# data[].attributes.body
Students will be able to solve quadratic equations using the quadratic formula (-b ± √(b² - 4ac)) ÷ 2a and understand when to apply it.

# data[].attributes.body
1. Identify the values of a, b, and c in a quadratic equation
2. Correctly substitute values into the quadratic formula
3. Solve equations and simplify answers including real and complex solutions

# data[].attributes.body
Why do we need the quadratic formula, and how does it help us solve real-world problems?

# data[].attributes.body
Watch this engaging video explaining the quadratic formula and its derivation.

# data[].attributes.attachment_link.title
Introduction to the quadratic equation | Quadratic equations | Algebra I | Khan Academy

# data[].attributes.body
Teacher demonstrates solving these equations using the quadratic formula:
1. x² + 5x + 6 = 0
2. 2x² - 7x + 3 = 0

# data[].attributes.body
In pairs, students will create a Padlet post showing their step-by-step solution to an assigned quadratic equation. Each pair will then provide feedback on another pair's work.

# data[].attributes.body
Practice solving quadratic equations with this online tool

# data[].attributes.body
For advanced students: Explore quadratic equations in real-world scenarios like projectile motion and profit optimization.

# data[].attributes.body
Additional practice with identifying a, b, and c coefficients in quadratic equations

# data[].attributes.attachment_link.readable_text
Show Mobile Notice Show All Notes Hide All Notes

You appear to be on a device with a "narrow" screen width ( i.e. you are probably on a mobile phone). Due to the nature of the mathematics on this site it is best views in landscape mode. If your device is not in landscape mode many of the equations will run off the side of your device (should be able to scroll to see them) and some of the menu items will be cut off due to the narrow screen width.

Section 2.5 : Quadratic Equations - Part I

For problems 1 - 7 solve the quadratic equation by factoring.

For problems 8 & 9 use factoring to solve the equation.

For problems 10 - 12 use factoring to solve the equation.

1. \(\displaystyle \frac{{{w^2} - 10}}{{w + 2}} + w - 4 = w - 3\) Solution

2. \(\displaystyle \frac{{4z}}{{z + 1}} + \frac{5}{z} = \frac{{6z + 5}}{{{z^2} + z}}\) Solution

3. \(\displaystyle x + 1 = \frac{{2x - 7}}{{x + 5}} - \frac{{5x + 8}}{{x + 5}}\) Solution

For problems 13 - 16 use the Square Root Property to solve the equation.

# data[].attributes.attachment_link.title
Algebra - Quadratic Equations - Part I (Practice Problems)

# data[].attributes.attachment_link.description
Here is a set of practice problems to accompany the Quadratic Equations - Part I section of the Solving Equations and Inequalities chapter of the notes for Paul Dawkins Algebra course at Lamar University.

# data[].attributes.body
Throughout the lesson, monitor student understanding using these quick checks:
1. Hand signals (thumbs up/down)
2. White board responses
3. Verbal explanations of steps

# data[].attributes.body
Short 2-question quiz:
1. Identify a, b, c in 3x² - 4x + 1 = 0
2. Solve x² + 2x - 15 = 0

# data[].attributes.body
Class discussion: What are the key steps in using the quadratic formula? What types of equations require its use?

# data[].attributes.body
Students complete on paper:
1. One thing I learned today
2. One question I still have
3. One real-world application of quadratic formula

# data[].attributes.body
Solve these equations using the quadratic formula:
1. x² + 3x - 10 = 0
2. 2x² - 5x + 2 = 0
3. -x² + 6x - 9 = 0

# data[].attributes.body
Complete these interactive exercises for additional practice

# data[].attributes.attachment_link.title
IXL | Solve a quadratic equation using the quadratic formula | Algebra 1 math

# data[].attributes.attachment_link.description
Improve your math knowledge with free questions in "Solve a quadratic equation using the quadratic formula" and thousands of other math skills.

# data[].attributes.body
Create and solve a word problem that requires the quadratic formula. Share your problem on our class Padlet tomorrow!

# data[].attributes.body
Perfect work! Your math processes were spot on and led you to the correct solutions! Fantastic and organized! Keep up the good work!