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Skills available for Tennessee high school math standards

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Tennessee Academic Standards: Algebra I Tennessee Academic Standards: Algebra I
Tennessee Academic Standards: Algebra II Tennessee Academic Standards: Algebra II
Tennessee Academic Standards: Calculus Tennessee Academic Standards: Calculus
Tennessee Academic Standards: Geometry Tennessee Academic Standards: Geometry
Tennessee Academic Standards: Integrated Mathematics I Tennessee Academic Standards: Integrated Mathematics I
Tennessee Academic Standards: Integrated Mathematics II Tennessee Academic Standards: Integrated Mathematics II
Tennessee Academic Standards: Integrated Mathematics III Tennessee Academic Standards: Integrated Mathematics III
Tennessee Academic Standards: Mathematical Reasoning for Decision Making Tennessee Academic Standards: Mathematical Reasoning for Decision Making
Tennessee Academic Standards: Precalculus Tennessee Academic Standards: Precalculus
Tennessee Academic Standards: Statistics Tennessee Academic Standards: Statistics

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MR.N Number and Quantity

MR.N.NQ Financial Mathematics
- MR.N.NQ.A Use financial mathematics to make personal financial decisions.
  - MR.N.NQ.A.1 Define common terms associated with finance (such as interest, compound interest, annuities, retirement funds, amortizations, future value, and present value) and know how each term is related to personal finance.
    - Simple interest: word problems (A2)
    - Compound interest: word problems (PC-K.6)
  - MR.N.NQ.A.2 Calculate compound interest within the context of personal finance (such as credit card debt, home/car purchase, personal loans, and amortization schedules) and use the results to make decisions.
    - Compound interest: word problems (PC-K.6)
  - MR.N.NQ.A.3 Calculate net pay using gross pay (weekly, biweekly, monthly, or annual) and both fixed and variable deductions (such as withholding tax, Social Security tax, insurance costs, retirement investments and other contributory benefits).
  - MR.N.NQ.A.4 Access and use published data (such as cost of city or state utilities, housing, city or state taxes, meals, and other costs of living) to estimate and compare monthly living expenses based on location, identified needs, and personal preferences or desired lifestyles.
  - MR.N.NQ.A.5 Access and use published data (such as average life expectancy based on location and/or health issues, investment data, retirement funds, and annuity data) to calculate and compare retirement investments (such as total savings and monthly payouts) based on projected income.
  - MR.N.NQ.A.6 Access and use published data to create depreciation schedules and analyze the depreciation of various assets (such as cars, business equipment, and store fixtures).
  - MR.N.NQ.A.7 Access and use published data to calculate income tax based on projected gross annual income, returns on investments, tax deductions and tax credits, and other factors that affect calculations.
  - MR.N.NQ.A.8 Develop a personal mid-term (three to five years) financial plan based on anticipated income, projected living expenses, projected retirement or other savings, and other factors that affect personal finances.
- MR.N.NQ.B Use financial mathematics to make business decisions.
  - MR.N.NQ.B.9 Compare the components of a small business plan to the components of a personal financial plan (i.e., identify components that are common to both plans and components that are unique to a small business plan).
  - MR.N.NQ.B.10 Define common terms associated with business finance (such as assets, liabilities, revenue, expenses, net profit, net loss, profit margin, and return on investment) and know how each term is related to business finance.
  - MR.N.NQ.B.11 Access and use published data to develop a three-year financial plan for starting and running a small business (including projected income and projected fixed and variable costs such as licenses, rent and utilities, city and state taxes, cost of goods sold, etc.).

MR.A Algebra

MR.A.LP Linear Programming
- MR.A.LP.A Use linear programming techniques to solve real-world problems.
  - MR.A.LP.A.1 Read, interpret, and solve linear programming problems graphically and by computational methods.
- MR.A.LP.B Solve real-world optimization problems.
  - MR.A.LP.B.2 Use linear programming to solve optimization problems.
    - Linear programming (PC-O.4)
  - MR.A.LP.B.3 Interpret the meaning of the maximum or minimum value in terms of the objective function.
    - Linear programming (PC-O.4)

