Cup, Quart, and Gallon - Mathwithoutcalculators.com

Chapter 3 Lesson 1
Measuring Liquids
Units that measure liquids.
Adjust your screen
for correct lettering.
I am so thirsty. I could drink
10 gallons of water!
Wow! That's how much milk
I drink in 2 months, maybe 3.
OK, I could drink 10 quarts
of water. I am really thirsty.
That's enough water for
a whole week and a half.
Caveman, you're going to drink so
much you'll be in the bathroom all day.
I did that once
and missed a whole class.
They thought I went home.
Thanks for sharing.
Time to go over units for liquids.
Here's my question.
Is a can of pop one of the units?
Sorry, a can is not a unit.
We'll use 3 units.
Cups is the first one.
Cups
We've got big cups and little ones.
Which cup are you talking about?
Most cups we use are
much bigger than a real cup.
This cup is a certain size.
Ok, how big is a cup
compared to a can of pop?
A 12 oz can of pop
is 1 and a half cups.
The small cup is closer.
Here's the next unit.
Quart
You know one of those
really big cups of pop you get
at the gas station?
Some of them hold a quart.
It's how much I drink in a day.
How many cups are in a quart?
1 Quart
=
1
1
cup cup
1
1
cup cup
1 Quart = 4 cups
That's about 3 cans of pop.
That's not alot, alot. I can
drink a quart, just not all at once.
What goes in must come out.
You must live in the bathroom.
I'm good at a few things.
So, what's after quart?
Gallon
I know this one. My mom buys
gallons when she gets milk.
How many quarts are in a gallon?
1 Gallon = 4 Quarts
I'll draw another 1 of
my world famous drawings.
1
Gallon
=
1 Quart 1 Quart
1 Quart 1 Quart
No way. I could never drink
a gallon at one time.
You know, one place we
use gallons is buying gasoline.
Guess how many
gallons go in a small car.
10 - 15 gallons: car
That's alot of gallons.
How about an SUV or a Semi?
20 - 40 gallons: SUV
100 gallons: Semi
Now, that's alot of gasoline.
Think about how a car shows
how many gallons are left.
E
F
My dad's car has a gas meter,
but, it doesn't count gallons.
E
F
True, so you use it to estimate
how many gallons are left.
People that cook use something
else to measure liquids.
Measure cup
People use a measuring
cup to bake or cook with.
Does your mom have one of those?
Measure cup
My mom doesn't bake.
Anything else for liquids?
Cans and
bottles
pop
Milk
Cans and jugs list on the
side how much they contain.
There is a magic number for this.
4
How is 4 a magic number?
4
Think about how cups make
quarts and then into gallons.
1 quart = 4 cups
1 gallon = 4 quarts
See? Cups into quart
and quarts into a gallon.
There is 1 other unit we use.
Pint
How much is in a pint?
1 pint
=
1
cup
+
1
cup
It's between cup and quart.
1 Pint = 2 cups
How many
pints are in a quart?
1 Quart
=
1 pint
1 pint
1 Quart has 2 Pints.
Woe, all this talk about liquids
and now I have to use it.
You have 2 minutes and don't
let me catch you in the gym.
Qs
How many cups are in a can of pop?
A 12 oz can of pop
is 1 and a half cups.
Most people drink about a
cup when they eat a meal.
How many cups are in a quart?
1 quart = 4 cups
2 cans is 3 cups, so almost
3 cans of pop is a quart.
Many people drink about
a quart in an average day.
How many quarts are in a gallon?
4 Quarts = 1 Gallon
1. Milk comes in 1 gallon jugs.
2. We buy gas in gallons.
Chapter 3 Lesson 1a
Measuring Liquids
Changing units for liquids.
We went over the basic
ways to measure liquids.
You know what happens next.
Change Units
Do you always change units?
Sure. Why do you ask?
Feet to yards. Yards to feet.
We change an awful lot.
That's why the
1st step is important.
You should remember this.
Basic Fact
Oh, yeah. Basic facts.
Like, 1 quart has 4 cups.
We just need a problem to
change quarts and gallons.
You got any ideas?
My grandpa's restaurant has a frier.
It takes 2 gallons of cooking oil.
How many quarts is that?
2 gallons = ? quarts
Here's the key point.
What's the basic fact?
1 gallon = 4 quarts
2 gallons = ? quarts
1 gallon equals 4 quarts.
1 gallon = 4 quarts
2 gallons = ? quarts
Exactly. Is it in order or not?
1 gallon = 4 quarts
2 gallons = ? quarts
Yeah, it's in the same order.
I know how to do this.
1 gallon = 4 quarts
x4
2 gallons = 8 quarts
Multiply 4 is 8 quarts.
1 gallon = 4 quarts
x4
2 gallons = 8 quarts
Exactly like feet and yards did.
I'll change the units.
