The name of the show appears in colourful letters on an animated sky. It reads "TVO Kids Power hour of learning. Teacher edition."

The announcer says WELCOME TO

TVOKIDS

POWER HOUR OF LEARNING.

The caption changes to "Today's Junior lesson: Improper and mixed fractions."

The caption changes to "Junior 4-6: Teacher Steven."

Teacher Steven is in his forties, bald and with a thick beard. He wears glasses and a blue shirt.

He says HELLO, EVERYONE,

AND WELCOME TO THIS

POWER HOUR.

I'M TEACHER STEVEN,

AND OF ALL THE PLACES

YOU COULD BE RIGHT NOW,

I'M SO HAPPY YOU'RE HERE.

WE'RE GOING TO LOOK AT

THINGS TODAY IN THE MARVELLOUS

WORLD OF MATH,

BUT IT'S IMPORTANT TO REMEMBER

THAT SOMETIMES THE THINGS

WE TALK ABOUT CAN BE TOUGH,

AND IF YOU DON'T GET IT

RIGHT THE FIRST TIME,

NOT TO WORRY.

JEEPERS, WHEN I WAS YOUNG,

I USED TO GET SO CONFUSED

AND IT USED TO UPSET ME,

BUT DID YOU KNOW THAT

WHEN YOU GET SOMETHING WRONG

YOUR BRAIN ACTUALLY GROWS?

YEAH, IT'S TRUE.

WHEN I WAS YOUNGER,

I USED TO GET SO DISCOURAGED

WHEN I DIDN'T UNDERSTAND

SOMETHING THE FIRST TIME,

AND NOW THAT I'M AN ADULT,

I'M HERE TO

TELL YOU IT'S A-OKAY.

SO, LET'S GET GOING,

AND DON'T EVER, EVER,

EVER BE AFRAID

TO MAKE A MISTAKE.

TODAY, WE ARE

GOING TO TALK ABOUT

IMPROPER AND MIXED FRACTIONS.

FRACTIONS ARE PART OF

A PIECE OF SOMETHING,

SOMETHING BIGGER.

THOSE PARTS WE CALL EQUAL,

BECAUSE EACH PART

IS THE SAME SIZE

OR WORTH THE SAME AMOUNT.

THOSE EQUAL PARTS

ALL BELONG TO A THING.

WELL, WHAT IS THAT

THING THAT YOU MIGHT ASK?

WELL, ANYTHING THAT

CAN BE DIVIDED

INTO EQUAL PARTS.

THE THING IS WHAT

WE CALL ALL THE PARTS

WHEN THEY'RE PUT TOGETHER,

AND WHAT WE CALL THAT

THING IS ONE WHOLE.

IT WOULD BE LIKE

ONE WHOLE PIZZA.

He shows a prop pizza divided in 4 equal pieces and says WE ALWAYS USE THE PIZZA

TO EXPLAIN FRACTIONS.

EACH PIECE OF MY PIZZA IS EQUAL,

WHICH MEANS THEY

ALL ARE THE SAME SIZE.

WHEN THE PIECES ARE TOGETHER,

IT IS ONE WHOLE PIZZA,

BUT PIZZA ISN'T THE ONLY THING

THAT CAN BE DIVIDED

INTO EQUAL PARTS.

MY COUCH IN

THE BACK OF MY HOUSE.

IT HAS THREE CUSHIONS,

AND EACH ONE OF THOSE

CUSHIONS IS THE SAME SIZE.

WELL, IF I TAKE ONE OF

MY CUSHIONS OFF THE COUCH,

MY COUCH SIMPLY

DOESN'T LOOK COMPLETE.

SO, TODAY, WE'RE NOT ONLY

TALKING ABOUT PROPER FRACTIONS,

BUT PARTS OF THEM

AND MORE THAN ONE WHOLE.

WE CALL THOSE IMPROPER

AND MIXED FRACTIONS.

THOSE FRACTIONS ARE

A BIT MORE COMPLICATED,

BUT HAVE MANY OF

THE SAME CHARACTERISTICS

OF PROPER FRACTIONS.

NOW, LET'S SEND THINGS

OVER TO TEACHER SHAHANA

TO GO OVER THE BASICS

OF IMPROPER FRACTIONS

AND MIXED NUMBERS.

Teacher Shahana stands in front of a big screen.

Teacher Shahana is in her twenties, with above the shoulder straight brown hair. She wears black leggings and a blue Homework Zone T-shirt.

A caption on the screen reads "Improper fractions and mixed numbers."

She says HI, TVOKIDS.

I'M TEACHER SHAHANA.

AND I'M HERE TODAY

TO TALK TO YOU

ABOUT IMPROPER FRACTIONS

AND MIXED NUMBERS.

NOW, BEFORE WE BEGIN,

LET'S REVIEW WHAT A FRACTION IS.

NOW, A FRACTION IS A

PART OF A WHOLE.

SO, FOR EXAMPLE, IF I HAVE

A WHOLE CHOCOLATE BAR

THAT'S DIVIDED INTO

FOUR EQUAL PIECES

AND I EAT ONE PIECE

OUT OF THE FOUR...

THAT WOULD

MEAN THAT I'VE EATEN

ONE FOURTH OR ONE QUARTER

OF THE CHOCOLATE BAR,

AND THAT WOULD BE

MY FRACTION.

NOW, KEEP IN MIND, JUST IF YOU

FORGOT, IN CASE YOU FORGOT,

THE NUMBER AT THE

TOP OF THE FRACTION

IS WHAT WE

CALL THE NUMERATOR,

AND THE NUMBER AT THE BOTTOM

IS CALLED THE DENOMINATOR.

NOW, WHEN THE NUMERATOR IS

SMALLER THAN THE DENOMINATOR,

THAT'S WHAT WE CALL A

PROPER FRACTION.

Now a question appears on screen that reads "Let's say I buy four candy bars to share with my friends."

Pictures of the 4 friends appear with different fractions of the candy bars below.

Shahana says NOW, LET'S SAY I GO OUT AND

I BUY FOUR CHOCOLATE BARS

TO SHARE WITH

MY FRIENDS.

NOW, NOTICE THAT

THE CHOCOLATE BARS

ARE STILL DIVIDED INTO FOUR

EQUAL PIECES EACH.

LET'S SAY THE FIRST FRIEND

EATS ALL OF HIS CHOCOLATE BAR,

BECAUSE HE'S

REALLY HUNGRY.

SO HE'S EATEN FOUR FOURTHS

OF HIS CHOCOLATE BAR

OR FOUR QUARTERS.

THE SECOND PERSON ALSO EATS

THE ENTIRE CHOCOLATE BAR

OR FOUR QUARTERS.

THE THIRD PERSON

DOES THE SAME.

SO THAT'S ANOTHER

FOUR QUARTERS.

BUT I'M NOT

THAT HUNGRY ANYMORE,

SO I EAT ONLY ONE QUARTER

OF MY CHOCOLATE BAR.

NOW, IF WE ADD UP ALL

OF THOSE AMOUNTS...

FOUR PLUS FOUR PLUS FOUR

PLUS ONE MORE QUARTER

GIVES ME A TOTAL

OF 13 QUARTERS.

NOW, THIS FRACTION LOOKS

A LITTLE BIT DIFFERENT

THAN WHAT WE'VE

SEEN BEFORE,

BECAUSE THE

NUMBER AT THE TOP

IS BIGGER THAN THE

NUMBER AT THE BOTTOM,

OR IN OTHER WORDS,

THE NUMERATOR

IS BIGGER THAN

THE DENOMINATOR.

LOOKS A LITTLE

BIT FUNNY,

BUT IT DOES EXIST,

AND IT'S CALLED

AN IMPROPER FRACTION.

NOW, IF WE WANT OUR

IMPROPER FRACTION

TO LOOK A LITTLE

BIT MORE FRIENDLY,

HERE'S WHAT WE

MIGHT DO.

WE'LL GO BACK TO THE

QUESTION THAT WE JUST DID.

Now the screen shows the improper fraction the left and the mixed number to the right.

Shahana says AND WE SAID THAT

THE FIRST THREE FRIENDS

EAT ALL FOUR PIECES OF

THEIR WHOLE CHOCOLATE BAR

AND I ONLY EAT ONE.

SO, WE SAID

THAT ALTOGETHER,

THAT GIVES

US 13 QUARTERS.

OKAY. NOW, IF YOU

LOOK REALLY CLOSELY,

YOU'LL NOTICE THAT

THAT'S THE SAME THING

AS ONE, TWO,

THREE WHOLE

CHOCOLATE BARS

AND ONE QUARTER

OF A CHOCOLATE BAR

OR IN OTHER WORDS,

THREE AND A QUARTER.

SO THEREFORE,

THIS AMOUNT IS EXACTLY

THE SAME THING AS THIS AMOUNT,

AND THEREFORE, WE CAN

CHANGE AN IMPROPER FRACTION

TO A MIXED NUMBER.

NOW, A MIXED NUMBER

IS WHAT WE SEE OVER HERE,

WHICH IS A WHOLE NUMBER WITH

A FRACTION ADDED ONTO IT.

SO, WE CAN CHANGE

AN IMPROPER FRACTION

TO A MIXED NUMBER...

AND THE OTHER

WAY AROUND.

A caption reads "13 quarters is the same as 3 and a quarter."

Shahana says THANKS FOR

LISTENING, TVOKIDS.

I'M TEACHER SHAHANA,

AND NOW, YOU KNOW ALL

ABOUT IMPROPER FRACTIONS

AND MIXED NUMBERS.

The clip ends.

Teacher Steven says THANK YOU, TEACHER SHAHANA.

OH, MY GOODNESS.

ALL THIS TALK ABOUT CHOCOLATE

BARS IS MAKING ME HUNGRY!

SO, WITH ALL THAT IN MIND,

LET'S DO A QUICK

REVIEW OF PROPER FRACTIONS

AND HOW THEY RELATE

TO OUR MIXED NUMBERS

AND IMPROPER FRACTIONS.

He holds up a card with a fraction that reads 4 eights and a graph representing it.

He says THIS IS A PROPER FRACTION,

AND AS

TEACHER SHAHANA TAUGHT US,

THE NUMBER ON THE TOP

IS CALLED THE NUMERATOR.

LET ME HEAR YOU SAY IT.

NUMERATOR.

AND THE NUMBER ON THE BOTTOM

IS CALLED THE DENOMINATOR.

SAY THAT ONE NOW.

DENOMINATOR.

NUMERATOR AND DENOMINATOR.

WE SAY FOUR EIGHTHS

IS A PROPER FRACTION

BECAUSE THE NUMERATOR IS

SMALLER THAN THE DENOMINATOR.

WHAT THIS FRACTION

IS REFERRING TO

IS FOUR OUT OF

EIGHT EQUAL PARTS,

AND JUST LIKE TEACHER SHAHANA,

I HAVE A CHOCOLATE BAR HERE,

AND WE COULD

SAY THAT MAYBE I ATE

FOUR OUT OF EIGHT TOTAL PIECES.

MM-MM! DELICIOUS.

NOW, LET'S HAVE A LOOK AT

THIS FRACTION RIGHT HERE.

He now shows a card with a fraction that reads 1 and one half and says THIS IS WHAT WE

CALL A MIXED NUMBER.

ONE AND ONE-HALF.

WE HAVE THIS BIG NUMBER

RIGHT OVER HERE ON THE SIDE.

THE BIG NUMBER IS

SOMETHING WE CALL A WHOLE.

REMEMBER, JUST LIKE THAT PIZZA,

A WHOLE IS SMALLER PARTS

PUT TOGETHER INTO ONE,

AND IN THIS PARTICULAR CASE,

WE HAVE ONE WHOLE.

IT COULD BE

ONE WHOLE CHOCOLATE BAR,

ONE WHOLE PIZZA,

OR IF YOU'RE AT MY HOUSE,

ONE WHOLE COUCH

IN THE BACK OF THE HOUSE.

NOW, THIS FRACTION ALSO

HAS THIS GUY RIGHT OVER HERE.

THIS IS ONE OVER TWO,

OR WE CALL IT ONE-HALF.

THIS FRACTION IS

ONE AND ONE-HALF,

AND I HAVE ONE WHOLE RIGHT HERE,

AND ONE-HALF ON THE BOTTOM.

IT COULD BE ONE AND HALF

PIZZAS FOR DINNER.

THAT'S A LOT OF PIZZA.

REMEMBER, AS YOU LOOK

AT THIS MIXED NUMBER,

THE BIG NUMBER ALWAYS

MEANS A WHOLE SOMETHING,

AND THIS PROPER

FRACTION ON THE SIDE

ARE PARTS OF THE SAME THING.

MAYBE ONE WHOLE DONUT

AND A HALF OF ANOTHER DONUT.

FRACTIONS,

FRACTIONS ARE ALWAYS DELICIOUS.

He now shows a card with a fraction that reads 12 ninths and says ALRIGHT, THIS LAST ONE IS GOING

TO LOOK A LITTLE BIT FUNNY.

THIS ONE IS CALLED

AN IMPROPER FRACTION.

IN THIS CASE, THE NUMERATOR

ON THE TOP IS BIGGER THAN

THE DENOMINATOR ON THE BOTTOM.

NOW, JUST BECAUSE IT

LOOKS A LITTLE TOP HEAVY,

DOESN'T MEAN IT'S

STILL NOT A FRACTION.

IT STILL DOES ALL THE THINGS

THAT A FRACTION WOULD DO,

IT JUST LOOKS

A LITTLE BIT DIFFERENT.

LET ME PUT IT THIS WAY,

IT WOULD BE LIKE IF I PUT

MY SUNGLASSES ON UPSIDE DOWN.

MY SUNGLASSES LOOK

A LITTLE BIT FUNNY,

BUT THEY'RE STILL SUNGLASSES,

AND THEY STILL DO THE THINGS

THAT SUNGLASSES NEED TO DO.

WELL, THAT'S PRETTY MUCH WHAT

AN IMPROPER FRACTION IS AS WELL,

BUT TO UNDERSTAND

THIS IMPROPER FRACTION,

WE NEED TO MAKE IT

A LITTLE MORE UNDERSTANDABLE,

AND THE WAY WE'RE

GOING TO DO THAT

IS WE'RE GOING TO TURN IT

INTO A MIXED NUMBER.

NOW, THIS MIGHT GET

A LITTLE BIT COMPLICATED,

BUT FOLLOW ALONG,

AND REMEMBER, IF YOU DON'T

GET IT RIGHT THE FIRST TIME,

THAT DOESN'T MEAN

YOU WON'T LEARN IT

AND YOUR BRAIN WILL GROW.

SO, WHAT WE NEED TO DO TO TURN

THIS

INTO A MIXED NUMBER IS

FIGURE OUT HOW MANY TIMES

OUR DENOMINATOR WILL FIT

EQUALLY INTO OUR NUMERATOR.

WELL, IF I LOOK AT

MY NUMBER NINE,

I KNOW THAT IT'S NOT TOO FAR OFF

FROM MY NUMBER TWELVE.

SO, I KNOW THAT MY NUMBER NINE

FITS EQUALLY ONCE

INTO MY NUMBER TWELVE.

NOW, IF I DOUBLE MY NUMBER NINE,

NINE TIMES TWO IS EIGHTEEN,

THAT'S WAY TOO MANY,

SO I KNOW THAT NINE ONLY

GOES INTO TWELVE ONCE.

NOW, THAT ONE IS GOING TO

BECOME OUR WHOLE NUMBER.

THEN WE NEED TO FIGURE OUT

HOW MANY MORE TIMES

WE CAN COUNT BETWEEN

NINE AND TWELVE.

COUNT WITH ME.

TEN, ELEVEN, TWELVE.

SO, THERE ARE THREE NUMBERS

BETWEEN NINE AND TWELVE,

WHICH MEANS THAT

OUR MIXED NUMBER IS

ONE AND THREE NINTHS.

ALWAYS REMEMBER,

THE DENOMINATOR STAYS THE SAME.

REMEMBER, THE DENOMINATOR

IS OUR NUMBER NINE,

AND WHAT DOES IT DO?

IT STAYS THE SAME.

WELL, ONE AND THREE-NINTHS

IS A LOT EASIER TO READ

THAN TWELVE-NINTHS,

IF YOU ASK ME.

NOW, IF WE WANT TO

TURN OUR MIXED NUMBER

BACK INTO AN IMPROPER FRACTION,

THERE'S THREE EASY STEPS.

THE FIRST THING THAT WE WILL DO

IS MULTIPLY OUR DENOMINATOR

BY OUR WHOLE NUMBER.

NINE TIMES ONE.

WELL, NINE TIMES ONE IS NINE.

THEN WE'LL ADD OUR NUMERATOR,

WHICH IS THREE.

SO, NINE PLUS THREE,

WHICH IS TWELVE,

AND IN THIS CASE,

OUR DENOMINATOR STAYS THE SAME!

SO, WE HAVE MADE OUR WAY FROM

AN IMPROPER FRACTION

TO A MIXED NUMBER

AND BACK AGAIN.

NOW, I KNOW THAT WAS

A LOT OF INFORMATION,

BUT THAT'S OKAY!

YOU'VE TOTALLY GOT THIS.

LET'S HAVE A LITTLE BRAIN BREAK,

AND CHECK IN WITH

OUR FRIEND TUMBLEWEED

AS HE MAKES DIFFERENT

COMBINATIONS OF TEN.

