# Completing the Square Day 2 of 2

## Objective

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.

## Homework

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.
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