*SOURCE FILES*

All material is free, freely accessible, and logo-free!

The material is shared by the University of Luxembourg under the Creative Common Licence CC BY NC SA.

Feel free to contact us if you need more details.

The images are provided as pdf files. In case, ask for the tex files to custom the colors or for modifying the images to your liking.

FYI Drawings (we make tikz pictures that output pdf pictures) can be made for example with IPE (https://ipe.otfried.org/) applying ipe2tikz (https://github.com/QBobWatson/ipe2tikz).

The template for our sheets is a simple latex file: if you need it, just ask us.

CONTACT: antonella.perucca@uni.lu

The material is shared by the University of Luxembourg under the Creative Common Licence CC BY NC SA.

Feel free to contact us if you need more details.

The images are provided as pdf files. In case, ask for the tex files to custom the colors or for modifying the images to your liking.

FYI Drawings (we make tikz pictures that output pdf pictures) can be made for example with IPE (https://ipe.otfried.org/) applying ipe2tikz (https://github.com/QBobWatson/ipe2tikz).

The template for our sheets is a simple latex file: if you need it, just ask us.

CONTACT: antonella.perucca@uni.lu

**Lines:**
line,
point,
half-line and initial point,
line segment and two endpoints,
parallel lines,
intersecting lines and point of intersection,
perpendicular lines,
perpendicular and foot of the perpendicular,
perpendicular bisector and midpoint,
half-plane,
plane,
vertical and horizontal.

**Circles:**
circle,
center,
radius,
diameter,
arc,
chord,
secant,
tangent,
disc,
sector,
segment,
semicircle.

**Angles:**
angle,
vertex,
side,
bisector,
acute angle,
right angle,
obtuse angle,
straight angle,
convex angle,
reflex angle,
zero angle,
full angle.

**Angle Pairs:**
vertical angles,
equal angles,
complementary angles,
supplementary angles,
interior angles,
corresponding angles,
alternate interior angles,
alternate exterior angles,
adjacent angles,
linear pair,
interior angle and exterior angle,
inscribed angle and central angle.

**Triangles:**
acute triangle,
right triangle,
obtuse triangle,
height and base,
equilateral triangle,
isosceles triangle,
scalene triangle,
base and leg,
hypotenuse and leg,
opposite leg and adjacent leg,
median,
perpendicular bisector.

**Quadrilaterals:**
square,
rectangle,
rhombus,
parallelogram,
kite,
dart,
antiparallelogram,
irregular quadrilateral,
trapezoid,
two bases and two legs,
isosceles trapezoid,
right-angled trapezoid.

**Polygons:**
convex polygon,
vertex (corner),
side,
diagonal,
regular polygon,
apothem,
concave polygon,
self-intersecting polygon,
tangential polygon,
inscribed circle,
cyclic polygon,
circumscribed circle.

**Solid Geometry:**
cube,
cuboid,
prism,
pyramid,
vertex,
edge,
face,
base,
sphere,
cylinder,
cone,
frustum.

**More Solid Geometry:**
solids,
surface,
volume,
height and width and depth,
poles and meridian and parallel,
antipodal points and great circle and equator,
hemisphere,
torus,
tetrahedron,
octahedron,
dodecahedron,
icosahedron.

**Geometrical transformations:**
translation,
rotation and center of rotation,
angle of rotation and clockwise and counterclockwise,
reflection and axis of reflection,
point symmetry,
same orientation and opposite orientation,
congruent,
similar,
scaling and scaling factor and rescaled,
dilation,
symmetric and axis of symmetry,
asymmetric.

**Shapes:**
heart,
star,
cross,
arrow,
crescent,
ring,
oval,
six-pointed star,
L-shape,
T-shape,
droplet,
quatrefoil.

**Sets:**
set,
element,
subset,
superset,
intersection,
union,
difference,
complement,
disjoint sets,
empty set,
finite set and infinite set,
partition.

**Operations:**
plus sign,
addition,
addend,
sum,
multiplication sign,
multiplication,
factor,
product,
minus sign,
subtraction,
minuend and subtrahend,
difference.

**Division:**
division sign,
division,
dividend and divisor,
fraction,
remainder,
quotient,
ratio,
percentage,
divisibility and 6 divides 18,
divisor and multiple,
double and triple,
tenfold and n-fold.