An episode of Tumbletown Tales rolls.

(music plays)

A red book with a hamster on the cover appears against a background in which a castle can be seen.

Tumbleweed says TUMBLETOWN TALES!

STARRING ME, TUMBLEWEED.

The red book opens. A popup castle comes up, and inside the castle, Tumbleweed stands in a restaurant.

Tumbleweed says HELLO, I'M

TUMBLEWEED,

AND I'LL BE

YOUR WAITER.

Two bunny rabbits sit at a table.

A white rabbit says YO!

Tumbleweed says NICE HAIR.

THANKS.

The white rabbit says IT'S MY

NEW DO.

SO, WHAT'S ON

THE MENU?

Tumbleweed says WELL, HERE AT THE

10 SEED DINER,

YOU CAN ORDER TEN

SEEDS OF ANY VARIETY,

ALL FOR ONE DIME.

The white rabbit says I'LL HAVE TEN SESAME

SEEDS, PLEASE.

A black rabbit says YOU KNOW WHAT

I'LL HAVE?

The white rabbit says WHAT'S THAT?

The black rabbit says TEN SUNFLOWER

SEEDS, PLEASE.

Tumbleweed says COMING RIGHT UP.

OKAY, BRENT, I

NEED ONE ORDER

OF SESAME AND

ONE ORDER

OF SUNFLOWER.

Brent says TEN SESAME AND

TEN SUNFLOWER

COMING UP, BUDDY.

[bell dings]

THERE YOU GO,

AND ONE FOR YOU.

The black rabbit says MMM, THAT

LOOKS GOOD.

The white rabbit says HEY, THOSE

ARE MINE.

Tumbleweed says WHAT CAN I GET

YOU, TWIGGY?

Twiggy says UH, TEN POPPY

SEEDS, PLEASE.

Tumbleweed says YOU GOT IT!

WHAT ABOUT

YOU, SAL?

Sal says I DON'T KNOW,

TUMBLEWEED.

A DIME FOR

TEN SEEDS?

THAT'S A LOT

OF MONEY.

HOW ABOUT YOU GIVE ME

EMPLOYEE DISCOUNT?

Tumbleweed says ARE YOU KIDDING?!

Sal says I HAD TO TRY.

I WILL HAVE FIVE

SESAME SEEDS,

AND FIVE

PUMPKIN SEEDS.

The white rabbit says HE ORDERED WHAT?!

A customer says IS THAT EVEN AN

OPTION?

Tumbleweed says YOU WANT FIVE

OF ONE KIND,

AND FIVE OF

ANOTHER KIND?

Sal says YES, FIVE

AND FIVE.

THAT IS WHAT

I WANT.

Tumbleweed says I GUESS FIVE

SESAME SEEDS

PLUS FIVE PUMPKIN

SEEDS EQUALS TEN,

SO I GUESS

WE CAN DO THAT.

[everyone chattering]

The white rabbit says I DIDN'T KNOW WE COULD

MIX UP OUR ORDERS.

Tumbleweed says OKAY, BRENT,

TEN POPPY SEEDS.

AND ANOTHER ORDER

IS GOING TO BE

FIVE SESAME AND

FIVE PUMPKIN.

Brent says UHHHH, OKAY, BUDDY.

Tumbleweed says THIS ONE FOR YOU AND

YOUR HALF AND HALF.

Tumbleweed serves the dishes.

Tumbleweed says VOILA, BON APPETIT!

A grey hamster says UH, THREE PUMPKINS

AND SEVEN FLAX FOR ME.

Tumbleweed says UH, THREE PLUS

SEVEN EQUALS TEN.

OKAY.

The white rabbit says I'M STILL HUNGRY.

I WOULD LIKE TWO CANARY

AND EIGHT OAT GROATS.

Tumbleweed looks confused.

Tumbleweed says WAIT, TWO CANARY,

EIGHT OAT GROATS,

THREE PUMPKIN,

SEVEN FLAX.

Bret says SLOW DOWN, BUDDY!

I DIDN'T GET

ALL THAT ORDER.

Tumbleweed says I SAID TWO CANARY,

EIGHT OATS,

THREE PUMPKIN-

A dark hamster eats at a table and says AND DON'T FORGET

THE FLAX.

AND MAKE SURE

THEY'RE ORGANIC;

IT HELPS WITH

HIS DIGESTION.

A white hamster says HEY, FUZZY FACE,

WHAT ABOUT MY ORDER?

The white rabbit says YEAH, WHO'S GONNA

TAKE HIS ORDER?

Tumbleweed says JUST A MINUTE,

PLEASE.

YOU ORDERED

NINE AND ONE,

AND YOU HAD THREE

AND FOUR AND THREE.

JUST A MINUTE,

EVERYONE.

I'LL GET RIGHT

TO YOU.

The gray hamster says I NEED THESE TO

BE ORGANIC.

Tumbleweed says YEAH, I KNOW!

The white hamster says WHAT ABOUT ME

ORDER, FUZZY FACE?

Tumbleweed says JUST A MINUTE,

PLEASE.

COULD YOU REPEAT

YOUR ORDER AGAIN?

A hamster says I'D LIKE TWO

SUNFLOWER, TWO PUMPKIN,

FOUR POPPY AND

TWO FLAX, PLEASE.

The additions appear on the screen.

The white hamster says WHAT ABOUT ME

ORDER, MAN?!

Tumbleweed says OKAY, SOMEBODY WANTS TWO

SUNFLOWER, TWO PUMPKIN,

FOUR POPPY AND

TWO FLAX.

Brent says WAIT, WHAT, NO,

I - WHAT?!

Tumbleweed says NO, IT ADDS

UP TO TEN.

Brent says BUT, NO, WE

CAN'T!

Tumbleweed says WE HAVE TO!

IT'S THE 10 SEED

DINER!

AHHH!!!

[crickets chirping]

Later at night, Tumbleweed and Brent eat seeds from the floor.

Tumbleweed says OKAY, THAT WAS

CRAZY.

WHAT ARE WE

GONNA DO?

Brent says UH, BUDDY, WE

CAN'T KEEP UP

WITH ALL THOSE

ORDERS.

PEOPLE ARE MAKING

THEIR OWN DISHES NOW.

Tumbleweed says MAKING THEIR

OWN DISHES, EH?

BRENT, YOU'RE

A GENIUS!

Brent says HUH?

I AM?

Then, Tumbleweed stands behind the counter.

Tumbleweed says WELCOME TO THE

10 SEED DINER.

NOW, WITH OPTIONAL

SEED BUFFET.

YOUR TOTAL IS

TEN CENTS, PLEASE.

Sal says WHAT, NO DISCOUNT?

Tumbleweed says SAL!

Sal says OH, OKAY.

I'M JUST KIDDING.

HERE IS A DIME.

Tumbleweed says OH OH, THAT'S

ONLY TEN CENTS.

WHERE'S MY TIP?

Sal says NO, YOU DON'T

TIP AT BUFFET.

THERE WAS NO

TABLE SERVICE.

Tumbleweed says THERE WASN'T?

The episode ends.

The TVO Kids logo appears.

Teacher Steven says WOW! THAT IS ONE BUSY HAMSTER.

NOW, CLEARLY WE'RE

ALL NOW EXPERTS ON

IMPROPER FRACTIONS

AND MIXED NUMBERS,

AND IF WE'RE NOT, NOT TO WORRY,

WE ALL LEARN AT OUR OWN PACE,

AND SOMETIMES IT JUST

TAKES A LITTLE MORE PRACTICE.

DON'T FORGET, THAT ALSO MEANS

YOU'RE BRAIN IS GOING TO GROW.

SO, LET'S DO SOME COMPARING OF

IMPROPER FRACTIONS

AND MIXED NUMBERS.

NOW, IT HAS BEEN

AN AWFUL LONG TIME

SINCE I'VE BEEN TO

A PARTY OF ANY KIND,

BUT IF THERE'S ONE THING

I LOVE THE MOST ABOUT A PARTY

OR ANY CELEBRATION, IT'S CAKE.

I ALWAYS THOUGHT THE BEST

PART ABOUT THE PARTY WAS CAKE,

AND ENJOYING IT AT THE PARTY,

AND HOPING THERE'D BE LEFTOVERS,

BECAUSE WE WOULD EAT

THE LEFTOVERS FOR BREAKFAST

THE NEXT DAY.

THAT'S A TRUE STORY.

MY MOM WOULD ALWAYS ORDER A CAKE

THAT WAS JUST A BIT

BIGGER THAN WE NEEDED

SO WE COULD ENJOY

A LITTLE EXTRA FOR OUR FIRST

MEAL OF THE DAY, THE NEXT DAY.

SO, WITH THAT IN MIND,

LET'S DO SOME

VISUALIZING AND COMPARING.

LET'S SAY WE'VE GOT SOME

PARTIES THAT ARE HAPPENING,

AND WE WANT TO

COMPARE HOW MUCH CAKE

THEY'RE GOING TO

HAVE AT THOSE PARTIES.

LET'S LOOK AT PARTY NUMBER ONE.

PARTY NUMBER ONE HAS

TWO AND A HALF CAKES.

SO, THAT MEANS

THAT OUR NUMBER TWO

IS A WHOLE TWO CAKES.

THAT'S OUR WHOLE NUMBER.

THEN THIS NUMBER

OVER HERE IS A HALF.

MAYBE THEY WANT

A HALF CAKE FOR SOME OTHER

GUESTS THAT ARE

MAYBE ARRIVING LATER,

OR MAYBE THEY WANT IT

FOR BREAKFAST THE NEXT DAY.

SO, THEIR CAKES THAT

THEY HAVE LOOK LIKE THIS.

He shows a graph with two whole rectangles and one half.

He says WE HAVE ONE CAKE.

TWO CAKES,

WHICH MAKES OUR TWO WHOLE,

AND OUR HALF RIGHT DOWN

HERE AT THE BOTTOM.

THAT'S AT PARTY NUMBER ONE.

I GUESS THEY'RE GOING

TO HAVE A FEW PEOPLE OVER

IF THEY'RE GOING TO NEED

TWO AND A HALF CAKES.

LET'S HEAD ON OVER

TO PARTY NUMBER TWO.

WELL, PARTY NUMBER TWO HAVE

DECIDED THAT THEY'RE GOING TO

ORDER SEVEN HALVES OF CAKE.

NOW, REMEMBER, THIS IS CALLED A?

IMPROPER FRACTION.

AND OUR IMPROPER FRACTION

MIGHT LOOK A LITTLE CONFUSING,

BUT NOT TO WORRY,

WE'RE GOING TO TURN IT

INTO A MIXED NUMBER

SO IT MAKES A LITTLE MORE SENSE.

SO, LET'S HAVE A LOOK

AT OUR DENOMINATOR,

AND FIGURE OUT HOW MANY TIMES

IT WILL EQUALLY FIT

INTO OUR NUMERATOR.

LET'S COUNT BY TWOS.

TWO, FOUR, SIX.

EIGHT? OH, EIGHT IS

GOING TO BE TOO MANY

BECAUSE EIGHT IS

BIGGER THAN SEVEN.

SO, WE KNOW THAT TWO EQUALLY

FITS INTO SEVEN THREE TIMES.

SO, THREE WILL BE

OUR WHOLE NUMBER.

THEN, WE NEED TO

FIGURE OUT THE DIFFERENCE

BETWEEN THE NUMBER SIX

AND THE NUMBER SEVEN.

IF WE COUNT BETWEEN

SIX AND SEVEN,

IT'S ONE, AND WHAT DO WE SAY

ABOUT OUR DENOMINATOR?

THE DENOMINATOR STAYS THE SAME.

SO, PARTY NUMBER TWO

ARE GOING TO HAVE

ONE, TWO,

THREE WHOLE CAKES,

AND A HALF.

WHO IS GOING TO THAT PARTY?

THREE WHOLE AND ONE HALF.

WELL, I KNOW THAT THEY'VE GOT

MORE THAN PARTY NUMBER ONE,

BECAUSE THEY'VE ONLY

GOT TWO WHOLE CAKES

AND A HALF.

WELL, HANG ON A MINUTE.

IF YOU CAN BELIEVE IT,

THERE'S ACTUALLY THREE PARTIES.

THREE PARTIES!

WHAT A TIME!

SO, LET'S HAVE A LOOK

AT PARTY NUMBER THREE

AND SEE HOW MUCH CAKE

THEY HAVE ORDERED.

MAYBE THAT'LL HELP US DECIDE

WHAT PARTY WE WANT TO GO TO.

PARTY NUMBER THREE HAS

ORDERED FIVE HALVES.

OH, BOY.

HERE'S ANOTHER ONE OF

THOSE IMPROPER FRACTIONS.

SO, FIVE HALVES OF CAKE.

WELL, OUR FIRST STEP

IS GOING TO BE

FIGURING OUT HOW MANY

TIMES OUR DENOMINATOR

WILL FIT INTO OUR NUMERATOR.

COUNT WITH ME BY TWOS.

I KNOW YOU CAN DO IT.

TWO, FOUR.

SI-- OH!

SIX WOULD BE BIGGER THAN FIVE,

WHICH MEANS THAT

TWO EQUALLY FITS

INTO FIVE TWICE.

TWO IS NOW GOING TO

BE OUR WHOLE NUMBER,

WHICH MEANS THEY

HAVE TWO WHOLE CAKES.

NOW, WE HAVE TO FIGURE OUT

WHAT THE DIFFERENCE IS

BETWEEN THE NUMBER FOUR

AND THE NUMBER FIVE,

AND THAT IS GOING TO HELP TO

MAKE UP OUR PROPER FRACTION

THAT GOES WITH OUR WHOLE NUMBER.

SO, TWO TIMES TWO IS FOUR,

WHICH MEANS THAT FOUR TO FIVE

IS JUST ONE,

WHICH MEANS THAT

PARTY NUMBER THREE HAS GOT

ONE, TWO WHOLE

AND ONE HALF CAKES!

WAIT A MINUTE!

THAT MEANS THEY ARE THE SAME

AS PARTY NUMBER ONE!

WELL, I DON'T KNOW ABOUT YOU,

BUT I THINK I'M GOING

TO PARTY NUMBER TWO,

WHERE THEY'VE GOT

THREE AND A HALF CAKES,

AND HOPEFULLY THERE'LL BE

A LITTLE THAT I CAN TAKE

ALONG WITH ME FOR

BREAKFAST THE NEXT DAY.

GREAT JOB COMPARING, EVERYBODY.

NOW, SPEAKING OF CAKE,

THERE'S A YOUNG LADY

NAMED KAKSA'TI:IO,

WHO ENJOYS SOME BIRTHDAY CAKE

ON THIS EPISODE OF

RAVEN'S QUEST.

(music plays)

Clips show a 10 year-old girl with long straight brown hair blowing birthday candles, modeling traditional First Nations clothes, planting seeds, and doing gymnastics.

The narrator says THIS IS KAKSA'TIO.

TODAY'S HER SPECIAL DAY.

Guests cheer and say WOO!

The narrator says SHE'S PROUD TO MODEL

FIRST NATIONS CLOTHING.

SHE'S GOT A GREEN

THUMB FOR GARDENING.

She says AND VOILA.

The narrator says AND SHE'S A WINNING GYMNAST.

READY TO MEET KAKSA'TI:IO?

LET'S GO!

(music plays)

In animation, pictures of several different kids appear hanging on laundry lines. A raven on the lines flies off to the sun and opens his wings as the title of the show appears. It reads "Raven's Quest."

Kaksa'Ti:Io says SHE:KON. HELLO.

I AM KAKSA'TI:IO AND

I AM 10 YEARS OLD.

I AM FROM THE MOHAWK NATION

AND I LIVE IN KANAWÀ:KE WHICH IS

RIGHT NEXT TO MONTREAL.

MY NAME KAKSA'TI:IO MEANS

NICE GIRL OR PRETTY GIRL.

She poses for a photographer.

The photographer says NICE.

Kaksa'Ti:Io says I MODELLED THREE

TIMES BEFORE.

The photographer says YOU'RE GONNA BE ON THE FRONT OF

THE POW-WOW EDITION THIS YEAR BY

THE WAY.

Kaksa'Ti:Io says WHEN I MODEL I FEEL

NERVOUS AND OKAY AT THE SAME

TIME BUT MOST

OF THE TIME I'M NERVOUS.

The photographer says OH MY GOODNESS.

THAT'S AWESOME.

Kaksa'Ti:Io says I AM PROUD TO MODEL

TRADITIONAL CLOTHING AND TO

REPRESENT MY

NATION IN A POSITIVE WAY.

The photographer says THAT LOOKS REALLY GOOD ACTUALLY.

Kaksa'Ti:Io says I LIKE RIBBON DRESSES BECAUSE

THEY'RE REALLY PRETTY AND

THEY'RE COMFORTABLE.

WHEN I WORK WITH DANIEL IT'S

FUNNY BECAUSE HE MAKES UP ALL

THESE JOKES.

A caption reads "Daniel."

Daniel, the photographer, is in his thirties, with short wavy brown hair and a goatee. He wears ochre trousers and a black sweater.

Daniel says DON'T LOOK AT YOUR MOM

SHE DOESN'T KNOW ANYTHING.

NOW YOU CAN'T STOP SMILING.

STOP.

Kaksa'Ti:Io says I THINK DANIEL'S A GREAT

PHOTOGRAPHER.

