Standard 05 by CX9Qm392


               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
                          about 2-D figures (polygons
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.
Grade Level               [see GLE 1.3.1]
Expectations (GLEs)
through grades 9/10.
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.
the Grade 9/10 GLEs.      [see GLE 1.3.3, Grades 9/10]
                                                           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,
                                                              triangles, quadrilaterals, and regular polygons.

                                                           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

                                                           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
                                                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:                                         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

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