| (A) apply the formula for the area of regular polygons
to solve problems using appropriate units of measure;
(B) determine the area of composite two-dimensional
figures comprised of a combination of triangles, parallelograms, trapezoids,
kites, regular polygons, or sectors of circles to solve problems using
appropriate units of measure;
(C) apply the formulas for the total and lateral surface
area of three-dimensional figures, including prisms, pyramids, cones,
cylinders, spheres, and composite figures, to solve problems using
appropriate units of measure; and
(D) apply the formulas for the volume of three-dimensional
figures, including prisms, pyramids, cones, cylinders, spheres, and
composite figures, to solve problems using appropriate units of measure.
(12) Circles. The student uses the process skills to
understand geometric relationships and apply theorems and equations
about circles. The student is expected to:
(A) apply theorems about circles, including relationships
among angles, radii, chords, tangents, and secants, to solve non-contextual
problems;
(B) apply the proportional relationship between the
measure of an arc length of a circle and the circumference of the
circle to solve problems;
(C) apply the proportional relationship between the
measure of the area of a sector of a circle and the area of the circle
to solve problems;
(D) describe radian measure of an angle as the ratio
of the length of an arc intercepted by a central angle and the radius
of the circle; and
(E) show that the equation of a circle with center
at the origin and radius r is x2 + y2 = r2 and determine
the equation for the graph of a circle with radius r and center (h,
k), (x - h)2 + (y - k)2 = r2 .
(13) Probability. The student uses the process skills
to understand probability in real-world situations and how to apply
independence and dependence of events. The student is expected to:
(A) develop strategies to use permutations and combinations
to solve contextual problems;
(B) determine probabilities based on area to solve
contextual problems;
(C) identify whether two events are independent and
compute the probability of the two events occurring together with
or without replacement;
(D) apply conditional probability in contextual problems;
and
(E) apply independence in contextual problems.
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