Download File - Ms. K. Owens Mathematics

Analytic Geometry
Vocabulary Cards and Word Walls
Important Notes for Teachers:
 The vocabulary cards in this file reflect the vocabulary students taking
Coordinate Algebra will need to know and be able to use.
 The cards are arranged alphabetically.
 Each card has three sections.
o Section 1 is only the word. This is to be used as a visual aid in
spelling and pronunciation. It is also used when students are writing
their own “kid-friendly” definition and drawing their own graphic.
o Section 2 has the word and a graphic. This graphic is available to be
used as a model by the teacher.
o Section 3 has the word, a graphic, and a definition. This section can be
used for the Word Wall in the classroom.

These cards are designed to help all students with math content vocabulary,
including ELL, Gifted and Talented, Special Education, and Regular
Education students.
Addition Rule
Addition
Rule
Addition
Rule
A method for finding the probability
that two events occur; if the two events
overlap, the probability of the intersection
is added twice, so the intersection needs
to be subtracted to compensate for the
double addition:
(
)
( )
( )
(
)
adjacent angles
adjacent
angles
adjacent
angles
Angles in the same plane that have a
common vertex and a common side,
but no common interior points
adjacent side
adjacent
side
adjacent
side
In a right triangle, for each acute angle
in the interior of the triangle, one ray
forming the acute angle contains one of
the legs of the triangle and the other
ray contains the hypotenuse. This leg
on one ray forming the angle is called
the adjacent side of the acute angle.
alternate exterior
angles
alternate
exterior angles
alternate
exterior
angles
Alternate exterior angles are pairs of
angles formed when a third line (a
transversal) crosses two other lines.
These angles are on opposite sides of
the transversal and are outside the
other two lines. When the two other
lines are parallel, the alternate exterior
angles are equal.
alternate interior
angles
alternate
interior angles
alternate
interior angles
Alternate interior angles are pairs of
angles formed when a third line (a
transversal) crosses two other lines.
These angles are on opposite sides of
the transversal and are in between the
other two lines. When the two other
lines are parallel, the alternate interior
angles are equal.
angle
angle
angle
Angles are created by two distinct rays
that share a common endpoint (also
known as a vertex). ABC or B
denote angles with vertex B.
angle of depression
angle of
depression
angle of
depression
The angle below horizontal that an
observer must look to see an object that
is lower than the observer. Note: The
angle of depression is congruent to the
angle of elevation.
angle of elevation
angle of
elevation
angle of
elevation
The angle above horizontal that an
observer must look to see an object that is
higher than the observer.
Note: The angle of elevation is congruent
to the angle of depression.
arc
arc
arc
An unbroken part of a circle
 Minor arcs have a measure less
than 180o.
 Semi-circles are arcs that measure
exactly 180o.
 Major arcs have a measure greater
than 180o.
arc length
arc length
arc length
A portion of the
circumference of the circle
arc measure
arc
measure
arc
measure
The angle that an arc makes
at the center of the circle
of which it is a part
binomial expression
binomial
expression
binomial
expression
An algebraic expression
with two unlike terms
bisector
bisector
bisector
A bisector divides a segment or angle
into two equal parts
Cavalieri’s Principle
Cavalieri’s
Principle
Cavalieri’s
Principle
A method of finding the volume of
any solid for which cross-sections by
parallel planes have equal areas.
center
(of a circle)
center
(of a circle)
center
(of a circle)
The point inside the circle that
is the same distance from
all of the points on the circle
central angle
central
angle
central
angle
Angle Vertex
at Center of Circle
An angle whose vertex is
at the center of a circle and whose
sides are radii of the circle
centroid
centroid
centroid
The point of concurrency of
the medians of a triangle
chord
chord
chord
A segment whose endpoints
are on a circle
circle
circle
circle
A plane figure with all points
the same distance from
a fixed point called a center
(
Standard form:
)
(
)
circumcenter
circumcenter
circumcenter
The point of concurrency
of the perpendicular bisectors
of the sides of a triangle
circumscribed circle
circumscribed
circle
circumscribed
circle
A circle containing
an inscribed polygon
coincidental
coincidental
coincidental
Two equivalent linear equations
overlap when graphed.
complement
complement
complement
Given a set A, the complement
of A, denoted ̅ or , is the set
of elements that are not
members of A.
complementary angles
complementary
angles
complementary
angles
Two angles whose sum is 90°
are called complementary.
Each angle is called the
complement of the other.
complete factorization
complete
factorization
complete
factorization
Writing a polynomial as a product
of other polynomials that cannot
be factored any further
completing the square
completing
the square
completing
the square
Add 2 to
complete the
square.
