Transcript Addition ~ Watch and Learn!

St. Bartholomew’s C of E Primary
School
Parents Guide to maths
+
x
Quit
Addition
Subtraction
Select an
operation to
become a
maths wizard!
Multiplication
Division
÷
*Only click when prompted to ensure all steps are seen.
Back to
menu
Select a stage!
⋆ Addition - Stage 1
⋆ Addition - Stage 2
⋆ Addition - Stage 3
Zap a
stage!
⋆ Addition - Stage 4
Back to
menu
Select a stage!
⋆ Subtraction - Stage 1
⋆ Subtraction - Stage 2
Zap a
stage!
⋆ Subtraction - Stage 3
⋆ Subtraction - Stage 4
Back to
menu
Select a stage!
⋆ Multiplication - Stage 1
⋆ Multiplication - Stage 2
Zap a
stage!
⋆ Multiplication - Stage 3
⋆ Multiplication - Stage 4
Back to
menu
Select a stage!
⋆ Division - Stage 1
⋆ Division - Stage 2
⋆ Division - Stage 3
Zap a
stage!
⋆ Division - Stage 4
Back to
menu
+ Addition
~ Watch and Learn!
Stage 1: slide 1 TU + U
Put the largest
number first
+
Then count on in
units
24 + 3 =
+1
+1
+1
______________________________
24
25
26
27
Select a
stage.
So 24 + 3 = 27
See TU+ TU
Back to
menu
+ Addition ~ Watch and Learn! +
Stage 1: slide 1 TU + TU
Begin by
drawing a
number line
starting with
the biggest
number
22 + 33 =
______________________________
33
Next
Back to
menu
+ Addition ~ Watch and Learn! +
Stage 1: slide 2 TU + TU
T
Add 2 tens
first
22 + 33 =
+10
+10
______________________________
33
43
53
Next
Back to
menu
+ Addition ~ Watch and Learn! +
Stage 1- slide 3
U
Then add 2 units
22 + 33 =
+10
+10
+1
+1
______________________________
33
43
53
54
55
Select a
stage.
So 22 + 33 is 55
See HTU+ HTU
Back to
menu
+ Addition
~ Watch and Learn!
Stage 1: Slide 1 HTU+ HTU
Add in steps of 100
first then the tens.
+
Then add away the
tens. Then the units.
347 + 123 =
347 ______________________________
+100
+20
+3
447
467
470
Select a
stage.
Place the largest
number at the
beginning of the line.
So 347 + 123 = 470
Back to
menu
+ Addition ~ Watch and Learn! +
Stage 2: slide 1 TU + TU
Start by
partitioning
the tens
and the
units.
TU TU
36 + 43 =
(30+6) +(40+ 3)
30 + 40
6 + 3
Next
Back to
menu
+ Addition ~ Watch and Learn! +
Stage 2: slide 2 TU + TU
Add the tens
together and then
the units.
36 + 43 =
(30+6) + (40+ 3)
30 + 40 = 70
6 + 3 = 9
Select a
stage.
70
+
9 = 79
So 36 + 43 is 79
See HTU+ HTU
Back to
menu
+ Addition ~ Watch and Learn! +
Stage 2: Slide 1 HTU + HTU
236 + 343 =
(200+ 30+6) + (300 + 40+ 3)
200 + 300 = 500
30 + 40 = 70
6 + 3 = 9
Select a
stage.
500 + 70
+
Add the hundreds
together and then
the tens and units.
9 = 579
So 236 + 343 is 579
Back to
menu
+ Addition ~ Watch and Learn! +
Stage 3: slide 1 TU+ TU
47 + 76 =
Write the
numbers so
that the Tens
and the Units
are in line.
TU
47
+ 76
Next
Back to
menu
+ Addition ~ Watch and Learn! +
Stage 3:slide 2 TU + TU
47 + 76 =
U
47
+ 76
Start by
adding the
the units.
7+6=
13
Next
Back to
menu
+ Addition ~ Watch and Learn! +
Stage 3:slide 3 TU + TU
47 + 76 =
T
47
+ 76
Then add
the tens.
40 + 70 =
13
110
Next
Back to
menu
+ Addition ~ Watch and Learn! +
Stage 3: slide 4 TU + TU
47 + 76 =
47
+ 76
Select a
stage.
13
+ 110
123
Now add
these
together
110 + 13 =
So 47 + 76 is 123
HTU + HTU
Back to
menu
+ Addition ~ Watch and Learn! +
Stage 3: slide 1 HTU + HTU
247 + 176 =
247
+ 176
Select a
stage.
13
+ 110
300
423
Set out as before. Add the
units and tens as before and
record.
The extra step, add the
hundreds together
200 + 100 = 300
Then add the numbers.
So 247 + 176 is 423
Back to
menu
+ Addition ~ Watch and Learn! +
Stage 4: slide 1 TU + TU
47 + 76 =
Next
Write the
numbers so
that the Tens
and the Units
are in line.
TU
47
+ 76
Back to
menu
+ Addition ~ Watch and Learn! +
Stage 4: slide 2 TU + TU
47 + 36 =
Exchange 10 units
for 1 ten. This
goes onto the door
step.
U
47
+ 36
1
3
Now add the units
7 + 6 = 13
3 units go in the
units column
Next
Back to
menu
+ Addition ~ Watch and Learn! +
Stage 4: slide 3 TU + TU
47 + 36 =
T
47
Now add the tens
40 + 30 = 70
+ 36
1
83
Select a
stage.
You need to put the ten
digit in the tens column
Remember there is one ten
here to add too. 7 tens + 1
ten = 8 tens
So 47 + 36 is 83
See HTU + HTU
Back to
menu
+ Addition ~ Watch and Learn! +
Stage 4: Slide 1 HTU + HTU
Carry any units over 9,
147 + 186 =
147
+ 186
11
333
Select a
stage.
any tens over 90.
Remember to add the
carry!
7 + 6 = 13 carry the ten
40 + 80 + 10 = 130 carry
the hundred
100 + 100 + 100 = 300
So 147 + 186 is 333
Back to
menu
- Subtraction ~ Watch and Learn! Stage 1: slide 1 TU-U
32 - 3 =
Count back the
correct amount of
units e.g. 3 units = 3
jumps of 1 .
Remember to count
back in 1’s
32
-1
-1
-1
______________________________
29
30
31
Select a
stage.
So 32-3 = 29
See TU-TU
Place the largest
number at the end of
the line.
Back to
menu
- Subtraction ~ Watch and Learn! -
Stage 1:slide 1 TU - TU
Then take away in
jumps of 1. 3 units
equal 3 jumps.
Take away in steps of
10 first as this is
easier. 23 = 2 tens.
47 - 23 =
24 -1
-1
-1
-10 -10 47
______________________________
25
26
27
37
Select a
stage.
Place the largest
number at the end of
the line.
So 47 – 23 = 24
See HTU-HTU
Back to
menu
- Subtraction ~ Watch and Learn! Stage 1: slide 1 HTU-HTU
Then take away the
tens. Then the units.
347 - 123 =
Take away in steps of
100 first as this is
easier. 123 = 1 jump
of 100.
347
-100
-3
-20
______________________________
224
227
247
Select a
stage.
Place the largest
number at the end of
the line.
So 347 – 123 = 224
Back to
menu
- Subtraction ~ Watch and Learn!
-
Stage 2: slide 1 TU -TU
Start by
partitioning
the tens
and the
units.
TU TU
89 - 43 =
89 – 40 - 3
Next
Back to
menu
- Subtraction ~ Watch and Learn! Stage 2: slide 2 TU -TU
Subtract the tens
first. Then subtract
the units from your
first answer.
89 – 43 =
89 – 40 - 3
89 - 40 = 49
49 – 3 = 46
Select a
stage.
So 89 - 43 is 46
See HTU-HTU
Back to
menu
- Subtraction ~ Watch and Learn!
-
Stage 2: slide 1 HTU - HTU
489 – 243 =
489 – 200 -40 - 3
489 - 200 = 289
289 – 40 = 249
Select a
stage.
Subtract the
hundreds first.
Then subtract the
then tens from your
first answer. Then
the units
249 – 3 = 246
So 289 - 243 is 246
Back to
menu
- Subtraction ~ Watch and Learn! Stage 3 :slide 1
563 - 241 =
500 + 60 + 3
Partition 563 into
hundreds, tens and units.
- 200 + 40 + 1
Repeat with 241
Next
Back to
menu
- Subtraction ~ Watch and Learn! Stage 3: slide 2
563 - 241 = H
T
U
500 + 60 + 3
- 200 + 40 + 1
300 + 20 + 2
Start with the units
3–1=2
Next, subtract the hundreds
500 – 200 = 300
Next
Next, subtract the tens
60 – 40 = 20
Back to
menu
- Subtraction ~ Watch and Learn! Stage 3: slide 3
563 - 241 =
500 + 60 + 3
Add the answers together
- 200 + 40 + 1
- 300
200 + 20 + 2 = 322 300 + 20 + 2 = 322
Select a
stage.
So 563 - 241 = 322
Back to
menu
- Subtraction ~ Watch and Learn! Stage 4: slide 1 Decomposition
137 - 85 =
HTU
137
Write the numbers so that
they are in place value
position.
- 85
Next
Back to
menu
- Subtraction ~ Watch and Learn! Stage 4: slide 2
137 - 85 =
The tens column now
has 130 in it and the
hundred has 0.
Next
0
1
1 3 7
- 8 5
2
Cross out the
hundred and leave a
0 above. The 100 is
put in the tens as a 1.
Subtract the units
first. 7 – 5 =
And write under the
units.
The tens can’t be
subtracted as 30 –
80 = - 50
Borrow 1 hundred
from the hundred
column.
Back to
menu
- Subtraction ~ Watch and Learn! Stage 4: slide 3
137 - 85 =
There are 0 hundreds to
subtract.
0
1
1 3 7
- 8 5
5 2
Select a
stage.
Now solve 130 – 80
and write the answer.
So 137 - 85 = 52
Back to
menu
x Multiplication ~ Watch and Learn! x
Stage1:slide 1 Partition the 14 into 2 parts, tens and
units.
14 x 5 =
= 10 x 5
= 4 x 5
Next
Back to
menu
x Multiplication ~ Watch and Learn! x
Stage 1: slide 2
14 x 5 =
10 x 5
= 50
4 x 5
= 20
Select a
stage.
Now add 50 + 20 and
write the answer.
So 14 x 5 = 70
Back to
menu
x Multiplication ~ Watch and Learn! x
Stage 2: slide 1 Grid Method
10
16 x 4 =
4
6
Partition
16 into 1
ten and 6
units
Draw a box two across and one
down because you are multiplying
a 2 digit number by a 1 digit
number.
Next
Back to
menu
x Multiplication ~ Watch and Learn! x
Stage 2: slide 2
16 x 4 =
x
4
10
40
The answer to
10 x 4 goes
here.
Select a
stage.
The answer to 4
x 6 goes here.
6
24
Now add these
answers together.
40 + 24 =
So 16 x 4 = 64
See TU x TU
See HTU x U
Back to
menu
x Multiplication ~ Watch and Learn! x
TU x TU slide 1
56 x 27 =
20
Partition
56 into 5
tens and 6
units
7
Partition
27 into 2
tens and 7
units
50
6
Next
Back to
menu
x Multiplication ~ Watch and Learn! x
TU x TU slide 2
56 x 27 =
The answer to
50 x 20 goes
here.
The answer to 6
x 20 goes here.
x
20
7
50
1000
350
6
120
42
The answer to
50 x 7 goes
here.
The answer to 6 x
7 goes here
Next
Back to
menu
x Multiplication ~ Watch and Learn! x
TU x TU slide 3
56 x 27 =
Select a
stage.
x
20
7
50
1000
350
6
120
42
Add these four numbers
together.
1000 + 350 + 120 + 42 =
Children can use the
addition methods to help
them add.
So 56 x 27 = 1512
See HTU x U
Back to
menu
x Multiplication ~ Watch and Learn! x
HTU x U slide 1
Partition 126 into 1 hundred,
126 x 4 =
2 tens and 6 units
100
20
6
4
Next
Back to
menu
x Multiplication ~ Watch and Learn! x
HTU x U slide 2
126 x 4 =
Partition 126 into 100,
20 and 6
100
The answer to 4 4
x 100 goes here.
400
20
80
6
The answer to 6
x 4 goes here.
24
The answer to 20
x 4 goes here
Next
Back to
menu
x Multiplication ~ Watch and Learn! x
HTU x U slide 3
126 x 4 =
100
4
400
20
80
6
24
Add 400 + 80 + 24
Select a
stage.
So 126 x 4 = 504
See TU x TU
Back to
menu
x Multiplication ~ Watch and Learn! x
Stage 3: slide 1
38 x 7 =
Set the sum
out like this
so that the
numbers are
in the correct
columns.
