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LESSONS VIRTUALLY ANYWHERE: Bay Area /
CALL or
TEXT No customer service staff - You talk directly to me, the tutor. SKYPE: https://join.skype.com/invite/eIEkRAmxUsou ZOOM: https://us04web.zoom.us/j/7278731894?pwd=dGNyZkJ4WTdFREIxVkJOTlMvcTFxUT09
Yes, It’s Very Good
Tutoring I teach
the SAT, ACT, and math FULL-TIME. Over the past 11 years I have personally
taught and tutored more than 2000 students in school classrooms, conference
rooms, and over conference calls. I have personally taken more than 60 SAT
exams and 40 ACT exams. I have taught in several California
Bay Area middle and high schools, including math and AP Computer
Science at a high performing Bay Area high school. You will
also not get a “talking textbook” who simply reads off a solution / answer
that you could have just read on your own. You though
you were getting private tutoring, but it’s actually a small group of
students. >> NO wasted lesson time
that you paid for Other
tutors waste valuable lesson time by starting
lessons late and ending early, going over material you already know,
reading over questions and thinking of explanations before teaching the
students ( because they haven’t seen those questions before ), talking very
slowly, taking breaks. Because
it’s impossible to predict how quickly or slowly a SAT / ACT class will move,
every tutoring company pads leftover
time with filler busy-work where
no teaching happens. Suddenly
that cheap tutoring wasn’t so cheap anymore. And that expensive tutoring just
got a lot more expensive.
With
other places, when you signed up you got Tutor Jenny. But Jenny quit after a
few weeks, and now you end up with Tutor Fred who is just not as good. Also with
tutoring companies you get rotating tutors: Tutor Jenny one day, Tutor Sam
the next day. They don’t know you that well, and don’t know what you have
already learned and covered. With me,
you get a seamless continuity from lesson to lesson. I know what your problem
areas are, aI know what we did last time, and I
know what we will be doing this time.
Students & Parents turn to me because other SAT ACT courses
and tutoring just don’t work With other places you get inexperienced tutors, awful teaching,
terrible explanations, only partial review of the concepts being tested, and
incorrect tips and strategies. I have personally taught and tutored the SAT & ACT to more
than 2000 students over 11 years. I am a professional credentialed high
school teacher, and my full time job is taking and teaching the SAT &
ACT. I've taken more than 40 SATs and 35 ACTs
myself. You simply will not find anyone who knows these tests and questions
better or has better teaching skills than I do with my years of high school
classroom and tutoring experience. As an Advanced Placement course teacher,
my students have only once chance to pass the high stakes AP exams, where the
best teaching is critical. You will learn the RIGHT way ( and the
wrong ways) to solve every problem on the SAT & ACT, not though guessing
/ strategies / tips / tricks / random luck. I will teach you things you cannot and will not learn from books,
self study courses, or other tutors: 1) how you compare to other students and how you are doing 2) what you are doing wrong, especially when you thought you
were doing it right 3) thinking, analyzing, and problem solving skills that you
didn't know are necessary to solve the questions 4) every lesson & course is adjusted in real-time based on
the student’s comprehension level 5) proper reading comprehension techniques so you understand
what the passage says 6) actual English Grammar so you can identify the grammar errors 7) a thorough review of all the Math you had no idea you didn't
know 8) science data analysis techniques and background material (
ACT only ) 9) the right way to write a compelling
high scoring essay for the SAT / ACT essay writing portion. 10) Real SAT and ACT exams, not fake ones 2) Math All Grades
K-12 Middle School & High School: Pre-Algebra, Algebra, Geometry, Algebra
2, Trigonometry, Pre-Calculus LEARN THE MATH YOU WERE SUPPOSED TO LEARN BUT DIDN’T BECAUSE OF
COVID19. We all know the pandemic pretty much
destroyed any learning the past 2 years. Students have fallen behind and they
have a lot to catch up on. Remote learning simply doesn’t work well for high
school classes. HOWEVER, Private Tutoring is a totally different story. Students
gain what they can’t from school online classes. I’ve been doing online
lessons since 2010, well before the pandemic came around, and I have this
down to a science!
- I will analyze & diagnose your
thinking and problem solving to determine what you are doing wrong so it can
be fixed. - Review the material you have done in
class - Make sure you understand the
material that was covered in class and teach you what your teacher did not - Teach you new material if you want
to get ahead - Assess and check your understanding
by giving you problems to work on - Reinforce your understanding by
giving you practice problems and drills - Give you some reinforcement homework
if needed - What
you learn goes beyond just math: real critical
thinking, problem solving, analytical
skills, organizational and proper study skills
necessary to succeed in college and in life. These are lessons that you do
not learn in school or from textbooks. - I will
challenge students to think so that they understand not only WHAT to do but
also WHY they are doing it. 3) English - Essay
writing / essay planning / research reports / term papers 4) College
Application Essays 5) Academic Success /
Study and School Skills Drowning in schoolwork and extra
curricular activities? Feeling helpless because you can’t take it all on?
Balancing and prioritizing your life is a key foundation to doing better in
school and not feeling overwhelmed. Learn how to take control and get
organized so you get things done and have a plan.
Students who already
took another SAT or ACT course and then come to me still increase their SAT
& ACT scores significantly
Many colleges are dropping the SAT
and ACT as an admission requirement because it’s “biased”, “racist”, “keeps
out low income qualified students”, and “doesn't predict college success”? Nope.
Colleges are in fact big business, and dropping the exams
has become a political issue, not an academic issue. April 10, 2021: As
predicted, dropping SAT & ACT testing requirements only means that
more students can apply to any college. Since the number of
vacant spots do not increase, it means a lower acceptance rate for all
colleges. Worse yet, since pretty much everyone has a 4.0 GPA anyways, grades
don’t really mean anything. |
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You will improve your Math and SAT
ACT scores to the maximum possible of your understanding
Just one
of many high scores of my students The results speak for themselves Congratulations!
Congratulations!
No false claims. Proof right here:
Just one of my many students. Congratulations Kathy!
Teaching the SAT &
ACT the Exceptionally Talented
& Experienced FULL-TIME SAT & ACT Teacher >> Logistical Details: ONE
TUTOR = A consistent, coherent, seamless course from beginning to end From the
beginning, you know who you are working with. Since the SAME PERSON developed
and wrote the study materials, planned out the course, does the teaching,
knows the student and their personal learning style, assesses the student’s
ability and performance, and receives feedback from the student, you get a
UNIFIED, COHERENT, CONSISTENT tutor and course. No material is repeated. GO
SEAMLESSLY from Topic to Topic - No separate teachers for each portion of the
test, and NO separate GO
SEAMLESSLY from SAT to ACT or ACT to SAT- No wasted time covering stuff you
have already done. Want to
know how your kid is doing? Other places give you a computerized printout. If
you call them, you will just talk to the office receptionist. You have
access to the tutor directly 7 days a week to find out how your kid is doing.
Just text! >> Unmatched depth of knowledge, experience,
and skill I am a
professional credentialed high school teacher who taught AP Computer Science
at a very competitive California Bay Area high school. I have
personally taken more than 40 SATs and 30 Acts ( over 210 hours of test
taking alone ) to analyze what is being tested. Because I
have taken analyzed so many exams, I
know what WILL show up, and what will NOT show up, so students don't waste
time learning unnecessary material My
full-time job 7 days a week for over 9 years has been teaching the SAT &
ACT- not 5 hours a week, not 10 hours a week, but every day all day long. I have
taught for various tutoring and test prep companies, and even trained other
tutors how to teach. My
courses and lessons are WELL-REHEARSED, MISTAKE FREE, and EFFICIENT because I
teach SAT & ACT problems every day. Every
lesson and explanation has been taught, refined, and re-taught SEVERAL
HUNDRED TIMES. Yes, I kid you not. >> Your lesson with me is
MANY YEARS IN THE MAKING, and is just the tip of the iceberg Attention
to detail: Everything matters, and there is a It takes
time to do things right. Just as with any well-rehearsed performance,
tutoring is not something you can just walk into. 1)
Several months are spent taking more than 40 SATs and 30 ACTs
( 3 hours a test x 70 = more than 210 hours ), and new ones as they become
available. 2) Weeks
are spent analyzing reverse engineering every test question and developing
proper solutions and explanations ( figure about 3 – 10 minutes per question
) 3) Each
solution to a problem is explained and taught to HUNDREDS of students with
live feedback, then reviewed and refined and
memorized. 4)
Several months are spent creating, writing, developing, and updating course
materials ( more than 200 pages of material ). 5) Before
each lesson, a customized lesson plan is put together just for that student 6) Actual
lessons are provided to students <<
( the part that you know about ) No
part-time tutor working only 5-15 hours a week is going to invest more than
200 hours taking tests, memorize questions, or have the experience of
teaching and refining solutions and
explanations Many people are not aware of the hard work, time, and energy
involved in creating the high quality courses that have given me my
reputation. It is
impossible for anyone, no matter how smart or brilliant, to walk-in and
suddenly become a tutor. What’s the result? Not knowing what they are doing,
confusion, inability to solve problems, answering questions wrong, and
reciting from an Instructor's Manual. >> Assessing student
performance and needs Parents
all think that their kid has some special unique situation. I’ve worked with
thousands of students, and I have seen pretty much all the types of “unique
situations” there are. There aren’t that many. There is
no need to tell me “my kid needs work on this area, and she’s good in that
area” and “my son is the type of person who tends to...” Don’t
worry- I know exactly what needs to be done. You’re dealing with a
professional, not someone who just started doing this. >> Real Teaching, Real
Learning I don’t
just recite from an instructor’s SAT ACT manual while the student stares at a
binder or a bunch of handouts ( talking textbook ). Students do not learn by watching and
listening to a teacher or tutor. In order to do what it takes on the SAT or
ACT, students need to DO the problems until they know it in and out. I teach,
and students will learn, the actual concepts and knowledge underlying the ACT
or SAT: real math
review, real English Grammar, actual reading comprehension skills, essay writing skills, scientific thinking
and analysis skills ( for the ACT ) - Total
understanding of every SAT or ACT reading passage, how to properly read, and
how to answer the questions. -
Complete understanding of how to solve every SAT or ACT math problem, and all
the math knowledge underlying every question. - Total
understanding of every grammar / English question, and the grammar rules
behind every answer. - How to
properly read and understand and interpret scientific data, charts, graphs
and experimental design for ACT Science. - The
right way to write the SAT / ACT essay, what you should write about, how you
should write it. Teaching
is NOT just sitting there correcting a test and GOING OVER THE WRONG ANSWERS.
What is
real teaching then? ( Other
tutors and test-prep companies – TAKE NOTE HERE. I do have a “Teach the Teacher Program” if
you want me train your instructors / tutors. I’ve worked with many public
schools and tutoring companies as a teaching consultant. Please email me for
further information ) - Based
on your abilities and deficiencies, I check and verify your problem-solving
to uncover questions you got right the WRONG way ( wrong logic/ luck /
guessing ). - Real
teaching mean knowing WHAT questions to ask the students - I ask
students questions ( students usually won’t ask ) to uncover mistakes - I don’t
just give answers but I will challenge students to think so that they
understand not only WHAT to do but also WHY they are doing it. I’m not
just teaching SAT & ACT. What you learn goes beyond these exams: real
critical thinking, problem solving, analytical skills, organizational and
proper study skills necessary to succeed in college and in life. These are
lessons that you do not learn in school or from textbooks. I will
challenge students to think so that they understand not only WHAT to do but
also WHY they are doing it.
I analyze
every student as we go, so I know where a student’s deficiencies are. No
slow-talking, boring lectures here. I move at the pace you need: faster or
slower Because I
have ALL of the material and more than 6000 questions memorized, the course and
lesson content and speed are actually CUSTOMIZED & ADJUSTED IN REAL-TIME
for each student, and even the explanations are customized to the level of
each student, something simply NOT POSSIBLE with any other tutor or with a
pre-structured course ( example: 3 Math lessons, 2 Reading lessons, 2 Essay
lessons ). We will
spend more time on areas that need more work, and allocate less time to
higher scoring areas. Unlike
other places that have a rigid course, my courses and lessons are CUSTOMIZED
IN REAL-TIME. If
students are scoring high in certain areas, the lessons will automatically
adjust and adapt to focus on a student's weak areas, without sacrificing the
strong areas. Some
students are struggling and won’t be able to learn the more advanced concepts.
