# Academic standards list

### Applied Mathematical — Mathematics

### Introduction

Academic standards define the expectations for knowledge and skills that students are to learn in a subject by a certain age or at the end of a school grade level. This page contains a list of standards for a specific content area, grade level, and/or course. The list of standards may be structured using categories and sub-categories.

### Financial Mathematics

TSS.Math.AM.N.NQ — Conceptual Category: Number and Quantity

Use financial mathematics to solve problems.

Define interest, compound interest, annuities, sinking funds, amortizations, annuities, future value, and present value.

Use financial mathematics to make decisions.

Apply arithmetic and geometric sequences to simple and compound interest, annuities, loans, and amortization.

Solve problems in mathematics of finance involving compound interest using exponential and logarithmic techniques.

Determine appropriate models to solve contextual problems.

Know when to use transcendental functions to accomplish various application purposes such as predicting population growth.

Use orders of magnitude estimates for determining an appropriate model for a contextual situation.

### Linear Progrmming

TSS.Math.AM.A.LP — Conceptual Category: Algebra

Use linear programming techniques to solve real-world problems.

Use mathematical models involving equations and systems of equations to represent, interpret, and analyze quantitative relationships, change in various…

Solve real-world optimization problems.

### Logic and Boolean Algebra

TSS.Math.AM.A.LB — Conceptual Category: Algebra

Use logic and Boolean Algebra in real-world situations.

Develop the symbols and properties of Boolean algebra; connect Boolean algebra to standard logic.

Apply Boolean Algebra to real-world network problems.

### Problem Solving

TSS.Math.AM.A.PS — Conceptual Category: Algebra

Apply problem solving techniques to real-world situations.

### Investigate Logic

TSS.Math.AM.G.L — Conceptual Category: Geometry

Use logic to make arguments and solve problems.

Determine the validity of arguments.

### Organize and Interpret Data

TSS.Math.AM.D.ID — Conceptual Category: Derivatives

Analyze data from multiple viewpoints and perspectives.

Use a variety of counting methods to organize information, determine probabilities, and solve problems.

### Counting and Combinatorial Reasoning

TSS.Math.AM.D.CR — Conceptual Category: Derivatives

Apply probability and counting principles to realworld situations.

Solve counting problems by using Venn diagrams and show relationships modeled by the Venn diagram.

Use permutations and combinations to compute probabilities of compound events and solve problems.

Use combinatorial reasoning to solve real-world problems.

Discuss the various examples and consequences of innumeracy; consider poor comparisons, and scientific notation comparisons. estimation, improper…

Weigh the possible outcomes of a decision by assigning probabilities to payoff values and finding expected values.

*There are 2 components within this standard*.Use probabilities to make fair decisions (e.g., drawing by lots, using a random number generator).

Analyze decisions and strategies using probability concepts (e.g., product testing, medical testing, pulling a hockey goalie at the end of a game).

### Normal Probability Distribution

TSS.Math.AM.D.ND — Conceptual Category: Derivatives

Work with the normal distribution in real-world situations.

Calculate the mean (expected value) and standard deviation of both a random variable and a linear transformation of a random variable.

### Understand and use confidence intervals.

TSS.Math.AM.D.CI — Conceptual Category: Derivatives

Work with confidence intervals in real-world situations.

Understand the meaning of confidence level, of confidence intervals, and the properties of confidence intervals.

Construct and interpret a large sample confidence interval for a proportion and for a difference between two proportions.

♦ Academic Standards marked with a diamond are "

*Supporting Content*" within the grade level or course.

**This website provides a reference tool for browsing academic standards and locating associated resources. We are not the originator of these academic standards. Although we strive to maintain accuracy, there may be revisions, updates, or errors within the text and structure of the information displayed. In case of any discrepancy, please respect the originator's published version (https://www.tn.gov/content/dam/tn/stateboardofeducation/documents/massivemeetingsfolder/meetingfiles4/10-20-17_III_J_Non-Substantive_Chanages_to_Math_ELA__Science_Standards_Attachment_1_-_Math.pdf) as the definitive record.**

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