In addition, learners will then use the two operations and their inverses to find an output given an input and vice versa for each function machine.
In section B, students will use three pairs of inputs and outputs to find both missing operations in 3 two step function machines However, the operation is given in each case.
All inputs and outputs are positive integers.

All worksheets are created by the team of experienced teachers at Cazoom Maths.

Frequently Asked Questions

This worksheet builds crucial foundations for algebra by teaching pupils to work backwards from known results to find unknown operations. The skills practised here directly prepare students for more advanced topics like finding nth terms in sequences. Working with function machines helps children understand the relationship between inputs, operations, and outputs in a systematic way.