Virginia SOL 7.NS.3.a
The Standard
Determine the positive square root of a perfect square from 0 to 400.*
Virginia Standards of Learning for Mathematics · The student will recognize and describe the relationship between square roots and perfect squares.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students find the whole number that, when multiplied by itself, equals a given perfect square. They connect square root notation to side lengths and multiplication facts.
What Mastery Looks Like
- Students quickly identify square roots for perfect squares through 400. They verify each answer by multiplying the root by itself or using a square model.
Common Misconceptions
- Students may divide a number by 2 instead of finding the factor multiplied by itself. They may confuse squaring with doubling or give both positive and negative roots when only the positive root is requested.
How to Assess It
- Exit ticket: Find √196 and √324, then verify one answer with a multiplication equation.
Lesson moves
Ways to Teach It
Give students square tiles and have them build squares, record each side length, and calculate the total number of tiles.
Ask students to explain why √144 equals 12 and how they can check their answer.
Play a matching game with cards showing perfect squares, square root expressions, and corresponding whole-number roots.
Present a square garden with an area of 289 square feet and ask students to find its side length.
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Printable 7.NS.3.a Worksheet
A ready-to-print activity worksheet aligned to 7.NS.3.a, with an answer key for the teacher on its own page. No account needed.
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Related Standards
- 6.NS.3.c
Justify if a number between 0 and 400 is a perfect square through modeling or mathematical reasoning.
- 7.NS.3.b
Describe the relationship between square roots and perfect squares.*
- 7.NS.3
The student will recognize and describe the relationship between square roots and perfect squares.
- 8.NS.1.a
Estimate and identify the two consecutive natural numbers between which the positive square root of a given number lies and justify which natural number is the ...
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