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ASYMPTOTE [Adaptive Synchronous Mathematics Learning Paths for Online Teaching in Europe] aims at the development of a tool for the conduct of synchronous online and distance mathematics education.

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efunction
A LG about the efunction and its properties
# Exponential function
# Logarithmic function
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POWERS
Exercises with powers
# Powers
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Statistics and Probability
This learning graph deals with absolute & relative frequences, probability, mean, median, data plotting, data visualization and random experiments.
Please round to two decimal digits whenever needed and not indicated otherwise.
# Statistical values
# Probability
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Fractions
In this graph there are some exercises with fractions. Enjoy!
# Fractions
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Practicing of Linear Functions
In this learning graph, tasks are given on the concept of proportionality as well as on the slope and graph of a linear function.
# Linear functions
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Modeling linear processes
This learning graphs contain easy and medium modeling and applied tasks on linear functions.
# Linear functions
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Arc Sine
This learning graph treats the arc sine function from its domain and range to the calculation of the tangents to arcsin(x).
# Functions of one variable
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HBLG3_Matrix equations and systems of linear equations
The purpose of this learning graph is, on the one hand, to solve matrix equations and, on the other hand, to solve systems of linear equations, Matrices are the perfect tool for solving systems of equations. A very concise way of writing a system of linear equations is using the matrix equation: $A X = B$, where $A$ is an $n × m$ matrix, $X$ is an $m × 1$ matrix and $B$ is an $n × 1$ matrix.
# Equations
# System of linear equations
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HBLG4_Gauss Elimination Method and Applications
Gauss Elimination Method and Applications (to solve linear systems, to find the matrix rank, to find inverse of a matrix)
# System of linear equations
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Latest Tasks
In search of Big Macs
Jon is an American guy who loves Big Macs. While on a trip around the world, he eats eight Big Macs: two in Germany, one in the United States, two in Switzerland, and three in India.
Assuming that the prices of the Big Mac are:
In Germany 3.59 €, in the United States 4.59 €, in Switzerland 5.99 € and in India 1.77 €.
a) What was Jon's total expenditure on Big Macs during his vacation?
b) If his flight was canceled, Jon would stay in the United States. In the United States, how much would he spend on the same number of Big Macs?
# Decimal fractions
# Units & rounding
Training
5
The population
The population of a town is 20.000 citizens. From them 8.206 are men. Men are 426 fewer than women. How many children are living in the town?
# Operations with natural numbers
Training
5
Distributive Property in Algebraic Expressions_2
Match the following algebraic expressions:
1. $4(x2)3+x$
2. $3(x2)(x3)$
3. $2(x+2)+3(x+2)$
4. $(x2)+3(x2)$
to its equivalent simplified expression, by writing the number of expression to the right
# Unassigned
Training
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Granit prism
Calculate the volume of the granit block. Round the result in m³ to two decimal places.
# Unassigned
Training
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Granit bench
Calculate the weight of the sitting part of a granit bench. The sitting part of the bench has the following dimensions: width 43 cm, height 13 cm, length 180 cm. The density of granit is 2600 kg/m³. Give the result rounded to the nearest whole in kilograms.
# Unassigned
Reasoning
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Cobblestones
One cobblestone is a cube with the edge 8 cm long. How many of these cobblestones fit to one cubic meter? Give the result as a whole number.
# Unassigned
Modeling
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A problem of one euro
A 1 euro coin is made of a bimetallic layered composition: cupronickel for the silver part (internal) and brass for the gold part (external).
The euro has a 23.25 mm diameter.
What is the radius of the inner circumference if the distance between the golden (outer) and silver (inner) circumferences is d = 3 nm?
# Circle
Training
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Hexagonal prism
The decorative block around the statue of Prince Pribina has the shape of a hexagonal prism, the base of which is an irregular hexagon. The height of the prism is 21 cm. Calculate the sum of the lengths of all edges of this prism in centimetres. Measurements are in centimetres.
# Unassigned
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Differential_arctan_B_T
Consider the function $f(x)= 2 \arctan\left(2x\right)$ with domain $D_f = \mathbb{R}$.
The differential of the function $y=f(x)$ at the point $x=\dfrac{1}{2}$ is:
# Complements of differential calculus in real numbers
Training
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Twitter News
Dear users, we are very proud to welcome you to our brand new ASYMPTOTE main page. On the website you will find all information about the ASYMPTOTE Strategic Partnership, the link to the ASYMPTOTE web ...