Vision
Statement:
Mission Statement:
I am a collaborator.
I am a critical thinker.
I am a communicator.
I am a creator.
I am a Falcon.
Focused on
Individual
Success
Grade 6 Math, Unit 5 Overview
Duration 1/27/14 – 2/28/14
(Geometry) Students will be building on their prior knowledge about relationships among shapes to
determine area, surface area, and volume. They will use nets of rectangles and triangles to represent threedimensional figures. Students will apply these techniques to solve real-world and mathematical problems
involving area, surface area, and volume.
Essential Standards (G = geometry)
6.G.1. 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.
6.G.2. 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.
6.G.3. 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.
6.G.4. 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.
Key Academic Vocabulary
polygon, base, height, parallelogram, rhombus, formula, trapezoid, congruent, volume, cubed, base,
height, prism, rectangular prism, net, surface area, triangular prism, pyramid, vertex, base, lateral faces,
slant height
Enduring Understandings
Essential Questions
Area of special polygons can be found by breaking
them into triangles and rectangles.
How can you find the area of a special polygon using previous
knowledge of polygons?
Identify the relationship between a model of a right
rectangular prism and the formula for volume.
What is the relationship between the model and the formula for
volume?
Nets represent the surface area of 3-dimensional
objects.
What is the relationship between the area of a 2-dimensional
figure and the surface area of the same 3-dimensional figure?