Write worked examples that fade into practice problems

Write a set of worked examples and practice problems that teach the skill below to {{learners}}, so that they follow a fully worked solution first and then do more of the work themselves with each problem.

Skill: {{skill}}
What learners can already do: {{prior_knowledge}}

Method, notation and vocabulary we use in class, so the examples match how I teach it:
"""
{{method}}
"""

Produce, in this order:
1. Worked example 1: a problem solved completely, one step per numbered line, each with a short note in plain words on why that step is taken.
2. Worked example 2: a similar problem with the last one or two steps left for the learner.
3. Worked example 3: only the first step shown; the learner completes the rest.
4. Practice: {{practice_count}} problems that get gradually harder, with no steps shown, including one that uses the skill in a realistic setting for these learners.
5. "For the teacher": final answers and full working for every problem.
6. Common errors: three mistakes learners often make with this method, each shown as a short wrong step with how to spot it.

Use numbers that keep the arithmetic easy, so attention stays on the method. Keep the wording short and suited to {{learners}}, and use names and situations from varied backgrounds.

Follow my method exactly. Do not introduce shortcuts or a different method, because mixing methods confuses learners at this stage.

For example, a step note with the right level of detail: "Subtract 4 from both sides, so the x term is on its own." The example shows the form only.

Check every answer by working it a second way or substituting it back, and mark any problem you are not certain of with "(check)" so I can verify it. If the method description is missing or unclear, ask me for it instead of choosing a method. I will review the set before using it in class.