POPULATIONDATAFORWASHINGTONSTATE

Enduring Understanding: Develop a better understanding of how to draw a reasonable line to describe the data represented by a scatterplot. Develop a better understanding of how to make a conjecture and research information to validate the conjecture.

Essential Questions:

  • What is an informative title for a graph?
  • How can trends be identified in order to make inferences/predictions from a set of data?
  • How accurate is data that are collected?
  • What factors influence a trend that may not be reflected in the collected data?
  • How does a person research for accurate data?

Lesson Overview:

  • Before allowing the students the opportunity to start the activity: access their prior knowledge with regards to collecting and using data. Discuss with students the most recent census tabulation. How often is the census taken in the United States? What is the process that is used to collect the census data? How is the population determined during the non-census years?
  • Discuss sources of data.
  • What is the relationship between sets of data?
  • Encourage students to let 1900 be zero.
  • What is being asked by the questions in the problem? How do you decode what the problem is asking you to do?
  • How can the students make their thinking visible?
  • How can you support a conclusion that you make?
  • This problem requires internet access.
  • Use resources from your building.

EALRs/GLEs:

1.1.4

1.4.5

3.2.1

3.3.2

3.3.3

4.1.2

5.1.1

Item Specifications: NS04; PS03; SR04;SR05; CU01; MC01

Assessment:

  • Use WASL format items that link to what is being covered by the classroom activity
  • Include multiple choice questions

Population Data for WashingtonState

Population Data for Selected Cities in WashingtonState 1880-1990

Year / Spokane / Seattle / Walla Walla
1900 / 36,000 / 81,000 / 10,000
1920 / 104,000 / 315,000 / 16,000
1940 / 122,000 / 368,000 / 18,000
1960 / 182,000 / 557,000 / 25,000
1980 / 171,000 / 494,000 / 26,000
1990 / 177,000 / 516,000 / 29,000
2000

Data from “Population of Cities, Towns, & Counties”, Office of Financial Management, State of Washington

  1. On the same graph, place the data points for each city. Use a different color for each city.

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  1. Draw a line that fits the data for each city displayed on your scatter plot.
  2. Write an equation of the line for each of the lines that fit the data for each city displayed on your scatter plot.

Spokane______

Seattle______

Walla Walla______

  1. For the year 1950, make a conjecture of what the population should have been for each city. Describe the how you made your prediction.

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  1. Research the population for each city for the year 1950. How does each of your conjectures compare to the actual population? What reasons can you identify if your conjectures differ from the actual population?

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6. Predict the population for each city in the year 2000 and fill in your predictions in the table. Research the population reported by the census bureau for each city in 2000. What is the percentage difference between each of your predictions and the actual numbers reported by the census bureau?

Support your answer using words, numbers and/or diagrams.

7. Compare the population growth rates of the cities.

Support your answer using words, numbers and/or diagrams.

8. The table represents how the air temperature combines with the humidity to form the heat index.

Which statement is correct?

O A. As the humidity and temperature decrease, the heat index increases.

O B. As the humidity and temperature increase, the heat index decreases.

O C. As the humidity increases and the temperature decreases, the heat index increases.

O D. As the humidity and temperature increase, the heat index increases.

9. The chart below shows 10 states and the average length of patient stay in days in each of their

STATE / No. of Hospitals / Average Length of Stay
AL / 119 / 7.0
AK / 16 / 5.7
AX / 61 / 5.5
AR / 88 / 7.0
CA / 440 / 6.0
CO / 71 / 6.8
CT / 35 / 7.4
DE / 8 / 6.8
FL / 227 / 7.0
GA / 162 / 7.2

hospitals.

Which statement is true?

O A. Five of the states had an average length of stay of at least 7 days.

O B. Five of the states had an average length of stay of less than 6 days.

O C. The state with the fewest hospitals had the shortest average length of stay.

O D. The state with the most hospitals had the largest average length of stay.