2 gallons = ? cups
Gallons to cups?
Did we go over that fact?
2 gallons = ? cups
We might have. What 2 facts
connect cups and gallons?
Both facts use 4s.
1 gallon is 4 quarts
and 1 quart is 4 cups.
1 gallon = 4 quarts
1 quart = 4 cups
So, multiply them
to find cups in 1 gallon.
1 gallon = 16 cups
So 1 gallon has 16 cups.
1 gallon = 16 cups
An important base fact.
Put that in the problem.
1 gallon = 16 cups
2 gallons = ? cups
Same order, so it multiplies.
That's an easy fact.
x 16
2 gallons = 32 cups
1 gallon = 16 cups
Multiply 16, so 2 gallons is
32 cups. Are you changing it?
8 quarts = ? gallons
We've got to go backwards.
What's the basic fact again?
1 gallon = 4 quarts
8 quarts = ? gallons
One gallons makes 4 quarts,
but it's backwards.
1 gallon = 4 quarts
8 quarts = ? gallons
Right, so finish it off.
What's the answer?
1 gallon = 4 quarts
8 quarts = 2 gallons
4
8 divided by 4 is 2 gallons.
I'll make it more complicated.
Now we'll use 2 steps.
9 quarts = ? gal ? qt
A truck takes 9 quarts of oil.
Change that to gallons and quarts.
What's the 1st step?
9 quarts = 2 gal ? qt
8 quarts = 2 gallons
That's 8 quarts for 2 gallons.
I know what the 1st step is.
9 quarts = 2 gal 1 qt
- 8 quarts = 2 gallons
1
Subtract, 1 quart is left.
9 quarts = 2 gal 1 qt
- 8 quarts = 2 gallons
1
So, what's the name for this?
I just like saying the name.
Whole fact and Subtract
You have 37 quarts of oil.
Don't ask me what vehicle it's for.
Use division to find gallons.
We'll solve it by dividing.
4 ) 37
How do you divide this?
9
4 ) 37
- 36
1
That's 9 gallons and 1 quart.
That's what would go in a
factory machine or a big engine.
3 quarts = ? cups
Time to go the other way.
How do you find how
many cups are in 3 quarts?
1 quart = 4 cups
3 quarts = ? cups
Basic Fact is 1 quart is 4 cups.
I've got the answer.
x4
3 quarts = 12 cups
Multiply 4 so 3 quarts is 12 cups.
Are we done yet?
5 qts 2 cps = ? cups
It's the last problem.
We already did the basic fact,
so just find the answer.
5x4+2
Solve the cups part first,
then add the extra cups.
5x4+2
Thanks for the explanation.
Now, the answer, please.
5 qts 2 cps = 22 cups
First, he wants it explained.
Next, not so much.
5 qts 2 cps = 22 cups
First, he ignors the question,
then he answers the 1st one.
Qs
2 gallons = ? quarts
What's the 1st step to
change gallons to cups?
1 gallon = 4 quarts
2 gallons = ? quarts
Basic Fact
1 gallon equals 4 quarts.
1 gallon = 4 quarts
2 gallons = ? quarts
How do you get the answer?
1 gallon = 4 quarts
x4
2 gallons = 8 quarts
Multiply by 4.
2 gallons is 8 quarts
9 quarts = ? gal ? qt
What's the 1st step to
change to gallons and quarts?
9 quarts = 2 gal ? qt
8 quarts = 2 gallons
Whole Fact.
8 quarts is 2 gallons.
9 quarts = 2 gal ? qt
8 quarts = 2 gal
What finishes it?
9 quarts = 2 gal 1 qt
8 quarts = 2 gallons
1 qt
Whole Fact and Subtract.
9 quarts is 2 gallons and 1 quart.
Chapter 3 Lesson 1
Measuring Liquids
Short Lesson
Units that measure liquids.
We used inch to
measure how long feet are.
What measures liquids?
Cup
The basic unit for liquid is cups.
You drink about a cup of
milk when you eat lunch.
12 oz pop = ? cups
Think of a 12 oz can of pop.
How many cups are in one?
A 12 oz can of pop
is 1 and a half cups.
What's the next unit
that's bigger than a cup?
Quart
How many cups are in a quart?
1 Quart = 4 Cups
1 Quart
=
1
1
cup cup
1
1
cup cup
That's what you drink in a day.
What's the next unit?
Gallon
Gallons are used alot.
What makes a gallon?
1 Gallon = 4 Quarts
1
Gallon
=
1 Quart 1 Quart
1 Quart 1 Quart
Here are 2 ways gallons are used.
Gallon
1. Milk comes in 1 gallon jugs.
2. We buy gas in gallons.
How many gallons of gas
are in a car or a truck?
10 - 15 gallons: car
20 - 40 gallons: SUV
100 gallons: Semi
There is a magic number
for counting units.
