Inchies created frames using 5x5 inchies and smaller frames with 16 inchies each. A total of 7 picture frames were made along with 3 smaller ones. The artwork will be sold to support a good cause.
Crop circles first appeared in the 1980s in farmers' fields in the UK and reports of them spread over the following decade across the world. The patterns were often geometric and complex, leading to theories that they were created by aliens, though they were likely human-made. Students used GeoGebra to model dynamic crop circles, though some geometries were too complex to create dynamically. Their files were uploaded to a GeoGebra project page on crop circles.
This document appears to be a summary of responses from participants in an educational project involving math, geometry, and art created using GeoGebra. Based on multiple choice questions, participants expressed that they enjoyed activities combining geometry and art like the "Geo carpet" and geometric animations. They felt it helped students who struggle with math and that they would like to implement similar projects in their own classrooms.
Christmas in Italy has many traditions and symbols with ancient origins. Families decorate Christmas trees together and Santa leaves presents on Christmas night. Another tradition is the nativity scene, which depicts the birth of Jesus with figures like Mary, Joseph, the magi, and animals. On December 26th, people visit local nativity scenes and make donations. Christmas lunch on the 25th emphasizes family, food, and affection with rich, quality meals including roast meats and stuffed pastas. The Epiphany on January 6th is dedicated to children, as the Befana visits and fills their socks with sweets or coal depending on their behavior.
Inchies created frames using 5x5 inchies and smaller frames with 16 inchies each. A total of 7 picture frames were made along with 3 smaller ones. The artwork will be sold to support a good cause.
Crop circles first appeared in the 1980s in farmers' fields in the UK and reports of them spread over the following decade across the world. The patterns were often geometric and complex, leading to theories that they were created by aliens, though they were likely human-made. Students used GeoGebra to model dynamic crop circles, though some geometries were too complex to create dynamically. Their files were uploaded to a GeoGebra project page on crop circles.
This document appears to be a summary of responses from participants in an educational project involving math, geometry, and art created using GeoGebra. Based on multiple choice questions, participants expressed that they enjoyed activities combining geometry and art like the "Geo carpet" and geometric animations. They felt it helped students who struggle with math and that they would like to implement similar projects in their own classrooms.
Christmas in Italy has many traditions and symbols with ancient origins. Families decorate Christmas trees together and Santa leaves presents on Christmas night. Another tradition is the nativity scene, which depicts the birth of Jesus with figures like Mary, Joseph, the magi, and animals. On December 26th, people visit local nativity scenes and make donations. Christmas lunch on the 25th emphasizes family, food, and affection with rich, quality meals including roast meats and stuffed pastas. The Epiphany on January 6th is dedicated to children, as the Befana visits and fills their socks with sweets or coal depending on their behavior.
The document discusses the benefits of exercise for mental health. Regular physical activity can help reduce anxiety and depression and improve mood and cognitive functioning. Exercise causes chemical changes in the brain that may help boost feelings of calmness, happiness and focus.
The document discusses the benefits of exercise for mental health. Regular physical activity can help reduce anxiety and depression and improve mood and cognitive function. Exercise causes chemical changes in the brain that may help protect against mental illness and improve symptoms for those who already suffer from conditions like anxiety and depression.
The Advent calendar has 24 doors that open each day from December 1st to 24th, with a surprise behind each door in preparation for Christmas. The Christmas tree in Dortmund, Germany is the tallest in the world at 45 meters high and weighs 40,000 kg, with 1700 spruces. Most people decorate their Christmas trees with colorful ornaments like loops, stars, and candles that have been a tradition for 500 years. In Germany, popular Christmas foods include goose, sausages with potatoes and tomatoes, and roast pork.
1. The document provides instructions for 6 encryption tasks: preparing a message for encryption, encrypting a message with Caesar cipher using a shift of 3, decrypting a message encrypted with Caesar cipher of unknown shift, finding a hidden message in text about cryptology, decoding a word using a reordered list of items, and encrypting a message with a one-time pad cipher using a key related to a European educational project.
2. It explains that Caesar cipher replaces each letter with one 3 positions further in the alphabet and gives an example of decrypting a message using a table of all possible shifts.
3. It also explains that steganography hides the very existence of a message and one-time pad cipher is
Breakfast habits vary widely across Europe. In some countries like Spain and Portugal, people tend to eat a light breakfast of coffee or tea with a pastry or toast. However, in places such as Germany and the Nordic nations, breakfast is a hearty meal that might include eggs, cold cuts, cheese, and various breads. Teachers in Europe are evaluated in different ways depending on the country, but student performance is often an important factor along with classroom observations by other teachers or school administrators.