Daniel says SEE?

WHEN YOU'RE

NATURAL IT'S PERFECT.

YOU DID PRETTY WELL.

SO WE'LL SEE YOU NEXT TIME.

They do a cool handshake.

Kaksa'Ti:Io says GUYS HOW TO SAY SMILE IN MY

LANGUAGE.

SAIÉHSHON.

SAIÉHSHON.

SMILE.

WHEN YOU SMILE IT SHOWS

THAT YOU'RE A GREAT PERSON.

WELCOME TO MY HOUSE.

I'M GOING TO BE

SHOWING YOU GUYS AROUND.

She points at a pre-teen brown haired girl and says THIS IS MY SISTER

KAKSATAHNO:RON.

She points at a blond woman in her thirties and says THIS IS MY ISTA WHICH

MEANS MOM IN MY LANGUAGE.

HEY GUYS.

THIS IS MY ROOM AND I'M

GONNA SHOW YOU GUYS AROUND.

SO OVER HERE ON THE RIGHT IS

MY CLOSET AND I HAVE MY RIBBON

SKIRT OR RIBBON DRESS.

I LOVE THE COLOUR PURPLE AND

GOLD AND IT IS A TRADITIONAL

OUTFIT I WEAR TO SCHOOL AND TO

LIKE SOCIALS AND ALL KINDS OF

THINGS LIKE THAT.

THIS IS MY DREAM-CATCHER

I GOT WHEN I WAS 6.

I GOT IT AT THE POW-WOW BECAUSE

I WAS SCARED OF HAVING BAD

DREAMS AND I DIDN'T

WANT TO HAVE ANYMORE.

THESE ARE MY MEDALS.

I HAVE 5 RIGHT HERE.

4 OF THEM WERE FROM GYMNASTICS.

THIS ONE'S MY FAVOURITE MEDAL

BECAUSE IT LOOKS LIKE ONE FROM

THE OLYMPICS AND

IT'S REALLY HEAVY.

THIS IS MY TEDDY BEAR I

HAD SINCE I WAS 18 MONTHS.

I NAMED IT LADY.

IT'S BEEN WASHED AND

SEWED SO MANY TIMES.

IT'S MY FAVOURITE.

MY MOM WENT TO MIAMI

RECENTLY AND SHE GOT ME A SHELL.

I THOUGHT IT WAS REALLY COOL.

She points at a decorative letter K and says AND THEN HERE I HAVE MY K.

IT STANDS FOR MY NAME.

AND THAT'S THE END

OF MY ROOM TOUR.

HOPEFULLY YOU GUYS ENJOYED.

TODAY'S A REALLY SPECIAL DAY

BECAUSE IT'S MY BIRTHDAY AND

THESE ARE MY FRIENDS.

A brown haired girl says I'M TIOK.

A blond girl says I'M TYLEE.

Another brown haired girl says I'M MYLA.

Kaksa'Ti:Io says MY AUNTIE IS

THROWING A PARTY FOR ME.

LET'S GO INSIDE

AND CHECK IT OUT.

THIS IS MY BABY

BROTHER RAHWATSIRAHNÍ:RATS.

OOH.

THEY BROUGHT US SOME PIZZA.

MMM.

THIS IS MY AUNTIE VANESSA.

Vanessa says HI.

Kaksa'Ti:Io says MY FAVOURITE PIZZA

IS CHEESE PIZZA.

I USED TO TAKE OFF THE CHEESE

TO JUST EAT THE BREAD AND THE

SAUCE.

SO IN MY FAMILY WE SING

HAPPY BIRTHDAY IN MOHAWK.

Her mom brings a cake to the table and all the guests sing.

(SINGING HAPPY

BIRTHDAY IN MOHAWK)

Kaksa'Ti:Io blows the candles and says I REALLY LIKE MY BIRTHDAY CAKE

BECAUSE IT'S A PRETTY COLOUR AND

IT'S VANILLA.

ME AND TYLEE, WE'VE BEEN

FRIENDS SINCE WE WERE BABIES.

I REALLY LIKE MY FRIENDS BECAUSE

THEY'RE FUNNY, THEY'RE NICE AND

THEY ALWAYS MAKE ME LAUGH.

Tiok says I WAS LIKE WHAT IF YOU HAVE AN

UGLY BIRTHDAY CAKE AND TYLEE WAS

LIKE WHAT IF THERE WAS A

DANCING WORM ON YOUR CAKE?

Kaksa'Ti:Io says GLORIOUS.

The girls say CHEERS.

Kaksa'Ti:Io says SO TODAY WE'RE AT THE COMMUNITY

GARDEN AND I'M GOING TO BE

TEACHING YOU GUYS HOW TO PLANT.

I'M GOING TO BE

PLANTING SOME CORN.

RIGHT NOW I'M BREAKING UP THE

DIRT SO I HAVE A NICE SPOT TO

PUT THE SEEDS.

YOU TAKE A CORN FROM

LAST YEAR AND YOU DRY IT.

YOU CAN PICK OFF THE LITTLE

PIECES OF CORN AND THESE ARE THE

SEEDS.

YOU CAN ALSO MAKE CORN HUSK

DOLLS WITH CORN AND YOU CAN ALSO

BRAID CORN.

NO WE'RE GONNA PLANT AND

I'M GONNA USE THREE SEEDS.

YOU HAVE TO PUT THE SEEDS IN THE

BOWL WITH WATER AND SOAK IT FOR

THREE DAYS.

THE CORN WE'RE PLANTING

TODAY IT IS SWEET YELLOW CORN.

AND THE LAST STEP

IS TO WATER IT.

SO, IN ABOUT 8 TO 10 WEEKS, IT'S

GOING TO GROW UP TO 6 FEET TALL.

TALLER THAN I AM RIGHT NOW.

I LIKE PLANTING BECAUSE IT KEEPS

YOU GROUNDED TO MOTHER EARTH AND

IT'S REALLY FUN TO

PLANT AND GET DIRTY.

AND VOILA.

At the gym, Kaksa'Ti:Io says THIS IS MY GYMNASTICS TEAM.

I WAS 3 YEARS OLD WHEN

I STARTED GYMNASTICS.

WHEN I STARTED

COMPETING I WAS 8 YEARS OLD.

I LIKE GYMNASTICS

BECAUSE IT'S FUN.

YOU LEARN NEW THINGS AND YOU CAN

GROW FROM JUST DOING THAT SPORT.

WHEN I COMPETE I'M SCARED

AND NERVOUS BUT ALSO EXCITED.

TONIGHT I'M NOT DOING A ROUTINE.

I'M JUST PRACTISING MY STUFF.

ON BEAM I HAVE TO WORK ON BACK

HAND SPRINGS, ROUND-OFFS AND

FRONT WALK OVERS FOR MY

NEXT YEAR'S COMPETITIONS.

ON BARS I AM BEST

AT HAND STANDS.

I REALLY LIKE MY COACHES BECAUSE

THEY HELP ME WITH ALL THE MOVES

AND IF I'M SCARED THEY WILL SPOT

ME THE FIRST FEW AND THEN AFTER

THAT THEY WILL LET ME GO BY

MYSELF BUT STILL BE THERE JUST

IN CASE.

IN THE FUTURE I WOULD LIKE TO GO

TO THE OLYMPICS BUT IF I DON'T

MAKE IT THAT FAR I'LL

PROBABLY BE A DANCER OR COACH AT

GYMNASTICS.

THANKS FOR WATCHING.

O:NEN.

All the team say GOODBYE.

Music plays as the end credits roll.

Logo: TVO Kids.

Logo: Apartment 11 Productions.

Copyright 2019, Florence Productions Inc.

Teacher Steven says THANKS, KAKSA'TI:IO,

AND HAPPY BELATED BIRTHDAY.

WELL, WHEN IT'S COLD OUTSIDE

AND I'VE GOT TO DO THE LAUNDRY,

I USUALLY USE

THE DRYER INSIDE MY HOUSE,

BUT WHEN IT'S NICE OUTSIDE

AND THERE'S A LOVELY BREEZE,

I LIKE TO USE MY CLOTHES LINE.

WHEN I WAS GROWING UP,

WE HAD A CLOTHESLINE IN

THE BACK OF OUR HOUSE

THAT CONNECTED TO FOUR

OTHER CLOTHESLINES ON

A LARGE POLE IN OUR BACKYARD.

ON A NICE DAY, WHEN EVERYBODY

WOULD BE DOING THEIR LAUNDRY,

AND THE WIND WOULD BLOW,

IT LOOKED LIKE A COLOURFUL

PINWHEEL IN ALL

OF OUR BACKYARDS.

WELL, FOR YOU TODAY

I HAVE BROUGHT

MY CLOTHESLINE INSIDE,

AND ON ONE END

I HAVE THE WORD "LEAST,"

AND THEN ON THE OTHER END

I HAVE THE WORD "GREATEST."

TODAY, YOU'RE GOING TO

HELP ME DO SOME LAUNDRY

BY ORDERING SOME FRACTIONS.

NOW, I HAVE A VARIETY OF

DIFFERENT FRACTIONS TODAY

TO PUT ON MY CLOTHESLINE.

SO, LET'S HAVE A LOOK.

THE FIRST FRACTION THAT I HAVE

IS ONE OVER TWO.

WE CALL THIS FRACTION

ONE-HALF AS WELL.

THE NUMERATOR IS A ONE,

THE DENOMINATOR IS A TWO.

WHICH MEANS THAT ONE HALF IS

ONE HALF OF ONE WHOLE.

SO, THIS FRACTION IS ACTUALLY

KIND OF SMALL.

SO, I THINK I'M GOING TO

START BY PUTTING THIS FRACTION

CLOSER TO THE LEAST END

OF MY DRYER RACK HERE.

ALRIGHT, ON WITH OUR CHORES.

MY NEXT FRACTION,

IT LOOKS A LOT BIGGER.

THIS FRACTION IS

TWO AND THREE-QUARTERS.

I HAVE TWO WHOLE,

AND THREE OVER FOUR.

NOW, THREE-QUARTERS

IS VERY CLOSE

TO ONE WHOLE,

BUT IF WE WERE TO ADD

ANOTHER WHOLE THAT MUST MEAN

THAT MY TWO AND THREE-QUARTERS

IS PRETTY BIG,

BUT I'M NOT QUITE SURE

HOW MUCH MORE WE'VE GOT

IN OUR LAUNDRY PILE TODAY.

SO, I'M GOING TO

PUT IT CLOSER TO

THE GREATER END

OF OUR CLOTHESLINE.

TWO WHOLE AND THREE-QUARTERS.

OH, OUR LAUNDRY

IS STARTING TO DRY.

HOW SATISFYING.

ALRIGHT, NOW, OUR NEXT NUMBER

IS PRETTY SIMPLE.

THIS NUMBER IS

ONE WHOLE.

WELL, THIS ISN'T

A FRACTION AT ALL,

BUT WE SHOULD PROBABLY

PUT IT ON THE LINE

SO WE'RE ABLE TO

ORDER OUR SHIRTS

OR OUR FRACTIONS EFFECTIVELY.

SO, ONE WHOLE, WELL,

IT'S DEFINITELY

BIGGER THAN ONE HALF.

IN FACT, ONE HALF IS SIMPLE

HALF OF A WHOLE.

SO, MAYBE I'LL PUT IT

DOWN NEAR THIS END,

THE LEAST END,

WITH OUR SMALLER FRACTIONS,

AND IF I HAVE TO MOVE IT,

THEN I'LL MOVE IT MOVE IT

IN THE OTHER DIRECTION.

ONE WHOLE.

TERRIFIC.

OH, NO!

SIX QUARTERS

OR SIX OVER FOUR.

HOW ARE WE GOING TO ARRANGE

THIS FRACTION ON

OUR CLOTHES LINE?

HM.

WE SHOULD PROBABLY CONVERT THIS

IMPROPER FRACTION

INTO A MIXED NUMBER.

NOW, TO START, WHAT DO WE DO

WITH OUR DENOMINATOR?

IF YOU SAID, "FIGURE OUT HOW

MANY TIMES WE CAN

FIT IT IN OUR NUMERATOR,"

YOU'D BE CORRECT.

SO, FOUR GOES INTO SIX

HOW MANY TIMES?

FOUR. EIGHT.

EIGHT IS WAY TOO BIG,

WHICH MEANS THAT FOUR

ONLY GOES INTO SIX

ONE WHOLE TIME.

NOW, WE NEED TO FIGURE

OUT THE DIFFERENCE BETWEEN

THE NUMBER FOUR

AND THE NUMBER SIX.

COUNT WITH ME.

FIVE.

SIX.

OH!

IT'S ONLY TWO,

WHICH MEANS TWO IS GOING TO

BECOME THE NUMERATOR IN

OUR NEW PROPER FRACTION

THAT GOES WITH OUR WHOLE NUMBER,

AND REMEMBER,

THE DENOMINATOR DOES WHAT?

THE DENOMINATOR STAYS THE SAME,

WHICH MEANS SIX OVER FOUR

IS EQUAL TO ONE WHOLE

AND TWO OVER FOUR.

WELL, THAT IS A LOT

EASIER TO UNDERSTAND.

SO, MAYBE, I'LL PUT IT

JUST OVER FROM ONE WHOLE,

BECAUSE IT IS DEFINITELY SMALLER

THAN TWO AND THREE-QUARTERS,

AND WE KNOW THAT

BECAUSE ONE WHOLE

IS SMALLER THAN TWO WHOLE.

LET'S PUT IT

RIGHT HERE IN FRONT.

He puts it in the middle of the line and says EXCELLENT.

HM.

WE HAVE ANOTHER

SMALLER FRACTION,

AND WE MIGHT HAVE TO MOVE A FEW

THINGS ON OUR LAUNDRY LINE,

BECAUSE OUR NEXT FRACTION

IS THREE-QUARTERS.

THREE OVER FOUR.

THIS IS A PROPER FRACTION

BECAUSE THE NUMERATOR IS SMALLER

THAN THE DENOMINATOR,

BUT IT'S DEFINITELY

SMALLER THAN ONE WHOLE.

HM.

IS IT BIGGER THAN ONE HALF?

YOU KNOW, I WAS WATCHING

AN EPISODE OF POWER HOUR

WHERE THEY TALKED ABOUT MONEY.

NOW, THIS GUY

TALKING ABOUT MONEY

SURE SEEMED LIKE HE KNEW

WHAT HE WAS GETTING AT,

BECAUSE HE SAID

THAT TWO QUARTERS

WAS THE SAME AS ONE HALF.

SO, THAT MEANS THREE QUARTERS

MUST BE SLIGHTLY

BIGGER THAN ONE HALF.

I WOULD DEFINITELY

CHECK THAT EPISODE OUT

IF YOU HAVE THE TIME.

SO, OUR THREE-QUARTERS

IS GOING TO GO

JUST AFTER ONE-HALF,

WHICH MEANS I'M GOING TO MOVE

THESE ONES OVER JUST A TINY BIT,

TO MAKE ROOM FOR OUR NEW

LAUNDRY ON THE LINE.

He puts 3 quarters between 1 half and 1 whole.

He says TERRIFIC!

WELL, WE'VE GOT ONE MORE SHIRT

AT THE BOTTOM OF THE PILE.

I HOPE I GET MY ALLOWANCE

FOR HANGING ALL THESE SHIRTS UP

ON THE LINE.

THIS FRACTION HAS A THREE

FOR THE WHOLE NUMBER.

NOW, ONCE AGAIN,

WE CALL THIS A MIXED NUMBER

BECAUSE IT HAS A WHOLE NUMBER

AND A PROPER FRACTION.

THREE WHOLE AND ONE OVER FOUR

OR ONE-QUARTER.

THIS MEANS THAT THERE

ARE FOUR EQUAL PARTS,

AND ONE OUT OF

THOSE FOUR EQUAL PARTS

IS SHOWN IN THIS FRACTION.

WELL, THE LAST FRACTION

THAT WE HAVE ON THE END,

CLOSEST TO GREATER,

BEGINS WITH TWO,

OUR WHOLE NUMBER

IN OUR MIXED NUMBER IS TWO.

I DON'T KNOW ABOUT YOU,

BUT I'M PRETTY SURE

THAT THREE WHOLE

IS GREATER THAN TWO WHOLE.

SO, I THINK WE'LL PUT IT AT

THE VERY END OF OUR CLOTHESLINE.

OUTSTANDING!

WE HAVE ORDERED ALL OF OUR

FRACTIONS FROM

LEAST TO GREATEST,

AND THANK YOU

SO MUCH FOR YOUR HELP!

GOT IT?

GREAT!

I'M GOING TO LET THESE

FRACTIONS DRY ON THE LINE

AND GO EXPLORING FOR FRACTIONS,

AND SPEAKING OF

EVERY DAY FRACTIONS,

PLEASE ENJOY

THE MUSICAL STYLINGS OF

PROFESSOR P,

AND THE BEAUTIFUL SINGING VOICE

OF LADY VOCAB.

TAKE IT AWAY!

The show rolls.

Professor P says I'M YOUR HUMBLE HOST

PROFESSOR P,

AND NOW GET READY FOR

THE LADY OF LYRICS,

LADY VOCAB!

Lady Vocab says THANKS PROFESSOR P,

ARE YOU READY TO

DELVE INTO THE

DICTIONARY?

