Eighth graders learn that a square root undoes squaring, asking what number times itself gives this, and explore perfect squares, the radical sign, and how to estimate the roots in between.
Students will be able to…
You know 5 squared is 25; a square root runs that backward, asking what times itself gives 25. How do you find a square root, and what about numbers that are not perfect squares?
Project this and open each card to explore square roots, perfect squares, and how to estimate the ones in between.
Tap any phase to open the teacher moves and student actions.
You know 5 squared is 25. But what if you start with 25 and want the side length back? That reverse question is a square root. How do you find one?
Students explore what square roots are.
Students classify roots.
Students build a square-root reference.
Students reflect on square roots.
Aligned to the Common Core State Standards for Mathematics.
Use square root and cube root symbols to represent solutions and evaluate square roots of small perfect squares.
Use rational approximations of irrational numbers to estimate the value of expressions like the square root of 2.
Write and evaluate numerical expressions involving whole-number exponents.
Look for and make use of structure.
Preview the three formative checks. Tap “Sample answer” to see what mastery looks like — hide them before you print for students.
Have students list the perfect squares to 144, write each square root, and estimate one non-perfect root, so the pattern of squares and roots is in front of them. A printable square-roots worksheet is in the Mathematics library.
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A quick self-check with instant feedback, drawn from this lesson’s key terms.
A print-and-go review sheet with a built-in answer key. Tap “Show answer key” to reveal answers, or print the clean version for students.