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Sample Math Lesson

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Polyhedrons (4th Grade)

Lesson Rationale

This lesson is designed to remind and to teach students about polyhedrons, solid 3-dimensional geometric objects. They will also be taught how to identify bases of pyramids and prisms.


Objectives

  • The student will be able to identify five basic 3-dimensional shapes and discuss their characteristics.
  • The student will construct models of a pyramid and a prism and identify their characteristics.
  • The student will be able to identify symmetric shapes and draw lines of symmetry.

PA Standards

Academic Standards for Mathematics

2.9 Geometry

2.9.3 Grade 3

Pennsylvania’s Public Schools shall teach, challenge and support every student to realize his or her maximum potential and to acquire the skills and knowledge needed to:

A. Name and label geometric shapes in two and three dimensions (e.g., circle/sphere, square/cube, triangle/pyramid, rectangle/prism).

B. Build geometric shapes using concrete objects (e.g., manipulatives).

D. Find and describe geometric figures in real life.

E. Identify and draw lines of symmetry in geometric figures.

 

Anticipatory Set

Before introducing the topic to the students, show them different 3-dimensional objects from around the room and ask them to identify their shapes. For example, using a tissue box, ask them to identify its shape (rectangular prism). Continue with this for 5 or 6 different objects, then explain to them that, regardless of their differences, they are still all considered polyhedrons.


Materials

-   scissors

-   straightedge

-   tape, paste, or glue

-   3-D objects, such as a tissue box, can, sugar, cone, ball, and pyramid

-   Math Journal 1

-   Math Masters

                                                                                                                     

Objective

Procedure

Assessment

The student will be able to identify five basic 3-dimensional shapes and discuss their characteristics.

First make sure that the students understand the difference between 2- and 3-D shapes. Explain that 3-D shapes have thickness, as well as width and height. Whereas 2-D shapes are “flat” – having only width and height. Go over the characteristics that different polyhedrons have.


Have the students figure out, in discussion, what the different characteristics are between a picture of a cone and a pyramid or a triangular and rectangular pyramid. Ask for volunteers to try to see all the details in each shape.

The student will construct models of a pyramid and a prism and identify their characteristics.

 Using page 108 in Math Masters, have each student get together with a partner and cut out the pattern for the square pyramid, then fold it along the dashed lines and tape of paste it together. The tabs can go inside or outside the pyramid. Afterwards, have the groups move on to constructing the triangular prism, found on page 109.

Once the process of creating a square pyramid and a triangular prism are completed, discuss the shapes with the class. Identify the faces, edges, and vertices of the pyramid, then have the students point out those parts of their prism. Have the students afterwards come up to the board and attempt to draw as many different polyhedrons as possible. Provide them with ones they left out, then compare and contrast them all.


The student will be able to identify symmetric shapes and draw lines of symmetry

Have the students get into pairs and work on Math Journal 1, pages 152 and 153. This is simply a review of symmetry and lines of symmetry, something that even their polyhedrons had. It also goes over some division and angles.

Once their pages are done, have the students switch papers with another student and have them check it. Having the students do this activity will help refresh their memory on lessons that were just introduced to them recently and lessons that they learned a long time ago

Adaptations

No adaptations needed.


Assignments

Using Math Masters on page 289, have the students identify five basic 3-D shapes and explain the differences between 2-D and 3-D shapes. On this page, they’ll also find and name some 2-D and 3-D shapes at home. They bring those objects and pictures that have these shapes to school.

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