Professor P says SURE WE ARE,

TODAY'S WORD IS

FRACTION, WHICH IS

A MATHEMATICAL TERM.

AND NOUN THAT MEANS

THAT A PART OF A

PIECE OF THE WHOLE,

AS IN IF WE DIVIDE

UP DESSERT, WE EACH GET

A FRACTION OF THE PIE.

Lady Vocab says OOH, OR AS IN UM, IF

WE DIVIDE UP THE PIE

INTO FOUR EQUAL PARTS,

WE EACH GET A QUARTER?

Professor P says UM HM, YES, YES,

THAT'S A LOT OF PIE

BUT YES MY LADY

Lady Vocab takes of her glasses and says THAT REMINDS ME PROFESSOR,

WHEN I WAS JUST A YOUNG

GIRL, GROWING UP,

DREAMING OF BECOMING

A STAR, I WAS PLAYING

IN THE SCHOOLYARD,

AND THE SCHOOL BULLY

TRIED TO STEAL MY

WHOLE CHOCOLATE BAR.

Professor P says HEY! HAD HE NEVER

HEARD OF SHARING?

Lady Vocab says APPARENTLY NOT, SO

I SAID IF WE SPLIT

IT IN TWO, WE EACH

GET HALF OF THE

CHOCOLATE BAR!

Professor P says THAT SEEMS LOGICAL,

DID IT WORK?

Lady Vocab says NO! SO I SAID, HEY

LOOK OVER THERE,

THERE'S A FLYING

DICTIONARY, AND THEN

I TOOK BACK MY WHOLE

CHOCOLATE BAR.

Professor P says HMM

Lady Vocab says BUT I STILL GAVE

HIM A QUARTER

Professor P says WELL I HOPE HE LEARNED

HIS LESSON AND HIS FRACTIONS.

Lady Vocab says ME TOO!

HIT IT!

Lady Vocab dances and sings DO THE FRACTION DANCE

DO THE FRACTION DANCE

HERE WE GO

IT'S ABOUT SHARING

WITH YOUR FRIEND

Professor P sings FRACTIONS MAKES

SHARING SO FUN,

ALL YOU HAVE TO DO IS

DIVIDE UP A WHOLE ONE

FRACTIONS CAN BE

SO BREEZY,

Lady Vocab sings A PIECE OF PIE

OR YOUR TIME

Professor P sings WITH FRACTIONS,

WONDERFUL THINGS

TVO KIDS, I SEE THAT

THE SUM OF THE PARTS

DO MAKE UP THE WHOLE

SLICE UP SOME

FRACTIONS TODAY,

WE'LL SEE YOU

NEXT TIME.

Lady Vocab sings FRACTIONS, ALL YOU

DO IS DIVIDE.

FRACTIONS, FRACTIONS,

FRACTIONS, FRACTIONS.

The show ends.

Teacher Steven says WOW, THAT LADY VOCAB

HAS GOT SOME KIND OF LOOK.

WELL, I HOPE YOU'VE

ENJOYED OUR DEEP DIVE

INTO THE WORLD OF

IMPROPER FRACTIONS

AND MIXED NUMBERS.

AND THE NEXT TIME YOU

ORDER A COUPLE OF PIZZAS

AND BEFORE YOU DIVIDE THEM UP,

HAVE A QUICK LOOK

BEFORE AND AFTER.

HOW MANY WHOLE PIZZAS

DO YOU HAVE LEFT?

THAT WOULD BE A PIZZA

WITH NO PIECES GONE!

MAYBE YOU HAVE

ONE-HALF A PIZZA LEFT.

MAYBE YOU HAVE

LESS THAN A WHOLE,

OR MAYBE TWO-THIRDS,

OR MAYBE ONE-QUARTER,

OR, IF YOU'RE LIKE MY HOUSE,

THE ONLY THING

YOU'RE GOING TO HAVE

IS A BUNCH OF EMPTY BOXES.

SO, FOR TVOKIDS

AND THE

POWER HOUR OF LEARNING,

I'M TEACHER STEVEN,

AND I HOPE TO SEE

YOU AGAIN REAL SOON.

A caption reads "Bonus material."

Another episode of "Tumbletown Tales" rolls.

In his castle, Tumbleweed speaks on the phone with his friend Brent.

Tumbleweed says SO, YOU'RE PAINTING

IT A NEW COLOUR?

REALLY?

SO, THE DINER'S GOING

TO BE CLOSED ALL WEEK?

Brent says YOU GOT IT, BUDDY.

THEY'RE STARTING

PAINTING TOMORROW.

THE PLACE IS GOING

TO BE CLOSED ALL WEEK.

Tumbleweed says OKAY, THANKS FOR CALLING, BRENT.

BYE.

A WHOLE WEEK OFF.

WHAT SHOULD I DO?

OH, I COULD ENJOY

THE WARM WEATHER

AND SOAK IN SOME RAYS.

OR MAYBE I SHOULD

CATCH UP ON MY PVR.

OR I COULD PAINT

THAT PORTRAIT OF TWIGGY

I'VE BEEN PROMISING HIM.

NO, THAT WOULD TAKE WEEKS.

IT WOULD HAVE TO BE PERFECT.

THIS MAGAZINE,

IT GIVES ME AN IDEA.

I CAN EXPAND MY CASTLE.

I'LL BUILD ANOTHER ROOM

AND THEN MAYBE THEY'LL PUT

A PICTURE OF IT IN THE MAGAZINE.

(LAUGHING)

He gets on his boat and says I'M GONNA BE FAMOUS!

YOU HEAR THAT, WORLD? FAMOUS!

Now he hits the road in his red car and says DRIVING IN MY CAR

GONNA EXPAND MY CASTLE

AND BECOME A STAR

CASTLE DIGEST MAGAZINE!

AH, CASTLE DEPOT.

THEY'LL HAVE WHAT I NEED.

He pulls up at Castle Depot and says HELLO. 900 BRICKS, PLEASE.

He puts the bricks on a trolley and drives.

Tumbleweed hits the road and sings a song that goes GONNA TAKE MY BRICKS HOME

AND BUILD A NEW ROOM

EVEN THOUGH I DON'T

KNOW WHAT I'M DOING

I WILL HAVE TO FIGURE

THAT OUT SOON

CHA CHA CHA

(PANTING)

At the docks, Tumbleweed pants and says OKAY, I FINALLY

UNLOADED ALL THESE BRICKS.

THAT WAS HARD.

UM, THERE ARE WAY TOO MANY

BRICKS TO CARRY IN MY BOAT.

UH, HELLO?

I'D LIKE TO HIRE THE FERRY,

PLEASE.

A white rodent says WHOA, THERE, FUZZY FACE.

YOU TRYIN' TO SINK ME BOAT?

I CAN ONLY TAKE

400 BRICKS PER TRIP.

SO, HOW MANY TRIPS DO YOU NEED?

Tumbleweed says UM, I HAVE 900 BRICKS HERE,

SO LET ME THINK.

YOU DON'T HAPPEN TO HAVE

A CALCULATOR I CAN BORROW,

BY ANY CHANCE?

The rodent says YEAH, MAN, I THINK YOU BETTER.

Tumbleweed says OKAY, LET ME SEE.

I NEED TO FIGURE THIS OUT.

I HAVE 900 BRICKS.

BUT I NEED TO DIVIDE THAT

INTO PILES OF 400 BRICKS.

SO, 900 DIVIDED BY 400 IS

TWO WITH SOME LEFT OVER.

(LAUGHING)

Tumbleweed says I WILL NEED TWO TRIPS, PLEASE.

SO, WHAT'S THE MAXIMUM NUMBER

BRICKS YOU'VE EVER TAKEN?

The rodent says 400.

Tumbleweed says OH, LIKE 400 IS

THE MOST YOU CAN TAKE?

The rodent says YEAH.

The rodent says I GUESS THAT'S WHY

WE WERE TALKING. OKAY.

WELL, THIS IS THE FIRST TRIP,

SO THAT'S...

OKAY, WATCH OUT,

REMAINDER OF BRICKS.

WE ARE COMING TO GET YOU.

The rodent says NO, MAN,

YOU CAN'T TAKE ALL THE BRICKS.

I TOLD YOU THIS...

Tumbleweed says REMAINDER OF BRICKS.

(LAUGHING)

Tumbleweed says LET'S GO! AH!

OH, I CAN'T WAIT TO BUILD

THIS ADDITION TO MY CASTLE.

I HOPE I DIDN'T

LEAVE ANYTHING BEHIND.

The rodent says YOU DID, MAN! DIDN'T YOU SEE?

YOU LEFT STUFF BEHIND!

Tumbleweed says WHAT, LIKE MY CAR?

The rodent says NOT YOUR CAR, FUZZY FACE.

Tumbleweed says WELL, THANK YOU SO MUCH.

WAIT, HAVE WE UNLOADED THEM ALL?

IT DOESN'T LOOK

LIKE ALL MY BRICKS YET.

The rodent says WELL, MAN.

YOU TOLD ME YOU

NEEDED TWO TRIPS.

THAT'S TWO TIMES 400.

THAT EQUAL 800 BRICKS.

Tumbleweed says BUT I HAD 900 BRICKS!

The rodent says IF YOU WANTED THEM ALL ACROSS,

YOU WOULD HAVE

NEEDED THREE TRIPS.

Tumbleweed says OH, NO!

I IGNORED THE DECIMAL

POINT TWO FIVE!

The rodent says WELL, I GOT TA GO, FUZZY FACE.

I'M LATE FOR ME

NEXT FERRY PICKUP.

Tumbleweed says NO.

The rodent says GOOD LUCK WITH

YOUR CONSTRUCTION.

Tumbleweed says DON'T LEAVE ME!

The rodent says I EXPECT AN INVITATION

TO THE CASTLE WARMING PARTY.

Tumbleweed says WAIT, I HAVE MORE BRICKS!

I DON'T HAVE ALL MY BRICKS!

HE LEFT.

Later, Tumbleweed builds an incomplete brick wall and says HUH.

He clears his throat and says OKAY, SO IT'S NOT PERFECT.

I GUESS THIS WON'T EXACTLY GET

ME INTO CASTLE DIGEST MAGAZINE.

'CAUSE YOU HAVE TO HAVE

A WHOLE CASTLE WALL,

AND I CLEARLY DON'T

BECAUSE I HAVE THIS BIG HOLE,

BUT I CAN SEE LOTS OF

THINGS THROUGH THE HOLE!

I CAN SEE CHINCHILLA!

HEY, CHINCHILLA, LOOK!

I HAVE A HOLE IN MY WALL!

HEY, CHINCHILLA, OVER HERE!

Chinchilla says CHINCHILLA?

Tumbleweed says ISN'T IT NICE?

Chinchilla says CHINCHILLA!

Now an episode of TVO Kids Homework Zone rolls.

Teacher Troy is in his thirties, bald and with a shadow of a beard. He wears a blue Homework Help T-shirt.

He says HEY, TVOKIDS!

THIS IS TEACHER TROY,

AND WE'RE GOING TO BE

TALKING ABOUT FRACTIONS.

FRACTIONS TALK ABOUT DIVISION.

AND IT'S REALLY IMPORTANT TO

REMEMBER THAT THE DENOMINATOR

TALKS ABOUT HOW MANY EQUAL PARTS

THE WHOLE IS DIVIDED INTO.

WHEN WE TALK

ABOUT THE NUMERATOR,

IT TELLS US HOW MANY

EQUAL PARTS ARE REPRESENTED.

NOW, WHAT ENDS UP HAPPENING

OFTENTIMES WHEN WE'RE DEALING

WITH FRACTIONS IS

WE HAVE TO COMPARE.

WHEN YOU COMPARE, YOU'RE LOOKING

AT TWO OR MORE THINGS

AND HOW DO THEY LOOK

AGAINST EACH OTHER.

WHICH ONE'S LARGER,

WHICH ONE'S SMALLER.

SO, WHAT WE CAN DO IS I'M GOING

TO SHOW YOU SOME TRICKS TODAY

ON HOW WE CAN HELP YOU,

WHAT WILL HELP YOU,

ON COMPARING FRACTIONS.

He shows 4 wooden hexagon divided in different ways. A whole yellow hexagon, a red hexagon divided in two equal parts, a blue one divided in 3 equal parts, and a green one divided in 6.

He says SO, WE START OFF HERE AT

THE BOARD JUST TO RECAP.

IF YOU LOOK AT OUR HEXAGON,

OUR HEXAGON IN THIS CASE,

THE DENOMINATOR IS NONE,

BECAUSE THE WHOLE IS DIVIDED

INTO ONE EQUAL PART.

IN THIS CASE, THE DENOMINATOR

IS TWO BECAUSE THE WHOLE IS

DIVIDED IN TWO EQUAL PARTS.

IN THIS CASE

THE DENOMINATOR IS THREE,

'CAUSE THE WHOLE IS

DIVIDED IN THREE EQUAL PARTS.

AND OF COURSE HERE

OUR DENOMINATOR IS SIX,

'CAUSE OUR WHOLE IS

DIVIDED INTO SIX EQUAL PARTS.

SO, AS WE KNOW,

AS THE DENOMINATOR GETS LARGER,

THE ACTUAL PIECES GET SMALLER,

AND THAT'S OFTENTIMES

A LITTLE CONFUSING,

BECAUSE YOU THINK

A LARGER NUMBER MEANS

SOMETHING THAT'S BIGGER.

ALL IT MEANS IS THERE'S

MORE SPLITS OR MORE SLICES.

SO, IF WE LOOK AT THE BOARD,

WE SEE WE HAVE THREE

FRACTIONS HERE THAT

WE WANT TO COMPARE.

NOW, IF WE LOOK AT IT,

WE HAVE TWO-THIRDS,

ONE-HALF, AND FIVE-SIXTHS.

SO, IN LOOKING AT THAT,

WHICH ONE IS SMALLER,

AND WHAT ORDER

WOULD YOU PUT THEM IN?

WHICH IS SMALLEST TO LARGEST.

SO, WHAT WE'LL DO IS

WE'LL GO BACK TO OUR MODELS,

AND WE'LL LOOK AT IT,

AND LET'S FORM IT.

SO, WE'LL START OFF

WITH THE TWO-THIRDS.

SO, TWO-THIRDS,

WE LOOK AT THE BLUE,

BECAUSE THE WHOLE IS

DIVIDED INTO THREE EQUAL PARTS,

MEANING OUR

DENOMINATOR IS THREE.

SO, I TAKE TWO OF THEM,

'CAUSE TWO ARE REPRESENTED.

SO, THAT RIGHT THERE GIVES

US A REPRESENTATION OF WHAT

TWO-THIRDS WOULD BE.

THEN WE LOOK AT ONE-HALF,

WHICH IS RIGHT HERE.

A WHOLE IS DIVIDED

IN TWO EQUAL PARTS.

ONE IS REPRESENTED.

SO, WE HAVE THAT LEFTOVER,

AND WE LOOK AT FIVE-SIXTHS.

SO, I TAKE THE SIXTHS.

I TAKE FIVE OF THEM.

THE WHOLE IS DIVIDED

INTO SIX EQUAL PARTS.

FIVE IS REPRESENTED.

AND NOW WHAT WE DO

IS WE COMPARE THEM.

SO, IF WE LOOK AT IT... ..I CAN ACTUALLY PLACE

ONE-HALF OVER

THE TWO-THIRDS

AND WE KNOW THAT ALL OF

A SUDDEN NOW THE TWO-THIRDS

MUST BE LARGER THAN ONE HALF.

SO, THAT WOULD MEAN

THAT ONE-HALF IS SMALLER.

IF WE LOOK AT IT, WE KNOW THAT

ONE, TWO, THREE, FOUR, FIVE.

THIS TWO-THIRDS ACTUALLY FITS... ..EQUALLY OVER

AND THERE'S ONE LEFT OVER.

AND LOOK AT THAT.

He places the red half on top of the blue and green parts and says SO, ALL OF A SUDDEN,

YOU CAN SEE,

STACKED ON TOP OF EACH OTHER,

WHICH IS SMALLEST TO LARGEST.

SO, IF WE LOOK AT IT,

WE KNOW THAT ONE-HALF,

THEN TWO-THIRDS,

THEN FIVE-SIXTHS.

SO, WHAT'S IMPORTANT HERE,

TVOKIDS, IS WE HAVE TO

REALLY LOOK AT THE PIECES,

AND ONCE YOU LOOK AT THE PIECES,

THAT'S WHERE THE PUZZLE'S

GOING TO GET SOLVED,

AND THEN COMPARING THAT

AND LOOKING AT IT,

WE ALSO SEE THAT ALL BECAUSE

A NUMBER IS LARGER,

AS IN WITH FIVE-SIXTHS,

IT DOESN'T MEAN THAT IT'S

ALWAYS GOING TO BE BIGGER,

BECAUSE RIGHT HERE WE KNOW

THAT TWO-THIRDS IS LARGER THAN

ONE-HALF, AND TWO-THIRDS

IS SMALLER THAN FIVE-SIXTHS.

SO, WE JUST HAVE TO LOOK AT IT,

PLAY WITH IT,

AND SEE HOW IT WORKS.

I'M TEACHER TROY,

AND I HOPE THAT HELPS.

A caption reads "TVO Kids would like to thank all the teachers involved in the Power Hour of Learning as they continue to teach the children of Ontario from their homes."

