Students will be able to solve quadratic equations with the quadratic formula

Build the concept of the quadratic formula by deriving it from completing the square.

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. To stretch student's thinking this lesson’s Warm Up- Quadratic Formula, asks students to solve a quadratic equations using two different methods.

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

37 minutes

This lesson reviews an Algebra 1 standard, the quadratic formula, using the Algebra 2 extension of complex numbers.

We begin by reviewing the methods students currently have to solve quadratic equations which frames the day's lesson. Please watch the Video Narrative for more information about this introduction. At this point, I give the students the general form of a quadratic: ax^{2} + bx + c = 0 and have them complete the square with a, b, and c (**Math Practice 7). **This puts the quadratic formula in perspective so students don’t think it’s just some magical formula that somehow works. Once they have had an opportunity to work on it, we will build it as a class to ensure that all students are on the same page. We then solve several equations, with real and complex solutions, using the quadratic formula.

The final goal for this lesson is to solve an area problem. *My contractor sent me a $3000 bill for fencing, priced at $15 per foot for a rectangular field that covers 1600* *ft ^{2}. He said he hopes I’ll be happy with the project but forgot to tell me the dimensions of the fence he is building. He’s out of cell phone range on another building site, how can I figure out what dimensions he’s planning to install? *My goal for this problem is to give the students an opportunity to work on something that seems challenging at first (

Detailed presentation notes can be downloaded in the PowerPoint.

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 using the quadratic formula.

This Assignment gives the students an opportunity to practice using the quadratic formula as well as solve several quadratic area problems (**Math Practice 4**).

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