Transcript: Adding Three Digit Numbers
(music plays)
Shahana stands next to a wall touch screen showing the title of a lesson. She is in her twenties, with shoulder-length brown hair. She wears a blue T-shirt with a print that reads "Home Work Zone."
She says HEY,
TVO KIDS!
I'M TEACHER
SHAHANA,
AND I'M
HERE TODAY,
TO SHOW YOU HOW
TO ADD THREE
DIGIT
NUMBERS.
THERE ARE A FEW
DIFFERENT
STRATEGIES
THAT WE CAN USE
FOR THIS, SO LET'S
CHECK IT OUT.
She clicks and a picture and numbers appear.
She continues THE FIRST
STRATEGY WE'RE
GOING TO USE IS USING
BASE TEN BLOCKS.
NOW IN
CASE YOU FORGOT
WHAT THOSE
LOOK LIKE,
HERE
THEY ARE.
THESE ARE
THE ONES,
THESE
ARE THE TENS,
AND THE SQUARES ARE
THE HUNDREDS.
LET'S TRY THIS
EXAMPLE OVER HERE,
ADDING 356
AND 148,
TO SEE WHAT
THAT WOULD LOOK LIKE,
USING THIS
STRATEGY.
SO IF
YOU NOTICE,
IN MY PLACE VALUE
CHART OVER HERE,
I'VE MODELLED
THE NUMBERS USING
BASE TEN
BLOCKS.
SO IN OUR
FIRST NUMBER, 356,
WE HAVE THREE
HUNDREDS,
ONE,
TWO, THREE.
FIVE TENS,
ONE, TWO,
THREE,
FOUR, FIVE.
AND SIX ONES- ONE,
TWO, THREE,
FOUR,
FIVE, SIX.
AND FOR MY SECOND
NUMBER.
I HAVE ONE
ONE HUNDRED,
FOUR TENS, AND
EIGHT ONES.
NOW AFTER
WE'VE MODELED
THE NUMBERS,
WHAT WE NEED TO
START DOING
IS GROUPING
THE NUMBERS IN
EACH PLACE
VALUE,
AND CARRYING THEM
OVER IF WE NEED TO.
WE'RE GOING TO
SEE HOW MANY
GROUPS OF TEN
THAT WE CAN MAKE,
STARTING WITH THE
ONES PLACE VALUE.
SO IF
YOU NOTICE,
WE CAN TAKE
THESE SIX,
AND ADD
FOUR MORE,
Using her finger, she circles in blue the blocks mentioned and continues AND THERE'S ONE
GROUP OF THEN.
IF WE JOIN
THEM ALL TOGETHER,
THAT WOULD MAKE
ONE TEN.
SO WHAT
WE'RE GOING TO DO
ACTUALLY IS CARRY
THIS OVER TO
THE TENS
PLACE VALUE AND
ADD A TEN OVER
HERE.
ALRIGHT, LET'S
TRY IT OUT NOW IN
THE TENS PLACE
VALUE.
IF WE ADD
THEM ALL TOGETHER,
YOU'LL SEE THAT
WE HAVE ONE
GROUP OF TEN
TENS, ALL TOGETHER.
IF WE JOIN THOSE
ALL TOGETHER,
THEY MAKE
ONE HUNDRED.
SO WE'RE GOING
TO CARRY
THAT OVER TO
THE NEXT PLACE VALUE,
AND ADD ONE
HUNDRED.
OKAY,
IF WE ADD UP ALL
THE HUNDREDS
THAT
WE HAVE.
WE'VE GOT ONE, TWO,
THREE, FOUR, FIVE.
SO WE CAN'T
MAKE A GROUP OF TEN
OUT OF THAT, SO WE'LL
JUST LEAVE IT
JUST
AS IT IS.
NOW THE LAST STEP
IS TO FIGURE OUT
HOW MANY WE
HAVE ALL TOGETHER
IN EACH PLACE
VALUE,
STARTING
AGAIN AT THE ONES
PLACE VALUE.
I HAVE FOUR LEFT
OVER HERE.
IN THE
ONES PLACE.
I HAVE NOTHING
LEFT OVER
IN THE
TENS PLACE,
AFTER I REGROUPED,
AND I HAVE ONE,
TWO, THREE,
FOUR, FIVE HUNDREDS
LEFT OVER HERE,
GIVING ME A
TOTAL
OF 504.
The screen clears. A blank three-column table appears.
She continues ALRIGHT, NEXT
STRATEGY.
USING
EXPANDED FORM.
NOW IN CASE YOU'VE
NEVER SEEN
NUMBERS IN
EXPANDED FORM,
IT'S KIND OF LIKE
STRETCHING OF
THE NUMBER TO
SEE WHAT THE TOTAL
IS IN EACH PLACE
VALUE.
