Tips for Teaching Variables and Equations
Posted by David Wetzel

Math Variables and Equations
Here is one method for reinforcing middle school math terms such as variables and equations. The key is to make it visual. Start with the basics, use colors, and take it one step at a time.
Reinforcing Variables and Equations
Materials:
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unlined white paper
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black marker
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red marker
1. Begin with a simple, one-step equation. Use a black marker to write “n + 2 = 5”.
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Student must solve for “n”
Discussion:
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What is the opposite of +2?” (-2)
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What you do to one side of the equation, you must do to the other side
Show:
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n + 2 – 2 = 5 – 2 (write “- 2 “on both sides in red)
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n = 3
2. Next, practice a one-step subtraction equation
Show:
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n – 3 = 6 (using black marker)
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n – 3 + 3 = 6 + 3 (write “+3” on both sides in red)
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n = 9
3. Next, move on to two-step equations
Show:
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5y – 10 = 5 9 (using black marker)
Discussion:
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You must get “y” by itself
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What is the opposite of - 10? (+10)
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What you do to one side of the equation, you must do to the other side
Show:
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5y – 10 + 10 = 5 + 10 (write “+10” to both sides in red)
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5y = 15
Discussion:
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5y means “5 times y”
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What is the opposite of “times”? (divide)
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To get y by itself, divide both sides by 5.
Show:
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5y = 15 (write “/ 5” on both sides in red)
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5y / 5 = 15 / 5
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y = 3
Additional Tips
By using colors, students can easily see and review the steps required to solve one and two-step equations.Keep practicing until the process of solving simple equations becomes automatic.
Equations quickly become more complex, requiring several steps. Be sure your middle-schooler has a concrete understanding of the basics so s/he is able to move ahead with confidence.
Resources
12 Tips for Solving Word Problems
Illuminations - An Interactive Math Website for Learning Math




