Pronunciation : I sink, therefore I ...
It's a good job you'd be looking for words BUT what'd you do with written words you just can't pronounce ?
Take a second with these : 'affine' and 'determine' . They both have an 'ine'ending , but then does it mean it would be pronounced the same ?
Through the link below , you have access to a free online Talking Dictionary of English Pronunciation.
Have a first go at 'affine', then change to whatever you want
By the way :
the word 'affine' exists but it will be some time before students deal with Best Affine Approximations and until then I guess it's common to say that a function is linear instead ...
- Maths vocab book
Mathematical Vocabulary Book
copied from : http://nationalstrategies.standards.dcsf.gov.uk/
"The purpose of this book is to identify the words and phrases that children need to understand and use if they are to make good progress in mathematics. It is designed to support the National Numeracy Strategy alongside the Framework for Teaching Mathematics."Classwork related
What is the theoretical probability of spinning and getting the colour blue on a three colour spinner?
What is the probability of getting a head when you toss a coin?
What is the probability of rolling a 6 when you roll a die?
The maths you need to answer these questions is quite simple :
but , you 'll have to know what a spinner is , what tossing a coin consists of ...
Most mathematical words and concepts sound nearly the same in both French and English : if you're French, 'Pythagoras'Theorem' has an obvious meaning.
Now, even if a 'right-angled triangle' has an obvious meaning too, it's not what you'd have used spontaneously, is it ?
Here are some common mistakes and some phrases that don't translate from French to English the way you would like them to.
Basic revisions : quadratic function, completing the square or discriminant ...
- Miscellanous Basic Vocabulary
- odt
- doc
Miscellaneous Basic Vocabulary
Probability Summary
Optimisation : abridged version
This is an abridged version of a longer text on applications of differentiation.
The aim is to provide explanations when solving an optimisation problem.
Seconde 2009
The vocab you should know ...
Basic needs & phonetics
This section needs a unicode font installed
A list of basic vocabulary with written pronunciation , copied & adapted from the link below.
A list of basic vocabulary with written pronunciation , copied & adapted from the link below.
Symbols
In 1557,Robert Recorde wrote "I will sette as I doe often in woorke use, a paire of parralles, or Gemowe lines of one lengthe, thus ==, bicause noe 2 thynges can be moare equalle." (NRich)
