Completing the Square

Lesson Prep

Lesson Details

• Duration: 50 minutes

• Learning Goal: Develop conceptual understanding an procedural fluency with solving quadratics by completing the square.

Prework

• Cut out class sets of cards for card sort activity

Answer Keys

• Link to Answer Keys

Classwork

• Estimation 180 – Day 182 (Andrew Stadel)

• Warm Up

• Card Matching Handout

  • Geogebra Applet for Intro

  • Cards for Card Matching

  • Card Matching activity taken from New Visions

• Spiraling (Linear Functions Refresh)

Standards

Common Core

• HSA.REI.B.4.B – Solve quadratic equations by inspection (e.g., for x² = 49), taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as a ± bi for real numbers a and b.

TEKS

• A.8(A) – solve quadratic equations having real solutions by factoring, taking square roots, completing the square, and applying the quadratic formula