We skip those and focus on where the student can get the points. I also
adjust the difficulty of the material for each student, thus MAXIMIZING
SCORES >> The RIGHT & Students
who score high on the SAT & ACT are actually good at solving the
problems, NOT because they know a few tricks and strategies. EVERY
SINGLE test question has been repeatedly analyzed, solved and explained to
hundreds of students, then re-checked to find the best possible methods. -
Explanations and solutions that are CLEAR, SIMPLE, DIRECT, and RIGHT. The
explanations are even adjusted JUST FOR YOU so you can understand. My
students learn the clearest, most direct, and CORRECT solution to each
question, and also learn what NOT to do. That also
means this: YOU DON’T JUST GO OVER THE QUESTIONS A STUDENT GOT WRONG. Many
students “got the right answer” as a result of luck / chance / guessing. I
actually know the problems and solutions better than College Board & ACT
Inc themselves, who only write the questions and BUT DON’T SEE HOW STUDENTS
SOLVE THEM. It’s impossible for them to know the wide variety of creative
guessing techniques that students will use to get the questions right by
luck. I’ve worked with thousands of students and seen pretty much every type
of mistake made. Students
can get a question wrong on several different levels, and without knowing
what is happening, students will not get better. It’s not
just a simple matter of “I don’t remember geometry”. That’s why those
computerized diagnostics test prep companies love to give are USELESS More than
80% of the time, students ARE NOT getting questions wrong because they don’t
know the math. What is going wrong is far beyond “Oh, I just need to review
these concepts”: they lack the problem
solving and critical thinking skills that OTHER PLACES SIMPLE DO NOT TEACH. Most
students even don’t know THAT they
are doing something wrong Other
students simply just don’t WHAT they are doing wrong. As we go
through problems, I will ANALYZE and DIAGNOSE what students are doing WRONG
in their approach and thinking, and make corrections. There is
a fundamental difference in the thinking of students who answer questions
correctly and those who answer wrong or get lucky. That's
why just explaining a problem ( self-study using a book or watching
videos ) is not effective. That is
also why just taking practice test after practice test without tutoring will
yield no further improvement beyond the practice effects of test-taking. (
That training method is only for students building endurance and who are
scoring 1500+ / 33+ who want a perfect 1600 / 36 ) >> I push EVERY student
mentally to the MAXIMUM of their ability in order to get EVERY LAST POINT This
isn't like taking golf lessons or cooking classes. You will be taken to the
limit of your mental ability. Very few
students have the discipline to "study" on their own. I am that
coach that pushes them to do more. Parents –
it won’t work coming from you. Based on
my extensive experience, I can tell you realistically what kind of score you
can get. I adjust
the lessons and take you as far as you can go. If you don’t improve with me,
you won’t improve with anyone else. >> 100% COMPLETE coverage of
all the concepts that will be tested – No more, No less Ever
wonder why your kid has good grades and yet bad test scores? The SAT
& ACT are designed to test specific problem solving abilities and
material that are not learned in high school classes. These
skills go to a DEPTH of analytical ability and critical thinking that most
students usually are NOT accustomed to except for the high scoring
test-takers. Getting
ready for these exams is like training for a triathlon. It’s a very different
approach. - Total
understanding of every SAT or ACT reading passage, how to properly read, and
how to answer the questions. -
Complete understanding of how to solve every SAT or ACT math problem, and all
the math knowledge underlying every question. - Total
understanding of every grammar / English question, and the grammar rules
behind every answer. - How to
properly read and understand and interpret scientific data, charts, graphs
and experimental design for ACT Science. - The
right way to write the SAT / ACT essay, what you should write about, how you
should write it. Unless
your tutor has taken at least 10 of the new SATs or ACTs
( and that’s 98% of the tutors out there ) they can’t possibly to know all
the types of questions and material tested on the SAT & ACT. Because I
have actually spent all that time taking and analyzing that many tests for
many years, I know what will be tested and will not, and I make sure you
know. My
curriculum covers a COMPLETE, COMPREHENSIVE, IN-DEPTH 100%. I know what WILL
show up, and what will NOT show up, so students don't waste time learning
unnecessary material. All the
curriculum review materials have been written by me personally ( Yes – I
provide all the review materials to the students, and NO, it’s not 500 pages
of useless material ), and cover ONLY WHAT you need to know. Nothing more,
and nothing less >> Real SAT & ACT
practice exams only You need
to practice from the real exams. Why? Because the SAT & ACT questions are
written in a very specific way and test very specific problem solving logic.
Those fake SAT & ACT exams in books and given by other test-prep
companies might look the same, but fundamentally test something different. If you
are trying to get good at basketball, playing soccer just isn’t the same. >> NO LESSON TIME WASTED I have
literally memorized more than 50 HOURS OF TEACHING MATERIAL, making it
possible to skip forward or backward or go to any point of ANY LESSON at ANY
TIME. I can
skip right to the parts you need work on, without wasting lesson time going
over stuff you already know. No
student ever has to sit there wasting time going over material that they
already know. Even more
importantly, since I have the questions and answers memorized, NO TIME IS
WASTED reading over the question, thinking of a solution, then trying to
teach it. I can answer instantly. |
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The false claims,
deceptive marketing, and teaching / curriculum problems with all the other
tutoring & test prep places What you THOUGHT you knew but
DON’T know about SAT & ACT test-preparation and tutoring:
If all
tutoring for the SAT & ACT was the same, logically you would just choose
the cheapest place. Unfortunately SAT & ACT courses and tutoring are
vastly different, and many tutoring and test prep companies lie and deceive
unwitting parents and students with clichés and buzzwords: FALSE “SCORE
IMPROVEMENT GUARANTEES”, FAKE “AVERAGE SCORE INCREASES”, and UNSUBSTANTIATED
claims of “BEST TUTORS” “ELITE INSTRUCTORS” “PROVEN METHODOLOGIES”
“GUARANTEED RESULTS”.
If you
are just looking for some cheap ( or outrageously overpriced ) tutoring, to
just "bump up SAT and ACT scores a little bit”, "get a few
test-taking strategies", or take test after test after test without any
teaching, then THIS ISN’T THE RIGHT PLACE FOR YOU. If you
want an inexperienced part-time tutor who never took the SAT or ACT, doesn't
have a structured course plan with review materials and handouts, can’t
actually solve the questions, gives WRONG test-taking strategies, or uses
fake SAT and ACT exams, then STOP. LOOK NO FURTHER. You should Google “SAT
tutoring” or “ACT prep classes” and go elsewhere.
Did you
know how your tutor was recruited? Probably a Craigslist ad just like this
one Anyone can be a “tutor” and start
tomorrow Unlike
becoming a teacher, lawyer, doctor, or accountant, THERE IS NO MINIMUM JOB
QUALIFICATION / CERTIFICATION / LICENSING REQUIRED to get hired as a tutor /
instructor other than “I think tutoring would be a flexible and fun part-time
job”. In fact, many people BECOME tutors for this exact reason: they do not have the necessary job
qualifications to get hired on for another job... But yet
MORE THAN 90% ( yes 90% ) these so called “Best Tutors” “Ivy-League
Graduates” “Perfect SAT 1600 / ACT
36 test-takers” “Top Instructors”
“Elite Teachers” “PhD professors” of SAT ACT tutors / instructors have NEVER
TAKEN the SAT or ACT themselves, cannot solve all the problems and can’t
explain to students ( don’t worry, there’s a handout you can read or just
Google it ), or just don’t know what they are doing ( don’t worry, those
companies just give tutors a teacher’s manual to read from )
Worse
yet, they use fake SAT ACT exams ( which are nothing like the real tests and
don’t even test the same concepts ), cover only a part of the SAT or ACT
exam, provide INCORRECT & FAULTY solutions to problems, and give students
WRONG “test taking strategies, tips, tricks” which ACTUALLY get questions
WRONG. If you
are a parent reading this now, and you think that test taking strategies will
increase your kid’s score and that’s what you are hoping your kid will learn
from a tutor, then I will save you some money now and tell you to just Google
“test-taking strategies” for free. You don’t need to spend money on a tutor. On top of
that, you don’t even get what you paid for. With valuable lesson time wasted
moving slowly, repeating material you already know, and sitting around doing
practice tests and other busy work ( something you can do at home for free ),
you realize that something isn’t right. The sad
truth is that most of the tutoring and test prep out there is so awful, you
are actually better off buying a book and doing self-study and saving your
money, or doing the free
Teaching is very serious matter.
You can’t just decide one day you want to be a tutor and just start tutoring. If it was
so easy then everyone could do it, and you could tutor your own kid and save
some money. Every
year unwitting students endure months of useless tutoring and classes for the SAT
& ACT while their parents throw away thousands of dollars
with little improvement, only to have to pay for a second or even third
SAT / ACT course.
“I didn’t
learn a thing in that class” “My SAT
scores stayed the same” “The
instructor didn’t know how to solve the question” “All they
taught me were some test-taking strategies” "It
was a complete waste of time." "The instructor couldn't
teach." "What
they told me was wrong." "The
real test was nothing like what we did in class." Spending thousands of dollars and
months of time sitting through SAT or ACT classes is bad enough. Doing it a
SECOND TIME because the first course was a waste of time is even worse.
Teaching
the SAT & ACT is not as simple as deciding one day that you need a
part-time job, seeing a Craigslist job posting, and just walking into a
classroom to teach. It's actually something that takes years ( yes, YEARS) of
practice, taking SATs and ACTs, and working
with thousands (yes, THOUSANDS) of students to get good at. Many parents and students learn a
real life financial lesson after wasting valuable time and money on SAT &
ACT courses which result in little to no improvement in SAT or ACT scores. No false claims. Proof right here:
This student spent $1500 on a class
No false claims. Proof right here:
Just one of my many students. Congratulations Kathy! In order to understand HOW we are
so good, you need to understand WHY those other places are so bad. THE PROBLEMS WITH THOSE OTHER
PLACES: Most tutors & instructors
don't know what they are doing and there are many Why?
Those other tutors & test prep places have inexperienced part-time tutors
who never even took the SAT or ACT, can't solve the problems themselves, lack
the ability to explain and teach, and just don't know what they are doing.
You would actually better off saving your money and buying a few books.
Really. >> Inexperienced,
Unqualified, Incompetent tutors /
instructors who can not teach confusing
explanations, WRONG & INCORRECT solutions and explanations >> Instructors / tutors who
never took the SAT or ACT and can’t solve the question themselves and can’t tell you what will
and won’t be tested on the SAT & ACT. Common sense should tell you that
no one can teach something that they haven't taken themselves. And certainly
no one should be teaching something when they can’t even solve the problems! >> Random tutors and tutors
who leave You
thought you were getting one tutor, but you ended up with another tutor.
Classic bait and switch. Secondly, when there are multiple tutors working
with the same student, it becomes a disorganized mess where the next tutor
has no idea what has already been done and what still needs to be done. Part-time
seasonal tutors are just that: They work during Summer Break or Winter Break.
They quit when they want, or go on vacation, or go off to college or graduate
school. Your kid still has several weeks to go, but suddenly your tutor is
gone. - PART-TIME TUTORS It is
IMPOSSIBLE for any person, no matter how smart or brilliant ( even someone
scoring 2400 or 36 in one try without studying), to have the time to prepare
and review what is required to properly teach the SAT or ACT just by working
part-time 5 – 10 hours a week. - TUTORS WHO NEVER EVEN TOOK THE
SAT or ACT It is
IMPOSSIBLE for any person, no matter how smart or brilliant, to teach a test
THEY THEMSELVES NEVER TOOK - TUTORS WHO CAN’T SOLVE THE
PROBLEMS and thus CANNOT teach the explanations - TUTORS WITH NO TEACHING ABILITY
/ UNABLE TO GIVE CLEAR EXPLANATIONS
>> No Teaching -
“Tutors” just read off answers ( A B C D E ) from the answer key and read
from the instructor’s manual. \ - Self-study: you read explanations and
solutions in their handouts which are ACTUALLY OFTEN INCORRECT explanations.
It still amazes me that parents are willing to pay for tutoring to have their
kids are studying on their own. That’s the easiest tutoring job in the world
– they don’t have to teach anything! - Class
time is only spent on self-study or taking test after test, again more wasted
time that you could have done on your own. -
Instructor is little more than a room monitor >> Reviewing material based
on a computerized diagnostic If those
computerized diagnostics were right, then just reviewing those topics would
make the score go up, right? WRONG. Getting
the wrong answer isn’t just because a student doesn’t know that concept. It goes
to a deeper level: critical thinking and problem solving skills. Ever
wonder why your kid has good grades and yet bad test scores? Useless!
Useless
computerized diagnostic
Useless
computerized diagnostic
Useless
computerized diagnostic >> Wrong test-taking
strategies "Proven methods" that don't work and actually TAKE DOWN
scores “Proven
methods” “strategies” “tips” “tricks” “test-taking methods” that are actually BRING down scores because they
are WRONG. - Wrong
information about SAT & ACT question types and concepts tested Many SAT
& ACT courses just don’t know what they are talking about. “Don’t
waste time reading the passages. Skim and only read the parts they ask
about.” “For
English Grammar questions, choose the answer that sounds right” “For the
essay, always write five paragraphs, and start with a “hook” or “catch” “The
Earth is flat.”
This is
the best strategy I have ever heard “Listen for what SOUNDS WRONG... don’t
worry about why it’s wrong” That’s
some great advice.
>> Fake / simulated SAT or
ACT exams Fake
tests may look the similar but test different concepts and have a different
thinking and logic. The real
SAT and ACT questions test students with a very specific thinking, logic, and
problem-solving ability. So? The fake
tests cover different material, are a different level of difficulty, OFTEN
HAVE ERRORS ( even real tests which are proofread & reviewed on several
levels have errors ), and DO NOT HAVE ACCURATE SCORING because they have NOT
BEEN TAKEN BY THOUSANDS OF STUDENTS for a scoring curve The
following are actual fake tests
>> Irrelevant &
Unnecessary Material A waste
of time reviewing stuff NOT TESTED ON THE SAT OR ACT. You might
as well review some Calculus AB and US History while you are at it
>> Covering only part of
what tested on the SAT or ACT Unless
you have taken, analyzed and reviewed more than 10 actual SATs or ACTs, there is no way to know the scope and range of
tested material 60% - 70%
coverage of what is tested.