The document contains introductions from several students between 11-12 years old describing their typical school breakfasts. Most of the students have healthy options like fruit, bread, cheese and juice. Some mention occasionally having sweets like waffles or glucose. The breakfasts aim to provide nutrition to help the students concentrate at school.
This document surveys students about their breakfast habits. It finds that most students (40) always have breakfast before school, with the majority (25) taking 15 minutes to eat. The most popular drinks are tea (16) and water (5). Common breakfast foods include butter (20), ham (22), and cornflakes (12). Most students (35) always have a second breakfast at school, usually a sandwich prepared at home (24). Many students' (24) morning school habits vary daily. Most drink water (6) or tea (10) at school. Most students (28) find breakfast at school to be tasty.
Michałowo is a small town in east Poland with a population of 3,107 people located 40 kilometers from Białystok. The town has a Roman Catholic church from 1909, an Orthodox church from 1907, a primary school with 350 students and 45 teachers, and a swimming pool next to the primary school.
This document discusses cryptography and art, providing an encoded message using the letter numbers from the English alphabet (A=65, B=66 etc.) to spell out a Christmas greeting, the initials A.M.E., and a link to an online example combining cryptography and art using Geogebra.
Only certain stars can be created by folding a square and cutting off a tip, specifically a four-pointed, six-pointed, or eight-pointed star. The document instructs students to first imagine which stars can be made this way, then try it out using origami paper squares to see if they can create the star they envisioned. Additionally, the document describes creating six or eight-pointed stars through stitch art by wrapping colored thread in patterns, and demonstrates how GeoGebra can be used to generate different star shapes programmatically.
Polygon art and golden ratio inspired by Piet mondrianMonika Schwarze
The document outlines a cross-curricular lesson plan combining math and visual arts for 5th grade students. The lesson introduces students to the Golden Ratio and Fibonacci sequence by having them play with patterns. It then shows how to draw the Golden Ratio and how Piet Mondrian used it in his artworks. Students create their own Mondrian-inspired artwork by cutting polygons in a Golden Ratio format and arranging them with lines on a sheet. The lesson aims to teach the concepts of the Golden Ratio and Fibonacci sequence and how to apply them in structuring artwork.
Students in grades 5 and 6 participated in an afternoon math and art club where they used GeoGebra to explore geometric concepts. Each student carved a pentagon into triangles in a unique way, then used a tool to construct the inner circles and calculate the sum of the radii. To their surprise, every student found that the sum was the same number (3.88), despite the different triangle arrangements within the pentagons. The students then colored their designs and combined them into a single artwork, discovering that the theorem about the constant sum of radii holds true for any polygon with more than 3 points.
The document summarizes the ICT World 2017 annual eTwinning conference in Warsaw 2018. The conference discussed an Erasmus+ project from 2016-2019 called ICT World that aims to introduce computer science concepts like imaging, coding, and simulation to students in a motivating way. The project involves partner schools collaborating by communicating via email and a twinspace platform, completing common and competitive tasks, and exchanging teaching ideas to improve students' ICT skills, languages, social skills, and sense of European identity.
This document provides a technical vocabulary list of common tools, machines, hardware materials, mechanical parts, and electronic terms used in technical work. The list includes tools like wrenches, screwdrivers, and pliers, machines like belt sanders, and electronic components such as batteries, amplifiers, power, and ground. The document encourages adding to the vocabulary to expand knowledge of technical terms.
The document discusses the benefits of exercise for mental health. Regular physical activity can help reduce anxiety and depression and improve mood and cognitive functioning. Exercise causes chemical changes in the brain that may help boost feelings of calmness, happiness and focus.
The document discusses the benefits of exercise for mental health. Regular physical activity can help reduce anxiety and depression and improve mood and cognitive function. Exercise causes chemical changes in the brain that may help protect against mental illness and improve symptoms for those who already suffer from conditions like anxiety and depression.
The Advent calendar has 24 doors that open each day from December 1st to 24th, with a surprise behind each door in preparation for Christmas. The Christmas tree in Dortmund, Germany is the tallest in the world at 45 meters high and weighs 40,000 kg, with 1700 spruces. Most people decorate their Christmas trees with colorful ornaments like loops, stars, and candles that have been a tradition for 500 years. In Germany, popular Christmas foods include goose, sausages with potatoes and tomatoes, and roast pork.
1. The document provides instructions for 6 encryption tasks: preparing a message for encryption, encrypting a message with Caesar cipher using a shift of 3, decrypting a message encrypted with Caesar cipher of unknown shift, finding a hidden message in text about cryptology, decoding a word using a reordered list of items, and encrypting a message with a one-time pad cipher using a key related to a European educational project.
