Vocabulary

  • instead of: When one thing is replaced by another
  • with respect to: In relation to; regarding.
  • for example: As an illustration or instance.
  • in other words: Stating something in a different way, often to make it clearer or more understandable.
  • speed up: To move more quickly
  • look at: To use your eyes to focus on something
  • on the line: At risk; in a situation where something could be lost.
  • over time: Gradually; as time passes.
  • change over: To switch from one thing to another.
  • think of: To look on as (being something specific); consider
  • go back to: To return to a starting point
  • no matter: Regardless of; it does not matter.
  • for instance: As an example.
  • on the other hand : Considering a different aspect of the matter; alternatively.
  • come along: To go with someone who takes the lead
  • into time: Over a period, involving a gradual process or change.
  • point in time: A specific moment or instance when something occurs or exists.
  • in time: Eventually; after a period of time.
  • at once: Immediately; without delay
  • point at: To aim (gun, etc.) at someone or something
  • in on: To be involved in a secret or plan.
  • in the world: Used to emphasize a question expressing surprise, confusion, disbelief
  • assume: To act in a false manner to mislead others
  • constant: Happening frequently or without pause
  • straight: Not having curves, bends, or angles
  • exact: Completely correct; accurate; specific
  • represent: To depict art objects, figures, scenes; to portray
  • imagine: To think creatively about; form mental picture of
  • relationship: Connection between two or more people or things
  • function: Social event, or party such as a wedding
  • predict: To guess or estimate what will or might happen
  • mean: Average of a set of numbers
  • maintain: To keep saying something a certain way
  • gear: To aim at or prepare yourself for something
  • draw: To attract attention to someone or something
  • population: Number of people who live in a country, area etc.
  • orbit: Path an object takes as it circles another object
  • visualize: To create a picture in your mind of something
  • universal: Existing in all places at all times for all people
  • distance: Lack of friendliness toward another person
  • equal: Same in shape, size, or number
  • respect: To follow the established rules
  • invisible: Being unable to be seen
  • steep: Very expensive
  • analyze: To study carefully to find out the meaning of
  • race: Speed contest between people, animals or vehicles
  • leave: To go away from; depart
  • previously: At an earlier time
  • naked: Not wearing any clothes; without covering
  • curve: Smooth rounded line that is not straight
  • moment: Very short or brief period of time
  • optimize: To make as effective as possible
  • point: An item to be discussed
  • forecast: Prediction of some future thing, e.g. the weather
  • step: Movement done as part of a particular dance
  • change: To exchange one set of clothes for another
  • find: To become aware of something that is happening
  • predictable: Capable of being guessed before it happens
  • axis: A line about which a rotating body turns
  • basin: A sink; a place in a bathroom to wash your face
  • slope: Angle of a decline, e.g. where a road dips down
  • cover: To record a different version of another song
  • life: All the living things e.g. animals, plants, humans
  • time: Speed at which music is played; tempo
  • calculate: To find an answer using mathematics
  • marginal: Very small; on the edge; not important
  • answer: To reply to a question someone asks
  • long: Person's name
  • derivative: Not from original ideas; from somewhere else
  • zoom: Camera lens used to magnify images
  • engineering: The practical application of science to industry
  • calculus: Branch of math dealing with rates of change, etc.
  • generalize: To apply a particular idea to a large group
  • denominator: Bottom number in a fraction
  • banger: Old car
  • numerator: Dividend of a fraction
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  • not found vocabularyNo vocabulary matches your filters
    • analyze

      US /ˈænəˌlaɪz/

      UK /'ænəlaɪz/

      • Transitive Verb
      • To study carefully to find out the meaning of
      B1TOEIC
      More
    • assume

      US /əˈsum/

      UK /ə'sju:m/

      • Transitive Verb
      • To act in a false manner to mislead others
      • To believe, based on the evidence; suppose
      A2TOEIC
      More
    • at once

      US /æt wʌns/

      UK /æt wʌns/

      • Adverb
      • Immediately; without delay
      • At the same time; simultaneously
      A2
      More
    • axis

      US /ˈæksɪs/

      UK /ˈæksɪs/

      • Noun
      • A line about which a rotating body turns
      B1
      More
    • banger

      US /ˈbæŋɚ/

      UK /ˈbæŋə(r)/

      • Noun
      • Old car
      • Pork sausage
      C2
      More
    • basin

      US /ˈbesɪn/

      UK /'beɪsn/

      • Noun (Countable/Uncountable)
      • A sink; a place in a bathroom to wash your face
      • Hollow place created naturally to contain water
      B1
      More
    • calculate

