Grade 7 · Number
Square Roots and Perfect Squares
Perfect squares are numbers that are products of equal factors: 36 = 6 × 6. Their square roots undo that squaring: √36 = 6. Non-perfect squares produce irrational numbers — students get their first encounter with numbers that go on forever without repeating. The Pythagorean theorem gives square roots immediate geometric meaning.
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
✓Identify perfect squares to 144
✓Determine the square root of a perfect square
✓Estimate the square root of a non-perfect square to the nearest tenth
✓Apply the Pythagorean theorem to find missing side lengths