| + | plus | /'plʌs/ |
| - | minus | /'maɪnəs/ |
| ± | plus or minus | /'plʌs ɔ: 'maɪnəs/ |
| x | multiplied by | /'mʌltɪplaɪd baɪ/ |
| / | over; divided by | /'əʊvə/ /dɪ'vaɪdəd/ |
| ÷ | divided | /dɪ'vaɪdəd/ |
| = | equals | /'ɪ:kwəlz/ |
| ≈ | approximately, similar | /ə'prɒksɪmətlɪ/ /'sɪmɪlə tʊ/ |
| ≡ | equivalent to; identical | /ɪk'wɪvələnt tʊ/ /aɪ'dentɪkl tʊ/ |
| ≠ | not equal to | /'nɒt 'iːkwəl tʊ/ |
| > | greater than | /'greɪtə ðən/ |
| < | less than | /'les ðən/ |
| ≥ | greater than or equal to | /'greɪtə ðən ər 'iːkwəl tʊ/ |
| ≤ | less than or equal to | /'les ðən ər' iːkwəl tʊ/ |
| ⊥ | perpendicular to | /pɜːpən'dɪkjʊlə tʊ/ |
| ∣∣ | parallel to | /'pærəlel tʊ/ |
| ² | squared | /'skweəd/ |
| ³ | cubed | /'kju:bd/ |
| 4 | to the fourth; to the power four | /tə ðə 'fɔːθ/ /te ðə 'pɑʊə fɔː/ |
| n | to the n; to the nth; to the power n | /tə ðɪ en; tə dɪ enθ; tə ðə pɑʊər en/ |
| √ | root; square root | /ru:t/ /skweə ru:t/ |
| ∛ | cube root | /kju:b ru:t/ |
| ∜ | fourth root | /fɔːθ ruːt/ |
| ! | factorial | /fæk'tɔːrɪəl/ |
| % | percent | /pə'sent/ |
| ∞ | infinity | /ɪn'fɪnətɪ/ |
| ∝ | varies as; proportional to | /'vɛərɪz/ /prə'pɔːʃənəl/ |
| ˙ | dot | /dɒt/ |
| ¨ | double dot | /dʌbl dɒt/ |
| : | is to, ratio of | /reɪʃɪəʊ/ |
| f | f; function f | /ef/ /'fʌŋkʃən ef/ |
| f(x) | f of x | /ef əv eks / |
| f'(x) | f dash; derivative ; f prime | /dæʃ/ /dɪ'rɪvətɪv/ /praɪm/ |
| f''x | f double-dash; second derivative | /'dʌbl dæʃ/ /'sekənd dɪ'rɪvətɪv/ |
| f'''(x) | f triple-dash; f treble-dash; third derivative | /'trɪpl dæʃ/ / trebl dæʃ/ /θɜ:d dɪ'rɪvətɪv/ |
| f(4) | f four; fourth derivative | /fɔːθ dɪ'rɪvətɪv/ |
| ∂ | partial derivative, delta | /paːʃəl dɪ'rɪvətɪv/ /deltə/ |
| ∫ | integral | /'ɪntɪgrəl/ |
| ∑ | sum | /sʌm/ |
| w.r.t. | with respect to | /wɪð 'rɪspekt/ |
| log | log | /lɒg/ |
| log₂x | log to the base 2 of x | /lɒg tə ðə beɪs tu: əv eks/ |
| ∴ | therefore | /'ðɛəfɔː/ |
| ∵ | because | /bɪ'kɒz/ |
| → | gives, leads to, approaches | /gɪvz/ /li:dz tʊ/ /əprəʊʧəz/ |
| / | per | /pɜ:/ |
| ∈ | belongs to; a member of; an element of | /bɪ'lɒŋz/ /'membə/ /'elɪmənt/ |
| ∉ | does not belong to; is not a member of; is not an element of | /nɒt bɪ'lɒŋ/ /nɒt ə 'membə/ /nɒt ən 'elɪmənt/ |
| ⊂ | contained in; a proper subset of | /kən'teɪnd ɪn/ /'prɒpə 'sʌbset/ |
| ⊆ | contained in; subset | /'sʌbset/ |
| ⋂ | intersection | /'ɪntəsekʃən/ |
| ⋃ | union | /'juːnɪən/ |
| ∀ | for all | /fə rɔ:l/ |
| cos x | cos x; cosine x | /kɒz/ |
| sin x | sine x | /saɪn/ |
| tan x | tangent x | /tan/ |
| cosec x | cosec x | /'kəʊsek/ |
| sinh x | shine x | /'ʃaɪn/ |
| cosh x | cosh x | /'kɒʃ/ |
