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

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)

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 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.

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.

Additional Tasks

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

• Lesson 7.17 - Building Prisms Links to an external site. (Open-Up Resources -Illustrative Math)
• Sand Under the Swing Set  Links to an external site.(Illustrative Math) 
• Problems Involving Volume  Links to an external site. (Engage NY)
• Giant Snickers Bar Links to an external site.(Yummy Math, 3 Act Task)
• Popcorn, Anyone? Links to an external site. (Illuminations)

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

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.

• Solve Geometric Measurement Problems a Links to an external site.
• Solve Geometric Measurement Problems b Links to an external site.
• Solve Geometric Measurement Problems c Links to an external site.
• Solve Geometric Measurement Problems d Links to an external site.
• Solve Geometric Measurement Problems e Links to an external site.
• Solve Geometric Measurement Problems f Links to an external site.

• Find Surface Area of a Rectangular Prism Links to an external site.
• Apply Knowledge of Volume Formulas to Solve Problems Links to an external site.
• Apply Knowledge of Volume and Surface Area to Solve Problems Links to an external site.
• Compare Volumes of Rectangular Prisms Links to an external site.

 Learning Targets

• 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. 

Rubric for Tasks Links to an external site.