Eighth graders learn square roots and cube roots — the operations that undo squaring and cubing — and recognize perfect squares and perfect cubes whose roots are whole numbers.
Students will be able to…
If 5² = 25, then what number squared gives 25? That’s the square root! How do roots undo powers, and which numbers have whole-number roots?
Project this and change n. See how squaring and its square root undo each other — and the same for cubing and cube roots!
Tap any phase to open the teacher moves and student actions.
5² = 25 — so what number squared gives 25?
Teacher models.
Class uses the Root Explorer.
Students find roots.
One root.
Aligned to the Common Core State Standards for Mathematics.
Use square root and cube root symbols to represent solutions.
Evaluate square roots of perfect squares and cube roots of perfect cubes.
Approximate the value of irrational roots.
Use the structure connecting powers and roots.
Preview the three formative checks. Tap “Sample answer” to see what mastery looks like — hide them before you print for students.
Have students approximate √50 by finding the two perfect squares it falls between (49 and 64). A printable roots sheet is in the Math library.
Tap a card to flip it, then rate whether you knew it. Built from this lesson’s vocabulary.
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.