Math For Elem. Teachers

Front 1

simple closed curve

Back 1

a curve that can be traced w/ the same starting and stopping point and w/ out crossing or retracing any part of the curve

Front 2

polygon

Back 2

simple closed curve composed of line segments

Front 3

regular polygon

Back 3

all sides are congruent and all interior angles are congruent

Front 4

3 sided regular polygon

Back 4

equilateral triangle

Front 5

4 sided regular polygon

Back 5

square

Front 6

5 sided reg. polygon

Back 6

pentagon

Front 7

6 sided reg. polygon

Back 7

hexagon

Front 8

7 sided reg. polygon

Back 8

septagon

Front 9

8 sided reg. polygon

Back 9

octagon

Front 10

9 sided reg. polygon

Back 10

nonagon

Front 11

10 sided reg. polygon

Back 11

decagon

Front 12

convex

Back 12

a shape is convex if a line segment joining any 2 points inside the figure lies completely inside the figure

Front 13

what types of shapes are all convex (as a group)

Back 13

regular polygons

Front 14

concave

Back 14

if it is not convex, it is concave. a line segment joining all 2 points will not lie completely in the figure

Front 15

vertex/interior angle

Back 15

formed by 2 consecutive sides

Front 16

central angle

Back 16

formed by the segments connecting consecutive vertices to the center of the regular n-gon

Front 17

exterior angle

Back 17

formed by one side together with an extensions of an adjacent side of the regular n-gon

Front 18

circle

Back 18

set of all points in the plane that are a fixed distance from a given point (called the center)

Front 19

radius

Back 19

distance from the center to a point on the circle

Front 20

diameter

Back 20

distance from a point on the circle through the center to another point on the circle

Front 21

chord

Back 21

from one point on the circle to another point, not through the center point

Front 22

plane

Back 22

infinitely large, flat surface with at least 3 points

Front 23

points

Back 23

locations on the plane

Front 24

line

Back 24

occurs when you extend a line segment infinitely in both directions, at least 2 points

Front 25

collinear points

Back 25

points that lie on the same line

Front 26

parallel lines

Back 26

2 non-intersecting lines that lie in the same plane. A line is parallel to itself. equidistant to each other at any point

Front 27

concurrent lines

Back 27

3 or more lines that contain the same point

Front 28

distance

Back 28

the non-negative difference of a real number that corresponds to the given points

Front 29

coordinates

Back 29

the real numbers that correspond to any given points

Front 30

between

Back 30

a point "p" is in between point "a" &"b" when a & b are on either side of point p

Front 31

line segment

Back 31

consists of all points on the line, including endpoints

Front 32

endpoints

Back 32

points a&b are the endpoints of
___
AB

Front 33

length

Back 33

the length of a line segment is the distance b/w its endpoints

Front 34

midpoint

Back 34

the point on the line segment that is equidistant from end points

Front 35

equidistant

Back 35

having the same distance

Front 36

ray

Back 36

ray AB consists of all points on the line on the same side as B, together w/ the endpoint A. The result of extending a line segment indefinitely in one direction

Front 37

angle

Back 37

union of 2 line segments (or rays) w/ a common end point

Front 38

vertex

Back 38

the common endpoint of the union of 2 line segments or rays

Front 39

sides

Back 39

the line segments or rays that make up the angle are called its sides

Front 40

interior angle

Back 40

all the points in the plane b/w the 2 line segments or rays that make up the angle. (if 2 rays form a line, then the angle has no interior)

Front 41

exterior angle

Back 41

all the points in the plane that are not in the angle or its interior

Front 42

adjacent angles

Back 42

2 angles that share a vertex & have a common side, but whose interiors do not intersect

Front 43

straight angle

Back 43

180 degrees

Front 44

reflex angle

Back 44

more than 180 degrees

Front 45

vertex angle

Back 45

opposite each other & formed by a pair of intersecting lines

Front 46

supplementary angles

Back 46

2 angles that add up to 180 degrees

Front 47

perpendicular

Back 47

2 lines that intersect to form a right angle are called perpendicular

Front 48

complementary angles

Back 48

2 angles that add up to 90 degrees

Front 49

transversal

Back 49

if 2 lines are intersected by a third line we call the third line a transversal

Front 50

corresponding angles

Back 50

angles that are in the same relative location. 2 lines are said to be parallel if their corresponding angles are congruent