>> Quantity instead of
Quality So you
think just having your kid take 10 practice tests will increase their score?
How about 20 practice tests? If it was that simple and that worked, you could
just buy a book of practice tests. The
fact is taking test after test without going through the questions is useless.
First, you actually need to go through ALL the questions on the test, not
just the ones missed. Secondly, research has shown a person can only
meaningfully learn about 2 to 4 new complex concepts a day, which means that
any additional material being forced into a person’s head simply won’t stay
there. 50 to 80
hour courses just taking test after test ( each test is 4 hours long )
without learning anything. (You can do that for FREE, instead of paying those
places $1000). Merely taking tests without going through them is useless. 10 hours
of bad / wrong tutoring can’t equal 1 hour of good tutoring. >> Splitting classes up by
topic, separate tutors & instructors Many
places will have separate Read, Writing, Math, and Essay classes, and a
different instructor for each. Don’t
believe it’s because they have a This is
actually so no one instructor knows the entire course and steals clients. Also, as
a part-time instructor, it’s easier just to “teach” a small portion of the
material and go back to your regular life. What
really happens is you end up with a chaotic, disorganized, incoherent course, where students have to sit through
material they already know. This
created a problem my students never deal with: Do I need 3 math lessons, 2
English lessons, 1 Essay or 2 Math, 3 English, 2 Reading? >> The one-size fits all
LARGE CLASS where
students have to sit for hours each day and listen to stuff they already
know. >> Group Tutoring ( 2 to 5 students ) a logistical disorganized mess designed to
rake in profits It's
impossible to properly teach anything when you have 2 - 5 kids all working on
different tests, at different parts of the course. This is even WORSE than a
class because at least in a class everyone is doing with same stuff and going
through the same questions >> Wasted lesson time that
you paid for Other
tutors and test prep companies waste valuable lesson time by going over
material you already know, reading over questions and thinking of
explanations before teaching the students ( because they haven’t seen those
questions before ), talking very slowly, taking breaks, starting lessons late
and ending early, and having you sit there taking a test while the tutor
looks at his or her phone. Because
it’s impossible to predict how quickly or slowly a class will move, every
tutoring company pads leftover time with filler busy-work where no teaching
happens. Worse
yet, if there are rotating tutors, the new tutor doesn’t know what you have
already gone over, so time is wasted figuring that out, and more time wasted
repeating what was already done. Suddenly
that cheap tutoring wasn’t so cheap anymore. And that expensive tutoring just
got a lot more expensive. >> Outrageous,
unconscionable prices $250 per
hour? Yes, that’s how much Kaplan and No one
likes to see their money wasted. When you go to those other tutoring centers,
your money pays for the nice looking office, new tables and chairs, the copy
machine and microwave and mini refrigerator, the front office staff who look
at social media and shopping sites all day, and other expenses. Not here.
Everything goes straight into the tutoring.
$1000 per hour? $1500 per hour?
You can
look at the websites of other tutors & companies and listen to their
sales reps say how good they are and look at this website and read about how
good we claim to be. But it’s actually very simple: go get a
lesson from one of their tutors / instructors ( if they are willing to allow
it ), and get a FREE 15 minute SAMPLE lesson from me. You will know within
minutes.
Learn
about REAL versus FAKE SAT or ACT score increases Tutoring / Test Prep Companies
deceive & lie to unsuspecting parents & students every day: 1) Making up score increases
REALLY?
I’m sure you have the official College Board score reports from BEFORE and AFTER
to prove it? 2) Harder DIAGNOSTIC “SAT” or
“ACT” which gives lower first score Those
PRACTICE SAT/ ACT tests given at your high school are harder, fake tests,
designed to give lower scores. This test
looks so real. But it was given to students at a local high school. Very
fake, and gives much lower scores.
3) Deceptive score charts which
leads to lower first score - Giving
essays lower scores - Using
score charts which give lower scores
4) “Score Guarantees” to lure in
unsuspecting Parents & Students No one
can guarantee a score any more than they can guarantee admissions to UC
Berkeley And what
if you don’t get the guaranteed improvement? You just re-take the same course
that didn’t work
Really? In order
to get “Average Score Increase” that would mean EVERY student ( not just the
ones that improved the most ) that went to that tutoring company has to take
a REAL SAT or ACT ( not some fake harder test ), then take the course, and
without tutoring from somewhere else, take another REAL SAT or ACT, and then
on top of that, actually report the scores back. THE ( The Scientific Method: A lesson for all those test prep companies that
can’t do simple calculations correctly ) 1) Take a
real SAT or ACT JUST ( not a few
months ) before the course, trying to score as
high as possible. Don't
count lower SAT & ACT start scores if the student was tired or sick or
didn't really try. 2) Take
the course, AND DO EVERYTHING required. Don’t count kids who “slacked” or
didn’t complete the course 3) Take a
real SAT or ACT RIGHT after ( not
a few months ) the course, trying to score as high as possible. An increase of 300+ points on the
NEW SAT 2016 ( the old SAT was out of 2400 points ) or 8 points on the ACT
would actually RAISE SUSPICION and get a student AUDITED for possible
cheating. Here is
what a VERIFIED, GENUINE SCORE INCREASE looks like from one of my students:
Here is
what a VERIFIED, GENUINE SCORE INCREASE looks like from one of my students:
Another
student of mine started at 30 then went up to 34. Indisputable proof of score
increase.
HOWEVER, “AVERAGE SCORE INCREASES” are a useless
method of comparing SAT ACT courses Why? There are too many factors
that affect scores which have nothing to do with the tutoring itself: 1) Differences in motivation and
drive: Highly motivated hard working students will improve more. Student A
and Student B both score 1300 and have the same ability ( can reach 1450 ).
Then they both get the same tutoring. Student A is highly motivated, studies
hard and does all the homework, whereas Student B isn’t paying attention
during tutoring. Guess who is going to improve more? 2) Inaccurate starting baseline
score Student A
and Student B have the same ability ( can reach 1450 ). Student A didn’t
study at all and walked in and took the SAT scoring 1200. Student B went
through tutoring before taking the first test and scored 1300. Then they both
get the same tutoring. Guess who is going to improve more? 3) Fake Harder Diagnostic SAT
& ACT exams create a fake baseline Student A
and Student B have the same ability ( can reach 1450 ). Student A took a fake
harder diagnostic SAT and scored 1200. Student B took a real exam and scored
1300. Then they both get the same tutoring. Guess who is going to “improve
more”? 4) Students scoring higher to
begin with have less room for improvement Student A
took the SAT and scored 1200. Student B took the SAT and scored 1500. Student
A still has 400 points to go, whereas Student B can AT MOST improve 100
points ( the maximum score is 1600 ). 5) The SAT & ACT vary in
difficulty from test to test Student A
and Student B have the same ability ( can score 1450 ). They both took the
SAT on same date for real and scored 1300. They both get the same tutoring.
Student A and Student B take the SAT again, but different test dates. Student
A has a much harder SAT. Student B has a much easier SAT. Guess who is going
to improve more? Irrefutable
proof of SAT score. Great job Ji-Won!
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Remote learning /
conference call tutoring versus In-person lessons and classes: It works
amazingly well WAIT A MINUTE. CONFERENCE CALL
REMOTE LESSON? Does this work? Is this effective? Yes. This
is NOT the same as large online ZOOM classes your kid went through during
COVID-19 Why private conference call
lessons are better than in-person lessons: * Students are busy and tired. Between school, home, work,
sports, and other extra-curricular activities, there is just not enough time
in a day to drive out then back home. * Students usually get caught in traffic and are late for lessons, which eats into lesson time paid for. This is
from years of doing in-person lessons and meeting at my office. * Students forget their books / tests / handouts at home or at
school, or brought the wrong set of stuff. At that point, we can’t go over
the material. * Many students don’t have a car or a license, and have to rely
on parents to drive. * With gas now at over $6 / gallon in * Some students tell their parents they are going to lessons, but
instead do something else. ( Yes, many students
actually do that! ) * You have a record of exactly when and how long the lessons are,
and if the student actually made it to the lesson. * We can do lessons early in the morning ( kids can crawl out of
bed and do lessons) or late at night ( without worrying about being out late) * You and I want to take vacations. You can do lessons from
anywhere in the world from your hotel while on Spring / Summer / Winter
Break. * The office space is very expensive for me to maintain, and
those extra savings are passed onto the students There is
nothing that is taught differently, explained differently, or missing
because it is done via conference call.
The
benefits, convenience, time & gas saved ( driving
) outweigh any possible downsides. Doesn’t the student need to see
you? No. Even
during an in-person class or tutoring, 95% of the time students are looking
at the test questions, handouts, and whiteboard / notepad. Teaching
is NOT a teacher standing in front of a room and students watching the
teacher. Tutoring
is NOT a tutor and student sitting side by side while the student looks at
the tutor. But don't you need to see the
problems? FOR SAT
& ACT Course: No.
Unlike standard tutoring where a student has questions and someone would need
to see what they are asking or see the book / handout / paper that the
student is talking about, this is a COURSE that I am teaching, so I have all
the materials and I am the one giving them out to the student. I do not need
to see their test papers because I already know what the test questions are FOR MATH
TUTORING: Yes. But
this is very easily taken care of. Most handouts are in PDF / Word / Google
Docs form, and the students just send me a copy. If not, students just use
their phone and take a photo of the handout and send it to me. But don't you need to see what the
student wrote down? NO. That
is a big misconception of teaching / tutoring that many parents have. Looking
at what the student wrote is not of much help: 1)
Most students write in such a way that it is very hard for even the
student to read what they wrote, much less for the teacher to make sense of.
Looking at what a student wrote down is not very helpful 2)
In a live classroom situation, I would never go to each student and
look at what every single student wrote 3) I ask
the students to explain what they did, which actually reinforces their
understanding of the problem Technology
has transformed what it means to teach and learn. With advances
in internet connectivity, touch-screen laptops, tablets and phones, and
advances in software, we can now do what could not have been done
before. As I
teach and write on the screen, it appears in real-time on your end just as if
you were sitting at a table across from me or in a classroom. I use the
same equipment that I use for classroom and in-person lessons. You see a
CRYSTAL CLEAR digital whiteboard which appears directly on your phone /
tablet / laptop This is
what the student sees. No different from in-person lessons
(A) CLASSROOM TEACHING
Tutors
only do that because the student won't be able to read what the tutor is
writing if the student is sitting across the table. During
private tutoring lessons, students are listening to the tutor talk and
looking at the test materials or notepad, NOT AT THE TUTOR.
Looking
at this photo you can see that with side-by-side
tutoring it is cramped & uncomfortable where both tutor and
student have to lean in to see what is going on.
(C) MY TUTORING Even
for in-person tutoring, I do not sit next to the student, but across
from the student. I can
write upside-down, and I write on a screen and there is a second screen
facing the student. The
student is looking at the screen or at the test papers, NOT AT ME.
(D) REMOTE TUTORING The
student is still looking at the screen or the test papers, not at me.
Everyone has personal space and is comfortable.
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SAT ( format last changed
March 2016 ) www.collegeboard.com
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College Admissions
Essays 2021: TIPS: 1) Don’t go off topic. Get to the
point and answer the question: the biggest problem is most kids write about
stuff that does not apply / irrelevant 2) These essays tell the college
something about you that isn’t shown in your academic record 3) These are NOT CREATIVE WRITING
ESSAYS. Do not write some dramatic story. 4) “Show don’t tell” does NOT MEAN
you are writing a novel: readers look through thousands of applications, with
4 essays on each app. They don’t have time to read novels. 5) No unrealistic accomplishments,
and do not make things up 6) Everyone “works hard” and
“strives” to do their best. No need to tell that on your essay.
UNIVERSITY OF
CALIFORNIA 2021 CHOOSE 4 350 words MAX 1. Describe an example of your
leadership experience in which you have positively influenced others, helped
resolve disputes or contributed to group efforts over time. Things to
consider: A leadership role can mean more than just a title. It can mean
being a mentor to others, acting as the person in charge of a specific task,
or taking the lead role in organizing an event or project. Think about what
you accomplished and what you learned from the experience. What were your
responsibilities? Did you
lead a team? How did your experience change your perspective on leading
others? Did you help to resolve an important dispute at your school, church,
in your community or an organization? And your leadership role doesn’t
necessarily have to be limited to school activities. For example, do you help
out or take care of your family? 2. Every person has a creative
side, and it can be expressed in many ways: problem solving, original and
innovative thinking, and artistically, to name a few. Describe how you
express your creative side. Things to
consider: What does creativity mean to you? Do you have a creative skill that
is important to you? What have you been able to do with that skill? If you
used creativity to solve a problem, what was your solution? What are the
steps you took to solve the problem? How does
your creativity influence your decisions inside or outside the classroom?
