**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