Copyright 2021, The Ontario Educational Communications Authority.

The announcer says WELCOME TO

TVOKIDS

POWER HOUR OF LEARNING.

The caption changes to "Today's Junior lesson: Improper and mixed fractions."

The caption changes to "Junior 4-6: Teacher Steven."

Teacher Steven is in his forties, bald and with a thick beard. He wears glasses and a blue shirt.

He says HELLO, EVERYONE,

AND WELCOME TO THIS

POWER HOUR.

I'M TEACHER STEVEN,

AND OF ALL THE PLACES

YOU COULD BE RIGHT NOW,

I'M SO HAPPY YOU'RE HERE.

WE'RE GOING TO LOOK AT

THINGS TODAY IN THE MARVELLOUS

WORLD OF MATH,

BUT IT'S IMPORTANT TO REMEMBER

THAT SOMETIMES THE THINGS

WE TALK ABOUT CAN BE TOUGH,

AND IF YOU DON'T GET IT

RIGHT THE FIRST TIME,

NOT TO WORRY.

JEEPERS, WHEN I WAS YOUNG,

I USED TO GET SO CONFUSED

AND IT USED TO UPSET ME,

BUT DID YOU KNOW THAT

WHEN YOU GET SOMETHING WRONG

YOUR BRAIN ACTUALLY GROWS?

YEAH, IT'S TRUE.

WHEN I WAS YOUNGER,

I USED TO GET SO DISCOURAGED

WHEN I DIDN'T UNDERSTAND

SOMETHING THE FIRST TIME,

AND NOW THAT I'M AN ADULT,

I'M HERE TO

TELL YOU IT'S A-OKAY.

SO, LET'S GET GOING,

AND DON'T EVER, EVER,

EVER BE AFRAID

TO MAKE A MISTAKE.

TODAY, WE ARE

GOING TO TALK ABOUT

IMPROPER AND MIXED FRACTIONS.

FRACTIONS ARE PART OF

A PIECE OF SOMETHING,

SOMETHING BIGGER.

THOSE PARTS WE CALL EQUAL,

BECAUSE EACH PART

IS THE SAME SIZE

OR WORTH THE SAME AMOUNT.

THOSE EQUAL PARTS

ALL BELONG TO A THING.

WELL, WHAT IS THAT

THING THAT YOU MIGHT ASK?

WELL, ANYTHING THAT

CAN BE DIVIDED

INTO EQUAL PARTS.

THE THING IS WHAT

WE CALL ALL THE PARTS

WHEN THEY'RE PUT TOGETHER,

AND WHAT WE CALL THAT

THING IS ONE WHOLE.

IT WOULD BE LIKE

ONE WHOLE PIZZA.

He shows a prop pizza divided in 4 equal pieces and says WE ALWAYS USE THE PIZZA

TO EXPLAIN FRACTIONS.

EACH PIECE OF MY PIZZA IS EQUAL,

WHICH MEANS THEY

ALL ARE THE SAME SIZE.

WHEN THE PIECES ARE TOGETHER,

IT IS ONE WHOLE PIZZA,

BUT PIZZA ISN'T THE ONLY THING

THAT CAN BE DIVIDED

INTO EQUAL PARTS.

MY COUCH IN

THE BACK OF MY HOUSE.

IT HAS THREE CUSHIONS,

AND EACH ONE OF THOSE

CUSHIONS IS THE SAME SIZE.

WELL, IF I TAKE ONE OF

MY CUSHIONS OFF THE COUCH,

MY COUCH SIMPLY

DOESN'T LOOK COMPLETE.

SO, TODAY, WE'RE NOT ONLY

TALKING ABOUT PROPER FRACTIONS,

BUT PARTS OF THEM

AND MORE THAN ONE WHOLE.

WE CALL THOSE IMPROPER

AND MIXED FRACTIONS.

THOSE FRACTIONS ARE

A BIT MORE COMPLICATED,

BUT HAVE MANY OF

THE SAME CHARACTERISTICS

OF PROPER FRACTIONS.

NOW, LET'S SEND THINGS

OVER TO TEACHER SHAHANA

TO GO OVER THE BASICS

OF IMPROPER FRACTIONS

AND MIXED NUMBERS.

Teacher Shahana stands in front of a big screen.

Teacher Shahana is in her twenties, with above the shoulder straight brown hair. She wears black leggings and a blue Homework Zone T-shirt.

A caption on the screen reads "Improper fractions and mixed numbers."

She says HI, TVOKIDS.

I'M TEACHER SHAHANA.

AND I'M HERE TODAY

TO TALK TO YOU

ABOUT IMPROPER FRACTIONS

AND MIXED NUMBERS.

NOW, BEFORE WE BEGIN,

LET'S REVIEW WHAT A FRACTION IS.

NOW, A FRACTION IS A

PART OF A WHOLE.

SO, FOR EXAMPLE, IF I HAVE

A WHOLE CHOCOLATE BAR

THAT'S DIVIDED INTO

FOUR EQUAL PIECES

AND I EAT ONE PIECE

OUT OF THE FOUR...

THAT WOULD

MEAN THAT I'VE EATEN

ONE FOURTH OR ONE QUARTER

OF THE CHOCOLATE BAR,

AND THAT WOULD BE

MY FRACTION.

NOW, KEEP IN MIND, JUST IF YOU

FORGOT, IN CASE YOU FORGOT,

THE NUMBER AT THE

TOP OF THE FRACTION

IS WHAT WE

CALL THE NUMERATOR,

AND THE NUMBER AT THE BOTTOM

IS CALLED THE DENOMINATOR.

NOW, WHEN THE NUMERATOR IS

SMALLER THAN THE DENOMINATOR,

THAT'S WHAT WE CALL A

PROPER FRACTION.

Now a question appears on screen that reads "Let's say I buy four candy bars to share with my friends."

Pictures of the 4 friends appear with different fractions of the candy bars below.

Shahana says NOW, LET'S SAY I GO OUT AND

I BUY FOUR CHOCOLATE BARS

TO SHARE WITH

MY FRIENDS.

NOW, NOTICE THAT

THE CHOCOLATE BARS

ARE STILL DIVIDED INTO FOUR

EQUAL PIECES EACH.

LET'S SAY THE FIRST FRIEND

EATS ALL OF HIS CHOCOLATE BAR,

BECAUSE HE'S

REALLY HUNGRY.

SO HE'S EATEN FOUR FOURTHS

OF HIS CHOCOLATE BAR

OR FOUR QUARTERS.

THE SECOND PERSON ALSO EATS

THE ENTIRE CHOCOLATE BAR

OR FOUR QUARTERS.

THE THIRD PERSON

DOES THE SAME.

SO THAT'S ANOTHER

FOUR QUARTERS.

BUT I'M NOT

THAT HUNGRY ANYMORE,

SO I EAT ONLY ONE QUARTER

OF MY CHOCOLATE BAR.

NOW, IF WE ADD UP ALL

OF THOSE AMOUNTS...

FOUR PLUS FOUR PLUS FOUR

PLUS ONE MORE QUARTER

GIVES ME A TOTAL

OF 13 QUARTERS.

NOW, THIS FRACTION LOOKS

A LITTLE BIT DIFFERENT

THAN WHAT WE'VE

SEEN BEFORE,

BECAUSE THE

NUMBER AT THE TOP

IS BIGGER THAN THE

NUMBER AT THE BOTTOM,

OR IN OTHER WORDS,

THE NUMERATOR

IS BIGGER THAN

THE DENOMINATOR.

LOOKS A LITTLE

BIT FUNNY,

BUT IT DOES EXIST,

AND IT'S CALLED

AN IMPROPER FRACTION.

NOW, IF WE WANT OUR

IMPROPER FRACTION

TO LOOK A LITTLE

BIT MORE FRIENDLY,

HERE'S WHAT WE

MIGHT DO.

WE'LL GO BACK TO THE

QUESTION THAT WE JUST DID.

Now the screen shows the improper fraction the left and the mixed number to the right.

Shahana says AND WE SAID THAT

THE FIRST THREE FRIENDS

EAT ALL FOUR PIECES OF

THEIR WHOLE CHOCOLATE BAR

AND I ONLY EAT ONE.

SO, WE SAID

THAT ALTOGETHER,

THAT GIVES

US 13 QUARTERS.

OKAY. NOW, IF YOU

LOOK REALLY CLOSELY,

YOU'LL NOTICE THAT

THAT'S THE SAME THING

AS ONE, TWO,

THREE WHOLE

CHOCOLATE BARS

AND ONE QUARTER

OF A CHOCOLATE BAR

OR IN OTHER WORDS,

THREE AND A QUARTER.

SO THEREFORE,

THIS AMOUNT IS EXACTLY

THE SAME THING AS THIS AMOUNT,

AND THEREFORE, WE CAN

CHANGE AN IMPROPER FRACTION

TO A MIXED NUMBER.

NOW, A MIXED NUMBER

IS WHAT WE SEE OVER HERE,

WHICH IS A WHOLE NUMBER WITH

A FRACTION ADDED ONTO IT.

SO, WE CAN CHANGE

AN IMPROPER FRACTION

TO A MIXED NUMBER...

AND THE OTHER

WAY AROUND.

A caption reads "13 quarters is the same as 3 and a quarter."

Shahana says THANKS FOR

LISTENING, TVOKIDS.

I'M TEACHER SHAHANA,

AND NOW, YOU KNOW ALL

ABOUT IMPROPER FRACTIONS

AND MIXED NUMBERS.

The clip ends.

Teacher Steven says THANK YOU, TEACHER SHAHANA.

OH, MY GOODNESS.

ALL THIS TALK ABOUT CHOCOLATE

BARS IS MAKING ME HUNGRY!

SO, WITH ALL THAT IN MIND,

LET'S DO A QUICK

REVIEW OF PROPER FRACTIONS

AND HOW THEY RELATE

TO OUR MIXED NUMBERS

AND IMPROPER FRACTIONS.

He holds up a card with a fraction that reads 4 eights and a graph representing it.

He says THIS IS A PROPER FRACTION,

AND AS

TEACHER SHAHANA TAUGHT US,

THE NUMBER ON THE TOP

IS CALLED THE NUMERATOR.

LET ME HEAR YOU SAY IT.

NUMERATOR.

AND THE NUMBER ON THE BOTTOM

IS CALLED THE DENOMINATOR.

SAY THAT ONE NOW.

DENOMINATOR.

NUMERATOR AND DENOMINATOR.

WE SAY FOUR EIGHTHS

IS A PROPER FRACTION

BECAUSE THE NUMERATOR IS

SMALLER THAN THE DENOMINATOR.

WHAT THIS FRACTION

IS REFERRING TO

IS FOUR OUT OF

EIGHT EQUAL PARTS,

AND JUST LIKE TEACHER SHAHANA,

I HAVE A CHOCOLATE BAR HERE,

AND WE COULD

SAY THAT MAYBE I ATE

FOUR OUT OF EIGHT TOTAL PIECES.

MM-MM! DELICIOUS.

NOW, LET'S HAVE A LOOK AT

THIS FRACTION RIGHT HERE.

He now shows a card with a fraction that reads 1 and one half and says THIS IS WHAT WE

CALL A MIXED NUMBER.

ONE AND ONE-HALF.

WE HAVE THIS BIG NUMBER

RIGHT OVER HERE ON THE SIDE.

THE BIG NUMBER IS

SOMETHING WE CALL A WHOLE.

REMEMBER, JUST LIKE THAT PIZZA,

A WHOLE IS SMALLER PARTS

PUT TOGETHER INTO ONE,

AND IN THIS PARTICULAR CASE,

WE HAVE ONE WHOLE.

IT COULD BE

ONE WHOLE CHOCOLATE BAR,

ONE WHOLE PIZZA,

OR IF YOU'RE AT MY HOUSE,

ONE WHOLE COUCH

IN THE BACK OF THE HOUSE.

NOW, THIS FRACTION ALSO

HAS THIS GUY RIGHT OVER HERE.

THIS IS ONE OVER TWO,

OR WE CALL IT ONE-HALF.

THIS FRACTION IS

ONE AND ONE-HALF,

AND I HAVE ONE WHOLE RIGHT HERE,

AND ONE-HALF ON THE BOTTOM.

IT COULD BE ONE AND HALF

PIZZAS FOR DINNER.

THAT'S A LOT OF PIZZA.

REMEMBER, AS YOU LOOK

AT THIS MIXED NUMBER,

THE BIG NUMBER ALWAYS

MEANS A WHOLE SOMETHING,

AND THIS PROPER

FRACTION ON THE SIDE

ARE PARTS OF THE SAME THING.

MAYBE ONE WHOLE DONUT

AND A HALF OF ANOTHER DONUT.

FRACTIONS,

FRACTIONS ARE ALWAYS DELICIOUS.

He now shows a card with a fraction that reads 12 ninths and says ALRIGHT, THIS LAST ONE IS GOING

TO LOOK A LITTLE BIT FUNNY.

THIS ONE IS CALLED

AN IMPROPER FRACTION.

IN THIS CASE, THE NUMERATOR

ON THE TOP IS BIGGER THAN

THE DENOMINATOR ON THE BOTTOM.

NOW, JUST BECAUSE IT

LOOKS A LITTLE TOP HEAVY,

DOESN'T MEAN IT'S

STILL NOT A FRACTION.

IT STILL DOES ALL THE THINGS

THAT A FRACTION WOULD DO,

IT JUST LOOKS

A LITTLE BIT DIFFERENT.

LET ME PUT IT THIS WAY,

IT WOULD BE LIKE IF I PUT

MY SUNGLASSES ON UPSIDE DOWN.

MY SUNGLASSES LOOK

A LITTLE BIT FUNNY,

BUT THEY'RE STILL SUNGLASSES,

AND THEY STILL DO THE THINGS

THAT SUNGLASSES NEED TO DO.

WELL, THAT'S PRETTY MUCH WHAT

AN IMPROPER FRACTION IS AS WELL,

BUT TO UNDERSTAND

THIS IMPROPER FRACTION,

WE NEED TO MAKE IT

A LITTLE MORE UNDERSTANDABLE,

AND THE WAY WE'RE

GOING TO DO THAT

IS WE'RE GOING TO TURN IT

INTO A MIXED NUMBER.

NOW, THIS MIGHT GET

A LITTLE BIT COMPLICATED,

BUT FOLLOW ALONG,

AND REMEMBER, IF YOU DON'T

GET IT RIGHT THE FIRST TIME,

THAT DOESN'T MEAN

YOU WON'T LEARN IT

AND YOUR BRAIN WILL GROW.

SO, WHAT WE NEED TO DO TO TURN

THIS

INTO A MIXED NUMBER IS

FIGURE OUT HOW MANY TIMES

OUR DENOMINATOR WILL FIT

EQUALLY INTO OUR NUMERATOR.

WELL, IF I LOOK AT

MY NUMBER NINE,

I KNOW THAT IT'S NOT TOO FAR OFF

FROM MY NUMBER TWELVE.

SO, I KNOW THAT MY NUMBER NINE

FITS EQUALLY ONCE

INTO MY NUMBER TWELVE.

NOW, IF I DOUBLE MY NUMBER NINE,

NINE TIMES TWO IS EIGHTEEN,

THAT'S WAY TOO MANY,

SO I KNOW THAT NINE ONLY

GOES INTO TWELVE ONCE.

NOW, THAT ONE IS GOING TO

BECOME OUR WHOLE NUMBER.

THEN WE NEED TO FIGURE OUT

HOW MANY MORE TIMES

WE CAN COUNT BETWEEN

NINE AND TWELVE.

COUNT WITH ME.

TEN, ELEVEN, TWELVE.

SO, THERE ARE THREE NUMBERS

BETWEEN NINE AND TWELVE,

WHICH MEANS THAT

OUR MIXED NUMBER IS

ONE AND THREE NINTHS.

ALWAYS REMEMBER,

THE DENOMINATOR STAYS THE SAME.

REMEMBER, THE DENOMINATOR

IS OUR NUMBER NINE,

AND WHAT DOES IT DO?

IT STAYS THE SAME.

WELL, ONE AND THREE-NINTHS

IS A LOT EASIER TO READ

THAN TWELVE-NINTHS,

IF YOU ASK ME.

NOW, IF WE WANT TO

TURN OUR MIXED NUMBER

BACK INTO AN IMPROPER FRACTION,

THERE'S THREE EASY STEPS.

THE FIRST THING THAT WE WILL DO

IS MULTIPLY OUR DENOMINATOR

BY OUR WHOLE NUMBER.

NINE TIMES ONE.

WELL, NINE TIMES ONE IS NINE.

THEN WE'LL ADD OUR NUMERATOR,

WHICH IS THREE.

SO, NINE PLUS THREE,

WHICH IS TWELVE,

AND IN THIS CASE,

OUR DENOMINATOR STAYS THE SAME!

SO, WE HAVE MADE OUR WAY FROM

AN IMPROPER FRACTION

TO A MIXED NUMBER

AND BACK AGAIN.

NOW, I KNOW THAT WAS

A LOT OF INFORMATION,

BUT THAT'S OKAY!

YOU'VE TOTALLY GOT THIS.

LET'S HAVE A LITTLE BRAIN BREAK,

AND CHECK IN WITH

OUR FRIEND TUMBLEWEED

AS HE MAKES DIFFERENT

COMBINATIONS OF TEN.