Does your creativity relate to your major or a future career? 3. What would you say is your
greatest talent or skill? How have you developed and demonstrated that talent
over time? Things to
consider: If there’s a talent or skill that you’re proud of, this is the time
to share it. You don’t necessarily have to be recognized or have received
awards for your talent (although if you did and you want to talk about it,
feel free to do so). Why is this talent or skill meaningful to you? Does the
talent come naturally or have you worked hard to develop this skill or
talent? Does your talent or skill allow you opportunities in or outside the
classroom? If so, what are they and how do they fit into your schedule? 4. Describe how you have taken
advantage of a significant educational opportunity or worked to overcome an
educational barrier you have faced. Things to
consider: An educational opportunity can be anything that has added value to
your educational experience and better prepared you for college. For example,
participation in an honors or academic enrichment program, or enrollment in
an academy that’s geared toward an occupation or a major, or taking advanced
courses that interest you — just to name a few. If you
choose to write about educational barriers you’ve faced, how did you overcome
or strive to overcome them? What personal characteristics or skills did you
call on to overcome this challenge? How did overcoming this barrier help
shape who you are today? 5. Describe the most significant
challenge you have faced and the steps you have taken to overcome this
challenge. How has this challenge affected your academic achievement? Things to
consider: A challenge could be personal, or something you have faced in your
community or school. Why was the challenge significant to you? This is a good
opportunity to talk about any obstacles you’ve faced and what you’ve learned
from the experience. Did you have support from someone else or did you handle
it alone? If you’re
currently working your way through a challenge, what are you doing now, and does
that affect different aspects of your life? For example, ask yourself, “How
has my life changed at home, at my school, with my friends or with my
family?” 6.
Think about an academic subject that inspires you. Describe how you
have furthered this interest inside and/or outside of the classroom. Things to
consider: Many students have a passion
for one specific academic subject area, something that they just can’t get
enough of. If that applies to you, what have you done to further that
interest? Discuss how your interest in the subject developed and describe any
experience you have had inside and outside the classroom — such as volunteer
work, internships, employment, summer programs, participation in student
organizations and/or clubs — and what you have gained from your involvement. Has your
interest in the subject influenced you in choosing a major and/or future
career? Have you been able to pursue coursework at a higher level in this
subject (honors, AP, IB, college or university work)? Are you inspired to
pursue this subject further at UC, and how might you do that? 7. What have you done to make your
school or your community a better place?
Things to
consider: Think of community as a term that can encompass a group, team or a
place — like your high school, hometown or home. You can define community as
you see fit, just make sure you talk about your role in that community. Was
there a problem that you wanted to fix in your community? Why were
you inspired to act? What did you learn from your effort? How did your
actions benefit others, the wider community or both? Did you work alone or
with others to initiate change in your community? 8. Beyond what has already been
shared in your application, what do you believe makes you stand out as a
strong candidate for admissions to the Things to
consider: If there’s anything you want
us to know about you, but didn’t find a question or place in the application
to tell us, now’s your chance. What have you not shared with us that will
highlight a skill, talent, challenge or opportunity that you think will help
us know you better? From your
point of view, what do you feel makes you an excellent choice for UC? Don’t
be afraid to brag a little. |
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SAT
& ACT Testing Requirements Changes UPDATED December 2021 Dropping the SAT
& ACT requirement has never been about “equity & inclusion” or giving
minority students access or reducing bias and racism. It was always a
financial decision, and now the facts have come to light: https://www.yahoo.com/news/wealthy-high-schoolers-upping-application-165830172.html
https://www.yahoo.com/news/editorial-uc-dumped-college-entrance-110048132.html
“But the
results of the SAT say less about the test and more about high schools'
failure to properly educate. Students across the country are failing to meet
testing federal benchmarks, even before COVID-19 disrupted education. It’s
our education system itself that needs improving and failing schools that
need to be turned around. Blaming the tests doesn’t help anyone and, contrary
to accusations of cultural bias, it is the math section that is hardest for
students.”
“There's a national movement to remove SAT and ACT test
scores from consideration for college admissions. If successfully
implemented, this terrible idea will only encourage already widespread,
unnecessary and unacceptable social engineering at American colleges, while
doing nothing to help students of color who struggle academically. At the
same time, it punishes students who do well.” “So what would you look at for admissions, if not merit?
We can expect universities to place an even bigger emphasis on extracurriculars, personal stories and a student's
identity. That means college admissions officers, already focused on
wokeness, will better shape incoming classes on the
basis of what they'd prefer the campus to look like—and on what students
believe. That makes it easier to turn students into activists, a direction
colleges already appear to be willfully taking.” Newsweek 2021 UPDATE 5/22/2020:
more SAT & ACT news:
Many colleges are dropping the SAT
and ACT as an admission requirement because “they don’t predict first-year
college success” “they are racist” “they discriminate again low-income and
minority kids”…. Really? Nope.
Colleges are in fact big business. The colleges that are dropping the SAT
& ACT requirement actually are using this to BOOST APPLICATIONS and
INCREASE the number of students ( =
profits ) enrolled in their universities. Then why did they have an SAT / ACT
requirement before if they just wanted more students to make profits?
Colleges are a competitive business. You want your college to appear, well,
desirable to get into. How does it look if the college you run had such low
standards of admissions that it didn't even require the SAT or ACT? You might
as well be applying to community college. Only recently has it been more OK
to be a college that didn't require the SAT or ACT. Some
think that the SAT & ACT are racist exams, poor predictors of college
success, and that they should be dropped for admissions because the cheating
scandal "only proves" the testing system can be gamed, but here are
get the facts. This is not about the fact
that we tutor these exams. Its about the fact that as a professional
credentialed educator myself who has worked with thousands of high school
students, I have seen first-hand what type of thinking is required to do well
on these exams, at a level deeper than any study thus far conducted. As a
student myself who worked hard to get into a very high ranking university, I
am saddened to see the admissions standard being compromised against what careful research has shown.
https://thehill.com/opinion/education/504951-the-war-on-testing
The
result of this is that college applications for every college will only
increase because now the bar is lower. Anyone who previously was not
qualified to apply can now apply. And that means more competition, and more
of a need to stand out from the crowd. READ
HERE: https://www.tmj4.com/rebound/if-your-college-doesnt-require-the-act-or-sat-should-you-still-take-it
AND HERE:
https://theolivebook.com/colleges-test-optional-act-sat-test/
Math
topics Arithmetic Pre-Algebra Algebra Whole
numbers 1 Place
Value 2
Comparing Numbers 3
Rounding Numbers 4
Addition 5
Subtraction 6
Estimating Sums and Differences 7
Addition and Subtraction Word Problems 8
Multiplication 9 Long
Division 10
Estimating Products and Quotients 11
Multiplication and Division Word Problems 12
Addition Properties 13
Multiplication Properties 14
Patterns with Whole Numbers Understanding
fractions 15
Divisibility Rules 16
Factors and Primes 17
Multiples and Least Common Multiple 18
Greatest Common Factor 19
Introduction to Fractions 20
Equivalent Fractions (Part I) 21
Reducing Fractions to Lowest Terms 22
Equivalent Fractions (Part II) 23
Improper Fractions and Mixed Numbers 24
Comparing Proper Fractions 25
Comparing Mixed Numbers and Improper Fractions 26
Comparing Fractions Word Problems Operations
with fractions 27 Adding
and Subtracting Like Fractions 28 Adding
and Subtracting Unlike Fractions 29 Adding
Mixed Numbers 30
Subtracting Mixed Numbers 31
Multiplying Fractions 32
Multiplying Mixed Numbers 33
Dividing Fractions Adding
and subtracting decimals 34
Understanding Decimals 35
Comparing Decimals 36
Rounding Decimals 37
Estimating Sums and Differences of Decimals 38 Adding
Decimals 39
Subtracting Decimals 40 Adding
and Subtracting Decimals Word Problems Multiplying
and dividing decimals 41
Multiplying Decimals by Whole Numbers 42
Multiplying Decimals by Decimals 43
Dividing Decimals by Whole Numbers 44
Dividing Decimals by Decimals 45
Multiplying and Dividing Decimals Word Problems Geometry 46
Points, Lines, Segments, and Rays 47
Classifying Lines 48 Angles 49
Measuring Angles 50
Polygons 51
Quadrilaterals 52
Circles 53
Classifying 3-Dimensional Figures Measurement 54
Customary Unit Conversions 55 Metric
Unit Conversions 56
Perimeter 57 Area
of Squares and Rectangles Displaying
data 58
Pictographs and Line Plots 59
Stem-and-Leaf Plots and Frequency Charts 6th grade Whole
numbers 1 Place
Value 2
Comparing Numbers 3
Rounding Numbers 4
Addition 5
Subtraction 6
Estimating Sums and Differences 7
Addition and Subtraction Word Problems 8
Multiplication 9
Exponents 10 Long
Division 11
Estimating Products and Quotients 12
Multiplication and Division Word Problems 13 Order
of Operations 14
Grouping Symbols 15
Variables 16
Addition Properties 17
Multiplication Properties Integers 18
Graphing and Writing Integers 19
Comparing Integers 20
Opposites and Absolute Value 21 Adding
Integers 22 Subtracting
Integers 23
Multiplying Integers 24
Dividing Integers 25
Integer Word Problems Factors,
multiples, and fractions 26
Divisibility Rules 27
Factors and Primes 28 Prime
Factorization 29
Multiples and Least Common Multiple 30
Greatest Common Factor 31
Introduction to Fractions 32
Equivalent Fractions (Part I) 33
Reducing Fractions to Lowest Terms 34
Equivalent Fractions (Part II) 35
Improper Fractions and Mixed Numbers 36
Comparing Proper Fractions 37
Comparing Mixed Numbers and Improper Fractions 38 Comparing
Fractions Word Problems Operations
with fractions 39 Adding
and Subtracting Like Fractions 40 Adding
and Subtracting Unlike Fractions 41 Adding
Mixed Numbers 42
Subtracting Mixed Numbers 43
Multiplying Fractions 44
Multiplying Mixed Numbers 45 Dividing
Fractions 46
Dividing Mixed Numbers Decimal
concepts 47
Understanding Decimals 48
Converting Decimals to Fractions 49
Converting Fractions to Decimals 50
Comparing Decimals 51
Rounding Decimals 52
Decimal Word Problems Operations
with decimals 53
Estimating Sums and Differences of Decimals 54 Adding
Decimals 55
Subtracting Decimals 56 Adding
and Subtracting Decimals Word Problems 57
Multiplying Decimals by Whole Numbers 58
Multiplying Decimals by Decimals 59
Dividing Decimals by Whole Numbers 60
Dividing Decimals by Decimals 61
Multiplying and Dividing Decimals Word Problems 62 Powers
of 10 63
Terminating and Repeating Decimals 64
Determining if a Number is Rational or Irrational Algebraic
thinking 65
Evaluating Expressions 66
Combining Like Terms 67
Distributive Property 68
Modeling Expressions 69
Introduction to Equations 70
One-Step Addition Equations 71
One-Step Subtraction Equations 72
One-Step Multiplication Equations 73
One-Step Division Equations 74
Writing and Solving One-Step Equations 75
Introduction to Inequalities 76
One-Step Inequalities 77 The
Coordinate Grid 78
Finding the nth Term in a Pattern Ratios
and percents 79
Introduction to Ratios 80 Equal
Ratios 81 Unit
Rate 82 Unit
Price 83
Understanding Percents 84
Fractions and Percents 85
Decimals and Percents 86
Percent of a Number 87
Percent One Number is of Another 88 Using
Percent to Find a Number Geometry 89
Points, Lines, Segments, and Rays 90
Classifying Lines 91 Angles 92
Measuring Angles 93 Angles
of a Triangle 94 Sides
of a Triangle 95
Polygons 96
Quadrilaterals 97
Circles 98
Classifying 3-Dimensional Figures 99 Nets 100
Symmetry 101
Transformations 102
Reflections Measurement 103
Customary Unit Conversions 104
Metric Unit Conversions 105
Perimeter 106 Area
of Squares and Rectangles 107 Area
of Triangles 108 Area
of Parallelograms and Trapezoids 109
Surface Area Displaying
and describing data 110
Pictographs and Line Plots 111 Bar
Graphs 112 Line
Graphs 113
Stem-and-Leaf Plots and Frequency Charts 114
Histograms 115 Scatterplots and Trends 116
Dependency and Correlational Relationships 117
Misleading Graphs 118
Range, Median, and Mode 119
Box-and-Whisker Plots 120 Mean 121
Central Tendency Word Problems Whole
numbers 1 Place
Value 2
Comparing Numbers 3
Rounding Numbers 4 Addition 5
Subtraction 6
Estimating Sums and Differences 7
Addition and Subtraction Word Problems 8
Multiplication 9
Exponents 10 Long
Division 11
Estimating Products and Quotients 12
Multiplication and Division Word Problems 13 Order
of Operations 14 Grouping
Symbols 15
Variables 16
Addition Properties 17
Multiplication Properties Integers 18
Graphing and Writing Integers 19
Comparing Integers 20
Opposites and Absolute Value 21 Adding
