(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.