      US /ˈkælkjəˌlet/

      UK /'kælkjʊleɪt/

      • Transitive Verb
      • To find an answer using mathematics
      • To make an educated guess about something
      B2
      More
    • calculus

      US /ˈkælkjələs/

      UK /ˈkælkjələs/

      • Uncountable Noun
      • Branch of math dealing with rates of change, etc.
      C1
      More
    • change over

      US

      UK

      • Phrasal Verb
      • To switch from one thing to another.
      A2
      More
    • come along

      US /kʌm əˈlɔŋ/

      UK /kʌm əˈlɔŋ/

      • Phrasal Verb
      • To go with someone who takes the lead
      • To make progress toward a goal
      A1
      More
    • constant

      US /ˈkɑnstənt/

      UK /'kɒnstənt/

      • Adjective
      • Happening frequently or without pause
      • Remaining the same over time or not changing.
      • Noun
      • Thing that happens always or at a regular rate
      • A physical quantity that is believed to have a fixed value and is used in calculations.
      A2TOEIC
      More
    • curve

      US /kɚv/

      UK /kə:v/

      • Noun (Countable/Uncountable)
      • Smooth rounded line that is not straight
      • A distribution of statistical data represented graphically.
      • Transitive Verb
      • To make something bend into a rounded shape
      A2
      More
    • denominator

      US /dɪˈnɑməˌnetɚ/

      UK /dɪˈnɒmɪneɪtə(r)/

      • Noun
      • Bottom number in a fraction
      B2TOEIC
      More
    • derivative

      US /dɪˈrɪvətɪv/

      UK /dɪˈrɪvətɪv/

      • Adjective
      • Not from original ideas; from somewhere else
      B1TOEIC
      More
    • distance

      US /ˈdɪstəns/

      UK /'dɪstəns/

      • Uncountable Noun
      • Lack of friendliness toward another person
      • Noun (Countable/Uncountable)
      • Amount of space between two places or things
      • A point or place that is far away.
      A2
      More
    • engineering

      US /ˌendʒɪˈnɪrɪŋ/

      UK /ˌendʒɪˈnɪərɪŋ/

      • Uncountable Noun
      • The practical application of science to industry
      B1
      More
    • exact

      US /ɪɡˈzækt/

      UK /ɪɡ'zækt/

      • Adjective
      • Completely correct; accurate; specific
      • Transitive Verb
      • To get something, sometimes using force
      A2TOEIC
      More
    • for example

      US

      UK

      • Phrase
      • As an illustration or instance.
      More
    • for instance

      US /fɔr ˈɪnstəns/

      UK /fɔ: ˈinstəns/

      • Adverb
      • As an example.
      • Phrase
      • As an example.
      • As an illustration or case in point
      B1
      More
    • forecast

      US /ˈfɔ:rkæst/

      UK /ˈfɔ:kɑ:st/

      • Noun (Countable/Uncountable)
      • Prediction of some future thing, e.g. the weather
      • A prediction or estimate of future events, especially weather.
      • Verb (Transitive/Intransitive)
      • To predict some future thing, e.g. the weather
      • Alternative past tense and past participle of 'forecast'.
      B1TOEIC
      More
    • function

      US /ˈfʌŋkʃən/

      UK /'fʌŋkʃn/

      • Noun
      • Social event, or party such as a wedding
      • Mathematical operation used in calculations
      • Intransitive Verb
      • To serve a certain purpose or role
      • To be operating, working or achieving its purpose
      A2TOEIC
      More
    • gear

      US /ɡɪr/

      UK /ɡɪə(r)/

      • Verb (Transitive/Intransitive)
      • To aim at or prepare yourself for something
      • Noun (Countable/Uncountable)
      • A speed selector connected to an engine
      • Special clothes you use for a purpose
      B1
      More
    • generalize

      US /ˈdʒɛnərəˌlaɪz/

      UK /'dʒenrəlaɪz/

      • Verb (Transitive/Intransitive)
      • To apply a particular idea to a large group
      B2
      More
    • go back to

      US /ɡo bæk tu/

      UK /ɡəu bæk tu:/

      • Phrasal Verb
      • To return to a starting point
      A1
      More
    • in on

      US

      UK

      • Phrase
      • To be involved in a secret or plan.
      • To be aware of something that is secret or not generally known.
      A1
      More
    • in other words

