Transcript: Grade 5 - Questions and Assignment | Mar 31, 1999

(music plays)

The opening slate pops up with a countdown timer from 10 seconds and the title “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.

Mister C is in his early forties, with short wavy brown hair and a trimmed beard. He wears glasses, suspenders and a white T-shirt with a print on the front.

He says GOOD MORNING AND WELCOME
TO THE VIRTUAL CLASSROOM.
I'VE GOT A WHOLE SERIES
OF THINGS TO DO TODAY.
PRIMARILY WE'RE GOING TO
TAKE UP THAT EXERCISE
AND SORT OF REALLY
GET INTO THE IDEA
OF SEQUENCE AND RULES.
BUT BEFORE
THAT, AS ALWAYS,
I DO HAVE A PUZZLE AND
THIS IS WHAT IT IS.
THERE IT IS.

He shows a wooden square with round pits that are connected by lines. Next to it, 8 numbered round tokens appear.

He says NOW, I'LL EXPLAIN
WHAT THE RULES ARE
AND YOU'VE GOT TO
HELP ME DO IT.
BASICALLY THE
RULES OF THIS,
AND WE'VE GOT TO PLACE
THE NUMBERS 1, 2, 3, 4,
5, 6, 7, 8 INTO
THE PUZZLE.
BUT THE TRICK IS, IS
THAT WE CANNOT PUT
ANY TWO ADJACENT
NUMBERS TOGETHER.
NOW, NOTICE THAT YOU'VE
GOT THESE LITTLE LINES.
SO IF I WERE TO PUT A
2 HERE AND A 3 HERE,
THAT'S NOT PERMITTED
BECAUSE THEY'RE CONNECTED.
HOWEVER IF I PUT THE 3
OVER THERE, THAT'S OKAY.
SO THE IDEA IS TO
FIND A WAY OF FILLING
ALL OF THESE SPOTS.
SO NO TWO ADJACENT
NUMBERS ARE CONNECTED
BY A LITTLE LINE,
ONE OF THESE GUYS.
WHAT I WANT YOU TO DO
IS TO THINK ABOUT IT
FOR A MOMENT OR TWO.
WHEN YOU THINK YOU CAN
HELP ME BY PLACING
THE FIRST COUPLE AND
SO ON, LET'S SEE
WHAT WE CAN GET STARTED
AND GO FROM THERE.
SO WE'VE GOT DAN -
IS IT DAN AT TRILLIUM?

The caller says YUP.

Mister C says WELL, CAN YOU
HELP ME OUT?
HOW WOULD YOU
START THIS PUZZLE?

Dan says THE 1 ON THE
RIGHT CORNER.

Mister C says OKAY, 1 ON THE
RIGHT CORNER.
GOOD, OKAY.

Dan says AND THE 2 ON
THE LEFT CORNER.

Mister C says SO WE'RE GOING
TO MOVE THAT 2
AS FAR AWAY
AS WE CAN.
OKAY, THAT'S A
GOOD IDEA.

Dan says THE 8 ON THE
BOTTOM CORNER.

Mister C says BOTTOM, WHICH ONE,
DOES IT MATTER?

Dan says UM, BY THE 1.

Mister C says OKAY, FINE.
GOTCHA.

Dan says THE 7 ON THE TOP.

Mister C says OKAY, DOES IT
MATTER WHICH ONE?

Dan says YEAH, BY THE 1.

Mister C says BY THE 1, OKAY,
GOTCHA.

Dan says THE 5 BY THE 2,
RIGHT BESIDE IT.

Mister C says GOTCHA.
DAN, THIS IS LOOKING
PRETTY GOOD SO FAR.

Dan says THE 6 BELOW THE 5.

Mister C says 6 BELOW THE 5.
OH, BUT 5 AND 6
CAN'T BE TOGETHER.
SEE, 5 AND 6
ARE CONNECTED
BY A LITTLE LINE
THERE, RIGHT?

Dan says MOVE THE -

Mister C says INTERESTING.
IT'S A LITTLE BIT TRICKY
AT THIS POINT, ISN'T IT.

Dan says MOVE THE 5
BESIDE THE 7.

Mister C says OKAY, GOTCHA, SO I GUESS
WE'RE STILL OKAY, YUP.

Dan says 3 BESIDE THE 1 AND
THE 4 BESIDE THE 2.

Mister C says OKAY.

Dan says UHH.

Mister C says OH, YEAH, YOU KNOW 3
AND 4 GOT TOGETHER THERE
AND 4 AND 5 GOT TOGETHER
THERE UNFORTUNATELY.
OTHERWISE, IT'S
REALLY, REALLY CLOSE.
WELL, DAN, I DON'T KNOW,
I THINK WE'VE GOT
ANOTHER CALL HERE SO WHAT
WE'RE GOING TO DO IS,
WE'LL TRY ANOTHER
CALL BUT THAT'S
A REALLY GOOD ATTEMPT.
THAT'S A REALLY,
REALLY GOOD ATTEMPT.
HI, ADAM?

The caller says HI.

Mister C says YOU'RE AT
FLAMBOROUGH, RIGHT?

Adam says YEAH.

Mister C says HOW'S THE WEATHER IN
FLAMBOROUGH THESE DAYS?

Adam says GOOD.

Mister C says OKAY.
NOW, I'VE TAKEN ALL
THE NUMBERS OUT
SO I GOT A CHANCE TO LET
YOU START ALL OVER AGAIN;
IS THAT OKAY?

Adam says YUP.

Mister C says OKAY, GO FOR
IT, ADAM.

Adam says OKAY, YOU PUT THE 1
ON THE RIGHT CORNER.
THE 2 ON THE
LEFT CORNER.

Mister C says YUP.

Adam says THE 4 ON THE BOTTOM
NEAR THE 1.

Mister C says THE 4 ON THE BOTTOM
NEAR THE ONE, GOTCHA.

Adam says AND THE 5 ON THE TOP,
LIKE, NEAR THE 1.

Mister C says GOTCHA.

Adam says THE 7 IN BETWEEN
THE 5 AND THE 4.

Mister C says OKAY, GOT IT.

Adam says UM, THE 8 AT THE
BOTTOM BESIDE THE 4.

Mister C says OH OH, WHAT'S WRONG?

Adam says THE 7 AND THE 8.

Mister C says YEAH, YEAH, SO
THAT CAN'T GO THERE.
CAN'T GO THERE.
CAN'T GO THERE.

He moves the 8 around.

Adam says OH, YOU CAN MOVE THE
2 OVER NEAR THE 7.

Mister C says OKAY.

Adam says AND PUT THE 8
WHERE THE 2 WAS.

Mister C says YEAH, THAT'S GOOD.
YUP, NOW THE
NEXT ONE?

Adam says MOVE THE 2 UP
NEAR THE 5.

Mister C says YUP.
WE'RE GETTING INTO
TROUBLE, AREN'T WE?

Adam says YEAH.
[laughing]

Mister C says WELL, I'LL TELL
YOU WHAT.
YOU'VE MADE ANOTHER
REALLY GOOD ATTEMPT.
I WILL INVITE ONE MORE
CALLER TO CONNECT
AND SEE IF WE'VE GOT
ONE MORE SOLUTION,
AND THEN I'M
GOING TO GIVE YOU
A BIT OF STRATEGY
ON THIS ONE.
BELIEVE IT OR NOT,
THERE IS A STRATEGY.
SO, CHRIS -
CHRISTOPHER OR CHRIS,
WHICH DO YOU PREFER?

Chris says IT DOESN'T MATTER.

Mister C says OKAY, CHRIS.
I'M GOING TO
TAKE THEM OUT
ONE MORE TIME AND
LET YOU START.
GO AHEAD.

Chris says OKAY.
PUT THE 4 ON
THE LEFT CORNER.

Mister C says THAT'S MY LEFT,
RIGHT, OKAY.

