The Negative Cauldron Experiment with Severus Snape
The Negative
Cauldron
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When carrying out our very
important work in protecting
against the dark arts, the
temperature of the cauldron is
essential!
For this reason, when preparing
the cauldron for a spell, we will
use traditional fire cubes and
ice cubes.
Even Potter would know that
when adding a single ice cube
to a cauldron, it will lower the
temperature of the cauldron by
one degree...
And of course, when adding a
fire cube...
...the temperature will increase
by one degree
Mathematically
speaking – if you must
– an ice cube is worth
negative one
And of course a fire
cube is worth
positive one
Imagine, if you will, that our
cauldron begins at the
temperature of
ten degrees.
20
10
0
10
What will happen if I add
4 fire cubes?
20
10
0
10
10 +
4
= 14
What will happen if I now
subtract 6 fire cubes?
20
10
0
10 + 4 = 14
14
14 –
6
=
8
Okay... Something harder.
I’ve changed the
thermometer.
10
0
ˉ10
8 ―
10
=
ˉ2
What will happen if I now
subtract 10 fire cubes?
When you
subtract a larger
positive number
from a smaller
one, you get a
negative number
Try a few of your own...
Go on!
1.
Write this as a number sentence first:
What happens if I start at 5 degrees and
then subtract 6 fire cubes?
2.
5 –
7
=
3.
4 –
9
=
4.
1 –
2
=
5.
0 –
3
=
What about if the temperature starts
negative?
6.
ˉ5 –
3
=
Too easy I think.
Let’s try something harder.
10
0
ˉ10
2 +
ˉ4
=
ˉ2
What will happen if I take a
cauldron at 2 degrees and I
add 4 ice cubes?
Think carefully!
When you add a
negative,
then the total goes down.
It’s a bit like subtracting
10
0
ˉ10
8 +
ˉ5
=
3
Let’s try another just to
check. What happens if I
start at 8 degrees and I
add 5 ice cubes?
When you add a
negative,
then the total goes down.
It’s a bit like subtracting
Let’s write the calculation first
10
0
ˉ10
ˉ2 +
ˉ3
=
ˉ5
But what if it’s already
negative? What happens if I
start at ˉ2 degrees and
add 3 ice cubes?
When you add a
negative,
then the total goes down.
It’s a bit like subtracting
Let’s write the calculation first
Try a few of your own...
Go on!
1.
Write this as a number sentence first:
What happens if I start at 3 degrees and
then add 5 ice cubes?
2.
4 + ˉ 9 =
3.
1 + ˉ 2 =
4.
0 + ˉ 3 =
5.
Write this as a number sentence first:
What happens if I start at ˉ12 degrees
and then I add 3 ice cubes?
6.
ˉ5 + ˉ7 =
7.
ˉ5 + 7 =
Okay... Let’s see if you’re
really up to it!
What happens if I start
taking ice cubes out?
10
0
ˉ10
2 ―
ˉ4
=
6
What will happen if I take a
cauldron at 2 degrees and I
subtract 4 ice cubes?
Think carefully!
When you subtract a
negative,
the total goes up.
It’s a bit like adding
10
0
ˉ10
ˉ2 ―
ˉ6
=
4
But what if it starts off
negative? What happens if I
start at ˉ2 degrees and
subtract 6 ice cubes?
When you subtract a
negative,
the total goes up.
It’s a bit like adding.
Let’s write the calculation first
10
0
ˉ10
ˉ5 ―
ˉ3
=
ˉ2
Let’s try one more together.
The cauldron is at ˉ5 degrees.
I
subtract 3 ice cubes?
When you subtract a
negative,
the total goes up.
It’s a bit like adding.
Let’s write the calculation first
Try a few of your own...
Go on!
1.
Write this as a number sentence first:
My cauldron is at 3 degrees and I subtract
5 ice cubes. What is the new
temperature?
2.
14 + ˉ 9 =
3.
