EMILE : Enseignement d'une Matière Intégrée à une Langue Étrangère

### Fractions

x, y, z

/ˈɛks/ , /ˈwaɪ/ , /ˈzɛd/

½ ; 3/2 One half; Three halves
f(x)

/ˈɛf ɒv ɛks/

1/3 ; ¼ ; ¾ On third; one quarter; three quarters
α, β, γ

alpha, beta, gamma

5/6 Five over six; five sixths; five in six
π

/ˈpaɪ/

3/100 ; 7/40 One hundredths; seven fortieths

### Powers

Operation Result Link 10² ten squared

Plus

103

ten cubed

Subtraction Difference

Minus

To subtract

To take

ten to the power of three
Multiplication Product

Times

To multiply by

ten to the third power
Division Quotient Divided by ten power three
 √x Square root of x

### Large numbers

0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. Digits, numerals, figures, symbols used for writing numbers 2,000,000=2.106 Two million
{0, 1, 2, 3,...} Integers, whole numbers 3,000,000,000=3.109 Three billion
{..., -3, -2, -1, 0, 1, 2, 3,...} Relative integers 4.1012 Four trillion
3.14

Decimal number, decimals

Three point fourteen

### Transformations

• Symmetry with respect to an axis
• Translation with respect to a vector
• Homethety of center A and ratio 3
• Rotation of center A, angle 32°, (anti)clockwise
• A' is the image of A by symmetry respect to line Δ

### English

Droite Line
Demi-droite Ray
Segment Segment
Médiatrice Perpendicular Bisector
Bissectrice  Angle bisector
Hauteur  Height
Médiane Median
Diamètre Diameter
Compas Compass
Équerre Square (set)
Rapporteur Protractor

### Mathematical Notations

... and so forth   ū u bar
Therefore, so, hence   Line AB

Because, since   Vector AB

End of proof ∠ABC Angle ABC
= Equals to, is equal to ΔABC Triangle ABC
Does not equal to, is not equal to ∈, ∉ Is element of, is not an element of
Almost equal to, is approximately equal to Ø Empty set (O slash)
< Is less than Set of real numbers
> Is greater than  Arccos  Arccosine, inverse cosine
Is less than or equal to  Arcsin  Arcsine, inverse sine
Is greater than or equal to  Arctan  Arctangent, inverse tangent
gcd(a, b) Greatest Common Divisor  [ (  bracket, parenthesis

### Useful Expressions

 Règle de trois Rule of three Produit en croix Cross multiplication Algorithme d'Euclide Euclidean algorithm Division euclidienne Euclidean division Retenue Carry Reste (division) Remainder Programme (informatique) Program

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