Chris says YOU PUT THE 8 ON
THE OTHER CORNER.

Mister C says ON THE OTHER
CORNER, GOTCHA.

Chris says THE 2 UP ON THE VERY
TOP AT THE RIGHT.

Mister C says 2 RIGHT, GOTCHA.

Chris says 1 LEFT AT
THE BOTTOM.

Mister C says 1 LEFT AT
THE BOTTOM.
GOING GOOD.

Chris says THE 6 BESIDE
THE 1.

Mister C says 6 BESIDE THE 1.
HERE, RIGHT?

Chris says MM-HMM.

Mister C says GOOD.

Chris says 7 BESIDE 2.

Mister C says 7 BESIDE 2.
LIKE IT.

Chris says THE 3 BESIDE THE 8.

Mister C says OH OH.
WHAT'S WRONG?

Chris says CAN YOU MOVE THE
3 BESIDE THE 4
NO, YOU CAN'T
'CAUSE -

Mister C says AH, WE'RE STILL
CONFUSED.

Chris says CAN YOU SWITCH
THE 8 WITH THE 3?

Mister C says I COULD DO THAT.

Chris says YES.

Mister C says AH, BUT IT'S
BESIDE THE 7 NOW.

Chris says CAN YOU PUT THE
3 WHERE THE 1 IS?

Mister C says 2 WHERE THE 1 IS.

Chris says LIKE, SWITCH THE 6.

Mister C says WHAT'S WRONG
WITH THAT ONE?
I CAN SEE THAT WE
HAVE TWO MORE CALLS.
I WOULDN'T MIND
GOING TO ONE MORE.
ANOTHER REALLY
GOOD ATTEMPT.
BUT THERE'S A REAL
STRATEGY HERE
AND IT HAS TO DO
WITH WHICH NUMBERS
ARE ON THE EXTREMES.
A BIT OF A HINT
AND IS IT JESSIE?

The caller says YES.

Mister C says HI, HOW ARE
YOU DOING?

Jessie says GOOD.

Mister C says NOW, I'M GOING TO REMOVE
THE TILES ONE MORE TIME
AND YOU GIVE ME
SOME IDEAS HERE.

Jessie says OKAY, YOU PUT THE 7
ON THE BOTTOM LEFT.

Mister C says 7 BOTTOM LEFT.
GOTCHA.

Jessie says YOU PUT THE 2
ON THE TOP RIGHT.

Mister C says TOP RIGHT.

Jessie says YEAH.

Mister C says GOTCHA.

Jessie says THE 1 ON THE
LEFT CORNER.

Mister C says LEFT CORNER, UP HERE
I PRESUME YOU MEAN.

Jessie says NO, THE ONE -

Mister C says OH, WAY OVER HERE?

Jessie says YEAH.

Mister C says OKAY, SORRY.

Jessie says THE 4 BETWEEN
THE 1 AND THE 2.

Mister C says 4, HERE OR HERE?

Jessie says THAT, RIGHT THERE.

Mister C says OKAY.

Jessie says NO.

Mister C says OH, YOU WANT IT
UP ABOVE, OKAY.

Jessie says YEAH, ABOVE.

Mister C says GOTCHA.

Jessie says THE 3 BESIDE THE 7.

Mister C says 3 BESIDE 7, GOTCHA.

Jessie says THE 6 BETWEEN THE
2 AND THE 3.

Mister C says THE 6 IS GOING WHERE?

Jessie says RIGHT THERE, IN
THE RIGHT CORNER.
RIGHT THERE.

Mister C says OKAY.

Jessie says THE 8 -

Mister C says WE'RE IN TROUBLE,
AREN'T WE?

Jessie says YUP.

Mister C says YUP.
OKAY, I THINK I'M GOING TO
HELP YOU OUT A LITTLE BIT.
I KNOW I'VE GOT A COUPLE
MORE CALLS BUT THIS
IS ONE OF THOSE ONES WHERE
WE REALLY DO NEED A STRATEGY.
AND ONE OF THINGS THAT I LIKE
DOING WITH THE STUDENTS
ON THIS SHOW IS TO GIVE
THEM SOME NEW TOOLS
TO WORK WITH
AND SOME IDEAS.
YOU GUYS HAVE DONE
A WONDERFUL JOB
OF MAKING SOME VERY,
VERY GOOD ATTEMPTS.
BUT YOU SEE, EVERY
TIME YOU'RE SORT OF
DOING IT A LITTLE
BIT RANDOMLY,
YOU SOMETIMES RUN
INTO A PROBLEM.
NOW, HERE'S THE KEY.
THESE TWO NUMBERS
RIGHT HERE.

He sets aside the 1 and the 8.

Mister C says THE REASON THAT THESE
ARE SPECIAL IS THAT 1
ONLY HAS THE 2 BESIDE
IT IN THE SEQUENCE,
BUT NOTHING
BEFORE IT.
AND THE 8 ONLY HAS
THE 7 BESIDE IT
AND NOTHING AFTER IT.
SO THESE TWO NUMBERS
HAVE THE MINIMUM NUMBER
OF CONNECTIONS TO
THE OTHER NUMBERS.
THEY ONLY HAVE ONE.
SO THE BEST PLACE TO
PUT THEM WHERE MOST
OF THE ACTION IS,
RIGHT IN THE CENTRE.
NOW, THE INTERESTING
SIDE OF IT IS,
IS THE PROBLEM FALLS
APART REALLY QUICKLY.
LET'S TAKE A NUMBER THAT
GOES RIGHT BESIDE 8, 7,
AND LET'S SEE
WHERE I CAN PUT IT.
I CAN'T PUT IT HERE
BECAUSE IT'S BESIDE 8,
OR THERE OR THERE
OR THERE OR THERE.
THE ONLY PLACE I CAN
PUT THE 7 IS THERE.

He places it on the left corner, next to the 1.

Mister C says NOW, I'M GOING TO STOP
RIGHT THERE AND I WILL
ASK YOU TO ONE MORE
TIME PHONE IN AND SEE
IF YOU CAN COMPLETE
THE PUZZLE BASED ON
WHAT IDEAS I'VE
ALREADY STARTED.
REMEMBER THAT I LOOKED AT
THE NUMBER BESIDE THE 8.
THAT MAY BE A BIT OF A
CLUE AS TO WHAT NUMBER
YOU SHOULD LOOK AT NEXT.
OH, I SEE JESSIE'S
COME BACK AND I THINK
WE'RE CONNECTING
TO JESSIE.
AH, WE'RE
WORKING ON IT.
IT'S COMING.
HI, JESSIE.

Jessie says HI.

Mister C says NOW, DO YOU SEE,
SO FAR SO GOOD?

Jessie says YUP.

Mister C says WHAT NUMBER DO YOU THINK
I WANT TO WORK WITH NEXT?

Jessie says I THINK YOU PUT
THE 5 BESIDE THE 8.

Mister C says OKAY.

Jessie says I MEAN, THE 2, SORRY.

Mister C says THE 2.

Jessie says YES.

Mister C says NOW, YOU SEE WHAT
HAPPENS THERE,
REMEMBER THE SAME
ARGUMENT - JESSIE,
STAY WITH ME 'CAUSE I'LL
GET YOU TO FINISH IT.
YOU CAN'T PUT IT
HERE OR HERE OR HERE.
THE ONLY PLACE
YOU CAN PUT IT IS?

Jessie says RIGHT THERE.

Mister C says places the 2 on the right, next to the eight.

Mister C says OKAY.
NOW, LET'S SEE IF WE
CAN FINISH IT OFF.

Jessie says HMM, LET'S SEE.
THE 3 ON TOP OF THE 1.

Mister C is THAT'S A GOOD PLACE.
I LIKE THAT.
BECAUSE YOU CAN'T PUT
IT IN THESE TWO SPOTS,
SO THAT'S A
PRETTY GOOD SPOT.

