This resource is a great way to cover this whole topic using prepared notes and examples to explain it to your students. Projecting the notes/examples will save you a lot of work on the board and your students will save time by working on the provided spaces and axes when doing sketches. You could also email/print some or all of this for students who have missed lessons or need additional notes/practice/revision.
The sections cover the following:
1. Sketching graphs of the form y=mod(f(x)) e.g. y=mod(x-2)
2. Sketching simple transformations of y=mod(f(x)) e.g. y=mod(x)+4
3. Solving equations involving the modulus function. This covers the different types of equations and explains when a sketch may/must be used. e.g. mod(x-4)=6 vs 2x+3=mod(x-1)
4. Solving inequalities involving the modulus function. This covers the different types of inequalities and explains when a sketch may/must be used. e.g. mod(x-4)=mod(2x+1) vs 3x-1=4-mod(x)
There are almost 100 questions in total across the different exercises. Answers to all questions in the exercises are provided, including sketches.
Here is an example of one of my A level resources that is freely available:
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