SO LET'S START
WITH THIS NUMBER
OVER HERE
356.
IF I START
AT THE BEGINNING,
I HAVE THREE IN THE
HUNDRED PLACE VALUE.
IF I STRETCH
THAT OUT,
THAT WOULD
MAKE A TOTAL OF 300.
IN THE TENS
PLACE VALUE
I HAVE
FIVE TENS,
SO I HAVE 10, 20,
30, 40, 50.
I'M GOING TO
WRITE THAT IN
OVER HERE,
AND THE SIX ONES
CAN GO IN THERE,
JUST
LIKE THAT.
IN MY SECOND
NUMBER,
I HAVE 100, AND
I HAVE FOUR TENS.
SO 10, 20,
30, 40.
AND I HAVE A
TOTAL OF EIGHT ONES.
ONCE WE'VE WRITTEN
OUR NUMBERS
IN
EXPANDED FORM,
WE'RE GOING TO
TOTAL THE
NUMBERS IN
EACH PLACE VALUE.
SO THIS MAKES
14.
EIGHT PLUS
SIX MAKES 14,
50 PLUS 40, GIVES
ME 90
AND 300, PLUS
100, GIVES ME 400.
ALRIGHT, NOW, LAST
STEP IS TO
JUST SIMPLY ADD THE
NUMBERS GOING ACROSS.
YOU'LL NOTICE THAT
THE NUMBERS
ARE WAY
FRIENDLIER THAN BEFORE.
SO IF I START WITH
THE 90 AND THE 14
AND
COMBINE THOSE,
THAT GIVES ME A
TOTAL OF 104.
OVER HERE.
She writes down the steps mentioned and continues AND I'M GOING TO
ADD TO THAT 400 MORE.
TO GIVE ME A
TOTAL OF 504.
OKAY, IF
YOU NOTICE
I HAVE EXACTLY THE SAME
ANSWER AS BEFORE,
NO MATTER WHICH
STRATEGY WE USE.
YOU CHOOSE THE
STRATEGY THAT
YOU FEEL THE
MOST COMFORTABLE WITH.
TVO KIDS,
I HOPE YOU'VE
LEARNED SOMETHING
USEFUL TODAY ABOUT
ADDING
THREE
DIGIT NUMBERS.
THANKS FOR
JOINING ME!
Shahana stands next to a wall touch screen showing the title of a lesson. She is in her twenties, with shoulder-length brown hair. She wears a blue T-shirt with a print that reads "Home Work Zone."
She says HEY,
TVO KIDS!
I'M TEACHER
SHAHANA,
AND I'M
HERE TODAY,
TO SHOW YOU HOW
TO ADD THREE
DIGIT
NUMBERS.
THERE ARE A FEW
DIFFERENT
STRATEGIES
THAT WE CAN USE
FOR THIS, SO LET'S
CHECK IT OUT.
She clicks and a picture and numbers appear.
She continues THE FIRST
STRATEGY WE'RE
GOING TO USE IS USING
BASE TEN BLOCKS.
NOW IN
CASE YOU FORGOT
WHAT THOSE
LOOK LIKE,
HERE
THEY ARE.
THESE ARE
THE ONES,
THESE
ARE THE TENS,
AND THE SQUARES ARE
THE HUNDREDS.
LET'S TRY THIS
EXAMPLE OVER HERE,
ADDING 356
AND 148,
TO SEE WHAT
THAT WOULD LOOK LIKE,
USING THIS
STRATEGY.
SO IF
YOU NOTICE,
IN MY PLACE VALUE
CHART OVER HERE,
I'VE MODELLED
THE NUMBERS USING
BASE TEN
BLOCKS.
SO IN OUR
FIRST NUMBER, 356,
WE HAVE THREE
HUNDREDS,
ONE,
TWO, THREE.
FIVE TENS,
ONE, TWO,
THREE,
FOUR, FIVE.
AND SIX ONES- ONE,
TWO, THREE,
FOUR,
FIVE, SIX.
AND FOR MY SECOND
NUMBER.
I HAVE ONE
ONE HUNDRED,
FOUR TENS, AND
EIGHT ONES.
NOW AFTER
WE'VE MODELED
THE NUMBERS,
WHAT WE NEED TO
START DOING
IS GROUPING
THE NUMBERS IN
EACH PLACE
VALUE,
AND CARRYING THEM
OVER IF WE NEED TO.
WE'RE GOING TO
SEE HOW MANY
GROUPS OF TEN
THAT WE CAN MAKE,
STARTING WITH THE
ONES PLACE VALUE.