Jessie says THE 4 UNDER THE 8.

Mister C says 4 UNDER 8.

Jessie says THE 1.

Mister C says OR UNDER THE 1.

Jessie says YEAH.

Mister C says OKAY, THAT'S
STILL GOOD.

Jessie says 5 ON THE TOP.

Mister C says 5 ON THE TOP.
HEY, I THINK WE'VE
GOT A WINNER HERE.

Jessie says AND THE 6 ON
THE BOTTOM.

Mister C says WELL DONE, THANK YOU.
RIGHT ON!
SO YOU CAN SEE HOW A
LITTLE BIT OF STRATEGY
DOES MAKE A VERY,
VERY LARGE DIFFERENCE
WHEN YOU'RE
DOING PUZZLES,
AND IT'S NOT OBVIOUS
WHEN YOU SEE IT.
BUT PART OF THAT
IDEA WAS CONNECTIONS.
HOW MANY NUMBERS
BESIDE EACH NUMBER
AND YOU JUST PLAY
WITH THAT IDEA.
NOW, WHAT I'M GOING
TO DO RIGHT NOW IS,
I'M GOING TO INVITE
YOU TO PHONE IN.
THIS IS JUST A LITTLE
BIT OF WARM-UP PRACTICE
ON SOME SEQUENCES.
I'M GOING TO GET INTO
A COUPLE OF QUESTIONS
USING THE ORAL AND
THEN I'M GOING TO
WORK ON THE TAKE UP.
SO LET'S GO RIGHT BACK
TO THE GRAPHICS CAMERA.
WHAT I'D LIKE SOMEBODY TO
DO IS TO HELP ME FILL IN
THESE BLANKS, AND WHAT
WE WILL DO HERE IS,
WE'LL JUST FILL IN
WHATEVER WE CAN.

He shows a sheet with the sequence 1, 4, 7, 10, blank space, blank space, blank space, blank space. Below it, a T-table appears with the following on the left side: n equals 1, n equals 2, n equals 3, n equals 4. On the bottom right area, the caption “tn equals blank space.”

He says THIS LITTLE PART HERE I'M
NOT TOO WORRIED ABOUT,
BUT I AM WORRIED ABOUT
SETTING UP A T-CHART
WITH THE STAGES
AND SO ON,
BUT ALSO GETTING
THESE NUMBERS.
SO AS SOON AS WE
HAVE SOMEBODY -
OH, I SEE THAT WE'RE
CONNECTING TO ERICA
FROM FLAMBOROUGH.
SO THE MOMENT THAT PHONE
CONNECTION IS THERE,
WE'LL FILL IN THESE
BLANKS AND GO FROM THERE.
SO JUST A SECOND
OR TWO.
HI, ERICA.

Erica says is HI.

Mister C says OKAY, SO WHAT GOES INTO
THE NEXT FOUR SPOTS
AND I'LL JUST WRITE
THEM IN AS YOU TELL ME.

Erica says 13.

Mister C says YES.

Erica says 16.

Mister C says RIGHT ON.

Erica says 19.

Mister C says RIGHT.

Erica says AND 22.

Mister C says OKAY.
NOW, WHEN N EQUALS 1, DO YOU
KNOW WHAT I MEAN BY THAT?

Erica says NOT REALLY.

Mister C says OKAY, I'M GOING
TO HELP YOU
BECAUSE WE'RE GOING
TO GET USED TO THIS.
THIS PARTICULAR NUMBER
HERE IS STAGE 1,
SO WE'LL CALL THAT NUMBER 1.
THIS IS STAGE NUMBER 2.
THIS IS STAGE NUMBER 3,
AND STAGE NUMBER 4.
SO WHAT ALL I WANT HERE
IS THAT WHEN N EQUALS 1,
STAGE NUMBER 1, THE
ANSWER IS?

Erica says 1.

Mister C says AND STAGE 2?

Erica says 4.

Mister C says RIGHT.
THIS IS PRETTY SIMPLE.
STAGE 3?

Erica says 7.

Mister C says RIGHT, AND STAGE 4?

Erica says 10.

Mister C says NOW, CAN YOU TELL
ME, IN YOUR OWN WORDS,
WHAT THE RULE IS
FOR THIS SEQUENCE?

Erica says ADD 3.

Mister C says OKAY.
THERE ARE TWO THINGS I WANT
WHEN YOU GIVE ME A RULE.
ADD 3 IS ONE OF THEM.
YOU REMEMBER WHAT
ELSE I REALLY,
REALLY WANT YOU
TO TELL ME, TOO?
ADD 3 -

Erica says PREVIOUS STAGE.

Mister C says PARDON?

Erica says TO THE PREVIOUS STAGE.

Mister C says NO, WHAT I REALLY,
REALLY WANT
IS THE STARTING
NUMBER.
WHATEVER NUMBER
IT STARTS ON.
SO IT STARTS WITH?

Erica says 1.

Mister C says OKAY.
SO WHENEVER YOU GIVE
ME A RULE THAT'S
BASED ON ADDING, ALWAYS
SAY WHERE IT STARTS
SO EVERYBODY KNOWS
WHERE IT STARTS.
SO IT STARTS
WITH 1 AND ADD 3.
THAT'S A GOOD
RULE, ISN'T IT?

Erica says MM-HMM.

Mister C says THANK VERY MUCH,
ERICA, YOU WERE GREAT.
NOW THE NEXT
PHONE CALLER,
I KNOW YOU WEREN'T
PREPARING FOR THIS ONE,
BUT IT'S VERY,
VERY, VERY SIMILAR,
SO I THINK WE'LL
JUST CONNECT TO ALEX
AND SEE IF HE
CAN HANDLE IT.
HI, ALEX.

He shows another sequence that reads “3, 6, 9, 12, blank space, blank space, blank space, blank space” and the same T-table.

Alex says HI.

Mister C says OKAY.
LET'S GO THROUGH
IT AGAIN.
I WANT YOU TO FILL IN
THE BLANKS FOR ME,
THEN THIS, AND THEN
I'LL GO AFTER THE RULE.
SO YOU READY?

Alex says YES.

Mister C says OKAY, GO AHEAD.

Alex says 15.

Mister C says RIGHT.

Alex says 18.

Mister C says RIGHT ON.

Alex says 21.

Mister C says YES.

Alex says 24.

Mister C says NOW, DO YOU
REMEMBER WHAT I WANT
WHEN YOU DO THIS
DOWN HERE?

He points at the T-table.

Alex says YUP.

Mister C says OKAY, TELL ME.

Alex says THE FIRST ONE IS 3.

Mister C says YUP.

Alex says SECOND ONE IS 6.

Mister C says RIGHT.

Alex says 9.

Mister C says RIGHT.

Alex says AND 12.

Mister C says OKAY, AND WHAT'S THE
RULE FOR THIS ONE?

Alex says START WITH 3.

Mister C says YUP, AND?

Alex says AND ADD 3.

Mister C says RIGHT ON, BEAUTY.
JUST A GREAT
JOB, ALEX.
OKAY, SO WE'LL GO TO
OUR NEXT CALLER
TO TRY THIS ONE.
WHOOPS, THAT'S
ALL I HAVE.
NOT SO BAD.
NOW, WHAT I'M GOING
TO DO AT THIS POINT,
AND I'M JUST GETTING MY
SEQUENCE BACK IN SEQUENCE.
SEQUENCES ARE VERY
IMPORTANT INCLUDING
WHAT I DO HERE ON THE
CAMERA AND I JUST ABOUT
MESSED THAT ONE UP.
WE'RE GOING TO
DO A QUESTION,
AND I'M GOING TO
BASICALLY ASK YOU
TO LOOK AT THE QUESTION,
THEN I'M GOING TO GO TO
THE OTHER CAMERA TO SHOW YOU
THE FOUR POSSIBLE ANSWERS,
AND IF YOU THINK
THE ANSWER IS ONE,
YOU PUNCH 1.
IF YOU THINK IT'S
2, AND SO ON.
SO LET'S GO TO THE
QUESTION RIGHT AWAY.
THERE IT IS.
SO WE'RE LOOKING FOR THE
RULE OF THE SEQUENCE
3, 6, 12, 24.

