- Abstract:
-
Finding area of rectangular solids and cylinders by cutting them into flat pieces and adding the areas.
- Subject:
- Mathematics and Statistics
- Grade Level:
- Secondary
- Collection:
- LEARN NC Lesson Plans
Finding area of rectangular solids and cylinders by cutting them into flat pieces and adding the areas.
Building on previous lessons, students use their knowledge of circumference and area to devise their own equation for finding the surface area of a cylinder. Chris engages his students as a class and in small groups, focusing on the thought process involved in applying what they know to a new problem.
This geometry lesson shows how to find the volume and surface area of a cylinder. [Geometry playlist: Lesson 20 of 31]
Teaching instructors Jennifer Serravallo and Shaun Errichiello watch the video of Chris McClouds math lesson on the surface area of a cylinder. As they watch, they discuss the component parts of Chriss teaching method and style, and they highlight various techniques demonstrated throughout the lesson.
The students will review solid figures using a baggie of assorted snack mix (cones, cubes, cylinders, and spheres) and will begin a vertical bar graph showing the number of each solid figure in a bag of assorted snack mix.
Ms. Whicker uses similar figures, 3D views and cross-sectional views to have her students construct figures using manipulatives.
An interactive applet and associated web page that demonstrate the volume of a cylinder. A cylinder is shown where the height and radius can both be changed by dragging. The volume is continuously recalculated as you drag. The calculations can be turned off for class discussion. The web page has the formula for the volume calculation, and a discussion about the subtle distinction between the volume of a cylinder and the volume inside the cylinder. The web page also has links to other pages defining the various properties of an ellipse and to some ellipse constructions. Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.
Се воведува n-димензионален простор и поим за функција во него. Посебно се проучува 3-димензионалниот простор и графички се прикажуваат елементарните површини во простор. Се дефинира граница и непрекинатост на функција од две независни променливи.
The n-dimensional space and specially, 3-dimensional space is introduced. The most common surfaces in 3-dimensional space are shown. The definitions of a limit and continuity are given.