An episode of Tumbletown Tales rolls.

(music plays)

A red book with a hamster on the cover appears against a background in which a castle can be seen.

Tumbleweed says TUMBLETOWN TALES!

STARRING ME, TUMBLEWEED.

The red book opens. A popup castle comes up, and inside the castle, Tumbleweed stands in a restaurant.

Tumbleweed says HELLO, I'M

TUMBLEWEED,

AND I'LL BE

YOUR WAITER.

Two bunny rabbits sit at a table.

A white rabbit says YO!

Tumbleweed says NICE HAIR.

THANKS.

The white rabbit says IT'S MY

NEW DO.

SO, WHAT'S ON

THE MENU?

Tumbleweed says WELL, HERE AT THE

10 SEED DINER,

YOU CAN ORDER TEN

SEEDS OF ANY VARIETY,

ALL FOR ONE DIME.

The white rabbit says I'LL HAVE TEN SESAME

SEEDS, PLEASE.

A black rabbit says YOU KNOW WHAT

I'LL HAVE?

The white rabbit says WHAT'S THAT?

The black rabbit says TEN SUNFLOWER

SEEDS, PLEASE.

Tumbleweed says COMING RIGHT UP.

OKAY, BRENT, I

NEED ONE ORDER

OF SESAME AND

ONE ORDER

OF SUNFLOWER.

Brent says TEN SESAME AND

TEN SUNFLOWER

COMING UP, BUDDY.

[bell dings]

THERE YOU GO,

AND ONE FOR YOU.

The black rabbit says MMM, THAT

LOOKS GOOD.

The white rabbit says HEY, THOSE

ARE MINE.

Tumbleweed says WHAT CAN I GET

YOU, TWIGGY?

Twiggy says UH, TEN POPPY

SEEDS, PLEASE.

Tumbleweed says YOU GOT IT!

WHAT ABOUT

YOU, SAL?

Sal says I DON'T KNOW,

TUMBLEWEED.

A DIME FOR

TEN SEEDS?

THAT'S A LOT

OF MONEY.

HOW ABOUT YOU GIVE ME

EMPLOYEE DISCOUNT?

Tumbleweed says ARE YOU KIDDING?!

Sal says I HAD TO TRY.

I WILL HAVE FIVE

SESAME SEEDS,

AND FIVE

PUMPKIN SEEDS.

The white rabbit says HE ORDERED WHAT?!

A customer says IS THAT EVEN AN

OPTION?

Tumbleweed says YOU WANT FIVE

OF ONE KIND,

AND FIVE OF

ANOTHER KIND?

Sal says YES, FIVE

AND FIVE.

THAT IS WHAT

I WANT.

Tumbleweed says I GUESS FIVE

SESAME SEEDS

PLUS FIVE PUMPKIN

SEEDS EQUALS TEN,

SO I GUESS

WE CAN DO THAT.

[everyone chattering]

The white rabbit says I DIDN'T KNOW WE COULD

MIX UP OUR ORDERS.

Tumbleweed says OKAY, BRENT,

TEN POPPY SEEDS.

AND ANOTHER ORDER

IS GOING TO BE

FIVE SESAME AND

FIVE PUMPKIN.

Brent says UHHHH, OKAY, BUDDY.

Tumbleweed says THIS ONE FOR YOU AND

YOUR HALF AND HALF.

Tumbleweed serves the dishes.

Tumbleweed says VOILA, BON APPETIT!

A grey hamster says UH, THREE PUMPKINS

AND SEVEN FLAX FOR ME.

Tumbleweed says UH, THREE PLUS

SEVEN EQUALS TEN.

OKAY.

The white rabbit says I'M STILL HUNGRY.

I WOULD LIKE TWO CANARY

AND EIGHT OAT GROATS.

Tumbleweed looks confused.

Tumbleweed says WAIT, TWO CANARY,

EIGHT OAT GROATS,

THREE PUMPKIN,

SEVEN FLAX.

Bret says SLOW DOWN, BUDDY!

I DIDN'T GET

ALL THAT ORDER.

Tumbleweed says I SAID TWO CANARY,

EIGHT OATS,

THREE PUMPKIN-

A dark hamster eats at a table and says AND DON'T FORGET

THE FLAX.

AND MAKE SURE

THEY'RE ORGANIC;

IT HELPS WITH

HIS DIGESTION.

A white hamster says HEY, FUZZY FACE,

WHAT ABOUT MY ORDER?

The white rabbit says YEAH, WHO'S GONNA

TAKE HIS ORDER?

Tumbleweed says JUST A MINUTE,

PLEASE.

YOU ORDERED

NINE AND ONE,

AND YOU HAD THREE

AND FOUR AND THREE.

JUST A MINUTE,

EVERYONE.

I'LL GET RIGHT

TO YOU.

The gray hamster says I NEED THESE TO

BE ORGANIC.

Tumbleweed says YEAH, I KNOW!

The white hamster says WHAT ABOUT ME

ORDER, FUZZY FACE?

Tumbleweed says JUST A MINUTE,

PLEASE.

COULD YOU REPEAT

YOUR ORDER AGAIN?

A hamster says I'D LIKE TWO

SUNFLOWER, TWO PUMPKIN,

FOUR POPPY AND

TWO FLAX, PLEASE.

The additions appear on the screen.

The white hamster says WHAT ABOUT ME

ORDER, MAN?!

Tumbleweed says OKAY, SOMEBODY WANTS TWO

SUNFLOWER, TWO PUMPKIN,

FOUR POPPY AND

TWO FLAX.

Brent says WAIT, WHAT, NO,

I - WHAT?!

Tumbleweed says NO, IT ADDS

UP TO TEN.

Brent says BUT, NO, WE

CAN'T!

Tumbleweed says WE HAVE TO!

IT'S THE 10 SEED

DINER!

AHHH!!!

[crickets chirping]

Later at night, Tumbleweed and Brent eat seeds from the floor.

Tumbleweed says OKAY, THAT WAS

CRAZY.

WHAT ARE WE

GONNA DO?

Brent says UH, BUDDY, WE

CAN'T KEEP UP

WITH ALL THOSE

ORDERS.

PEOPLE ARE MAKING

THEIR OWN DISHES NOW.

Tumbleweed says MAKING THEIR

OWN DISHES, EH?

BRENT, YOU'RE

A GENIUS!

Brent says HUH?

I AM?

Then, Tumbleweed stands behind the counter.

Tumbleweed says WELCOME TO THE

10 SEED DINER.

NOW, WITH OPTIONAL

SEED BUFFET.

YOUR TOTAL IS

TEN CENTS, PLEASE.

Sal says WHAT, NO DISCOUNT?

Tumbleweed says SAL!

Sal says OH, OKAY.

I'M JUST KIDDING.

HERE IS A DIME.

Tumbleweed says OH OH, THAT'S

ONLY TEN CENTS.

WHERE'S MY TIP?

Sal says NO, YOU DON'T

TIP AT BUFFET.

THERE WAS NO

TABLE SERVICE.

Tumbleweed says THERE WASN'T?

The episode ends.

The TVO Kids logo appears.

Teacher Steven says WOW! THAT IS ONE BUSY HAMSTER.

NOW, CLEARLY WE'RE

ALL NOW EXPERTS ON

IMPROPER FRACTIONS

AND MIXED NUMBERS,

AND IF WE'RE NOT, NOT TO WORRY,

WE ALL LEARN AT OUR OWN PACE,

AND SOMETIMES IT JUST

TAKES A LITTLE MORE PRACTICE.

DON'T FORGET, THAT ALSO MEANS

YOU'RE BRAIN IS GOING TO GROW.

SO, LET'S DO SOME COMPARING OF

IMPROPER FRACTIONS

AND MIXED NUMBERS.

NOW, IT HAS BEEN

AN AWFUL LONG TIME

SINCE I'VE BEEN TO

A PARTY OF ANY KIND,

BUT IF THERE'S ONE THING

I LOVE THE MOST ABOUT A PARTY

OR ANY CELEBRATION, IT'S CAKE.

I ALWAYS THOUGHT THE BEST

PART ABOUT THE PARTY WAS CAKE,

AND ENJOYING IT AT THE PARTY,

AND HOPING THERE'D BE LEFTOVERS,

BECAUSE WE WOULD EAT

THE LEFTOVERS FOR BREAKFAST

THE NEXT DAY.

THAT'S A TRUE STORY.

MY MOM WOULD ALWAYS ORDER A CAKE

THAT WAS JUST A BIT

BIGGER THAN WE NEEDED

SO WE COULD ENJOY

A LITTLE EXTRA FOR OUR FIRST

MEAL OF THE DAY, THE NEXT DAY.

SO, WITH THAT IN MIND,

LET'S DO SOME

VISUALIZING AND COMPARING.

LET'S SAY WE'VE GOT SOME

PARTIES THAT ARE HAPPENING,

AND WE WANT TO

COMPARE HOW MUCH CAKE

THEY'RE GOING TO

HAVE AT THOSE PARTIES.

LET'S LOOK AT PARTY NUMBER ONE.

PARTY NUMBER ONE HAS

TWO AND A HALF CAKES.

SO, THAT MEANS

THAT OUR NUMBER TWO

IS A WHOLE TWO CAKES.

THAT'S OUR WHOLE NUMBER.

THEN THIS NUMBER

OVER HERE IS A HALF.

MAYBE THEY WANT

A HALF CAKE FOR SOME OTHER

GUESTS THAT ARE

MAYBE ARRIVING LATER,

OR MAYBE THEY WANT IT

FOR BREAKFAST THE NEXT DAY.

SO, THEIR CAKES THAT

THEY HAVE LOOK LIKE THIS.

He shows a graph with two whole rectangles and one half.

He says WE HAVE ONE CAKE.

TWO CAKES,

WHICH MAKES OUR TWO WHOLE,

AND OUR HALF RIGHT DOWN

HERE AT THE BOTTOM.

THAT'S AT PARTY NUMBER ONE.

I GUESS THEY'RE GOING

TO HAVE A FEW PEOPLE OVER

IF THEY'RE GOING TO NEED

TWO AND A HALF CAKES.

LET'S HEAD ON OVER

TO PARTY NUMBER TWO.

WELL, PARTY NUMBER TWO HAVE

DECIDED THAT THEY'RE GOING TO

ORDER SEVEN HALVES OF CAKE.

NOW, REMEMBER, THIS IS CALLED A?

IMPROPER FRACTION.

AND OUR IMPROPER FRACTION

MIGHT LOOK A LITTLE CONFUSING,

BUT NOT TO WORRY,

WE'RE GOING TO TURN IT

INTO A MIXED NUMBER

SO IT MAKES A LITTLE MORE SENSE.

SO, LET'S HAVE A LOOK

AT OUR DENOMINATOR,

AND FIGURE OUT HOW MANY TIMES

IT WILL EQUALLY FIT

INTO OUR NUMERATOR.

LET'S COUNT BY TWOS.

TWO, FOUR, SIX.

EIGHT? OH, EIGHT IS

GOING TO BE TOO MANY

BECAUSE EIGHT IS

BIGGER THAN SEVEN.

SO, WE KNOW THAT TWO EQUALLY

FITS INTO SEVEN THREE TIMES.

SO, THREE WILL BE

OUR WHOLE NUMBER.

THEN, WE NEED TO

FIGURE OUT THE DIFFERENCE

BETWEEN THE NUMBER SIX

AND THE NUMBER SEVEN.

IF WE COUNT BETWEEN

SIX AND SEVEN,

IT'S ONE, AND WHAT DO WE SAY

ABOUT OUR DENOMINATOR?

THE DENOMINATOR STAYS THE SAME.

SO, PARTY NUMBER TWO

ARE GOING TO HAVE

ONE, TWO,

THREE WHOLE CAKES,

AND A HALF.

WHO IS GOING TO THAT PARTY?

THREE WHOLE AND ONE HALF.

WELL, I KNOW THAT THEY'VE GOT

MORE THAN PARTY NUMBER ONE,

BECAUSE THEY'VE ONLY

GOT TWO WHOLE CAKES

AND A HALF.

WELL, HANG ON A MINUTE.

IF YOU CAN BELIEVE IT,

THERE'S ACTUALLY THREE PARTIES.

THREE PARTIES!

WHAT A TIME!

SO, LET'S HAVE A LOOK

AT PARTY NUMBER THREE

AND SEE HOW MUCH CAKE

THEY HAVE ORDERED.

MAYBE THAT'LL HELP US DECIDE

WHAT PARTY WE WANT TO GO TO.

PARTY NUMBER THREE HAS

ORDERED FIVE HALVES.

OH, BOY.

HERE'S ANOTHER ONE OF

THOSE IMPROPER FRACTIONS.

SO, FIVE HALVES OF CAKE.

WELL, OUR FIRST STEP

IS GOING TO BE

FIGURING OUT HOW MANY

TIMES OUR DENOMINATOR

WILL FIT INTO OUR NUMERATOR.

COUNT WITH ME BY TWOS.

I KNOW YOU CAN DO IT.

TWO, FOUR.

SI-- OH!

SIX WOULD BE BIGGER THAN FIVE,

WHICH MEANS THAT

TWO EQUALLY FITS

INTO FIVE TWICE.

TWO IS NOW GOING TO

BE OUR WHOLE NUMBER,

WHICH MEANS THEY

HAVE TWO WHOLE CAKES.

NOW, WE HAVE TO FIGURE OUT

WHAT THE DIFFERENCE IS

BETWEEN THE NUMBER FOUR

AND THE NUMBER FIVE,

AND THAT IS GOING TO HELP TO

MAKE UP OUR PROPER FRACTION

THAT GOES WITH OUR WHOLE NUMBER.

SO, TWO TIMES TWO IS FOUR,

WHICH MEANS THAT FOUR TO FIVE

IS JUST ONE,

WHICH MEANS THAT

PARTY NUMBER THREE HAS GOT

ONE, TWO WHOLE

AND ONE HALF CAKES!

WAIT A MINUTE!

THAT MEANS THEY ARE THE SAME

AS PARTY NUMBER ONE!

WELL, I DON'T KNOW ABOUT YOU,

BUT I THINK I'M GOING

TO PARTY NUMBER TWO,

WHERE THEY'VE GOT

THREE AND A HALF CAKES,

AND HOPEFULLY THERE'LL BE

A LITTLE THAT I CAN TAKE

ALONG WITH ME FOR

BREAKFAST THE NEXT DAY.

GREAT JOB COMPARING, EVERYBODY.

NOW, SPEAKING OF CAKE,

THERE'S A YOUNG LADY

NAMED KAKSA'TI:IO,

WHO ENJOYS SOME BIRTHDAY CAKE

ON THIS EPISODE OF

RAVEN'S QUEST.

(music plays)

Clips show a 10 year-old girl with long straight brown hair blowing birthday candles, modeling traditional First Nations clothes, planting seeds, and doing gymnastics.

The narrator says THIS IS KAKSA'TIO.

TODAY'S HER SPECIAL DAY.

Guests cheer and say WOO!

The narrator says SHE'S PROUD TO MODEL

FIRST NATIONS CLOTHING.

SHE'S GOT A GREEN

THUMB FOR GARDENING.

She says AND VOILA.

The narrator says AND SHE'S A WINNING GYMNAST.

READY TO MEET KAKSA'TI:IO?

LET'S GO!

(music plays)

In animation, pictures of several different kids appear hanging on laundry lines. A raven on the lines flies off to the sun and opens his wings as the title of the show appears. It reads "Raven's Quest."

Kaksa'Ti:Io says SHE:KON. HELLO.

I AM KAKSA'TI:IO AND

I AM 10 YEARS OLD.

I AM FROM THE MOHAWK NATION

AND I LIVE IN KANAWÀ:KE WHICH IS

RIGHT NEXT TO MONTREAL.

MY NAME KAKSA'TI:IO MEANS

NICE GIRL OR PRETTY GIRL.

She poses for a photographer.

The photographer says NICE.

Kaksa'Ti:Io says I MODELLED THREE

TIMES BEFORE.

The photographer says YOU'RE GONNA BE ON THE FRONT OF

THE POW-WOW EDITION THIS YEAR BY

THE WAY.

Kaksa'Ti:Io says WHEN I MODEL I FEEL

NERVOUS AND OKAY AT THE SAME

TIME BUT MOST

OF THE TIME I'M NERVOUS.

The photographer says OH MY GOODNESS.

THAT'S AWESOME.

Kaksa'Ti:Io says I AM PROUD TO MODEL

TRADITIONAL CLOTHING AND TO

REPRESENT MY

NATION IN A POSITIVE WAY.

The photographer says THAT LOOKS REALLY GOOD ACTUALLY.

Kaksa'Ti:Io says I LIKE RIBBON DRESSES BECAUSE

THEY'RE REALLY PRETTY AND

THEY'RE COMFORTABLE.

WHEN I WORK WITH DANIEL IT'S

FUNNY BECAUSE HE MAKES UP ALL

THESE JOKES.

A caption reads "Daniel."

Daniel, the photographer, is in his thirties, with short wavy brown hair and a goatee. He wears ochre trousers and a black sweater.

Daniel says DON'T LOOK AT YOUR MOM

SHE DOESN'T KNOW ANYTHING.

NOW YOU CAN'T STOP SMILING.

STOP.

Kaksa'Ti:Io says I THINK DANIEL'S A GREAT

PHOTOGRAPHER.

