Surface   areas solids 

The students will understand the concept of surface area. Lateral area and total area of solids. They will practice with measurements of lines.

Standards: The students will be informed of the objectives of this lesson and what do we expect from them in this Lesson. At the end of this lesson the students will understand how to calculate the surface area of geometric solids like Pyramid, Cone and Cube. They will learn how to draw nets and make the correspondent geometric solids.

Like a hook they will see the picture of a famous Hotel in Las Vegas and an engineering problem related to the volume of a pyramid will be presented to them/. They will see the net and the construction of a geometric solid. They will analyze how to calculate the Surface Area of the solids using the correspondent net. They will look a net and how to manage the net for getting the geometric solid.

Input: the teacher will inform the students what do they need to do the development of the lesson. For this Lesson they will need to draw the net of the solid they are going to generate. (Pyramid, Cone, Cylinder, Cube), measure the correspondent lines, cut off the nets and make the figures  

Modeling: The teacher will present pictures of what is expected from them. The teacher will show them attractive figures (sketchpad) of these solids. In this lesson they will see some sketch[ad models of Cubes, Pyramids, Cones , And Cylinders.

Checking for understanding: To see if the students got the idea of their work to do.

Question for complete comprehension of this Lesson. Hot (Higher Order Thinking) questions to check full understanding of the concepts. The change in the height of the triangles in the Pyramid Net what changes causes to the Pyramid? The change of the radius used to draw the net for the cone what changes causes to the final result? etc. How can we do the net for getting a Regular Pyramid, for getting a pyramid with maximum volme, for getting a pyramid with the same height as the side of the base? Guided Practice: The students will draw nets of pyramids of different dimensions, and will measure their sides, calculating the volume and surface area of the solids generated by those nets. The teacher supervises the work done for the students, giving corrections or guide to get a final good result of the solids. They will graph the results in terms of volume in function of the side of the base.

Closure: the students summarize the ideas given in this lesson, reinforcing the main concepts and definitions studied in this lesson. Cornell Notes for these concepts. Materials and resources needed: Tape, colored cardboards, scissors, rulers, compass, glue. Sketchpad program to show the solids. Slides of Pyramidal shapes.

 

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