The options that appear on screen are 1, 2, 3 and 4.

Mister C says NOW, ALL I'M INDICATING
HERE WITH THIS IS
HOW YOU ANSWER AND LET'S
GO TO THE GRAPHICS CAMERA
TO SHOW YOU WHAT THE
POSSIBILITIES ARE.
IF YOU THINK THE RULE
FOR 3, 6, 12, 24 IS -
WHOOPS, NOT THAT.
THERE WE ARE.
THIS IS BETTER.
SOMETIMES YOU GET
THINGS BACKWARDS.
THERE IT IS.

A sheet reads “1- add 3 then 6; 2- start with 3 and add 3 each stage; 3 start with 3 and double each stage and 4- start with 3 and triple each stage.”

Mister C says SO I'LL GO THROUGH
THAT ONE MORE TIME.
REMEMBER THAT THE
SEQUENCE IS 3, 6, 12, 24,
SO I'LL PUT IT DOWN
THERE AT THE BOTTOM.
NOW, LET'S TAKE A
LOOK AT WHAT YOU HAVE.
LET'S SEE.
THOSE ARE THE RULES.
I SEE YOU'RE
PUNCHING IN NOW.
AND I'M HOPING TO GET
AS MANY AS POSSIBLE.

A bar chart show 13 answers for option 3, 1 for option 1 and 1 for option 4.

Mister C says OKAY, LET'S JUST TAKE A
QUICK LOOK AT YOUR RESULT.
THERE IT IS.
THE VAST MAJORITY OF YOU
THINK THAT THE RULE IS -
AND I'M GOING TO GO RIGHT
BACK TO THE CAMERA -
OH, BY FAR AND AWAY,
YOU START WITH 3
AND DOUBLE EACH STAGE.
ABSOLUTELY CORRECT.
SO YOU START
WITH 3, NO DOUBT,
YOU DOUBLE THE
3 TO GET 6.
DOUBLE THE 6
TO GET 12.
DOUBLE THE 12
TO GET 24.
I THINK NOW THAT WE'VE
SMOOTHED THAT OUT
A LITTLE BIT, LET'S TRY
ONE MORE QUESTION.
SO LET'S GO TO THE SECOND
QUESTION, AND THERE IT IS.
NOW, LOOK AT THIS ONE.
YOU MIGHT WANT TO COPY
THESE NUMBERS DOWN.

A slate shows another sequence.

Mister C says 1, 7, 8, 14, 15,
21, 22, AND SO ON.
AND WHEN I GO
TO THIS SHOT,
I'M GOING TO TRY TO PUT
THOSE NUMBERS UP HERE
AT THE TOP.

He shows the sheet with the answer options. It reads “ 1- start with 1 and add 6 each stage; 2- start with 1, add 1 then add 6 and repeat; 3-start with 1, add 6 then add 1 and repeat; 4- start with 7, add 1 then add 6 and repeat.”

Mister C says MAKE SURE THAT I'VE
GOT THEM RIGHT.
AND I WILL QUICKLY
GO THROUGH
THE POSSIBILITIES HERE.
IF YOU THINK IT IS THE
FIRST RULE, YOU PUNCH 1.
AND IF YOU THINK THE
FOURTH ONE IS RIGHT...
SO WHICH ONE OF THOSE
RULES IS CORRECT?
LOOK AT THE SEQUENCE AND
READ THE INSTRUCTIONS.
WHICH ONE SEEMS TO
BE MOST APPROPRIATE?
OKAY, LET'S GO BACK AND
TAKE A LOOK AT YOUR
RESULT, AND WE'LL JUST
71 PERCENT HAVE COME IN,
SO THAT'S GOOD.

The bar chart shows 1 answer for option 1, 6 for option 2, zero for option 4 and 14 for option 3.

Mister C says THE MAJORITY OF YOU FEEL
THAT THE THIRD ANSWER
IS THE CORRECT ONE.
NOW, LET'S TAKE
A QUICK LOOK.
WE'LL GO BACK AND
LOOK AT THOSE ANSWERS.
GREAT.
6 BUT NOT 6 HERE,
SO THAT ONE, WRONG.

He crosses out option 1.

He says START WITH 1, IF I ADD 1,
I GET 2, THAT'S WRONG.

HE crosses out option 2.

Mister C says ADD 6 THEN 1 AND
REPEAT, ADD 6 THEN 1,
ADD 6 THEN 1, BINGO.

He draws a tick next to option 1.

He says SO WHAT I SEE RIGHT NOW
IS THAT MOST OF YOU
ARE REALLY PICKING UP
THE IDEA OF THE RULES
AND WRITING THEM DOWN.
SO THAT'S A
REALLY GOOD SIGN.
NOW, WE'RE GOING TO
TAKE UP THE THREE-PAGE
ASSIGNMENT THAT I
GAVE YOU LAST WEEK.
I MAY NOT TAKE UP
EVERY SINGLE ONE
OF THE SEQUENCES, BUT
I'LL TRY TO TOUCH ON
MOST OF THEM.
AND WHAT I'LL DO IS, I'LL
TAKE YOUR PHONE CALLS
BECAUSE THAT'S THE
BEST WAY TO DO IT.
THE OTHER THING IS, IS THAT
NOT ONLY DO WE FILL IN
THE BLANK BUT I AT LEAST
WANT A DESCRIPTION
OF THE RULE.
SO LET'S GO FOR IT.
WE'RE GOING TO GO TO
QUESTION NUMBER 1, PART A,
AND THERE IT IS
AT THE TOP.
THERE IT IS.

He shows a sheet with two sequences: a- 2, 4, 6, 8, blank space, 12, etcetera and b- 1, 2, 4, blank space, etcetera.

He says OKAY, SO I WANT TO
KNOW WHAT THE NUMBER
IS THAT GOES IN THERE
AND WHAT THE RULE IS.
THIS IS PROBABLY THE MORE
STRAIGHTFORWARD ONE.
HI, ERICA.

Erica says HI.

Mister C says OKAY, WHAT GOES
IN THAT BLANK?

Erica says 10.

Mister C says OKAY.
WELL, THAT WAS PRETTY
STRAIGHTFORWARD.
WHAT'S THE RULE?

Erica says YOU START WITH
2 AND ADD 2.

Mister C says SOUNDS GOOD,
THANK YOU, ERICA.
NOW, WE WILL TAKE ANOTHER
CALL FOR THE ONE
THAT'S DOWN HERE
AT THE BOTTOM. 1, 2, 4.
HELLO, CAN I ASK YOU
WHAT YOUR NAME IS?

The caller says HEATHER.

Mister C says HI, HEATHER.
HOW ARE YOU DOING?

Heather says GOOD.

Mister C says OKAY, 1, 2, 4, WHAT DO YOU
THINK THE NEXT NUMBER IS?

Heather says 8.

Mister C says WHAT'S THE RULE?

Heather says YOU ADD TWO EACH.
I MEAN, YOU
DOUBLE EACH.

Mister C says YOU DOUBLE, OKAY.

Heather says YOU START WITH 1 AND
DOUBLE IT EACH TIME.

Mister C says SO WE DOUBLE EACH TIME
AND WHAT DID YOU
JUST SAY THERE
BEFORE THAT?

Heather says YOU START WITH 1.

