

Unit 5 Area, Surface Area, and Volume Problems Grade 6 Math 

Unit Length and Description: 25
days In Unit
5, students apply their knowledge of expressions and equations to solve for
unknowns in area, surface area, and volume problems. They find the area of
triangles and other twodimensional figures and use the formulas to find the
volumes of right rectangular prisms with fractional edge lengths. Students
use negative numbers in coordinates as they draw lines and polygons in the
coordinate plane. They also find the lengths of sides of figures, joining
points with the same first coordinate or the same second coordinate and apply
these techniques to solve real‐world and mathematical problems. 

Standards:


Enduring Understandings: ·
Decomposing and rearranging
provide a geometric way of both seeing
that a measurement formula is the right one and seeing why it is the right one. ·
Tools provide new sources of
imagery as well as specific ways of thinking about geometric objects and
processes. ·
Geometry and special sense offer
ways to visualize, to interpret, and to reflect on our physical environment. ·
A net is a plane figure that can
be folded to make a solid figure. ·
Solid figures can be identified
and classified by the number of faces, edges, and vertices. ·
A visual representation of a shape
hierarchy is an efficient way to describe the relationship among shapes with
similar attributes. 
Essential
Questions: ·
What is a real world
application of surface area? ·
How is a net utilized to
represent a 3D figure? ·
How is volume affected by
a change in one dimension? ·
What are the similarities
and differences between area and surface area? ·
What are the properties of
two and three dimensional figures? ·
What is the relationship
between the areas of rectangles and triangles? ·
How is the formula for the
area of a rectangle used to find the volume of a rectangular prism? ·
How is finding the volume
of a rectangular prism similar to finding the volume of a pyramid? ·
How does the change in
height affect the volume or surface area of a prism? · How can you estimate the volume or surface area of a prism or a
pyramid? 