1 Quart = 4 Cups
1 Gallon = 4 Quarts
Both quarts and gallons
fact uses the number 4.
How many cups in a gallon?
1 Gallon = 16 Cups
4 x 4 makes sense.
There is one other
unit we should mention.
2 Cups = 1 Pint
1
cup
+
1
cup
=
1 pint
How many
pints are in a quart?
1 Quart = 2 Pints
1 Quart
=
1 pint
1 pint
A pint is in
between cup and quart.
Change Units
We'll use basic facts to change
units, just like feet and yards did.
We'll start with a problem.
Mr K's restaurant has a frier.
It takes 3 gallons of cooking oil.
How many quarts is that?
3 gallons = ? quarts
Gallons and quarts.
What's the basic fact?
3 gallons = ? quarts
1 gallon = 4 quarts
1 gallon equals 4 quarts.
Will you multiply or divide it?
1 gallon = 4 quarts
x3
x3
3 gallons = 12 quarts
Multiply by 4 to get 12 quarts.
We'll make another one.
A truck takes 9 quarts of oil.
Change that to gallons and quarts.
9 quarts = ? gal ? qt
What's the 1st step?
9 quarts = 2 gal ? qt
8 quarts
The whole fact is
8 quarts for 2 gallons.
Finish the problem.
9 quarts = 2 gal 1 qt
- 8 quarts
1
Subtract, 1 quart is left.
That's Whole fact and Subtract.
Here's one with a truck.
A truck takes 37 quarts of oil.
How many gallons is that?
How do you divide to get it?
4 ) 37
Divide 37 by 4.
There's 4 quarts in a gallon.
How do you divide this?
9
4 ) 37
- 36
1
37 divided by 4 is 9 R 1.
That's 9 gallons and 1 quart.
Questions
How many cups are in a quart?
1 Quart = 4 Cups
1 Quart
=
1
1
cup cup
1
1
cup cup
There are 4 cups in a quart.
How many quarts are in a gallon?
1
Gallon
=
1 Quart 1 Quart
1 Quart 1 Quart
1 Gallon = 4 Quarts
What magic number compares
cups, quarts, and gallons?
1 Quart = 4 Cups
1 Gallon = 4 Quarts
1 quart = 4 cups and
1 gallon = 4 quarts
How many cups
are in a 12 oz can of pop?
A 12 oz can of pop
is 1 and a half cups.
Chapter 3 Lesson 1
Measuring Liquids
Practice #1
Units that measure liquids.
How many cups are in
a can of 12 ounce pop?
A 12 oz can of pop
is 1 and a half cups
What magic number compares
cups, quarts, and gallons?
4 Cups = 1 Quart
4 Quarts = 1 Gallon
The number is 4.
16 cups is 1 gallon.
2 gallons = ? quarts
What's the 1st step to
change gallons to cups?
2 gallons = ? quarts
1 gallon = 4 quarts
Basic Fact
1 gallon equals 4 quarts.
How do you get the answer?
1 gallon = 4 quarts
x4
2 gallons = 8 quarts
Multiply by 4.
2 gallons is 8 quarts
9 quarts = ? gal ? qt
What's the 1st step to
change to gallons and quarts?
9 quarts = 2 gal ? qt
8 quarts = 2 gallons
Whole Fact.
8 quarts is 2 gallons.
What finishes it?
9 quarts = 2 gal 1 qt
8 quarts = 2 gallons
1 qt
Whole Fact and Subtract.
9 quarts is 2 gallons and 1 quart.
Problems
2 quarts = ? cups
Change 2 quarts into cups.
What's the basic fact?
2 quarts = ? cups
1 quart = 4 cups
Does it multiply or divide?
Find the answer.
2 quarts = 8 cups
2x4=8
Multiply x 4 to get 8 cups.
3 quarts = ? cups
Change 3 quarts into cups.
What's the basic fact?
3 quarts = ? cups
1 quart = 4 cups
Does it multiply or divide?
Find the answer.
3 quarts = 12 cups
3 x 4 = 12
Multiply x 4 to get 12 cups.
3 qts 1 cups = ? cups
Now it's 3 quarts and 1 cup.
What's the answer this time?
3 qts 1 cup = 13 cups
Add 12 cups + 1 more is 13 cups.
5 qts 3 cups = ? cups
It's 5 quarts and 3 cups.
What's the answer?
5 qts 3 cup = 23 cups
Add 20 cups + 3 more is 23 cups.
Chapter 3 Lesson 1
Measuring Liquids
Practice #2
Units that measure liquids.
How many cups are in
a can of 12 ounce pop?
A 12 oz can of pop
is 1 and a half cups.
What magic number compares
cups, quarts, and gallons?
4 Cups = 1 Quart
4 Quarts = 1 Gallon
The number is 4.
16 cups is 1 gallon.
