6.G.4 Finding the Surface Area of 3-D Figures Using Nets

Posted: March 2, 2015 in Advance, Periods 1&2, Periods 3&4

Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems.

Lesson Videos:

Identify the parts of three-dimensional solids

In this lesson, you will learn how to identify the parts of three-dimensional figures and prisms, by locating faces, bases, vertices, edges, and height.

Represent three-dimensional figures with nets

In this lesson, you will learn how to represent three-dimensional figures with nets, by analyzing their faces and bases.

Analyze rectangular prisms to find surface area – Part 1

In this lesson you will learn how to analyze rectangular prisms by locating pairs of congruent faces.

Analyze rectangular prisms to find surface area – Part 2

In this lesson you will learn how to develop a plan for finding surface area by applying your knowledge of congruent faces.

Find surface area of rectangular prisms

In this lesson you will learn how to find the surface area of a rectangular prism by analyzing the prism’s six faces, and computing their areas.

Analyze triangular prisms to find surface area – Part 1

In this lesson you will learn how to analyze triangular prisms by locating and assessing pairs of congruent triangular faces.

Analyze triangular prisms to find surface area – Part 2

In this lesson you will learn how to develop a plan for finding triangular prism surface area by applying your knowledge of congruent faces.

Solve real-world problems with surface area

In this lesson you will learn how to solve real-life problems by applying your knowledge of surface area.

Decide whether to find area, surface area, or volume

In this lesson you will learn to determine whether to find area, surface area, or volume in a given situation by thinking about what units are needed.

Isolation Drills:

Nets of 3D figures

Surface area

Surface area using nets

Interactive Practice:

  1. 2-D to 3-D Morphing – Use geometry to make flat shapes “rise up” into fun 3D objects.
  2. 3-D Object Viewer – Students may explore a variety of 3-D objects and their accompanying 2-D views.
  3. Building Houses with Side View – Student constructs a block figure (dynamic, perspective drawing) to match (10 different figures)
  4. Coloring 2-D sides – Use the colored portion of the 3-D object to color the correct side of the 2-D drawing.
  5. Coloring 3-D sides – Find the red sides shown in a series of 2-D drawings and click on the right face of the 3-D model to color it red. 20 questions [UK spelling on this site]
  6. Cube – Find out which colors will be on opposite faces of a cube whose faces are shown unfolded.
  7. From 2-D to 3-D – Flash animation video lesson
  8. Guess the View – Students are given a 3-D view of an object, and then given a 2-D view of the object. Students must choose which of 6 views is being displayed from a list.
  9. Plot Plans and Silhouettes – From Shape and Space in Geometry – the student task is to come up with plot plans that could match the given silhouettes.
  10. Plot Plans and Silhouettes – Background information
  11. Point Out the View – A ten level activity from PBS Kids, students must show what 2-D view each of four viewers would see when looking at a stack of blocks
  12. Rotating Houses – Students are presented with a 3-D figure created with blocks that can be rotated and flipped using a mouse. The figure must be rotated until it matches a 2-D representation of one of the views.

 

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