SO IF
YOU NOTICE,
WE CAN TAKE
THESE SIX,
AND ADD
FOUR MORE,
Using her finger, she circles in blue the blocks mentioned and continues AND THERE'S ONE
GROUP OF THEN.
IF WE JOIN
THEM ALL TOGETHER,
THAT WOULD MAKE
ONE TEN.
SO WHAT
WE'RE GOING TO DO
ACTUALLY IS CARRY
THIS OVER TO
THE TENS
PLACE VALUE AND
ADD A TEN OVER
HERE.
ALRIGHT, LET'S
TRY IT OUT NOW IN
THE TENS PLACE
VALUE.
IF WE ADD
THEM ALL TOGETHER,
YOU'LL SEE THAT
WE HAVE ONE
GROUP OF TEN
TENS, ALL TOGETHER.
IF WE JOIN THOSE
ALL TOGETHER,
THEY MAKE
ONE HUNDRED.
SO WE'RE GOING
TO CARRY
THAT OVER TO
THE NEXT PLACE VALUE,
AND ADD ONE
HUNDRED.
OKAY,
IF WE ADD UP ALL
THE HUNDREDS
THAT
WE HAVE.
WE'VE GOT ONE, TWO,
THREE, FOUR, FIVE.
SO WE CAN'T
MAKE A GROUP OF TEN
OUT OF THAT, SO WE'LL
JUST LEAVE IT
JUST
AS IT IS.
NOW THE LAST STEP
IS TO FIGURE OUT
HOW MANY WE
HAVE ALL TOGETHER
IN EACH PLACE
VALUE,
STARTING
AGAIN AT THE ONES
PLACE VALUE.
I HAVE FOUR LEFT
OVER HERE.
IN THE
ONES PLACE.
I HAVE NOTHING
LEFT OVER
IN THE
TENS PLACE,
AFTER I REGROUPED,
AND I HAVE ONE,
TWO, THREE,
FOUR, FIVE HUNDREDS
LEFT OVER HERE,
GIVING ME A
TOTAL
OF 504.
The screen clears. A blank three-column table appears.
She continues ALRIGHT, NEXT
STRATEGY.
USING
EXPANDED FORM.
NOW IN CASE YOU'VE
NEVER SEEN
NUMBERS IN
EXPANDED FORM,
IT'S KIND OF LIKE
STRETCHING OF
THE NUMBER TO
SEE WHAT THE TOTAL
IS IN EACH PLACE
VALUE.
SO LET'S START
WITH THIS NUMBER
OVER HERE
356.
IF I START
AT THE BEGINNING,
I HAVE THREE IN THE
HUNDRED PLACE VALUE.
IF I STRETCH
THAT OUT,
THAT WOULD
MAKE A TOTAL OF 300.
IN THE TENS
PLACE VALUE
I HAVE
FIVE TENS,
SO I HAVE 10, 20,
30, 40, 50.
I'M GOING TO
WRITE THAT IN
OVER HERE,
AND THE SIX ONES
CAN GO IN THERE,
JUST
LIKE THAT.
IN MY SECOND
NUMBER,
I HAVE 100, AND
I HAVE FOUR TENS.
SO 10, 20,
30, 40.
AND I HAVE A
TOTAL OF EIGHT ONES.
ONCE WE'VE WRITTEN
OUR NUMBERS
IN
EXPANDED FORM,
WE'RE GOING TO
TOTAL THE
NUMBERS IN
EACH PLACE VALUE.
SO THIS MAKES
14.
EIGHT PLUS
SIX MAKES 14,
50 PLUS 40, GIVES
ME 90
AND 300, PLUS
100, GIVES ME 400.
ALRIGHT, NOW, LAST
STEP IS TO
JUST SIMPLY ADD THE
NUMBERS GOING ACROSS.
YOU'LL NOTICE THAT
THE NUMBERS
ARE WAY
FRIENDLIER THAN BEFORE.
SO IF I START WITH
THE 90 AND THE 14
AND
COMBINE THOSE,
THAT GIVES ME A
TOTAL OF 104.
OVER HERE.
She writes down the steps mentioned and continues AND I'M GOING TO
ADD TO THAT 400 MORE.
TO GIVE ME A
TOTAL OF 504.
OKAY, IF
YOU NOTICE
I HAVE EXACTLY THE SAME
ANSWER AS BEFORE,
NO MATTER WHICH
STRATEGY WE USE.
YOU CHOOSE THE
STRATEGY THAT
YOU FEEL THE
MOST COMFORTABLE WITH.
TVO KIDS,
I HOPE YOU'VE
LEARNED SOMETHING
USEFUL TODAY ABOUT
ADDING
THREE
DIGIT NUMBERS.
THANKS FOR
JOINING ME!
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