Appendix A: Content Objectives
Virginia DOE did not adopt the Common Core, so teachers are held to the 2009 Virginia Standards of Learning for Algebra I, which are comparable to the Common Core.
A.1: The student will represent verbal quantitative situations algebraically and evaluate these expressions for given replacement values using data related to emissions of greenhouse gases during the consumption and production of coal. The relationship between consumption/production of coal and emissions of greenhouse gases will become apparent through concrete, pictorial, symbolic and verbal representations.
A.4cf/A.5cd: The student will solve real-world quadratic and multistep linear equations and inequalities in one/two variables, and systems of equations and inequalities to determine the allowable range of the pH, fuel efficiency of cars which use biodiesel, crop production and sales of soybeans, and expected yield of oil content from soybeans and production and cost of production for biodiesel. Finally, students will evaluate the sustainability of a crop by calculating the energy return on energy investments. Students will evaluate the reasonableness of a mathematical model and use graphing calculators to solve problems and to verify algebraic solutions.
A.8: The student will analyze real-world relations to determine whether a direct or inverse variation exists, and represent a direct or inverse variation algebraically given a table of data related to gas consumption and velocity or energy output over time.
A.9: The student will interpret variation and calculate and interpret mean absolute deviation, standard deviation, and z-scores for data related to oil and biodiesel production and determine the implications from which the data derive. The student will compare and contrast mean absolute deviation and standard deviation.
A.10: The student will compare and contrast multiple univariate data sets, using box-and-whisker plots created from data collected by measuring wind speeds with different tools.
A.11: The student will collect and analyze data, determine the equation of the curve of best fit in order to make predictions, and solve real-world problems related to coal production/consumption, greenhouse emissions and wind energy, using mathematical models.
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