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The Chefs Amazing Soup

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by

Carrie Cunningham

on 28 June 2014

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Transcript of The Chefs Amazing Soup

The Chefs Amazing Soup
Adding and Subtracting Integers
In a far-off land, there was once a team of amazing chefs who cooked up the most wonderful soups ever imagined. They prepared their mixtures over a huge cauldron, and their work was very delicate and complex. During the cooking process, they frequently had to
change the temperature
of the cauldron in order to bring out certain flavors and to cook the soup to perfection.
Changing the temperature
They adjusted the temperature of the soups either by
adding
special
hot

cubes or
cold

cubes to the cauldron or by
removing
some of the
hot

or

cold
cubes that were already in the cauldron.
The

cold
cubes were similar to ice cubes except they didn't melt, and the

hot
cubes were similar to charcoal briquettes, except they didn't lose their heat.
Zero Pairs (+1 + -1 = 0)
If the number of
hot
cubes in the cauldron was
the same as
the number of
cold
cubes, the temperature of the cauldron was 0 degrees on their temperature scale.
For each
hot
cube that was
put into
the cauldron, the temperature went
up
1 degree; for each
hot
cube
removed
, the temperature went
down
1 degree.
Similarly, each
cold
cube
put in
lowered

the temperature 1 degree and each
cold
cube
removed
raised
it 1 degree.
Adding cubes
Suppose
4 hot
cubes and
10 cold
cubes were dumped into the cauldron. Then the temperature would be
lowered
by 6 degrees altogether, since
4 of the 10 cold cubes would balance out the 4 hot cubes
, leaving 6 cold cubes to lower the temperature 6 degrees.
The chefs would write +4 + -10 = -6 to represent their actions and the overall final results of those actions.
Subtracting Cubes
If they added 3 hot cubes and then removed 2 cold cubes, the combined result would be to raise the temperature 5 degrees.
In that case, they would write +3 - -2 = +5

And if they wrote -5 - +6 = -11 it would mean that first 5 cold cubes were added to the cauldron and then 6 hot cubes were removed, and that the combined result was to lower the temperature 11 degrees.
One HOT cube
One COLD Cube
EQUALS ZERO
hence the name,
"ZERO PAIR"
What happens when we add one hot and one cold?
4 HOT Cubes
10 COLD Cubes
RESULT:
6 degrees lower
Example

3 HOT Cubes added
There were already some zero pairs in there!
Take out 2 Cold Cubes
Example
What's left behind?
Wondering what we might do about the subtraction part?

After we get a little more practice adding integers, we'll revisit the story and begin subtracting integers.

If you want to practice more adding integers, try this website:
http://nlvm.usu.edu/en/nav/frames_asid_161_g_2_t_1.html?open=activities
We'll be using this website for more practice later in the week as well.
Now you try it!
Using the worksheet you got at school today, answer the questions about adding integers! Try to come up with a rule and be prepared to discuss your findings with your table group tomorrow! Refer back to the story if you need.

Lose your paper? No worries!
Find it here:
https://drive.google.com/a/aliefisd.net/file/d/0Bxk7gbZ7vxgMSFZ2bTE0NVFna2M/edit?usp=sharing
Full transcript