Transcript: Math Projects Grade 7 - In Class Assignment | Mar 31, 1999

A title reads “TVO’s Virtual Classroom. Get connected.” The “V” in “Virtual” is a tick, the “A” in “classroom” is an “at sign” with an extended loop that turns into a power cord with a plug at the end, and the first “O” in “classroom” is a spinning globe.
(Lively music plays)

Sitting in front of a blue-tinted, rustically finished wall at a desk behind a computer, Mister C., curly-haired and bearded in his forties, with glasses, wearing a white T-shirt with painted on suspenders and a print of a young man in a bowler hat, says
GOOD MORNING AND WELCOME
TO THE VIRTUAL CLASSROOM
THIS BEAUTIFUL, BEAUTIFUL
MONDAY MORNING.
WELL, YOU KNOW, EVERYTHING
DOESN'T WORK AS NEATLY
AS IT SHOULD SOMETIMES.
I HAD INTERESTING CAR
PROBLEMS, AND HOPING THAT
I CAN GET AWAY FROM
HERE LATER ON TODAY.
BUT THAT'S MY PROBLEM
AND NOT YOURS.
HOWEVER, I DO, AS ALWAYS, HAVE
A PROBLEM TO START US OFF WITH.
AND I'LL GO TO IT
RIGHT ABOUT NOW.
THERE WE GO.
HERE IT IS.
IT'S CALLED THE

On a blue-tinted sheet of paper titled “3 Boxes,” three square frames are respectively labelled “Nickels,” “Dimes” and “Nickels and Dimes.” Below them is a caption reading “Each box is labelled incorrectly. Choose exactly 1 coin to relabel the boxes properly!”

Mister C. continues THE THREE BOX PROBLEM.
WHAT WE HAVE ARE THREE
BOXES THAT ARE LABELLED. NICKELS, DIMES AND NICKELS AND DIMES.
EACH BOX IS LABELLED INCORRECTLY.
YOU'RE ALLOWED TO PUT YOUR
HAND INTO ONE OF THESE BOXES
AND CHOOSE ONLY ONE COIN.
HOW CAN YOU DO THAT IN SUCH
A WAY THAT YOU CAN RELABEL
ALL THE BOXES PROPERLY?
THAT IS TO SAY, PICK OUT
ONE COIN AND KNOW EXACTLY
WHAT THE CORRECT
LABELLING FOR THIS IS.
SO I'M INVITING
YOUR RESPONSES NOW.
WHAT BOX WOULD YOU GO TO?
WHAT WOULD YOU DO ONCE YOU
PICK A COIN OUT OF THAT BOX?
REMEMBER, EACH BOX IS
PRESENTLY LABELLED INCORRECTLY.
IT'S AN INTERESTING
LITTLE PROBLEM.
A LITTLE BIT OF LOGIC HERE.
AND I LOVE LOGIC PROBLEMS.
I KNOW LOTS OF PEOPLE ARE OUT
THERE SO I'D LOVE TO GET AN
ANSWER ON THIS ONE.
DON'T FORGET, THE
WAY YOU RING IS POUND 9,
AND WE'LL HAVE A
QUICK LITTLE CHAT.
NOW, WHICH ONE WOULD YOU GO
TO, AND ONCE YOU DO THAT,
WHAT WOULD YOU DO TO FIGURE
OUT THE CORRECT LABELLING
OF THE BOXES?
OKAY, SO THAT QUESTION
IS NOT A DIFFICULT ONE.
I'LL LET YOU THINK ABOUT IT
FOR JUST A MOMENT OR TWO MORE.
REMEMBER, HERE'S HOW IT GOES.
YOU'VE GOT THREE BOXES THAT
ARE LABELLED INCORRECTLY.
YOU MAY TAKE ONE COIN FROM ONE
BOX, AND THEN TRY TO RELABEL.
SO I'D LOVE TO HAVE AN
ANSWER FROM SOMEBODY.
I KNOW -- IT'S NOT A
TERRIBLY DIFFICULT QUESTION.
I'LL GIVE YOU, SAY, 20 SECONDS
TO THINK ABOUT IT, THEN I'LL
COME BACK, AND IF I DON'T
GET AN ANSWER, THEN I WILL,
PERHAPS, OFFER A SUGGESTION.
(PAUSE)
HELLO, AND IT LOOKS LIKE WE'RE
BACK, AND IT LOOKS LIKE WE
HAVE A CALL COMING IN FROM
HOMELANDS SO MAYBE WE HAVE A
SOLUTION TO THE PROBLEM.
SO WE'LL BE CONNECTED
IN A MOMENT OR TWO.
AND I THINK WE HAVE IT NOW.
SO HELLO, WHO AM
I SPEAKING TO?

Mister C. appears in a small rectangular frame at the bottom right of the picture.

A voice says MY NAME IS MOHAMMED.

Mister C. continues OH, HI, MOHAMMED.
WE'LL GO BACK TO
THE PICTURE AGAIN.
WHAT DO YOU THINK THE
ANSWER TO THIS QUESTION IS?
WHERE WOULD YOU GO,
AND WHAT WOULD YOU DO?

Mohammed says THE NICKELS ONE SHOULD BE
DIMES, THE DIMES ONE SHOULD BE
NICKELS, AND THE NICKELS AND
DIMES SHOULD BE QUARTERS.

Mister C. continues THAT WOULD BE A NICE ANSWER,
EXCEPT WE DON'T HAVE ANY
QUARTERS IN THERE.
NOW, REMEMBER WHAT
THE QUESTION WAS.
YOU CAN REACH IN
AND GRAB ONE.
SO THANK YOU VERY
MUCH, MOHAMMED.
I THINK, DO WE HAVE
ANOTHER CALL COMING IN?
YES, WE DO, FROM USBORNE.
SO WHAT WE'LL DO IS MAKE A
CONNECTION TO USBORNE, AND SEE
IF WE HAVE YET ANOTHER ANSWER.
AND IN A MOMENT OR TWO
WE SHOULD BE CONNECTED.
AND WE'LL SEE IF WE'VE
GOT A BETTER SOLUTION
THAN THE OTHER ONE.
REMEMBER, IT'S ONLY
NICKELS AND DIMES.
SO IN A MOMENT OR TWO
WE SHOULD BE FINE.
ONLY ONE COIN TO RELABEL
THE BOXES CORRECTLY.
IN A MOMENT OR TWO WE'LL
BE CONNECTED TO, I THINK,
EITHER ADAM OR MARSHALL.
HELLO, IS IT ADAM OR MARSHALL?

A voice says IT'S ADAM.

Mister C. says OKAY, ADAM, WHAT
WOULD YOU DO?

Adam says I DON'T KNOW.
I DIDN'T MEAN TO CALL IN.

Mister C. says YOU DIDN'T MEAN - HOLD
IT, STAY WITH ME, ADAM.
ARE YOU WILLING TO TAKE
A LITTLE BIT OF A RISK
AND HELP ME OUT WITH THIS?

Adam says PARDON?

Mister C. says ARE YOU WILLING TO TAKE
A LITTLE BIT OF A RISK
AND HELP ME OUT WITH THIS?

Adam says SURE.

Mister C. says OKAY.
NOW, HERE'S THE SITUATION.
YOU CAN PICK OUT ONE COIN.
WHICH ONE OF THOSE THREE
BOXES, IF YOU WERE GUESSING,
MIGHT YOU GO TO FIRST.

Adam says THIRD.

Mister C. says THE THIRD ONE,
THE NICKELS AND DIMES.
AND YOU'RE RIGHT ABOUT THAT.
SO YOUR LOGIC IS
ALREADY KICKING IN.
OKAY, SO WHAT YOU KNOW IN
THE NICKELS AND DIMES ONE IS
THERE'S ONLY EITHER NICKELS
OR DIMES, NOT BOTH, RIGHT?

Adam says RIGHT.

Mister C. says SO WHEN YOU REACH IN, YOU'RE
GOING TO KNOW WHAT THE LABEL
ON THAT BOX IS, AREN'T YOU?

Adam says YUP.

