EpsilonWriter 2.5
Table of parameters
The basic movements of expressions are available in all levels. They are only disabled when selecting "Dynamic Algebra: no."
The table below describes the other mechanisms.
The table at the bottom of the page shows examples of expansion and simplication according to low, medium, high chosen for the "expansion" mechanism.
Dynamic Algebra |
Pedagocical |
Light |
Medium |
Strong |
Integer factorization (two factors) |
|
|
|
|
Integer factorization (prime factors) |
|
|
|
|
Factorising |
|
|
|
|
Factoring the inverse of the denominator |
|
|
|
|
Factoring HCF: |
|
|
|
|
Factoring 1 over LCM: |
|
|
|
|
adding like terms |
|
Two |
Several |
Several |
multiplying like factors |
|
Two |
Several |
Several |
Expansion |
No |
Light |
Medium |
Strong |
Additive simplification in relations |
|
|
|
|
Multiplicative simplification in fractions |
|
Same factors |
Like factors |
Like factors |
Multiplicative simplification in relations |
|
Same factors |
Like factors |
Like factors |
Completing the square |
|
|
|
|
Factorization with a²-b² |
|
|
|
|
Addition to both sides of an external element |
|
|
|
|
Multiply both sides by an external element |
|
|
|
|
Addition side with side of |
|
|
|
|
Multiplication side with side by |
|
|
|
|
substitution with |
|
|
|
|
Decomposition of equation |
|
|
|
|
Solved form of an equation of one variable |
|
|
|
Degree 1 |
Solved form of an inequality of one variable |
|
|
|
Degree 1 |
Resolution with the discriminant |
|
|
|
|
Resolution with Cardan's formulas |
|
|
|
|
Set simplification |
|
|
One step |
Global |
Table of signs to fill |
|
|
|
|
Table of signs filled |
|
|
|
|
Table of signs filled and solutions |
|
|
|
|
Definition conditions |
|
|
|
|
Transform factored conditions into a set |
|
|
|
|
Calculation of a limit |
|
|
|
|
At infinity, expression of the limit with monomials of highest degree |
|
|
|
|
Calculation of derivative |
|
|
|
|
Variation table to fill |
|
|
|
|
Filled variation table |
|
|
|
|
Examples of expansion and simplification
| adding like terms | No | Two | Several | Several |
| multiplying like factors | No | Two | Several | Several |
| Expansion | No | Light | Medium | Strong |
| 2x+3x | 5x | 5x | 5x | |
| 2x+3x+4x | 9x | 9x | ||
 |
 |
|
|
|
 |
 |
|
||
| x(2x+1) |  |
|
|
|
| (x+y)(a+b) | (x+y)a+(x+y)b | xa+xb+ya+yb | xa+xb+ya+yb | |
 |
(x+2y)(x+2y) |  |
|
|
 |
(a+b)(a+b)(a+b) |  |
|
|
 |
 |
|
|
|
 |
 |
 |
|
|
 |
 |
 |
|
|
 |
 |
|||
| 2(x+1)=3(x-2) | 2x+2=3x-6 | |||
 |
a | a | ||
 |
 |
 |