This document is the long-awaited follow up to my popular "Solving One-Step Equations" (available for free in my store) which explains the process for solving one step equations in the form x + a = b, x - a = b, ax = b and a/x = b. This document builds upon that lesson to include solving equations that are (and equations that are not yet) in the form ax + b = c
It is intended to be self-explanatory for students for self-study, but is also a comprehensive teaching resource for teachers and parents who are teaching this topic.
This lesson uses the same "variable is a wrapped present that needs to be unwrapped" metaphor as my free lesson on solving one-step equations, but expands the topic to explain how order of operations comes into play when solving for the variable in a two-step equation.
It also includes several fully-solved, well-annotated example solutions and 10 sample questions which are first unsolved for student practice, then repeated with solutions (sometimes multiple correct solutions!) so students can check their work.
It is handwritten on a tablet and uses colour to assist in the explanations. Although the colour is helpful, the file can be reproduced in black and white and is still useful.
There are two key ideas in this lesson:
1. The metaphor of "unwrapping a present" to solve an equation can be easily extended to two-step equations, and the lesson makes this an extremely clear and easy-to-understand framework for solving two-step equations.
2. Just as (if not more!) important than "unwrapping" the variable to solve the equation is becoming comfortable with "performing a legal operation to both sides of the equation." This lesson goes well beyond simply undoing operations to solve for x. It provides several clear, annotated examples of "doing things to both sides" and constantly refers back to "things you are allowed to do" so that, if a student is stuck or at a loss while solving an equation, they always have SOMETHING they can try.
This topic is covered in such detail in this lesson that follow-up topics which I had hoped to include will have to be included in the next lesson: Solving Multi-Step equations requiring methods of simplification such as combining like terms, distributive multiplying, cross multiplying and other algebraic skills. This lesson is coming soon and next on my list to produce!