**Vectors:**
vector,
direction,
equivalent vectors,
negative,
collinear vectors,
unit vector and magnitude,
scalar multiplication and multiple,
sum,
orthogonal vectors,
coordinate system,
coordinate axes,
origin.

**Fractions:**
fraction,
numerator,
fraction bar,
denominator,
reciprocals,
unit fraction,
improper fraction,
apparent fraction,
equivalent fractions,
fraction in lowest terms and reduce a fraction to lowest terms,
expand and simplify,
common denominator and least common denominator.

**Equalities and inequalities:**
greater than,
greater than or equal to,
less than,
less than or equal to,
equality,
equal sign,
inequality,
inequality sign,
equal,
not equal to,
compare,
very large number.

**Percentage:**
fifty percent,
percent sign,
one percent,
one per mille,
parts per million,
percentage change and increase or decrease,
change factor,
interest and interest rate,
percentage points,
basis points,
relative frequency distribution,
share.

**Arithmetic:**
odd numbers and even numbers,
parity,
perfect square and perfect power,
prime numbers,
prime powers,
prime factorization and to factor,
prime factors and divisors,
square-free,
greatest common divisor,
relatively prime numbers,
least common multiple,
numbers bond to ten.

**Polynomials:**
polynomial,
variable,
degree 2 and degree 3 and degree n,
quadratic polynomial and cubic polynomial and polynomial of degree n,
coefficients,
leading coefficient and constant term,
leading term and monic polynomial,
polynomial equation and roots,
square of a binomial,
power of a binomial,
difference of two squares,
completing the square.

**Numbers up to 12:**
one,
two,
three,
four,
five,
six,
seven,
eigth,
nine,
ten,
eleven,
twelve.

**Some numbers with two digits:**
thirteen,
fourteen,
fifteen,
sixteen,
seventeen,
eighteen,
nineteen,
twenty,
thirty,
forty,
fifty,
sixty.

**More integers:**
seventy,
eighty,
ninety,
one hundred,
one thousand,
ten thousand,
one hundred thousand,
one million,
one billion,
one trillion,
zero,
negative one.

**Example of numbers:**
twenty-one,
thirty-two,
forty-three,
fifty-four,
sixty-five,
seventy-six,
eighty-seven,
ninety-eight,
one hundred one,
two hundred forty,
twelve thousand three hundred four,
six billion twelve million two hundred thousand three,
five hundred twelve.

**Fractions:**
one half,
one third,
one fourth,
one fifth,
one sixth,
one seventh,
one eight,
one nineth,
one tenth,
two thirds,
three fourths,
four fifths.

**Digits:**
first digit and last digit,
six-digit number,
decimal point and decimal comma,
integer part and decimal part,
ones,
tens,
hundreds,
thousands,
tenths,
hundredths,
thousandths,
ten-thousandths.

**Number sets:**
integers,
positive integers,
non-negative integers,
negative integers,
real numbers,
number line,
non-negative real numbers and positive real numbers,
non-positive real numbers and negative real numbers,
rational numbers,
irrational numbers,
transcendental numbers,
complex numbers.

**Complex numbers:**
imaginary unit,
complex plane and complex numbers,
real axis,
imaginary axis,
real part and imaginary part,
Cartesian coordinates,
complex conjugate,
absolute value,
argument,
polar coordinates,
complex exponential and complex logarithm,
unit circle.

**Functions:**
function,
domain,
codomain,
range,
image,
preimage,
domain restriction,
composition,
injective,
surjective,
bijective,
inverse.

**Clock:**
analog clock,
clock face,
hour hand and minute hand and second hand,
digital clock,
ten o'clock,
ten fifteen,
ten thirty,
ten forty-five,
ten twenty,
ten thirty-five,
midnight,
noon.

**Clock (Children version):**
digital,
hour hand,
midnight,
minute hand,
noon,
one fifteen,
one fifty and twenty six seconds,
one fifty five,
one fifty,
one five,
one forty five,
one forty,
one o'clock,
one ten,
one thirty five,
one thirty,
one twenty and forty five seconds,
one twenty five,
one twenty,
second hand,
two o'clock.

**Positions:**
above,
among,
attached,
behind,
below,
between,
bottom and left,
bottom and right,
detached,
down,
far,
first,
in front of,
in the center,
inside,
last,
left (1),
left,
near and close,
near and neighboring,
on,
opposite,
outside,
penultimate,
previous and next,
right (1),
right,
second,
third,
top and left,
top and right,
under,
up.