MR.D Data Analysis, Statistics, and Probability

MR.D.ID Organize and Interpret Data
- MR.D.ID.A Analyze data from multiple viewpoints and perspectives.
  - MR.D.ID.A.1 Organize, analyze, and interpret data for problem solving.
    - Interpret graphics I (A1-HH.10)
    - Interpret graphics II (A1-HH.11)
  - MR.D.ID.A.2 Determine whether a set of data supports a given assertion.
    - Experiment design (PC-FF.8)
  - MR.D.ID.A.3 Develop facility with representations of a data set and explain why some representations are more accurate or relevant than others in a given context.
  - MR.D.ID.A.4 Interpret and use measures of central tendency and spread to solve problems and make informed decisions.
    - Choose appropriate measures of center and variation (A1-II.7)
  - MR.D.ID.A.5 Calculate expected value in real-world situations (such as lottery return on investment, expected value of each possession in sports, and expected payoff in a game of chance).
  - MR.D.ID.A.6 Evaluate and compare two investments or strategies where one investment or strategy is safer but has lower expected value. Include large and small investments and situations with serious consequences.
  - MR.D.ID.A.7 Weigh the possible outcomes of a decision by assigning probabilities to payoff values and finding expected values. Evaluate strategies and make decisions based on expected values.
    - Expected values for a game of chance (PC-DD.9)
MR.D.ND Normal Probability Distribution
- MR.D.ND.A Work with the normal distribution in real-world situations.
  - MR.D.ND.A.1 Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages. Recognize that there are data sets for which such a procedure is not appropriate. Use calculators, spreadsheets, and tables to estimate areas under the normal curve.
- MR.D.ND.B Work with the confidence intervals in real-world situations.
  - MR.D.ND.B.2 Understand and interpret confidence levels and confidence intervals.

Geometry and Measurement

MR.G.GMD Geometric Measurement
- MR.G.GMD.A Understand the role of precision in measurement.
  - MR.G.GMD.A.1 Use standard units (metric and non-metric) to accurately measure objects to within 0.1 of the unit used.
  - MR.G.GMD.A.2 Use precise measurements (within 0.1 of the unit used) to calculate area, surface area, and volume/capacity (emphasize common two-and three-dimensional shapes).
    - Calculate density, mass, and volume (G-V.9)
  - MR.G.GMD.A.3 Understand and explain the effects that an error in measurement will have on a calculation that uses the erroneous measurement.
    - Percent error (G-V.7)
    - Percent error: area and volume (G-V.8)
- MR.G.GMD.B Accurately use standard and nonstandard units in measurement.
  - MR.G.GMD.B.4 Use standard units of measure to develop accurately estimated measurements of commonly available non-standard instruments of measurement.
  - MR.G.GMD.B.5 Understand and explain the consequences of relying on nonstandard units of measure.
  - MR.G.GMD.B.6 Use the established dimensions of common non-standard measuring instruments to estimate other measurements using standard units to a given tolerance.
  - MR.G.GMD.B.7 Estimate the area, surface area, volume, or capacity of an object using the established dimensions of common non-standard measuring instruments to determine measurements in standard units with and without using technology.
    - Convert between customary and metric systems (A1)
  - MR.G.GMD.B.8 Estimate the amount of error in a calculation that is based on using established dimensions of common non-standard measuring instruments.
    - Percent error (G-V.7)
  - MR.G.GMD.B.9 Understand and use unit conversions in estimations involving both standard and non-standard units.
    - Multi-step problems with unit conversions (A1-E.5)
  - MR.G.GMD.B.10 Discuss the various examples and consequences of innumeracy; consider poor estimation, improper experimental design, inappropriate comparisons, and scientific notation comparisons.

Tennessee

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MR.N Number and Quantity

MR.N.NQ Financial Mathematics

MR.N.NQ.A Use financial mathematics to make personal financial decisions.

MR.N.NQ.A.1 Define common terms associated with finance (such as interest, compound interest, annuities, retirement funds, amortizations, future value, and present value) and know how each term is related to personal finance.

MR.N.NQ.A.2 Calculate compound interest within the context of personal finance (such as credit card debt, home/car purchase, personal loans, and amortization schedules) and use the results to make decisions.

MR.N.NQ.A.3 Calculate net pay using gross pay (weekly, biweekly, monthly, or annual) and both fixed and variable deductions (such as withholding tax, Social Security tax, insurance costs, retirement investments and other contributory benefits).

MR.N.NQ.A.4 Access and use published data (such as cost of city or state utilities, housing, city or state taxes, meals, and other costs of living) to estimate and compare monthly living expenses based on location, identified needs, and personal preferences or desired lifestyles.

MR.N.NQ.A.5 Access and use published data (such as average life expectancy based on location and/or health issues, investment data, retirement funds, and annuity data) to calculate and compare retirement investments (such as total savings and monthly payouts) based on projected income.