Daniel says SEE?

WHEN YOU'RE

NATURAL IT'S PERFECT.

YOU DID PRETTY WELL.

SO WE'LL SEE YOU NEXT TIME.

They do a cool handshake.

Kaksa'Ti:Io says GUYS HOW TO SAY SMILE IN MY

LANGUAGE.

SAIÉHSHON.

SAIÉHSHON.

SMILE.

WHEN YOU SMILE IT SHOWS

THAT YOU'RE A GREAT PERSON.

WELCOME TO MY HOUSE.

I'M GOING TO BE

SHOWING YOU GUYS AROUND.

She points at a pre-teen brown haired girl and says THIS IS MY SISTER

KAKSATAHNO:RON.

She points at a blond woman in her thirties and says THIS IS MY ISTA WHICH

MEANS MOM IN MY LANGUAGE.

HEY GUYS.

THIS IS MY ROOM AND I'M

GONNA SHOW YOU GUYS AROUND.

SO OVER HERE ON THE RIGHT IS

MY CLOSET AND I HAVE MY RIBBON

SKIRT OR RIBBON DRESS.

I LOVE THE COLOUR PURPLE AND

GOLD AND IT IS A TRADITIONAL

OUTFIT I WEAR TO SCHOOL AND TO

LIKE SOCIALS AND ALL KINDS OF

THINGS LIKE THAT.

THIS IS MY DREAM-CATCHER

I GOT WHEN I WAS 6.

I GOT IT AT THE POW-WOW BECAUSE

I WAS SCARED OF HAVING BAD

DREAMS AND I DIDN'T

WANT TO HAVE ANYMORE.

THESE ARE MY MEDALS.

I HAVE 5 RIGHT HERE.

4 OF THEM WERE FROM GYMNASTICS.

THIS ONE'S MY FAVOURITE MEDAL

BECAUSE IT LOOKS LIKE ONE FROM

THE OLYMPICS AND

IT'S REALLY HEAVY.

THIS IS MY TEDDY BEAR I

HAD SINCE I WAS 18 MONTHS.

I NAMED IT LADY.

IT'S BEEN WASHED AND

SEWED SO MANY TIMES.

IT'S MY FAVOURITE.

MY MOM WENT TO MIAMI

RECENTLY AND SHE GOT ME A SHELL.

I THOUGHT IT WAS REALLY COOL.

She points at a decorative letter K and says AND THEN HERE I HAVE MY K.

IT STANDS FOR MY NAME.

AND THAT'S THE END

OF MY ROOM TOUR.

HOPEFULLY YOU GUYS ENJOYED.

TODAY'S A REALLY SPECIAL DAY

BECAUSE IT'S MY BIRTHDAY AND

THESE ARE MY FRIENDS.

A brown haired girl says I'M TIOK.

A blond girl says I'M TYLEE.

Another brown haired girl says I'M MYLA.

Kaksa'Ti:Io says MY AUNTIE IS

THROWING A PARTY FOR ME.

LET'S GO INSIDE

AND CHECK IT OUT.

THIS IS MY BABY

BROTHER RAHWATSIRAHNÍ:RATS.

OOH.

THEY BROUGHT US SOME PIZZA.

MMM.

THIS IS MY AUNTIE VANESSA.

Vanessa says HI.

Kaksa'Ti:Io says MY FAVOURITE PIZZA

IS CHEESE PIZZA.

I USED TO TAKE OFF THE CHEESE

TO JUST EAT THE BREAD AND THE

SAUCE.

SO IN MY FAMILY WE SING

HAPPY BIRTHDAY IN MOHAWK.

Her mom brings a cake to the table and all the guests sing.

(SINGING HAPPY

BIRTHDAY IN MOHAWK)

Kaksa'Ti:Io blows the candles and says I REALLY LIKE MY BIRTHDAY CAKE

BECAUSE IT'S A PRETTY COLOUR AND

IT'S VANILLA.

ME AND TYLEE, WE'VE BEEN

FRIENDS SINCE WE WERE BABIES.

I REALLY LIKE MY FRIENDS BECAUSE

THEY'RE FUNNY, THEY'RE NICE AND

THEY ALWAYS MAKE ME LAUGH.

Tiok says I WAS LIKE WHAT IF YOU HAVE AN

UGLY BIRTHDAY CAKE AND TYLEE WAS

LIKE WHAT IF THERE WAS A

DANCING WORM ON YOUR CAKE?

Kaksa'Ti:Io says GLORIOUS.

The girls say CHEERS.

Kaksa'Ti:Io says SO TODAY WE'RE AT THE COMMUNITY

GARDEN AND I'M GOING TO BE

TEACHING YOU GUYS HOW TO PLANT.

I'M GOING TO BE

PLANTING SOME CORN.

RIGHT NOW I'M BREAKING UP THE

DIRT SO I HAVE A NICE SPOT TO

PUT THE SEEDS.

YOU TAKE A CORN FROM

LAST YEAR AND YOU DRY IT.

YOU CAN PICK OFF THE LITTLE

PIECES OF CORN AND THESE ARE THE

SEEDS.

YOU CAN ALSO MAKE CORN HUSK

DOLLS WITH CORN AND YOU CAN ALSO

BRAID CORN.

NO WE'RE GONNA PLANT AND

I'M GONNA USE THREE SEEDS.

YOU HAVE TO PUT THE SEEDS IN THE

BOWL WITH WATER AND SOAK IT FOR

THREE DAYS.

THE CORN WE'RE PLANTING

TODAY IT IS SWEET YELLOW CORN.

AND THE LAST STEP

IS TO WATER IT.

SO, IN ABOUT 8 TO 10 WEEKS, IT'S

GOING TO GROW UP TO 6 FEET TALL.

TALLER THAN I AM RIGHT NOW.

I LIKE PLANTING BECAUSE IT KEEPS

YOU GROUNDED TO MOTHER EARTH AND

IT'S REALLY FUN TO

PLANT AND GET DIRTY.

AND VOILA.

At the gym, Kaksa'Ti:Io says THIS IS MY GYMNASTICS TEAM.

I WAS 3 YEARS OLD WHEN

I STARTED GYMNASTICS.

WHEN I STARTED

COMPETING I WAS 8 YEARS OLD.

I LIKE GYMNASTICS

BECAUSE IT'S FUN.

YOU LEARN NEW THINGS AND YOU CAN

GROW FROM JUST DOING THAT SPORT.

WHEN I COMPETE I'M SCARED

AND NERVOUS BUT ALSO EXCITED.

TONIGHT I'M NOT DOING A ROUTINE.

I'M JUST PRACTISING MY STUFF.

ON BEAM I HAVE TO WORK ON BACK

HAND SPRINGS, ROUND-OFFS AND

FRONT WALK OVERS FOR MY

NEXT YEAR'S COMPETITIONS.

ON BARS I AM BEST

AT HAND STANDS.

I REALLY LIKE MY COACHES BECAUSE

THEY HELP ME WITH ALL THE MOVES

AND IF I'M SCARED THEY WILL SPOT

ME THE FIRST FEW AND THEN AFTER

THAT THEY WILL LET ME GO BY

MYSELF BUT STILL BE THERE JUST

IN CASE.

IN THE FUTURE I WOULD LIKE TO GO

TO THE OLYMPICS BUT IF I DON'T

MAKE IT THAT FAR I'LL

PROBABLY BE A DANCER OR COACH AT

GYMNASTICS.

THANKS FOR WATCHING.

O:NEN.

All the team say GOODBYE.

Music plays as the end credits roll.

Logo: TVO Kids.

Logo: Apartment 11 Productions.

Copyright 2019, Florence Productions Inc.

Teacher Steven says THANKS, KAKSA'TI:IO,

AND HAPPY BELATED BIRTHDAY.

WELL, WHEN IT'S COLD OUTSIDE

AND I'VE GOT TO DO THE LAUNDRY,

I USUALLY USE

THE DRYER INSIDE MY HOUSE,

BUT WHEN IT'S NICE OUTSIDE

AND THERE'S A LOVELY BREEZE,

I LIKE TO USE MY CLOTHES LINE.

WHEN I WAS GROWING UP,

WE HAD A CLOTHESLINE IN

THE BACK OF OUR HOUSE

THAT CONNECTED TO FOUR

OTHER CLOTHESLINES ON

A LARGE POLE IN OUR BACKYARD.

ON A NICE DAY, WHEN EVERYBODY

WOULD BE DOING THEIR LAUNDRY,

AND THE WIND WOULD BLOW,

IT LOOKED LIKE A COLOURFUL

PINWHEEL IN ALL

OF OUR BACKYARDS.

WELL, FOR YOU TODAY

I HAVE BROUGHT

MY CLOTHESLINE INSIDE,

AND ON ONE END

I HAVE THE WORD "LEAST,"

AND THEN ON THE OTHER END

I HAVE THE WORD "GREATEST."

TODAY, YOU'RE GOING TO

HELP ME DO SOME LAUNDRY

BY ORDERING SOME FRACTIONS.

NOW, I HAVE A VARIETY OF

DIFFERENT FRACTIONS TODAY

TO PUT ON MY CLOTHESLINE.

SO, LET'S HAVE A LOOK.

THE FIRST FRACTION THAT I HAVE

IS ONE OVER TWO.

WE CALL THIS FRACTION

ONE-HALF AS WELL.

THE NUMERATOR IS A ONE,

THE DENOMINATOR IS A TWO.

WHICH MEANS THAT ONE HALF IS

ONE HALF OF ONE WHOLE.

SO, THIS FRACTION IS ACTUALLY

KIND OF SMALL.

SO, I THINK I'M GOING TO

START BY PUTTING THIS FRACTION

CLOSER TO THE LEAST END

OF MY DRYER RACK HERE.

ALRIGHT, ON WITH OUR CHORES.

MY NEXT FRACTION,

IT LOOKS A LOT BIGGER.

THIS FRACTION IS

TWO AND THREE-QUARTERS.

I HAVE TWO WHOLE,

AND THREE OVER FOUR.

NOW, THREE-QUARTERS

IS VERY CLOSE

TO ONE WHOLE,

BUT IF WE WERE TO ADD

ANOTHER WHOLE THAT MUST MEAN

THAT MY TWO AND THREE-QUARTERS

IS PRETTY BIG,

BUT I'M NOT QUITE SURE

HOW MUCH MORE WE'VE GOT

IN OUR LAUNDRY PILE TODAY.

SO, I'M GOING TO

PUT IT CLOSER TO

THE GREATER END

OF OUR CLOTHESLINE.

TWO WHOLE AND THREE-QUARTERS.

OH, OUR LAUNDRY

IS STARTING TO DRY.

HOW SATISFYING.

ALRIGHT, NOW, OUR NEXT NUMBER

IS PRETTY SIMPLE.

THIS NUMBER IS

ONE WHOLE.

WELL, THIS ISN'T

A FRACTION AT ALL,

BUT WE SHOULD PROBABLY

PUT IT ON THE LINE

SO WE'RE ABLE TO

ORDER OUR SHIRTS

OR OUR FRACTIONS EFFECTIVELY.

SO, ONE WHOLE, WELL,

IT'S DEFINITELY

BIGGER THAN ONE HALF.

IN FACT, ONE HALF IS SIMPLE

HALF OF A WHOLE.

SO, MAYBE I'LL PUT IT

DOWN NEAR THIS END,

THE LEAST END,

WITH OUR SMALLER FRACTIONS,

AND IF I HAVE TO MOVE IT,

THEN I'LL MOVE IT MOVE IT

IN THE OTHER DIRECTION.

ONE WHOLE.

TERRIFIC.

OH, NO!

SIX QUARTERS

OR SIX OVER FOUR.

HOW ARE WE GOING TO ARRANGE

THIS FRACTION ON

OUR CLOTHES LINE?

HM.

WE SHOULD PROBABLY CONVERT THIS

IMPROPER FRACTION

INTO A MIXED NUMBER.

NOW, TO START, WHAT DO WE DO

WITH OUR DENOMINATOR?

IF YOU SAID, "FIGURE OUT HOW

MANY TIMES WE CAN

FIT IT IN OUR NUMERATOR,"

YOU'D BE CORRECT.

SO, FOUR GOES INTO SIX

HOW MANY TIMES?

FOUR. EIGHT.

EIGHT IS WAY TOO BIG,

WHICH MEANS THAT FOUR

ONLY GOES INTO SIX

ONE WHOLE TIME.

NOW, WE NEED TO FIGURE

OUT THE DIFFERENCE BETWEEN

THE NUMBER FOUR

AND THE NUMBER SIX.

COUNT WITH ME.

FIVE.

SIX.

OH!

IT'S ONLY TWO,

WHICH MEANS TWO IS GOING TO

BECOME THE NUMERATOR IN

OUR NEW PROPER FRACTION

THAT GOES WITH OUR WHOLE NUMBER,

AND REMEMBER,

THE DENOMINATOR DOES WHAT?

THE DENOMINATOR STAYS THE SAME,

WHICH MEANS SIX OVER FOUR

IS EQUAL TO ONE WHOLE

AND TWO OVER FOUR.

WELL, THAT IS A LOT

EASIER TO UNDERSTAND.

SO, MAYBE, I'LL PUT IT

JUST OVER FROM ONE WHOLE,

BECAUSE IT IS DEFINITELY SMALLER

THAN TWO AND THREE-QUARTERS,

AND WE KNOW THAT

BECAUSE ONE WHOLE

IS SMALLER THAN TWO WHOLE.

LET'S PUT IT

RIGHT HERE IN FRONT.

He puts it in the middle of the line and says EXCELLENT.

HM.

WE HAVE ANOTHER

SMALLER FRACTION,

AND WE MIGHT HAVE TO MOVE A FEW

THINGS ON OUR LAUNDRY LINE,

BECAUSE OUR NEXT FRACTION

IS THREE-QUARTERS.

THREE OVER FOUR.

THIS IS A PROPER FRACTION

BECAUSE THE NUMERATOR IS SMALLER

THAN THE DENOMINATOR,

BUT IT'S DEFINITELY

SMALLER THAN ONE WHOLE.

HM.

IS IT BIGGER THAN ONE HALF?

YOU KNOW, I WAS WATCHING

AN EPISODE OF POWER HOUR

WHERE THEY TALKED ABOUT MONEY.

NOW, THIS GUY

TALKING ABOUT MONEY

SURE SEEMED LIKE HE KNEW

WHAT HE WAS GETTING AT,

BECAUSE HE SAID

THAT TWO QUARTERS

WAS THE SAME AS ONE HALF.

SO, THAT MEANS THREE QUARTERS

MUST BE SLIGHTLY

BIGGER THAN ONE HALF.

I WOULD DEFINITELY

CHECK THAT EPISODE OUT

IF YOU HAVE THE TIME.

SO, OUR THREE-QUARTERS

IS GOING TO GO

JUST AFTER ONE-HALF,

WHICH MEANS I'M GOING TO MOVE

THESE ONES OVER JUST A TINY BIT,

TO MAKE ROOM FOR OUR NEW

LAUNDRY ON THE LINE.

He puts 3 quarters between 1 half and 1 whole.

He says TERRIFIC!

WELL, WE'VE GOT ONE MORE SHIRT

AT THE BOTTOM OF THE PILE.

I HOPE I GET MY ALLOWANCE

FOR HANGING ALL THESE SHIRTS UP

ON THE LINE.

THIS FRACTION HAS A THREE

FOR THE WHOLE NUMBER.

NOW, ONCE AGAIN,

WE CALL THIS A MIXED NUMBER

BECAUSE IT HAS A WHOLE NUMBER

AND A PROPER FRACTION.

THREE WHOLE AND ONE OVER FOUR

OR ONE-QUARTER.

THIS MEANS THAT THERE

ARE FOUR EQUAL PARTS,

AND ONE OUT OF

THOSE FOUR EQUAL PARTS

IS SHOWN IN THIS FRACTION.

WELL, THE LAST FRACTION

THAT WE HAVE ON THE END,

CLOSEST TO GREATER,

BEGINS WITH TWO,

OUR WHOLE NUMBER

IN OUR MIXED NUMBER IS TWO.

I DON'T KNOW ABOUT YOU,

BUT I'M PRETTY SURE

THAT THREE WHOLE

IS GREATER THAN TWO WHOLE.

SO, I THINK WE'LL PUT IT AT

THE VERY END OF OUR CLOTHESLINE.

OUTSTANDING!

WE HAVE ORDERED ALL OF OUR

FRACTIONS FROM

LEAST TO GREATEST,

AND THANK YOU

SO MUCH FOR YOUR HELP!

GOT IT?

GREAT!

I'M GOING TO LET THESE

FRACTIONS DRY ON THE LINE

AND GO EXPLORING FOR FRACTIONS,

AND SPEAKING OF

EVERY DAY FRACTIONS,

PLEASE ENJOY

THE MUSICAL STYLINGS OF

PROFESSOR P,

AND THE BEAUTIFUL SINGING VOICE

OF LADY VOCAB.

TAKE IT AWAY!

The show rolls.

Professor P says I'M YOUR HUMBLE HOST

PROFESSOR P,

AND NOW GET READY FOR

THE LADY OF LYRICS,

LADY VOCAB!

Lady Vocab says THANKS PROFESSOR P,

ARE YOU READY TO

DELVE INTO THE

DICTIONARY?

