MATH THIS WAY EXPLORING THE WONDERS OF MATH

LESSON RELATIONS AND FUNCTIONS

CALCUBUS GET ON THE CALCUBUS AND

LEARN ABOUT THE FUNCTIONS

AND RELATIONS ON THE BUS

JOKES INSIDE!!! MATH JOKES TO MAKE ANY INTELLECTUAL LAUGH ANY DAY.

ON THE ROAD AGAIN

EXPLORE THE FUNCTIONS AND

RELATIONS BETWEEN A CAR AND

THE ROAD

TABLE OF CONTENTS LETTER FROM THE EDITOR

DEAR PASSENGERS,

YOU ARE IN FOR A WILD RIDE AS WE

TRY TO EXPLAIN TO YOU THE VARIOUS

RELATIONS AND FUNCTIONS OFDIFFER-

ENT MODES OF TRANSPORTATION.

HAVE FUN AS YOU LEARN NEW THINGS

ABOUT THE COMMON MEANS OF

TRANSPORTATION YOU SEE AND

ENCOUNTER AND HOW WE CAN

RELATE MATH TO ALL THESE.

SO, FASTEN YOUR SEATBELTS AND WE

HOPE YOU ENJOY LEARNING AS MUCH

AS WE ENJOYED MAKING THESE

ARTICLES THAT YOU ARE ABOUT TO

READ.

EDITORIAL STAFF

EDITOR IN CHIEF: ALYANA LALA

LAYOUT ARTIST: ANDRE RAMIREZ

CONTRIBUTORS:

MICHELE GIGHE

NJ MONIGO

LANCE WAGAS

1. ON THE ROAD AGAIN

START YOUR ENGINES AND GET ON THE ROAD TO ENLIGHTENMENT.

2. ROW ROW ROW YOUR BOAT

ASSIMILATE THE INFORMATION IN THE ARTICLE ABOUT THE RELATIONS OF A BOAT.

3. THE JOKE PAGE

HILARIOUS JOKES FROM ANDRE RAMI-

REZ AND THE ANONYMOUS PEOPLE ON THE ’NET.

4-5 CALCUBUS

GET ON BOARD THE CALCUBUS AND LEARN ABOUT RELATIONS AND FUNCTIONS ON A BUS.

6. OFF THE RAILS

ENCOUNTER THE RELATION BETWEEN A TRAIN AND ALL THAT A TRAIN MEETS ALONG ITS JOURNEY.

7. SUDOKU CORNER

SUDOKU FOR THE PEOPLE WHO NEED TO KILL TIME.

8. HIGH FLYING

SOAR TOWARD EXCELLENCE AS YOU READ THE LAST ARTICLE ON THE

ROAD IS AN INTEGRAL PART OF OUR TRANSPORTATION SYSTEM TODAY. WITHOUT ROADS, WE WOULD HAVE A HARDER TIME NAVIGATING OUR SURROUNDINGS AND TERRAIN. ROADS HELP US TRAVEL FASTER BY LETTING US FOLLOW A SET OF PATHS THROUGH OUR ENVIRONMENT MAKING TRAVELLING FASTER, SAFER AND CHEAPER. ROADS CAN LET VEHICLES TRAVEL FASTER THEREFORE MAKING OUR LIFE EASIER. ROADS LET DELIVERY PEOPLE GO STRAIGHT TO OUR HOUSES, LET EMERGENCY PERSONNEL GET TO THE LOCATION OF THE EMERGENCY FASTER THEREFORE SAVING MORE LIVES. THE ARTICLE YOU ARE ABOUT TO READ WILL FEATURE THE RELATION A CAR HAS TO A ROAD.

THE CAR CHOOSES THE ROAD. IF THE CAR CHOOSES THE ROAD THEN THE CAR IS THE DOMAIN AND THE ROAD IS THE RANGE. THIS WOULD MEAN THAT THE ROAD DE-

PENDS ON THE CAR TO CHOOSE IT. THE RELATION BETWEEN CARS IS MANY TO ONE. A LOT OF CARS CAN USE THE SAME ROAD AT ONE TIME BUT ONE CAR CANNOT USE MULTIPLE ROADS AT ONE TIME. TO REITERATE MY POINT, A NORMAL, DAILY LOS ANGELES RUSH HOUR CAN HAVE HUNDREDS OF THOUSANDS OF CARS USING ONE ROAD AT THE SAME TIME.

ON THE ROAD AGAIN

ONE OF THE WORST

THINGS THAT CAN

HAPPEN TO YOU WHILE

DRIVING, LA RUSH

HOUR.