MR.N.NQ.A.6 Access and use published data to create depreciation schedules and analyze the depreciation of various assets (such as cars, business equipment, and store fixtures).

MR.N.NQ.A.7 Access and use published data to calculate income tax based on projected gross annual income, returns on investments, tax deductions and tax credits, and other factors that affect calculations.

MR.N.NQ.A.8 Develop a personal mid-term (three to five years) financial plan based on anticipated income, projected living expenses, projected retirement or other savings, and other factors that affect personal finances.

MR.N.NQ.B Use financial mathematics to make business decisions.

MR.N.NQ.B.9 Compare the components of a small business plan to the components of a personal financial plan (i.e., identify components that are common to both plans and components that are unique to a small business plan).

MR.N.NQ.B.10 Define common terms associated with business finance (such as assets, liabilities, revenue, expenses, net profit, net loss, profit margin, and return on investment) and know how each term is related to business finance.

MR.N.NQ.B.11 Access and use published data to develop a three-year financial plan for starting and running a small business (including projected income and projected fixed and variable costs such as licenses, rent and utilities, city and state taxes, cost of goods sold, etc.).

MR.A Algebra

MR.A.LP Linear Programming

MR.A.LP.A Use linear programming techniques to solve real-world problems.

MR.A.LP.A.1 Read, interpret, and solve linear programming problems graphically and by computational methods.

MR.A.LP.B Solve real-world optimization problems.

MR.A.LP.B.2 Use linear programming to solve optimization problems.

MR.A.LP.B.3 Interpret the meaning of the maximum or minimum value in terms of the objective function.

MR.D Data Analysis, Statistics, and Probability

MR.D.ID Organize and Interpret Data

MR.D.ID.A Analyze data from multiple viewpoints and perspectives.

MR.D.ID.A.1 Organize, analyze, and interpret data for problem solving.

MR.D.ID.A.2 Determine whether a set of data supports a given assertion.

MR.D.ID.A.3 Develop facility with representations of a data set and explain why some representations are more accurate or relevant than others in a given context.

MR.D.ID.A.4 Interpret and use measures of central tendency and spread to solve problems and make informed decisions.

MR.D.ID.A.5 Calculate expected value in real-world situations (such as lottery return on investment, expected value of each possession in sports, and expected payoff in a game of chance).

MR.D.ID.A.6 Evaluate and compare two investments or strategies where one investment or strategy is safer but has lower expected value. Include large and small investments and situations with serious consequences.

MR.D.ID.A.7 Weigh the possible outcomes of a decision by assigning probabilities to payoff values and finding expected values. Evaluate strategies and make decisions based on expected values.

MR.D.ND Normal Probability Distribution

MR.D.ND.A Work with the normal distribution in real-world situations.

MR.D.ND.B Work with the confidence intervals in real-world situations.

MR.D.ND.B.2 Understand and interpret confidence levels and confidence intervals.

Geometry and Measurement

MR.G.GMD Geometric Measurement

MR.G.GMD.A Understand the role of precision in measurement.

MR.G.GMD.A.1 Use standard units (metric and non-metric) to accurately measure objects to within 0.1 of the unit used.

MR.G.GMD.A.2 Use precise measurements (within 0.1 of the unit used) to calculate area, surface area, and volume/capacity (emphasize common two-and three-dimensional shapes).

MR.G.GMD.A.3 Understand and explain the effects that an error in measurement will have on a calculation that uses the erroneous measurement.

MR.G.GMD.B Accurately use standard and nonstandard units in measurement.

MR.G.GMD.B.4 Use standard units of measure to develop accurately estimated measurements of commonly available non-standard instruments of measurement.

MR.G.GMD.B.5 Understand and explain the consequences of relying on nonstandard units of measure.

MR.G.GMD.B.6 Use the established dimensions of common non-standard measuring instruments to estimate other measurements using standard units to a given tolerance.

MR.G.GMD.B.7 Estimate the area, surface area, volume, or capacity of an object using the established dimensions of common non-standard measuring instruments to determine measurements in standard units with and without using technology.

MR.G.GMD.B.8 Estimate the amount of error in a calculation that is based on using established dimensions of common non-standard measuring instruments.

MR.G.GMD.B.9 Understand and use unit conversions in estimations involving both standard and non-standard units.

MR.G.GMD.B.10 Discuss the various examples and consequences of innumeracy; consider poor estimation, improper experimental design, inappropriate comparisons, and scientific notation comparisons.