# Factoring Activity

Valerie Meckel

Created on March 17, 2024

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## Transcript

dragon

dungeon

The

Start game

Story

BREAKOUT

's

Legend says that a faraway kingdom forged a sword that together with the power of the Elemental Gems (fire, water, air, and earth) could defeat any evil. Use your factoring skills to gather the gems and assemble the ultimate weapon that will help you defeat the dragon hiding in the dungeon.

Start game

Thank goodness you’ve come! We need your help!You need to find the 4 Elemental Gems so that the sword has enough power for you to be able to defeat the fearsome dragon that is terrorizing our people…

X

Help us, only a mighty mathematician like you can do it!

No thank you, I’ll pass

Of course!

X

Ouch! I thought you were cool ... What will become of us!

Hehehe, I was kidding. Ahem, of course I’ll help you

X

I knew you would not fail me! Thanks a lot! Here is the sword. Now gather the Elemental Gems to activate its power and defeat the dragon.

X

LEVEL 1 - EARTH GEM

Watch out, a wandering skeleton is in your way! Get the earth gem by passing a quiz about when to use the different methods of factoring...

Start level

EARTH GEM

X

Where do you think you’re going, mortal?! You won’t be worthy of the Earth Gem until you get all my questions correct. Do you dare to try?

X

x^2 - 6x - 27

16x^2 + 4

Which expression can be factored with the X-games method?

1

X

64x^2 - 25

12x^2 - 9

Which expression can be factored with the DOTS method?

2

X

7x^4 + 11x - 3

-36x^3 - 12n - 24

Which expression can be factored with the GCF method?

3

X

X Games

GCF

Which method of factoring would you use for x^2 - x - 20

4

X

GCF

DOTS

Which method of factoring would you use for 144x^2 - 49

5

X

Congratulations!! Here is your reward, you have earned it

X

Oh, I've lost my mind, give me another chance!

Hahahaha, what do you say? ...

x

X

Choose the correct X-Games to get out of the room aliveand get the next gem

Start level

AIR GEM

LEVEL 2 - AIR GEM

X

What would be the X-Games chart forx^2 + 3x + 2 ?

X

What would be the X-Games chart for x^2 + 12x + 20 ?

X

What would be the X-Games chart for x^2 - 6x - 27 ?

X

What would be the X-Games chart for x^2 + 3x - 18 ?

X

What would be the X-Games chart for x^2 - 10x + 9 ?

X

You got the Air Gem!

X

GAME OVER

Try again

X

Use your mouse to drag the light to find the correct answer

Start level

WATER GEM

LEVEL 3 - WATER GEM

X

Find the Greatest Common Factor of 2x - 4

2

4

x

X

Find the Greatest Common Factor of 9x^2 - 12x + 3

3

9

6

X

Find the Greatest Common Factor of 12x^5 + 16x

4x

x

4

X

Find the Greatest Common Factor of 15x^2 + 20x^2 - 10x

5x

5

10

X

And now look for the gem and click on it! Hurry up!

X

You got the Water gem!

X

GAME OVER

Try again

X

Search among the tiles for the mathematical operationto find the correct answer

Start level

FIRE GEM

LEVEL 4 - FIRE GEM

X

What does DOTS stand for??

Difference of Two Squares

Distribution of Two Squares

Difference of Three Sums

X

Which expression could be factored using DOTS?

x^2 + 25

x^2 - 36

x^2 - 11

X

Factor using DOTS: x^2 - 169

(x + 13)(x + 13)

(x + 13)(x - 13)

(x - 13)(x - 13)

X

Factor using DOTS: 9x^2 - 1

(3x + 1)(3x - 1)

(x + 3)(x - 3)

(3x + 1)(3x + 1)

X

Factor using DOTS: 121x^2 - 196

(14x + 11)(14x - 11)

(11x + 14)(14x - 11)

(11x + 14)(11x - 14)

X

You got the Fire Gem!

X

Try again

GAME OVER

X

Defeat the dragon!

FINAL LEVEL - DRAGON

X

X

How dare you bother me, you fool!

X

X

X

X

X

X

THE END

You defeated the dragon, and the kingdom i at peace again. And you’ve become became a legend!”

Stay

Exit

SURE YOU WANTTO GO OUT?

What will become of us!