Lesson 25: A Fraction as a Percent
Lesson 25: A Fraction as a Percent
Classwork
Example 1
[pic][pic][pic][pic][pic]
Sam says [pic]% of the vehicles are cars. Give three different reasons or models that prove or disprove Sam’s statement. Models can include tape diagrams, [pic]x[pic] grids, double number lines, etc.
How is the fraction of cars related to the percent?
Use a model to prove that the fraction and percent are equivalent.
What other fractions or decimals are equal to the same percent?
Example 2
A survey was taken that asked participants whether or not they were happy with their job. An overall score was given. [pic] of the participants were unhappy while [pic] of the participants were happy with their job. Give a part-to-whole ratio for comparing happy participants to the whole. Then write a part-to-whole ratio of the unhappy participants to the whole. What percent were happy with their job, and what percent were unhappy with their job?
|Happy |_________________ |_____________ | |Unhappy |_________________ |___________ |
| |Ratio |Percent | | |Ratio |Percent |
Create a model to justify your answer.
Exercise 1
Renita claims that a score of [pic] is the same as the fraction [pic]. She drew the following picture in order to support her claim.
| | | |
|[pic] | | |
| |0.35 | |
| | |[pic] |
| |[pic] | |
|[pic] | | |
Exercise 6
Choose one of the rows from the conversion table in Exercise [pic] and use models to prove your answers. (Models could include a [pic]grid, a tape diagram, a double number line, etc.)
Problem Set
Use the [pic]x[pic] grid to express the fraction [pic] as a percent.
Use a tape diagram to relate the fraction [pic] to a percent.
How are the diagrams related?
What decimal is also related to the fraction?
Which diagram is the most helpful for converting the fraction to a decimal? _______________ Explain why.
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Lesson 25
6•1
MATHEMATICS CURRICULUM
Lesson #
X•X
NYS COMMON CORE MATHEMATICS CURRICULUM
Topic X: Topic Title
Date: 8/20/14
1
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