Mister C says RIGHT ON.
THAT'S JUST GREAT.
THANK YOU VERY MUCH.
DOUBLE EACH TIME.
I'LL GET THAT OTHER
WORD IN THERE.
SO, SO FAR, SO GOOD.
NOT TOO BAD.
BY THE WAY, I'M
JUST CURIOUS.
I'M GOING TO GO
BACK TO THAT ONE
FOR JUST A
HALF SECOND.
DID ANYBODY GET ANOTHER
ANSWER FOR THAT ONE?
I'M CURIOUS.

He points at the second sequence.

Mister C says I SHOULD REALLY CLEAR
THE SLATE AND GO BACK
TO SQUARE ONE ON THIS
ONE BECAUSE I WONDER
IF ANYBODY GOT A DIFFERENT
ANSWER TO THAT ONE.
I CERTAINLY LIKE THIS
ANSWER, BUT YOU KNOW,
IT'S POSSIBLE THERE MIGHT
BE A DIFFERENT ONE.
SO LET'S SEE IF SOMEBODY
HAS A DIFFERENT ANSWER.
HELLO, IS IT SHIRLEY?

The caller says NO, THIS IS JODY.

Mister C says OH, SORRY, MY COMPUTER
SOMETIMES MESSES UP
AND WE'LL CALL THIS
ONE A MESS-UP.
OKAY, HI, JODY.

Jody says HI.

Mister C says DID YOU HAVE A DIFFERENT
ANSWER FOR THIS ONE?

Jody says NO, I GOT FOR
THE NEXT ONE.

Mister C says OKAY.
TELL YOU WHAT, JODY,
I'M GOING TO HOLD YOU
ON THE LINE AND LET'S
DO THAT NEXT ONE.
THIS ONE?

He shows a slate with the sequence 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, blank space, blank space, blank space, blank space, blank space, blank space.

Jody says OKAY.

Mister C says OKAY.
AND THEN I MAY COME
BACK TO THAT ONE.
EVERYBODY OUT THERE, IF
YOU HAVE A DIFFERENT
ANSWER FOR PART B, IF YOU
GET A CHANCE TO PHONE IN,
DO THAT.
YOU CAN HANDLE THIS
ONE, EH, JODY?

Jody says YUP.

Mister C says OKAY, WHAT GOES NEXT?

Jody says 0.

Mister C says KEEP GOING.

Jody says ANOTHER 0.

Mister C says YUP.

Jody says THEN ANOTHER ONE.

Mister C says YUP.

Jody says AND ANOTHER ONE.

Mister C says AND ANOTHER
ONE, OH, OKAY.

Jody says AND A 1.

Mister C says YEAH.

Jody says AND THEN A 0.

Mister C says OKAY.
HOW WOULD YOU
DESCRIBE THIS RULE?

Jody says YOU START WITH 1.

Mister C says YEAH, I LIKE THAT.

Jody says AND YOU ADD ONE
MORE EACH TIME.

Mister C says OKAY, ADD ONE
MORE WHAT?

Jody says ADD ANOTHER
ZERO EACH TIME.

Mister C says YEAH.
THIS ONE'S A
HARD ONE TO SAY,
NOW, THAT'S VERY
GOOD, JODY.

Jody says OKAY.

Mister C says SO, THANK YOU
VERY MUCH.
SO THIS PARTICULAR
ONE, START WITH 1,
THEN YOU HAVE
ONE ZERO.
YOU GO BACK TO 1, BUT THE
NEXT TIME IT'S TWO ZEROS
THEN A 1, THEN YOU ADD
ONE MORE ZERO EACH TIME,
JUST LIKE JODY SAID.
THREE ZEROS AND ONE,
FOUR ZEROS AND 1, SO ON.
WELL DONE.
LET'S GO TO THE
NEXT ONE.
THESE TWO.

A slate shows two sequences of fractions. The first sequence reads “1 half, 2 thirds, 4 fourths, 8 fifths, sixteen sixths, blank space, blank space” and the second sequence reads “1 half, 2 thirds, 1 whole, 8 fifths, eight thirds, blank space, blank space.”

Mister C says I'LL BASICALLY TREAT THESE
TWO AT THE SAME TIME.
AND WE'RE GOING TO
GO TO JACK MINER.
HELLO, AND WHO'S CALLING
FROM JACK MINER?

The caller says HEATHER.

Mister C says HI, HEATHER.
DO YOU KNOW WHAT
THE NEXT TWO ARE?

Heather says 32 AT THE TOP AND
THEN 7 ON THE BOTTOM.

Mister C says GOOD, OKAY, AND
THE NEXT ONE?

Heather says 64 AT THE TOP AND
8 ON THE BOTTOM.

Mister C says HELP ME A LITTLE BIT.
WHAT'S THE RULE
FOR THE NUMERATORS?

Heather says YOU'RE DOUBLING IT.

Mister C says YOU DOUBLE EACH TIME BUT
WHAT DO YOU START WITH?
ALWAYS TELL ME
THE START.

Heather says START WITH A HALF.

Mister C says START WITH?

Heather say START WITH A 1.
AND DOUBLE
EACH TIME, GOOD.

Mister C says WHAT ABOUT THE
DENOMINATORS?
WHAT'S THE RULE
FOR THAT?

Heather says YOU'RE JUST
ADDING ONE.

Mister C says BUT WHAT DO
YOU START WITH?

Heather says YOU START WITH 2.

Mister C says YOU SEE, I'M REALLY
NASTY, AREN'T IT?
I KEEP ASKING FOR THAT
START NUMBER BECAUSE
TO ME TO DESCRIBE
THE WHOLE SEQUENCE,
YOU ALWAYS NEED TO KNOW
WHERE IT BEGINS, RIGHT?

Heather says C says RIGHT.

Mister C says OKAY.
NOW, THE REAL
TEST, HEATHER,
DO YOU HAVE ANY IDEA WHAT
GOES ON IN THIS ONE?

Heather says I HAVE 24 AND THEN
AN 8 ON THE BOTTOM.

Mister C says 24 THEN 8 ON
THE BOTTOM.

Heather says AND THEN 24 AND
16 ON THE BOTTOM.

Mister C says OH, OKAY, INTERESTING.
NOW WHAT'S YOUR RULE?

Heather says OH.
[laughing]

Mister C says AGAIN, I GUESS I'M
BEING A LITTLE BIT -
WE'RE ASSUMING THAT
THESE SEQUENCES
HAVE A RULE, SO THAT'S WHY
I HAVE TO KEEP ASKING.

Heather says OKAY.

Mister C says ANY IDEA WHAT
THE RULE IS?

Heather says NO.

Mister C says OKAY.
THAT'S FINE.
NOW, I'D BE MORE
THAN HAPPY TO TAKE
ANOTHER CALL HERE.
SOMEBODY THAT MIGHT
WANT TO COMMENT
ON THE SECOND ONE.
THE FIRST ONE, HEY, I HAVE
NO PROBLEM WITH THAT.
THAT'S REALLY
NICELY DONE.
WHAT ABOUT THIS
ONE, THOUGH?
DOES ANYBODY SEE
A RELATIONSHIP
BETWEEN THESE TWO?
HI, IS IT DAVID?

David says YUP.

Mister C says WHAT DO YOU THINK
ABOUT THIS NEXT ONE?
DO YOU AGREE
WITH THESE TWO?

David says THEY'RE EQUIVALENT
FRACTIONS.

Mister C says OKAY.
SO, YOU'RE SAYING
EQUIVALENT FRACTIONS.
GIVE ME ONE EXAMPLE.

David says 16-6 AND 8-3.

Mister C says OKAY.
SO IN OTHER WORDS, THIS IS
ACTUALLY THE SAME NUMBER
AS THE ONE ABOVE
IT, ISN'T IT?

David says YEAH.

Mister C says AND THIS IS
OBVIOUSLY THE SAME.
WHAT ABOUT THIS ONE?

David says YUP.

Mister C connects the fractions in the first sequence with the ones in the same order the second sequence.

