Mathematics » Grade 6 » Geometry
Solve real-world and mathematical problems involving area, surface area, and volume.
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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.
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.
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.
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.
Knowledge
Identify triangles,
rectangles, quadrilaterals,
polygons, and right
rectangular prisms
Explain composing and
decomposing of figures
using rectangles, triangles,
and other shapes
Define coordinate plane,
volume, vertex, coordinate,
and net
Reasoning
Compare volume of right
rectangular prisms found
using unit cubes to volume
found by multiplying edge
lengths
Apply volume formulas V =
l x w x h and V = b x h to
find volume of right
rectangular prisms
Skill
Calculate the area of
polygons by composition or
decomposition
Products
Draw polygons in
coordinate plane given
coordinates for vertices.
Use coordinates to find
polygon side lengths of
points with same first
coordinate or second
coordinate
Represent 3-D figures
using nets made of
triangles and rectangles.
Use nets to find surface
areas of 3-D figures.
Geometry Student Friendly Learning Targets
1. I can identify triangles, rectangles, quadrilaterals, polygons, and right rectangular prisms.
2. I can explain composing figures using rectangles, triangles, and other shapes. This means I can combine
figures to create a rectangle, triangle, or other shape.
3. I can explain decomposing figures into rectangles, triangles, and other shapes. This means I can break a
figure down into triangles, rectangles, or other shapes.
4. I can define coordinate, coordinate plane, vertex, volume, and net.
5. I can compare a right rectangular prism’s volume found by using unit cubes, to its volume found by multiplying
edge lengths.
6. I can apply formulas for finding volume (V = l x w x h and V = b x h) to right rectangular prisms.
7. I can calculate the area of a polygon using composition or decomposition. This means I can find the area by
either combining polygons to make a simpler shape, or breaking the polygon down into simpler shapes.
8. I can find the side length of a polygon on a coordinate grid that has either the same first coordinate or same
second coordinate.
9. I can use nets to find the surface area of 3-D figures.
10.I can draw polygons on a coordinate plane when given the vertices coordinates.
11.I can represent 3-D figures using nets made of triangles and rectangles.