Find resources aligned to Texas Essential Knowledge and Skills (TEKS)

describe and calculate how the magnitude of the electric force between two objects depends on their charges and the distance between their centers;

explain the need for weighted voting and how it works;

identify and describe examples of electric and magnetic forces and fields in everyday life such as generators, motors, and transformers;

identify voting concepts such as Borda count, Condorcet winner, dummy voter, and coalition; and

compute the Banzhaf power index and explain its significance.

characterize materials as conductors or insulators based on their electric properties; and

investigate and calculate current through, potential difference across, resistance of, and power used by electric circuit elements connected in both series and parallel combinations.

Fair division. The student applies the adjusted winner procedure and Knaster inheritance procedure to real-world situations. The student is expected to:

Science concepts. The student knows that changes occur within a physical system and applies the laws of conservation of energy and momentum. The student is expected to:

use the adjusted winner procedure to determine a fair allocation of property;

investigate and calculate quantities using the work-energy theorem in various situations;

use the adjusted winner procedure to resolve a dispute;

investigate examples of kinetic and potential energy and their transformations;

explain how to reach a fair division using the Knaster inheritance procedure;

calculate the mechanical energy of, power generated within, impulse applied to, and momentum of a physical system;

solve fair division problems with three or more players using the Knaster inheritance procedure;

demonstrate and apply the laws of conservation of energy and conservation of momentum in one dimension; and

explain the conditions under which the trimming procedure can be applied to indivisible goods;

explain everyday examples that illustrate the four laws of thermodynamics and the processes of thermal energy transfer.

identify situations appropriate for the techniques of fair division;

compare the advantages of the divider and the chooser in the divider-chooser method;

Science concepts. The student knows the characteristics and behavior of waves. The student is expected to:

examine and describe oscillatory motion and wave propagation in various types of media;

discuss the rules and strategies of the divider-chooser method;

investigate and analyze characteristics of waves, including velocity, frequency, amplitude, and wavelength, and calculate using the relationship between wavespeed, frequency, and wavelength;

resolve cake-division problems for three players using the last-diminisher method;

compare characteristics and behaviors of transverse waves, including electromagnetic waves and the electromagnetic spectrum, and characteristics and behaviors of longitudinal waves, including sound waves;

analyze the relative importance of the three desirable properties of fair division: equitability, envy-freeness, and Pareto optimality; and

investigate behaviors of waves, including reflection, refraction, diffraction, interference, resonance, and the Doppler effect; and

identify fair division procedures that exhibit envy-freeness.

describe and predict image formation as a consequence of reflection from a plane mirror and refraction through a thin convex lens.

Game (or competition) theory. The student uses knowledge of basic game theory concepts to calculate optimal strategies. The student analyzes situations and identifies the use of gaming strategies. The student is expected to:

Science concepts. The student knows simple examples of atomic, nuclear, and quantum phenomena. The student is expected to:

recognize competitive game situations;

describe the photoelectric effect and the dual nature of light;

represent a game with a matrix;

identify basic game theory concepts and vocabulary;

compare and explain the emission spectra produced by various atoms;

calculate and describe the applications of mass-energy equivalence; and

determine the optimal pure strategies and value of a game with a saddle point by means of the minimax technique;

give examples of applications of atomic and nuclear phenomena using the standard model such as nuclear stability, fission and fusion, radiation therapy, diagnostic imaging, semiconductors, superconductors, solar cells, and nuclear power and examples of applications of quantum phenomena.

explain the concept of and need for a mixed strategy;

compute the optimal mixed strategy and the expected value for a player in a game who has only two pure strategies;

model simple two-by-two, bimatrix games of partial conflict;

identify the nature and implications of the game called "Prisoners' Dilemma";

explain the game known as "chicken";

identify examples that illustrate the prevalence of Prisoners' Dilemma and chicken in our society; and

determine when a pair of strategies for two players is in equilibrium.

Theory of moves. The student analyzes the theory of moves (TOM). The student uses the TOM and game theory to analyze conflicts. The student is expected to:

compare and contrast TOM and game theory;