mathematical proficiency in a developmentally-appropriate progressions of standards. Continuing the skill progressions from previous courses, the following chart represents the mathematical understandings that will be developed: Inferences and Conclusions from Data Polynomials, Rational, and Radical Relationships Make inferences and justify conclusions from Derive the formula for the sum of a geometric sample surveys, experiments, and series, and use the formula to solve problems. observational studies. Analyze decisions and (e.g., Calculate mortgage payments.) strategies using probability concepts (e.g., product testing, medical testing, pulling a hockey goalie at the end of a game). Trigonometry of General Triangles and Mathematical Modeling Trigonometric Functions Apply knowledge of the Law of Sines and the Analyze real-world situations using Law of Cosines to determine distances in mathematics to understand the situation realistic situations. (e.g., Determine heights of better and optimize, troubleshoot, or make an inaccessible objects.) informed decision. (e.g., Estimate water and food needs in a disaster area, or use volume formulas and graphs to find an optimal size for an industrial package.) Numbering of Standards The following Mathematics Standards will be numbered continuously. The following ranges relate to the clusters found within Mathematics: Inferences and Conclusions from Data Summarize, represent, and interpret data on Standard 1 single count or measurement variable. Understand and evaluate random processes Standards 2-3 underlying statistical experiments. Make inferences and justify conclusions from Standards 4-7 sample surveys, experiments, and observational studies. Use probability to evaluate outcomes of Standards 8-9 decisions. Polynomials, Rational, and Radical Relationships Use complex numbers in polynomial identities Standards 10-11 and equations. Interpret the structure of expressions. Standards 12-13 Write expressions in equivalent forms to solve Standard 14 problems. Perform arithmetic operations on polynomials. Standard 15 Understand the relationship between zeros and Standards 16-17 factors of polynomials. Use polynomial identities to solve problems. Standards 18-19 Rewrite rational expressions. Standards 20-21
mathematical proficiency in a developmentally-appropriate progressions of standards. Continuing the skill progressions from previous courses, the following chart represents the mathematical understandings that will be developed: Inferences and Conclusions from Data Polynomials, Rational, and Radical Relationships Make inferences and justify conclusions from sample surveys, experiments, and observational studies. Analyze decisions and strategies using probability concepts (e.g., product testing, medical testing, pulling a hockey goalie at the end of a game). Derive the formula for the sum of a geometric series, and use the formula to solve problems. (e.g., Calculate mortgage payments.) Trigonometry of General Triangles and Trigonometric Functions Mathematical Modeling Apply knowledge of the Law of Sines and the Law of Cosines to determine distances in realistic situations. (e.g., Determine heights of inaccessible objects.) Analyze real-world situations using mathematics to understand the situation better and optimize, troubleshoot, or make an informed decision. (e.g., Estimate water and food needs in a disaster area, or use volume formulas and graphs to find an optimal size for an industrial package.) Numbering of Standards The following Mathematics Standards will be numbered continuously. The following ranges relate to the clusters found within Mathematics: Inferences and Conclusions from Data Summarize, represent, and interpret data on single count or measurement variable. Standard 1 Understand and evaluate random processes underlying statistical experiments. Standards 2-3 Make inferences and justify conclusions from sample surveys, experiments, and observational studies. Standards 4-7 Use probability to evaluate outcomes of decisions. Standards 8-9 Polynomials, Rational, and Radical Relationships Use complex numbers in polynomial identities and equations. Standards 10-11 Interpret the structure of expressions. Standards 12-13 Write expressions in equivalent forms to solve problems. Standard 14 Perform arithmetic operations on polynomials. Standard 15 Understand the relationship between zeros and factors of polynomials. Standards 16-17 Use polynomial identities to solve problems. Standards 18-19 Rewrite rational expressions. Standards 20-21
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