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

Grade 5 GT Geometry

7.G.6

About the Math

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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Instructional Tasks

TASKS

These tasks can be used with small group or whole group instruction.

  • Make a birdhouse: What three-dimensional figures make up the birdhouse? What methods could you use to find the surface area of the birdhouse? How could you find the volume of the birdhouse?
  • Provide students with grains of rice, a pyramid, and a prism to work to  compare the volume of each.

 

SLIDE-BASED TASKS 

 These links are HCPSS created instructional tasks. These tasks are provided in Google slides. These tasks should be used for inspiration and resources, but instruction should start with students having the opportunity to engage with the math first (often involving physical and/or visual models) followed by discussion and explicit instruction to ensure student understanding.

Module 13 • Area, Volume, and Surface Area

Solve Problems Involving Area, Volume, and Surface Area:

 

Additional Tasks

These links provide instructional ideas connected to this standard. [NOTE: NCTM membership required for access to Illuminations lessons.] 

 

Tasks From Print Resources

These publications have been provided for each school. They are typically stored in team closets or the media center. Check with your team leader if you cannot find them. 

Print Resources
Book Thumbnail Book Title Grade Pages

Teaching Student-Centered Mathematics

6-8

 

Hands on Standards Common Core

 

7

98-101

102-105

 Teaching the Common Core Math Standards with Hands-On Activities 

6-8

 127-128

 

 

 

 

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Independent Work

Centers

These print resources can be used during independent or center time. These resources could also be used as lesson seeds.

 

 

 

INDEPENDENT PRACTICE/HOMEWORK/ASSESSMENT

 These resource sheets can be used for independent practice, homework, or assessment. They are intended to reinforce procedures and concepts. They should not be used as a source of direct instruction or whole-group practice.

 

 

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Assessment

 Learning Targets

rubric

  • 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.

 

Learning targets identify what students should be able to do. This rubric can be applied to tasks and observations for assessment and/or grading. 

 

 

 

 

 

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 This course content is offered under a CC Attribution Non-Commercial Share Alike Links to an external site. license. Content in this course can be considered under this license unless otherwise noted.