2. It explains that Caesar cipher replaces each letter with one 3 positions further in the alphabet and gives an example of decrypting a message using a table of all possible shifts.
3. It also explains that steganography hides the very existence of a message and one-time pad cipher is
Breakfast habits vary widely across Europe. In some countries like Spain and Portugal, people tend to eat a light breakfast of coffee or tea with a pastry or toast. However, in places such as Germany and the Nordic nations, breakfast is a hearty meal that might include eggs, cold cuts, cheese, and various breads. Teachers in Europe are evaluated in different ways depending on the country, but student performance is often an important factor along with classroom observations by other teachers or school administrators.
The document contains introductions from several students between 11-12 years old describing their typical school breakfasts. Most of the students have healthy options like fruit, bread, cheese and juice. Some mention occasionally having sweets like waffles or glucose. The breakfasts aim to provide nutrition to help the students concentrate at school.
This document surveys students about their breakfast habits. It finds that most students (40) always have breakfast before school, with the majority (25) taking 15 minutes to eat. The most popular drinks are tea (16) and water (5). Common breakfast foods include butter (20), ham (22), and cornflakes (12). Most students (35) always have a second breakfast at school, usually a sandwich prepared at home (24). Many students' (24) morning school habits vary daily. Most drink water (6) or tea (10) at school. Most students (28) find breakfast at school to be tasty.
Michałowo is a small town in east Poland with a population of 3,107 people located 40 kilometers from Białystok. The town has a Roman Catholic church from 1909, an Orthodox church from 1907, a primary school with 350 students and 45 teachers, and a swimming pool next to the primary school.
This document discusses cryptography and art, providing an encoded message using the letter numbers from the English alphabet (A=65, B=66 etc.) to spell out a Christmas greeting, the initials A.M.E., and a link to an online example combining cryptography and art using Geogebra.
Only certain stars can be created by folding a square and cutting off a tip, specifically a four-pointed, six-pointed, or eight-pointed star. The document instructs students to first imagine which stars can be made this way, then try it out using origami paper squares to see if they can create the star they envisioned. Additionally, the document describes creating six or eight-pointed stars through stitch art by wrapping colored thread in patterns, and demonstrates how GeoGebra can be used to generate different star shapes programmatically.
Polygon art and golden ratio inspired by Piet mondrianMonika Schwarze
The document outlines a cross-curricular lesson plan combining math and visual arts for 5th grade students. The lesson introduces students to the Golden Ratio and Fibonacci sequence by having them play with patterns. It then shows how to draw the Golden Ratio and how Piet Mondrian used it in his artworks. Students create their own Mondrian-inspired artwork by cutting polygons in a Golden Ratio format and arranging them with lines on a sheet. The lesson aims to teach the concepts of the Golden Ratio and Fibonacci sequence and how to apply them in structuring artwork.
Students in grades 5 and 6 participated in an afternoon math and art club where they used GeoGebra to explore geometric concepts. Each student carved a pentagon into triangles in a unique way, then used a tool to construct the inner circles and calculate the sum of the radii. To their surprise, every student found that the sum was the same number (3.88), despite the different triangle arrangements within the pentagons. The students then colored their designs and combined them into a single artwork, discovering that the theorem about the constant sum of radii holds true for any polygon with more than 3 points.
The document summarizes the ICT World 2017 annual eTwinning conference in Warsaw 2018. The conference discussed an Erasmus+ project from 2016-2019 called ICT World that aims to introduce computer science concepts like imaging, coding, and simulation to students in a motivating way. The project involves partner schools collaborating by communicating via email and a twinspace platform, completing common and competitive tasks, and exchanging teaching ideas to improve students' ICT skills, languages, social skills, and sense of European identity.
This document provides a technical vocabulary list of common tools, machines, hardware materials, mechanical parts, and electronic terms used in technical work. The list includes tools like wrenches, screwdrivers, and pliers, machines like belt sanders, and electronic components such as batteries, amplifiers, power, and ground. The document encourages adding to the vocabulary to expand knowledge of technical terms.
