Task 5 : Explore Nets and Surface Area Interventions Student cannot find the surface area of a rectangular prism. They will assist each other in completing the task. Fold the strip so that the two unattached length-side ends meet. Misconceptions will be corrected as needed and counter examples provided if necessary. After this I will pose the essential question of the lesson: how can you use a net to find the surface area of a prism? I will show the exit ticket at this point. Review these dimensions now and refer to them throughout the construction process.
Since they had never plotted points before, I didn't want them to sit there doing nothing. Tape the rectangle in place, then repeat with the remaining rectangle. This value is already filled in for you. Each of the printable shape sheets is available either in color or black and white. Then they will sketch nets to determine the surface area of rectangular prisms.
Lightly color so boxes can still be seen the same faces A and D a color, B and E a second color, and finally C and F a third color. All of its angles are right angles. When you have completed the computations, check with the creator of the net to make sure you both have the same value. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems. We have a wide selection of 3d shape sheets to cater for a range of grades and abilities. Circulate through the room and make sure students are not getting frustrated and assist struggling students if needed. They will trade nets and see if classmates determine the same answer.
I let the students work in pairs to complete this project. The surface area of a prism is the area of its net. Then, discuss the following concepts. Look at the prism and determine which surfaces share a common side with this bottom face. I may need to again guide the students with questions like: What shapes are the surfaces? Tape the 6-inch 15-cm sides in place. The students will be able to determine if two rectangular prisms have the same surface area, if the volume is the same.
To illustrate the concept in more concrete terms, you can make a simple model of a rectangular prism using construction paper or cubic blocks. In this lesson, the focus is on nets for rectangular prisms. Provide examples to support your answer. Encourage some of them to use as much of the paper as they can. Then, once the picture was done, it was smooth sailing for them! The sheets can be used as part of a Math display, as flashcards, or as printable coloring sheets.
Represent threefold whole-number products as volumes, e. You'll need to know the required length, width, and height of the desired rectangular prism before you can build it. This should set a height of two blocks cubic units. Encourage them to seek help from the group first, before coming to you. How does that relate to the surface area of a rectangular prism? There should be 12 blocks total. Doing so is not strictly necessary but may make it easier to build the final rectangular prism. If the volume of two or more rectangular prisms is the same, will the surface area be the same? It can only use the 24 blocks you already have.
During the discussion, if there is any disagreement about whether a figure is a net of a cube or a prism, put students in groups to check. As student pairs work together, listen for students who may still have misconceptions so you can address them in the class discussion. Write the information on the chart include the name of the person who made the net. Mathematical Practices Mathematical Practices 5: Use appropriate tools strategically. In the discussion, bring out the fact that although nets for the same rectangular prism can look different, the nets will always have the same number of square units, so the surface area will always be the same. Regardless of which net you use, you will find that the surface area is 176 ft 2. Tell students that a 2-D pattern that folds up to create a 3-D figure is called a net.
All of our printable 3d shape worksheets from the website have been put onto the webpage below. Record findings on your chart. The paper should already stay in place at that point, but taping the remaining two sides will provide greater security. Use one or two pieces of tape to hold these two ends together. Task 9 : Reflect On Your Work. This net is an unfolded rectangular prism. What does the face of the prism that is attached to it look like? If they build each prism using a net drawn on a sheet of paper, they will be able to easily turn it to look at the faces.
Position the two remaining rectangles over the two open ends of the shape. Misconceptions will be corrected as needed and counter examples provided if necessary. Make sure students use that language when discussing the problems. They definitely needed the double brain power! The discussion here should be very general and very brief. Have them use the prior measures and net, to assist in creating this new net.