Introduction
Having recently discussed the quadratic equation and one method to factor. The quadratic formula is an alternate method of factoring if the equation is too complex to break down. The quadratic formula directly provides the roots, or zeros, of the equation through breaking down the quadratic equation. Here, you will go further into the parts of the quadratic equation and how to use the quadratic formula to solve for the roots of the equation.
Task
SWBAT understand the different component of the quadratic equation. SWBAT utilize the correct parts of the equation into the formula. SWBAT to understand what the quadratic equation is and understand how to use it. SWBAT simplify their result from the quadratic formula. Students will complete the attach worksheet to show understanding.
Process
The following links will an explanation of the quadratic equation and previous factoring method. It will also identify and explain how to handle differently formatted equations.
- (1) Quadratic Equations - Basics | Don't Memorise - YouTube
- (1) Solving a quadratic equation when not equal to zero by factoring - YouTube
- Solving a quadratic equation when it is not set equal to zero - YouTube
- Quadratic Equations (mathsisfun.com)
The following links will introduce the quadratic formula. It'll explain the different parts and how to find the solution.
- https://www.youtube.com/watch?time_continue=318&v=IWigvJcCAJ0&feature=emb_title
- (1) How To Solve Quadratic Equations Using The Quadratic Formula - YouTube
- The Quadratic Formula Explained | Purplemath
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The formula doesn't always give a real number as an answer. So, the following links will explain how to simplify the results.
- (1) Simplifying a Quadratic Formula Result - YouTube
- (1) Negative Underneath Root in Quadratic Formula (Imaginary Solutions) - YouTube
Evaluation
| Understanding the Different Variables | Using the Formula | Simplifying solution | |
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4
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The student is able to identify the variables in equations requiring students to move terms between side. | The student correctly places the variables into the formula. | The student must be able to simplify solutions that include negative numbers and radicals. |
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3
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The student is able to identify different parts in a rearranged equation. | The student for the most part places variables in the correct spot. | The student is able to simply answers that include negative numbers but not radicals. |
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2
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The student can identify the different variables n the standard form of the equation. | Less than half the times, the student places the variable in the correct spot. | The student can obtain the answer but is unable to simplify. |
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1
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The student is unable to identify the different variables of the equation. | The student is unable to properly place the variable into the formula. | The student miscalculates but is at least on the right path. |
Conclusion
Students should understand what the quadratic formula is and the parts of what make up the formula. The student should be able to understand how to implement the part of the equation into the formula. Furthermore, understand how to use the formula to find the zeros/roots using the quadratic equation. They should also understand how to simplify any complex result the equation will produce.