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Quadratics Escape Room~Ms. Dease

Suzette Johnson

Created on November 6, 2024

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Transcript

Quadratics Escape room

Quadratics a Plenty!! Are YOU ready??!!

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Introduction

Welcome to the Quadratics Escape Room! In this thrilling adventure, you and your team will dive deep into the fascinating world of quadratic equations. Your mission is to solve a series of challenging puzzles and riddles that will test your knowledge of quadratics, all while racing against the clock. As you enter the escape room, you will discover that the key to your freedom lies hidden within the intricate relationships of quadratic functions. From factoring and graphing to solving equations using the quadratic formula, every challenge will require teamwork, critical thinking, and creativity. To succeed, you must work together to unlock clues, decode messages, and uncover the secrets of quadratics. Each solved puzzle will bring you one step closer to escaping, but beware—time is running out! Are you ready to embark on this mathematical journey? Gather your wits, put on your problem-solving hats, and let’s see if you have what it takes to escape the Quadratics Escape Room!

Start

Escape Education

Complete the activity for each lesson and get a fantastic diploma

Lesson 03

Lesson 02

Lesson 01

Lesson 06

Lesson 05

Lesson 04

Lesson 01

Question 01/03

To unlock the first door, you must factor the equation: x^2 - 6x + 8 = 0. What two numbers will help you escape?

The numbers you need are 2 and 4.

The numbers you need are -2 and -4.

01

Question 02/03

Find the vertex of the quadratic function y = x^2 - 4x + 3. The coordinates of the vertex will lead you to the next clue.

The vertex is at (-3,4).

The vertex is at (2, -1).

01

Question 03/03

Use the quadratic formula to solve for x in the equation 2x^2 + 4x - 6 = 0. The roots will reveal the combination to the next lock.

The solutions are x = 1 and x = -3.

The solutions are x=2 and x=3.

Perfect, you have passed!

Move on to the next lesson

Continuing

Escape Education

Complete the activity for each lesson and earn a fantastic diploma

Lesson 03

Lesson 02

Lesson 01

Lesson 06

Lesson 05

Lesson 04

Lesson 02

Question 01/03

Determine the nature of the roots for the equation x^2 - 4x + 4 = 0 using the discriminant. Your answer will guide you to the next step.

The solution is one.

The solution is zero.

01

Question 02/03

Complete the square for the equation x^2 + 6x + 8 = 0 to find the value of x. The answer will unlock the next clue.

The solution is x=2 and x=4.

Completing the square gives x = -3 \pm 1, so x = -2 or x = -4.

01

Question 03/03

A projectile is launched, and its height is described by the equation h(t) = -16t^2 + 32t + 48. Determine the time at which it reaches its maximum height to proceed.

The maximum height is reached at t=1 seconds.

The maximum height is reached at t=4

Excellent, you have passed!

Move on to the next lesson

Continuing

Escape Education

Complete the activity for each lesson and get a fantastic diploma

Lesson 03

Lesson 02

Lesson 01

Lesson 06

Lesson 05

Lesson 04

Lesson 03

Question 01/03

Inside the box, you must find the quadratic equation whose roots are 3 and -1. Write it in standard form to unlock the next clue.

x^2-3x+1=0

x^2 - 2x - 3 = 0

Incorrect Answer

04

This involves solving quadratic equations to reveal hidden messages. Each equation's solution leads to a letter that corresponds to its position in the alphabet (A=1, B=2, C=3, etc.)

Question 02/03

Solve for x: x^2 - 5x + 6 = 0

The letters corresponding to the numbers are B (2) and C (3).

IThe letters corresponding to the numbers are A(1) and B(2).

04

Question 03/03

Solve for x: 2x^2 - 8x + 6 = 0

The letters are A (1) and C (3). The decoded message is "AC".

The B(2) and C(-3). The decoded message is "BC".

Great, you have passed!

Proceed to the next lesson

Continuing

Escape Education

Complete the activity for each lesson and earn a fantastic diploma

Lesson 03

Lesson 02

Lesson 01

Lesson 06

Lesson 05

Lesson 04

Lesson 04

Question 01/03

Solve for x: x^2 + 4x - 5 = 0

The decoded message is "AB".

The decoded message is "AE".

04

Question 02/03

Solve for x: x^2 - 7x + 10 = 0

BE

AE

04

Question 03/03

What would you use in your presentation to entertain, provide relevant information, and capture the attention of your class?

X=-1

Perfect, you have passed!

Advance to the next lesson

Continuing

Escape Education

Complete the activity for each lesson and get a fantastic diploma

Lesson 03

Lesson 02

Lesson 01

Lesson 06

Lesson 05

Lesson 04

Lesson 05

Question 01/03

To unlock the next door, find the vertex of the quadratic function y = 3x^2 - 12x + 7. The coordinates of the vertex will reveal the next clue.

The vertex is at (2, -5).

IThe vertex is at (2, 3).

01

Question 02/03

The next clue is hidden in the factors of the equation x^2 - 9x + 20 = 0. Factor it to find the two numbers that will unlock the treasure chest.

-4 and -5

4 and 5

01

Question 03/03

To proceed, complete the square for the quadratic x^2 + 6x + 5 = 0. The value of x at the vertex will lead to your next destination.

x = -3

Ix=8

Perfect, you have passed!

Move on to the next lesson

Continuing

Escape Education

Complete the activity for each lesson and earn a fantastic diploma

Lesson 03

Lesson 02

Lesson 01

Lesson 06

Lesson 05

Lesson 04

Lesson 06

Question 01/03

A ball is thrown upwards from a height of 1 meter, and its height at any time t seconds is given by the equation h(t) = -5t^2 + 15t + 1. Determine the time at which the ball reaches its maximum height to unlock the next clue.

t=2a−b =−10−15 =1.5 seconds.

The maximum height is 10/15.

01

Question 02/03

A rectangular garden has a perimeter of 40 meters. The length L of the garden is 2 meters longer than its width W. Set up a quadratic equation to find the dimensions of the garden. What is the maximum area of the garden?

89 square meters

99 square meters

01

Question 03/03

A company finds that the revenue R (in dollars) from selling x units of a product can be represented by the equation: R(x) = -3x^2 + 36x Identify the number of units x that should be sold to maximize revenue.

12

Perfect, you have passed!

You have completed all the lessons, we have finished

Great!

Escape Education

Great! You have passed all the lessons. Now, get your diploma

Let's go!

Quadratic School

Congratulations!

Education Diploma

🎉 You did it! 🎉 Your hard work and determination have paid off. Solving those quadratic equations was no easy task, but you tackled every challenge with skill and perseverance.

Ms. Dease

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