      US

      UK

      • Phrase
      • Stating something in a different way, often to make it clearer or more understandable.
      More
    • in the world

      US /ɪn ði wɜrld/

      UK /in ðə wɜː(r)ld/

      • Phrase
      • Used to emphasize a question expressing surprise, confusion, disbelief
      • Used to indicate the extent or degree of something, often in a superlative sense
      A1
      More
    • in time

      US /ɪn taɪm/

      UK /in taim/

      • Adverb
      • Eventually; after a period of time.
      • Not late; with enough time to spare.
      • Phrase
      • Eventually; before it is too late.
      • According to the scheduled time; punctual.
      A1
      More
    • instead of

      US /ɪnˈstɛd ʌv/

      UK /inˈsted ɔv/

      • Preposition
      • When one thing is replaced by another
      • Adverb
      • As a substitute or alternative.
      A1
      More
    • into time

      US /ˈɪntu taɪm/

      UK /ˈɪntəʊ taɪm/

      • other
      • Over a period, involving a gradual process or change.
      B2
      More
    • invisible

      US /ɪnˈvɪzəbəl/

      UK /ɪnˈvɪzəbl/

      • Adjective
      • Being unable to be seen
      • Of money earned from services, instead of products
      B1TOEIC
      More
    • look at

      US /lʊk æt/

      UK /luk æt/

      • Phrasal Verb
      • To use your eyes to focus on something
      • To focus your eyes on something carefully
      A1
      More
    • maintain

      US /menˈten/

      UK /meɪn'teɪn/

      • Transitive Verb
      • To keep saying something a certain way
      • To keep (machine) working by checking, repairing
      A2TOEIC
      More
    • marginal

      US /ˈmɑrdʒənəl/

      UK /'mɑ:dʒɪnl/

      • Adjective
      • Very small; on the edge; not important
      B2
      More
    • naked

      US /ˈnekɪd/

      UK /ˈneɪkɪd/

      • Adjective
      • Not wearing any clothes; without covering
      B1
      More
    • no matter

      US

      UK

      • Conjunction
      • Regardless of; it does not matter.
      • Adverb
      • Regardless of; it is not important
      A1
      More
    • numerator

      US /ˈnu:məreɪtə(r)/

      UK /ˈnju:məreɪtə(r)/

      • Countable Noun
      • Dividend of a fraction
      C2
      More
    • on the line

      US /ɑn ði laɪn/

      UK /ɔn ðə lain/

      • Phrase
      • At risk; in a situation where something could be lost.
      • Having a great deal of responsibility.
      A1
      More
    • on the other hand

      US

      UK

      • Phrase
      • Considering a different aspect of the matter; alternatively.
      A1
      More
    • optimize

      US /ˈɑ:ptɪmaɪz/

      UK /ˈɒptɪmaɪz/

      • Transitive Verb
      • To make as effective as possible
      B2
      More
    • orbit

      US /ˈɔrbɪt/

      UK /'ɔ:bɪt/

      • Noun
      • Path an object takes as it circles another object
      • The sphere of influence or control; range.
      • Intransitive Verb
      • To go around another object (often in space)
      B2
      More
    • over time

      US /ˈovɚ taɪm/

      UK /ˈəuvə taim/

      • Phrase
      • Gradually; as time passes.
      • During a long period.
      • Adverb
      • Gradually; as time passes.
      B1
      More
    • point at

      US

      UK

      • Phrasal Verb
      • To aim (gun, etc.) at someone or something
      A1
      More
    • point in time

      US

      UK

      • Noun
      • A specific moment or instance when something occurs or exists.
      • A significant juncture or stage in history or a sequence of events.
      A1
      More
    • population

      US /ˌpɑpjəˈleʃən/

      UK /ˌpɒpjuˈleɪʃn/

      • Noun (Countable/Uncountable)
      • Number of people who live in a country, area etc.
      • A group of individuals of one species living in a particular area.
      A2TOEIC
      More
    • predict

      US /prɪˈdɪkt/

      UK /prɪ'dɪkt/

      • Transitive Verb
      • To guess or estimate what will or might happen
      A2TOEIC
      More
    • predictable

      US /prɪˈdɪktəbl/

      UK /prɪˈdɪktəbl/

      • Adjective
      • Capable of being guessed before it happens
      B1TOEIC
      More
    • previously

