Lesson Goal:

At the end of this lesson, you will be able to:

Convert a quadratic equation from Factored Form to Standard Form by Multiplication of Binomials

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Agenda
1. Warm Up
2. Notes
3. Group activity

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Task 1: Warm Up

Use the distributive property to simplify:

1. $LaTeX: -3\left(2x^2+5x-1\right)$

2. $LaTeX: 3x\left(5x+7\right)$

Task 2: Attendance and preview of the week. Any questions from last week?

Task 3: Review (from algebra 1) how to convert from factored form to standard form.

A Quadratic Equation can be written in three forms

Standard Form:

Factored Form: $LaTeX: y=\left(ax+b\right)\left(cx+d\right)$

Vertex Form: $LaTeX: y=a\left(x-h\right)^2+k$

In this lesson we will learn to convert from Factored Form to Standard Form.

Given below are four different methods to convert $LaTeX: y=\left(x+2\right)\left(x+4\right)$ into standard form --

Try - Pick the method that makes the most sense to you and convert $LaTeX: y=\left(x-5\right)\left(x+9\right)$ into standard form.

Try again - Convert $LaTeX: y=\left(3x+8\right)\left(x-2\right)$ into standard form.

Task 4: Small Group Work

Go to this google doc and work with your small group to do problem assigned to your group. Please show work with whatever method you chose.

Task 5 Reflection:

What do you think are the most common mistakes students make when doing these types of problems?
**Type your answer in the chat.

Khan Academy Video for anyone who needs more help: