The Paw-shake Problem Billy is a Dog Trainer. He loves to train dogs to do lots of tricks! ? His...
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Transcript of The Paw-shake Problem Billy is a Dog Trainer. He loves to train dogs to do lots of tricks! ? His...
![Page 1: The Paw-shake Problem Billy is a Dog Trainer. He loves to train dogs to do lots of tricks! ? His favourite is to teach them how to shake hands.](https://reader036.fdocuments.net/reader036/viewer/2022062321/56649f125503460f94c253e2/html5/thumbnails/1.jpg)
The Paw-shakeProblem
Billy is a Dog Trainer.
He loves to train dogs to do lots of tricks!
?
His favourite is to teach them how to shake hands.
![Page 2: The Paw-shake Problem Billy is a Dog Trainer. He loves to train dogs to do lots of tricks! ? His favourite is to teach them how to shake hands.](https://reader036.fdocuments.net/reader036/viewer/2022062321/56649f125503460f94c253e2/html5/thumbnails/2.jpg)
The Paw-shakeProblem
One day, Billy thought to himself…
“If I could teach all the dogs to shake hands with each other…
…how many paw-shakes would there be?”
![Page 3: The Paw-shake Problem Billy is a Dog Trainer. He loves to train dogs to do lots of tricks! ? His favourite is to teach them how to shake hands.](https://reader036.fdocuments.net/reader036/viewer/2022062321/56649f125503460f94c253e2/html5/thumbnails/3.jpg)
Let’s start with
2 dogs
1 paw-shake
How many paw-shakes will
there be?
?
![Page 4: The Paw-shake Problem Billy is a Dog Trainer. He loves to train dogs to do lots of tricks! ? His favourite is to teach them how to shake hands.](https://reader036.fdocuments.net/reader036/viewer/2022062321/56649f125503460f94c253e2/html5/thumbnails/4.jpg)
How about…
3 dogsHow many
paw-shakes will there be?
3 paw-shakes?
![Page 5: The Paw-shake Problem Billy is a Dog Trainer. He loves to train dogs to do lots of tricks! ? His favourite is to teach them how to shake hands.](https://reader036.fdocuments.net/reader036/viewer/2022062321/56649f125503460f94c253e2/html5/thumbnails/5.jpg)
1paw-shake
Rocky shook Dexter’s paw
How did Billy get the answer
of…
3 paw-shakes
?
That means…
3paw-shakes
2paw-shakes
Rocky shook Theo’s paw
Dexter shook Theo’s paw
Each dogs shakes paws
2 times!Remember…
![Page 6: The Paw-shake Problem Billy is a Dog Trainer. He loves to train dogs to do lots of tricks! ? His favourite is to teach them how to shake hands.](https://reader036.fdocuments.net/reader036/viewer/2022062321/56649f125503460f94c253e2/html5/thumbnails/6.jpg)
Let’s start making a
table…
How many paw-shakes have
we counted so far?
Number ofpaw-shakes
Number of Dogs
2 1
3 3
Let’s continue the table…
How many paw-shakes would there be if there
were 4 dogs?
4 ?
![Page 7: The Paw-shake Problem Billy is a Dog Trainer. He loves to train dogs to do lots of tricks! ? His favourite is to teach them how to shake hands.](https://reader036.fdocuments.net/reader036/viewer/2022062321/56649f125503460f94c253e2/html5/thumbnails/7.jpg)
Number ofpaw-shakes
Number of Dogs
2Work out your answer on a
piece of paper with your
table group.
Havea go!
1
3 3
4 ?
1 0
![Page 8: The Paw-shake Problem Billy is a Dog Trainer. He loves to train dogs to do lots of tricks! ? His favourite is to teach them how to shake hands.](https://reader036.fdocuments.net/reader036/viewer/2022062321/56649f125503460f94c253e2/html5/thumbnails/8.jpg)
Group 6Group 5Group 4Group 3Group 2Group 1
What answer did your group come
up with?
How did your group come up
with that answer?
Use the dogs below to show
your working out.
12 34 56
![Page 9: The Paw-shake Problem Billy is a Dog Trainer. He loves to train dogs to do lots of tricks! ? His favourite is to teach them how to shake hands.](https://reader036.fdocuments.net/reader036/viewer/2022062321/56649f125503460f94c253e2/html5/thumbnails/9.jpg)
Let’s look at theproblem
another way.
1
2
3
4
5
6
Theo can’tshake hisown paw.
![Page 10: The Paw-shake Problem Billy is a Dog Trainer. He loves to train dogs to do lots of tricks! ? His favourite is to teach them how to shake hands.](https://reader036.fdocuments.net/reader036/viewer/2022062321/56649f125503460f94c253e2/html5/thumbnails/10.jpg)
… and another
way.
1
2
3Theo can’tshake hisown paw.
![Page 11: The Paw-shake Problem Billy is a Dog Trainer. He loves to train dogs to do lots of tricks! ? His favourite is to teach them how to shake hands.](https://reader036.fdocuments.net/reader036/viewer/2022062321/56649f125503460f94c253e2/html5/thumbnails/11.jpg)
4 dogsHow many
paw-shakes would there be?
6 paw-shakes?
![Page 12: The Paw-shake Problem Billy is a Dog Trainer. He loves to train dogs to do lots of tricks! ? His favourite is to teach them how to shake hands.](https://reader036.fdocuments.net/reader036/viewer/2022062321/56649f125503460f94c253e2/html5/thumbnails/12.jpg)
10
Number ofpaw-shakes
Number of Dogs
2 1
3 3
4 6
Can you see a pattern forming?
?
5 ?
1
2
3
4
0
10
What if…
5 dogs shook paws?
![Page 13: The Paw-shake Problem Billy is a Dog Trainer. He loves to train dogs to do lots of tricks! ? His favourite is to teach them how to shake hands.](https://reader036.fdocuments.net/reader036/viewer/2022062321/56649f125503460f94c253e2/html5/thumbnails/13.jpg)
Can you see a pattern in this
table?
10
Number ofpaw-shakes
Number of Dogs
2 1
3 3
4 6
5
Let’s add thenumber of dogs with
the number of paw-shakes!
3
6Work out
the pattern with your group
10
![Page 14: The Paw-shake Problem Billy is a Dog Trainer. He loves to train dogs to do lots of tricks! ? His favourite is to teach them how to shake hands.](https://reader036.fdocuments.net/reader036/viewer/2022062321/56649f125503460f94c253e2/html5/thumbnails/14.jpg)
Work out The next part of the
table with your group.
Number ofpaw-shakes
Number of Dogs
2 1
3 3
4 6
1 0
Create a number
sequence.
What if…
6 dogs shookpaws?!
5 10
6 ?