Professor P says SURE WE ARE,

TODAY'S WORD IS

FRACTION, WHICH IS

A MATHEMATICAL TERM.

AND NOUN THAT MEANS

THAT A PART OF A

PIECE OF THE WHOLE,

AS IN IF WE DIVIDE

UP DESSERT, WE EACH GET

A FRACTION OF THE PIE.

Lady Vocab says OOH, OR AS IN UM, IF

WE DIVIDE UP THE PIE

INTO FOUR EQUAL PARTS,

WE EACH GET A QUARTER?

Professor P says UM HM, YES, YES,

THAT'S A LOT OF PIE

BUT YES MY LADY

Lady Vocab takes of her glasses and says THAT REMINDS ME PROFESSOR,

WHEN I WAS JUST A YOUNG

GIRL, GROWING UP,

DREAMING OF BECOMING

A STAR, I WAS PLAYING

IN THE SCHOOLYARD,

AND THE SCHOOL BULLY

TRIED TO STEAL MY

WHOLE CHOCOLATE BAR.

Professor P says HEY! HAD HE NEVER

HEARD OF SHARING?

Lady Vocab says APPARENTLY NOT, SO

I SAID IF WE SPLIT

IT IN TWO, WE EACH

GET HALF OF THE

CHOCOLATE BAR!

Professor P says THAT SEEMS LOGICAL,

DID IT WORK?

Lady Vocab says NO! SO I SAID, HEY

LOOK OVER THERE,

THERE'S A FLYING

DICTIONARY, AND THEN

I TOOK BACK MY WHOLE

CHOCOLATE BAR.

Professor P says HMM

Lady Vocab says BUT I STILL GAVE

HIM A QUARTER

Professor P says WELL I HOPE HE LEARNED

HIS LESSON AND HIS FRACTIONS.

Lady Vocab says ME TOO!

HIT IT!

Lady Vocab dances and sings DO THE FRACTION DANCE

DO THE FRACTION DANCE

HERE WE GO

IT'S ABOUT SHARING

WITH YOUR FRIEND

Professor P sings FRACTIONS MAKES

SHARING SO FUN,

ALL YOU HAVE TO DO IS

DIVIDE UP A WHOLE ONE

FRACTIONS CAN BE

SO BREEZY,

Lady Vocab sings A PIECE OF PIE

OR YOUR TIME

Professor P sings WITH FRACTIONS,

WONDERFUL THINGS

TVO KIDS, I SEE THAT

THE SUM OF THE PARTS

DO MAKE UP THE WHOLE

SLICE UP SOME

FRACTIONS TODAY,

WE'LL SEE YOU

NEXT TIME.

Lady Vocab sings FRACTIONS, ALL YOU

DO IS DIVIDE.

FRACTIONS, FRACTIONS,

FRACTIONS, FRACTIONS.

The show ends.

Teacher Steven says WOW, THAT LADY VOCAB

HAS GOT SOME KIND OF LOOK.

WELL, I HOPE YOU'VE

ENJOYED OUR DEEP DIVE

INTO THE WORLD OF

IMPROPER FRACTIONS

AND MIXED NUMBERS.

AND THE NEXT TIME YOU

ORDER A COUPLE OF PIZZAS

AND BEFORE YOU DIVIDE THEM UP,

HAVE A QUICK LOOK

BEFORE AND AFTER.

HOW MANY WHOLE PIZZAS

DO YOU HAVE LEFT?

THAT WOULD BE A PIZZA

WITH NO PIECES GONE!

MAYBE YOU HAVE

ONE-HALF A PIZZA LEFT.

MAYBE YOU HAVE

LESS THAN A WHOLE,

OR MAYBE TWO-THIRDS,

OR MAYBE ONE-QUARTER,

OR, IF YOU'RE LIKE MY HOUSE,

THE ONLY THING

YOU'RE GOING TO HAVE

IS A BUNCH OF EMPTY BOXES.

SO, FOR TVOKIDS

AND THE

POWER HOUR OF LEARNING,

I'M TEACHER STEVEN,

AND I HOPE TO SEE

YOU AGAIN REAL SOON.

A caption reads "Bonus material."

Another episode of "Tumbletown Tales" rolls.

In his castle, Tumbleweed speaks on the phone with his friend Brent.

Tumbleweed says SO, YOU'RE PAINTING

IT A NEW COLOUR?

REALLY?

SO, THE DINER'S GOING

TO BE CLOSED ALL WEEK?

Brent says YOU GOT IT, BUDDY.

THEY'RE STARTING

PAINTING TOMORROW.

THE PLACE IS GOING

TO BE CLOSED ALL WEEK.

Tumbleweed says OKAY, THANKS FOR CALLING, BRENT.

BYE.

A WHOLE WEEK OFF.

WHAT SHOULD I DO?

OH, I COULD ENJOY

THE WARM WEATHER

AND SOAK IN SOME RAYS.

OR MAYBE I SHOULD

CATCH UP ON MY PVR.

OR I COULD PAINT

THAT PORTRAIT OF TWIGGY

I'VE BEEN PROMISING HIM.

NO, THAT WOULD TAKE WEEKS.

IT WOULD HAVE TO BE PERFECT.

THIS MAGAZINE,

IT GIVES ME AN IDEA.

I CAN EXPAND MY CASTLE.

I'LL BUILD ANOTHER ROOM

AND THEN MAYBE THEY'LL PUT

A PICTURE OF IT IN THE MAGAZINE.

(LAUGHING)

He gets on his boat and says I'M GONNA BE FAMOUS!

YOU HEAR THAT, WORLD? FAMOUS!

Now he hits the road in his red car and says DRIVING IN MY CAR

GONNA EXPAND MY CASTLE

AND BECOME A STAR

CASTLE DIGEST MAGAZINE!

AH, CASTLE DEPOT.

THEY'LL HAVE WHAT I NEED.

He pulls up at Castle Depot and says HELLO. 900 BRICKS, PLEASE.

He puts the bricks on a trolley and drives.

Tumbleweed hits the road and sings a song that goes GONNA TAKE MY BRICKS HOME

AND BUILD A NEW ROOM

EVEN THOUGH I DON'T

KNOW WHAT I'M DOING

I WILL HAVE TO FIGURE

THAT OUT SOON

CHA CHA CHA

(PANTING)

At the docks, Tumbleweed pants and says OKAY, I FINALLY

UNLOADED ALL THESE BRICKS.

THAT WAS HARD.

UM, THERE ARE WAY TOO MANY

BRICKS TO CARRY IN MY BOAT.

UH, HELLO?

I'D LIKE TO HIRE THE FERRY,

PLEASE.

A white rodent says WHOA, THERE, FUZZY FACE.

YOU TRYIN' TO SINK ME BOAT?

I CAN ONLY TAKE

400 BRICKS PER TRIP.

SO, HOW MANY TRIPS DO YOU NEED?

Tumbleweed says UM, I HAVE 900 BRICKS HERE,

SO LET ME THINK.

YOU DON'T HAPPEN TO HAVE

A CALCULATOR I CAN BORROW,

BY ANY CHANCE?

The rodent says YEAH, MAN, I THINK YOU BETTER.

Tumbleweed says OKAY, LET ME SEE.

I NEED TO FIGURE THIS OUT.

I HAVE 900 BRICKS.

BUT I NEED TO DIVIDE THAT

INTO PILES OF 400 BRICKS.

SO, 900 DIVIDED BY 400 IS

TWO WITH SOME LEFT OVER.

(LAUGHING)

Tumbleweed says I WILL NEED TWO TRIPS, PLEASE.

SO, WHAT'S THE MAXIMUM NUMBER

BRICKS YOU'VE EVER TAKEN?

The rodent says 400.

Tumbleweed says OH, LIKE 400 IS

THE MOST YOU CAN TAKE?

The rodent says YEAH.

The rodent says I GUESS THAT'S WHY

WE WERE TALKING. OKAY.

WELL, THIS IS THE FIRST TRIP,

SO THAT'S...

OKAY, WATCH OUT,

REMAINDER OF BRICKS.

WE ARE COMING TO GET YOU.

The rodent says NO, MAN,

YOU CAN'T TAKE ALL THE BRICKS.

I TOLD YOU THIS...

Tumbleweed says REMAINDER OF BRICKS.

(LAUGHING)

Tumbleweed says LET'S GO! AH!

OH, I CAN'T WAIT TO BUILD

THIS ADDITION TO MY CASTLE.

I HOPE I DIDN'T

LEAVE ANYTHING BEHIND.

The rodent says YOU DID, MAN! DIDN'T YOU SEE?

YOU LEFT STUFF BEHIND!

Tumbleweed says WHAT, LIKE MY CAR?

The rodent says NOT YOUR CAR, FUZZY FACE.

Tumbleweed says WELL, THANK YOU SO MUCH.

WAIT, HAVE WE UNLOADED THEM ALL?

IT DOESN'T LOOK

LIKE ALL MY BRICKS YET.

The rodent says WELL, MAN.

YOU TOLD ME YOU

NEEDED TWO TRIPS.

THAT'S TWO TIMES 400.

THAT EQUAL 800 BRICKS.

Tumbleweed says BUT I HAD 900 BRICKS!

The rodent says IF YOU WANTED THEM ALL ACROSS,

YOU WOULD HAVE

NEEDED THREE TRIPS.

Tumbleweed says OH, NO!

I IGNORED THE DECIMAL

POINT TWO FIVE!

The rodent says WELL, I GOT TA GO, FUZZY FACE.

I'M LATE FOR ME

NEXT FERRY PICKUP.

Tumbleweed says NO.

The rodent says GOOD LUCK WITH

YOUR CONSTRUCTION.

Tumbleweed says DON'T LEAVE ME!

The rodent says I EXPECT AN INVITATION

TO THE CASTLE WARMING PARTY.

Tumbleweed says WAIT, I HAVE MORE BRICKS!

I DON'T HAVE ALL MY BRICKS!

HE LEFT.

Later, Tumbleweed builds an incomplete brick wall and says HUH.

He clears his throat and says OKAY, SO IT'S NOT PERFECT.

I GUESS THIS WON'T EXACTLY GET

ME INTO CASTLE DIGEST MAGAZINE.

'CAUSE YOU HAVE TO HAVE

A WHOLE CASTLE WALL,

AND I CLEARLY DON'T

BECAUSE I HAVE THIS BIG HOLE,

BUT I CAN SEE LOTS OF

THINGS THROUGH THE HOLE!

I CAN SEE CHINCHILLA!

HEY, CHINCHILLA, LOOK!

I HAVE A HOLE IN MY WALL!

HEY, CHINCHILLA, OVER HERE!

Chinchilla says CHINCHILLA?

Tumbleweed says ISN'T IT NICE?

Chinchilla says CHINCHILLA!

Now an episode of TVO Kids Homework Zone rolls.

Teacher Troy is in his thirties, bald and with a shadow of a beard. He wears a blue Homework Help T-shirt.

He says HEY, TVOKIDS!

THIS IS TEACHER TROY,

AND WE'RE GOING TO BE

TALKING ABOUT FRACTIONS.

FRACTIONS TALK ABOUT DIVISION.

AND IT'S REALLY IMPORTANT TO

REMEMBER THAT THE DENOMINATOR

TALKS ABOUT HOW MANY EQUAL PARTS

THE WHOLE IS DIVIDED INTO.

WHEN WE TALK

ABOUT THE NUMERATOR,

IT TELLS US HOW MANY

EQUAL PARTS ARE REPRESENTED.

NOW, WHAT ENDS UP HAPPENING

OFTENTIMES WHEN WE'RE DEALING

WITH FRACTIONS IS

WE HAVE TO COMPARE.

WHEN YOU COMPARE, YOU'RE LOOKING

AT TWO OR MORE THINGS

AND HOW DO THEY LOOK

AGAINST EACH OTHER.

WHICH ONE'S LARGER,

WHICH ONE'S SMALLER.

SO, WHAT WE CAN DO IS I'M GOING

TO SHOW YOU SOME TRICKS TODAY

ON HOW WE CAN HELP YOU,

WHAT WILL HELP YOU,

ON COMPARING FRACTIONS.

He shows 4 wooden hexagon divided in different ways. A whole yellow hexagon, a red hexagon divided in two equal parts, a blue one divided in 3 equal parts, and a green one divided in 6.

He says SO, WE START OFF HERE AT

THE BOARD JUST TO RECAP.

IF YOU LOOK AT OUR HEXAGON,

OUR HEXAGON IN THIS CASE,

THE DENOMINATOR IS NONE,

BECAUSE THE WHOLE IS DIVIDED

INTO ONE EQUAL PART.

IN THIS CASE, THE DENOMINATOR

IS TWO BECAUSE THE WHOLE IS

DIVIDED IN TWO EQUAL PARTS.

IN THIS CASE

THE DENOMINATOR IS THREE,

'CAUSE THE WHOLE IS

DIVIDED IN THREE EQUAL PARTS.

AND OF COURSE HERE

OUR DENOMINATOR IS SIX,

'CAUSE OUR WHOLE IS

DIVIDED INTO SIX EQUAL PARTS.

SO, AS WE KNOW,

AS THE DENOMINATOR GETS LARGER,

THE ACTUAL PIECES GET SMALLER,

AND THAT'S OFTENTIMES

A LITTLE CONFUSING,

BECAUSE YOU THINK

A LARGER NUMBER MEANS

SOMETHING THAT'S BIGGER.

ALL IT MEANS IS THERE'S

MORE SPLITS OR MORE SLICES.

SO, IF WE LOOK AT THE BOARD,

WE SEE WE HAVE THREE

FRACTIONS HERE THAT

WE WANT TO COMPARE.

NOW, IF WE LOOK AT IT,

WE HAVE TWO-THIRDS,

ONE-HALF, AND FIVE-SIXTHS.

SO, IN LOOKING AT THAT,

WHICH ONE IS SMALLER,

AND WHAT ORDER

WOULD YOU PUT THEM IN?

WHICH IS SMALLEST TO LARGEST.

SO, WHAT WE'LL DO IS

WE'LL GO BACK TO OUR MODELS,

AND WE'LL LOOK AT IT,

AND LET'S FORM IT.

SO, WE'LL START OFF

WITH THE TWO-THIRDS.

SO, TWO-THIRDS,

WE LOOK AT THE BLUE,

BECAUSE THE WHOLE IS

DIVIDED INTO THREE EQUAL PARTS,

MEANING OUR

DENOMINATOR IS THREE.

SO, I TAKE TWO OF THEM,

'CAUSE TWO ARE REPRESENTED.

SO, THAT RIGHT THERE GIVES

US A REPRESENTATION OF WHAT

TWO-THIRDS WOULD BE.

THEN WE LOOK AT ONE-HALF,

WHICH IS RIGHT HERE.

A WHOLE IS DIVIDED

IN TWO EQUAL PARTS.

ONE IS REPRESENTED.

SO, WE HAVE THAT LEFTOVER,

AND WE LOOK AT FIVE-SIXTHS.

SO, I TAKE THE SIXTHS.

I TAKE FIVE OF THEM.

THE WHOLE IS DIVIDED

INTO SIX EQUAL PARTS.

FIVE IS REPRESENTED.

AND NOW WHAT WE DO

IS WE COMPARE THEM.

SO, IF WE LOOK AT IT... ..I CAN ACTUALLY PLACE

ONE-HALF OVER

THE TWO-THIRDS

AND WE KNOW THAT ALL OF

A SUDDEN NOW THE TWO-THIRDS

MUST BE LARGER THAN ONE HALF.

SO, THAT WOULD MEAN

THAT ONE-HALF IS SMALLER.

IF WE LOOK AT IT, WE KNOW THAT

ONE, TWO, THREE, FOUR, FIVE.

THIS TWO-THIRDS ACTUALLY FITS... ..EQUALLY OVER

AND THERE'S ONE LEFT OVER.

AND LOOK AT THAT.

He places the red half on top of the blue and green parts and says SO, ALL OF A SUDDEN,

YOU CAN SEE,

STACKED ON TOP OF EACH OTHER,

WHICH IS SMALLEST TO LARGEST.

SO, IF WE LOOK AT IT,

WE KNOW THAT ONE-HALF,

THEN TWO-THIRDS,

THEN FIVE-SIXTHS.

SO, WHAT'S IMPORTANT HERE,

TVOKIDS, IS WE HAVE TO

REALLY LOOK AT THE PIECES,

AND ONCE YOU LOOK AT THE PIECES,

THAT'S WHERE THE PUZZLE'S

GOING TO GET SOLVED,

AND THEN COMPARING THAT

AND LOOKING AT IT,

WE ALSO SEE THAT ALL BECAUSE

A NUMBER IS LARGER,

AS IN WITH FIVE-SIXTHS,

IT DOESN'T MEAN THAT IT'S

ALWAYS GOING TO BE BIGGER,

BECAUSE RIGHT HERE WE KNOW

THAT TWO-THIRDS IS LARGER THAN

ONE-HALF, AND TWO-THIRDS

IS SMALLER THAN FIVE-SIXTHS.

SO, WE JUST HAVE TO LOOK AT IT,

PLAY WITH IT,

AND SEE HOW IT WORKS.

I'M TEACHER TROY,

AND I HOPE THAT HELPS.

A caption reads "TVO Kids would like to thank all the teachers involved in the Power Hour of Learning as they continue to teach the children of Ontario from their homes."

Copyright 2021, The Ontario Educational Communications Authority.

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