Integers 22
Subtracting Integers 23
Multiplying Integers 24
Dividing Integers 25 Order
of Operations with Integers 26
Integer Word Problems 27
Absolute Value with Addition and Subtraction 28
Absolute Value with Multiplication and Division Fractions 29
Divisibility Rules 30
Factors and Primes 31 Prime
Factorization 32 Multiples
and Least Common Multiple 33
Greatest Common Factor 34
Introduction to Fractions 35
Equivalent Fractions (Part I) 36
Reducing Fractions to Lowest Terms 37
Equivalent Fractions (Part II) 38
Improper Fractions and Mixed Numbers 39
Comparing Proper Fractions 40
Comparing Mixed Numbers and Improper Fractions 41
Comparing Fractions Word Problems 42 Adding
and Subtracting Like Fractions 43 Adding
and Subtracting Unlike Fractions 44 Adding
Mixed Numbers 45
Subtracting Mixed Numbers 46
Multiplying Fractions 47
Multiplying Mixed Numbers 48
Dividing Fractions 49
Dividing Mixed Numbers Decimals 50
Understanding Decimals 51
Converting Decimals to Fractions 52
Converting Fractions to Decimals 53
Comparing Decimals 54
Rounding Decimals 55
Decimal Word Problems 56 Estimating
Sums and Differences of Decimals 57 Adding
Decimals 58
Subtracting Decimals 59 Adding
and Subtracting Decimals Word Problems 60
Multiplying Decimals by Whole Numbers 61
Multiplying Decimals by Decimals 62
Dividing Decimals by Whole Numbers 63 Dividing
Decimals by Decimals 64
Multiplying and Dividing Decimals Word Problems 65 Powers
of 10 66
Converting from Scientific to Standard Notation 67
Converting from Standard to Scientific Notation 68
Terminating and Repeating Decimals 69
Determining if a Number is Rational or Irrational Algebraic
thinking 70
Patterns with Whole Numbers 71
Patterns with Fractions, Decimals, and Integers 72
Advanced Patterns 73
Pattern Word Problems 74
Evaluating Expressions 75
Combining Like Terms 76
Distributive Property 77 Modeling
Expressions 78
Introduction to Equations 79
One-Step Addition Equations 80
One-Step Subtraction Equations 81
One-Step Multiplication Equations 82
One-Step Division Equations 83
Writing and Solving One-Step Equations 84
Two-Step Equations 85 Equations
with Variable on Both Sides 86
Equations with the Distributive Property 87
Writing and Solving Multi-Step Equations 88
Introduction to Inequalities 89
One-Step Inequalities Ratio,
proportion, & percent 90
Introduction to Ratios 91 Equal
Ratios 92 Unit
Rate 93 Unit
Price 94
Introduction to Proportion 95
Solving Proportions 96
Proportion Word Problems 97
Understanding Percents 98
Fractions and Percents 99
Decimals and Percents 100
Percent of a Number 101
Percent One Number is of Another 102 Using
Percent to Find a Number 103
Percent Increase or Decrease 104
Discount 105 Sales
Tax 106
Interest Geometry 107
Points, Lines, Segments, and Rays 108
Classifying Lines 109
Angles 110
Measuring Angles 111
Complementary and Supplementary Angles 112
Angles of a Triangle 113 Sides
of a Triangle 114
Polygons 115
Quadrilaterals 116
Circles 117
Classifying 3-Dimensional Figures 118 Nets 119
Perspective Drawings 120
Congruent Figures 121
Similar Figures 122
Problem Solving with Similar Figures 123
Symmetry 124 The
Coordinate Grid 125
Relations and Functions 126
Evaluating and Graphing Functions 127
Transformations 128
Reflections 129
Translations 130
Rotations 131
Dilations Measurement 132
Customary Unit Conversions 133
Metric Unit Conversions 134 Units
of Measurement 135
Perimeter 136
Circumference 137
Perimeter and Circumference Word Problems 138 Area
of Squares and Rectangles 139 Area
of Triangles 140 Area
of Parallelograms and Trapezoids 141 Area
of a Circle 142
Changing Dimensions 143 Area
Word Problems 144
Surface Area 145
Volume of Prisms and Pyramids 146
Volume of Cylinders, Spheres, and Cones 147
Surface Area and Volume Word Problems 148
Square Roots 149 Using
Square Roots to Solve Equations 150
Pythagorean Theorem 151
Pythagorean Triples Probability
& statistics 152
Pictographs and Line Plots 153 Bar
Graphs 154 Line
Graphs 155
Circle Graphs 156
Stem-and-Leaf Plots and Frequency Charts 157
Histograms 158 Scatterplots and Trends 159
Misleading Graphs 160
Range, Median, and Mode 161
Box-and-Whisker Plots 162 Mean 163
Central Tendency Word Problems 164
Simple Probability 165
Experimental Probability 166
Probability of Independent Events 167
Probability of Dependent Events 168
Simulations 169 Tree
Diagrams and the Counting Principle 170
Permutations 171
Combinations Simplifying 1 Adding
and Subtracting Integers 2
Multiplying and Dividing Integers 3 Order
of Operations 4
Evaluation 5 Least
Common Multiple 6 Adding
and Subtracting Fractions 7
Multiplying and Dividing Fractions 8 Order
of Operations with Fractions 9 Evaluation
with Fractions 10
Absolute Value 11
Absolute Value with Fractions 12
Combining Like Terms 13
Distributive Property 14
Distributive Property and Combining Like Terms Equations 15
One-Step Equations 16
Two-Step Equations 17
Equations with Fractions 18
Equations Involving Distributive 19
Equations with Variable on Both Sides 20
Equations with Variable on Both Sides and Fractions 21
Equations with Variable on Both Sides and Distributive 22
Equations with Decimals 23
Equations with Decimals and Decimal Solutions 24
Equations with Fraction Solutions 25
Literal Equations Word
problems 26 Number
Word Problems 27
Consecutive Integer Word Problems 28
Geometry Word Problems 29
Percent Word Problems 30 Age
Word Problems 31 Value
Word Problems 32
Interest Word Problems 33 Motion
Word Problems Inequalities,
absolute value, functions, graphing 34
Solving and Graphing Inequalities 35
Combined Inequalities 36 The
Coordinate System 37 Domain
and Range 38
Definition of a Function 39
Function and Arrow Notation 40
Graphing within a Given Domain 41
Graphing Lines 42 The
Intercept Method 43
Graphing Inequalities in Two Variables Linear
equations 44
Patterns and Table Building 45 Word
Problems and Table Building 46 Slope
as a Rate of Change 47 Slope
of a Line 48 Using
Slope to Graph a Line 49 Using
Coordinates to Find Slope (Graphs and Tables) 50 Slope
Formula 51 Using
Slope Formula to Find Missing Coordinates 52
Slope-Intercept Form 53
Converting to Slope-Intercept Form and Graphing 54 Linear
Parent Graph and Transformations 55
Writing Equations of Lines 56
Writing Equations of Lines Using Tables 57 Direct
Variation 58
Applications of Direct Variation and Linear Functions Systems
of equations 59
Solving Systems by Graphing 60
Solving Systems by Addition 61
Solving Systems by Substitution 62 Number
and Value Word Problems 63 Wind
and Current Word Problems 64 Digit
Word Problems Exponents
& polynomials 65 The
Product Rule 66 The
Power Rule 67 The
Quotient Rule 68
Numerical Bases and Exponents of Zero 69
Combining Exponent Rules 70
Multiplying Polynomials 71
F.O.I.L. Factoring 72
Greatest Common Factor 73
Factoring out the Greatest Common Factor 74
Factoring Trinomials with Positive Constants 75
Factoring Trinomials with Negative Constants 76
Difference of Two Squares 77
Factoring Trinomials with Lead Coefficients and Positive Constants 78
Factoring Trinomials with Lead Coefficients and Negative Constants 79
Factoring Completely 80
Beginning Polynomial Equations 81
Intermediate Polynomial Equations Rational
expressions & equations 82
Simplifying Rational Expressions 83
Multiplying and Dividing Rational Expressions 84 Adding
Rational Expressions 85
Subtracting Rational Expressions 86
Rational Equations Radicals 87
Simplifying Radicals 88
Multiplying Radicals 89 Dividing
Radicals 90 Adding
Radicals and FOILing with Radicals 91
Radical Equations Quadratics 92 Linear
or Quadratic Functions 93 Graphs
of Quadratic Functions and Beginning Transformations 94 Graphs
of Quadratic Functions and Advanced Transformations 95 Solving
Quadratic Equations by Graphing 96 Taking
the Square Root of Both Sides 97
Completing The Square 98
Quadratic Formula 99
Variables, Expressions, and Equations 100
Translating English to Algebra 101 Using
Manipulatives to Model Algebraic Equations 102 Using
Algebra Tiles to Model Algebraic Equations 103 Field
Properties 104
Recognizing Patterns 105
Finding the nth Term in a Pattern 106
Finite Differences to Generalize a Rule 107
Dependency and Correlational Relationships 108
Recognizing and Evaluating Functions 109
Functions in Problem Situations 110
Domain and Range 111
Linear and Quadratic Relationships 112
Parent Graphs and Transformations 113 Slope
and Intercept 114
Interpreting Graphs 115
Direct Variation 116
Inverse Variation Geometry Introduction 1 Adding
and Subtracting Integers 2
Multiplying and Dividing Integers 3
Equations Involving the Distributive Property 4
Equations with the Variable on Both Sides 5 Points,
Lines, Planes, and Space 6
Segments, Rays, and Length 7 Segment
Addition Postulate and Midpoint 8 Angles
and Measure 9 Angle
Addition Postulate and Angle Bisector 10
Inductive vs. Deductive Reasoning 11
Conditional Statements 12
Properties 13
Algebra Proofs with Properties 14
Geometry Proofs with Midpoints and Angle Bisectors Angle
pairs & perpendicular lines 15
Solving Systems by Addition 16
Solving Systems by Substitution and Method of Choice 17
Factoring Trinomials 18
Factoring Trinomials and Difference of Two Squares 19
Polynomial Equations 20
Complementary and Supplementary Angles 21
Advanced Complementary and Supplementary Angles 22
Vertical Angles 23
Problems Involving Perpendicular Lines 24
Theorems Involving Perpendicular Lines Parallel
lines and polygons 25
Parallel Lines Vocabulary 26 Given
Lines are Parallel 27
Proving Lines are Parallel 28
Triangle Vocabulary and Triangle Sum Theorem 29
Advanced Triangle Sum Theorem 30
Triangle Word Problems and Exterior Angle Theorem 31
Polygon Vocabulary 32 Sum of
Interior and Exterior Angles of a Polygon 33
Regular Polygons Triangles 34
Congruent Figures 35
Proving Triangles are Congruent by SSS, SAS, and ASA 36
Isosceles Triangle Theorems 37
Proving Triangles are Congruent by AAS and HL 38
Medians, Altitudes, and Perpendicular Bisectors Quadrilaterals 39
Properties of Parallelograms 40
Proving a Quadrilateral is a Parallelogram 41 More
Parallel Line Theorems 42
Rectangles, Rhombuses, and Squares 43
Trapezoids Similarity 44 Ratio 45
Proportion 46
Properties of Similar Polygons 47
Angle-Angle Similarity Postulate 48
Similarity Word Problems 49 SSS
and SAS Similarity Theorems 50
Triangle Proportionality and Triangle Angle-Bisector Theorems Right
triangles 51
Simplifying Square Roots 52
Multiplying Square Roots 53
Dividing Square Roots 54 Adding
and Subtracting Square Roots 55 Pythagorean
Theorem 56
Pythagorean Theorem Word Problems 57
Converse of the Pythagorean Theorem 58
30-60-90 and 45-45-90 Degree Triangles 59
Advanced 30-60-90 and 45-45-90 Degree Triangles 60 Sine,
Cosine, and Tangent 61 Sine,
Cosine, and Tangent with a Calculator 62
Trigonometry Word Problems Circles 63 Circle
Vocabulary 64
Tangents 65 Arcs
and Central Angles 66 Arcs
and Chords 67
Advanced Arcs and Chords 68
Inscribed Angles 69 Angles
Formed by Chords, Secants, and Tangents 70 Circle
Segment Lengths 71 Advanced
Circle Segment Lengths Area 72 Area
of Rectangles and Squares 73
Advanced Area of Rectangles and Squares 74 Area
of Parallelograms 75 Area
of Triangles 76 Area
of Rhombuses 77 Area
of Trapezoids 78 Area
of Regular Polygons 79 Area
and Circumference of Circles Volume 80 Area
and Volume of Prisms 81
Advanced Area and Volume of Prisms 82 Area
and Volume of Pyramids 83
Advanced Area and Volume of Pyramids 84 Area
and Volume of Cylinders and Cones 85 Area
and Volume of Spheres Algebra 2 Simplifying 1 Adding
and Subtracting Integers 2
Multiplying and Dividing Integers 3 Order
of Operations 4
Evaluation 5
Absolute Value 6
Distributive Property and Combining Like Terms Equations 7
Two-Step Equations 8
Equations with Fractions 9
Equations with Variable on Both Sides 10
Equations with Variable on Both Sides and Distributive 11
Literal Equations 12
Advanced Literal Equations Word
problems 13 Number
Word Problems 14
Geometry Word Problems 15
Mixture Word Problems 16 Motion
Word Problems 17
Advanced Motion Word Problems Inequalities,
absolute value, functions, graphing 18
Solving and Graphing Inequalities 19
Combined Inequalities 20
Advanced Inequalities 21
Absolute Value Equations 22
Absolute Value Inequalities 23 The
Coordinate System 24 Domain
and Range 25
Definition of a Function 26
Function and Arrow Notation 27
Graphing Lines 28 The
Intercept Method Linear
equations 29 Slope
of a Line 30 Using
Slope to Graph a Line 31 Slope
Formula 32 Using
Slope Formula to Find Missing Coordinates 33
Slope-Intercept Form 34
Converting to Slope-Intercept Form and Graphing 35
Writing Equations of Lines in Standard Form 36
Writing Equations of Lines Using the Point-Slope Formula 37
Writing Equations of Lines Given Two Points 38
Writing Equations of Parallel and Perpendicular Lines Systems
of equations 39
Solving Systems by Graphing 40
Solving Systems by Addition 41
Solving Systems by Substitution 42
Systems of Equations with Fractions and Method of Choice 43 Number
and Value Word Problems 44 Wind
and Current Word Problems Exponents
& polynomials 45 The
Product Rule 46 The
Power Rule 47 The
Quotient Rule 48
Numerical Bases and Exponents of Zero 49
Combining Exponent Rules 50
F.O.I.L. 51
Advanced Multiplying Polynomials Factoring 52
Greatest Common Factor 53
Factoring out the Greatest Common Factor 54
Factoring Trinomials with Positive Constants 55
Factoring Trinomials with Negative Constants 56
Difference of Two Squares 57
Factoring Trinomials with Lead Coefficients and Positive Constants 58
Factoring Trinomials with Lead Coefficients and Negative Constants 59
Factoring by Grouping 60
Advanced Factoring by Grouping 61
Factoring Completely 62
Advanced Factoring Completely 63
Beginning Polynomial Equations 64
Intermediate Polynomial Equations 65
Advanced Polynomial Equations Rational
expressions & equations 66
Simplifying Rational Expressions 67
Multiplying and Dividing Rational Expressions 68 Adding
Rational Expressions 69
Subtracting Rational Expressions 70
Complex Fractions 71
Rational Equations 72
Advanced Rational Equations Radicals 73
Simplifying Radicals 74
Multiplying Radicals 75
Dividing Radicals 76 Adding
Radicals and FOILing with Radicals 77
Dividing Radicals Using Conjugates 78
Radical Equations 79
