(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.
OFTEN TIMES WHEN WE
TALK ABOUT FRACTIONS,
WE ALWAYS TALK ABOUT
THE DENOMINATOR,
AND THE
DENOMINATOR REFERS
TO HOW MANY EQUAL
PARTS THE WHOLE
IS
DIVIDED INTO.
BUT THE OTHER
IMPORTANT
PART OF THE
FRACTION IS ALSO
TALKING ABOUT THE
NUMERATOR,
HOW MANY EQUAL
PARTS ARE REPRESENTED.
WHAT ENDS UP HAPPENING
SOMETIMES
WHEN WE'RE
LOOKING AT FRACTIONS
AND WHEN WE SEE THE
NUMBER UP TOP,
WE DON'T REALLY
PAY IT TOO MUCH MIND.
WE'RE ALWAYS CONCERNED
ABOUT THE NUMBERS
IN THE BOTTOM
BECAUSE THOSE NUMBERS
TEND TO VARY IN SIZE
ALL THE TIME,
AND THE
DENOMINATOR,
ONCE THE PIECES
GET SMALLER,
WE KNOW
THE DENOMINATOR'S
GETTING LARGER.
SO WHAT ENDS UP
HAPPENING WHEN
YOU SEE
FRACTIONS WHERE THE
NUMERATOR'S
THE SAME?
HOW DO WE
COMPARE THEM?
SO WHAT WE'LL DO
IS WE'LL GIVE
YOU
AN EXAMPLE.
LET'S LOOK AT THE
SCREEN FOR
A SECOND
AND WHEN WE LOOK
AT THE
SCREEN,
WE SEE WE HAVE THREE
FRACTIONS, TWO THIRDS,
TWO HALVES AND
TWO SIXTHS.
NOW IF WE HAD
TO COMPARE THEM,
WE NOTICE THAT ALL
OF THEM HAVE
THE SAME
NUMERATOR.
SO WHEN OUR
DENOMINATORS
ARE
DIFFERENT,
WHAT DOES THAT
TELL US?
LET'S
LOOK AT IT.
SO IF WE REFER
BACK TO OUR
ORIGINAL
FOUR HEXAGONS.

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 WE KNOW THAT
WE HAVE
THE DENOMINATOR
OF ONE,
THE WHOLE IS DIVIDED
INTO ONE EQUAL PART.
THE WHOLE IS DIVIDED
INTO TWO EQUAL PARTS.
SO WE HAVE A TWO FOR
A DENOMINATOR.
THE WHOLE IS
DIVIDED INTO THREE
EQUAL PARTS
FOR THREE,
AND THE WHOLE
IS DIVIDED INTO
SIX EQUAL
PARTS.
SO IF WE LOOK
AT THE FIRST ONE,
TWO THIRDS, WE HAVE
TO GO HERE.

He takes out two pieces of the blue hexagon.

He continues WE TAKE
THOSE TWO THIRDS.
WE HAVE TWO PARTS
REPRESENTED.
THE WHOLE IS
DIVIDED INTO THREE
EQUAL PARTS, TWO
ARE REPRESENTED.

Now, he takes out the red hexagon.

He continues WE HAVE TWO
HALVES THAT TAKES
BASICALLY, IN
THIS CASE,
WHICH
FORMS A WHOLE,
AND WE HAVE
TWO SIXTHS,
WHEN WE
LOOK AT THAT.

He takes out two pieces of the green hexagon.

He continues RIGHT OFF THE BAT,
IF YOU HAD TO
COMPARE -
I'LL MOVE
THESE OUT OF THE WAY
JUST SO WE CAN
FOCUS ON THIS.
IF WE HAD TO
LOOK AT THAT,
YOU SEE RIGHT OFF
THE BAT THAT
TWO SIXTHS IS MUCH
SMALLER THAN TWO HALVES.
AND TWO THIRDS
FALLS JUST
RIGHT IN
THE MIDDLE.
ALL OF THEM HAVE
TWO PARTS THAT
ARE
REPRESENTED,
BUT WE SEE THAT THE
DENOMINATOR
ONCE AGAIN,
HOLDS A BIG DIFFERENCE
IN LOOKING AT,
YOU KNOW,
HOW MANY PARTS
ARE REPRESENTED, HOW
LARGE THE PIECES ARE.
SO EVEN THOUGH THE
NUMERATOR IS
THE SAME
IN EACH CASE,
IT'S VERY EASY
TO SEE THAT
THEY'RE NOT
EXACTLY THE SAME SIZE.
SO IT'S ALWAYS
IMPORTANT TO
REALLY TAKE
THAT TIME TO REALLY
LOOK AND
COMPARE.
ONCE YOU START PLAYING
WITH THE PATTERN BLOCKS,
OR ANY
MANIPULATOR THAT YOU USE,
IT WILL ALLOW YOU TO
SEE THE RELATIONSHIP
THAT EXISTS
BETWEEN NUMBERS.
I'M TEACHER TROY, AND
I HOPE THAT HELPS.