2011 Calculus BC free response #6c | AP Calculus BC | Khan Academy
A1 A2 B1 B2 C1 C2
series
US / ˈsɪəri:z /
•UK / ˈsɪriz /
- noun
- Set of stories or articles on a particular subject
- other
- Number of things that happen one after another
divide
US / dɪ'vaɪd /
•UK / dɪˈvaɪd /
- verb
- To split numbers by another number, e.g. 6 / 2 = 3
- To separate something into equal pieces
imagine
US / ɪ'mædʒɪn /
•UK / ɪˈmædʒɪn /
- verb
- To think creatively about; form mental picture of
four
US / fɔ:(r) /
•UK / fɔr, for /
- number
- 4
clue
US / klu: /
•UK / klu /
- noun
- Information that helps explain something; hint
here
US / hɪə(r) /
•UK / hɪr /
- adverb
- In this place; at this location, position or time
khan
US / kɑ:n /
•UK / kɑn, kæn /
- other
- A title given to rulers or other important people in Asian countries
try
US / traɪ /
•UK / traɪ /
- noun
- Act of putting the ball over the rugby goal line
- verb
- To make an effort, to attempt to do something
- To examine someone or something in a court of law
- To test to see if it is good or you like it
- To make a person go through hardship; test
- To examine something to see if it works
ourselves
US / ɑ:ˈselvz /
•UK / aʊrˈsɛlvz, ɑr- /
- pronoun
- (Showing speaker is affected by their own action)
and
US / ənd /
•UK / ənd, ən,ænd /
- conjunction
- Used to refer to two or more things
- Plus; in addition; on top of that
- Used to introduce an action that follows another
back
US / bæk /
•UK / bæk /
- adjecitve
- Farthest from the front e.g. in a classroom
- adverb
- Have returned to a place you were before
- noun
- The part of a chair that the upper body leans upon
- Location at the rear of something
- The reverse of side something
- Area on the rear of your body
- verb
- To bet money on something
- To go backwards in a car
- To support and encourage someone or some cause
out
US / aʊt /
•UK / aʊt /
- adverb
- No longer stylish (e.g. fashion)
- Away from home, business, or the usual place
- In a direction/movement away from inside or center
- noun
- Act when a batter cannot continue playing
- verb
- To tell people a secret
over
US / 'əʊvə(r) /
•UK / ˈovɚ /
- adverb
- Finished; no longer happening
- Towards the ground/away from a standing position
- noun
- A set of six consecutive balls bowled in cricket
- other
- Finished
- preposition
- Showing the relation when a thing is above another
- On or covering something
- Above or across something
- More than you need
- From one side to the other
- In the direction of; toward
come
US / kʌm /
•UK / kʌm /
- verb
- To arrive at a place
- (Of mail) to be delivered
- To move toward someone; go with someone
- To reach a certain point or state
think
US / θɪŋk /
•UK / θɪŋk /
- verb
- To have an idea about something without certainty
- To have an idea, opinion or belief about something
another
US / əˈnʌðə(r) /
•UK / əˈnʌðɚ /
- adjecitve
- One more, but not this
- determiner
- One more added
- pronoun
- One more (thing)
academy
US / ə'kædəmɪ /
•UK / əˈkædəmi /
- noun
- School that specializes in certain subjects
could
US / kəd /
•UK / kʊd /
- other
- Past form of 'can' to mean have ability
- Used to ask for something politely, or to offer
negative
US / 'neɡətɪv /
•UK / ˈnɛɡətɪv /
- adjecitve
- Being harmful, unwanted or unhelpful
- In mathematics, being less than zero
- Focusing on the bad aspects; pessimistic
- noun
- The opposite to a positive electrical charge
- In grammar, containing words such as 'no' or 'not'
- Reply to a question or statement that means 'no'
- Image on camera film used to make a photo
see
US / si: /
•UK / si /
- verb
- To go on a date with someone
- To predict whether something is, or will be true
- To understand what someone says
- To use your eyes to look at something
- To visit a place often for sightseeing or pleasure
- To visit or meet with someone
- To find out by waiting or looking
- To watch (a game, movie or TV show)
fact
US / fækt /
•UK / fækt /
- noun
- Something that is known or proved to be true
messy
US / 'mesɪ /
•UK / ˈmɛsi /
- adjecitve
- Being complex or difficult to fix
- Being untidy or dirty
time
US / taɪm /
•UK / taɪm /
- noun
- Speed at which music is played; tempo
- Point as shown on a clock, e.g. 3 p.m
- Number of hours, minutes needed to do something
- Occasion when something happens
- Period or occasion that something occurred
- Period in history or the past
- Something measured in minutes, hours, days, etc.