Mister C says YUP, I LIKE THAT,
AND OF COURSE,
THESE ARE THE SAME.
SO WHAT DOES THAT
TELL YOU ABOUT
WHAT THESE TWO
SHOULD BE?
WHAT SHOULD THIS
NUMBER BE DOWN HERE?

HE points at the first blank space in the second sequence.

David says 32 OVER 7.

Mister C says RIGHT ON.
WHOOPS.
MY HAND FOLLOWS MY
HEAD SOMETIMES.
OKAY, 32 OVER 7
IS RIGHT.
WHAT DO YOU THINK
WE SHOULD PUT IN
FOR THIS ONE
RIGHT HERE?

He points at the second blank space in the second sequence.

David says 64 OVER 8.

Mister C says OKAY, BUT SINCE WE'RE
REDUCING IN THIS ONE,
WHAT'S 64 OVER 8 REDUCED?
HOW MANY TIMES
DOES 8 GO INTO 64?

David says 32 FOURTHS.

Mister C says KEEP GOING.
32 FOURTHS CAN REDUCE.

David says 8 ONES.

Mister C says WHICH IS JUST
PLAIN OLD 8,
JUST LIKE THIS ONE
OVER HERE, RIGHT?
8-1 IS FINE, BUT I
COULD WRITE IT AS JUST
PLAIN OLD 8, RIGHT?

Mister C says YUP.

Mister C says FANTASTIC!
VERY NICE OBSERVATION.
SO LET'S GO ON TO THESE.
AH, THIS ONE UP HERE IS
ONE OF MY FAVOURITES,
ABSOLUTE FAVOURITES.
SO WE'RE GOING TO
TRY TO DO THESE TWO.
THIS ONE, I THINK WE'RE
GOING TO GET EASILY.
THIS ONE IS ONE OF MY
FAVOURITES AS WELL
BUT IT'S NOT SO
EASY TO GET.

He shows another slate with two sequences. Sequence one reads “1, 1, 2, 3, 5, 8, 13, blank space” and sequence 2 reads “1, 8, 11, 69, blank space, 96, 101.”

Mister C says SO WE'RE GOING BACK
TO JACK MINER.
OH, I SEE WE'VE GOT
A BUNCH MORE CALLS.
THIS IS GOOD.
OKAY, WHO AM I
TALKING TO AT JACK?

The caller says ASHLEY.

Mister C says HI, ASHLEY.
WELL, LET'S DO THIS
ONE AT THE TOP FIRST.
WHAT'S THE NEXT
NUMBER?

Ashley says 21.

Mister C says PARDON?

Ashley says 21.

Mister C says YEAH, I LIKE
THAT ANSWER,
BUT NOW YOU'VE GOT
TO TELL ME WHY.

Ashley says IT STARTS WITH 1, AND
GOES 1 PLUS 1 EQUALS 2,
1 PLUS 2 EQUALS 3, AND
2 PLUS 3 EQUALS 5,
AND 3 PLUS 5 EQUALS 8.

Mister C says YOU GOT IT.
SO IN OTHER WORDS, YOU
TAKE THE 2 TO GET -
THESE YOU ADD
TOGETHER TO GET THIS.
THESE YOU ADD
TOGETHER TO GET THAT,
AND SO ON AND SO ON.
YOU HAVE ABSOLUTELY
GOT IT RIGHT.
THIS IS A VERY
FAMOUS SEQUENCE.
IT'S GOT A NAME.
IT'S CALLED THE
FIBONACCI SEQUENCE,
AND YOU KNOW SOMETHING,
THE FIBONACCI SEQUENCE
HAS A PLACE IN REAL
LIFE, IN REAL NATURE.
IF YOU LOOK AT PINEAPPLES
OR PINE CONES, SUNFLOWERS,
THAT IN FACT IF YOU LOOK
AT THE NUMBER OF SEEDS
AND HOW THEY ARE ARRANGED,
THEY'RE ALWAYS ARRANGED
IN SUBSEQUENT NUMBERS IN
THE FIBONACCI SEQUENCE.
SO SOME DAY IF I HAD A
WHOLE LESSON WITH YOU
JUST ON THIS SEQUENCE,
I COULD TALK WITH YOU
FOR AT LEAST AN HOUR
ABOUT IT ALL BY ITSELF.
VERY, VERY NICE.
WELL, THANK YOU.
LET'S SEE IF WE CAN
HANDLE THIS ONE, THOUGH.
THIS IS AGAIN ONE OF MY
FAVOURITES DOWN HERE.
AND WE HAVE
ANOTHER CALL AND
WE'RE GOING TO
FLAMBOROUGH.
AND I THINK IT
WILL BE ERICA.
HELLO, ERICA?

Erica says YEP!

Mister C says OKAY.
ANY IDEA WHAT
THAT NUMBER IS?

He points at the blank space in the second sequence.

Erica says 88.

Mister C says I LIKE THAT.
WHY?
[laughing]

Erica says I DON'T REMEMBER
HOW I GOT IT.
IT WAS SOMETHING
YOU -
I DON'T REMEMBER
WHAT YOU DID.

Mister C says OKAY.
REMEMBER THIS IS ONE
THAT'S NOT ARITHMETIC.
THAT, IN FACT, IF I TURNED
THIS UPSIDE DOWN,
THAT THOSE NUMBERS
BASICALLY READ THE SAME.
NOW REMEMBER THAT THE ONE,
YOU CAN PRETEND THAT THAT
LITTLE PIECE IS
CUT OFF OF IT.
BUT BASICALLY, THESE HAVE
WHAT IS CALLED
180 DEGREE ROTATIONAL
SYMMETRY.
SO I'M NOT GOING TO
WRITE THAT ALL OUT,
AND THAT'S WHY
88 WORKS THERE.
IT'S JUST LIKE THE 8
DOWN AT THIS END, OKAY?
NICELY DONE.
THANK YOU VERY MUCH.
WE'VE GOT TWO
MORE HERE
AND I THINK WE
GOT THREE MORE.
I MAY NOT COVER
THEM ALL.
WE WILL VERY BRIEFLY
TOUCH ON THESE COUPLE.
IF ANYBODY'S GOT AN ANSWER
TO EITHER ONE OF THESE,
I DON'T MIND WHICH
ONE YOU CALL IN ON.
THIS ONE'S VERY,
VERY TRICKY.
THIS ONE I THINK YOU
SHOULD BE ABLE TO DO.

He shows a slate with two sequences. Sequence J reads “1, 11, 21, 1211, 111221, blank space” and sequence K reads “5, 6, 8, 11, blank space, blank space.”

Mister C says SO WE'LL TAKE A CALL AND
I THINK WE'RE GOING
TO FLAMBOROUGH AND IT
LOOKS LIKE MATTHEW.
AND WE'LL BE THERE
IN JUST A MOMENT.
1, ONE 1; TWO
1s; ONE 2 ONE 1...
OKAY, I WAS JUST SORT OF
THINKING OUT LOUD THERE.
HI, IS IT MATTHEW?

The caller says YEAH.

Mister C says OKAY, WHICH ONE DO
YOU WANT TO ANSWER?

Matthew says J.

Mister C says OKAY, WHAT'S YOUR
NEXT BLANK RIGHT HERE?

Matthew says 111221.

Mister C says SO YOU'RE DOING
THIS ONE UP HERE.

Matthew says YEAH.
YES.

Mister C says SO WHAT DO YOU
THINK'S NEXT?

Matthew says 1111 -

Mister C says OH, ANOTHER 1, OKAY.

Matthew says 221.

Mister C says OKAY, NOW WHY DOES
THAT WORK IN YOUR MIND?
WHAT'S THE RULE HERE?

Matthew says EACH TIME YOU ADD A 1
ONTO THE STARTING OF IT.

Mister C says DOES THAT FIT WITH
THESE TWO UP HERE?
WELL, I GUESS IN A
FUNNY WAY IT DOES.