TU
38
x 7
Next
Back to
menu
x Multiplication ~ Watch and Learn! x
Stage 3: slide 2
38 x 7 =
38
Multiply the units by 7
7 x 8 = 56
x 7
56
Next
210
Multiply the tens by 7
7 x 30 = 210
Back to
menu
x Multiplication ~ Watch and Learn! x
Stage 3:slide 3
38 x 7 =
38
x 7
56
210
266
Select a
stage.
Now add these two
answers together. 56 +
210.
So 38 x 7 = 266
See TU x TU
Back to
menu
x Multiplication ~ Watch and Learn! x
TU x TU slide 1
TU
15 x 24 =
Set the sum
out like this
so that the
numbers are
in the correct
columns.
15
x 24
Next
Back to
menu
x Multiplication ~ Watch and Learn! x
TU x TU slide 2
15 x 24 =
15
X 24
Multiply by the units
4 x 5 = 20 and
4 x 10 = 40
20
Next
40
Back to
menu
x Multiplication ~ Watch and Learn! x
TU x TU slide 3
15 x 24 =
15
X 24
Next
20
40
100
200
Multiply by tens
20 x 5 = 100 and
20 x 10 = 200
Back to
menu
x Multiplication ~ Watch and Learn! x
TU x TU slide 4
15 x 24 =
Select a
stage.
15
X 24
20
40
100
200
Now add these numbers
together.
360
So 15 x 24 = 360
Back to
menu
x Multiplication ~ Watch and Learn! x
Stage 4: slide 1
38 x 7 =
Set the sum
out like this
so that the
numbers are
in the correct
columns.
TU
38
x 7
Next
Back to
menu
x Multiplication ~ Watch and Learn! x
Stage 4: slide 2
38 x 7 =
38
x 57
6
Next
Now multiply 7 x 8 = 56
and write the units and
carry the tens onto the
door step
Back to
menu
x Multiplication ~ Watch and Learn! x
Stage 4: slide 3
38 x 7 =
38
x 7
2 5
66
Next
Now multiply 7 x 30= 210
and add the 5 tens to the
210 and which gives 260
write this, carrying the
two hundreds onto the
door step
Back to
menu
x Multiplication ~ Watch and Learn! x
Stage 4: slide 4
38
38 x 7 =
x 7
2 5
2 66
Now put the hundreds
into the answer
Select a
stage.
So 38 x 7 = 266
See TUxTU
Back to
menu
x Multiplication ~ Watch and Learn! x
Set out as shown.
TU x TU – Zero the Hero First multiply
38 x 27 =
Nb. Each number is
considered as a unit in this
calculation to make it easier.
eg. 30 is 3 and 20 is 2.
7 x 8 = 56.
38
Carry the 5 tens and record
the 6.
x 27
Then 7 x 3 = 21 plus the 5 =
26 (record)
1 5
2 66
760
Next place Zero the Hero
into the units column.
Now 2 x 8 = 16
Next
Carry the 1 and record the
6.
Now 2 x 3 = 6 and add to
the 1 carry
Back to
menu
x Multiplication ~ Watch and Learn! x
TU x TU – Zero the Hero
38
38 x 27 =
Nb. Each number is
considered as a unit in this
calculation to make it easier.
eg. 30 is 3 and 20 is 2.
Finally add 266 and 760.
x 27
1 5
2 66
760
1 1
Select a
stage.
10 2 6
So 38 x 27 = 1026
Back to
menu
÷ Division ~ Watch and Learn! ÷
Stage 1: slide 1 Repeated subtraction
Write the number to
divide at the end of a
number line.
24 ÷ 3 =
0
-3
-3
3
Select a
stage.
-3
6
-3
9
-3
12
15
Now count the
number of jumps. 8
jumps
So 24 ÷ 3 = 8
-3
18
-3
-3
21
24
Jump back in 3s (the
divider) until no more
can be taken.
See remainders
Back to
menu
÷ Division ~ Watch and Learn! ÷
Stage 1: slide 2 Repeated subtraction
Write the number to
divide at the end of a
number line.
25 ÷ 3 =
0 -1
-3
1
-3
4
Select a
stage.
-3
7
-3
10
-3
13
Now count the
number of jumps. 8
jumps. You are left
with 1
-3
16
So 24 ÷ 3 = 8 r 1
19
-3
22
25
Jump back in 3s (the
divider) until no more
can be taken or you
reach
See Partitioning
Back to
menu
÷ Division ~ Watch and Learn! ÷
Stage1:slide 3 Partition the 63 into 2 parts, tens and
units.
