Standards: 6.RP.2, 6.RP.3b, 6.RP.3c Resource: Connected Math
Program 2 Bits and Pieces I, Investigation 4.1
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Introduce percents as a part-whole relationship where the whole
is not out of 100 but scaled to be out of 100 (4.1) Use fraction
partitioning and fraction benchmarks to make sense of percents
(4.1) Develop strategies, including percents, to use in comparisons
where the whole is less than 100 (4.2) Understand that comparing
situations with different numbers of trials is difficult unless we
use percents or some other form of equivalent representation (4.2)
Work with situations where the whole is sometimes greater than 100
and sometimes less than 100 (4.3) Develop connections between
fractions, decimals, and percents (4.3) Develop strategies for
expressing data in percent form (4.3) Relate fractions, decimals,
and percents (4.4) To move from percents to other representations
and from other representations to percents (4.4)
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Students will be able to work with percents by understanding
and completing the following: 1. An introduction of percents as a
part-whole relationship where the whole is not out of 100 but
scaled to be out of 100 2. Use fraction partitioning and fraction
benchmarks to make sense of percents
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Whitehills Yes + No = 100 people 31 out of 100 = 31% vote Yes
69 out of 100 = 69% vote No Bailey Yes + No = 50 people What would
the numbers be like if 100 people were surveyed? What are the
percentages of Yes to No?
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A Percent Bar works like TWO number lines! Across the TOP of
the bar is the RAW data (17/50) Across the BOTTOM of the bar the
raw data is being scaled to represent the data as percent out of
100. 50 votes 50% 25 votes 17 YES votes 34%
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This is where Will got stuck and we are going to try to help
him out. Look at Wills percent bar for Yao. Yao made 301 out of 371
free-throw attemps. He has 371 labeled at the whole mark. Why is it
there? If Yao made all those free throws, how much of the bar would
I want to color in? What percent would that be? How much of the bar
would I color in if he didnt make any of his 371 attempted free
throws? What percent would that be? If I colored the bar halfway,
about how many free throws would he make? Why? What percent would
that be?
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Will also made a Percent Bar for Shaquille. He made 451 out of
725 attempts. What does the 725 on his percent bar represent? What
does it say 100% by the 725? COPY Wills Percent Bars into your math
workbook so youre ready for Problem 4.1, Part A.
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Students will be able to work with percents by understanding
and completing the following: 1. What type of a ratio is a percent?
2. What type of a ratio is a fraction? 3. What type of a ratio is a
decimal? 4. When would you use RAW data? 5. What does this sign, %,
mean? 6. How do fractions and decimals help you make sense of
percents?