Mister C. says OKAY, SO LET'S SAY YOU
REACH IN AND GET A NICKEL.
SO YOU KNOW THIS
BOX HERE IS NICKELS.
HOW DOES THAT TELL YOU
WHAT THE OTHER TWO ARE.
THINK ABOUT IT FOR
A MOMENT OR TWO.
YOU'VE GOT JUST
NICKELS IN HERE.
LOOK AT THIS ONE, CAN DIMES
ALL BY THEMSELVES BE IN HERE?

Adam says YES.

Mister C. says NO, BECAUSE IT'S
LABELLED INCORRECTLY.

Adam says OH, DARN.

Mister C. says SO YOU SEE, IF THIS IS JUST
NICKELS, THAT CAN'T BE JUST
DIMES, DIMES HAS GOT
TO GO OVER THERE.
AND, THEREFORE, THIS ONE
IS NICKELS AND DIMES.
DO YOU FOLLOW ME ADAM?

Adam says YEAH.

Mister C. says OKAY.
AND THAT'S WHAT I WAS AFTER.
THANK YOU VERY, VERY
MUCH, ADAM, FOR YOUR HELP.
I'M GLAD YOU TOOK A LITTLE
BIT OF A RISK WITH ME.
OKAY, WHAT WE'RE GOING TO DO
AT THIS POINT IS I'VE GOT A
WHOLE BUNCH OF STUDENT WORK
THAT HAS BEEN SENT INTO ME,
AND WHAT I'M GOING TO DO IS
I'M GOING TO SHOW THE WORK.
I'M NOT GOING TO SPECIFY WHICH
SCHOOL PARTICULARLY, PARTLY
BECAUSE SOME OF THE FAXES
THAT CAME INTO ME, IT WASN'T
TOTALLY CLEAR WHICH
SCHOOL WAS WHICH.
BUT NONETHELESS, I'M GOING
TO SHOW YOU THE KINDS OF
WORK THAT WAS SENT IN BY
STUDENTS FROM A WHOLE
VARIETY OF SCHOOLS.
I THINK St. JOHN BREBEUF SENT
IN MATERIALS, USBORNE SENT
IN MATERIALS, HOMELAND SENT
IN MATERIALS, COLLEGE SENT
IN MATERIAL, SO WE'VE GOTH A LOT
OF DIFFERENT MATERIALS HERE.
SO LET'S START WITH THIS ONE.
THIS IS A STRAIGHTFORWARD ONE.

On a sheet of dot paper, a repetitive interlocking design shows geometrical figures looking somewhat like abstract alligators.

Mister C. continues IT'S VERY SIMILAR TO
THE ONE THAT I HAD.
AND IT'S DONE BY JOEL
BELIZE, I THINK IT IS.
SOMETIMES HARD TO
READ THE NAMES.

Another more complex one appears. The interlocking figures combining triangular, square and rectangular shapes are purely geometrical.

Mister C. continues THIS ONE IS A
SLIGHT VARIATION.
IF WE COULD ZOOM IN JUST A
LITTLE WEE BIT ON THIS ONE
AND SEE IF WE CAN GET
A LITTLE MORE DETAIL.
THAT'S BETTER.
YOU CAN BEGIN TO SEE THAT
THIS IS A SOMEWHAT DIFFERENT
PATTERN WHERE THEY'VE TAKEN A
SQUARE AND MOVED IT ACROSS HERE,
SO THIS IS A PAIR
OF TRANSLATIONS.
AND I THINK THIS IS CAROLYN.

Another one features interlocking white and shaded isosceles triangles facing opposite each other.

Mister C. continues THIS ONE IS THE BEGINNING
AT A TRIANGULAR FORM.
I'M NOT SURE EXACTLY
WHERE IT IS GOING.
WE COULD LOOK AT IT AS
MOVEMENT OF TRIANGLES, BUT I'M
NOT AS SURE WHERE
THAT ONE IS GOING.
THIS NEXT ONE I DON'T THINK WE
ARE GOING TO BE ABLE TO SEE
TOO WELL.

Interlocking figures composed of straight lines and curves are dimly visible.

Mister C. continues BUT IT'S DONE BY DANIELLE.
I JUST WANTED TO SHOW, IN
FACT, WE DID RECEIVE THE WORK.
I CAN BEGIN TO SEE THE IMAGES
IN THERE, BUT IT'S VERY
DIFFICULT TO SEE.
WE'VE GOT A COUPLE OF REALLY,
REALLY NICE ONES HERE.
THIS IS FROM ANDREW.

The interlocking figures resemble animals and are less geometric.

Mister C. continues THIS ONE IS GOING ALL THE
WAY TO ACTUALLY CREATING THE
FINAL ART PIECE, WHICH IS
WHAT I'M LOOKING FOR NEXT
TIME WE GET TOGETHER
IN TWO WEEKS.
YOU CAN SEE THAT, IN FACT,
THE REPLICATIONS ARE THERE.
THAT, IN FACT, EACH ONE IS BUILT
BEAUTIFULLY INTO THE NEXT.
IT'S A NICE, NICE
PIECE OF WORK.
AND I HOPE ANDREW TAKES THIS
PIECE OF WORK AND ACTUALLY
DOES THE ART PIECE ON THE
POSTER AND ADDS SOME COLOUR
AND SO ON TO IT.
IT LOOKS LIKE IT'S
GOING TO BE FABULOUS.
LIKEWISE, THIS ONE
IS VERY POWERFUL.

A dark line drawing shows faces with open mouths and flowing hair interlocking with each other.

Mister C. continues THERE'S BEEN SOME
TREMENDOUS WORK DONE HERE.
AGAIN, THIS IS A LITTLE BEYOND
WHAT I WAS LOOKING FOR
FOR THE FIRST ASSIGNMENT
BUT, AGAIN, I CAN SEE YOUR
TREMENDOUS CREATIVITY, AND
I'M LOOKING FORWARD TO SEEING
WHAT WILL BE ON
YOUR OVERALL POSTER.
AND THIS WAS HEATHER.
ALEX DID THIS ONE.

A sketch shows birds in a natural-looking flight pose interlocking with each other.

Mister C. continues LIKEWISE, THIS IS
VERY ESCHER-LIKE.
VERY NEAT HOW THE
TRANSFORMATIONS ARE DONE HERE.
IT LOOKS LIKE YOU TAKE THIS
AND IT'S ROTATED AROUND.
SO THAT'S A ROTATION
ABOUT A VERTEX.
VERY, VERY, VERY NICE.
THAT'S ONE SCHOOL.
NOW, I'M GOING TO
SHOW YOU SOME MORE.
WE'VE GOT TONS OF THEM.
HOMELANDS, I KNOW FOR A FACT
THIS COMES FROM HOMELANDS.

A drawing features a design in black combining rectangles and triangles interlocking with the same design in gray. He flips through other drawings in quick succession.

Mister C. continues I'M TRYING TO SEE IF I CAN
FIND THE NAME OF THE STUDENT
ON THIS ONE.
I'M NOT 100 PERCENT SURE.
THIS ONE IS AMANDA, BUT I CAN'T
SEE THE DETAIL BECAUSE THE
FAX CAME THROUGH, AND
LIKEWISE WITH THIS ONE
FROM LAURA.
BUT I CAN SEE THAT
THE ESSENCE IS THERE.
THE PROBLEM IS SOMETIMES THE
FAXES DON'T COME THROUGH
TERRIBLY WELL.
THIS ONE IS A LITTLE
BIT MORE OBVIOUS.
IT'S BASICALLY A REPLICATION
OF WHAT WAS IN THE EXERCISE.
IT'S VERY NICELY DONE, AND I
THINK, I CAN'T READ THE NAME,
I'M SORRY.
LAURA DID THIS ONE.
AGAIN, A NICE PIECE
WITH TRIANGLES.
ONCE AGAIN, I HAVEN'T GOT A
NAME ON THIS ONE BUT, AGAIN,
A SIMILAR PIECE TO WHAT
WAS IN THE EXERCISE.
AND I'M JUST GOING THROUGH
THESE TO SHOW YOU THAT,
IN FACT, I RECEIVED THEM.
THIS IS A VERY NICE ONE
INVOLVING TRANSLATIONS.

The drawing features an interlocking gray and white design based on repetitive geometrical figures.

