Download Standard 3 - Briar Cliff University

Mathematics Curriculum
Diocese of Sioux City
Grade 6
Standard 2
Standard 3: Understands and applies properties of geometry.
Benchmark 1: Uses properties of figures to describe relationships
Vocabulary
Critical Objectives:
6.3.1.1. Identifies and names line segments, rays, lines, parallel lines and
Parallel lines
Perpendicular
perpendicular lines
Intersecting lines
6.3.1.2. Describes figures using properties of lines (ITBS)*
Line segment
6.3.1.3. Understands point, line, and plane are basic terms in geometry
Line
and are used to define other terms
Ray
6.3.1.4. Knows line segments are bound at both points, while rays extend
Acute angle
Right angle
infinitely out in one direction and lines are infinitely out in both
Obtuse angle
directions
Adjacent angle
6.3.1.5. Knows lines, rays, and line segments can be parallel,
Diameter
perpendicular, or intersecting
Radius
6.3.1.6. Identifies the various types of lines in figures
Center
6.3.1.7. Names intersecting, perpendicular and parallel lines (ITBS)
6.3.1.8. Recognizes geometric properties in patterns (ITBS)
6.3.1.9. Classifies and names angles as acute, right, obtuse or straight
6.3.1.10. Describes figures using properties of angles (ITBS)*
6.3.1.11. Knows the measure of acute, right, and obtuse angles
6.3.1.12. Knows the relationship between adjacent angles
6.3.1.13. Identifies the various types of angles in figures
6.3.1.14. Sorts figures based on angle type (ITBS)
6.3.1.15. Describes figures using properties of circles
6.3.1.16. Knows the parts of a circle
6.3.1.17. Identifies various parts of a circle
6.3.1.18. Classifies polygons as triangles, quadrilaterals, pentagons, hexagons, octagons or
decagons
6.3.1.19. Classifies triangular and rectangular prisms and names their parts
Diocese of Sioux City
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2006
Mathematics Curriculum
Diocese of Sioux City
Grade 6
Standard 2
Standard 3: Understands and applies properties of geometry.
Benchmark 2: Uses coordinate geometry to describe relationships
Critical Objectives:
6.3.2.1. Uses the coordinate plane to specify locations, describe paths,
and find distances between points
6.3.2.2. Knows the four quadrants of the coordinate plane
6.3.2.3. Knows how to determine length using coordinate points
6.3.2.4. Locates specific coordinate pairs on a grid
6.3.2.5. Determines length using coordinate points
Diocese of Sioux City
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Vocabulary
Coordinate plane
Point
Quadrant
Origin
Line
x-intercept
y-intercept
2006
Mathematics Curriculum
Diocese of Sioux City
Grade 6
Standard 2
Standard 3: Understands and applies properties of geometry.
Benchmark 3: Applies the concepts of transformation and symmetry
Critical Objectives:
6.3.3.1. Describes sizes and orientations of figures using translations,
rotations, and reflections
6.3.3.2. Knows the basic types of transformations
6.3.3.3. Understands a tessellation is a repeating pattern of one or more
shapes that contains no gaps
6.3.3.4. Recognizes and sketches the basic classes of transformations
6.3.3.5. Creates tessellated designs
6.3.3.6. Uses line symmetry to describe various figures
6.3.3.7. Knows various figures have a line symmetry containing the
midpoints of the parallel opposite sides
6.3.3.8. Knows the line of or corresponding angles are congruent
6.3.3.9. Describes characteristics of figures using line symmetry
Diocese of Sioux City
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Vocabulary
Transformation
Reflection
Translation
Rotation
Tessellation
Line symmetry
Midpoint
Parallel lines
Corresponding angles
2006
Mathematics Curriculum
Diocese of Sioux City
Grade 6
Standard 2
Standard 3: Understands and applies properties of geometry.
Benchmark 4: Uses geometric reasoning to solve problems
Critical Objectives:
6.3.4.1. Uses models to develop spatial visualization of threedimensional figures
6.3.4.2. Understands a three-dimensional figure can have many nets
6.3.4.3. Draws nets of three-dimensional figures
6.3.4.4. Draws perspectives of three-dimensional objects
6.3.4.5. Determines the perimeter and area of complex figures (ITBS)*
6.3.4.6. Knows the formulas for perimeter
6.3.4.7. Knows the formulas for area
6.3.4.8. Understands the meaning of the variables in each formula
6.3.4.9. Discovers the formula for perimeter and area of complex
figures using the formulas of simple figures
6.3.4.10. Computes the perimeter of complex figures (ITBS)
6.3.4.11. Computes the area of complex figures
6.3.4.12. Uses proportional reasoning (ITBS)*
6.3.4.13. Knows similar figures have equal angles
6.3.4.14. Knows characteristics of similar figures
6.3.4.15. Determines similarity of shapes using scale factor (ITBS)
6.3.4.16. Creates dilations of figures
6.3.4.17. Computes the perimeter of a polygon
6.3.4.18. Computes the area of a rectangle and of a right angle
Diocese of Sioux City
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Vocabulary
Network
Graph theory
Vertices
Edge
Isometric paper
Cross section
Net
Perspective
Formula
Perimeter
Complex figure
Scale factor
Dilation
2006