What's Wrong with this Picture?

What’s Wrong with this Picture?
FIND the problem with each picture and DESCRIBE what it is.
1A 1B 1C
2A 2B 2C
3A 3B 3C
4A 4B 4C
Ratio & Proportion p.1

5A 5B 5C
6A 6B 6C
Vocabulary
very too
a lot too much/too many
All these words make me think of: ________________________________, but
they don’t mean exactly the same thing.
EXAMPLES:
(1) Is Bronx International a big school?
No, it’s very small.
No, it’s too small.
(2) Were there many people at the party?
Yes, there were a lot of people.
Yes, there were too many people.
(3) Did the teacher give a lot of work yesterday?
Yes, she gave a lot of work.
Yes, she gave too much work.
Ratio & Proportion p.2

Explanation:
very, a lot, much, many
too, too much, too many
Fill in the blank with TOO or with VERY
1. Is Bronx International a big school?
No, it’s ________ small.
2. Is Bronx International a big school?
No, it’s ________ small. I want to find a bigger school.
3. When all the students are talking, it is ________ loud.
4. When all the students are talking, it is _________ loud. I can’t focus on my work!
5. Is the Statue of Liberty small?
No! It’s _______ big.
6. What do you think of this dress?
It doesn’t fit well. It is _____ big.
7. I wanted to go to the movie, but I decided to stay home because it started _____
late.
8. I won the game! I am _____ happy.
9. She need to eat soon because she is ______ hungry.
Make one example using TOO and one example using VERY:
10.
11.
Ratio & Proportion p.3

Reflection:
In picture 1B, how did you know that the Statue of Liberty’s head was too big?
Is the head REALLY too big?
You want to make the Statue of Liberty’s head EXACTLY the right size. How can you use
Math to do this?
Ratio & Proportion p.4

Example 1:
Is this shirt too big?
No, it is NOT too big for Miss Jesseca. Yes, it IS too big for ___________.
Is the shirt too big? It depends on what you are comparing it to.
Is the shirt too big for who?
Example 2: Is __________ tall?
Yes, he IS tall compared to __________. No, he is NOT tall compared to ___________.
Yes, he IS tall relative to ____________. No he is NOT tall relative to ____________.
What if I just say, “Yes, he is tall.” What am I comparing him to? He is tall relative to
who/what?
You can say:
___________ is big compared to __________________
_____________ is big relative to _____________________
________________ is too big for _______________________
Ratio & Proportion p.5

Exercises
Is this classroom clean?
1. Yes, it is clean, compared to__________________
2. No, it is not clean, compared to _________________
Is this classroom clean?
1. Yes, it is clean, relative to__________________
2. No, it is not clean, relative to _________________
Is it Bronx International a small school?
1. Yes, it is too small for__________________
2. No, it is not too small for _________________
_________________________________________________? (compared to)
1. Yes, _____________________________________________________
2. No, ______________________________________________________
____________________________________________________? (relative to)
1. Yes, __________________________________________________________
2. No, ___________________________________________________________
_____________________________________________________? (for)
1.
2.
Ratio & Proportion p.6

RATIO and PROPORTION
Why do the “A” and the “B” pictures from the activity on p. 1 “look wrong”?
A proportion or a ratio can be used to describe the relative size of one thing to another.
For example, we can use a ratio or a proportion to describe:
• Exactly how big the frog’s eye is compared to his body
• Exactly how big the Statue of Liberty’s head is compared to her body
• Exactly how long your fingers are compared to your arms
Let’s start with ratio:
To describe the RELATIVE SIZE or the RELATIONSHIP between the length of my
fingers and the length of my arm, I can measure them both:
Length of pointer finger: 3 inches
Length of arm: 36 inches
I can say: The ratio of my pointer finger to my arm is 3 to 36
and I write: 3:36 or
OR
I can say: The ratio of my arm to my pointer finger is 36 to 3
and I write: 36:3 or
A RATIO is a comparison of two numbers by division. When you put the two numbers
together, they make a new kind of number that describes a RELATIONSHIP
Ratio & Proportion p.7

Find the ratio of:
Miss Jesseca’s pointer finger
to her arm
Miss Jesseca’s arm to her
pointer finger
the length of a table leg to
the length of the table top
the length of the table top
to the length of a table leg
the width of the table top to
the length of the table top
the length of the table top
to the width of the table top
the length of your hand to
the length of your arm
the length of your arm to the
length of your hand
the length of your foot to
your height
your height to the length of
your foot
the length of your thumbnail
to the length of your thumb
the length of your thumb to
the length of your thumbnail
Length means_________________________________________________________
Width means_________________________________________________________
Height means_________________________________________________________
Ratio & Proportion p.8

Which ratios are equal????
Frog picture
1A
proportionate / disproportionate
1B
proportionate / disproportionate
1C
proportionate / disproportionate
The ratio of
The ratio of
The ratio of
____________ to __________
____________ to __________
____________ to __________
is:
______
is:
______
is:
______
unit of measure:_____________
unit of measure:_____________
unit of measure:_____________
Statue of Liberty
2A
proportionate / disproportionate
2B
proportionate / disproportionate
2C
proportionate / disproportionate
The ratio of
The ratio of
The ratio of
____________ to __________
____________ to __________
____________ to __________
is:
______
is:
______
is:
______
unit of measure:_____________
unit of measure:_____________
unit of measure:_____________
Surfers
3A
proportionate / disproportionate
3B
proportionate / disproportionate
3C
proportionate / disproportionate
The ratio of
The ratio of
The ratio of
____________ to __________
____________ to __________
____________ to __________
is:
______
is:
______
is:
______
unit of measure:_____________
unit of measure:_____________
unit of measure:_____________
Ratio & Proportion p.9

Whale
4A
proportionate / disproportionate
4B
proportionate / disproportionate
4C
proportionate / disproportionate
The ratio of
The ratio of
The ratio of
____________ to __________
____________ to __________
____________ to __________
is:
______
is:
______
is:
______
unit of measure:_____________
unit of measure:_____________
unit of measure:_____________
All of these ratios have different numbers because we measured different lengths every
time BUT some of the ratios describe the same relationship. Which ones?
Picture
#
1
2
3
4
SAME RELATIONSHIP
and
and
and
and
DIFFERENT RELATIONSHIP
To see if these are really the SAME relationship (or the same ratio) hidden behind
different forms, we must SIMPLIFY the ratios.
Remember:
Numerator means __________________________________________________
Denominator means__________________________________________________
Ratio & Proportion p.10

Simplifying ratios
Simplifying fractions
Pictures that are different reductions (not disproportionate)…
are these equal? Write one equal to this one…
SIMPLIFY the proportions to show that they are the same (factor tree?...use calculator to
find GCM…)
Explain disproportionate…the one that is different (proportion)
Solve for one missing (scale down, scale up)
Divide and get scale factor Get proportion from scale factor
Talk about which give number bigger than one, which give number smaller than one
Multiply by 100 and get percentage Get proportion from percentage
Do with similar triangles
Winged migration
March of the Penguin
Ratio & Proportion p.11