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.
 
Recognize the importance of applying a financial model to business.
 
Determine future value and present value of an annuity.
 
Determine the amortization schedule for an annuity and a home mortgage.
 
Use financial mathematics to make decisions.
Apply financial mathematics to depreciation schedules.
 
Solve contextual problems involving financial decision-making.
 
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
 
Read, interpret, and solve linear programming problems graphically and by computational methods.
 
Solve real-world optimization problems.
Use linear programming to solve optimization problems.
 
Interpret the meaning of the maximum or minimum value in terms of the objective function.
 

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.
 
Construct truth tables to determine the validity of an argument.
 
Apply Boolean Algebra to real-world network problems.
Analyze basic electrical networks; compare the networks to Boolean Algebra configurations.
 
Develop electrical networks and translate them into Boolean Algebra equations.
 

Problem Solving

TSS.Math.AM.A.PS  —  Conceptual Category: Algebra
 
Apply problem solving techniques to real-world situations.
Apply problem solving strategies to real-world situations.
 

Investigate Logic

TSS.Math.AM.G.L  —  Conceptual Category: Geometry
 
Use logic to make arguments and solve problems.
Define the order of operations for the logical operators.
 
Define conjunction, disjunction, negation, conditional, and biconditional.
 
Solve a variety of logic puzzles.
 
Construct and use a truth table to draw conclusions about a statement.
 
Determine the validity of arguments.
Apply the laws of logic to judge the validity of arguments.
 
Give counterexamples to disprove statements.
 
Analyze arguments with quantifiers through the use of Venn diagrams.
 
Represent logical statements with networks.
 

Organize and Interpret Data

TSS.Math.AM.D.ID  —  Conceptual Category: Derivatives
 
Analyze data from multiple viewpoints and perspectives.
Organize data for problem solving.
 
Use a variety of counting methods to organize information, determine probabilities, and solve problems.
 
Translate from one representation of data to another, e.g., a bar graph to a circle graph.
 
Calculate and interpret statistical problems using measures of central tendency and graphs.
 
Calculate expected value, e.g., to determine the fair price of an investment.
 
Analyze survey data using Venn diagrams.
 
Evaluate and compare two investments or strategies, where one investment or strategy is safer but has lower expected value. Include large and small
 

Counting and Combinatorial Reasoning

TSS.Math.AM.D.CR  —  Conceptual Category: Derivatives
 
Apply probability and counting principles to realworld situations.
Use permutations, combinations, and the multiplication principle to solve counting problems.
 
Design and interpret simple experiments using tree-diagrams, permutations, and combinations.
 
Apply counting principles to probabilistic situations involving equally likely outcomes.
 
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.
Apply the Law of Large Numbers to contextual situations.
 
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.
 
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
 

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.
 
Construct the confidence interval for a mean and for a difference between two means.
 
 
♦  Academic Standards marked with a diamond are "Supporting Content" within the grade level or course.
 
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