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Lesson Script

 

Lesson Script for a Lesson on The Quadratic Formula

 

Good morning class!

Today we're going to learn about the Quadratic Formula. The Quadratic Formula is a mathematical formula used to solve for the roots of a quadratic equation.

To start, let's review what a quadratic equation is. A quadratic equation is an equation with at least one squared variable. For example, x2 + 4x + 3 = 0 is a quadratic equation.

Now, let's learn about the Quadratic Formula. The Quadratic Formula is expressed as:

x = -b ± √b2 - 4ac/2a

Where:

  • x is the answer,
  • b is the coefficient of x, and
  • a and c are constants.

 

To solve a quadratic equation using the Quadratic Formula, we first need to identify the constants a, b, and c. Once we have identified these constants, we can plug them into the formula.

Let's try an example.

x2 - 4x + 3 = 0

In this equation, a = 1, b = -4, and c = 3.

 

Therefore, we can plug these numbers into the formula to get:

x = -(-4) ± √(-42 - 4(1)(3))/2(1)

 

Which simplifies to:

x = 4 ± √4/2
x = 4 ± 2/2
x = 4 ± 1
x = 3 or x = 5

Therefore, the solutions for x2 - 4x + 3 = 0 are x = 3 and x = 5.

 

Now that we understand the Quadratic Formula, let's practice using it. I'm going to give you a few equations and I want you to try to solve them using the Quadratic Formula.

[Go through each equation and have the students solve them using the Quadratic Formula]

That's it for today's lesson. I hope you all understand how to use the Quadratic Formula now. If you have any questions, feel free to ask!