6.G.3 - About the Math, Learning Targets, and Increasing Rigor

Grade 5 AGL Geometry

6.G.3

Full Standard

Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving real-world and mathematical problems.

 

Learning Targets (I can)

  • Draw polygons on the coordinate plane when given coordinates of the vertices.
  • Apply understanding of attributes of polygons to find unknown coordinates.
  • Solve real-world problems with polygons on a coordinate plane.

 

About the Math

Students learning Grade 6 mathematics standards build on their work with area in the previous grades by reasoning about relationships among shapes to determine area, surface area, and volume. They find areas of right triangles, other triangles, and special quadrilaterals by decomposing these shapes, rearranging or removing pieces, and relating the shapes to rectangles. Using these methods, student discuss, develop, and justify formulas for areas of triangles and parallelograms. Students find areas of polygons and surface area they can determine. They reason about right rectangular prisms with fractional side lengths to extend formulas for the volume of a right rectangular prism to fractional side lengths. They prepare for work on scale drawings and constructions in Grade 7 mathematics by drawing polygons in the coordinate plane. Essential vocabulary for this standard includes: axis/axes, coordinate, coordinate plane, coordinate system, length, ordered pair, origin, polygon, side, and vertex/vertices. Visit the online dictionary Links to an external site. or visual math dictionary Links to an external site. for vocabulary support.

 

Progression of Standard within Grade 6 (5 AGL)

This progression informs how to develop the standard within the grade level. This progression is provided by HCPSS Elementary Mathematics.

Progression Throughout Year
Quarter 1 Quarter 2 Quarter 3 Quarter 4

 

  • Draw polygons on the coordinate plane when given coordinates of the vertices.
  • Apply understanding of attributes of polygons to find unknown coordinates.
  • Solve real-world problems with polygons on a coordinate plane.

 

Progression of this Standard Across Grades

This progression is informed by the Achieve the Core Coherence Map Links to an external site.. Information is not the complete standard.

Progression Across Grades
Grade 5 Grade 8

Real world problems graphed on coordinate system (5.G.2)

Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates (8.G.3)

 

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