4 ― ˉ 7 =
4.
ˉ 8 ― ˉ 3 =
5.
ˉ12 ― ˉ 5 ?
6.
ˉ5 ― ˉ5 =
7.
ˉ5 ― ˉ7 =
Explore the intriguing world of potions with Professor Snape in "The Negative Cauldron" experiment. Dive into the mathematical mysteries of adding and subtracting ice and fire cubes to control cauldron temperatures. Test your skills in potion-making as you solve temperature puzzles and learn the art of balancing elements in this engaging activity.
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Presentation Transcript
The Negative Cauldron with Severus Snape Professor of Potions
Even Potter would know that when adding a single ice cube to a cauldron, it will lower the temperature of the cauldron by When carrying out our very important work in protecting against the dark arts, the temperature of the cauldron is essential! one degree... And of course, when adding a fire cube... For this reason, when preparing the cauldron for a spell, we will use traditional fire cubes and ice cubes. by one degree ...the temperature will increase
Mathematically speaking if you must an ice cube is worth negative one And of course a fire cube is worth positive one 1 +1 1
Imagine, if you will, that our cauldron begins at the temperature of ten degrees. 20 10 0 10
20 What will happen if I add 4 fire cubes? 10 0 10 10 + 4 = 14
20 What will happen if I now subtract 6 fire cubes? 10 0 10 + 4 = 14 14 14 6 = 8
When you subtract a larger positive number from a smaller one, you get a negative number Okay... Something harder. I ve changed the thermometer. 10 What will happen if I now subtract 10 fire cubes? 0 10 8 10 = 2
1. Write this as a number sentence first: What happens if I start at 5 degrees and then subtract 6 fire cubes? Try a few of your own... Go on! 2. 5 7 = 3. 4 9 = 4. 1 2 = 5. 0 3 = What about if the temperature starts negative? 6. 5 3 =
What will happen if I take a cauldron at 2 degrees and I 10 Too easy I think. Let s try something harder. add 4 ice cubes? Think carefully! 0 When you add a negative, then the total goes down. It s a bit like subtracting 10 2 + 4 = 2
Lets try another just to check. What happens if I start at 8 degrees and I add 5 ice cubes? 10 0 When you add a negative, then the total goes down. It s a bit like subtracting 10 Let s write the calculation first 8 + 5 = 3
But what if its already negative? What happens if I start at 2 degrees and add 3 ice cubes? 10 0 When you add a negative, then the total goes down. It s a bit like subtracting 10 Let s write the calculation first 2 + 3 = 5
1. Write this as a number sentence first: What happens if I start at 3 degrees and then add 5 ice cubes? Try a few of your own... Go on! 2. 4 + 9 = 3. 1 + 2 = 4. 0 + 3 = 5. Write this as a number sentence first: What happens if I start at 12 degrees and then I add 3 ice cubes? 6. 5 + 7 = 7. 5 + 7 =
What will happen if I take a cauldron at 2 degrees and I subtract 4 ice cubes? Okay... Let s see if you re really up to it! What happens if I start taking ice cubes out? Think carefully! 10 0 When you subtract a negative, the total goes up. It s a bit like adding 10 2 4 =6
But what if it starts off negative? What happens if I start at 2 degrees and subtract 6 ice cubes? 10 0 When you subtract a negative, the total goes up. It s a bit like adding. 10 Let s write the calculation first 2 6 = 4
Lets try one more together. The cauldron is at 5 degrees. I subtract 3 ice cubes? 10 0 When you subtract a negative, the total goes up. It s a bit like adding. 10 Let s write the calculation first 5 3 = 2
1. Write this as a number sentence first: My cauldron is at 3 degrees and I subtract 5 ice cubes. What is the new temperature? Try a few of your own... Go on! 2. 14 + 9 = 3. 4 7 = 4. 8 3 = 5. 12 5 ? 6. 5 5 = 7. 5 7 =