Advanced Radical Equations Quadratics 80 Taking
the Square Root of Both Sides 81
Completing The Square 82
Advanced Completing The Square 83
Quadratic Formula 84
Advanced Quadratic Formula 85
Solving Quadratic Equations Using Method of Choice Imaginary
& complex numbers 86
Imaginary Numbers 87
Advanced Imaginary Numbers 88
Complex Numbers 89
Advanced Complex Numbers Quadratic
equations & functions 90
Understanding y - k = a(x - h)2 Form 91
Graphing Quadratic Equations in y - k = a(x - h)2 Form 92
Writing Quadratic Equations in y - k = a(x - h)2 Form 93 Graphing
Quadratic Functions 94 Sum
and Product of Roots Formula 95
Writing Quadratic Functions Coordinate
geometry 96
Distance Formula 97
Midpoint Formula 98
Equation of a Circle Negative
& rational exponents 99
Negative Exponents 100
Numerical Bases with Negative Exponents 101
Multiplying and Dividing with Negative Exponents 102
Multiplying and Dividing with Scientific Notation 103
Rational Exponents 104
Numerical Bases with Rational Exponents 105
Writing Radicals in Exponential Form 106
Solving Equations with Rational Exponents 107
Radical Exponents Composite
& inverse functions 108
Composite Functions: f(g(x)) and g(f(x)) 109
Inverse Relations 110
Inverse Functions Logarithms 111
Evaluating Logarithms and Logarithmic vs. Exponential Form 112
Solving Logarithmic Equations 113
Logarithm Rules and Properties 114
Evaluating Logarithms by Condensing or Expanding 115
Solving Advanced Logarithmic Equations 116
Logarithm Calculator Problems 117
Exponential Equations and Change of Base Formula 118
Exponential Growth and Decay 119 Half
Life and Doubling Time Formulas 120
Natural Logarithms 121
Solving Natural Logarithm Equations with ln and e Advanced
concepts 122
Systems of Inequalities 123
Systems of Three Equations 124 Sum
and Difference of Two Cubes 125 Quadratic
Word Problems 126
Polynomial Inequalities 127 Work
Word Problems 128
Adding and Subtracting Polynomials 129
Polynomial Long Division 130
Synthetic Division Factors
and multiples Factors
and multiples: Factors and multiples Prime and
composite numbers: Factors and multiples Prime
factorization: Factors and multiples Patterns Math
patterns: Patterns Writing
expressions: Patterns Number
patterns: Patterns Ratios
and rates Intro to
ratios: Ratios and rates Equivalent
ratios: Ratios and rates Visualize
ratios: Ratios and rates Ratio
application: Ratios and rates Intro to
rates: Ratios and rates Percentages Intro to
percents: Percentages Percent,
decimal, fraction conversions: Percentages Percent
problems: Percentages Percent
word problems: Percentages Exponents
intro and order of operations Exponents:
Exponents intro and order of operations Order of
operations: Exponents intro and order of operations Variables
& expressions Parts of
algebraic expressions: Variables & expressions Substitution
& evaluating expressions: Variables & expressions Expression
value intuition: Variables & expressions Evaluating
expressions word problems: Variables & expressions Writing
algebraic expressions introduction: Variables & expressions Writing
basic algebraic expressions word problems: Variables & expressions Distributive
property with variables: Variables & expressions Combining
like terms: Variables & expressions Equivalent
expressions: Variables & expressions Equations
& inequalities introduction Algebraic
equations basics: Equations & inequalities introduction One-step
equations intuition: Equations & inequalities introduction One-step
addition & subtraction equations: Equations & inequalities
introduction One-step
multiplication and division equations: Equations & inequalities
introduction Finding
mistakes in one-step equations: Equations & inequalities introduction One-step
equation word problems: Equations & inequalities introduction Intro to
inequalities with variables: Equations & inequalities introduction Dependent
and independent variables: Equations & inequalities introduction Percent
& rational number word problems Percent
word problems: Percent & rational number word problems Rational
number word problems: Percent & rational number word problems Proportional
relationships Rate
problems with fractions: Proportional relationships Constant
of proportionality: Proportional relationships Compare
and interpret constants of proportionality: Proportional relationships Identifying
proportional relationships: Proportional relationships Graphs of
proportional relationships: Proportional relationships Writing
& solving proportions: Proportional relationships Equations
of proportional relationships: Proportional relationships One-step
and two-step equations & inequalities Combining
like terms: One-step and two-step equations & inequalities The
distributive property & equivalent expressions: One-step and two-step
equations & inequalities Interpreting
linear expressions: One-step and two-step equations & inequalities Two-step
equations intro: One-step and two-step equations & inequalities Two-step
equations with decimals and fractions: One-step and two-step equations &
inequalities Two-step
equation word problems: One-step and two-step equations & inequalities One-step
inequalities: One-step and two-step equations & inequalities Two-step
inequalities: One-step and two-step equations & inequalities Roots,
exponents, & scientific notation Square
roots & cube roots: Roots, exponents, & scientific notation Exponent
properties intro: Roots, exponents, & scientific notation Negative
exponents: Roots, exponents, & scientific notation Exponent
properties (integer exponents): Roots, exponents, & scientific notation Working
with powers of 10: Roots, exponents, & scientific notation Scientific
notation intro: Roots, exponents, & scientific notation Arithmetic
with numbers in scientific notation: Roots, exponents, & scientific
notation Scientific
notation word problems: Roots, exponents, & scientific notation Multi-step
equations Equations
with variables on both sides: Multi-step equations Equations
with parentheses: Multi-step equations Number of
solutions to equations: Multi-step equations Equations
word problems: Multi-step equations Two-variable
equations Graphing
proportional relationships: Two-variable equations Solutions
to linear equations: Two-variable equations Intercepts:
Two-variable equations Slope:
Two-variable equations Intro to
slope-intercept form: Two-variable equations Graphing
slope-intercept form: Two-variable equations Writing
slope-intercept equations: Two-variable equations Functions
and linear models Functions:
Functions and linear models Linear
models: Functions and linear models Comparing
linear functions: Functions and linear models Constructing
linear models for real-world relationships: Functions and linear models Recognizing
functions: Functions and linear models Linear
and nonlinear functions: Functions and linear models Systems
of equations Intro to
systems of equations: Systems of equations Systems
of equations with graphing: Systems of equations Solving
systems with substitution Foundations Negative
numbers: Foundations Absolute
value: Foundations Exponents:
Foundations Square
roots: Foundations Order of
operations: Foundations Fractions:
Foundations Decimals,
fractions and percentages: Foundations Operations
with decimals: Foundations Area of
triangles: Foundations Circumference
and area of circles: Foundations Algebraic
expressions Introduction
to variables: Algebraic expressions Substitution
& evaluating expressions: Algebraic expressions Writing
algebraic expressions: Algebraic expressions Combining
like terms: Algebraic expressions Distributive
property: Algebraic expressions Equivalent
algebraic expressions: Algebraic expressions Nested
fractions: Algebraic expressions Linear
equations and inequalities One-step
equations: Linear equations and inequalities Two-steps
equations: Linear equations and inequalities Multi-step
equations: Linear equations and inequalities One-step
inequalities: Linear equations and inequalities Two-step
inequalities: Linear equations and inequalities Multi-step
inequalities: Linear equations and inequalities Writing
& solving proportions: Linear equations and inequalities Graphing
lines and slope Coordinate
plane: Graphing lines and slope Solutions
to two-variable linear equations: Graphing lines and slope x-intercepts
and y-intercepts: Graphing lines and slope Slope:
Graphing lines and slope Horizontal
& vertical lines: Graphing lines and slope Slope-intercept
form intro: Graphing lines and slope Writing
slope-intercept equations: Graphing lines and slope Graphing
two-variable inequalities: Graphing lines and slope Systems
of equations Systems
of equations intro: Systems of equations Elimination
method for systems of equations: Systems of equations Substitution
method for systems of equations: Systems of equations Number of
solutions to systems of equations: Systems of equations Expressions
with exponents Exponent
properties intro: Expressions with exponents Negative
exponents: Expressions with exponents Exponent
properties (integer exponents): Expressions with exponents Scientific
notation intro: Expressions with exponents Scientific
notation word problems: Expressions with exponents Quadratics
and polynomials Adding
& subtracting polynomials: Quadratics and polynomials Multiplying
binomials: Quadratics and polynomials Special
products of binomials: Quadratics and polynomials Factoring
polynomials by taking common factors: Quadratics and polynomials Factoring
quadratics 1: Quadratics and polynomials Factoring
quadratics 2: Quadratics and polynomials Factoring
quadratics: Difference of squares: Quadratics and polynomials Factoring
quadratics: Perfect squares: Quadratics and polynomials Solving
quadratic equations by factoring: Quadratics and polynomials Equations
and geometry Equations
& geometry: Equations and geometry Triangle
angles: Equations and geometry Pythagorean
theorem: Equations and geometry Triangle
similarity intro: Equations and geometry Solving
similar triangles Algebra
foundations Overview
and history of algebra: Algebra foundations Introduction
to variables: Algebra foundations Substitution
and evaluating expressions: Algebra foundations Combining
like terms: Algebra foundations Introduction
to equivalent expressions: Algebra foundations Division
by zero: Algebra foundations Solving
equations & inequalities Linear
equations with variables on both sides: Solving equations & inequalities Linear
equations with parentheses: Solving equations & inequalities Analyzing
the number of solutions to linear equations: Solving equations &
inequalities Linear
equations with unknown coefficients: Solving equations & inequalities Multi-step
inequalities: Solving equations & inequalities Compound
inequalities: Solving equations & inequalities Working
with units Rate
conversion: Working with units Appropriate
units: Working with units Word
problems with multiple units: Working with units Linear
equations & graphs Two-variable
linear equations intro: Linear equations & graphs Slope:
Linear equations & graphs Horizontal
& vertical lines: Linear equations & graphs x-intercepts
and y-intercepts: Linear equations & graphs Applying
intercepts and slope: Linear equations & graphs Forms of
linear equations Intro to
slope-intercept form: Forms of linear equations Graphing
slope-intercept equations: Forms of linear equations Writing
slope-intercept equations: Forms of linear equations Point-slope
form: Forms of linear equations Standard
form: Forms of linear equations Summary:
Forms of two-variable linear equations: Forms of linear equations Systems
of equations Introduction
to systems of equations: Systems of equations Solving
systems of equations with substitution: Systems of equations Solving
systems of equations with elimination: Systems of equations Equivalent
systems of equations: Systems of equations Number of
solutions to systems of equations: Systems of equations Systems
of equations word problems: Systems of equations Inequalities
(systems & graphs) Checking
solutions of two-variable inequalities: Inequalities (systems & graphs) Graphing
two-variable inequalities: Inequalities (systems & graphs) Modeling
with linear inequalities: Inequalities (systems & graphs) Functions Evaluating
functions: Functions Inputs
and outputs of a function: Functions Functions
and equations: Functions Interpreting
function notation: Functions Introduction
to the domain and range of a function: Functions Determining
the domain of a function: Functions Recognizing
functions: Functions Maximum
and minimum points: Functions Intervals
where a function is positive, negative, increasing, or decreasing: Functions Interpreting
features of graphs: Functions Average
rate of change: Functions Average
rate of change word problems: Functions Intro to
inverse functions: Functions Sequences Introduction
to arithmetic sequences: Sequences Constructing
arithmetic sequences: Sequences Introduction
to geometric sequences: Sequences Constructing
geometric sequences: Sequences Modeling
with sequences: Sequences General sequences:
Sequences Absolute
value & piecewise functions Graphs of
absolute value functions: Absolute value & piecewise functions Piecewise
functions: Absolute value & piecewise functions Exponents
& radicals Exponent
properties review: Exponents & radicals Radicals:
Exponents & radicals Simplifying
square roots: Exponents & radicals Exponential
growth & decay Exponential
vs. linear growth: Exponential growth & decay Exponential
expressions: Exponential growth & decay Graphs of
exponential growth: Exponential growth & decay Exponential
vs. linear growth over time: Exponential growth & decay Exponential
growth & decay: Exponential growth & decay Exponential
functions from tables & graphs: Exponential growth & decay Exponential
vs. linear models: Exponential growth & decay Quadratics:
Multiplying & factoring Multiplying
monomials by polynomials: Quadratics: Multiplying & factoring Multiplying
binomials: Quadratics: Multiplying & factoring Special
products of binomials: Quadratics: Multiplying & factoring Introduction
to factoring: Quadratics: Multiplying & factoring Factoring
quadratics intro: Quadratics: Multiplying & factoring Factoring
quadratics by grouping: Quadratics: Multiplying & factoring Factoring