He points at number 21 and number 1211.

Matthew says YES.

Mister C says IT'S KIND OF TRICKY.
I'LL COME BACK
TO THAT ONE.
DO YOU KNOW THE ANSWER TO
THIS ONE BY ANY CHANCE?

He points at the second sequence.

Matthew says NO.

Mister C says OKAY.
I'M GOING TO COME BACK TO
THAT ONE IN A MOMENT OR TWO.
THANKS A LOT, MATTHEW.
LET'S TAKE ANOTHER CALL.
OKAY, ALEX, ARE
YOU THERE?

Alex says YES.

Mister C says OKAY, WHAT ABOUT THIS ONE
DOWN HERE AT THE BOTTOM?

Alex says UMM, THE
NEXT ONE'S 15.

Mister C says RIGHT, AND THE
NEXT ONE AFTER THAT?

Alex says 20.

Mister C says NOW, WHAT'S THE
RULE FOR THIS ONE?

Alex says ADD 1 THEN ADD
2 THEN ADD 3,
SO IT GOES UP BY
ONE WHAT YOU ADD.

Mister C says ADD 1 THEN 2
THEN 3 AND SO ON,
BUT WHAT DID YOU
FORGET TO TELL ME?

Alex says IT STARTS WITH 5.

Mister C says RIGHT ON.
HAVE YOU GOT ANY IDEA
ON THIS ONE UP HERE?

Alex says JUST A GUESS.
MINE IS 112221.

Mister C says OKAY.
NOW, I'M GOING TO HELP
EVERYBODY ON THIS ONE
AND LISTEN TO ME
REALLY CLOSELY.
1, ONE 1,
TWO 1s,
ONE 2 AND ONE 1,
ONE 1 ONE 2 AND TWO 1s.
WHAT'S THE CLUE
ON THIS ONE?
I'LL READ IT
ONE MORE TIME.
ANYBODY THAT WANTS TO
PHONE IN AND SORT OF
CHIRP IN WITH A
POSSIBLE SOLUTION?
1, ONE 1,
TWO 1s,
ONE 2 AND ONE 1,
ONE 1 ONE 2 AND TWO 1s.
WHAT DO YOU THINK
MIGHT BE NEXT?
IT'S A REALLY, REALLY,
REALLY TRICKY ONE.
GOT A CALL COMING
IN FROM JACK MINER.
MAYBE WE PICKED IT UP.
SO LET'S SEE, IN
JUST A MOMENT OR TWO
WE'LL BE CONNECTED.
HELLO AND WHO AM
I SPEAKING TO?

The caller says HELLO?

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

The caller says CRYSTAL.

Mister C says HI, CRYSTAL.
WHAT DO YOU THINK
THE NEXT ONE IS?

Crystal says 11112221.

Mister C says OKAY.
IS THAT BASED ON
WHAT YOU SEE HERE?
HOW MANY 1S DO I HAVE
AT THE BEGINNING?

He points at number 111221.

Crystal says ONE -

Mister C says HOW MANY -

Crystal says 3.

Mister C says 3 1s, RIGHT.
HOW MANY 2s DO
I HAVE NEXT?

Crystal says TWO.

Mister C says TWO 2s.
HOW MANY 1S DO
I HAVE NEXT?

Crystal says ONE.

Mister C writes down the number 312211.

Mister C says ONE 1.
THIS IS THE
ACTUAL ANSWER.
YOU SEE HOW
YOU GET THIS?
BY GOING BACKWARDS.
LET'S TAKE A
LOOK AT THIS ONE.
YOU START WITH ONE 1,
THEN YOU HAVE ONE 2,
THEN YOU HAVE TWO 1s.
SEE THAT?

Crystal says YEAH.

Mister C says AND EVERY TIME
YOU CHANGE A DIGIT,
THEN WHAT YOU DO IS,
IS YOU BASICALLY
START AGAIN IN
A SENSE.
LIKE THE NEXT ONE AFTER
THIS IS ONE 3, ONE 1,
TWO 2s, AND TWO 1s.
SEE HOW I DID THAT?

Crystal says YES.

Mister C says ONE 1, ONE 1, TWO
2s, AND TWO 1s.

Crystal says OH.

Mister C says PRETTY TRICKY, EH?

Crystal says YEAH.

Mister C says OKAY, GREAT.
I'M GOING TO GO RIGHT TO
THE NEXT COUPLE OF PAGES
BECAUSE I THINK I
BETTER CLEAR THEM UP
SO I DON'T LEAVE YOU IN
THE LURCH SO TO SPEAK.
WHAT COMES IN
THE BLANK NUMBER 5.

He shows a slate with 4 geometric figures: 1- a triangle, 2- a rectangle, 3- a pentagon, 4- an hexagon, 5- blank space.

Mister C says I DON'T THINK IT WAS
NUMBERED ON THE ASSIGNMENT,
BUT WHAT DO YOU
THINK COMES NEXT?
STRAIGHTFORWARD ONE.
I DON'T THINK YOU SHOULD
HAVE A LOT OF DIFFICULTY
WITH THIS ONE.
AND WE'RE CONNECTING.
AND I THINK WE'RE GOING TO
MATTHEW AT FLAMBOROUGH.
HI, MATTHEW.

Matthew says HI.

Mister C says WHAT COMES IN
THIS BLANK?

Matthew says A BLOCK THAT'S
7 EDGES.

Mister C says 7 EDGES,
RIGHT ON.
AND I HAVE NO PROBLEM WITH
WHATEVER KIND YOU MAKE IT,
ONE, TWO, THREE, FOUR,
FIVE SIX, SEVEN.
SO THIS IS A TRIANGLE.
IN THIS CASE IT'S A
QUADRILATERAL, PENTAGON,
HEXAGON, SEPTAGON IS WHAT
YOU WERE LOOKING FOR.
VERY GOOD.
THANK YOU VERY MUCH.
NOW, WE'VE GOT THIS
SEQUENCE AS YOUR
NEXT QUESTION, AND THE
KEY TO THIS ONE IS,
REMEMBER YOUR QUESTION
LOOKS LIKE THIS.

He shows a slate with three figures. One is a square and the other two are a cross made of 5 boxes and a larger, diamond-shaped grid-like shape of 13 boxes. Some of the boxes are shaded and some are not.

He shows a slate with 3 sequences.

Mister C says THEN I ASKED YOU
WHICH ONE OF THESE
NUMBER PATTERNS
FITS THIS.
AND LET'S DO THIS
SORT OF ONE AT A TIME.
1, 5, 13, 25, LET'S
PICK OUT THE NUMBER
THAT'S HERE AND
DOES IT FIT THIS.

He points first at the number missing from the first sequence and then to the slate with the figures.

Mister C says SO WE WILL TAKE A
CALL ON THAT ONE.
1, 5, 13, 25.
SO THE NEXT NUMBER HERE,
WE'RE WONDERING WHAT
THAT WOULD BE AND DOES
IT FIT THIS PATTERN.
HELLO, HI, MATTHEW.

Matthew says HI.

Mister C says HI, WHAT'S THE
NEXT NUMBER?

Matthew says 41.

Mister C says YES.
DOES IT FIT THE PATTERN
WE'RE LOOKING AT?

Matthew says YEAH.

Mister C says WHAT DO THESE NUMBERS
REPRESENT IN THE PATTERN?

Matthew says HOW MANY BOX
THERE ARE IN WHOLE.

Mister C says YEAH, THE NUMBER OF TILES
TO MAKE THESE, RIGHT?

Matthew says YEAH.

Mister C says SUPER, OKAY.
NOW, LET'S TAKE A LOOK
AT THIS SECOND ONE
AND THE QUESTION THERE
IS, DOES THAT PATTERN -
FIRST OF ALL, WHAT'S
THE NEXT NUMBER?
DOES IT HAVE ANYTHING TO
DO WITH THESE, AS WELL?

