| Page |
Content |
| Parent Letter |
Dear Family,
The next unit in your child's course of study in mathematics class this year
is Filling and Wrapping
Sincerely
Mr. John Hampshire
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| Topics |
Topics:
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Explore surface
area and volume of objects, especially rectangular
prisms, cylinders, cones, and spheres.The unit
should help students to
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Understand volume as a measure of filling an
object and surface area as a measure of
wrapping an object
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Design and use nets to visualize and calculate
surface areas of prisms and cylinders
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Explore patterns among the volumes of
cylinders, cones, and spheres
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Develop strategies for finding the volumes of
square pyramids, prisms, cylinders, cones, and
spheres directly and by comparison with known
volumes
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Understand that three-dimensional figures may
have the same volume but quite different
surface areas
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Understand how changes in one or more
dimensions of a rectangular prism or cylinder
affects the prism’s volume and surface area
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Extend students’ understanding of similarity
and scale factors to three-dimensional figures
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Use surface area and volume to solve a variety
of real-world problems
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| Big Ideas |
Big Ideas:
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Interpreting volume as the
number of unit cubes that fill
a 3-dimensional figure
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Interpreting surface area as
the number of square units
that cover or wrap the
exterior of a 3-dimensional
figure
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Developing strategies for
finding and comparing
volumes and surface areas
of different 3-dimensional
figures
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Studying the relationships
among the dimensions,
surface area, and volume of
prisms and cylinders
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Developing strategies and
algorithms for finding the
surface area and volume of
prisms and cones, and the
volume of cones and spheres
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Studying the effects of
applying scale factor to the
dimensions of a prism to its
volume and surface area
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| Mathematics |
Mathematics:
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In Filling and Wrapping, students explore the
surface areas and volumes of rectangular prisms
and cylinders in depth.
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They look informally at
how changing the scale of a box affects its surface
area and volume.
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They also informally investigate
other solids—including cones, spheres, and square
pyramids—to develop volume relationships.
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| Tips |
Tips:
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Be sure to read the Mathematical Highlights on page 4. They give you a
preview of the activities and problems.
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As you go through the unit, be thinking about your Unit Project on page
5.
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| Games |
Games:
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| Resources |
Additional Resources:
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