First, students will learn how to solve one-step multiplication and division equations involving integers.

Watch these Khan Academy videos:

One-step multiplication & division equations by Khan Academy

Next, students will learn how to solve one-step multiplication and division equations involving fractions and decimals.

After that, students will learn how to find the input of certain functions, given their output. For example, what is \(x\) if \(f(x) = 3x\) and \(f(x) = 15?\) Start with concrete and pictorial methods, then move on to the abstract method. Here's how algebra tiles can be used to solve one-step equations which require dividing both sides by a positive integer.

Next, students will learn how to identify mistakes in solving one-step equations.

Finding mistakes in one-step equations by Khan Academy

Find the mistake in one-step equations by Khan Academy

Conclude by giving your students this challenge. Its prereqs include distributing and combining like terms, and being able to solve one-step equations.

Next, give your students these challenges:

- Buckets of Thinking by NRICH
- Shades of Fermat's Last Theorem by NRICH

Conclude by leading this investigation:

Lazy Lemur Puzzles

by MathPickle