- How long an event takes; duration
- verb
- To check speed at which music is performed
- To choose a specific moment to do something
- To measure how long an event takes, e.g. a race
- To schedule something to occur at a specific moment
why
US / waɪ /
•UK / hwaɪ, waɪ /
- adverb
- Question word to ask for a reason
- exclamation
- (Used to express surprise or approval)
well
US / wel /
•UK / wɛl /
- adjecitve
- Being in a fortunate, good condition or state
- Healthy and in good condition
- adverb
- In an acceptable, proper, or successful manner
- In a complete, total, or full manner
- A great and considerable degree
- In a successful way, in a good or satisfactory way
- exclamation
- Used to begin or continue a particular statement
- Used to show you want to start saying something
- Used to express that you are waiting for a reply
- You say this to change the topic of a conversation
- Used to indicate you are making a final remark
- noun
- Long deep hole in the ground to get water
- verb
- To cause your eyes to fill with tears
just
US / dʒʌst /
•UK / dʒʌst /
- adjecitve
- Proper or appropriate; as is deserved
- Doing or being what is right or fair
- Legally correct; having enough evidence
- adverb
- Almost; nearly
- Exactly at the time of
- Exactly (the same as, like)
talk
US / tɔ:k /
•UK / tɔk /
- noun
- Style of speaking
- Discussion between two countries
- Giving information in front of people; lecture
- Saying things or ideas to someone with words
- verb
- To make a formal speech about something
- To say things or ideas to someone with words
figure
US / ˈfiɡə /
•UK / ˈfɪɡjɚ /
- noun
- Your body shape
- Numbers in a calculation
- Doll-like thing meant to represent a person
- Picture or diagram giving information in a text
- Person who is very important or famous
- Shape of a person seen indistinctly or in outline
- Amount that is expressed in numbers
- verb
- To appear in a game, play or event
- To calculate how much something will cost
- To understand after thinking; work out
way
US / weɪ /
•UK / we /
- adverb
- Used to emphasize the amount of something
- noun
- Particular aspect of something being thought about
- One of various choices that could be made
- Particular existing condition or state
- (Often long) distance or length of time
- How something is done
- Route to go to a place
- Small street
- Usual behavior, emotions or habits of someone
approximate
US / ə'prɒksɪmət /
•UK / əˈprɑksəmɪt /
- adjecitve
- About; not exact but close
- verb
- To be similar to, but not exactly the same
they
US / ðeɪ /
•UK / ðe /
- pronoun
- Two or more people, animals, or things
very
US / 'verɪ /
•UK / ˈvɛri /
- adjecitve
- Concerning a large degree or amount
- adverb
- A lot; much; many
- Used to stress or emphasize a noun
take
US / teɪk /
•UK / tek /
- noun
- Filming of a single scene for TV or the movies
- verb
- To accept something that is offered
- To use a method of traveling, e.g. a bus or train
- To use a camera to make (a photo)
- To pick up something and go away with it
- To study a subject in school
- To attempt to pass (an exam)
- To require a certain amount of time, money, space
all
US / ɔ:l /
•UK / ɔl /
- adverb
- Completely; totally
- determiner
- Being every one of something
- pronoun
- 100% of something; the complete amount
its
US / ɪts /
•UK / ɪts /
- adjecitve
- Referring to or belonging to ‘it’
- determiner
- Of something; belonging or related to something
- other
- Possessive form of “it”
fourth
US / fɔ:θ /
•UK / fɔ:rθ /
- noun
- 4th
derivative
US / dɪˈrɪvətɪv /
•UK / dɪˈrɪvətɪv /
- adjecitve
- Not from original ideas; from somewhere else
look
US / lʊk /
•UK / lʊk /
- noun
- Person's beauty or physical attractiveness
- Particular style of dress, clothes, or appearance
- The way someone, something appears to be
- Act of searching for or examining something
- verb
- To appear to be; seem
simple
US / 'sɪmpl /
•UK / ˈsɪmpəl /
- adjecitve
- Not hard to understand or do; not complex
- Having only a few parts; not complex
- Being ordinary or normal
- Being plain; without a lot added for style
oppose
US / əˈpəʊz /
•UK / əˈpoʊz /
- verb
- To fight against someone in a contest or game
again
US / ə'ɡen /
•UK / əˈɡɛn /
- adverb
- One more time, once more
about
US / ə'baʊt /
•UK / əˈbaʊt /
- adverb
- To be ready to; going to
- Nearly; approximately; roughly
- Near; next to; close to
- In every direction; in the area of
- preposition
- Concerning or of (a topic)
care
US / keə(r) /
•UK / kɛr /
- noun
- Treatment you receive for your health or safety
- Something that a person worries about
- verb
- To feel interest, concern, or worry
- To look after someone or something
even
US / 'i:vn /
•UK / ˈivən /
- adjecitve
- Being equal in influence, power, possibility etc.