| tanh x | than x | /θæn/ |
| |x| | mod x; modulus x | /mɒd/ /'mɒdjʊləs/ |
| ℃ | degrees Celsius | /dɪ'gri:z 'selsiːəs/ |
| ℉ | degrees Fahrenheit | /dɪ'gri:z 'færənhaɪt/ |
| °K | degrees Kelvin | /dɪ'gri:z 'kelvɪn/ |
| 0°K, –273.15 °C | absolute zero | /absəlu:t zi:rəʊ/ |
| mm | millimetre | /'mɪlɪmiːtə/ |
| cm | centimetre | /'sentɪmiːtə/ |
| cc, cm³ | cubic centimetre, centimetre cubed | /'kjuːbɪk 'sentɪmiːtə/ /'sentɪmiːtə 'kju:bd/ |
| m | metre | /'miːtə/ |
| km | kilometre | /kɪ'lɒmɪtə/ |
| mg | milligram | /'mɪlɪgræm/ |
| g | gram | /græm/ |
| kg | kilogram | /'kɪləgræm/ |
| AC | A.C. | /eɪ si:/ |
| DC | D.C. | /di: si:/ |
Examples
| x + 1 | x plus one |
| x -1 | x minus one |
| x ± 1 | x plus or minus one |
| xy | x y; x times y; x multiplied by y |
| (x — y)(x + y) | x minus y, x plus y |
| x/y | x over y; x divided by y; |
| x ÷ y | x divided by y |
| x = 5 | x equals 5; x is equal to 5 |
| x ≈ y | x is approximately equal to y |
| x ≡ y | x is equivalent to y; x is identical with y |
| x ≠ y | x is not equal to y |
| x > y | x is greater than y |
| x < y | x is less than y |
| x ≥ y | x is greater than or equal to y |
| x ≤ y | x is less than or equal to y |
| 0 < x < 1 | zero is less than x is less than 1; x is greater than zero and less than 1 |
| 0 ≤ x ≤ 1 | zero is less than or equal to x is less than or equal to 1; x is greater than or equal to zero and less than or equal to 1 |
| x² | x squared |
| x³ | x cubed |
| x4 | x to the fourth; x to the power four |
| xn | x to the n; x to the nth; x to the power n |
| x-n | x to the minus n; x to the power of minus n |
| √ | root x; square root x; the square root of x |
| ∛ | the cube root of x |
| ∜ | the fourth root of x |
 |
the nth root of x |
| (x + y)² | x plus y all squared |
| (x/y)² | x over y all squared |
| n! | n factorial; factorial n |
| x% | x percent |
| ∞ | infinity |
| x ∝ y | x varies as y; x is (directly) proportional to y |
| x ∝ 1/y | x varies as one over y; x is indirectly proportional to y |
| ẋ | x dot |
| ẍ | x double dot |
| f(x) fx | f of x; the function of x |
| f'(x) | f dash x; the (first) derivative of with respect to x |
| f''x | f double-dash x; the second derivative of f with respect to x |
| f'''(x) | f triple-dash x; f treble-dash x; the third derivative of f with respect to x |
| f(4) | f four x; the fourth derivative of f with respect to x |
| ∂v | the partial derivative of v |
| ∂v ∂θ |
delta v by delta theta, the partial derivative of v with respect to θ |
| ∂²v ∂θ² |
delta two v by delta theta squared; the second partial derivative of v with respect to θ |
| dv | the derivative of v |
| dv dθ |