Front 51

alternate interior angles

Back 51

non adjacent angles whose union contains that region b/w the 2 given lines. 2 lines are parallel if their alternate interior angles are congruent

Front 52

the measure of each central angle of a regular polygon is

Back 52

360

Front 53

formula for finding measure of vertex angles of a reg. n-gon

Back 53

(n-2)(180)
________
n

Front 54

exterior angle formula for regular n-gon

Back 54

360
___
n

Front 55

vertex + interior angles=

Back 55

180

Front 56

to find the sum of the measures of the vertex angles

Back 56

(n-2)(180)=x

Front 57

tessellation

Back 57

an arrangement of polygonal regions having only sides in common that completely covers the plane

Front 58

only these these n-gons can form a tessellation by itself

Back 58

3-gon, 4-gon & 6-gon

Front 59

dihedral angle

Back 59

angle formed by polygonal regions

Front 60

skew lines

Back 60

non-intersecting, nonparallel lines on different planes

Front 61

3 possible relationships of 2 lines

Back 61

1-intersecting
2-parallel
3-skew lines

Front 62

polyhedron-

Back 62

a solid figure consisting of four or more plane faces (all polygons), pairs of which meet along an edge, three or more edges meeting at a vertex. In a regular polyhedron all the faces are identical regular polygons making equal angles with each other.

Front 63

in a polyhedra, polygonal regions are called

Back 63

faces

Front 64

in a polyhedra, line segments are called

Back 64

edges

Front 65

in a polyhedra, points of intersection are called

Back 65

vertices

Front 66

prism, polyhedra

Back 66

2 identical polygons, called bases, as faces that are in parallel planes. the remaining faces that connect the bases are parallelograms

Front 67

pyramid, polyhedra

Back 67

polygon for the base & a point not in the plane of the base called the APEX that is connected w/ line segments to each vertex of the base

Front 68

regular polyhedra (aka ____ ____)

Back 68

all faces are identical, regular polygonal regions & all dihedral angles have the same measure.

platonic solids

Front 69

Pattern for platonic solids

Back 69

Faces + vertices = edges +2

Front 70

cylinder

Back 70

union of line segments that join corresponding points of identical simple closed curves in parallel planes. simple closed curves are oriented the same way their interiors are also included

Front 71

cone

Back 71

union of the interior of a simple closed curve & all the line segments joining points of the curve to a point, called the APEX that is not in the plane of the curve

Front 72

sphere

Back 72

set of all points in 3-d space that are the same distance from a fixed point called the center

Front 73

van hiele level 0

Back 73

recognition

Front 74

van hiele level 1

Back 74

analysis

Front 75

van hiele level 2

Back 75

relationships

Front 76

van hiele level 3

Back 76

deduction

Front 77

van hiele level 4

Back 77

axiomatics

Front 78

formula for exterior angles

Back 78

360
____
n

Front 79

formula for central angles

Back 79

360
___
n

Front 80

formula for vertex angles

Back 80

(n-2)(180)
_______
n

Front 81

parallelogram

Back 81

quadrilateral with 2 pairs of parallel sides

Front 82

rhombus

Back 82

quadrilateral with four sides of the same length

Front 83

kite

Back 83

quadrilateral with 2 non-overlapping pairs of adjacent sides that are the same length

Front 84

trapezoid

Back 84

quadrilateral with exactly one pair of parallel sides

Front 85

isosceles trapezoid

Back 85

quadrilateral with exactly one pair of parallel sides and the remaining two sides have the same length

Front 86

quadrilateral

Back 86

polygon with 4 sides

Front 87

reflection symmetry

Back 87

when you can fold a shape and one side lays exactly on top of the other

Front 88

axis of symmetry

Back 88

where you fold a shape to prove it has reflection symm.

Front 89

rotation symmetry

Back 89

when you can rotate the shape and it looks the same as it does at 360 degrees. all have 360 degree rot. symm.

Front 90

you can have an oblique.... ____ ____ _____ ____

Back 90

prism, pyramid, cylinder, cone

Front 91

if it's not oblique it is

Back 91

right

Front 92

visually, an oblique shape is

Back 92

tilted