Lesson 12: Percents
and Tape Diagrams
Essential Question:
How can we represent percents
visually to help us solve
problems?
Let’s Discuss…
How could a 10 x 10 square grid represent 200
people?
Each square
represents 2 people.
Let’s Discuss…
How could a tape diagram represent 200 peopl
Percent:
25%
25%
25%
25%
People:
50
50
50
50
What is similar and different
between the two visual models?
Remember…
•Tape diagram segment divisions
will vary depending upon the
percent.
Example:
To find 20%, it is useful to divide
100 into 5 segments; to find 10%,
it is useful to divide 100 into 10
Complete the tape diagram. Shade in
25% on the tape diagram where the
whole represents different amounts.
Percent:
Whole:
100%
100
What
fraction is
represent
ed by the
tape
diagram?
Express the quantity in the diagram as
follows:
25% of ______ =
_______
Complete the tape diagram. Shade in
25% on the tape diagram where the
whole represents different amounts.
Percent:
Whole:
100%
200
What
fraction is
represent
ed by the
tape
diagram?
Express the quantity in the diagram as
follows:
25% of ______ =
_______
Complete the tape diagram. Shade in
25% on the tape diagram where the
whole represents different amounts.
Percent:
Whole:
100%
60
What
fraction is
represent
ed by the
tape
diagram?
Express the quantity in the diagram as
follows:
25% of ______ =
_______
Complete the tape diagram. Shade in
25% on the tape diagram where the
whole represents different amounts.
Percent:
Whole:
100%
20
What
fraction is
represent
ed by the
tape
diagram?
Express the quantity in the diagram as
follows:
25% of ______ =
_______
Complete the tape diagram. Shade in
25% on the tape diagram where the
whole represents different amounts.
Percent:
Whole:
100%
500
What
fraction is
represent
ed by the
tape
diagram?
Express the quantity in the diagram as
follows:
25% of ______ =
_______
Partner Work
1. You will be given a percent:
(such as 10%, 20%, 50%, or 75%).
2. With your partner, label the given
tape diagrams in which you must
find the assigned percent of the
following wholes:
100, 200, 60, 20, 500
What pattern can you see
from the fractions
represented by each tape
diagram?
What conclusion can be
drawn?
•All fractions are equivalent and
equal to 25% or ¼.
•25% represents different
quantities (depending upon the
amount of the whole).
Let’s Review…
•The quantity represented by a
percent depends upon the size
of the whole.
•Visual representations of
percents are useful in solving
percent problems.
Ticket to
Leave
In your math journal/notebook,
explain why 25% does not
always represent the same
amount.