Lesson 1: Understanding Square Roots & Radicals

• What does a square root mean?
• What is the radical symbol?
• How are square roots related to squaring?
• What are perfect squares?

Square root, radical, radicand, perfect square, v, index

CCSS.MATH.8.EE.A.2

Description: Square roots are introduced as the inverse of squaring. Using area models (squares with known area), students find the side length (square root). They identify perfect squares and learn radical notation. Purpose: To establish foundational understanding that square roots are the inverse of squaring. DOK Level: 1-2 (Recall and Understanding)

• Area models: Use actual squares to show v visually
• For struggling learners: Focus on perfect squares (1, 4, 9, 16, 25, 36, 49, 64, 81, 100)
• For advanced learners: Introduce irrational square roots
• Anchor chart: Display perfect squares and their roots

• Observation: Can students find square roots of perfect squares?

• Matching activity: Match squares to their side lengths

• Worksheet: Find square roots of perfect squares

• Exit ticket: Explain what a square root is in their own words

• Square tiles or grid paper for area models

• Perfect square reference chart

• Matching cards

• Practice worksheets

• Resource: Khan Academy "Square Roots" (adapted)