quadratics with difference of squares: Quadratics: Multiplying &
factoring Factoring
quadratics with perfect squares: Quadratics: Multiplying & factoring Strategy
in factoring quadratics: Quadratics: Multiplying & factoring Quadratic
functions & equations Intro to
parabolas: Quadratic functions & equations Solving
and graphing with factored form: Quadratic functions & equations Solving
by taking the square root: Quadratic functions & equations Vertex
form: Quadratic functions & equations Solving
quadratics by factoring: Quadratic functions & equations The quadratic
formula: Quadratic functions & equations Completing
the square intro: Quadratic functions & equations More on
completing the square: Quadratic functions & equations Strategizing
to solve quadratic equations: Quadratic functions & equations Quadratic
standard form: Quadratic functions & equations Features
& forms of quadratic functions: Quadratic functions & equations Comparing
quadratic functions: Quadratic functions & equations Transforming
quadratic functions: Quadratic functions & equations Irrational
numbers Mastery
unavailable Irrational
numbers: Irrational numbers Sums and
products of rational and irrational numbers: Irrational numbers Proofs
concerning irrational numbers Intro to
area and perimeter Count
unit squares to find area: Intro to area and perimeter Area
formula intuition: Intro to area and perimeter Multiply
to find area: Intro to area and perimeter Area and
the distributive property: Intro to area and perimeter Decompose
figures to find area: Intro to area and perimeter Perimeter
intro: Intro to area and perimeter Perimeters
of polygons with missing side lengths: Intro to area and perimeter Perimeter
word problems: Intro to area and perimeter Comparing
area and perimeter: Intro to area and perimeter Area
versus perimeter: Intro to area and perimeter Intro to
mass and volume Mass:
Intro to mass and volume Volume:
Intro to mass and volume Measuring
angles Parts of
plane figures: Measuring angles Angle
introduction: Measuring angles Angle
types: Measuring angles Understanding
angle measurement: Measuring angles Measuring
angles: Measuring angles Decomposing
angles: Measuring angles Plane
figures Quadrilaterals
introduction: Plane figures Classifying
triangles: Plane figures Parallel
and perpendicular: Plane figures Classifying
geometric shapes: Plane figures Lines of
symmetry: Plane figures More on
quadrilaterals: Plane figures Properties
of shapes: Plane figures Units of
measurement Estimating
length: Units of measurement Converting
units of mass: Units of measurement Converting
units of volume: Units of measurement Converting
units of length: Units of measurement Conversion
word problems (larger to smaller): Units of measurement Converting
to larger or smaller: Units of measurement Converting
metric units word problems: Units of measurement Volume Volume
with unit cubes: Volume Volume of
rectangular prisms: Volume Decompose
figures to find volumes: Volume Volume
word problems: Volume Coordinate
plane Intro to
the coordinate plane: Coordinate plane Coordinate
plane word problems: Coordinate plane Points in
all four quadrants: Coordinate plane Problem
solving in all quadrants: Coordinate plane Decomposing
to find area Area of
parallelograms: Decomposing to find area Area of
triangles: Decomposing to find area Area and
perimeter on the coordinate plane: Decomposing to find area Area of
composite figures: Decomposing to find area 3D
figures Rectangular
prism volume with fractions: 3D figures Surface
area with nets: 3D figures Finding
surface area: 3D figures Slicing
geometric shapes: 3D figures Volume
and surface area word problems: 3D figures Circles,
cylinders, cones, and spheres Area and
circumference of circles: Circles, cylinders, cones, and spheres Area and
circumference of fractions of circles: Circles, cylinders, cones, and spheres Volume of
cylinders, spheres, and cones: Circles, cylinders, cones, and spheres Angle
relationships Vertical,
complementary, and supplementary angles: Angle relationships Missing
angles problems: Angle relationships Parallel
lines and transversals: Angle relationships Triangle
angles: Angle relationships Scale Scale
copies: Scale Scale
drawings: Scale Triangle
side lengths Constructing
triangles: Triangle side lengths Pythagorean
theorem: Triangle side lengths Pythagorean
theorem application: Triangle side lengths Pythagorean
theorem and distance between points: Triangle side lengths Geometric
transformations Transformations
intro: Geometric transformations Translations:
Geometric transformations Rotations:
Geometric transformations Reflections:
Geometric transformations Properties
& definitions of transformations: Geometric transformations Dilations:
Geometric transformations Congruence
and similarity Performing
transformations Intro to
Euclidean geometry: Performing transformations Introduction
to rigid transformations: Performing transformations Translations:
Performing transformations Rotations:
Performing transformations Reflections:
Performing transformations Dilations:
Performing transformations Transformation
properties and proofs Rigid transformations
overview: Transformation properties and proofs Dilation
preserved properties: Transformation properties and proofs Properties
& definitions of transformations: Transformation properties and proofs Symmetry:
Transformation properties and proofs Proofs
with transformations: Transformation properties and proofs Congruence Transformations
& congruence: Congruence Triangle
congruence from transformations: Congruence Congruent
triangles: Congruence Theorems
concerning triangle properties: Congruence Working
with triangles: Congruence Theorems
concerning quadrilateral properties: Congruence Proofs of
general theorems: Congruence Constructing
lines & angles: Congruence Similarity Definitions
of similarity: Similarity Introduction
to triangle similarity: Similarity Solving
similar triangles: Similarity Angle
bisector theorem: Similarity Solving
problems with similar & congruent triangles: Similarity Proving
relationships using similarity: Similarity Solving
modeling problems with similar & congruent triangles: Similarity Right
triangles & trigonometry Pythagorean
theorem: Right triangles & trigonometry Pythagorean
theorem proofs: Right triangles & trigonometry Special
right triangles: Right triangles & trigonometry Ratios in
right triangles: Right triangles & trigonometry Introduction
to the trigonometric ratios: Right triangles & trigonometry Solving
for a side in a right triangle using the trigonometric ratios: Right
triangles & trigonometry Solving
for an angle in a right triangle using the trigonometric ratios: Right
triangles & trigonometry Sine
& cosine of complementary angles: Right triangles & trigonometry Modeling
with right triangles: Right triangles & trigonometry Analytic
geometry Distance
and midpoints: Analytic geometry Dividing
line segments: Analytic geometry Problem
solving with distance on the coordinate plane: Analytic geometry Parallel
& perpendicular lines on the coordinate plane: Analytic geometry Equations
of parallel & perpendicular lines: Analytic geometry Conic
sections Graphs of
circles intro: Conic sections Standard
equation of a circle: Conic sections Expanded
equation of a circle: Conic sections Focus and
directrix of a parabola: Conic sections Circles Circle
basics: Circles Arc
measure: Circles Arc
length (from degrees): Circles Introduction
to radians: Circles Arc
length (from radians): Circles Sectors:
Circles Inscribed
angles: Circles Inscribed
shapes problem solving: Circles Proofs
with inscribed shapes: Circles Properties
of tangents: Circles Constructing
regular polygons inscribed in circles: Circles Constructing
circumcircles & incircles:
Circles Constructing
a line tangent to a circle: Circles Solid
geometry 2D vs. 3D
objects: Solid geometry Cavalieri's principle and dissection methods: Solid geometry Volume
and surface area: Solid geometry Density Polynomial
arithmetic Intro to
polynomials: Polynomial arithmetic Average
rate of change of polynomials: Polynomial arithmetic Adding
and subtracting polynomials: Polynomial arithmetic Multiplying
monomials by polynomials: Polynomial arithmetic Multiplying
binomials by polynomials: Polynomial arithmetic Special
products of polynomials: Polynomial arithmetic Complex
numbers The
imaginary unit i: Complex numbers Complex
numbers introduction: Complex numbers The
complex plane: Complex numbers Adding
and subtracting complex numbers: Complex numbers Multiplying
complex numbers: Complex numbers Quadratic
equations with complex solutions: Complex numbers Polynomial
factorization Factoring
monomials: Polynomial factorization Greatest
common factor: Polynomial factorization Taking
common factors: Polynomial factorization Factoring
higher degree polynomials: Polynomial factorization Factoring
using structure: Polynomial factorization Polynomial
identities: Polynomial factorization Geometric
series: Polynomial factorization Polynomial
division Dividing
polynomials by x: Polynomial division Dividing
quadratics by linear factors: Polynomial division Dividing
polynomials by linear factors: Polynomial division Polynomial
Remainder Theorem: Polynomial division Polynomial
graphs Zeros of
polynomials: Polynomial graphs Positive
and negative intervals of polynomials: Polynomial graphs End
behavior of polynomials: Polynomial graphs Putting
it all together: Polynomial graphs Rational
exponents and radicals Rational
exponents: Rational exponents and radicals Properties
of exponents (rational exponents): Rational exponents and radicals Evaluating
exponents & radicals: Rational exponents and radicals Equivalent
forms of exponential expressions: Rational exponents and radicals Solving
exponential equations using properties of exponents: Rational exponents and
radicals Exponential
models Interpreting
the rate of change of exponential models: Exponential models Constructing
exponential models according to rate of change: Exponential models Advanced
interpretation of exponential models: Exponential models Logarithms Introduction
to logarithms: Logarithms The
constant e and the natural logarithm: Logarithms Properties
of logarithms: Logarithms The change
of base formula for logarithms: Logarithms Solving
exponential equations with logarithms: Logarithms Solving
exponential models: Logarithms Transformations
of functions Shifting
functions: Transformations of functions Reflecting
functions: Transformations of functions Symmetry
of functions: Transformations of functions Scaling
functions: Transformations of functions Putting
it all together: Transformations of functions Graphs of
square and cube root functions: Transformations of functions Graphs of
exponential functions: Transformations of functions Graphs of
logarithmic functions: Transformations of functions Equations Rational
equations: Equations Square-root
equations: Equations Extraneous
solutions: Equations Cube-root
equations: Equations Quadratic
systems: Equations Solving
equations by graphing: Equations Trigonometry Unit
circle introduction: Trigonometry Radians:
Trigonometry The
Pythagorean identity: Trigonometry Trigonometric
values of special angles: Trigonometry Graphs of
sin(x), cos(x), and tan(x): Trigonometry Amplitude,
midline and period: Trigonometry Transforming
sinusoidal graphs: Trigonometry Graphing
sinusoidal functions: Trigonometry Sinusoidal
models: Trigonometry Modeling Modeling
with function combination: Modeling Interpreting
features of functions: Modeling Manipulating
formulas: Modeling Modeling
with two variables: Modeling Modeling
with multiple variables Right
triangles & trigonometry Ratios in
right triangles: Right triangles & trigonometry Introduction
to the trigonometric ratios: Right triangles & trigonometry Solving
for a side in a right triangle using the trigonometric ratios: Right
triangles & trigonometry Solving
for an angle in a right triangle using the trigonometric ratios: Right
triangles & trigonometry Sine and
cosine of complementary angles: Right triangles & trigonometry Modeling
with right triangles: Right triangles & trigonometry The
reciprocal trigonometric ratios: Right triangles & trigonometry Trigonometric
functions Unit
circle introduction: Trigonometric functions Radians:
Trigonometric functions The
Pythagorean identity: Trigonometric functions Special
trigonometric values in the first quadrant: Trigonometric functions Trigonometric
values on the unit circle: Trigonometric functions Graphs of
sin(x), cos(x), and tan(x): Trigonometric functions Amplitude,
midline, and period: Trigonometric functions Transforming
sinusoidal graphs: Trigonometric functions Graphing
sinusoidal functions: Trigonometric functions Sinusoidal
models: Trigonometric functions Long live
Tau: Trigonometric functions Non-right
triangles & trigonometry Law of sines: Non-right triangles & trigonometry Law of
cosines: Non-right triangles & trigonometry Solving
general triangles: Non-right triangles & trigonometry Trigonometric
equations and identities Inverse
trigonometric functions: Trigonometric equations and identities Sinusoidal
equations: Trigonometric equations and identities Sinusoidal
models: Trigonometric equations and identities Angle
addition identities: Trigonometric equations and identities Using
trigonometric identities: Trigonometric equations and identities Challenging
trigonometry problems Analyzing
categorical data Analyzing
one categorical variable: Analyzing categorical data Two-way
tables: Analyzing categorical data Distributions
in two-way tables: Analyzing categorical data Displaying
and comparing quantitative data Displaying
quantitative data with graphs: Displaying and comparing quantitative data Describing
and comparing distributions: Displaying and comparing quantitative data More on
data displays: Displaying and comparing quantitative data Summarizing
quantitative data Measuring
center in quantitative data: Summarizing quantitative data More on
mean and median: Summarizing quantitative data Interquartile range (IQR): Summarizing quantitative data Variance
and standard deviation of a population: Summarizing quantitative data Variance
and standard deviation of a sample: Summarizing quantitative data More on