63 ÷ 3 =
= 60 ÷ 3
= 3 ÷ 3
Next
Back to
menu
÷ Division ~ Watch and Learn! ÷
Stage 1: slide 2
63 ÷ 3 =
60 ÷ 3
3 ÷ 3
= 20
Now add 20 + 1 and
write the answer.
= 1
Select a
stage.
So 63 ÷ 3 = 21
Back to
menu
÷ Division ~ Watch and Learn! ÷
Stage 2: slide 1- chunking
Two ways to set out
63 ÷ 3 =
or
3
63
Next
Back to
menu
÷ Division ~ Watch and Learn! ÷
Stage 2: slide 2
63 ÷ 3 = 21
21
3
30 + 30 + 3 = 63 so we
have taken all chunks
possible.
63
30
(3 x 10)
30
3
(3 x 10)
(3 x 1)
Children will look for chunks.
First take chunks (multiples)
of 10,then 5 and then single
units until you have the
divided number - 63
Add the chunks.
10 + 10 + 1 = 21
Select a
stage.
So 63 ÷ 3 = 21
Back to
menu
÷ Division ~ Watch and Learn! ÷
Stage 3: slide 1– Long division
Record the chunk in
brackets and put
the answer
underneath the
original number.
Subtract the chunk
from the divided
number. Then look
for more chunks.
Next
33
6
198
- 180 (6 x 30)
18
- 18 (6 x 3)
0
Children will look for
chunks.
Try to use multiples
of 10, 20, 30 etc to
remove the largest
possible multiple of
6.
Once all chunks have
been taken and 0 or
a remainder is left,
show the answer at
the top by adding
the chunks.
30 + 3 = 33
So 198 ÷ 6 = 33
Back to
menu
÷ Division ~ Watch and Learn! ÷
Stage 3: slide 2 With remainders
HTU ÷ TU
Record the chunk in
brackets and put
the answer
underneath the
original number.
Subtract the chunk
from the divided
number. Then look
for more chunks.
23 r 8
24
560
- 480 (24 x 20)
80
- 72 (24 x 3)
8
Select a
stage.
So 560 ÷ 24 = 23 r 8
Children will look for
chunks.
Try to use multiples
of 10, 20, 30 etc to
remove the largest
possible multiple of
24.
Once all chunks have
been taken and 0 or
a remainder is left,
show the answer at
the top by adding
the chunks. There is
not enough to make
another 24 so there
is a remainder of 8.
20 + 3 = 23 r 8
Back to
menu
÷ Division ~ Watch and Learn! ÷
Stage 4: slide 1 short division
81 ÷ 3 =
27
2
8 1
3
Regard each digit on its own.
Work from left to right.
Mental Working
•How many 3’s are in 8?
•2 with 2 remaining.
•Record the 2 above the line. Then carry the remaining 2 over.
•Record the 2 next to the one making 21.
Next
•How many 3’s in 21 = 7. Record above the 21.
So 81 ÷ 3 = 27
Back to
menu
÷ Division ~ Watch and Learn! ÷
Stage 4: slide 2 ~ With remainders
224 ÷ 12 =
Mental Working
01 8 r 8
12
2 10
2 2 4
Regard each digit on its own.
Work from left to right.
•How many 12s are in 2?
•0 with 2 remaining.
•Record the 0 above the line. Then carry the remaining 2 over.
•Record the 2 next to the two making 22.
Next
•How many 12s in 22 = 1 – Record above the 22.
•Carry the 10 and record how many 12s in 104.
•Record the 8 and remember the 8 remaining.
So 224 ÷ 12 = 18 r8
Back to
menu
÷ Division ~ Watch and Learn! ÷
Stage 4: slide 3 ~ With decimals
250 ÷ 4 =
Mental Working
4
•How many 4s are in 2?
06 2. 5
2 1
2
2 5 0. 0
•0 with 2 remaining.
•Record the 0 above the line. Then carry the remaining 2 over making 25.
•How many 4s in 25 = 6 with 1 remainder. Record above the 25.
•Carry the 1 and record how many 4s in 10 = 2 with 2 remaining.
•Now add a decimal point and carry the 2
Select a
stage.
making 20.
•How many 4s in 20 = 5. Record above
•Only record to a maximum of 2 decimal places.
So 250 ÷ 4 = 62.5
Back to
menu