09IM_C2_L10-01 - simonbaruchcurriculum

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Transcript 09IM_C2_L10-01 - simonbaruchcurriculum

Objectives
Example 1
Example 2
Quick Quiz
• To recognize and express ratios in different
situations
• To recognize equivalent ratios
• To use tables to compare ratios of mixtures
BOOKS Several students
were asked to name their
favorite kind of book. Write
the ratio that compares the
number of students who
chose fantasy books to the
total number of students
who responded.
Five students preferred fantasy out of a total of
7 + 9 + 4 + 5 or 25 responses.
÷5
The GCF
of 5 and
25 is 5.
fantasy responses
total responses
÷5
Answer: The ratio of the number of students who chose
fantasy to the total number of responses is
1 to 5, or 1:5. Analyzing the ratio tells us
that one out of every 5 students preferred
fantasy books.
,
SPORTS Students have the balls listed in the
table available to use during recess. What is the
ratio of basketballs to the total number of balls?
A.
B.
0%
0%
C
A
0%
B
D.
A
B
C
D
0%
D
1.
2.
3.
4.
C.
CLOTHING Coco used 12 yards of fabric to make
9 blouses. Use the ratio table to find the number of
blouses she could make with 20 yards of fabric.
There is no whole number by which you can multiply
12 to get 20. So, scale back to 4 and then scale
forward to 20.
Divide each quantity
by a common factor,
3. Then, since
4 × 5 = 20, multiply
each quantity by 5.
Answer: So, Coco could make 15 blouses with
20 yards of fabric.
PAINT Mrs. Wallace ordered 8 bottles of paint for
18 students. Use the ratio table to find the number
of bottles of paint she would need to order for
27 students.
A. 12 bottles
B. 14 bottles
1.
2.
3.
4.
0%
0%
C
A
0%
B
D. 18 bottles
A
B
C
D
0%
D
C. 15 bottles
Helio has traveled to 18 different states by car,
another 5 states by train, and 7 more states by
airplane. What is the ratio of states Helio traveled
to by car versus the total number of states he has
traveled to?
A.
B.
D.
A
B
C
0%D
D
0%
C
A
0%
B
C.
1.
2.
3.
4.
0%
Mia has traveled to a total of 40 different states. If
her ratio of states traveled by car is the same as
Helio’s, how many states has Mia traveled to by
car?
A. 24 states
B. 28 states
C. 22 states
D. 26 states
0%
0%
A
B
1.
2.
3.
4.
0%
C
A
B
C
D
0%
D
The school play is using a mixture of 7 containers
of white paint and 3 containers of red paint to
create the pink paint they are using for the walls
of a scene. If they need to make a batch of paint
from 40 containers, how much white paint do they
need to use?
A. 21 containers
D. 25 containers
0%
0%
A
B
C
D
0%
D
A
0%
B
C. 12 containers
1.
2.
3.
4.
C
B. 28 containers
Select the correct set of numbers to complete the
ratio table.
6
8
3
A. 3, 6, 9
B. 3, 5, 8
0%
0%
C
A
0%
B
D. 2, 6, 8
0%
D
1.
2.
3.
4.
C. 3, 6, 8
A
B
C
D
Image Bank
Math Tools
Multilingual e-Glossary
Using a Percent Model
Solving Proportions
Similar Triangles