Mister C. continues AND I'M TRYING TO, AGAIN,
SEE THE NAME ON THIS ONE.
AND, UNFORTUNATELY,
I DON'T SEE IT.
THIS ONE INVOLVES
ROTATIONS ABOUT A VERTEX.
A VERY NICE ONE.
AND I THINK THIS
IS ANDREW HOLMES.
SO THAT'S A VERY
NICE ONE, AS WELL.
ERICA DID THIS ONE.
AGAIN, STRONG.
THIS IS A ROTATION ABOUT
THE CENTRE ON AN EDGE.
THIS ONE, I CAN'T
READ THE NAME AGAIN.
BUT, AGAIN, I SEE A GLIDE
REFLECTION IN THIS
PARTICULAR CASE.
YOU CAN SEE IT IS LABELLED
AS A GLIDE REFLECTION.
THIS IS A VERY,
VERY NICE PIECE.

A drawing creates a very effective design of interlocking gray and white figures combining straight lines and curves, resembling masked individuals facing each other

Mister C. continues AND LAST IN THIS GROUPING,
THIS ONE IS DONE BY
YING BO AND TAZIRA.
AND IT'S A VERY, VERY
NICE GLIDE REFLECTION.
NOW, AT THIS MOMENT, I
ACTUALLY HAVE FOUR THAT ARE
SET UP ON OUR COMPUTER, AND
WE'RE GOING TO GO TO THE FIRST
ONE WHICH IS FROM USBORNE.

The drawing shows interlocking parallelograms in orange and blue, creating a checkerboard pattern of diagonal lines.

Mister C. continues THIS PIECE WAS DONE BY ERIN.
WHAT'S REALLY, REALLY NICE
IN THIS PARTICULAR ONE IS
THE COLOUR PATTERNS.
I'M TAKING A LOOK AT
THIS FROM A DISTANCE.
I LIKE WHAT'S GOING ON HERE.
IT'S NOT TOO COMPLICATED
AROUND THE EDGE YET,
BUT I SUSPECT IT WILL
GET THAT WAY SHORTLY.
LET'S GO TO THE SECOND ONE.

The pattern shows stylized flying birds in blue and pink.

Mister C. continues THIS ONE IS A VERY NICE ONE.
IT INVOLVES - I'M TRYING
TO PICK OFF EXACTLY WHICH
TRANSFORMATIONS ARE GOING ON.
I SEE A TRANSLATION FOR
SURE; I SEE A ROTATION ABOUT
A CORNER FOR SURE.
THIS ONE LOOKS LIKE IT'S
EVOLVING INTO SOMETHING THAT'S
GOING TO BE REALLY VERY NICE.
SO WELL DONE, JULIE.

Another one is poorly visible.

Mister C. continues THIS ONE, UNFORTUNATELY, IS NOT
AS BRIGHT AS THE OTHER ONES.
IT'S HARD TO SEE.
BUT YOU CAN BEGIN TO SEE
THE FORM OF THE ANIMALS.
AND WHAT YOU'RE GETTING
INTO ON THIS ONE, YOU SEE A
DEFINITE TRANSLATION, BUT YOU
ALSO SEE A ROTATION ABOUT
THE CENTRE ON AN EDGE.

Another drawing shows interlocking flattened hexagons. Pink ones in horizontal lines and blue ones in vertical lines, separated by white squares.

Mister C. continues AND THAT LOOKS LIKE IT'S
GOING TO COME ALONG
JUST BEAUTIFULLY.
AND LIKEWISE THIS ONE.
WHAT I'D LIKE TO SAY AT THIS
POINT IS THE AMOUNT OF WORK
YOU SENT IN WAS JUST FABULOUS,
AND I'M VERY, VERY PLEASED
BECAUSE IT SHOWS YOU'VE TAKEN
THIS PROJECT QUITE SERIOUSLY
AND YOU'VE WORKED REALLY,
REALLY HARD ON IT.
WHAT I'M REALLY LOOKING
FORWARD TO COMING DOWN THE
PIPE IS YOUR POSTERS.
AND, OF COURSE, I WILL REMIND
YOU AT THE END OF THE PROGRAM
THAT YOU HAVE TO HAVE THEM
INTO YOUR TEACHER BY APRIL 6th,
AND YOU AND YOUR PARTNER,
HOPEFULLY WE CAN PHOTOGRAPH AS
MANY OF THOSE PEOPLE USING
DIGITAL CAMERAS AS WE CAN.
AND NEXT TIME WE GET TOGETHER,
WHICH IS TWO WEEKS FROM NOW,
WE WILL SHOW AS MANY SAMPLES
OF THE STUDENT WORK AS
POSSIBLE, AND INVITE YOU TO
TALK ABOUT YOUR OWN WORK.
SO WE'RE LOOKING
FORWARD TO THAT.
NOW, TODAY, WHAT I DECIDED
TO DO IS TO DO BASICALLY
A SHORT QUIZ.
AND THE REASON I WANT TO DO
THIS IS I WANT TO MAKE SURE
THAT YOU RECOGNIZE THE FOUR
DIFFERENT TRANSFORMATIONS AND
BE ABLE TO IDENTIFY THEM.
IF YOU ARE GOING TO DO ESCHER
ART, THEN YOU HAVE TO HAVE
THAT SENSE OF WHAT EACH ONE
OF THE TRANSFORMATIONS IS,
AND THEN TAKE
ADVANTAGE OF IT.
NEAR THE END OF THE PROGRAM,
SOME STUDENTS HAVE ALREADY
SHOWN THEY HAVE BEEN ABLE TO
USE THE DIFFERENT KINDS OF
TRANSFORMATIONS TO CREATE
IMAGES WHICH ARE BEGINNING
TO APPROACH THOSE
ANIMALS AND SO ON.
SO WE'RE GOING TO START THE
QUIZ WITH QUESTION NUMBER ONE.
HERE IS QUESTION NUMBER ONE -

A blue sheet of paper titled “Question Number 1” shows a square with a cutout in a lateral side, and a similar piece added in a rotated position on the bottom side. The multiple-choice options read, from A. through D. - Translation, Rotation About a Vertex, Rotation About the Centre of an Edge and Glide Reflection.”

Mister C. continues WHAT I'D LIKE YOU TO DO AT
THIS POINT IS PRESS ONE IF
YOU THINK THE ANSWER IS
A) A TRANSLATION.
SO WHAT YOU ARE DOING IS
LOOKING AT THIS OBJECT.
SO PRESS ONE IF YOU THINK
THE ANSWER IS A TRANSLATION.
PRESS TWO IF YOU THINK
IT IS A ROTATION
ABOUT A VERTEX.
PRESS THREE, IF YOU THINK
IT'S A ROTATION ABOUT
THE CENTRE OF AN EDGE.
OR PRESS FOUR, IF YOU THINK
IT'S A GLIDE REFLECTION.
NOW, I'M GOING TO TELL YOU
WHILE THIS IS GOING ON AND YOU
ARE ANSWERING, THAT WHAT I AM
GOING TO DO IS TAKE THE OVERALL
RESULTS, NOT INDIVIDUAL
RESULTS, AND I WILL BE SHOWING
THE RESULTS IN
OUR LAST PROGRAM.
SO RIGHT NOW I'M SORT OF
TAKING A LOOK AT HOW THE
GRAPHS ARE GROWING, AND I CAN
SEE WE HAVE LOTS OF ANSWERS.
AND IN A MOMENT OR TWO WE WILL
GO TO QUESTION NUMBER TWO,
BUT NOT QUITE YET.
LOTS AND LOTS OF
ANSWERS COMING IN.
AND IT LOOKS REALLY,
REALLY GOOD.
AT THE END OF THE QUIZ,
I WILL TAKE UP THE
INDIVIDUAL QUESTIONS.
OKAY, LET US NOW GO TO
QUESTION NUMBER TWO.
SO WE'RE GOING TO CLEAR THE
SLATES, AND WE'RE GOING NOW
TO QUESTION NUMBER TWO -
AND HERE IT IS.

A new sheet of paper titled “Question Number 2” shows a T-shaped cutout and the piece added in the same position on the opposite side of the square. the options listed are A. Translation, B. Rotation about a Vertex, C. Rotation about the centre of an Edge and D. Glide Reflection.