- Being divided equally or fairly
- (Of teams/contest) with similar chances of success
- Smooth, level, or regular
- Can be divided by 2; ending in 2, 4, 6, 8, or 0
- At a regular, equally steady manner
- Remaining steady and unchanging
- adverb
- (When this is surprising) as well; too
- (Used to compare two things/stress the difference)
- verb
- To make something level; to flatten
- To make something equal
sit
US / sɪt /
•UK / sɪt /
- verb
- To take an exam
- To be in a resting position on a chair
- To provide seating for people
- To remain in a still position while being painted
that
US / ðæt /
•UK / ðæt, ðət /
- adjecitve
- The person or thing being talked about
- Used to identify something both the speakers know
- adverb
- Used to reinforce adjectives and adverbs
- To such a degree
- conjunction
- Used to connect a noun clause
- Used to introduce an adverbial clause
- Used to introduce a noun clause
- determiner
- Used as a noun to refer to something
- pronoun
- Referring an object far away
- Used to refer to the relative pronoun ‘which’
what
US / wɒt /
•UK / hwɑt, hwʌt, wɔt, wʌt,hwət, wət /
- pronoun
- Thing or things that; the same kind as
- Used to emphasize something you are about to say
- adjecitve
- Used to refer to a particular amount, or number
- Used to place emphasis on a particular quality
- adverb
- To a certain degree
- determiner
- Question words used for asking for information
- exclamation
- Used to express excitement, shock, or surprise
- Used to ask people to repeat something they said
remind
US / rɪ'maɪnd /
•UK / rɪˈmaɪnd /
- verb
- To cause someone to remember what they forgot
each
US / i:tʃ /
•UK / itʃ /
- determiner
- Every one of two or more things
- pronoun
- Per one person or thing
first
US / fɜ:st /
•UK / fɚst /
- adjecitve
- 1st; Coming before all others in time or place
- noun
- Something that has not happened before
- Position of the winner of a competition
second
US / 'sekənd /
•UK / ˈsɛkənd /
- adjecitve
- 2nd; the one following first
- noun
- Unit of time; one sixtieth of a minute
- Short period of time that you wait for someone
- (Do) soon
- verb
- To agree to support a proposal at a meeting
must
US / məst /
•UK / mʌst /
- noun
- Something that is necessary or required
- other
- (Used to state that something ought to be true)
- Used to say something is required or necessary
then
US / ðen /
•UK / ðɛn /
- adverb
- A time that is not now
- Following another thing in time or arrangement
- Following on reasonably from what was just stated
- At that time, not now
depth
US / depθ /
•UK / dɛpθ /
- noun
- Distance below a surface
find
US / faɪnd /
•UK / faɪnd /
- noun
- Object discovered by chance
- Things that have been discovered from searching
- verb
- To become aware of something that is happening
- To discover or meet by chance
- To decide if someone is guilty of a crime, or not
- To learn through study, research, or effort
- To discover something by looking for it
right
US / raɪt /
•UK / raɪt /
- adjecitve
- Correct or true
- The south side of you looking at the rising sun
- adverb
- Exactly in a place or time
- Being appropriate for a particular event
- In a straight or direct manner
- noun
- Something you are legally or morally allowed to do