      US /ˈprivɪəslɪ/

      UK /'pri:vɪəslɪ/

      • Adverb
      • At an earlier time
      • In the past; formerly.
      B1TOEIC
      More
    • race

      US /res/

      UK /reɪs/

      • Noun (Countable/Uncountable)
      • Speed contest between people, animals or vehicles
      • People who share physical features or culture
      • Intransitive Verb
      • To take part in a running or swimming competition
      • To move or go at a very fast pace
      A2
      More
    • relationship

      US /rɪˈleʃənˌʃɪp/

      UK /rɪˈleɪʃnʃɪp/

      • Noun (Countable/Uncountable)
      • Connection between two or more people or things
      • Way people interact or live with each other
      A2TOEIC
      More
    • represent

      US /ˌrɛprɪˈzɛnt/

      UK /ˌreprɪ'zent/

      • Transitive Verb
      • To depict art objects, figures, scenes; to portray
      • To show or describe something in a particular way
      A2TOEIC
      More
    • respect

      US /rɪˈspɛkt/

      UK /rɪ'spekt/

      • Transitive Verb
      • To follow the established rules
      • To think very highly of another person
      • Noun
      • Behavior that follows the established rules
      • Regard or admiration for someone or something
      A2TOEIC
      More
    • slope

      US /sloʊp/

      UK /sləʊp/

      • Noun
      • Angle of a decline, e.g. where a road dips down
      • Surface on which people can ski
      • Intransitive Verb
      • To have one end that is not as high as the other
      B1TOEIC
      More
    • speed up

      US /spid ʌp/

      UK /spi:d ʌp/

      • Phrasal Verb
      • To move more quickly
      A2
      More
    • steep

      US /stip/

      UK /sti:p/

      • Adjective
      • Very expensive
      • Rising or falling very sharply, as a cliff or hill
      • Transitive Verb
      • To fill with a certain quality, e.g. history
      • To put a thing in a liquid for some time
      B1TOEIC
      More
    • straight

      US /stret/

      UK /streɪt/

      • Adjective
      • Not having curves, bends, or angles
      • Not gay; heterosexual
      • Adverb
      • in a line; immediately; honestly and directly
      • In a straight line; directly.
      A2TOEIC
      More
    • think of

      US /θɪŋk ʌv/

      UK /θiŋk ɔv/

      • Phrasal Verb
      • To look on as (being something specific); consider
      • To consider or remember something.
      • Verb (Transitive/Intransitive)
      • To imagine or call something to mind
      A1
      More
    • universal

      US /ˌjunəˈvɚsəl/

      UK /ˌju:nɪˈvɜ:sl/

      • Adjective
      • Existing in all places at all times for all people
      • Done or experienced by everyone
      • Noun (Countable/Uncountable)
      • Things which apply equally to everyone
      • A general term, idea, or concept applicable to many particular things.
      A2
      More
    • visualize

      US /ˈvɪʒuəˌlaɪz/

      UK /ˈvɪʒuəlaɪz/

      • Transitive Verb
      • To create a picture in your mind of something
      B1
      More
    • with respect to

      US /wɪð rɪˈspɛkt tu/

      UK /wið risˈpekt tu:/

      • Preposition
      • In relation to; regarding.
      • Phrase
      • In relation to; concerning.
      A1
      More
    • zoom

      US /zum/

      UK /zu:m/

      • Noun
      • Camera lens used to magnify images
      • Intransitive Verb
      • To move along or go somewhere very quickly
      B1
      More
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    01:03

    She took a brave step forward, leaving behind her comfort zone to chase her dreams.

    Vocabulary
    • brave

      adj. Having courage

    • comfort zone

      phr. A familiar situation where one feels safe

    Explanation
    a brave step is a noun phrase, where brave is an adjective modifying the noun step, meaning "a courageous step". forward is an adverb modifying step, meaning "ahead". The whole phrase serves as the object, answering the "what" of took (verb) — she took a brave step forward.

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    brave

    US/brev/
    UK/breɪv/
    adj.Brave
    v.t.To bravely face
    A2 Elementary

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    80
    B1US
    #slope#curve#x2#line#straight line#speed

    Calculus Is Overrated – It is Just Basic Math

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    Jasmine Chen cc posted on 2026/07/06
    Think calculus is just for geniuses? This video breaks down how it's actually built on basic math concepts like slope and limits, showing you real-world applications you might not expect! You'll boost your vocabulary with terms related to motion analysis and even learn a bit about Isaac Newton and Leibniz along the way.

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