SOURCE: HTTP://

JROCOM-

EDY.BLOGSPOT.COM/2

011_10_01_ARCHIVE.H

TML

WRITTEN BY: ANDRE RAMIREZ

ROW ROW ROW YOUR BOAT

BOATS TODAY ARE VERY IMPORTANT. THEY ARE THE MAIN TRANSPORTATION OF A LOT OF

TRADE IN THE WORLD. BOATS ARE IMPORTANT JUST IN THE PHILIPPINES ALONE, BEING AN

ISLAND COUNTRY, A LOT OF PEOPLE HAVE BOATS AND RELY ON THEM. FOR EXAMPLE AS

TRANSPORTATION, FOOD, AND BASIC RECREATION.

THE RELATION BETWEEN PEOPLE AND BOAT IS A MERE RELATION. THIS IS WHERE THE POPLE

IS THE DOMAIN AND THE BOAT IS THE RANGE. IT IS A MERE RELATION BECAUSE THERE CAN

BE A LOT OF PEOPLE INSIDE ONE BOAT. INTERESTINGLY ENOUGH THE TITANIC WHICH USED

TO BE THE BIGGEST PASSENGER SHIP OF ITS TIME CAN ONLY CARRY ABOUT 3500 PEOPLE

AND THE LARGEST CRUISH SHIP NOW CAN CARRY OVER DOUBLE THAT, 8500 PEOPLE. THIS IS

A MANY TO ONE RELATION BECAUSE THERE CAN BE MANY PEOPLE IN ONE BOAT, THEREFORE

IS NOT A VALID FUNCTION.

WRITTEN BY: MICHELE GIGHE

AN EXEMPLARY

EXAMPLE OF A

FERRY BOAT THAT

TRANSPORTS

PEOPLE.

HTTP://

UP-

LOAD.WIKIMEDIA.O

RG/WIKIPEDIA/

COMMONS/1/1F/

FERRY_BOAT_SHIP_

HELSINKI.JPG

THE JOKES PAGE WRITTEN BY: ANDRE RAMIREZ AND THE INTERNET

Why cant you serve beer at a math party?

Because you cant drink and derive

Why was 6 afraid of 7?

Because 7,8,9

Why are math books always sad?

Because they have too many problems

What did Al Gore play on his guitar?

An Algorithm

Why didn't Goldilocks drink the water with 8 ice cubes?

Because it was too cubed

Why don't mathematicians co to the beach?

They don't need to go to the beach to get a Tan, they have

Sin and Cos.

What is a proof?

.5% alcohol Content

CALCUBUS WRITTEN BY NJ MONDIGO

BUSES ARE VERY USEFUL IN OUR EVERYDAY LIFE, THEY TRANSPORT A LARGER NUM-

BER OF PEOPLE OTHER THAN YOUR AVERAGE DAY TO DAY CARS. NOW IT’S SIMPLE

TO ASK THE QUESTION “HOW DOES THIS RELATE TO OUR TOPIC ABOUT RELATIONS

AND FUNCTIONS?” YOU SEE WE SOMETIMES DON’T QUITE UNDERSTAND OR SEE THE

MATH IN OUR DAY TO DAY ACTIVITIES, FROM BUDGETING YOUR TIME TO NOT BE

LATE FOR SCHOOL TO BUDGETING THE AMOUNT OF MONEY TO SPEND FOR YOUR

SNACKS.

RELATIONS ARE A SET OF ORDERED NUMBERS THIS MEANS THAT THERE IS

A CERTAIN RELATIONS BETWEEN A BUNCH OF INFORMATION THAT IS GIVEN LIKE

HEIGHT, GRADES, AND SECTIONS OF STUDENTS. BOTH IN RELATIONS AND FUNC-

TIONS THESE PAIRS ARE “ORDERED” MEANING ONE COMES AFTER THE OTHER.

AN ICON OF THE KINGDOM OF ENGLAND

DOUBLE DECKER BUSES.

SOURCE: HTTP://WWW.DOUBLEDECKER-BUS.COM/COUNTRIES/

THE DOMAIN IS THE INDEPENDENT VARIABLE MEANING IT IS THE ONE THAT

CHANGES OR IT CAN BE CONTROLLED, THE RANGE IS THE DEPENDENT VARIABLE

MEANING IT IS THE OUTPUT OF WHAT THE INDEPENDENT VARIABLE HAD CREATED.

IN A BUS ANALOGY ON RELATIONS THERE ARE DIFFERENT HIGHWAYS AND

ROADS IN A CERTAIN AREA AND ALSO THERE ARE BUSES OF ALL KINDS TRAVELLING

IN THESE HIGHWAYS. THIS IS CALLED A RELATIONS WHEREIN A CERTAIN HIGHWAY IS

LOCATED NORTH WHERE BUSES OF ALL KINDS TRAVEL. THE HIGHWAY LOCATED ON

THE SOUTH CAN ALSO ACCOMPANY THE SAME BUSES THAT WERE TRAVELLING IN

THE NORTH.

