China Syndrome

Learning Resource Type

Classroom Resource

Subject Area

English Language Arts
Social Studies
Mathematics

Grade(s)

9, 10, 11, 12

Overview

In 1979 China introduced its one-child policy. Communist leaders hoped to raise the average annual income to $1000 a person. They felt that the rising population was holding back China's economy. Today, China's rate of population growth has slowed and its economy has soared. Did the one-child policy cause the change?

This informational material will apply a precalculus concept--the rate of change of a function--to a current issue in sociology--patterns of population change. There are links to additional information included.

English Language Arts (2021) Grade(s): 11

ELA21.11.8

Read, analyze, and evaluate texts from science, social studies, and other academic disciplines and explain how those disciplines treat domain-specific vocabulary and content and organize information.

UP:ELA21.11.8

Vocabulary

  • Academic disciplines
  • Domain-specific vocabulary
  • Content organization

Knowledge

Students know:
  • Strategies to read, analyze, and evaluate texts from various academic disciplines.
  • Content-specific text will often include a particular structure and domain-specific vocabulary.

Skills

Students are able to:
  • Read, analyze, and evaluate texts from subjects other than English language arts to determine the use of domain-specific vocabulary.
  • Read, analyze, and evaluate texts from subjects other than English language arts to determine how the academic discipline organizes content.

Understanding

Students understand that:
  • Different academic disciplines may utilize different vocabulary.
  • Different academic disciplines may arrange content in particular organizational styles.
English Language Arts (2021) Grade(s): 12

ELA21.12.8

Read, analyze, and evaluate texts from science, social studies, and other academic disciplines and explain how those disciplines treat domain-specific vocabulary and content and organize information.

UP:ELA21.12.8

Vocabulary

  • Academic disciplines
  • Domain-specific vocabulary
  • Content organization

Knowledge

Students know:
  • Strategies to read, analyze, and evaluate texts from various academic disciplines.
  • Content-specific text will often include a particular structure and domain-specific vocabulary.

Skills

Students are able to:
  • Read, analyze, and evaluate texts from subjects other than English language arts to determine the use of domain-specific vocabulary.
  • Read, analyze, and evaluate texts from subjects other than English language arts to determine how the academic discipline organizes content.

Understanding

Students understand that:
  • Different academic disciplines may utilize different vocabulary.
  • Different academic disciplines may arrange content in particular organizational styles.
Mathematics (2019) Grade(s): 09-12 - Precalculus

MA19.PRE.25

Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph. Extend from polynomial, exponential, logarithmic, and radical to rational and all trigonometric functions.

UP:MA19.PRE.25

Vocabulary

  • Average rate of change
  • Specified interval
  • Difference Quotient

Knowledge

Students know:
  • Techniques for graphing.
  • Techniques for finding a rate of change over an interval on a table or graph.
  • Techniques for estimating a rate of change over an interval on a graph.

Skills

Students are able to:
  • Calculate average rate of change on a specified interval when given an equation or table ofa polynomial, exponential, logarithmic, and radical to rational and all trigonometric functions.
  • Interpret the average rate of change of a polynomial, exponential, logarithmic, and radical to rational and all trigonometric functions in the context of a problem when given symbolic representations, tables, graphs, or contextual situations.
  • Estimate the average rate of change for a specific interval of a polynomial, exponential, logarithmic, and radical to rational and all trigonometric functions functions when given agraph.

Understanding

Students understand that:
  • The rate of change is the ratio of the change between the dependent and independent variable.
Social Studies (2010) Grade(s): 09-12 - Sociology

SS10.S.11

Contrast population patterns using the birth rate, death rate, migration rate, and dependency rate.

UP:SS10.S.11

Vocabulary

  • population patterns
  • birth rate
  • death rate
  • migration rate
  • dependency rate
  • urbanization
  • depletion
  • natural resources

Knowledge

Students know:
  • How human social patterns affect population change.
  • The factors that lead to resource depletion.

Skills

Students are able to:
  • Analyze population patterns.
  • Understand how human social patterns affect population change.
  • Analyze factors that lead to resource depletion.
  • Project future population patterns.

Understanding

Students understand that:
  • There are different rates that affect population change.
  • You use current knowledge of factors that affect population change to determine future population patterns.
  • There are factors that lead to resource depletion.
SS10.S.11
SS10.S.11.3
ELA21.11.8
ELA21.12.8

CR Resource Type

Informational Material

Resource Provider

CK-12

License Type

Custom
https://www.ck12.org/c/calculus/average-and-instantaneous-rates-of-change/rwa/C…

Custom License Type (URL)

https://www.ck12info.org/terms-of-use/

Accessibility

Text Resources: Content is organized under headings and subheadings

Approved Date

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