Lesson 5

Reasoning About Square Roots

Lesson Narrative

The purpose of this lesson is to encourage students to reason about square roots and reinforce the idea that they are numbers on a number line. This lesson continues students’ move from geometric to algebraic characterizations of square roots.


Learning Goals

Teacher Facing

  • Comprehend that $\text-\sqrt{a}$ represents the opposite of $\sqrt{a}$.
  • Determine a solution to an equation of the form $x^2=a$ and represent the solution as a point on the number line.
  • Identify the two whole number values that a square root is between and explain (orally) the reasoning.

Student Facing

Let’s approximate square roots.

Learning Targets

Student Facing

  • When I have a square root, I can reason about which two whole numbers it is between.

CCSS Standards

Addressing

Print Formatted Materials

Teachers with a valid work email address can click here to register or sign in for free access to Cool Down, Teacher Guide, and PowerPoint materials.

Student Task Statements pdf docx
Cumulative Practice Problem Set pdf docx
Cool Down Log In
Teacher Guide Log In
Teacher Presentation Materials pdf docx

Additional Resources

Google Slides Log In
PowerPoint Slides Log In