Quadratics Escape Room~Ms. Dease

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

QuadraticsEscape room

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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!

Introduction

Lesson 06

Lesson 05

Lesson 04

Lesson 03

Lesson 02

Lesson 01

Complete the activity for each lesson and get a fantastic diploma

Escape Education

The numbers you need are -2 and -4.

The numbers you need are 2 and 4.

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

Question 01/03

Lesson 01

The vertex is at (2, -1).

The vertex is at (-3,4).

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

01

Question 02/03

01

The solutions are x=2 and x=3.

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

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.

Question 03/03

Continuing

Move on to the next lesson

Perfect, you have passed!

Lesson 06

Lesson 05

Lesson 04

Lesson 03

Lesson 02

Lesson 01

Complete the activity for each lesson and earn a fantastic diploma

Escape Education

The solution is zero.

The solution is one.

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.

Question 01/03

Lesson 02

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

The solution is x=2 and x=4.

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

01

Question 02/03

01

The maximum height is reached at t=4

The maximum height is reached at t=1 seconds.

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.

Question 03/03

Continuing

Move on to the next lesson

Excellent, you have passed!

Lesson 06

Lesson 05

Lesson 04

Lesson 03

Lesson 02

Lesson 01

Complete the activity for each lesson and get a fantastic diploma

Escape Education

Incorrect Answer

x^2-3x+1=0

x^2 - 2x - 3 = 0

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.

Question 01/03

Lesson 03

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

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

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

Question 02/03

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.)

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

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

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

Question 03/03

04

Continuing

Proceed to the next lesson

Great, you have passed!

Lesson 06

Lesson 05

Lesson 04

Lesson 03

Lesson 02

Lesson 01

Complete the activity for each lesson and earn a fantastic diploma

Escape Education

The decoded message is "AB".

The decoded message is "AE".

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

Question 01/03

Lesson 04

BE

AE

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

Question 02/03

04

C

X=-1

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

Question 03/03

04

Continuing

Advance to the next lesson

Perfect, you have passed!

Lesson 06

Lesson 05

Lesson 04

Lesson 03

Lesson 02

Lesson 01

Complete the activity for each lesson and get a fantastic diploma

Escape Education

IThe vertex is at (2, 3).

The vertex is at (2, -5).

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.

Question 01/03

Lesson 05

4 and 5

-4 and -5

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.

01

Question 02/03

01

Ix=8

x = -3

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.

Question 03/03

Continuing

Move on to the next lesson

Perfect, you have passed!

Lesson 06

Lesson 05

Lesson 04

Lesson 03

Lesson 02

Lesson 01

Complete the activity for each lesson and earn a fantastic diploma

Escape Education

The maximum height is 10/15.

t=2a−b =−10−15 =1.5 seconds.

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.

Question 01/03

Lesson 06

99 square meters

89 square meters

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?

01

Question 02/03

01

12

6

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.

Question 03/03

You have completed all the lessons, we have finished

Great!

Perfect, you have passed!

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

Let's go!

Escape Education

🎉 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.

Education Diploma

Congratulations!

Quadratic School

Ms. Dease

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