Completing the Square Day 2 of 2

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Students will be able to complete the square to solve a quadratic equation with both real and complex roots.

Big Idea

Compare and contrast the effectiveness of multiple methods of solving quadratic equations.

Warm up and Homework Review

10 minutes

I include Warm ups with a Rubric as part of my daily routine. My goal is to allow students to work on Math Practice 3 each day. Grouping students into homogeneous pairs provides an opportunity for appropriately differentiated math conversations. The Video Narrative specifically explains this lesson’s Warm Up- Complete the Square Day 2, which asks students to determine whether a quadratic equation has been solved properly. 

I also use this time to correct and record the previous day's Homework.

Complete the Square

37 minutes

In the previous lesson, Complete the Square Day 1, we were introduced to completing the square as a method of solving quadratic equations.  In this lesson, we will extend this concept into quadratics with a leading coefficient that is not 1.  This lesson consists of a Guided Practice.  Like the previous lesson, we will associate these with the graphic solution (Math Practice 5).  This lesson is very straight forward but I feel that this is an algebraic skill that they need to master. 

Exit Ticket

3 minutes

I use an exit ticket each day as a quick formative assessment to judge the success of the lesson.  

Today's Exit Ticket asks students to solve a quadratic equation by completing the square.


This Assignment is intended to help students master completing the square.  I have also asked students to describe how they know whether a quadratic equation is going to have real or complex solutions (Math Practice 7).  There are a variety of possible solutions here including look at a graph or stating whether it is factorable.

This worksheet was created with Kuta Software which is an amazing resource for any mathematics teacher.