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Create a storyboard or cartoon on how to solve Quadratics.  Or if you prefer, write an instruction manual to solve Quadratics.

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Create a storyboard or cartoon on how to solve Quadratics.  Or if you prefer, write an instruction manual to solve Quadratics.

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Storyboard Text

I have an problem that I have to factor...it's 3m^2-10m-57.

﻿Using the Quadratic Formula for Factoring By Abby Sirinides

I...I don't think I can factor this! What will I do?

You can't factor it? That doesn't make sense...the quadratic formula always works!

The quadratic formula? what's that?

It's the formula that allows you to factor equations that don't have an obvious solution.

The formula is: -b plus or minus the square root of b squared minus 4(a)(c) all over 2(a).

So I can plug my equation in and i'll be able to solve it?

That's exactly right!

Wow thank you so much! This makes factoring so much easier!

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quadratic equation comic strip by abby sirinides

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Quadratic Equation Comic Strip by Abby Sirinides

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Storyboard Text I have an problem that I have to factor...it's 3m^2-10m-57. ﻿Using the Quadratic Formula for Factoring By Abby Sirinides I...I don't think I can factor this! What will I do? You can't factor it? That doesn't make sense...the quadratic formula always works! The quadratic formula? what's that?

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Take a stroll through a city or outdoors and take pictures or videos of as many  Quadratics as you can find.

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Quadratics Real World Examples - Lessons - Tes Teach

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Solved: Is Being Able To Find A Quadratic Model (equation ....Quadratic Functions and Parabolas in the Real World - YouTube.Real World Example - Quadratic Functions.Will It Hit The Hoop - Real World Quadratic Equations - Tap Into ....Systems of Linear and Quadratic Equations.12.04.03: Quadratic Regressions and the Catapult Wars.Quadratic Poster Project - MR. FERGUSON.Quadratics: equations, function, linear equations, math , math ....JAXA | Hayabusa2 Orbit Outline (Scheduled orbit as of Nov.

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Grab a ball (football, soccer, basketball, baseball) of you choice and with help from a partner, film the "arc" (quadratic) of the flight of the ball.   Either through graphing or mathematically, try to create an equation for the flight.

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Have you solved any quadratic equations lately? Chances are you have. In fact, many Americans spend several hours each week not only solving quadratic equations, but watching other people solve them as well!

If you haven't guessed by now, I am talking about watching sports on television. You didn't pull out your pencil and paper and work through the quadratic formula to solve the equation, but your brain still makes an attempt to do it just by watching.

When a ball is thrown, kicked, or hit, the trajectory it follows is parabolic and is described algebraically by a quadratic equation. This is a somewhat of a simplification - it does not take into account things like wind resistance - but it is a good basic model of the trajectory.

Graphical Representation of a Quadratic Equation

A quadratic equation usually has two distinct solutions -the points where it crosses the x-axis; in a real-world sports scenario these would correspond to the following points - the point where the ball started from and the point where it would hit the ground, or go through the net, or be caught - depending on the sport.

Quadratic Equations in Basketball

Similarly, in basketball, the player who is making a shot is writing an equation so that the solution will result in the ball going through the net. And if they give you the right camera shot at home, you will again make your guess as to whether the shot will go in or not. In basketball, this is easier to see since the goal is not moving like the receiver is in football. Here your eyes are looking for the vertex - the highest point the ball achieves - which should be about halfway between the shooter and the backboard.

Quadratic Equations in Football

So who "writes" the quadratic equation in sports? Let's start with a football example. Here, the author is the quarterback. When he drops back to throw a long pass, he determines a point where he believes his receiver will be and throws the ball in a parabolic arc aimed at that point. In other words, he has written a quadratic equation with a particular solution. When the receiver sees the ball, his eyes begin to track it long enough to pick up the trajectory so that he can run to the solution - and arrive just in time to catch the ball. In the meantime, what are you doing? When the ball is thrown and the camera zooms out showing the path of ball, don't you start doing your own calculation of where the ball will land and whether the receiver will get there in time or not? See, you are solving the equation right along with the receiver!

Quadratic Equations in Baseball

Finally, baseball! Under normal conditions, most fly balls are modeled well by a parabola. If it is extremely windy, this will disrupt the trajectory - and will cause the fielders a lot of problems! Most outfielders will tell you that the hardest ball to catch is the one that is hit directly at them - this is because they have trouble picking up the trajectory of the ball. And once again, you the fan, whether at home or at the park, are watching the majestic arc of the ball, the path of the outfielder, and mentally computing whether or not you think the ball will be caught. A roar goes up when a player makes a surprising catch - that is, most of the fans computed "no" but the player caught the ball anyway!

Conclusion

So, I hope you enjoy solving watching those majestic parabolas fly through the outfield this weekend! Or maybe you will be out there on the softball diamond yourself chasing down the ball. Either way, what do you think about this? Do you feel motivated to study the quadratic formula now that you realize you're brain has been doing it this whole time? Let us know your thoughts by commenting below.
*ThoughtHub is provided by SAGU, a private Christian university offering more than 60 Christ-centered academic programs - associates, bachelor's and master's and doctorate degrees in liberal arts and bible and church ministries.

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The Sport of Solving Quadratic Equations

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Have you solved any quadratic equations lately? Chances are you have. In fact, many Americans spend several hours each week not only solving quadratic equations, but watching other people solve them as well! If you haven't guessed by now, I am talking about watching sports on television.

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Use Desmos calculator to view parabola (quadratics).   Change the "a", "b" and "c" coefficients via the sliders on the right and notice how each changes the graphs.  Take screen shots and be ready to discuss with the class.  Then create your own equations and graph them.

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Try you skills at the 3 methods to solve Quadratics (factoring, completing the square and the quadratic formula) at MathPapa.  Use their calculator to verify your work by selecting the method below the equation.

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Example: x^2+5x+4

Example (Click to try)

How to factor expressions

If you are factoring a quadratic like x^2+5x+4 you want to find two numbers that

Add up to 5

Multiply together to get 4

Since 1 and 4 add up to 5 and multiply together to get 4, we can factor it like:
(x+1)(x+4)
Current calculator limitations

Doesn't support multivariable expressions

If you have an expression that you want the calculator to support in the future, please contact us

Factoring Expressions Video Lesson

Need more problem types? Try MathPapa Algebra Calculator

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Example: x^2+5x+4 If you are factoring a quadratic like x^2+5x+4 you want to find two numbers that Add up to 5 Multiply together to get 4 Since 1 and 4 add up to 5 and multiply together to get 4, we can factor it like: (x+1)(x+4) Doesn't support multivariable expressions If you have an expression that you want the calculator to support in the future, please contact us Need more problem types?

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Grab your classmates and create a skit, video or song demonstrates what Quadratic Equations are and maybe even how to solve them! Organize your classmates into roles, parts or task so that everyone particpates.

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Create a google form survey for your classmates to test their knowledge of Quadratics.  Ask about the form of a Quadratics Equation, the methods of solving Quadratics and some pertinent vocabulary. 

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Create a google form survey for your classmates to test their knowledge of Quadratics.  Ask about the form of a Quadratics Equation, the methods of solving Quadratics and some pertinent vocabulary. 

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Listen to "pop goes the weasel" to help memorize the quadratic formula.