• Number and Operations Standard
• Understand numbers, ways of representing numbers, relationships among numbers, and number systems
• Understand meanings of operations and how they relate to one another
• Compute fluently and make reasonable estimates
• Data Analysis and Probability Standard
• Select and use appropriate statistical methods to analyze data
• Develop and evaluate inferences and predictions that are based on data
• Data Analysis and Probability Standard
• Formulate questions that can be addressed with data and collect, organize,
and display relevant data to answer them
and display relevant data to answer them
• Problem Solving Standard
• build new mathematical knowledge through problem solving
• solve problems that arise in mathematics and in other contexts
• apply and adapt a variety of appropriate strategies to solve problems
• monitor and reflect on the process of mathematical problem solving.
• Algebra Standard
• Understand patterns, relations, and functions
• Represent and analyze mathematical situations and structures using algebraic symbols
• Use mathematical models to represent and understand quantitative relationships
• Analyze change in various contexts
• Representation Standard
• create and use representations to organize, record, and communicate mathematical ideas;
• select, apply, and translate among mathematical representations to solve problems;
• use representations to model and interpret physical, social, and mathematical phenomena.
• Connection Standard
• recognize and use connections among mathematical ideas;
• understand how mathematical ideas interconnect and build on one another to produce a coherent whole;
• recognize and apply mathematics in contexts outside of mathematics.
• Communication Standard
• organize and consolidate their mathematical thinking through communication;
• communicate their mathematical thinking coherently and clearly to peers, teachers, and others;
• analyze and evaluate the mathematical thinking and strategies of others;
• use the language of mathematics to express mathematical ideas precisely.
Lesson 1 Skeeters
- Model the growth of a fictional population using linear or exponential functions
- Describe how exponential functions grow
Lesson 2 Excel Trend Fitting
-Use Excel to find a line of best fit
-Determine the strength of a fit based on the value of r^2
Lesson 3 Population Activities 1 and 2
1- Compare weekly increases in world population to population estimates of local area.
2- Determine if historical events had any influence on world population.
3- Identify regions of the world that have had significant population growth in the last
decade and speculate on reasons for this.
Lesson 4 Population Activities 3, 4, and 5
1- Determine the best representation for displaying rate of change of a population
2- Determine the growth rate of U.S. population using historical data
3- Compare calculated growth rates to those estimated by U.S. Census Bureau
4- Identify factors that contribute to growth rate
5- Determine current and future growth patterns of U.S. population
6- Make predictions of population growth using population histograms
7- Identify countries with different growth rates based on the shapes of their population
histograms
8- Make connections between population growth rate and industrial development of a
country
Lesson 5 Population Activities 6, 7, and 8
1. Find linear, exponential and quadratic models of U.S. population data
2. Predict future populations based on each model
3. Compare predicted populations to given estimates
4. Determine which function best represents data
5. Write an equation to determine U.S. population based on constant growth rate model and
continuous change model
6. Compare predicted population to given estimates
7. Determine limitations of model
8. Compare predicted population to given estimates
9. Determine limitations of model
Blog entries
Final Presentation
The following is a how this unit meets the National Math Standards. While each standard can be meet in many of the lesson objectives they are listed next to the objective that allows the standard to be best meet.