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

Grade 5 GT Geometry

7.G.6

Full Standard

Solve real-life and mathematical problems involving angle measure, area, surface area, and volume. Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.

 

Learning Targets (I can)

  • Determine the area of two - dimensional figures.
  • Compare and contrast surface area and volume.
  • Determine the surface area of three - dimensional figures.
  • Determine the volume of three - dimensional figures.
  • Solve real - world problems involving area, surface area, and volume.

 

About the Math

Knowledge of calculating area, volume, and surface area in extended when applied to the context of a real world problem or scenario. Both two-dimensional and three-dimensional figures are explored and polygons are decomposed into triangles and rectangles in order to find area. determine the accurate formula needed to determine the measurements being explored in the real world scenario. Essential vocabulary for this standard includes: length, width, base, height, area, surface area, volume, polygon, right prism, cube, quadrilateral, triangle, two-dimensional (2D), three-dimensional (3D), triangles, polygon. Visit the online dictionary (Links to an external site.) Links to an external site. or visual math dictionary (Links to an external site.) Links to an external site. for vocabulary support.

 

Progression of Standard within Grade 5 G/T

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
  • Determine the area of two - dimensional figures.
  • Compare and contrast surface area and volume.
  • Determine the surface area of three - dimensional figures.
  • Determine the volume of three - dimensional figures.
  • Solve real - world problems involving area, surface area, and volume.

 

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 6 Grade 8
  • Find area of triangles and special quadrilaterals (6.G.1)
  • Find the volume of prisms with formula and fractional edge lengths ( 6.G.2 )
  • Represent three-dimensional figures using nets and find surface area (6.G.4 )
  • Explain a proof of the Pythagorean Theorem and its converse (8.G.6)

 

 

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