Mister C. continues OKAY, DO NOT ANSWER
FOR A MOMENT OR TWO.
WE'RE GOING TO CANCEL THE
QUESTION AND START AGAIN.
SO WAIT UNTIL YOU SEE THE
QUESTION BEFORE YOU START
TO ANSWER.
OKAY, I THINK WE'RE
SET AND READY TO GO:
NOW TAKE A LOOK
AT THIS ONE.
ANSWER ONE IF YOU THINK
IT'S A TRANSLATION.
IF YOU THINK IT'S A ROTATION
ABOUT A VERTEX, ANSWER TWO.
ROTATION ABOUT THE CENTRE
OF AN EDGE, ANSWER THREE.
IF YOU THINK IT'S A GLIDE
REFLECTION, ANSWER FOUR.
AND WHEN WE GET UP TO ABOUT
75 PERCENT, I'LL GET A LITTLE
CUE HERE, AND WE'LL PREPARE
FOR THE NEXT QUESTION.
OKAY, WE HAVE PLENTY OF
ANSWERS, SO WE'RE GOING TO
STOP THAT ONE AND
SET UP THE NEXT ONE.
AND HERE'S THE NEXT ONE -

Another sheet of paper titled “Question Number 3” shows a cutout on one side of a rectangle and the piece added on the other side in a flipped position. The options are the same as in the previous question.

Mister C. continues IF YOU THINK THIS ONE IS A
TRANSLATION, ANSWER ONE.
ROTATION ABOUT A VERTEX --
NOTICE I'M KEEPING THESE
ALL THE SAME EACH TIME.
ANSWER TWO.
ROTATION ABOUT THE CENTRE
OF AN EDGE, THREE.
AND IF YOU THINK IT'S A GLIDE
REFLECTION, PLEASE ANSWER D.
WELL DONE, FOLKS.
YOU'RE ANSWERING
QUICKLY AND EFFICIENTLY.
I'M SEEING YOUR RESULTS
AS WE GO ALONG HERE.
THAT'S WHY MY EYE IS
OFF TO THE SIDE HERE.
OKAY, WE'RE GOING TO
KILL THAT QUESTION.
WE'RE GOING ON TO
QUESTION NUMBER FOUR.
HERE IT IS -

Another sheet of paper titled “Question Number 4” shows a cutout on one side of a rectangle and the piece added on the same side in a rotated position. The options are the same as in the previous question.

Mister C. continues WHAT DO YOU THINK
THIS ONE IS?
TRANSLATION, ROTATION
ABOUT A VERTEX,
ROTATION ABOUT THE
CENTRE OF AN EDGE,
OR A GLIDE REFLECTION?
REMEMBER THAT I WILL SHOW THE
OVERALL RESULTS TO YOU WHEN
WE COME BACK IN TWO WEEKS,
JUST SO WE KNOW, ON AVERAGE,
HOW MANY PEOPLE ARE ANSWERING
THESE QUESTIONS CORRECTLY.
OKAY, WE'RE MOVING UP IN
NUMBERS PRETTY QUICKLY
ON THIS ONE, AS WELL.
YOU'VE GOT FOUR MORE
QUESTIONS TO GO AFTER THIS.
LOOKS LIKE WE MUST BE IN
THE 80 PERCENT RANGE.
OKAY, AND WE'RE ABOUT
TO GO TO QUESTION FIVE.
HERE IT IS.

Another sheet of paper titled “Question Number 5” contains only text and no diagram, which is replaced by two Canadian flags, the first in horizontal and the second in vertical position. The options are the same as in the previous question.

Mister C. continues NOW, NOTICE THIS TIME I
DIDN'T GIVE YOU A FRAME
OF REFERENCE.
SO TAKE A LOCK AT
THOSE TWO FLAGS.
DID I DO A TRANSLATION,
ROTATION ABOUT A VERTEX,
ROTATION ABOUT AN EDGE,
OR A GLIDE REFLECTION?
THERE SHOULD BE ENOUGH
INFORMATION THERE
TO TELL YOU
WHICH ONE IT IS.
AND, AGAIN, WE'VE GOT
LOTS OF RESPONSES.
I SUSPECT WE ARE PROBABLY
IN THE 80 PERCENT.
OKAY, WE'RE GOING ON
NOW TO QUESTION SIX.
WE'LL KILL THAT ONE.

Another sheet of paper titled “Question Number 6” contains only text and no diagram, which is replaced by two Australian flags, One above the other, with the bottom one reversed from left to right. The options are the same as in the previous question.

Mister C. continues LIKEWISE, WITH THESE THINGS.
WHICH OF THOSE 4 IS IT?
TRANSLATION, ROTATION
ABOUT A VERTEX,
GLIDE REFLECTION
IS NUMBER FOUR,
ROTATION ABOUT THE
CENTRE OF AN EDGE IS
NUMBER THREE.
AGAIN, I SEE SOME REALLY,
REALLY GOOD RESULTS.
I'M QUITE PLEASED ABOUT
WHAT I SEE, SO FAR.
OKAY, WE ARE JUST ABOUT
TO GO TO QUESTION SEVEN,
SO WE'LL KILL THAT ONE.

Another sheet of paper titled “Question Number 7” contains only text and no diagram, which is replaced by two framed drawings of a skidding car, the one at bottom left upside down. The options are the same as in the previous question.

Mister C. continues WE'VE GOT A COUPLE OF
CALLERS ON THE LINE NOW.
I'LL TAKE THAT AT THE END
OF THE EIGHTH QUESTION
SO HANG ON THERE.
WHAT DO YOU THINK
THIS ONE IS?
A TRANSLATION, A
ROTATION ABOUT A VERTEX,
ROTATION ABOUT THE
CENTRE OF AN EDGE,
OR A GLIDE REFLECTION?
OKAY, THIS ONE IS
CONTROVERSIAL,
AND I CAN SEE WHY.
SO THAT ONE WE'RE GOING
TO HAVE A CHAT ABOUT.
THAT'S EXCELLENT.
AND WE'RE GOING ON TO QUESTION
EIGHT, AND HERE IT IS.

Another sheet of paper titled “Question Number 8” contains only text and no diagram, which is replaced by two stylized rabbits on their side and horizontally placed one after the other. The options are the same as in the previous question.

Mister C. continues KNOWING EASTER IS COMING UP
SOON, THIS IS A LITTLE BIT
OF AN EASTER THEME,
I WOULD SAY, ALMOST.
AND IT LOOKS LIKE WE
ARE PROBABLY CLOSE TO
80 PERCENT AGAIN.
OKAY, SO WE'RE GOING TO
CONNECT TO THE FIRST CALLER
AND TAKE A QUESTION OR A -
HELLO, STUDENT FROM St. PETER'S,
I PRESUME? HELLO?
WOULD YOU PICK UP YOUR PHONE,
PLEASE, AT St. PETER'S?
OKAY, WE HAVE A SECOND CALLER
AT USBORNE, AND WE'LL TAKE
THAT CALL.
THEN WHAT WE'RE GOING TO DO
IS WE'RE GOING TO TAKE UP THE
QUIZ, AND I'LL INVITE YOU
TO TELL ME WHAT THE CORRECT
ANSWER IS, AND VERY QUICKLY
TAKE IT UP SO YOU KNOW
WHETHER YOU'VE GOT THE
CORRECT ANSWER OR NOT.

A voice says HELLO.

Mister C. says HELLO, IS IT
CHRIS OR JULIAN?

Julian says JULIAN.

Mister C. says JULIAN, DO YOU
HAVE A QUESTION?

Julian says WHEN ARE YOU GOING TO
ANSWER THE QUESTION?

Mister C. says I'M GOING TO GO THROUGH ALL
THE QUESTIONS RIGHT NOW.
RIGHT BACK TO QUESTION
NUMBER ONE AND GIVE YOU
THE ANSWERS, OKAY?

Julian says OKAY.

Mister C. says OR GET YOU TO ACTUALLY
RESPOND, OKAY?
I THINK WHAT WE'RE GOING TO
DO IS BEFORE WE TAKE ANOTHER
CALL, WE'RE GOING TO GO BACK
TO QUESTION NUMBER ONE, AND
I'VE GOT IT SET UP UNDER HERE,
SO THAT'S ALL SET AND READY
TO GO.

