Unit 2 – Investigation 4.1
”Who is the Best?”
FQ: How is a percent bar useful in making comparisons with decimals?
A:______
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C: ______
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E: ______
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Vocabulary
Percents / Where do we see percents in a grocery store?Other uses of Percentage: With your partner, think of other uses for percents in real life.
An excellent free thrower will make 90 percent of his shots.
Stephen Curry’s career: 90.2%
During a recent year, two NCAA basketball teams made 108 out of 126 free-throw attempts and 195 out of 257 attempts. It is difficult to tell which team was better at free throws that year using raw numbers. Therefore sports announcers often give percents instead of raw numbers.
A. Will drew pictures similar to the fundraising thermometers to help him think about the percent of free throws made by the 2 teams. Then he got stuck! Help Will use the pictures he drew to decide which team is better.
1) For each bar, estimate the number of free throws that should go with each marked percent in the picture.
2) For each team, shade the percent bar to show how many free throws the team made and estimate the percentage. Explain how you did this. ______
3) At this rate, how many free throws would you expect Team 1 to make in their next 200 free throw attempts? How many would you expect Team 2 to make in their next 200 free throw attempts?
Team 1: ______Team 2: ______
B. Alisha said that she could get better estimates of each team’s free-throw percentage using the percent bars below. Copy and complete her percent bars to estimate each team’s free throw percentage. Compare you answers to your answers for Question A.
Alisha’s percent bars are ______
C. Will in Question A, and Alisha, in Question B, each use percent bars to show common percent benchmarks. What benchmarks does each student use?
Will: ______Alisha: ______
D. 1) Use percent bars and your own ideas to estimate the free throw percentages for Angela, Emily and Christina. Who is the best free throw shooter?
Angela made 12 out of 15 free throws ______
Emily made 15 out of 20 free throws ______
Christina made 13 out of 16 free throws ______
The best free thrower was ______
2) Using the rates in part (1), how many free throws would you expect each player to make the next 30
free throw attempts.
In the next 30 attempts, I estimate Angela would make ______shots, Emily would make ______
shots and Christina would make ______shots.
E. After thinking about free throw percentages, Will said that percents are like fractions. Alisha disagreed and said that percents are more like ratios. Do you agree more with Will or with Alisha? Explain.
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