d v by d theta, the derivative of v with respect to theta |
| π 4 |
π by 4 |
| d²v dθ² |
d 2 v by d theta squared, the second derivative of v with respect to theta, |
| ∫ | integral |
 |
integral from zero to infinity |
| ∑ | sum |
 |
the sum from i equals 1 to n |
| w.r.t. | with respect to |
| logey | log to the base e of y; log y to the base e; natural log (of) y |
| ∴ | therefore |
| ∵ | because |
| → | gives, approaches |
| Δx → 0 | delta x approaches zero |
| lim Δx→0 |
the limit as delta x approaches zero, the limit as delta x tends to zero |
| Lt Δx→0 |
the limit as delta x approaches zero, the limit as delta x tends to zero |
| m/sec | metres per second |
| x ∈ A | x belongs to A; x is a member of A; x is an element of A |
| x∉ A | x does not belong to A; x is not a member of A; x is not an element of A |
| A⊂ B | A is contained in B; A is a proper subset of B |
| A ⊆ B | A is contained in B; A is a subset of B |
| A ⋂ B | A intersection B / A cap B |
| A ⋃ B | A union B / A cup B |
| cos x | cos x; cosine x |
| sin x | sine x |
| tan x | tangent x, tan x |
| |x| | absolute value of x ; mod x; modulus x |
| 18 ℃ | eighteen degrees Celsius |
| 70 ℉ | seventy degrees Fahrenheit |
Greek alphabet / 'ælfəbit/
| Α | α | alpha | /'ælfə/ |
| Β | β | beta | /'bi:tə/ |
| Γ | γ | gamma | /'gæmə/ |
| Δ | δ | delta | /'deltə/ |
| Ε | ε | epsilon | /'epsilən/ |
| Ζ | ζ | zeta | /'ziːtə/ |
| Η | η | eta | /'iːtə/ |
| Θ | θ | theta | /'θiːtə/ |
| Ι | ι | iota | /aɪ'əʊtə/ |
| Κ | κ | kappa | /'kæpə/ |
| Λ | λ | lamda | /'læmdə/ |
| Μ | μ | mu | /'mjuː/ |
| Ν | ν | nu | /'njuː/ |
| Ξ | ξ | xi | /'ksaɪ/ |
| Ο | ο | omicron | /'əʊmɪkrən/ |
| Π | π | pi | /'paɪ/ |
| Ρ | ρ | rho | /'rəʊ/ |
| Σ | σ | sigma | /'sɪgmə/ |
| Τ | τ | tau | /'tɑʊ/ |
| Υ | υ | upsilon | /'jʊpsɪlən/ |
| Φ | φ | phi | /'faɪ/ |
| Χ | χ | chi | /'kaɪ/ |
| Ψ | ψ | psi | /'psaɪ/ |
| Ω | ω | omega | /'əʊmɪgə/ |
Roman alphabet
| A | a | /'eɪ/ |
| B | b | /'biː/ |
| C | c | /'siː/ |
| D | d | /'diː/ |
| E | e | /'iː/ |
| F | f | /'ef/ |
| G | g | /'ʤiː/ |
| H | h | /'eɪʧ/ |
| I | i | /'aɪ/ |
| J | j | /'ʤeɪ/ |
| K | k | /'keɪ/ |
| L | l | /'el/ |
| M | m | /'em/ |
| N | n | /'en/ |
| O | o | /'əʊ/ |
| P | p | /'piː/ |
| Q | q | /'kjuː/ |
| R | r | /'ɑː/ |
| S | s | /'es/ |
| T | t | /'ti:/ |
| U | u | /'ju:/ |
| V | v | /'vi:/ |
| W | w | /'dʌbljuː/ |
| X | x | /'eks/ |
| Y | y | /'waɪ/ |
| Z | z | /'zed/ |
Fractions
| ½ | a half | /ə 'hɑ:f/ |
| ¼ | a quarter | /ə 'kwɔːtə/ |
| ¾ | three quarters | /θriː 'kwɔːtəz/ |
| ⅓ | a third | /ə 'θɜ:d/ |
| ⅔ | two thirds | /tu: 'θɜ:dz/ |
| ⅕ | a fifth | /ə 'fɪfθ/ |
| ⅖ | two fifths | /tu: 'fɪfθs/ |
