Big Idea 2: BIG IDEA 2Archived

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Develop an understanding of and use formulas to determine surface areas and volumes of three-dimensional shapes.
General Information
Number: MA.7.G.2
Title: BIG IDEA 2
Type: Big Idea
Subject: X-Mathematics (former standards - 2008) - Archived
Grade: 7
Body of Knowledge: Geometry

Related Benchmarks

This cluster includes the following benchmarks.

Related Access Points

This cluster includes the following access points.

Independent

MA.7.G.2.In.a
Identify properties of three-dimensional figures, including pyramid, prism, or cylinder.
MA.7.G.2.In.b
Use stated formulas to solve for perimeter and area of rectangles.

Supported

MA.7.G.2.Su.a
Identify three-dimensional figures, including cone, pyramid, prism, and cylinder.
MA.7.G.2.Su.b
Add lengths of sides of rectangles to determine the distance around (perimeter) and find the area using square units.

Participatory

MA.7.G.2.Pa.a
Recognize common three-dimensional figures, such as sphere, cube, cylinder, or cone.
MA.7.G.2.Pa.b
Match common three-dimensional figures that are the same size.

Related Resources

Vetted resources educators can use to teach the concepts and skills in this topic.

Lesson Plans

Wrapping Up Geometry (Lesson 2 of 2):

This lesson is 2 of 2 and is primarily formative in nature, but includes a summative assessment for students to take during the following class period. 

During the lesson, students will be reviewing for their assessment on the surface area formula for a right rectangular prism. 

 

Type: Lesson Plan

Wallpaper Woes Money Math: Lessons for Life:

Students hear a story about a middle-school student who wants to redecorate his bedroom. They measure the classroom wall dimensions, draw a scale model, and incorporate measurements for windows and doors to determine the area that could be covered by wallpaper. Students then hear more about the student's redecorating adventure and learn about expenses, budget constraints, and tradeoffs.

Type: Lesson Plan

Cylinder Volume Lesson Plan:

Using volume in the real world

Type: Lesson Plan

All wrapped up in surface area fun!:

This lesson allows a hands-on approach for students to use real-life problem-solving. Students will apply their measurement skills to the concept of surface area. This lesson provides opportunities for students to work cooperatively with others as a team.

Type: Lesson Plan

Teaching Ideas

Modeling: Making Matchsticks:

This lesson unit is intended to help you assess how well students are able to:

  • Interpret a situation and represent the variables mathematically.
  • Select appropriate mathematical methods.
  • Interpret and evaluate the data generated.
  • Communicate their reasoning clearly.
The context is estimating how many matchsticks (rectangular prisms) can be made from this tree (conic).

Type: Teaching Idea

Packing For A L-o-o-o-ng Trip To Mars:

In this engineering task, students will apply concepts of volume to decide what they will need to take on a 2-1/2 year journey to Mars. Then plan how to fit everything into a 1-cubic-meter box, using only a measuring tape, pencil and paper, and math.

Type: Teaching Idea

Unit/Lesson Sequence

Three Dimensional Shapes:

In this interactive, self-guided unit on 3-dimensional shape, students (and teachers) explore 3-dimensional shapes, determine surface area and volume, derive Euler's formula, and investigate Platonic solids. Interactive quizzes and animations are included throughout, including a 15 question quiz for student completion.

Type: Unit/Lesson Sequence

Virtual Manipulative

Surface Area of Prisms:

This lesson is designed to develop students' knowledge of surface area and introduce them to calculating the surface area of a triangular prism. This lesson provides links to discussions and activities related to surface area as well as suggested ways to integrate them into the lesson. Finally, the lesson provides links to follow-up lessons designed for use in succession with the current one.

Type: Virtual Manipulative

Student Resources

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Parent Resources

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