1. Englisch
French
German
add
additionner
addieren
addition
somme, addition
Addition
angled
incliné
eckig
approximately
environs
ungefähr
area
aire
Flächeninhalt
assumption
hypothèse
Annahme
assumption
hypothèse
Annahme
calculate
calculer
rechnen
calculation
calcul
Rechnung
calculator
calculatrice
Taschenrechner
calculator
calculatrice
Taschenrechner
centroid
centre de gravité
Schwerpunkt
characteristic
caractéristique
Charakteristik
circle
cercle
Kreis
circular arc
arc de cercle
Kreisbogen
compass/circle
compas/cercle
Zirkel
condition
condition
Voraussetzung
cone
cone
Kegel
congruent
conforme/congru
congruent
connect
connecter
verbinden
connection
connection
Verbindung
construct
construire
konstruieren
construction
construction
Konstruktion
coordinate system
système de coordonnées
Koordinatensystem
cube
cube
Würfel
cuboid
cuboïde
Quader
cylinder
cylindre
Zylinder
definition
définition
Definition
describe
décrire
beschreiben
description
description
Beschreibung
diameter
diamètre
Durchmesser
distance
distance
Strecke
divide
diviser
(ein)teilen
divide
diviser
dividieren
draw
dessiner
zeichnen
ellipse
ellipse
Ellipse
equation
équation
Gleichung
equilateral
équilateral
gleichseitig
estimate
estimer
schätzen
exercise
exercice
Aufgabe
explain
expliquer
erklären
exponential
exponnentiel
exponentiell
exponentiate
exponentiate/élèver à la puissance
potenzieren
extracting a root
obtenir une racine
Wurzelziehen
figure
figure
Figur
focus
focus
Brennpunkt
fraction
fraction
Bruch
function
fonction
function
2. idea
idée
Idee
increase
augmenter
enthalten
inequation
inéquation
Ungleichung
isocelis
isoscèle
gleichschenklig
kite
cerf-volant
Drachen
lateral surface
surface latérale
Mantelfläche
line symmetry
ligne de symmetrie
Achsensymmetrie
material
matériel
Material
math
mathématiques
Mathe
measure
mesure
messen
measurement
mesure
Messung
median
mediane
Seitenhalbierende
midpoint
médiatrice
Mittelpunkt
model
modèle
Modell
multiplication
multipication
Multiplikation
multiply
multiplier
multiplizieren
natural number
nombre naturel
natürliche Zahl
negative number
nombre négatif
negative Zahl
number
nombre
Nummer
numerical sequence
séquence numérique
Zahlenfolge
parabola
parabole
Parabel
parabola
parabole
Parabel
pencil
crayon
Bleistift
perimeter
perimètre
Umfang
perpendicular bisectors of the sides
médiatrices des côtés
Mittelsenkrechte
plane/level
plan/niveau
Ebene
point
point
Punkt
Polygon
polygone
vieleck
polynomial function
fonction polynomielle
Polynomfunktion
power
puissance
Potenz
prism
prisme
Prisma
proof
preuve
Beweis
pyramid
pyramide
Pyramide
quadrangle
quadrilatère
Viereck
question
question
Frage
radius
rayon
Radius
rational number
nombre rationnel
rationale Zahl
rectangle
rectangle
Rechteck
reflection
réflexion
Spiegelung
related to
en relation à
bezogen auf
relation
relation
Beziehung
result
resultat
Ergebnis
round
ronde
rund
ruler
règle
Lineal
segment
segment
Strecke
set square
Geodreieck
sketch
croquis
Skizze
slope
pente
Steigung
solution
solution
Lösung
solution
solution
Lösung
3. solvable
resolvable
lösbar
sphere
sphère
Kugel
square
carré
Quadrat
square root
racine carrée
quadrieren
squaremeter
mètre carré
Quadratwurzel
straight line
ligne droite
Quadratmeter
subtract
soustraire
Gerade
subtraction
soustraction
subtrahieren
surface
surface
Subtraktion
symmetry
symétrie
Oberfläche
symmetry to a point
symétrie par rapport au point
Symmetrie
translation
translation
Punktsymmetrie
trapezium
trapèze
Verschiebung
triangle
tirangle
Trapez
truncated come
tronc de cône
Dreieck
variable
variable
Kegelstumpf
volume
volume
verschiedene
x-axis
axe x
Volumen
y-intercept
ordonnée à l'origine
x-Achse
zero
zéro
y-Achsenabschnitt
zeros
zéros
Nullstelle
4. Dutch
Latvian
Russian
optellen
pielikt, saskaitīt
прибавить, сложить
optelling
saskaitīšana
сложение
hoekig
leņķiskais lielums
угловой
benaderd
aptuveni
приблизительно
oppervlakte
