lesson 12: percents and tape diagrams essential question: how can we represent percents visually to...
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Lesson 12: Percents and Tape Diagrams
Essential Question: How can we represent
percents visually to help us solve problems?
Let’s Discuss…Let’s Discuss…How could a 10 x 10 square grid represent 200 people?
Each square represents 2 people.
Let’s Discuss…Let’s Discuss…
Percent: 25% 25% 25% 25%
People: 50 50 50 50
What is similar and different between the two visual models?
How could a tape diagram represent 200 people?
Remember…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 segments, etc.
Complete the tape diagram. Shade in 25% on the tape diagram
where the whole represents different amounts.
Percent:
100%
Whole: 100
What fraction
is represen
ted 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:
100%
Whole: 200
What fraction
is represen
ted 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:
100%
Whole: 60
What fraction
is represen
ted 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:
100%
Whole: 20
What fraction
is represen
ted 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:
100%
Whole: 500
What fraction
is represen
ted by the tape diagram
?Express the quantity in the diagram as follows:
25% of ______ = _______
Partner WorkPartner Work1.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, 500100, 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…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 Ticket to LeaveLeave
In your math journal/notebook, explain why 25% does not always
represent the same amount.