Century Math Projects

© 21st Century Math Projects


Project Title : CSI Algebra: Polynomials

Standard Focus: Number, Number Sense, and

Operations, Measurement

Time Range : 1-3 Days

Supplies : Pencil and Paper

Topics of Focus :

- Multiplying and Dividing Monomials

- Scientific Notation

- Adding and Subtracting Polynomials

- Multiplying Polynomials

This particular was mapped to the curriculum in Glencoe Algebra 1 Chapter 8 and can be used

as an enrichment or review activity.

Expressions and

Equations 6.EE

2c. Evaluate expressions at specific values of their variables. Include

expressions that arise from formulas used in real-world problems.

Expressions and

Equations 7.EE

4. Use variables to represent quantities in a real-world or mathematical

problem, and construct simple equations and inequalities to solve problems

by reasoning about the quantities.

Arithmetic with

Polynomials and

Rational

Expressions

A-

APR

1. Understand that polynomials form a system analogous to the integers,

namely, they are closed under the operations of addition, subtraction, and

multiplication; add, subtract, and multiply polynomials.

Procedures:

A.) Student will be given the letter from Chief Harris, the possible suspects, and crime scene puzzles.

B.) Students will work in pairs or individually to solve the crime.

C.) Students will determine which suspect should be arrested.

D.) Students will create a portfolio of evidence proving that they have arrested the right person and will

demonstrate their understanding of their mathematical content present in the problem.

*E.) Students can present their evidence to the class as an oral presentation.

*Extensions


CSI Algebra: Polynomials

Detectives,

As you probably could have guessed, the evil genius terrorist group the Mathemagicians are at it again.

The latest series of heists have brought a dark cloud over the Land of the Rising Sun -- Japan. The latest

heists are by the hand of anonymous minion, Hideo Nomial. Investigators fear that the Mathemagicians

are putting the finishing touches on their world conquering device -- to conquer the world.

As has become their trademark, the Mathemagicians have scattered

six mathematical puzzles and a cryptic text message that must be

solved. After solving the puzzles, you can decode the message which

will lead to Hideo’s favorite number. So far there are six suspects

that police have questioned. It is hoped that someone with a

relatively strong number sense and geometry spatial sense can crack

some codes that have puzzled the detectives on the case so far.

Your job is to bring Hideo Nomial to justice and save the planet. You

need to be prepared to state your case and demonstrate your

understanding of the following skills that Hideo is known to use in

the notes.

- Multiplying and Dividing Monomials

- Scientific Notation

- Adding and Subtracting Polynomials

- Multiplying Polynomials

Be sure to include:

- Other examples of the concepts

- Definitions

- Any other relevant information.

This is not a time to be sloppy. The slightest miscalculation or illegible footnote could result in a not

guilty verdict. Oh, did I mention that use of a calculator might prematurely set off his world conquering

device? Good luck to you, gumshoe.

Chief Harris


CSI: The Evidence

Name:_______________________________

1.

Clue

___________

2.

Clue

___________

3.

Clue

___________


4.

Clue

___________

5.

Clue

___________

6.

Clue

___________

Cryptic Text Message

Suspect

___________


Who is Hideo Nomial?

Name: Tommy

Occupation: Game Show

Host

Favorite Number : 0

Name: HD

Occupation:

Entertainer

Favorite Number: -3.2 x 105

Name: Siku

Occupation: Game

Designer

Favorite Number: -74

Name: Esteban

Occupation:

Professional Ping

Pong Player

Favorite Number:

6.9 x 1013

Name: Roanoke

Occupation: Farmer

Favorite Number: 1.1 x 105

Name: Yamamoto

Occupation: Automotive

Executive

Favorite Number:

3.2 x 104


Scene #1 Origami Laboratory –- Osaka, Japan

Late at night there was a break-in at a lab that specializes in mathematical, micro-origami figures.

The scientist was devastated to find out his entire Pokemon collection was taken.

The sun will soon set on the

Land of the Rising Sun. The

Mathemagicians will reign!

That is unless you can conquer

my polynomial puzzles, but I

doubt it. Off we go…

Add the perimeter of this

origami crane, match it to the

correct answer below and

you’ll have the first piece of

the puzzle.

Scene #2 Kantei –- Toyko

The office of the Japanese Prime Minister was raided and a thousand top secret flash drives were taken

from the secret flash drive vault. In the vault, investigators found this note.

You shouldn’t spend what you don’t have and you shouldn’t need a Mathemagician

to tell you that. If you’re not careful, you’ll be in worse financial shape than the

United States. Let’s see if you can handle some scientific notation conversion...

