Sixth Grade · Math · week 23

Solving one-step equations

Solve one-step equations involving addition, subtraction, multiplication, or division, using inverse operations, and check the solution.

An equation is a math sentence with an equals sign, claiming two things have the same value. Solving means finding the value of the variable that makes the sentence true.

The rule for solving: do the INVERSE, or opposite, operation to undo whatever is being done to the variable, and do it to BOTH sides so the equation stays balanced.

The four inverse pairs: addition undoes subtraction and subtraction undoes addition; multiplication undoes division and division undoes multiplication. Always check your solution by substituting it back into the original equation.

📋 For the teacher
Teach it (10–15 min):
  • Ask together: "what is being done to the variable?" before picking the inverse operation.
  • Show the balance-scale idea: whatever you do to one side, you must do to the other.
  • Make checking a non-negotiable last step - substitute the answer back in and confirm both sides match.
  • Keep early practice to single operations before mixing types, so the inverse-operation habit is solid.
Talk about it:
  • How do you decide which inverse operation to use?
  • Why must you do the same thing to both sides of an equation?
  • Why is checking your answer a good habit, not just extra work?

Mastery looks like: They solve one-step equations with any of the four operations using the correct inverse operation and verify by checking.

Common stumbles: Using the same operation instead of the inverse; forgetting to apply the operation to BOTH sides.

See it visually

Interactive, spoken-aloud tools that show this idea in motion.

MultiplicationEqual groups and arrays make products finally click.try →DivisionShare fairly and build equal groups.try →SubtractionTake away and count back, step by step.try →
Homework for this lessonType it, write it with a stylus, or print it for pencil & paper.open →
Records attendance + 15 min of Math for this learner.
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