- Ideal of what is just and good
- Political view based on conservatism
- verb
- To fix something previously wrong or unjust
- To make upright, as a boat that has turned over
value
US / 'vælju: /
•UK / ˈvælju /
- noun
- Importance you attach to something
- Some information expressed as a number
- Stated price of something; worth
- verb
- To place a high importance on something
- To say how much money something is worth
square
US / skweə(r) /
•UK / skwɛr /
- adjecitve
- Being fair or honest
- Multiply a number by itself e.g. 2x2 or 6x6
- noun
- Shape with 4 equal length sides and 4 equal angles
- The result of multiplying Length by the width
- Open public area in the middle of the town
- verb
- To make something balance or be equal
- To multiply a number by itself, e.g. 2x2 or 6x8
- To straighten the edge to form a four-sided shape
tell
US / tel /
•UK / tɛl /
- verb
- To (strongly) advise a person to do something
- To be able to guess
- To say or communicate information to someone
- To inform, but without speaking; indicate
- To have a negative effect on someone
- To order someone to do something; command
- To recognize something based on certain signs
- To report something to an authority
- To explain something or teach someone something
definition
US / ˌdefɪˈnɪʃn /
•UK / ˌdɛfəˈnɪʃən /
- noun
- Explanation of word's meaning, as in dictionaries
- The sharpness of an image on a screen
- Visual clearness in a photo or on a screen
equal
US / 'i:kwəl /
•UK / ˈikwəl /
- adjecitve
- Same in shape, size, or number
- verb
- To add up or be the same as
become
US / bɪ'kʌm /
•UK / bɪˈkʌm /
- verb
- To begin to be; grow to be; develop into
- To be suitable for a particular job or role
but
US / bət /
•UK / bʌt,bət /
- conjunction
- Used before you say something different, opposite
our
US / 'aʊə(r) /
•UK / aʊr /
- determiner
- Belonging to us
would
US / wʊd /
•UK / wʊd /
- other
- Used to indicate something imagined
- Used to ask or request something politely
- Verb used to indicate possibility, request etc.
- Used to indicate a preference
- Used to indicate a reaction
- Indicates something that occurred repeatedly
- Used to indicate willingness or ability to do
video
US / 'vɪdɪəʊ /
•UK / ˈvɪdiˌo /
- adjecitve
- Of a moving film, with sound
- noun
- Recording capturing action with sound
- verb
- To make a moving film of, with sound
want
US / wɔnt /
•UK / wɑnt, wɔnt /
- noun
- Something you desire or wish for
- State or condition of poverty
- verb
- To desire or wish for something; hope for a thing
sixth
US / sɪksθ /
•UK / sɪksθ /
- noun
- 6th
you
US / jʊ /
•UK / ju /
- pronoun
- Person someone is speaking or writing to
- Person or people in general
answer
US / 'ɑ:nsə(r) /
•UK / ˈænsɚ /
- noun
- Reply to a question someone asks
- Solution to a problem or test question
- verb
- To reply to a question someone asks
- To solve a test question or a problem
coefficient
US / ˌkəʊɪˈfɪʃnt /
•UK / ˌkoʊɪˈfɪʃnt /
- adjecitve
- Number by which another number is multiplied
make
US / meɪk /
•UK / mek /
- noun
- Product made by a particular company; brand
- verb
- To arrange or prepare something e.g. dinner
- To get to (a place) on time
- To gain the status of (teacher, lawyer, etc.)