| ⅗ | three fifths | /θriː 'fɪfθs/ |
| ⅘ | four fifths | /fɔː 'fɪfθs/ |
| ⅙ | a sixth | /ə 'sɪksθ/ |
| ⅚ | five sixths | /faɪv 'sɪksθs/ |
| ⅛ | an eighth | /ən 'eɪtθ/ |
| ⅜ | three eighths | /θriː 'eɪtθs/ |
| ⅝ | five eighths | /faɪv 'eɪtθs/ |
| ⅞ | seven eighths | /sevən 'eɪtθs/ |
Decimal Fractions
| 0.1 | nought point one | /nɔ:t pɔɪnt wʌn/ |
| 0.01 | nought point oh one | /nɔ:t pɔɪnt əʊ wʌn/ |
| 0.0001 | nought point oh oh oh one | /ten pɔɪnt əʊ əʊ əʊ wʌn/ |
| 1.1 | one point one | /wʌn pɔɪnt wʌn/ |
| 1.2 | one point two | /wʌn pɔɪnt tu:/ |
| 1.23 | one point two three | /wʌn pɔɪnt tu: θri:/ |
| 1.0123 | one point oh one two three | /wʌn pɔɪnt əʊ wʌn tu: θri:/ |
| 10.01 | ten point oh one | /ten pɔɪnt əʊ wʌn/ |
| 21.57 | twenty-one point five seven | /'twentɪ wʌn pɔɪnt faɪv 'sevən/ |
| 2.6666666666.... | two point six recurring | /tu: pɔɪnt sɪks rɪ'kɜ:rɪŋ/ |
| 2.612361236123... | two point six one two three recurring | /tu: pɔɪnt sɪks wʌn tu: θri: rɪ'kɜ:rɪŋ/ |
| 2.5 million | two point five million | /tu: pɔɪnt faɪv 'mɪljən/ |
SI Units: Prefixes
| 10-15 | femto | f | /'femtəʊ/ |
| 10-12 | pico | p | /'pi:kəʊ/ |
| 10-9 | nano | n | /'nanəʊ/ |
| 10-6 | micro | µ | /'maɪkrəʊ/ |
| 10-3 | milli | m | /'mɪlɪ/ |
| 10-2 | centi | c | /'sentɪ/ |
| 10-1 | deci | d | /'desɪ/ |
| 103 | kilo | k | /'kɪləʊ/ |
| 106 | mega | M | /'megə/ |
| 109 | giga | G | /'gɪgə/ |
| 1012 | tera | T | /'terə/ |
Cardinal Numbers
| 1 | one | /wʌn/ |
| 2 | two | /tu:/ |
| 3 | three | /θri:/ |
| 4 | four | /fɔː/ |
| 5 | five | /faɪv/ |
| 6 | six | /sɪks/ |
| 7 | seven | /'sevən/ |
| 8 | eight | /eɪt/ |
| 9 | nine | /naɪn/ |
| 10 | ten | /ten/ |
| 11 | eleven | /ɪ'levən/ |
| 12 | twelve | /twelv/ |
| 13 | thirteen | /θɜ:'ti:n/ |
| 14 | fourteen | /fɔː'ti:n/ |
| 15 | fifteen | /fɪf'ti:n/ |
| 16 | sixteen | /sɪkst'i:n/ |
| 17 | seventeen | /seven'ti:n/ |
| 18 | eighteen | /eɪ'ti:n/ |
| 19 | nineteen | /naɪn'ti:n/ |
| 20 | twenty | /'twentɪ/ |
| 21 | twenty-one | /twentɪ'wʌn/ |
| 22 | twenty-two | /twentɪ'tu:/ |
| 23 | twenty-three | /twentɪ'θri:/ |
| 24 | twenty-four | /twentɪ'fɔː/ |
| 25 | twenty-five | /twentɪ'faɪv/ |
| 26 | twenty-six | /twentɪ'sɪks/ |
| 27 | twenty-seven | /twentɪ'sevən/ |
| 28 | twenty-eight | /twentɪ'eɪt/ |
| 29 | twenty-nine | /twentɪ'naɪn/ |
| 30 | thirty | /'θɜ:tɪ/ |
| 40 | forty | /'fɔːtɪ/ |
| 50 | fifty | /'fɪftɪ/ |
| 60 | sixty | /'sɪkstɪ/ |
| 70 | seventy | /'sevəntɪ/ |
| 80 | eighty | /'eɪtɪ/ |
| 90 | ninety | /'naɪntɪ/ |
| 100 | a hundred; one hundred | /ə 'hʌndrəd/ /wʌn 'hʌndrəd/ |
| 101 | a hundred and one | /ə 'hʌndrəd ən wʌn/ |
| 102 | a hundred and two | /ə 'hʌndrəd ən tu:/ |
| 110 | a hundred and ten | /ə 'hʌndrəd ən ten/ |