laukums
площадь
veronderstelling
pieņēmums
предположение, допущение
veronderstelling
pieņēmums
предположение, допущение
bereken
rēķināt, skaitļot
вычислить
berekening
risinājums
вычисление
rekentoestel
kalkulators
калькулятор
rekentoestel
kalkulators
калькулятор
zwaartepunt
smaguma centrs
центр тяжести
karakteristiek
īpašība
характеристика, свойство
cirkel
riņķis
круг, окружность
cirkelboog
riņķa līnija
дуга окружности
kompas
cirkulis
compass --компасс, циркуль
voorwaarde
nosacījums
условие
kegel
konuss
конус
congruent
kongruents, vienāds
совпадающий
verbinden
savienot
соединять
verbinding
saistība, savienojums
соединение
construeren
konstruēt
построить
constructie
konstrukcija
построение
coördinatenstelsel
koordinātu plakne
система координат
kubus
kubs
куб
balk
taisnstūra paralēlskaldnis
прямоугольный параллелепипед
cylinder
cilindrs
цилиндр
definitie
definīcija
определение
beschrijven
aprakstīt
описать
beschrijving
apraksts
описание
middellijn
diametrs
диаметр
afstand
attālums
расстояние
delen
dalīt
делить
delen
izdalīts
разделённый
tekenen
zīmēt
рисунок
ellips
elipse
элипс
vergelijking
vienādojums
уравнение
gelijkzijdig
vienādmalu
равносторонний
schatten
novērtēt
оценивать
oefening
vingrinājums
упражнение
uitleggen
izskaidrot
пояснить
exponentieel
eksponenciāls
экспоненциальный, показательный
machtsverheffing
kāpināt
возвести в степень
uitwerken van wortelvorm
izvilkt sakni
извлечение корня
tekening
figūra
фигура
brandpunt
fokuss
фокус
breuk
daļskaitlis
дробь
functie
funkcija
функция
5. idee
ideja
идея
toenemen
palielināt
увеличивать, повышать
ongelijkheid
nevienādība
неравенство
gelijkbenig
vienādsānu
равнобедренный
vlieger
deltoīds, pūķis
дельтоид
zijvlak
sānu virsma
боковая поверхность
lijnspiegeling
simetrijas ass
ось симметрии
materiaal
materiāls
материал
wiskunde
matemātika
математика
meting
mērījums
измерение
meting
mediāna
медиана
middellijn
viduspunkts
середина
middelpunt
modelis
модель
model
reizināšana
умножение
vermenigvuldiging
reizināt
умножать
vermenigvuldigen
naturāli skaitļi
натуральные числа
natuurlijk getal
negatīvi skaitļi
отрицательные числа
negatief getal
skaitlis
число
getal
skaitļu virkne
числовая последовательность
rij
числовой ряд
parabool
parabola
парабола
parabool
zīmulis
карандаш
potlood
perimetrs
периметр
omtrek
malu vidusperpendikuls
серединный перпендикуляр сторон
middelloodlijn
plakne
плоскость
vlak
punkts
точка
punt
daudzstūris
многоугольник
veelhoek
polinomiālā funkcija
полиномная функция
veelteremfunctie
jauda
мощность
macht
prizma
призма
prisma
pierādījums
доказательство
bewijs
piramīda
пирамида
piramide
četrstūris
четырехугольник
vierhoek
jautājums
вопрос
vraag
rādiuss
радиус
straal
racionālie skaitļi
рациональное число
rationaal getal
taisnstūris
прямоугольник
rechthoek
spoguļattēls
отражение
spiegeling
saistīts ar
связанные с, относящиеся к
verwant met
attiecība
отношение
relatie
rezultāts
результат
resultaat
apaļš
круглый
afronden
lineāls
линейка
lineaal
segments
сегмент
lijnstuk
kopa
set - множество
geodriehoek
skice
эскиз
schets
slīpums
наклон
helling
risinājums
решение
oplossing
risinājums
решение
oplossing
risināms
разрешима
6. oplosbaar
lode
bol
vierkant
kvadrātisks
квадратный
kvadrātsakne
квадратный корень
vierkantswortel
kvadrātmetrs
квадратный метр
vierkante meter
taisna līnija, taisne
нрямая линия
rechte
atņemt
вычесть
aftrekken
atņemšana
вычитание
aftrekking
virsma
поверхность
oppervlak
simetrija
симметрия
symmetrie
simetrija pret punktu
симметрия относительно точки
puntspiegeling
mērīt
измерять
verschuiving
tulkojums, pārvietojums
перевод, смещение, сдвиг
trapezium
trapece
трапеция
driehoek
trijstūris
треугольник
afgeknotte kegel
nošķelts konuss
truncated cone - усечённый конус
veranderlijke
mainīgais
переменная
inhoud
tilpums
объём
x-as
abscisu ass, x ass
ось Х, ось абсцисс
snijpunt met y-as
krustpunkts ar y asi
точка пересечения с осью У
nul
nulle
нуль