- To create something by putting things together
- To earn a certain amount of money at a job
- To cause or force a person to do something
- To cause something to happen or be formed
big
US / bɪɡ /
•UK / bɪɡ /
- adjecitve
- Popular
- Serious
- Large
factorial
US / fækˈtɔ:riəl /
•UK / fækˈtɔriəl, -ˈtor- /
- adjecitve
- Concerning factors or factorials
let
US / let /
•UK / lɛt /
- verb
- To allow someone to do something
- Introducing a suggestion to do something together
- To rent a house, etc. to others
might
US / maɪt /
•UK / maɪt /
- other
- Used to politely request an action
- Used to express that something could happen
- Power, strength, force or influence
the
US / ðə /
•UK / ðə /
- article
- Used to refer to something already mentioned
- Used to show there is only one of something
- determiner
- Used to describe all of a family
this
US / ðɪs /
•UK / ðɪs /
- adjecitve
- Used to indicate something already been discussed
- Used to indicate something happening around now
- adverb
- An indication by a physical motion or gesture
- A specific amount of
- determiner
- Person, thing, or idea near you
- pronoun
- Person, thing that has already been discussed
able
US / 'eɪbl /
•UK / ˈebəl /
- adjecitve
- Skilled; good at something
- Having the ability to do something
term
US / tɜ:m /
•UK / tɚm /
- noun
- Conditions applying to an agreement, contract
- Length of time something is expected to happen
- Fixed period of weeks for learning at school
- The (precise) name given to something
- verb
- To call; give a name to
into
US / 'ɪntə /
•UK / ˈɪntu /
- preposition
- Moving or going inside something
- In the same direction as; in the direction of
- So as to become; taking the state of
approximation
US / əˌprɒksɪˈmeɪʃn /
•UK / əˌprɑksəˈmeʃən /
- noun
- Something that is similar, but not an exact copy
taylor
US / ˈteilə /
•UK / ˈtelɚ /
- proper noun
- A city in southeastern Michigan, southwest of Detroit; population 60,619 (est. 2008).
forever
US / fər'evə(r) /
•UK / fɔrˈɛvɚ, fə- /
- adverb
- For all future time; in the future
keep
US / ki:p /
•UK / kip /
- noun
- Large, strong tower in the middle of a castle
- Money spent on you so you can live in a place
- verb
- To continue doing something; not to stop
- To stop balls going in a goal in sports
- To not give back or return something
- (Of food) to not spoil or not rot
- To take possession of something to own, e.g. a pet
- To have and continue to hold something
- To do something that you have promised or agreed
- To stay in a certain place or condition
- To maintain the rules
rest
US / rest /
•UK / rɛst /
- noun
- Time when one relaxes, sleeps, or is inactive
- State in which there is a lack of motion
- Part of something remaining after some was used
- verb
- To stop working or avoid activity to recover
- (Of dead person) to lie in a grave
- To lean, support or place something against
- To not be tired because you had enough sleep
where
US / hwɛə /
•UK / hwɛr, wɛr /
- conjunction
- At or in the place which
- In whatever place
- pronoun
- Word you use to ask the location of something
with
US / wɪð /
•UK / wɪð, wɪθ /
- preposition
- As an employee of a certain company
- Against something or someone
- By using something as a means
- Due to; because of
- Including
- Possessing as a feature
- Related to
- (Of the manner/attitude by which you do something)
- Used to express that people or things are together
problem
US / ˈprɒbləm /
•UK / ˈprɑbləm /
- adjecitve
- Causing trouble
- noun
- Something difficult to deal with or causes trouble
- Question to show understanding of a math concept
center
US / 'sentə /
•UK / ˈsɛntɚ /
- noun
- Community place people go health or social reasons
- Place in the middle of something
- Person or thing that is attracting attention
- verb
- To direct focus toward something
prime
US / praɪm /
•UK / praɪm /
- adjecitve
- Concerning the highest in quality or value
- Concerning the highest level of achievement
- Most important, chief importance in value
- verb
- To get a person ready for; prepare someone
- To coat with paint to prepare it for the main coat
have
US / həv /
•UK / hæv /
- verb
- To drink, smoke, eat or use something
- To experience the effects of something
- To organize an event, or join in an activity
- To own, possess, or hold something
- To cause to happen or produce a particular effect
last
US / lɑ:st /
•UK / læst /
- adjecitve
- Most recent; the latest
- The one before
- adverb
- Final; with nothing following; after all others
- Most recent; the latest
- determiner
- The one at the end
- verb
- To remain or continue for a certain period of time
part
US / pɑ:t /
•UK / pɑ:rt /
- adjecitve
- To some degree; half; not fully
- noun
- Division of a book
- Ratio of something, e.g. 3 of gin, 1 of tonic
- A line in a person's hair, made with a comb
- Character an actor plays on stage, movie, or TV
- Some, but not all of a specific thing
- Role in causing something to happen
- verb
- To make a line in a person's hair, by using a comb
- To move two things apart creating a space
- To leave someone, or to break off a relationship