| 120 | a hundred and twenty | /ə 'hʌndrəd ən 'twentɪ/ |
| 200 | two hundred | /tu: 'hʌndrəd/ |
| 300 | three hundred | /θri: 'hʌndrəd/ |
| 400 | four hundred | /fɔː 'hʌndrəd/ |
| 500 | five hundred | /faɪv 'hʌndrəd/ |
| 600 | six hundred | /sɪks 'hʌndrəd/ |
| 700 | seven hundred | /'sevən 'hʌndrəd/ |
| 800 | eight hundred | /eɪt 'hʌndrəd/ |
| 900 | nine hundred | /naɪn 'hʌndrəd/ |
| 1 000 | a thousand, one thousand | /ə θ'ɑʊzənd/ /wʌn 'θɑʊzənd/ |
| 1 001 | a thousand and one | /ə 'θɑʊzənd ən wʌn/ |
| 1 010 | a thousand and ten | /ə 'θɑʊzənd ən ten/ |
| 1 020 | a thousand and twenty | /ə 'θɑʊzənd ən 'twentɪ/ |
| 1 100 | one thousand, one hunded | /wʌn 'θɑʊzənd wʌn 'hʌndrəd/ |
| 1 101 | one thousand, one hundred and one | /wʌn 'θɑʊzənd wʌn 'hʌndrəd ən wʌn/ |
| 1 110 | one thousand, one hundred and ten | /wʌn 'θɑʊzənd wʌn 'hʌndrəd ən ten/ |
| 9 999 | nine thousand, nine hundred and ninety-nine | /naɪn 'θɑʊzənd naɪn 'hʌndrəd ən 'naɪntɪ 'naɪn/ |
| 10 000 | ten thousand | /ten 'θɑʊzənd/ |
| 15 356 | fifteen thousand, three hundred and fifty six | /'fɪfti:n 'θɑʊzənd θri: 'hʌndrəd ən 'fɪftɪ sɪks/ |
| 100 000 | a hundred thousand | /ə 'hʌndrəd 'θɑʊzənd/ |
| 1 000 000 | a million | /ə 'mɪljən/ |
| 100 000 000 | a hundred million | /ə 'hʌndrəd 'mɪljən/ |
| 1 000 000 000 | a billion | /ə 'bɪljən/ |
Ordinal Numbers
| 1st | first | /fɜ:st/ |
| 2nd | second | /'sekənd/ |
| 3rd | third | /θɜ:d/ |
| 4th | fourth | /fɔ:θ/ |
| 5th | fifth | /fɪfθ/ |
| 6th | sixth | /sɪksθ/ |
| 7th | seventh | /'sevənθ/ |
| 8th | eighth | /eɪtθ/ |
| 9th | ninth | /naɪnθ/ |
| 10th | tenth | /tenθ/ |
| 11th | eleventh | /ɪ'levənθ/ |
| 12th | twelfth | /'twelfθ/ |
| 13th | thirteenth | /θɜ:'ti:nθ/ |
| 14th | fourtheenth | /fɔː'ti:nθ/ |
| 15th | fidteenth | /fɪf'ti:nθ/ |
| 16th | sixteenth | /sɪks'ti:nθ/ |
| 17th | seventeenth | /seven'ti:nθ/ |
| 18th | eighteenth | /eɪ'ti:nθ/ |
| 19th | nineteenth | /naɪn'ti:nθ/ |
| 20th | twentieth | /'twentɪəθ/ |
| 21st | twenty-first | /twentɪ'fɜ:st/ |
| 22nd | twenty-second | /twentɪ'sekənd/ |
| 23rd | twenty-third | /twentɪ'θɜ:d/ |
| 24th | twenty-fourth | /twentɪ'fɔ:θ/ |
| 25th | twenty-fifth | /twentɪ'fɪfθ/ |
| 26th | twenty-sixth | /twentɪ'sɪksθ/ |
| 27th | twenty-seventh | /twentɪ'sevənθ/ |
| 28th | twenty-eighth | /twentɪ'eɪtθ/ |
| 29th | twenty-ninth | /twentɪ'naɪnθ/ |
| 30th | thirtieth | /'θɜːtɪəθ/ |
| 31st | thirty-first | /θɜːtɪ'fɜ:st/ |
| 40th | fortieth | /'fɔ:tɪəθ/ |
| 50th | fiftieth | /'fɪftɪəθ/ |
| 100th | hundredth | /'hʌndrədθ/ |
| 1 000th | thousandth | /'θɑʊzəndθ/ |
| 1 000 000th | millionth | /'mɪljənθ/ |
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