Grade 5 · Algebra & Patterning
One-Step Equations with Variables
Grade 5 equations introduce variables explicitly: 4 + X = 15 instead of 4 + ? = 15. The variable is a more powerful notation because it can appear in multi-step equations and expressions. Solving by inverse operations remains the strategy: if X is added by 4, subtract 4 from both sides. The verification step is non-negotiable: substitute X = 11 into 4 + X = 15 to confirm 4 + 11 = 15. This habit, built in Grade 5, pays dividends through all of algebra.
LESSON VIDEO
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Lesson video
A short walkthrough to play in class or assign for flipped/at-home viewing.
WHAT STUDENTS WILL LEARN
✓Write and solve one-step equations using a variable (e.g., 4 + X = 15)
✓Solve equations involving all four operations with single-variable unknowns
✓Express word problems as equations using symbolic notation
✓Verify solutions by substituting back into the original equation
✓Connect equation solving to the inverse operation principle