In July 2012, the national debt of Japan was about $7.203 x 1012

(converted from yen to dollars) and the population was 1.27 x 108.

About how much was each Japanese citizen’s share of the national

debt at that time?

Round your total to the nearest dollar and find it below.

12x + 17y 12x +14y 14x +12y 17x+12y b = -4

c = -4

d = -4

f = -4

$52,919 $56,717 $58, 215 $60,420

a = 2.5 x 103

b = 2.5 x 103

c = 2.5 x 103

f = 2.5 x 103


Scene #3 Higashi Hongan-ji -- Kyoto, Japan

During the night, a number of healing tea leaves were taken from one of the largest Buddhist temple

in Japan. ATV marks on the floor and splatters on the carpet indicate Hideo Monomial was trying to

make a fresh batch of tea on the run.

Let’s use a little area dissection on

one of the world’s most recognizable

flags.

Calculate an expression for the area

of the white space on the flag and

match your answer to the correction

option below. (Use 3.14 for π)

Scene #4 Ryougoku Sumo Hall –- Sumida, Tokyo, Japan

A locker room attendant noticed a broken window around the belongings of the greatest sumo champs

in the country. It is believed, Hideo Nomial stole the mawashis of the ten largest men from the dirty

laundry. The attendant later found this note in a soiled mawashi.

Large men wear large mawashis. These should make excellent slingshots. See if you

can handle a sumo sized chain problem…

Solve the equations from left to right and hopefully you’ll figure out z.

z = ______

4.86x2 + 1.72xy – 9.14y2

c = 2 4.86x2 – 1.72xy + 9.14y2

f = 2

4x(x-2) = 4(x2 -3)- 4

xy(y+x) = x(y2-7)+x

yz(xz – x) = xy(z2 – x) – 3x


Scene #5 Geisha Karaoke Restaurant – Kyoto, Japan

This morning the geishas were alarmed to find out that their trademark face powder and their best

karaoke machine were stolen.

None of the geishas would give me their memoirs. What’s up with that?

How many of the outside expressions are the same as this one?

This answer is equal to g.

g =______

x2 - 4x - 5

(x2 – 2x – 1) – (2x + 4)

(x2 – 8x – 2) + (4x -3)

2(0.5x2 – 2x) – 5

(2.4*103)

(4.8*102

)

x2 – 4x –

(x5y2z)

(x3y2z)

– 4x – 5

(x-5)(x+1)


Scene #6 Underground Ninja Academy –- Parts Unknown

It is believed that Hideo Nomial, disguised as a pizza delivery man, infiltrated the secret Ninja

camp. Nomial left with a cache of ninja stars and nunchucks. Later the ninja sensei found this

note and investigators were sent a cryptic text message.

Cowabunga dudes,

Since I’m a diamond class ninja, I need to build my team. One credential I’m looking

for is a ninja’s ability to break down complex polynomials. This is a good indication of

their ability to break arms and legs. You might not believe me, but trust me -- I’m a

diamond class ninja.

Choose the ninja who has the

most correct answers.

Master Mitsubishi

b=10

Samurai Nintendo

c=10

Sensei Sony

g=10

Shogun Toshiba

f=10

CRYPTIC PUZZLE SOLVER TEXT MESSAGE

It’s Hideo Nomial here. Cruising in my Prius. Here’s your

code… If you dare.

)fd)(bz

fc( c

g


Thank you for being my Math Friend!

If you liked this

21st Century Math Project You might like others. (Click the logo)

Math it Up. Boomdiggy.

http://www.nextlesson.org/21st-century-math


Who is Hideo Nomial?

Name: Tommy

Occupation: Game Show

Host

Favorite Number : 0

Name: HD

Occupation:

Entertainer

Favorite Number: -3.2 x 105

Name: Siku

Occupation: Game

Designer

Favorite Number: -74

Name: Esteban

Occupation:

Professional Ping

Pong Player

Favorite Number:

6.9 x 1013

Name: Roanoke

Occupation: Farmer

Favorite Number: 1.1 x 105

Name: Yamamoto

Occupation: Automotive

Executive

Favorite Number:

3.2 x 104


Scene #1 Origami Laboratory –- Osaka, Japan

Late at night there was a break-in at a lab that specializes in mathematical, micro-origami figures.

The scientist was devastated to find out his entire Pokemon collection was taken.

The sun will soon set on the

Land of the Rising Sun. The

Mathemagicians will reign!

