Lesson 5

Squares and Circles

Lesson Narrative

In grade 6, students applied the distributive property to produce equivalent expressions. Here, students build on that, looking for regularity in repeated reasoning (MP8) to identify and factor trinomials that are perfect squares.

Then, students rewrite perfect square trinomials in factored form to find a circle’s center. This will lead to completing the square to identify a circle’s radius and center in upcoming activities.

Learning Goals

Teacher Facing

  • Calculate and interpret trinomials in expanded and factored form in equations for circles.

Student Facing

  • Let’s see how the distributive property can relate to equations of circles.

Learning Targets

Student Facing

  • I understand how squared binomials relate to the equation of a circle.

CCSS Standards