# Transcript: Comparing Fractions

(music plays)

In a colourful TV studio, Troy stands next to a wall touch screen showing the logo of the program. He is in her late twenties, clean-shaven and bald. He wears a blue T-shirt with a print that reads "Home Work Zone."

He says HI TVO KIDS,

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

OFTEN TIMES

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.

SO IF WE START OFF

HERE AT THE BOARD.

A close-up shot shows four hexagons: a yellow on, a red one divided in two pieces, a blue one divided in three pieces and a green one divided in six pieces.

He continues JUST A RECAP, IF WE

LOOK AT OUR HEXAGON,

OUR HEXAGON

IN THIS CASE,

THE DENOMINATOR IS

ONE BECAUSE

THE WHOLE IS

DIVIDED INTO

ONE EQUAL

PART.

IN

THIS CASE,

THE DENOMINATOR

IS TWO BECAUSE

THE WHOLE IS DIVIDED

INTO TWO EQUAL PARTS.

IN THIS

CASE,

THE DENOMINATOR

IS THREE BECAUSE

THE WHOLE IS

DIVIDED INTO

THREE EQUAL

PARTS,

AND OF COURSE

HERE, OUR DENOMINATOR

IS SIX BECAUSE

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 OFTEN

TIMES 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 THAT WE

HAVE THREE FRACTIONS

HERE THAT WE WANT

TO COMPARE.

He turns to point at the touch screen.

He continues NOW IF WE

LOOK AT IT,

WE HAVE TWO THIRDS,

ONE HALF AND

FIVE SIXTHS.

SO IN LOOKING

AT THAT, WHICH ONE

IS SMALLER?

IN 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, 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 BECAUSE

TWO ARE REPRESENTED

SO THAT

RIGHT THERE,

THAT GIVES US

A REPRESENTATION

OF WHAT TWO THIRDS

WOULD BE.

THEN WE

LOOK AT ONE HALF,

WHICH IS RIGHT

HERE.

OUR WHOLE IS

DIVIDED INTO

TWO EQUAL PARTS,

ONE IS REPRESENTED.

SO WE HAVE THAT

LEFT OVER,

AND WE LOOK

AT FIVE SIXTHS.

SO I TAKE THE

SIX,

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...

[Music playing]

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...

[Music playing]

THIS TWO THIRDS

ACTUALLY FITS

EQUALLY OVER AND

THERE'S ONE LEFT OVER.

[Music playing]

AND LOOK

AT THAT.

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,

TVO KIDS,

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 IN COMPARING

THAT AND

LOOKING AT

IT, WE ALSO SEE

THAT ALL BECAUSE THE

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

AND PLAY WITH IT,

AND SEE HOW IT WORKS.

I'M TEACHER TROY AND

I HOPE THAT HELPS.

In a colourful TV studio, Troy stands next to a wall touch screen showing the logo of the program. He is in her late twenties, clean-shaven and bald. He wears a blue T-shirt with a print that reads "Home Work Zone."

He says HI TVO KIDS,

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

OFTEN TIMES

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.

SO IF WE START OFF

HERE AT THE BOARD.

A close-up shot shows four hexagons: a yellow on, a red one divided in two pieces, a blue one divided in three pieces and a green one divided in six pieces.

He continues JUST A RECAP, IF WE

LOOK AT OUR HEXAGON,

OUR HEXAGON

IN THIS CASE,

THE DENOMINATOR IS

ONE BECAUSE

THE WHOLE IS

DIVIDED INTO

ONE EQUAL

PART.

IN

THIS CASE,

THE DENOMINATOR

IS TWO BECAUSE

THE WHOLE IS DIVIDED

INTO TWO EQUAL PARTS.

IN THIS

CASE,

THE DENOMINATOR

IS THREE BECAUSE

THE WHOLE IS

DIVIDED INTO

THREE EQUAL

PARTS,

AND OF COURSE

HERE, OUR DENOMINATOR

IS SIX BECAUSE

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 OFTEN

TIMES 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 THAT WE

HAVE THREE FRACTIONS

HERE THAT WE WANT

TO COMPARE.

He turns to point at the touch screen.

He continues NOW IF WE

LOOK AT IT,

WE HAVE TWO THIRDS,

ONE HALF AND

FIVE SIXTHS.

SO IN LOOKING

AT THAT, WHICH ONE

IS SMALLER?

IN 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, 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 BECAUSE

TWO ARE REPRESENTED

SO THAT

RIGHT THERE,

THAT GIVES US

A REPRESENTATION

OF WHAT TWO THIRDS

WOULD BE.

THEN WE

LOOK AT ONE HALF,

WHICH IS RIGHT

HERE.

OUR WHOLE IS

DIVIDED INTO

TWO EQUAL PARTS,

ONE IS REPRESENTED.

SO WE HAVE THAT

LEFT OVER,

AND WE LOOK

AT FIVE SIXTHS.

SO I TAKE THE

SIX,

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...

[Music playing]

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...

[Music playing]

THIS TWO THIRDS

ACTUALLY FITS

EQUALLY OVER AND

THERE'S ONE LEFT OVER.

[Music playing]

AND LOOK

AT THAT.

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,

TVO KIDS,

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 IN COMPARING

THAT AND

LOOKING AT

IT, WE ALSO SEE

THAT ALL BECAUSE THE

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

AND PLAY WITH IT,

AND SEE HOW IT WORKS.

I'M TEACHER TROY AND

I HOPE THAT HELPS.

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