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MTTC - Elementary Ed

Geometry Concepts

closed, 2-d shapes with at least 3 straight-sides and 3 angles polygons
polygons that are equilateral and equiangular regular polygons
polygons that are the same size and shape congruent shapes
_________ and ______________ measure the distance around a polygon and circle perimeter; circumference
equation to find the perimeter of a square P=4s
equation to find the perimeter of a rectangle P=2(l+w)
equation to find the perimeter of a triangle P=s1+s2+s3
equation to find the perimeter of a polygon P=adding number of sides together
amount of space an object takes up volume
volume of a cube V=s^3
volume of a rectangular prism V=lwh
volume of a cylinder V=pi r^2 x h
volume of a sphere V= 4/3pi r^3
volume of a pyramid V= 1/3Ah A=area of base
volume of a cone V=1/3pi^2 x h
amount of space inside a 2-d shape area
involves counting the number of squares *inside* the shape the squares come from the units on the x and y axis; square=1sq. unit on grid it's not suitable for calculating all areas counting method
measures the area *outside* of a 3-d shape surface area
surface area for a sphere SA=4pi r^2
surface area for a cone SA= pi r^2+pi rs
surface area for a cube SA=6s^2
surface area for a cylinder SA=2pi rh+2pi r^2
surface area for rectangular prism SA=2(lw+wh+hl)
surface area for a square-based pyramid SA=2(l)(s)+l^2
an approach to measuring things using alternative measurements and properties to find desired measurement indirect measurement
a^2+b^2=c^2 pythagorean theorem
a straight bar that keeps going in both directions line
when a line has a beginning and end line segment
when a line has a beginning, but no end ray
xy plane ordered pairs (x,y); the point where it crosses is called x and y intercept Cartesian plane
the 4 divisions of the Cartesian plane starting with the top right and moving counterclockwise quadrants
French philosopher and mathematician that said "I think, therefore I am" Rene Descartes
same shape, different size similar shapes
a category of transformation that does not change the shape/size of the pre-image rigid tranformation
a category of transformation that changes the size but not the shape non-rigid transformation
rotating an object about a fixed point without changing its size/shape rotation
moving an object in space without changing its size, shape, or orientation translation
expanding/contracting an object without changing shape or orientation dilation
flipping an object across a line without changing size/shape reflection
imaginary line that cuts a shape into 2 exact / identical halves line of symmetry
reflection of the image the halves obtained by drawing the line of symmetry reflect each other reflection symmetry
exists around center of axis rotational symmetry
the change in position translation symmetry
the sum of 2 symmetries (reflection and translation) glide symmetry
Created by: jmeeker
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