First, take a look at the great lesson plans available on NYSCI's website. Beyond that, you could use Volumize as an intro to, or stand-in for, the classic "build your own 3-D model and calculate its surface area" project (or a favorite twist on that one: Build a piñata!). It could also be a lovely advance organizer or the inquiry section of a classroom lesson on solids.
You could simply make Volumize part of a stable of math play activities, for filler days between lessons or after standardized testing times. Chemistry, physical-science, or digital-creation teachers can use it for a variety of purposes too (it's a great intro to 3-D modeling). Any place you can see using virtual models with handy calculations will be instantly accessible with Volumize.Continue reading Show less
Volumize is an app that allows students to import photos from their iPads (using the built-in cameras or any other file in their library) and then draw virtual 3-D geometric solids over the photo to roughly approximate its form. They can adjust the interface's measurement scale to accurately reflect real-world measurements, making this more than just a virtualization tool –- it's a powerful 3-D ruler, too. The app then automatically calculates the area and surface area, showing the steps and pieces of those calculations and a net of each solid. For compound shapes, it does all the combination work for you.
To take things a bit further, students and teachers can use the built-in planning, reporting, and reflecting tools to add text and other imagery to templates, which can then be sent to the teacher or classmates.
Volumize can get kids hooked on noticing solids in the real world, and for that it's a great tool for learning. It's part of the New York Hall of Science's "Noticing Tools" suite of apps, aimed at getting students to find math and science connections in their everyday lives using pseudo-augmented reality. It's learning goal seems to be making otherwise abstract geometric figures more real, and in that it succeeds. This is open-play discovery learning, and kids will make their own meaning about relationships between solids.
For more concrete, procedural work such as the proper use of formulas, you'll need to supplement with outside class time or resources. Everything is calculated for you here, which is great for inquiry but not great for skills practice.
Key Standards Supported
Geometric Measurement And Dimension
Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. Use dissection arguments, Cavalieri’s principle, and informal limit arguments.
(+) Give an informal argument using Cavalieri’s principle for the formulas for the volume of a sphere and other solid figures.
Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.
Identify the shapes of two-dimensional cross-sections of three- dimensional objects, and identify three-dimensional objects generated by rotations of two-dimensional objects.
Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.
Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = l w h and V = b h to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems.
Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving real-world and mathematical problems.
Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems.
Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.
Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure.
Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.
Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.
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