ALEX Resources

   View Standards     Standard(s): [SS2010] SOC (9-12) 11 :

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

•  Identifying the impact of urbanization on human social patterns

•  Analyzing factors that affect the depletion of natural resources for their impact on social and economic development

•  Projecting future population patterns

[MA2019] PRE-19 (9-12) 25 :

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.

a. Find the difference quotient ^{f(x+Î"x)-f(x)}/_Î"x of a function and use it to evaluate the average rate of change at a point.

b. Explore how the average rate of change of a function over an interval (presented symbolically or as a table) can be used to approximate the instantaneous rate of change at a point as the interval decreases.

[ELA2021] (11) 8 :

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.

[ELA2021] (12) 8 :

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.

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.