Reasoning to Find Area
What are the two strategies to find area of a shaded region?
Decompose and Rearrange
Enclose
The height is _____ to the base.
perpendicular
A polygon is
a) closed
b) two-dimensional
c) not curved
d)a figure with straight sides
e) all of the above
e) all of the above
What is a face?
The flat side of a polyhedron
When finding volume, what kind of units do you use? (__________ units)
cubic
Area is the number of square units that cover a region without ________ or _______.
gaps; overlaps
Parallelograms have ______ sides.
four
Can a star be a polygon?
Yes IF none of the sides cross
How many faces does a rectangular prism have?
6
When finding area, what kind of units do you use? (______ units)
square
Two _______ make a square or parallelogram.
triangles
Trapezoids are made up of two shapes. What are they?
squares and triangles
A vertex is a point where 2 or more edges ________.
meet
Pyramids have _____ base. All the other faces are triangles that meet at a single vertex. (Hint: It's a number!)
1
What is the formula for area of a cube?
s2
Enclosing means to put a shape inside of a _________.
square or rectangle
Heights go through the ___________ from the base.
opposite vertex
What is the formula for the area of a triangle?
1/2 x b x h
Prism have _____ bases that are identical and parallel. (Hint: it's a number!)
2
What is the formula for the volume of a cube?
s3
Decomposing and rearranging means
to take off part of one shape and put it to a different part
What are two ways you can find the area of a parallelogram?
Decomposing and rearranging
Enclosing
Why is the area of a triangle 1/2 x b x h?
This is the area of a triangle because a triangle is half of a parallelogram.
What is surface area
The number of square units that covers all of its faces with no gaps or overlaps
What is the formula for the surface area of a cube?
s2 x 6