Standard 05 by CX9Qm392

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```									                                                          Geometry
Standard 5:
The student makes hypotheses, models situations, draws conclusions, and
supports claims using geometric concepts and procedures.

Components                           Evidence of Learning

5.1 Make and test conjectures    a. Use physical, symbolic, and technological models
NOTE: This                                                    to explore conjectures.
Standard assumes
the student is already    and circles) and 3-D figures
proficient with the       (spheres, right prisms and
concepts and              pyramids, right circular
procedures described      cylinders and cones), or
in Components 1.2
and 1.3 of the            figures constructed
Washington State          from these shapes.
Expectations (GLEs)
Of the components         5.2 Represent the relevant       a. Use basic 2-D figures such as circles or polygons
included here, standard   features of a physical              to represent objects essential to a situation.
5.4 represents the most
significant extension     situation using 2-D figures
of geometric              with and without a coordinate    b. Include additional line segments to represent
understanding beyond      system.                             important known or unknown distances.
c. Introduce a coordinate system when useful for
describing the position of objects in a situation.

5.3 Use properties of and        a. Inductively generate a conjecture and deductively
relationships between 2-D or         support it.
3-D figures to
draw and justify conclusions     b. Apply and justify the applicability of
about a situation represented       transformations, congruence, similarity, ratios,
and proportions in problem-solving situations.
with such figures with or
without a coordinate
c. Distinguish between area and perimeter of 2-D
system.                             figures, surface area, and volume of 3-D figures.
[see GLE 1.3.2, 1.3.3, 1.3.4
(grades 8, 9/10)]                d. Calculate the area and perimeter of circles,

e. Use the Pythagorean Theorem (or distance
formula) in 2-D and 3-D situations when
appropriate to compute unknown distances.

f. Calculate the volume and surface area of spheres,
right rectangular prisms, and right circular
cylinders, right prisms ,right pyramids, and right
cones

g. Graph ellipses and hyperbolas whose axes are
parallel to the x and y axes, and demonstrate
understanding of the relationship between their
standard algebraic form and their graphical
characteristics.
Geometry            (continued
Components                          Evidence of Learning

For more              5.4 Recognize and apply the      a. Use sine, cosine or tangent to find unknown
information           basic right triangle                distances and angles.
on Washington         trigonometric relationships
State’s Grade                                          b. Use the inverse of sine, cosine, or tangent to find
(sine, cosine, and tangent) to
Level Expectations                                        the measure of a missing angle.
(GLEs), visit the     solve problems.
OSPI website:
www.k12.wa.us/                                         c. Understand the relationship of cotangent, secant,
curriculumInstruct/                                       and cosecant to basic right-triangle ratios
mathematics/pubdocs                                    .
/pdf/MathGLE.pdf                                       d. Use Law of Cosines and Law of Sines to solve
problems.

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