Systems

Students use symbolic, graphical, numeric and verbal representations of linear behavior to solve problems in population growth and equilibrium analysis. Students work extensively with linear models as they learn to create the line of best fit from a data set, find the point of intersection of two lines and interpret graphs. Lesson 1 Lake Victoria Students read and discuss the impending change to the ecosystem of Lake Victoria. Students think about the predator-prey relationship qualitatively. Lesson 2 Cost and Revenue Students solve systems of equations involving cost and revenue functions. Lesson 3 Linear Models Students develop skills in writing an equation of a line given two points and in finding the linear regression equation. Nitty Gritty: Find the equation of a line passing through two points. Lesson 4 The Harvest Model This lesson explores how is the fisherman's profit is tied to changes in the fish population. Students graph data and find equilibrium points. Nitty Gritty: Equations of linear functions from graphs. Lesson 5 The Business Model Students develop more fully the cost, revenue and profit equations. Nitty Gritty: Solving systems using substitution. Lesson 6 Big Net This lesson explores the question, "Will the fisherman make more profit if he expands his operations to catch more fish?" Lesson 7 The Market Model How is the fisherman's profit affected by supply and demand in the marketplace? Market forces that affect the economic destiny of businesses are identified and investigated. Nitty Gritty: Solving systems using elimination. Lesson 8 Harvesting and the Growth Model How does this year's catch affect next years fish population size? The concept of carrying capacity is introduced. Lesson 9 Implications for Public Policy How does the force to increase profit affect the health of the fishery? Lesson 10 Balancing Economic and Ecological Interests A mathematical look at how to balance competing interests for short-term profit and long-term supply of fish. Compare this module to traditional course topics in the Matrix of Course Competencies. If one of the lessons has a link, you can preview that lesson. Other modules: Beat Ratios Functions Exp. Growth Data & Graphs Representing Data Finance Geometry Sampling Non-linear Behavior Linear Behavior Sets and Logic Patterns Probability Systems Right Tri. Trig.