Grade 12

Spatial Relationships, Geometry, and Logic

4.12.1

E/S

Identify and use the parts of a
circle
to
solve
mathematical
and
practical problems.

Identify and apply properties of interior and exterior angles of polygons to solve mathematical and practical problems.

Identify and apply properties of interior and exterior angles of polygons to solve mathematical and practical problems.

4.12.2

E/S

E/S

Apply properties of
similarity
through
right triangle trigonometry
to find missing
angles
and sides.

4.12.5

E/S

Determine the
slope
of lines using coordinate geometry and algebraic techniques.

Identify parallel, perpendicular, and intersecting lines in space.

Graph linear equations and find possible solutions to those equations using coordinate geometry.

Find possible solution sets of systems of equations whose slopes indicate parallel, perpendicular or intersecting lines.

Identify parallel, perpendicular, and intersecting lines in space.

Graph linear equations and find possible solutions to those equations using coordinate geometry.

Find possible solution sets of systems of equations whose slopes indicate parallel, perpendicular or intersecting lines.

4.12.6

I/S

I/S

Solve
problems using
complementary
and
supplementary angles,
congruent
angles,
vertical angles, and
angles,
formed when
parallel lines
are cut by a
transversal.

4.12.7

I/S

I/S

Apply the
Pythagorean Theorem
and its
converse
in
mathematical
and
practical situations.

4.12.8

W/L

W/L

Solve
problems by drawing and/or
*constructing
geometric figures to demonstrate geometric relationships.

4.12.9

I/S

I/S

Formulate,
evaluate,
and
justify
arguments using
inductive
and
deductive reasoning
in
mathematical
and
practical situations.