Question one appears again.

Mister C. says AND WHAT I'M GOING TO DO IS
INVITE SOMEBODY TO CALL IN NOW
AND TELL ME WHAT THE
CORRECT ANSWER IS,
AND I WILL CONFIRM OR DENY.
SO PHONE IN NOW IF YOU KNOW
THE CORRECT ANSWER TO THIS ONE.
AND WE'VE GOT A
CALL COMING IN.
I THINK IT'S FROM COLLEGE.
THAT'S GREAT.
LET ME KNOW WHICH ONE OF
THOSE ANSWERS IS CORRECT.
IN A MOMENT OR TWO WE
SHOULD BE CONNECTED.
NOW, REMEMBER, WHAT'S GOING TO
HAPPEN HERE, ONCE I HAVE THE
CORRECT ANSWER, I'M
GOING ON TO QUESTION TWO.

A voice says HELLO.

Mister C. says HELLO, AND
YOUR NAME IS?

Chris says CHRIS.

Mister C. says HI, CHRIS.

Chris says HELLO.

Mister C. says WHAT'S THE CORRECT
ANSWER TO THIS ONE.

Chris says C.

Mister C. says A ROTATION ABOUT
THE CENTRE OF AN EDGE.
NOW, DO YOU REMEMBER HOW
THOSE ROTATIONS WORK?
IT IS A ROTATION.
IT'S ONLY A QUESTION WHETHER
IT'S B OR C RIGHT NOW?

Chris says IT WOULD BE B THEN.

Mister C. says IT WOULD BE B BECAUSE IT'S
ABOUT THAT CORNER, ISN'T IT?

He points to the bottom right corner.

Chris says YEAH.

Mister C. says SO THE CORRECT ANSWER
IS B FOR EVERYBODY.
THANK YOU VERY MUCH, CHRIS.
AND MOST PEOPLE DID SAY B, SO
WE'RE IN PRETTY GOOD SHAPE.

Question two comes up.

Mister C. says LET'S GO TO QUESTION TWO.
IF YOU KNOW THE ANSWER TO
THIS ONE, I CAN SEE ALL KINDS
OF HANDS UP.
HOPEFULLY YOU CAN GIVE ME THE
CORRECT ANSWER TO THIS ONE.
SO QUESTION NUMBER TWO.
HELLO, SOMEBODY FROM
USBORNE, YOUR NAME IS?

Adam says ADAM.

Mister C. says HI, ADAM AGAIN.
CAN YOU TELL ME, WHICH
IS THE CORRECT ANSWER?

Adam says PARDON?

Mister C. says WHAT'S THE CORRECT ANSWER
FOR QUESTION NUMBER TWO.

Adam says I THINK IT'S B.

Mister C. says IS IT B?
DO YOU SEE A ROTATION?

Adam says A, I MEAN.

Mister C. says YOU THINK IT'S A,
DID I HEAR YOU SAY?
I DIDN'T HEAR YOUR ANSWER.

Adam says A.

Mister C. says A, OKAY, A IS RIGHT.
IT'S A TRANSLATION DIRECTLY.
THIS LITTLE CHUNK HAS
JUST BEEN SLID DOWN HERE.
SO THANK YOU VERY MUCH, AND
THAT IS THE CORRECT ANSWER.
THAT IS AN A.
GOING TO QUESTION
NUMBER THREE.

Question three appears.

Mister C. says OKAY, WHAT ONE IS THIS ONE?
AND WE HAVE AN ANSWER
COMING IN FROM COLLEGE.
AND WE'LL BE CONNECTED
IN A MOMENT OR TWO.
DON'T FORGET TO PICK UP
YOUR PHONE WHEN YOU HEAR
THE RING-BACK.
YEAH, THERE ARE A LOT OF CALLS
COMING IN SO IT'S TAKING A
MOMENT OR TWO FOR THE
SATELLITE TO SORT IT ALL OUT.
YOU KNOW HOW IT IS.
TECHNOLOGY IS
KIND OF LIKE THIS.
SO WE SHOULD GET A CALL
IN JUST A MOMENT OR TWO.
I WONDER WHICH
ONE THIS ONE IS.
AH, WE HAVE SOMEBODY
ON THE LINE.
AND WHO IS THAT?

Craig says THIS IS CRAIG.

Mister C. says HI, CRAIG.
WHAT'S THE ANSWER
TO THIS ONE?

Craig says IT'S D, A GLIDE
REFLECTION.

Mister C. says RIGHT ON.
AND IF YOU GOT GLIDE
REFLECTION FOR THIS ONE,
THEN YOU ARE RIGHT.
THANK YOU VERY MUCH.
WE'LL GO ON TO
QUESTION NUMBER FOUR.

Question four appears.

Mister C. continues AND WE SHOULD BE ABLE TO
CONNECT TO SOMEBODY ELSE.
WE'VE GOT TONS OF HANDS UP.
THIS IS JUST GREAT.
AND WE'RE CONNECTING
TO USBORNE.
AND IT LOOKS LIKE
JANELLE OR STACIE.
I WONDER WHICH
ONE THIS ONE IS?
TAKES A MOMENT OR
TWO TO CONNECT.
YOU JUST HAVE TO BEAR WITH US.
AH, THERE THEY ARE.

A voice says HELLO.

Mister C. says WHO AM I TALKING TO?

Janelle says THIS IS JANELLE.

Mister C. says HI, JANELLE.
WHICH ONE IS THIS ONE?

Janelle says I THINK IT'S C.

Mister C. says ROTATION ABOUT THE CENTRE
OF AN EDGE, AND YOU ARE
ABSOLUTELY RIGHT.
THIS SWINGS RIGHT AROUND
THAT SPOT ABOUT THERE,
AND INTO THIS SPACE.
WELL DONE.
QUESTION NUMBER FIVE.

Question five appears.

Mister C. says AND WE'LL TAKE
ANOTHER ANSWER HERE.
AND I THINK WE'RE
GOING TO St. JOHN.
St. JOHN BREBEUF, I
BELIEVE, ISN'T IT?
SO I WONDER WHICH
ONE THIS ONE IS.
THERE IS ONE THAT'S
CONTROVERSIAL, AND I'VE GOT
A FEELING THERE'S ONE THAT
HAS MORE THAN ONE ANSWER,
BUT THIS ONE DOES NOT.
SO WE'LL BE CONNECTED IN JUST
A MOMENT OR TWO TO SOMEBODY
FROM St. JOHN BREBEUF.
WONDER WHICH ONE THIS IS.

A voice says HELLO.

Mister C. says HELLO, YOUR NAME IS?

Annie says ANNIE.

Mister C. says HELLO, ANNIE.
IT IS St. JOHN
BREBEUF, RIGHT?

Annie says YEAH.

Mister C. says OKAY, GREAT.
WHAT IS THE ANSWER
TO THIS ONE?

Annie says C.

Mister C. says ROTATION ABOUT THE
CENTRE OF AN EDGE.
NOW, I WANT TO GO BACK TO ONE
THAT IS A ROTATION ABOUT A
CENTRE OF AN EDGE
IF YOU DON'T MIND.
ARE YOU STILL WITH ME?

Annie says YEAH.
IT WAS B.

Mister C. says IT'S B.
IT'S A ROTATION
ABOUT THE VERTEX.
SO IF YOU CAN IMAGINE
THE VERTEX THERE,
IT'S ONLY ROTATED 90 DEGREES.
WHEN YOU ARE ON AN EDGE, IT
ROTATES HOW MANY DEGREES,
DO YOU KNOW?

Annie says UM, PARDON?

Mister C. says IT'S NOT 90.
IT'S ACTUALLY MUCH
MORE THAN 90, IT'S 180.
IF YOU LOOK AT THIS ONE,
NOTICE THIS PIECE, IT ROTATED
ALL THE WAY AROUND
180 DEGREES.
AND THIS IS A ROTATION ABOUT
THE CENTRE OF AN EDGE, RIGHT?

Annie says YEAH.