Completing the square is
the process of converting
a quadratic equation into
a perfect square trinomial
by adding or subtracting
terms on both sides.
complex conjugate
complex
conjugate
complex
conjugate
A pair of complex numbers, both
having the same real part, but with
imaginary parts of equal magnitude
and opposite signs
For example, 3 + 4i and 3 − 4i are
complex conjugates.
complex number
complex
number
complex
number
A complex number is the sum
of a real number and an
imaginary number
a + bi
where a and b are real numbers
and i is the imaginary unit,
satisfying i2 = −1.
composite figures
composite
figures
composite
figures
A figure made from
two or more
geometric figures
conditional
probability
conditional
probability
conditional
probability
The probability of an event given that
another event has already occurred;
Notation:
The formula for a conditional probability
is
congruent
congruent
congruent
Having the same size, shape and
measure; two figures are congruent if
all of their corresponding measures are
equal.
conic section
conic
section
conic
section
A figure formed by the intersection of
a plane and a right circular cone;
depending on the angle of the plane
with respect to the cone, a conic
section may be a circle, an ellipse, a
parabola, or a hyperbola
corresponding angles
corresponding
angles
corresponding
angles
Angles that have the same
relative positions in
geometric figures
corresponding sides
corresponding
sides
corresponding
sides
Sides that have the same relative
positions in geometric figures
dependent events
dependent
events
dependent
events
Two or more events in which the
outcome of one event affects the
outcome of the other event or events
diameter
diameter
diameter
The distance across a circle
through its center; the line
segment that includes the
center and whose endpoints
lie on the circle
difference of squares
difference
of squares
difference
of squares
A perfect square subtract
another perfect square
For example:
dilation
dilation
dilation
Transformation
that changes the
size of a figure, but
not the shape
discriminant
discriminant
discriminant
The discriminant of a
quadratic equation of the form
ax2 + bx+ c = 0, a  0,
is the number b2 – 4ac
element
element
element
A member or item
in a set
endpoints
endpoints
endpoints
The points at an end
of a line segment
equiangular
equiangular
equiangular
The property of a
polygon whose
angles are all
congruent
equilateral
equilateral
equilateral
The property
of a polygon
whose sides
are all
congruent.
exponential function
exponential
function
exponential
function
A function of the form
y = a·bx
where a > 0 and
either 0 < b < 1 or b > 1.
expression
expression
expression
A mathematical
phrase involving at
least one variable
and sometimes
numbers and
operation symbols
exterior angle
of a polygon
exterior angles
of a polygon
exterior angles
of a polygon
An angle that forms
a linear pair with
one of the angles
of the polygon
focus of a parabola
focus of a
parabola
focus of a
parabola
Every point on a
parabola is
equidistant from a
fixed point (called
the focus) and a
fixed line (called the
directrix)
general form
(of equation of a circle)
general
form
(of equation of a circle)
general
form
(of equation of a circle)
Found by expanding the
standard form of the
equation of a circle:
 square the two
binomials
 combine like terms and
 set the equation equal
to zero
horizontal shift
horizontal
shift
horizontal
shift
A rigid transformation
of a graph in a
horizontal direction,
either left or right
incenter
incenter
incenter
The point of concurrency of
the bisectors of the angles
of a triangle
independent events
independent
events
independent
events
Events whose
outcomes do not
influence each other
inscribed
inscribed
inscribed
An inscribed planar shape
or solid is one that is
enclosed by and "fits
snugly" inside another
geometric shape or solid.
inscribed angle
inscribed
angle
inscribed
angle
An angle whose vertex
is on the circle and
whose sides contain
chords of a circle
inscribed circle
inscribed
circle
inscribed
circle
A circle enclosed in a
polygon, where every side of
the polygon is a tangent to
the circle; specifically for
this unit the polygon will be
a triangle and so the center
of the inscribed circle is the
incenter of the triangle
inscribed polygon
inscribed
polygon
inscribed
polygon
A polygon is inscribed
in a circle if and only if
each of its vertices lie
on the circle.
intersecting lines
intersecting
lines
intersecting
lines
Two lines in a plane
that cross each other.
Unless two lines are
coincidental, parallel, or
skew, they will intersect
at one point.
intersection
intersection
intersection
The point at which
two or more lines
intersect or cross
intersection of sets
intersection
of sets
intersection
of sets
The set of all elements
contained in all of the
given sets
Notation:
lateral area
lateral
area
lateral
area
The sum of the areas of
the lateral faces of a
cylinder, cone, etc.
line
line
One of the basic
undefined terms of geometry
line
Traditionally thought of as a set of
points that has no thickness but its
length goes on forever in two opposite
directions.
line segment
line segment
line segment
The part of a line
between two points on
the line. ̅̅̅̅ denotes a
line segment between
the points A and B.
linear pair
linear pair
linear pair
Adjacent,
supplementary angles;
excluding their
common side, a linear
pair forms a straight
line.