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 This topic has 1 reply, 1 voice, and was last updated 10 years, 4 months ago by Sharma.

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April 12, 2014 at 5:30 am #2045SharmaKeymaster
Note: for full lesson w/handouts, see attached document
Materials:
Playdoh (1 container per 2 students)
Plastic knife (1 per student) OR Dental Floss (approx. 1 foot per student)
3D solids from for models (optional) rectangular prism, triangular prism, square based pyramid.Opening:
Ask students what a “cross section” is. Use thinkpairshare to let them discuss. Then ask if they could dig a whole to get to the other side of the Earth. Have a few students explain. Then put up the picture of a crosssection of the Earth. Ask students why a crosssection is valuable and what it shows that we can’t see from the outside. Tell students today they will be examining crosssections of 3dimesional shapes.Part 1: Rectangular Prism
Pass out playdoh to each student and have them create a rectangular prism.
Then pass out dental floss or plastic knives to each student. Have everyone follow along with you as you slice your playdoh perpendicular to the base (see example on page 1). Have students slice their prism the same way and the ask them to show you the cross section and chorale state the name of this shape (rectangle). Show them how they would draw both the 3D picture and draw and label the crosssection. Instruct them to rebuild their rectangular prism and complete the next slice. Let students work alone or in pairs/groups and work at their own pace.
Once most students have completed part 1, select students to share their responses.
Note: for “other” cuts, encourage students to try cuts that do not go through the base.Parts 23: Triangular Prism and Squarebased Pyramid
Allow students to work at their own pace through parts 2 and 3, encouraging them to look for any different slices for each shape.Part 4: Conclusions
If students have not completed the conclusions, then give them 5 minutes to do so independently followed by 2 minutes to share their results with their partner of group. Finally, check their understanding by having the class chorale response each question:
For Rectangular Prisms:
Perpendicular slices take the shape of lateral face.
Parallel slices take the shape of the base.
Diagonal slices create parallelograms.For Triangular Prisms:
Perpendicular slices take the shape of lateral face.
Parallel slices take the shape of the base.
Diagonal slices create parallelograms or triangles.For the Squarebased Pyramid:
Perpendicular slices can be a triangle (if through apex) or a trapezoid, if anywhere else.
Parallel slices take the shape of the base.
Diagonal slices take the shape of a trapezoid or a triangle (if not through the base).Optional:
Have students create a thinking map to summarize their findings.Source: http://auhsdmath.pbworks.com/
Attachments:

April 12, 2014 at 5:33 am #2047SharmaKeymaster
Homework or Worksheet supplement for the above lesson: http://auhsdmath.pbworks.com/w/file/fetch/77335991/Cross%20Sections%20of%20Polyhedron.pdf


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