standard deviation: Summarizing quantitative data Box and
whisker plots: Summarizing quantitative data Other
measures of spread: Summarizing quantitative data Modeling
data distributions Percentiles:
Modeling data distributions Z-scores:
Modeling data distributions Effects
of linear transformations: Modeling data distributions Density
curves: Modeling data distributions Normal
distributions and the empirical rule: Modeling data distributions Normal
distribution calculations: Modeling data distributions More on
normal distributions: Modeling data distributions Exploring
bivariate numerical data Introduction
to scatterplots: Exploring bivariate
numerical data Correlation
coefficients: Exploring bivariate numerical data Introduction
to trend lines: Exploring bivariate numerical data Least-squares
regression equations: Exploring bivariate numerical
data Assessing
the fit in least-squares regression: Exploring bivariate
numerical data More on
regression: Exploring bivariate numerical data Study
design Statistical
questions: Study design Sampling
and observational studies: Study design Sampling
methods: Study design Types of
studies (experimental vs. observational): Study design Experiments:
Study design Probability Basic
theoretical probability: Probability Probability
using sample spaces: Probability Basic set
operations: Probability Experimental
probability: Probability Randomness,
probability, and simulation: Probability Addition
rule: Probability Multiplication
rule for independent events: Probability Multiplication
rule for dependent events: Probability Conditional
probability and independence: Probability Counting,
permutations, and combinations Counting
principle and factorial: Counting, permutations, and combinations Permutations:
Counting, permutations, and combinations Combinations:
Counting, permutations, and combinations Combinatorics and probability: Counting, permutations, and combinations Random
variables Discrete
random variables: Random variables Continuous
random variables: Random variables Transforming
random variables: Random variables Combining
random variables: Random variables Binomial
random variables: Random variables Binomial
mean and standard deviation formulas: Random variables Geometric
random variables: Random variables More on
expected value: Random variables Poisson
distribution: Random variables Sampling
distributions What is a
sampling distribution?: Sampling distributions Sampling
distribution of a sample proportion: Sampling distributions Sampling
distribution of a sample mean: Sampling distributions Confidence
intervals Introduction
to confidence intervals: Confidence intervals Estimating
a population proportion: Confidence intervals Estimating
a population mean: Confidence intervals More
confidence interval videos: Confidence intervals Significance
tests (hypothesis testing) The idea
of significance tests: Significance tests (hypothesis testing) Error
probabilities and power: Significance tests (hypothesis testing) Tests
about a population proportion: Significance tests (hypothesis testing) Tests
about a population mean: Significance tests (hypothesis testing) More
significance testing videos: Significance tests (hypothesis testing) Two-sample
inference for the difference between groups Mastery
unavailable Comparing
two proportions: Two-sample inference for the difference between groups Comparing
two means: Two-sample inference for the difference between groups Inference
for categorical data (chi-square tests) Chi-square
goodness-of-fit tests: Inference for categorical data (chi-square tests) Chi-square
tests for relationships: Inference for categorical data (chi-square tests) Advanced
regression (inference and transforming) Mastery
unavailable Inference
about slope: Advanced regression (inference and transforming) Nonlinear
regression: Advanced regression (inference and transforming) Composite
and inverse functions Composing
functions: Composite and inverse functions Modeling
with composite functions: Composite and inverse functions Invertible
functions: Composite and inverse functions Inverse
functions in graphs and tables: Composite and inverse functions Verifying
inverse functions by composition: Composite and inverse functions Trigonometry Special
trigonometric values in the first quadrant: Trigonometry Trigonometric
identities on the unit circle: Trigonometry Inverse
trigonometric functions: Trigonometry Law of sines: Trigonometry Law of
cosines: Trigonometry Solving
general triangles: Trigonometry Sinusoidal
equations: Trigonometry Sinusoidal
models: Trigonometry Angle
addition identities: Trigonometry Using
trigonometric identities: Trigonometry Complex
numbers The
complex plane: Complex numbers Distance
and midpoint of complex numbers: Complex numbers Complex
conjugates and dividing complex numbers: Complex numbers Identities
with complex numbers: Complex numbers Modulus
(absolute value) and argument (angle) of complex numbers: Complex numbers Polar
form of complex numbers: Complex numbers Graphically
multiplying complex numbers: Complex numbers Multiplying
and dividing complex numbers in polar form: Complex numbers The
fundamental theorem of algebra: Complex numbers Rational
functions Reducing
rational expressions to lowest terms: Rational functions End
behavior of rational functions: Rational functions Discontinuities
of rational functions: Rational functions Graphs of
rational functions: Rational functions Modeling
with rational functions: Rational functions Multiplying
and dividing rational expressions: Rational functions Adding
and subtracting rational expressions: Rational functions Conic
sections Introduction
to conic sections: Conic sections Center
and radii of an ellipse: Conic sections Foci of
an ellipse: Conic sections Introduction
to hyperbolas: Conic sections Foci of a
hyperbola: Conic sections Hyperbolas
not centered at the origin: Conic sections Vectors Vectors
introduction: Vectors Vector
components: Vectors Magnitude
of vectors: Vectors Scalar
multiplication: Vectors Vector
addition and subtraction: Vectors Direction
of vectors: Vectors Vector
components from magnitude and direction: Vectors Adding
vectors in magnitude and direction form: Vectors Vectors
word problems: Vectors Matrices Introduction
to matrices: Matrices Using
matrices to represent data: Matrices Multiplying
matrices by scalars: Matrices Adding
and subtracting matrices: Matrices Properties
of matrix addition & scalar multiplication: Matrices Using
matrices to manipulate data: Matrices Matrices
as transformations of the plane: Matrices Using
matrices to transform the plane: Matrices Transforming
3D and 4D vectors with matrices: Matrices Multiplying
matrices by matrices: Matrices Properties
of matrix multiplication: Matrices Representing
systems of equations with matrices: Matrices Introduction
to matrix inverses: Matrices Finding
inverses of 2x2 matrices: Matrices Solving
linear systems with matrices: Matrices Probability
and combinatorics Venn
diagrams and the addition rule: Probability and combinatorics Multiplication
rule for probabilities: Probability and combinatorics Permutations:
Probability and combinatorics Combinations:
Probability and combinatorics Probability
using combinatorics: Probability and combinatorics Probability
distributions introduction: Probability and combinatorics Theoretical
& empirical probability distributions: Probability and combinatorics Decisions
with probability: Probability and combinatorics Expected
value: Probability and combinatorics Series Mastery
unavailable Geometric
series: Series Geometric
series (with summation notation): Series The
binomial theorem: Series Arithmetic
series: Series Limits
and continuity Mastery
unavailable Defining
limits and using limit notation: Limits and continuity Estimating
limit values from graphs: Limits and continuity Estimating
limit values from tables: Limits and continuity Determining
limits using algebraic properties of limits: limit properties: Limits and
continuity Determining
limits using algebraic properties of limits: direct substitution: Limits and
continuity Determining
limits using algebraic manipulation: Limits and continuity Selecting
procedures for determining limits: Limits and continuity Determining
limits using the squeeze theorem: Limits and continuity Exploring
types of discontinuities: Limits and continuity Defining
continuity at a point: Limits and continuity Confirming
continuity over an interval: Limits and continuity Removing
discontinuities: Limits and continuity Connecting
infinite limits and vertical asymptotes: Limits and continuity Connecting
limits at infinity and horizontal asymptotes: Limits and continuity Working
with the intermediate value theorem Displaying
a single quantitative variable Frequency
tables and dot plots: Displaying a single quantitative variable Histograms:
Displaying a single quantitative variable Mean and
median in data displays: Displaying a single quantitative variable Interquartile range: Displaying a single quantitative variable Box and
whisker plots: Displaying a single quantitative variable Analyzing
a single quantitative variable Standard
deviation: Analyzing a single quantitative variable Comparing
distributions: Analyzing a single quantitative variable Percentiles
and z-scores: Analyzing a single quantitative variable Normal
distributions and the empirical rule: Analyzing a single quantitative
variable Normal
distribution calculations: Analyzing a single quantitative variable Two-way
tables Two-way
tables introduction: Two-way tables Distributions
in two-way tables: Two-way tables Scatterplots Fitting
trend lines to scatterplots: Scatterplots Analyzing
trend lines in scatterplots: Scatterplots Residuals:
Scatterplots Study
design Introduction
to planning a study: Study design Potential
problems with sampling: Study design Sampling
methods: Study design Introduction
to experimental design: Study design Inference
and experiments: Study design Probability Venn
diagrams and the addition rule: Probability Multiplication
rule for probabilities: Probability Conditional
probability: Probability Probability
from simulations: Probability Permutations:
Probability Combinations:
Probability Probability
using combinatorics: Probability Probability
distributions & expected value Probability
distributions introduction: Probability distributions & expected value Theoretical
& empirical probability distributions: Probability distributions &
expected value Decisions
with probability: Probability distributions & expected value Expected
value Polynomial
arithmetic Intro to
polynomials: Polynomial arithmetic Average
rate of change of polynomials: Polynomial arithmetic Adding
and subtracting polynomials: Polynomial arithmetic Multiplying
monomials by polynomials: Polynomial arithmetic Multiplying
binomials by polynomials: Polynomial arithmetic Special
products of polynomials: Polynomial arithmetic Complex
numbers The
imaginary unit i: Complex numbers Complex
numbers introduction: Complex numbers The
complex plane: Complex numbers Adding
and subtracting complex numbers: Complex numbers Multiplying
complex numbers: Complex numbers Quadratic
equations with complex solutions: Complex numbers Polynomial
factorization Factoring
monomials: Polynomial factorization Greatest
common factor: Polynomial factorization Taking
common factors: Polynomial factorization Factoring
higher degree polynomials: Polynomial factorization Factoring
using structure: Polynomial factorization Polynomial
identities: Polynomial factorization Geometric
series: Polynomial factorization Polynomial
division Dividing
polynomials by x: Polynomial division Dividing
quadratics by linear factors: Polynomial division Dividing
polynomials by linear factors: Polynomial division Polynomial
Remainder Theorem: Polynomial division Polynomial
graphs Zeros of
polynomials: Polynomial graphs Positive
and negative intervals of polynomials: Polynomial graphs End
behavior of polynomials: Polynomial graphs Putting
it all together: Polynomial graphs Rational
exponents and radicals Rational
exponents: Rational exponents and radicals Properties
of exponents (rational exponents): Rational exponents and radicals Evaluating
exponents & radicals: Rational exponents and radicals Equivalent
forms of exponential expressions: Rational exponents and radicals Solving
exponential equations using properties of exponents: Rational exponents and
radicals Exponential
models Interpreting
the rate of change of exponential models: Exponential models Constructing
exponential models according to rate of change: Exponential models Advanced
interpretation of exponential models: Exponential models Logarithms Introduction
to logarithms: Logarithms The
constant e and the natural logarithm: Logarithms Properties
of logarithms: Logarithms The
change of base formula for logarithms: Logarithms Solving
exponential equations with logarithms: Logarithms Solving
exponential models: Logarithms Transformations
of functions Shifting
functions: Transformations of functions Reflecting
functions: Transformations of functions Symmetry
of functions: Transformations of functions Scaling
functions: Transformations of functions Putting
it all together: Transformations of functions Graphs of
square and cube root functions: Transformations of functions Graphs of
exponential functions: Transformations of functions Graphs of
logarithmic functions: Transformations of functions Equations Rational
equations: Equations Square-root
equations: Equations Extraneous
solutions: Equations Cube-root
equations: Equations Quadratic
systems: Equations Solving
equations by graphing: Equations Trigonometry Unit
circle introduction: Trigonometry Radians:
Trigonometry The
Pythagorean identity: Trigonometry Trigonometric
values of special angles: Trigonometry Graphs of
sin(x), cos(x), and tan(x): Trigonometry Amplitude,
midline and period: Trigonometry Transforming
sinusoidal graphs: Trigonometry Graphing
sinusoidal functions: Trigonometry Sinusoidal
models: Trigonometry Modeling Modeling
with function combination: Modeling Interpreting
features of functions: Modeling Manipulating
formulas: Modeling Modeling
with two variables: Modeling Modeling
with multiple variables |
(C)
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