2 gallons = ? quarts
What's the 1st step to
change gallons to cups?
2 gallons = ? quarts
1 gallon = 4 quarts
Basic Fact
1 gallon equals 4 quarts.
How do you get the answer?
1 gallon = 4 quarts
x4
2 gallons = 8 quarts
Multiply by 4.
2 gallons is 8 quarts
9 quarts = ? gal ? qt
What's the 1st step to
change to gallons and quarts?
9 quarts = 2 gal ? qt
8 quarts = 2 gallons
Whole Fact.
8 quarts is 2 gallons.
What finishes it?
9 quarts = 2 gal 1 qt
8 quarts = 2 gallons
1 qt
Whole Fact and Subtract.
9 quarts is 2 gallons and 1 quart.
Problems
12 Quarts = ? Gallons
12 quarts equal how many gallons?
Find the basic fact.
12 quarts = ? gallons
1 gallon = 4 quarts
Does it multiply or divide?
Find the answer.
12 quarts = 3 gallons
1 gallon = 4 quarts
12 4 = 3
Divide by 4. 12 quarts = 3 gallons.
15 Quarts = ? Gallons
How does the answer
change if it's 15 quarts?
15 Quarts = ? Gallons
12 Quarts = 3 Gallons
3 quarts
Whole fact and subtract.
15 quarts is 3 gallons, 3 quarts.
13 Quarts = ? Gallons
How does the answer
change if it's 13 quarts?
13 Quarts = ? Gallons
12 Quarts = 3 Gallons
1 quart
Whole fact and subtract.
13 quarts is 3 gallons, 1 quart.
17 Quarts = ? Gallons
What if it's 17 quarts?
17 Quarts = ? Gallons
16 Quarts = 4 Gallons
1 quart
Whole fact and subtract.
17 quarts is 4 gallons, 1 quart.
2 gallon 3 quarts
How many quarts are in
2 gallons and 3 quarts?
Make a basic fact.
2 gals 3 qts = ? quarts
1 gallon = 4 quarts
What 2 steps solve this?
2 gallons 3 quarts
2x4=8
+3
11 quarts
Multiply x 4 and add 3.
It's 11 quarts.
3 gallons 1 quart
How many quarts are in
3 gallons and 1 quart?
Make a basic fact.
3 gallons 1 quart
3 x 4 = 12
+1
13 quarts
Multiply x 4 and add 1.
It's 13 quarts.
Chapter 3 Lesson 1
Measuring Liquids
Performance #1
Units that measure liquids.
2 gallons = ? quarts
5 gallons = ? quarts
Change into quarts.
2 gallons
8 quarts
5 gallons
20 quarts
3 quarts = ? cups
6 quarts = ? cups
Change quarts into cups.
3 quarts
12 cups
6 quarts
24 cups
13 quarts = ? gal ? qt
21 quarts = ? gal ? qt
Change into gallons and quarts.
13 quarts
3 gallons 1 quart
21 quarts
5 gallons 1 quart
9 cups = ? qt ? cups
14 cups = ? qt ? cups
Change cups into quarts and cups.
9 cups
2 quarts 1 cup
14 cups
3 quarts 2 cups
1 gal 3 qt = ? quarts
2 gal 1 qt = ? quarts
Change into quarts.
1 gal 3 qt
15 quarts
2 gal 1 qt
9 quarts
3 gal 2 qt = ? quarts
5 gal 1 qt = ? quarts
Change into quarts.
3 gal 2 qt
14 quarts
5 gal 1 qt
21 quarts
6 gal 3 qt = ? quarts
7 gal 2 qt = ? quarts
Change into quarts.
6 gal 3 qt
27 quarts
7 gal 2 qt
30 quarts
Chapter 3 Lesson 1
Measuring Liquids
Performance #2
Units that measure liquids.
4 gallons = ? quarts
8 gallons = ? quarts
Change into quarts.
4 gallons
12 quarts
8 gallons
32 quarts
10 quarts = ? cups
20 quarts = ? cups
Change quarts into cups.
10 quarts
40 cups
20 quarts
80 cups
15 quarts = ? gal ? qt
25 quarts = ? gal ? qt
Change into gallons and quarts.
15 quarts
3 gallons 3 quarts
25 quarts
4 gallons 1 quart
17 cups = ? qt ? cups
30 cups = ? qt ? cups
Change cups into quarts and cups.
17 cups
4 quarts 1 cup
30 cups
7 quarts 2 cups
3 gal 2 qt = ? quarts
4 gal 3 qt = ? quarts
Change into quarts.
3 gal 2 qt
14 quarts
4 gal 3 qt
19 quarts
4 gal 1 qt = ? quarts
5 gal 2 qt = ? quarts
Change into quarts.
4 gal 1 qt
13 quarts
5 gal 3 qt
23 quarts