That is unless you can conquer

my polynomial puzzles, but I

doubt it. Off we go…

Add the perimeter of this

origami crane, match it to the

correct answer below and

you’ll have the first piece of

the puzzle.

Scene #2 Kantei –- Toyko

The office of the Japanese Prime Minister was raided and a thousand top secret flash drives were taken

from the secret flash drive vault. In the vault, investigators found this note.

You shouldn’t spend what you don’t have and you shouldn’t need a Mathemagician

to tell you that. If you’re not careful, you’ll be in worse financial shape than the

United States. Let’s see if you can handle some scientific notation conversion...

In July 2012, the national debt of Japan was about $7.203 x 1012

(converted from yen to dollars) and the population was 1.27 x 108.

About how much was each Japanese citizen’s share of the national

debt at that time?

Round your total to the nearest dollar and find it below.

12x + 17y 12x +14y 14x +12y 17x+12y b = -4

c = -4

d = -4

f = -4

$52,919 $56,717 $58, 215 $60,420

a = 2.5 x 103

b = 2.5 x 103

c = 2.5 x 103

f = 2.5 x 103


Scene #3 Higashi Hongan-ji -- Kyoto, Japan

During the night, a number of healing tealeaves were taken from one of the largest Buddhist temple

in Japan. ATV marks on the floor and splatters on the carpet indicate Hideo Monomial was trying to

make a fresh batch of tea on the run.

Let’s use a little area dissection on

one of the world’s most recognizable

flags.

Calculate an expression for the area

of the white space on the flag and

match your answer to the correction

option below. (Use 3.14 for π)

Scene #4 Ryougoku Sumo Hall –- Sumida, Tokyo, Japan

A locker room attendant noticed a broken window around the belongings of the greatest sumo champs

in the country. It is believed, Hideo Nomial stole the mawashis of the ten largest men from the dirty

laundry. The attendant later found this note in a soiled mawashi.

Large men wear large mawashis. These should make excellent slingshots. See if you

can handle a sumo sized chain problem…

Solve the equations from left to right and hopefully you’ll figure out z.

z = ______1

4.86x2 + 1.72xy – 9.14y2

c = 2 4.86x2 – 1.72xy + 9.14y2

f = 2

4x(x-2) = 4(x2 -3)- 4 4x

2-8x = 4x

2-12 - 4

-8x = -16 X=2

xy(y+x) = x(y2-7)+x 2y(y+2) = 2(y2-7)+2 2y2+4y=2y2-14+2

4y=-12 y=-3

yz(xz – x) = xy(z2 – x) – 3x -3z(2z – 2) = 2(-3)(z2-2)-3(2) -6z2 +6z = -6(z2-2)-6 -6z2 +6z = -6z2+12-6 6z = 6 Z = 1


Scene #5 Geisha Karaoke Restaurant – Kyoto, Japan

This morning the geishas were alarmed to find out that their trademark face powder and their best

karaoke machine were stolen.

None of the geishas would give me their memoirs. What’s up with that?

How many of the outside expressions are the same as this one?

This answer is equal to g.

g =______ g =6 (all are equal)

x2 - 4x - 5

(x2 – 2x – 1) – (2x + 4)

(x2 – 8x – 2) + (4x -3)

2(0.5x2 – 2x) – 5

(2.4*103)

(4.8*102

)

x2 – 4x –

(x5y2z)

(x3y2z)

– 4x – 5

(x-5)(x+1)


Scene #6 Underground Ninja Academy –- Parts Unknown

It is believed that Hideo Nomial, disguised as a pizza delivery man, infiltrated the secret Ninja

camp. Nomial left with a cache of ninja stars and nunchucks. Later the ninja sensei found this

note and investigators were sent a cryptic text message.

Cowabunga dudes,

Since I’m a diamond class ninja, I need to build my team. One credential I’m looking

for is a ninja’s ability to break down complex polynomials. This is a good indication of

their ability to break arms and legs. You might not believe me, but trust me -- I’m a

diamond class ninja.

Choose the ninja who has the

most correct answers.

Master Mitsubishi

b=10

Samurai Nintendo

c=10

Sensei Sony

g=10

Shogun Toshiba

f=10

CRYPTIC PUZZLE SOLVER TEXT MESSAGE

It’s Hideo Nomial here. Cruising in my Prius. Here’s your code… If you

dare. d = -4 b = 2.5 x 103 c=2 f=10 Z = 1 g = 6

2000000/2500 = 800 ( -400) =-3.2x105

)fd)(bz

fc( c

g

Date post:	02-Feb-2022
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