Exploring Rate In The Context of Population

Exploring Rate In The Context of Population

Explore the World

Opening

Explore the World

Open the World Map interactive and experiment with some of the countries on the map.

  • What two quantities does the map provide?

INTERACTIVE: World Map

Math Mission

Opening

Use area and population data to find the population density of a country.

Explore Populations and Areas

Work Time

Explore Populations and Areas

  • Select three countries using the World Map interactive and write down their populations and areas.
  • Calculate the population density for each country you selected. Show your work.
  • Which country has the highest population density?
  • Which country has the lowest population density?
  • Do any of the three countries have an approximately equal population density?

INTERACTIVE: World Map

Hint:

  • Population density is a rate that compares the population of a country to the area of the country. It describes how crowded a country is.
  • The countries all have different areas and different populations. Compare the countries by finding the number of people in one square mile of each country.

Prepare a Presentation

Work Time

Prepare a Presentation

Summarize your findings about population density. Use your work to support your summary.

 

Challenge Problem

  • Calculate the population density of your state and the population density of your city or town.
  • Which has a higher population density: your state, city, or town?

Make Connections

Performance Task

Ways of Thinking: Make Connections

  • Listen to your classmates and take notes on what you learned about population density.

Hint:

As your classmates present, ask questions such as:

  • What does a high population density number indicate?
  • What does a low population density number indicate?
  • Can a country with a large area have a high population density? How?
  • Can a country with a small population have a high population density? How?
  • Will the country with the largest population size always have the greatest population density?
  • Why can’t you just compare areas (or populations) when determining crowdedness?
  • When you divide the area by the number of people, what unit should you use? Why?

Population Density Is a Rate

Formative Assessment

Summary of the Math: Population Density Is a Rate

Summarize the concept of population density—what it is, how to find it, and how it is connected with rates.

  • Think about the similarities and differences among unit price, fuel efficiency, and population density.

Hint:

Check your summary

  • Does your summary explain what population density means and how to find it?
  • Does your summary include the term rate ?
  • Does your summary include the term average ?

Reflect On Your Work

Work Time

Reflection

Write a reflection about the ideas discussed in class today. Use the sentence starter below if you find it to be helpful.

One thing that still confuses me about rate is …