Mister C. says OKAY, SO IT'S A
ROTATION ABOUT A VERTEX.
THANK YOU VERY MUCH.
AND THAT'S THE CORRECT ANSWER.
PART B.
NUMBER SIX.

Question six appears.

Mister C. says WHAT HAVE WE GOT
IN THIS ONE?
I DON'T THINK THIS ONE
IS CONTROVERSIAL EITHER.
I DON'T THINK THIS ONE'S
CONTROVERSIAL AT ALL.
SO THIS ONE SHOULD BE
FAIRLY STRAIGHTFORWARD.
AND WE'VE GOT A CALL
COMING IN FROM COLLEGE.
AND WE'LL BE CONNECTING
THERE IN A SECOND OR TWO.

A voice says HELLO?

Mister C. says HELLO, WHO AM
I SPEAKING TO?

Sheesh says SHEESH.

Mister C. says CAN YOU TELL ME WHICH ONE OF
THESE FOUR IS THE ANSWER TO
THIS QUESTION?

Sheesh says I'D SAY IT'S A
GLIDE REFLECTION.

Mister C. says ABSOLUTELY.
IT'S GLIDED.
IT'S COME DOWN HERE, AND
IT'S REFLECTED HORIZONTALLY,
RIGHT?

Sheesh says RIGHT.

Mister C. says WELL DONE.
THANK YOU VERY MUCH.
GLIDE REFLECTION IS CORRECT.
QUESTION NUMBER SEVEN.

Question seven appears.

Mister C. says PHONE IN AND LET ME KNOW WHICH
ONE YOU THINK THIS ONE IS.
THIS IS AN
INTERESTING QUESTION.
I'M SORT OF THINKING
ABOUT THE POSSIBILITIES.
AND WE'VE GOT SOMEBODY
FROM TRILLIUM.
IS IT CHRIS?

Chris says YES.

Mister C. says HI, CHRIS.
WHAT DO YOU THINK
THIS ONE IS?

Chris says A FLIP?

Mister C. says YOU THINK IT'S A FLIP, WHICH
WOULD BRING YOU DOWN TO
THIS ONE HERE, THE
GLIDE REFLECTION.
A REFLECTION IS
A FLIP, RIGHT?

Chris says NO, B.

Mister C. says YOU THINK IT'S A
ROTATION ABOUT A VERTEX.

Chris says YES.

Mister C. says OKAY.
THAT'S NOT QUITE CORRECT.
IT'S EITHER C OR D.
YOU'VE GOT TWO POSSIBLE
ANSWERS HERE, C AND D.
ONE I INTENDED, AND
ONE I'M THINKING ABOUT.
THANK YOU VERY MUCH, CHRIS.
I'M GOING TO TRY TO CONNECT
TO SOMEBODY ELSE AND SEE
WHAT THEY THINK ABOUT
THIS ONE BECAUSE IT'S
A BIT CONTROVERSIAL.
AND WE'RE GOING TO CONNECT
TO SOMEBODY FROM USBORNE.
I THINK IT'S MATT OR JUSTIN.
SO BE PREPARED, EITHER
MATT OR JUSTIN.
I WONDER WHICH
ONE THIS ONE IS.
HELLO, AM I SPEAKING
TO MATT OR JUSTIN?

A voice says HELLO?

Mister C. says HI.
WHO AM I SPEAKING TO,
MATT OR JUSTIN?

Justin says JUSTIN.

Mister C. says OKAY, JUSTIN, WHAT
DO YOU THINK IT IS?

Justin says D.

Mister C. says YOU THINK IT'S A
GLIDE REFLECTION.
AND YOU KNOW SOMETHING, I
CAN'T ARGUE WITH YOU BECAUSE
IF YOU GLIDE IT THIS WAY, AND
REFLECT IT DOWN, IT WOULD BE
A GLIDE REFLECTION.
WHAT'S THE OTHER
POSSIBLE ANSWER?

Justin says B?

Mister C. says NOT B.
BECAUSE IT'S NOT
A 90 DEGREE TURN.
IT'S 180 DEGREES.
IT CAN ONLY BE THIS ONE.
SEE ROTATION ABOUT A CENTRE?
NOTICE IT'S TURNED
180 DEGREES.
SO IF YOU IMAGINE A POINT
THERE, IT'S BEEN ROTATED 180.
IS THAT OKAY, JUSTIN?

Justin says YEAH.

Mister C. says OKAY, QUESTION NUMBER
EIGHT AND WE'RE FINISHED.

Question eight appears.

Mister C. says IF YOU KNOW THE ANSWER TO THIS
ONE, HOPEFULLY WE'RE GOING TO
CONNECT TO THE RIGHT PERSON.
AND RIGHT NOW, WE'RE MAKING
OUR FINAL CONNECTION.
THEN I'LL DO A VERY SHORT
LESSON, AND WE ARE AWAY
TO THE RACES.

A voice says HELLO?

Mister C. says HI.
YOUR NAME IS?

Sarah says SARAH.

Mister C. says OKAY, CAN YOU TELL ME
WHICH ONE THIS ONE IS?

Sarah says A.

Mister C. says ANSWER IS A. ABSOLUTELY.
IT'S JUST TRANSLATED
OVER, ISN'T IT?
EVEN THOUGH I PUT THE
BUNNY ON ITS SIDE, RIGHT?
IT'S A TRANSLATION. FANTASTIC.
OKAY, AT THIS POINT, I'M GOING
TO TAKE A COUPLE OF MOMENTS,
AND I'M GOING TO JUST SORT
OF REINFORCE WHAT I WANT
FOR THE POSTER NEXT WEEK.
AND I SHOULDN'T SAY NEXT
WEEK, IT'S TWO WEEKS.
I'VE GOT TO KEEP REMEMBERING
WE DO HAVE A BREAK ON EASTER
MONDAY, SO WE WON'T BE HERE.
SO TWO WEEKS FROM NOW IS WHEN
WE ARE ACTUALLY GOING TO
LOOK AT THE WORK.
NOW, REMEMBER THE POSTER
INCLUDES SAMPLES OF EACH OF
THE FOUR TRANSFORMATIONS.
REMEMBER, TRANSLATION, GLIDE
REFLECTION, ROTATION ABOUT
VERTEX, ROTATION ABOUT
THE CENTRE OF THE EDGE.
BUT THEN IN THE CENTERPIECE,
YOU'RE SUPPOSED TO TRY
TO CREATE AN
ESCHER-LIKE DRAWING.
AND WHAT I WANT TO DO IS,
FIRST OF ALL, DO A QUICK
DEMONSTRATION OF HOW YOU
MIGHT BUILD ONE OF THOSE
ESCHER-LIKE DRAWINGS, SHOW
YOU A SAMPLE OR TWO FROM THE
BOOK I SHOWED YOU LAST WEEK,
AND THEN SHOW YOU THAT
SELF-PORTRAIT I PROMISED YOU
WHERE HE IS SOMEWHAT OLDER
WHEN HE ACTUALLY DOES
HIS SELF-PORTRAIT.
SO WE'RE GOING TO GO TO
THIS, WHAT I CALL “THE MAN.”

Under the title and a caption that reads “Stage Number One,” a drawing shows a rectangle with a cutout at the bottom and the addition at the top.

Mister C. continues AND WHAT I'D LIKE YOU TO
DO IS NOTICE HOW I'VE TAKEN
THIS PIECE HERE, AND I'VE
DONE SOMETHING WITH IT.
WHAT TRANSFORMATION HAVE
I USED HERE WITH “THE MAN?”
PHONE IN AND TELL ME
WHAT DID I DO FIRST?
DOESN'T LOOK LIKE MUCH
OF A MAN, DOES IT?
BUT I'VE CALLED IT
“THE MAN.”
WE'VE GOT A CALL
COMING IN HERE.
I DIDN'T START WITH AN
ABSOLUTE RECTANGLE EITHER.
IT'S A BIT OF A - WELL, IT IS
A PARALLELOGRAM, BUT IT'S NOT
CERTAINLY AN
ABSOLUTE RECTANGLE.
SO STARTED A LITTLE BIT
DIFFERENTLY WITH THIS ONE.
AND YOU'LL SEE WHY
IN A MOMENT OR TWO.
HELLO, IS IT NICK OR CODY?