The second sequence reads “4, 12, 20, 28, blank space.”

Mister C says SO PHONE IN AND LET ME
KNOW WHAT THE NEXT NUMBER IS
AND THEN WE'LL
GO FROM THERE.
AND WE'VE GOT A CALL
COMING IN FROM JACK MINER.
HI, AND WHO AM I
SPEAKING TO?

The caller says JUSTIN.

Mister C says HI, JUSTIN.
WHAT NUMBER COMES
NEXT IN THIS SEQUENCE?

Justin says 36.

Mister C says RIGHT ON.
DOES IT HAVE ANYTHING TO
DO WITH THESE PATTERNS BELOW?

Justin says I DON'T KNOW.

Mister C says WELL, I'M GOING TO
HELP YOU A LITTLE BIT.
LOOK AT THE NUMBER OF
EDGES THAT ARE HERE.
ONE, TWO, THREE, FOUR.
SEE THAT?
SO THERE ARE
FOUR EDGES HERE?

Justin says YES.

Mister C says HOW MANY EDGES
ON THIS,
ONE, TWO, THREE,
FOUR, FIVE, SIX,
SEVEN, EIGHT, NINE,
TEN, ELEVEN, TWELVE.

Justin says YEAH.

Mister C says WHAT DO YOU THINK?
HOW MANY EDGES
ON THIS ONE?

Justin says TWENTY.

Mister C says YEAH, YOU'VE GOT IT.
SO YOU SEE THIS
PATTERN ALSO DESCRIBES
SOMETHING THAT'S GOING
ON HERE, RIGHT?
SO IT'S MORE THAN
ONE SEQUENCE
THAT CAN DESCRIBE
THE SAME PATTERN.
BUT IT'S DIFFERENT ASPECTS
OF THE PATTERN, RIGHT?
OKAY, THANK YOU
VERY MUCH.
LET'S GO TO
THIS LAST ONE.
THIS LAST ONE, I'M
WONDERING WHAT
THE NEXT NUMBER IS,
BUT FURTHER TO THAT,
I'M ALSO CURIOUS AS TO
WHAT IT REPRESENTS.

The third sequence reads “4, 16, 36, 64, blank space.”

Mister C says SO, WHAT'S THE NEXT
NUMBER AND WHAT
DO THOSE NUMBERS
REPRESENT?
DO THEY HAVE ANYTHING TO
DO WITH THIS PATTERN?
AND WE'VE GOT A CALL COMING
IN FROM FLAMBOROUGH.
AND I THINK IT
WILL BE ADAM.
HELLO, ADAM.

Adam says HELLO.

Mister C says WHAT'S THE NEXT
NUMBER HERE?

Adam says 128.

Mister C says 128.
OKAY, I'M GOING TO
HELP YOU A LITTLE BIT.
DID YOU GET THAT
BY DOUBLING THIS?

He points at number 64.

Adam says YEAH.

Mister C says BUT 36 DOUBLE HERE IS
NOT - 36 TIMES 2 IS 72,
NOT 64.

Adam says OH.

Mister C says OKAY, HANG ON.
DON'T GO AWAY.
I'M GOING TO HELP YOU
AND THEN YOU'LL SEE
WHAT THE ANSWER
IS PROBABLY.
4 IS EQUAL TO 2
SQUARED, FAIR ENOUGH?

Adam says YEAH.

Mister C says 16 IS 4 SQUARED.

Adam says YEAH.

Mister C says 36 IS 6 SQUARED.

Adam says MM-HMM.

Mister C says THIS IS 8 TIMES 8,
8 SQUARED.
SO WHAT DO YOU THINK
THE NEXT ONE IS?

Adam says 130.
100.

Mister C says 100, RIGHT ON, BECAUSE
THAT'S 10 SQUARED, RIGHT?

Adam says YEAH.

Mister C says OKAY, SUPER.
NOW, COME BACK
TO THIS PATTERN.

He shows the slate with the figures.

He says I'M GOING TO SHOW YOU
WHERE THIS ONE COMES UP.
NOTICE THE FIRST
NUMBER WAS 4,
SO THAT'S THE
SAME AS THIS?
SO I'M GOING TO SHOW YOU
HOW THIS PATTERN FITS.
FOUR FOR THIS ONE.
LET'S COUNT THE NUMBER OF
STICKS USED TO MAKE THIS ONE.
ONE, TWO, THREE, FOUR,
FIVE, SIX, SEVEN,
EIGHT, NINE, TEN, ELEVEN,
TWELVE, THIRTEEN,
FOURTEEN, FIFTEEN,
SIXTEEN.
SO IN OTHER WORDS, THIS
LAST PATTERN REPRESENTS
THE NUMBER OF
INDIVIDUAL STICKS
NECESSARY TO MAKE
THIS PATTERN.
SO THAT'S YET
ANOTHER ONE.
NOW, AT THIS POINT I JUST
HAVE TO REMIND YOU
ABOUT THE BIG ASSIGNMENT.
I'VE MORE OR LESS RUN OUT
OF TIME AND I'VE GOT
A COUPLE OF THINGS THAT
YOU SHOULD BE AWARE OF
AND THIS IS A REMINDER TO
YOUR TEACHERS, AS WELL.

A slate pops up. It reads “Photos of individual students holding their posters must be taken on Wednesday, March 3, and forwarded to TV Ontario by courier (unprocessed film or Polaroid images).”

Mister C says NOW THAT'S ONE
WAY OF DOING IT.
AND FOR THE TEACHERS THAT
ARE IN THE ROOM RIGHT NOW,
I WILL ATTEMPT TO CONTACT
YOU OVER THE COURSE OF TODAY
JUST TO MAKE SURE
EVERYTHING'S OKAY,
SO THAT I CAN GET THE
MAXIMUM NUMBER OF PICTURES
SO THAT I CAN
SHOW OFF THE WORK.
WHAT WE'LL DO NEXT WEEK
IS WE'LL HAVE THE KIDS -
WE'LL SHOW THE
PICTURE OF THEIR WORK
WITH THE STUDENT IN
IT, OR STUDENTS
IF A PAIR ARE
WORKING ON IT,
AND WE'LL ASK THEM TO
DESCRIBE THEIR OWN WORK.
NOW, IF YOU HAVE
A DIGITAL CAMERA,
HERE'S THE OTHER WAY OF
GETTING THE INFORMATION TO US.

Another slate reads “Digital photographs are preferred. Please e-mail them to: lemery@tvo.org.”

Mister C says AND THAT'S THE e-mail ADDRESS
FOR LAURIE EMERY UPSTAIRS.
AND IF YOU COULD EMAIL
YOUR DIGITAL PHOTOGRAPHS
LATER IN THE DAY,
PERHAPS, ON WEDNESDAY
TO THE e-mail ADDRESS
BELOW, AND THE ADDRESS IS,
WE WILL TAKE YOUR DIGITAL
PHOTOGRAPHS AND BASICALLY
ARRANGE THEM AND USE
THEM AS THE OTHER WAY
OF SETTING UP
THE PROGRAM.
SO YOU'VE GOT TWO WAYS OF
GETTING YOUR WORK IN
TO US AND I'M REALLY, REALLY,
REALLY LOOKING FORWARD
TO SEEING WHAT YOU'VE
GOT TO SHOW ME.
I'M QUITE EXCITED AND I
HOPE YOU ARE AS WELL.
IF YOU'VE GOT ANY
QUICK QUESTIONS,
I'LL TAKE THEM
RIGHT NOW.
IF NOT, SAME
TIME, SAME PLACE,
WE'LL SEE YOU
NEXT WEEK.

A slate pops up with the caption “Please remember to log off! Pick up handset. Press pound then 7. Press 1 to confirm. Hang up handset. See you next time!”

Watch: Grade 5 - Questions and Assignment