West Virginia: High School Mathematics III STEM Math Standards
0 standards · 12 domains
EXTEND POLYNOMIAL IDENTITIES TO THE COMPLEX NUMBERS. FOR EXAMPLE, REWRITE X^2 + 4 AS (X + 2I)(X – 2I).
KNOW THE FUNDAMENTAL THEOREM OF ALGEBRA; SHOW THAT IT IS TRUE FOR QUADRATIC POLYNOMIALS.
KNOW AND APPLY THE BINOMIAL THEOREM FOR THE EXPANSION OF (X + Y)^N IN POWERS OF X AND Y FOR A POSITIVE INTEGER N, WHERE X AND Y ARE ANY NUMBERS, WITH COEFFICIENTS DETERMINED FOR EXAMPLE BY PASCAL’S TRIANGLE.
UNDERSTAND THAT RATIONAL EXPRESSIONS FORM A SYSTEM ANALOGOUS TO THE RATIONAL NUMBERS, CLOSED UNDER ADDITION, SUBTRACTION, MULTIPLICATION, AND DIVISION BY A NONZERO RATIONAL EXPRESSION; ADD, SUBTRACT, MULTIPLY AND DIVIDE RATIONAL EXPRESSIONS.
DERIVE THE FORMULA A = 1/2 AB SIN(C) FOR THE AREA OF A TRIANGLE BY DRAWING AN AUXILIARY LINE FROM A VERTEX PERPENDICULAR TO THE OPPOSITE SIDE.
PROVE THE LAWS OF SINES AND COSINES AND USE THEM TO SOLVE PROBLEMS.
UNDERSTAND AND APPLY THE LAW OF SINES AND THE LAW OF COSINES TO FIND UNKNOWN MEASUREMENTS IN RIGHT AND NON-RIGHT TRIANGLES (E.G., SURVEYING PROBLEMS AND/OR RESULTANT FORCES).
USE PROBABILITIES TO MAKE FAIR DECISIONS (E.G., DRAWING BY LOTS OR USING A RANDOM NUMBER GENERATOR).
ANALYZE DECISIONS AND STRATEGIES USING PROBABILITY CONCEPTS (E.G., PRODUCT TESTING, MEDICAL TESTING, AND/OR PULLING A HOCKEY GOALIE AT THE END OF A GAME).
INFERENCES AND CONCLUSIONS FROM DATA
POLYNOMIALS, RATIONAL, AND RADICAL RELATIONSHIPS
TRIGONOMETRY OF GENERAL TRIANGLES AND TRIGONOMETRIC FUNCTIONS