Big Idea 2 : BIG IDEA 2 (Archived)



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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
Code Description
MA.7.G.2.1: Justify and apply formulas for surface area and volume of pyramids, prisms, cylinders, and cones.
MA.7.G.2.2: Use formulas to find surface areas and volume of three-dimensional composite shapes.


Related Access Points

This cluster includes the following access points.

Independent

Access Point Number Access Point Title
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

Access Point Number Access Point Title
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

Access Point Number Access Point Title
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

Name Description
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. 

 

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.

Cylinder Volume Lesson Plan:

Using volume in the real world

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.

Teaching Ideas

Name Description
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).
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.

Unit/Lesson Sequence

Name Description
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.

Virtual Manipulative

Name Description
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.