State Curriculum - Mathematics

 
Grade 5
Standard 2.0 Knowledge of Geometry: Students will apply the properties of one-, two-, or three-dimensional geometric figures to describe, reason, or solve problems about shape, size, position, or motion of objects.
A. Plane Geometric Figures
1. Analyze the properties of plane geometric figures
a. Identify and describe relationships of lines and line segments in geometric figures or pictures
b. Identify polygons within a composite figure
    Assessment limit:
  • Use polygons with no more than 8 sides as part of a composite figure comprised of triangles or quadrilaterals
c. Identify and describe the radius and diameter of a circle
2. Analyze geometric relationships
a. Compare and classify quadrilaterals by length of sides and types of angles (Include the angle symbol <ABC)
    Assessment limit:
  • Use squares, rectangles, rhombi, parallelograms, and trapezoids
b. Compare triangles by sides
B. Solid Geometric Figures
1. Analyze the properties of solid geometric figures
a. Identify and classify pyramids and prisms by the number of edges, faces, or vertices
    Assessment limit:
  • Use triangular pyramids, rectangular pyramids, triangular prisms, or rectangular prisms
b. Identify and classify pyramids and prisms by the base
    Assessment limit:
  • Use triangular prisms and pyramids or rectangular prisms and pyramids
2. Analyze the relationship between plane geometric figures and faces of solid geometric figures
a. Compare a plane figure to faces of solid geometric figure
    Assessment limit:
  • Analyze and identify the number or arrangement of rectangles needed to make a rectangular prism, number of triangles/rectangles needed to make a triangular prism, and the number of circles/rectangles needed to make a cylinder.
C. Representation of Geometric Figures
1. Represent plane geometric figures
a. Identify, describe, and draw angles, parallel line segments, and perpendicular line segments
    Assessment limit:
  • Provide their dimensions as whole numbers (0 - 20) or angle measurements (0° - 179°)
D. Congruence and Similarity
1. Analyze similar figures to
a. Identify or describe geometric figures as similar
    Assessment limit:
  • Use same shape and different size
E. Transformations
1. Analyze a transformation
a. Identify and describe the results of translations, reflections, and rotations of geometric figures
    Assessment limit:
  • Use translation along a vertical line, reflection over a horizontal line, or rotation 90° or 180° around a given point
 

Note: Highlighted assessment limits will be tested in the no calculator section of MSA. In the assessment limit, (0-10) or (-10 to 10) means all numbers in the problem or the answer will fall within the range of 0 to 10 (including endpoints) or -10 to 10 (including endpoints), respectively. All content standards are tested in MSA but not all objectives. Objectives that have an assessment limit are tested on MSA. Objectives without an assessment limit are not tested on MSA.

 

MSDE has developed a toolkit for these standards which can be found online at: http://mdk12.org/instruction/curriculum/mathematics/vsc_toolkit.html.

 

June 2004