Nick says IT'S NICK.

Mister C. says OKAY, NICK, WHAT
TRANSFORMATION DID I USE
WITH THIS PIECE RIGHT HERE?

Nick says A TRANSLATION.

Mister C. says A TRANSLATION, RIGHT ON.
THANKS, NICK.
SO THAT'S STAGE ONE AND
I DO SOMETHING LIKE THAT.
NOW, I'M GOING TO SHOW
THESE STAGES INDEPENDENTLY.
I'M GOING TO ASK YOU
WHAT I DID IN STAGE TWO?

A drawing appears titled “Stage Number Two.”

Mister C. says WHAT IS THE TRANSFORMATION
THAT I USE WITH THIS PIECE
THAT'S SHADED, IF YOU WANT
TO LOOK AT IT THAT WAY,
ONE WAY OR THE OTHER?
WHAT IS THE
TRANSFORMATION THERE?
AND YOU'LL NOTICE I'VE TRIED
TO MAKE IT EASY BY PUTTING AN
IDENTIFIER ON HERE, AND THAT'S
THAT LITTLE SPOT RIGHT THERE.
SO WE'VE GOT A CALL
COMING IN FROM HOMELAND.
YOUR NAME IS?
I COULDN'T HEAR THAT.

A voice says HELLO?

Mister C. says HELLO.
YOUR NAME IS?

Mohamed says THIS IS MOHAMED.

Mister C. says OH, HI, MOHAMED.
WHAT TRANSFORMATION
DID I USE FOR THIS ONE?

Mohamed says IT'S A ROTATION ABOUT
A CENTRE OF AN EDGE.

Mister C. says RIGHT ON, MOHAMED, WELL DONE.
OKAY, WE'LL GO TO STAGE THREE.

A new picture reads “Stage Number Three.”

Mister C. continues WHAT ROTATION - YEAH, IT'S A
ROTATION, I'M GIVING IT AWAY.
WHAT IS IT THOUGH?
WHAT IS THE TRANSFORMATION?

A voice says HELLO?

Mister C. says HI, AND YOUR NAME IS?

Diana says DIANA.

Mister C. says AND WHAT'S THE
TRANSFORMATION THIS TIME?

Diana says I THINK IT'S A TURN.

Mister C. says A TURN ABOUT WHAT?
WHAT'S THE CENTRE
OF THE TURN?

Diana says AN EDGE.

Mister C. says YEAH, THE MIDDLE OF AN EDGE.
RIGHT ON.
NOW, YOU CAN SEE I'VE JUST
SORT OF BEEN DOING A LITTLE
PIECE HERE, A
LITTLE PIECE THERE.
I'VE USED A TRANSLATION, AND
I'VE USED TWO TRANSFORMATIONS
ABOUT THE CENTRE OF AN EDGE.
BUT LET'S TAKE A LOOK
WHAT HAPPENS HERE.

A new picture, titled “Stage Number Four,” shows a cutout representing a human figure, with a face sketched in.

Mister C. says NOTICE, HERE'S THE ONE
TRANSFORMATION ON ONE SIDE
I SHOWED YOU IN STAGE TWO.
HERE'S THE ONE I SHOWED
YOU IN STAGE THREE.
SO YOU'VE GOT ARMS
BEING CREATED HERE.
THIS LITTLE PORTION RIGHT HERE
WAS SHOVED UP TO THE TOP, SO
THAT'S THE TOP OF THE HEAD, IN
ESSENCE, AND ALSO BEGINS TO
FORM THE LEGS AT THE BOTTOM.
AND THE ONLY THING I'VE DONE
IN HERE IS I'VE ADDED A LITTLE
BIT OF DETAIL.
I'VE PUT IN THIS LINE, I PUT
IN A FACE UP HERE AT THE TOP,
AND SO ON AND SO FORTH.
IT LOOKS LIKE I'M AN
ABSOLUTELY BRILLIANT ARTIST.
BUT I'M NOT.
I'M USING MATHEMATICS TO DO
THIS, BUT THE REALITY IS,
LET'S TAKE A LOOK
AT WHAT ESCHER DID.
WHAT YOU ARE GOING TO SEE
RIGHT HERE IS EXACTLY
THE SAME DRAWING.

Escher's artwork shows white, blue and red interlocking human figures, some upside down, with arms and legs splayed in the same position as in the previous “Stege 4” illustration.

Mister C. says EXACTLY, IT'S A HECK OF A LOT
BETTER THAN MINE, I TELL YOU.
SO YOU CAN SEE THAT'S HOW HE
ACTUALLY CREATED THE DRAWING.
WHAT I WANTED TO REALLY
REINFORCE WITH YOU THIS
MORNING IS HE DOES CREATE
THESE DRAWINGS BY USING TURNS
ABOUT THE EDGE, TRANSLATIONS,
AND THE OTHER ONES, AS WELL.
BUT IN THIS PARTICULAR ONE.
NOW, ONE OF THE THINGS YOU
SHOULD NOTICE ABOUT THIS ONE
GOES BACK TO SOMETHING WE
DID LAST WEEK, AND I'LL SEE
IF I CAN DIG IT UP.
BUT NOTICE THAT THE MEN
HERE ARE FACING NORMALLY,
BUT HERE THEY'RE
UPSIDE DOWN.
BECAUSE WHEN THEY
CONNECT THEY TURN AROUND.
AND WE ACTUALLY TALKED ABOUT
THAT LAST WEEK WHEN WE WERE
DOING THIS LITTLE
PIECE RIGHT HERE.

He produces a previous drawing showing a “ribbon-tag” piece added in a reversed position to two adjoining squares.

Mister C. says THIS IS A ROTATION ABOUT
THE CENTRE OF AN EDGE.
AND WHEN YOU CONNECT THE TWO
PIECES, ONE IS RIGHT SIDE UP,
AND THE OTHER ONE
IS UPSIDE DOWN.
SO YOU SEE THAT, IN FACT, THESE
KINDS OF DRAWINGS COME FROM
THE INTERCONNECTEDNESS, AND
YOU CAN PREDICT WHAT THEY ARE
GOING TO BEGIN TO LOOK LIKE.
SO THIS IS ONLY
ONE POSSIBLE STYLE.
NOW, REMEMBER, I SHOWED YOU
EARLIER ON SAMPLES OF STUDENT
WORK THAT REALLY DID A
VERY NICE JOB WITH THIS.
NOW, WHAT I'M GOING TO DO AT
THIS POINT IS I DID PROMISE
THAT I WOULD SHOW YOU A
PORTRAIT OF ESCHER -
A SELF-PORTRAIT HE DID
MUCH LATER IN HIS CAREER.
AND I THINK IT'LL BE
RELATIVELY OBVIOUS.
I THINK THE LAST ONE WE
DID, HE WAS 25 OR SO.
BUT IN THIS ONE, QUITE
CLEARLY, HE'S A LITTLE BIT
OLDER THAN 25,
AND HERE IT IS.

A black and white drawing shows a naturalistic portrait of a hand holding up a crystal ball reflecting a man sitting in his office. the camera zooms in, showing the man has a beard and moustache and is actually holding the ball, as his hand and arm are reflected in perspective.

Mister C. says IF WE ZOOM IN ON THE BALL,
THERE IT IS, WE CAN SEE
HE'S QUITE A BIT OLDER.
WHAT'S FASCINATING IS JUST
LOOKING AT THE PERSPECTIVE
THAT ESCHER USES.
ONE OF THE THINGS I WILL DO
NEXT WEEK IS I'VE GOT A WHOLE
BUNCH OF IMAGES FROM ESCHER,
WHETHER IT'S IN THE BOOK
I SHOWED YOU EARLIER IN THIS
CALENDAR, THAT SHOW YOU THE
GREAT BREADTH OF THE KINDS
OF WORK THAT ESCHER DOES.
THIS IS ONLY - THIS IS A
SAMPLE, AND THOSE TAILINGS ARE
BUT ONE OTHER KIND
OF SAMPLE AS WELL.
NOW, WHAT I'M GOING TO DO AT
THIS POINT IS REMIND YOU ABOUT
HOW TO SEND YOUR DIGITAL
PHOTOGRAPHS TO ME.
AND THEN I WILL
TAKE QUESTIONS.
FIRST OF ALL, I'M GOING TO --
OOPS, I'M GOING TO GO TO THIS
AND JUST SAY
SOMETHING LATER.

