| Learning
Standards for Mathematics, Science, and Technology at Three Levels
Standard 3: Commencement
Students will understand mathematics and
become mathematically confident by communicating and reasoning mathematically,
by applying mathematics in real-world settings, and by solving problems
through the integrated study of number systems, geometry, algebra,
data analysis, probability, and trigonometry.
Operations
3. Students use mathematical operations and relationships among
them to understand
mathematics.
Students:
use addition, subtraction, multiplication,
division, and exponentiation with real numbers and
algebraic expressions.
develop an understanding of and use the
composition of functions and transformations.
explore and use negative exponents on integers
and algebraic expressions.
use field properties to justify mathematical
procedures.
use transformations on figures and functions
in the coordinate plane.
This is evident, for example, when students:
determine the coordinates of triangle
A(2,5), B(9,8), and C(3,6) after a translation (x,y)
--> (x + 3, y - 1).
evaluate the binary operation defined as
x * y = x-2 + (y + x)2 for 3 * 4.
identify the field properties used in solving
the equation 2(x - 5) + 3 = x + 7.
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