Name: Date:
Student Exploration: Estimating Population Size
Vocabulary: percent error, population, sample
Prior Knowledge Questions (Do these BEFORE using the Gizmo.)
1. A jar contains 100 marbles total. Some are black. If you pull 4 marbles out
and 1 is black, how many out of the 100 marbles would you guess are black? I would
guess around 25. Explain. The reason I would guess 25 is because ¼ is the ratio of
black marbles to other marbles being pulled out of 100 and ¼ of 100 is 25.
2. A different jar has 100 black marbles. (The total number of marbles is
unknown.) If you pull 4 marbles out and 1 is black, what is your guess for the total number of
marbles? 400
Explain. I would say 400, because ¼ of 400 is 100.
Gizmo Warm-up
In the Estimating Population Size Gizmo, you will estimate the total
number of fish in a pond. You will do this by tagging and releasing a
certain number of fish, and then “recapturing” some.
To change the number of fish to tag or catch, drag the slider, or click
on the number in the text field next to a slider, type a new value, and
hit Enter.
1. Suppose a scientist tags 100 fish, and releases them. (Set the Tagged fish in pond to 100
to show this.) Later, a fisherman catches 50 fish from the same pond. (Set Fish to catch to
50 to show this.) The fisherman’s catch is a sample of all fish in the pond.
A. Click Catch and check. Look at the Results table. How many tagged fish did the
fisherman catch? 19
B. What percent of the fish in his sample were tagged? 38%
2. At the bottom of the Gizmo, select Show total fish in pond. How many fish are in this
This study source was downloaded by 100000835361505 from CourseHero.com on 01-29-2022 04:03:35 GMT -06:00
2019
https://www.coursehero.com/file/82609753/Gizmo-Estimating-Population-Sizedocx/
, pond? 308 This number is the population of fish in this pond.
This study source was downloaded by 100000835361505 from CourseHero.com on 01-29-2022 04:03:35 GMT -06:00
2019
https://www.coursehero.com/file/82609753/Gizmo-Estimating-Population-Sizedocx/
Student Exploration: Estimating Population Size
Vocabulary: percent error, population, sample
Prior Knowledge Questions (Do these BEFORE using the Gizmo.)
1. A jar contains 100 marbles total. Some are black. If you pull 4 marbles out
and 1 is black, how many out of the 100 marbles would you guess are black? I would
guess around 25. Explain. The reason I would guess 25 is because ¼ is the ratio of
black marbles to other marbles being pulled out of 100 and ¼ of 100 is 25.
2. A different jar has 100 black marbles. (The total number of marbles is
unknown.) If you pull 4 marbles out and 1 is black, what is your guess for the total number of
marbles? 400
Explain. I would say 400, because ¼ of 400 is 100.
Gizmo Warm-up
In the Estimating Population Size Gizmo, you will estimate the total
number of fish in a pond. You will do this by tagging and releasing a
certain number of fish, and then “recapturing” some.
To change the number of fish to tag or catch, drag the slider, or click
on the number in the text field next to a slider, type a new value, and
hit Enter.
1. Suppose a scientist tags 100 fish, and releases them. (Set the Tagged fish in pond to 100
to show this.) Later, a fisherman catches 50 fish from the same pond. (Set Fish to catch to
50 to show this.) The fisherman’s catch is a sample of all fish in the pond.
A. Click Catch and check. Look at the Results table. How many tagged fish did the
fisherman catch? 19
B. What percent of the fish in his sample were tagged? 38%
2. At the bottom of the Gizmo, select Show total fish in pond. How many fish are in this
This study source was downloaded by 100000835361505 from CourseHero.com on 01-29-2022 04:03:35 GMT -06:00
2019
https://www.coursehero.com/file/82609753/Gizmo-Estimating-Population-Sizedocx/
, pond? 308 This number is the population of fish in this pond.
This study source was downloaded by 100000835361505 from CourseHero.com on 01-29-2022 04:03:35 GMT -06:00
2019
https://www.coursehero.com/file/82609753/Gizmo-Estimating-Population-Sizedocx/