A sheet of paper reads, and Mister C. says “Photos of student work (ideally, individual photos of the students holding their posters) must be taken by Tuesday, April 6, and in the case of unprocessed film, forwarded to TVO by courier.” At the end, underlined, the words “Digital photographs are preferable” appear.

Mister C. says UNPROCESSED FILM, IF YOU
DO HAVE IT, AND THAT'S
IF YOU DO NOT HAVE A DIGITAL
CAMERA, YOU CAN FORWARD IT
TO TVO BY COURIER.
WE DIDN'T HAVE ANY LAST TIME
AND, TO BE QUITE HONEST,
IT'S MUCH EASIER TO WORK WITH
THE DIGITAL PHOTOGRAPHS.
SO NOW WE WILL GO TO WHERE YOU
SEND THOSE DIGITAL PHOTOGRAPHS.

On a green background, a caption is headed in yellow “Digital photographs are preferred.” A white caption reads “Please e-mail them to - .”

Mister C. says AND YOU e-mail THEM TO LEMERY “AT”SIGN TVO DOT ORG.
AT THE END OF THE PROGRAM WE
WILL PUT THAT POWERPOINT BACK
UP SO YOU CAN TAKE
THAT NOTE AGAIN.
NOW, I'VE DONE THE PROGRAM
A LITTLE BIT QUICKER THAN
NORMAL, SO I CAN
TAKE QUESTIONS.
I'M MORE THAN HAPPY TO
TAKE THEM RIGHT NOW.
SO WE'RE MAKING A CONNECTION
TO SOMEBODY FROM St. JOHN.
HELLO. HELLO, PICK UP YOUR PHONE.

A voice says HELLO?

Mister C. says HELLO, YOUR NAME IS?

Stephanie says STEPHANIE.

Mister C. says STEPHANIE, DO YOU
HAVE A QUESTION?

Stephanie says NO, I WAS STILL
ON FROM BEFORE.

Mister C. says OKAY, FINE, FINE.
GOOD TO TALK TO YOU ANYWAY.
AND DO WE HAVE ANY
OTHER QUESTIONS?
I CAN SEE A COUPLE.
IF YOU WANT TO CANCEL YOUR
CALL, THAT IS TO SAY YOU
DIDN'T GET THROUGH, YOU CAN
ALWAYS PUSH POUND ZERO.
AND THERE WE ARE.
OKAY, WE HAVE SOMEBODY
ELSE ON THE LINE.
IT'S EITHER NICK OR CODY.

A voice says CODY WANTS TO ANSWER A
QUESTION THIS TIME, OKAY?

Mister C. says OKAY, GO AHEAD, CODY.

Cody says HELLO?

Mister C. says HI, CODY?

Cody says HI.

Mister C. says DO YOU HAVE A
QUESTION OR COMMENT?

Cody says I DON'T EVEN KNOW
WHAT THE QUESTION IS.

Mister C. says I'M NOT ACTUALLY
ASKING A QUESTION.
RIGHT NOW I'M JUST LOOKING
FOR QUESTIONS TO DO
WITH THE PROJECT.
ANYTHING YOU'D LIKE TO KNOW
JUST BEFORE WE SIGN OFF.
WE'LL BE SIGNING OFF SHORTLY.
AND WE HAVE SOMEBODY
AT St. JOHN.
HELLO, AND YOUR NAME IS?

A voice says HELLO?

Mister C. says HI, YOUR NAME IS?

Chris says CHRIS.

Mister C. says HI, CHRIS.
DO YOU HAVE A
QUESTION OR COMMENT?

Chris says YOU KNOW THE PICTURE THAT
ESCHER DREW OF HIMSELF?
WHEN WAS THAT DRAWN?

Mister C. says I'M NOT SURE WHETHER THEY'VE
GOT THE DATE ON HERE OR NOT?
I WOULD THINK IT'S
THE LATE - EARLY '60s.
I HAVEN'T GOT A DATE.
I KNOW HE DIED IN 1972.
SO I'M NOT QUITE SURE
EXACTLY WHAT THE DATE IS.
I'LL TRY TO FIND OUT FOR THE
NEXT TIME WE GET TOGETHER.
WELL, I DON'T SEE ANY MORE
CALLS, SO AT THIS POINT -
WE DO HAVE ONE MORE
CALL FROM HOMELANDS,
SO WE'LL MAKE THAT CONNECTION.
SO IN A MOMENT OR TWO, WE'LL
BE TALKING TO SOMEBODY
FROM HOMELANDS.
IT ALWAYS TAKES A MOMENT OR
TWO TO MAKE THE CONNECTION.
SOMETIMES THE SATELLITES
ARE A LITTLE BIT SLOW.

Escher's self-portrait appears again.

Mister C. says THERE'S ESCHER AGAIN.
I'M GUESSING ABOUT
1960 THAT WAS DONE.
AAAH - WE'RE STILL WORKING
ON THAT CONNECTION.
I WILL SHOW YOU QUITE A
VARIETY OF WORK AT THE END
OF THE SHOW NEXT WEEK.
IT ALL DEPENDS UPON HOW MANY
SUBMISSIONS - NOT NEXT WEEK,
GOT TO KEEP
THINKING TWO WEEKS.
ALL DEPENDS UPON HOW
MANY SUBMISSIONS I GET.
HELLO, WHO AM I SPEAKING TO?

Joy says JOY.

Mister C. says YES, HAVE YOU GOT A
QUESTION OR A COMMENT?

Joy says IS ESCHER STILL ALIVE?

Mister C. says NO, HE DIED IN 1972.

Joy says OF WHAT?

Mister C. says OLD AGE.
HE WAS QUITE AN OLD
MAN AT THAT POINT.
HE DID MOST OF HIS WORK IN THE
'30s, '40s, '50s AND '60s.
BUT IT'S VERY MODERN-LOOKING
STUFF ANYWAY.
DOES THAT KIND OF
ANSWER YOUR QUESTION?
OKAY, HAVE WE GOT
ANY OTHER QUESTIONS?
WE'LL TAKE AT LEAST ONE OR
TWO MORE, AND THEN WE'LL SIGN OFF.
AND WE ARE LOOKING TO TALKING
TO RAYMOND FROM St. PETER'S
IN A MOMENT OR TWO.
THESE SILENCES SOMETIMES ARE
VERY, VERY TOUGH TO GET THROUGH.
NONETHELESS, WITHIN A
MOMENT OR TWO WE SHOULD BE
TALKING TO RAYMOND.
WHAT I THINK I'LL DO IS I'LL
ACTUALLY BRING UP ANOTHER
PICTURE HERE SO YOU CAN TAKE
A LOOK AT A DIFFERENT ESCHER
PIECE WHILE WE ARE
TRYING TO GET CONNECTED.
THERE'S ONE.

An artwork shows a series of dark flying birds on a white background that slowly transforms, as the viewer scans to the right, into a series of white fish that appear in ever greater detail as the birds lose their detail.

Mister C. says OKAY, I THINK WE'RE HAVING A
FEW TROUBLES GETTING THROUGH
ON THE SATELLITE, SO I THINK
IT'S ABOUT TIME TO WRAP UP.
I WOULD LIKE THE FACILITATORS
AT HOMELANDS AND SAINT PETER'S
TO PHONE THE HELP DESK.
I THINK THERE WAS SOME
DIFFICULTY MAKING
THE CONNECTION.
SO WE'LL SEE YOU
IN TWO WEEKS TIME.
SAME TIME, SAME PLACE.
AND 'TILL THEN, SO LONG.

A green slate Reads “Digital photographs are preferred.” A white caption reads “Please e-mail them to – lemery@tvo.org”

A green slate appears on screen. It shows a text that reads “Please remember to log off! Pick up handset. Press pound then seven. Press 1 to confirm. Hang up handset. See you next time!”

Watch: Math Projects Grade 7 - In Class Assignment