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Presentation transcript:

Lesson Objective: I can… Lesson Topic: Representing 3-Dimensional Figures Using Nets & Constructing Nets Lesson Objective: I can… I can construct 3-dimensional figures through the use of nets, determine which nets make specific solid figures, and determine if nets can or cannot make a solid figure. Construct nets of 3-dimensional objects using the measurements of a solid’s edges. Numbered heads together/kagan

Looking Ahead… Final Geometry Test Thursday – Study & Practice!!! Come in for tutoring Thursday morning

Review of Lesson 11-12 To determine how many fractional unit cubes fit in a right rectangular prism: Multiply each dimension by the denominator of the fractional size of the unit cube (length, width, & height) Multiply lwh

Review of Lesson 13-14 Describe this 3D figure: it looks like 2 rectangular prisms that have been placed together to form one large rectangular prism. I can think of it as a pice on the left/right or as a piece in front/behind

What do you think the six square shapes will fold up into? What about this one?

Pyramids are named for the shape of the base Video Time! Nets of 3-D figures are 2-D figures that can fold up into the 3-D solids themselves Pyramids are named for the shape of the base Video Time! https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-geometry-topic/cc-6th-volume-surface-area/v/nets-of-polyhedra

Note… Make sure the amount of faces are the same when matching a net to a 3D figure. A triangular pyramid that has equilateral triangles for faces is called a tetrahedron Constructing solid figures from their nets helps us see the “suit” that fits around it. We will use this tomorrow to find surface area.

11 work, 9 don’t Can: a, b, c, e, g, I, l, m, o, p, t Can’t: d, f, h, j, k, n, q, r, s

Vocabulary A prism is a slid geometric figure whose two bases are parallel to identical polygons and whose sides are parallelograms. A pyramid is a solid geometric figure formed by connecting a polygonal base and a point forming triangular lateral faces. The point is sometimes referred to as the apex.

The total number of faces will be two more than the number of sides in the polygonal bases for prisms.

Lw, wh, hl How can we use the dimensions of a rectangular solid to figure out the dimensions of the polygons that make up its net? What are the dimensions of each face of this prism? Draw and label each.

Lesson Summary & Evaluate Your Learning Answer in complete sentences: 1 – What kind of information can be obtained from a net of a prism about the solid it creates? 2 – When looking at a net, how can you determine which faces are the bases? 3 – How do the nets of a prism differ from the nets of a pyramid? 4 – What are the most important considerations when making nets of solid figures? How will you “Sharpen Your Saw”? After all faces are made into polygons, what can you say about the arrangement ofthose polygons? Describe the similarities between the nets of right rectagular prisms. Describe the similarities between the nets of pyramids How can you test your net to be sure that it is really a true net of the solid?