A FUNCTION IS SOMEWHAT YOU CALL A “SPECIAL KIND OF RELATION”. A

FUNCTION HAS AN INPUT AND AN OUTPUT WHERE THE SETS CANNOT HAVE THE

SAME ABSCISSA BECAUSE IT IS AN INDEPENDENT VARIABLE IT CAN BE SUBSTITUTED

TO CHANGE THE DEPENDENT VARIABLE WHERE THE OUTPUT LIES.

FUNCTIONS ABOUT BUSES THE STUDENTS HAVE BEEN ASSIGNED SPECIFIC

SEATS THAT THEY WILL USE TO SIT DOWN WHEN THEY GO INSIDE AND RIDE. THE DO-

MAIN OF THE FUNCTION IS THE STUDENT AND THE RANGE OF THE FUNCTION IS

THEIR ASSIGNED SEATS. THE DOMAIN MEANING THE STUDENTS CANNOT BE

REPEATED TWICE BECAUSE THE STUDENT CANNOT SIT ON 2 CHAIRS

OFF THE RAILS WRITTEN BY: LANCE WAGAS

TRAIN COMES FROM THE OLD FRENCH TRAINER, FROM THE LATIN TRAHERE WHICH MEANS “PULL, DRAW”. TRAIN IS A FORM OF TRANSPORTATION IN A RAIL TRACK THAT TRANSPORTS CARGO OR PASSENGERS. TRAINS ARE IMPORTANT TO US SINCE THEY TRANSPORT US FROM ONE PLACE TO ANOTHER. USING THE TRACKS TO LEAD US WHERE WE HAVE TO GO.

A RELATION IS A SET OF ORDERED PAIRS. DOMAIN IS A SET OF ALL X-VALUES IN A RELATION AND IS THE STARTING POINT. RANGE IS A SET OF ALL Y-VALUES IN THE RELATION AND IS THE ENDPOINT.A FUNCTION IS A SET OF ORDERED PAIRS, IN WHICH EACH X-ELEMENT IS ASSIGNED ONLY TO ON Y-ELEMENT. A FUNCTION IS A RELATION, BUT NOT ALL THE TIME THAT A RELATION CAN BE A FUNCTION.

I CAN SAY THAT THE TRAIN IS THE RANGE AND THE TRACK IS THE DOMAIN. THE TRAIN TRACK IS THE DOMAIN SINCE IT CONTROLS WHERE THE TRAIN GOES AND PASSES. THERE IS ONLY ONE TRAIN IN ONE TRACK BECAUSE IF THERE ARE 2 TRAINS IN THE SAME TRACK IT COULD END IN A BIG ACCIDENT.

ENGLISH “UNDERGROUND” TRAIN

SOURCE:HTTP://EN.WIKIPEDIA.ORG/WIKI/TRAIN#MEDIAVIEWE

R/FILE:390029_%27CITY_OF_STOKE-ON-TRENT%27_AT_BIRMINGHA

M_NEW_STREET.JPG

SUDOKU CORNER MADE BY : ANDRE RAMIREZ

An airplane is an aircraft that has a fixed wing and is powered by propellers and

jets. The broad spectrum of uses for airplane includes, recreation, transportation of

goods and people, military and research. The Philippines has 12 international air-

ports, and has more than 20 major and minor domestic airports serving the country,

the airplane is one of the fasted mode of transportation.

THE AIRPLANE CAN TAKE MORE THAN ONE PERSON AT A CERTAIN PLACE THIS IS A RELATION. THE X

IS THE AIRPLANE AND THE Y’S ARE THE PEOPLE. A RUNWAY IS AN AREA PREPARED FOR THE LAND-

ING AND TAKE-OFF OF AN AIRCRAFT. IN A RUNWAY, THERE CAN ONLY BE ON AIRPLANE THAT CAN

LAND OR TAKE OFF. NOT MORE THAN ONE AIRPLANE CAN LAND AT THE SAME TIME BECAUSE THEY

MAY CRASH INTO EACH OTHER. THE X IS THE RUNWAY AND THE Y’S ARE THE AIRPLANES. THIS IS A

FUNCTION. THE AIRPORT IS WHERE THE RUNWAY IS LOCATED. AIRCRAFTS MAY BE STORED OR

MAINTAINED AT AN AIRPORT IN AN AIRPORT, YOU CAN STORE LOTS OF AIRPLANES AT ONCE. THE X

IS THE AIRPORT AND THE Y’S ARE THE AIRPLANES. THIS IS A RELATION.

HIGH FLYING WRITTEN BY: ALYANA LALA

EXAMPLE OF A PLANE COMMONLY SEEN IN THE AIR TODAY. THE COMMER-

CIAL JET

SOURCE: HTTP://WWW.WALLPAPERUP.COM/26520/VEHI-

CLES_AIRCRAFT_AIRPLANE_TILT_SHIFT_WINGS_ROADS

_RUN-

WAY_JET_AIRLINER.HTML

MADE BY: NJ MONDIGO