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* PLEASE DO NOT SEND EMAILS REGARDING LESSON SCHEDULING. SCHEDULING MUST BE DONE OVER THE PHONE.

 

Absolutely Competent and Talented Private Tutoring

 

I am a professional credentialed teacher with a Bachelor’s degree from University of California at Berkeley and a Teaching Credential from University of California at Davis. I taught math and AP Computer Science at a high performing high school. Over the past 11 years I have personally taught and tutored more than 2000 students. My goal is for students to absolutely understand what they are learning. There are many wrong ways to teach, and a right way.


1) Specialized SAT, ACT Private Tutoring

 

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 is 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!

 

3) English - Essay writing / essay planning / research reports / term papers

You spend hours with the assignment in front of you. Write essay 5 or 10 pages long, How do you even get started? What are you going to write about? Learn what to do when faced with an essay or research assignment.

4) College Application Essays

Writing a solid essay is the key to getting into top colleges. But it’s not just the wording and vocabulary and writing style. What a lot of people fail to do is choose the right topic to write about. Find out what topics are winners.

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.

 

 

 


This was how we did things back in the old days. As fun as this looks, maximum learning occurs during one-on-one private lessons
        

 

 

 

 

Students who already took another SAT or ACT course and then come to me still increase their SAT & ACT scores significantly



Solutions SAT course taught by me: Award-Winning professional credentialed teacher. Not actors or models.
This was how things were done back in the old days. As fun as this looks, maximum learning occurs during one -on-one private lessons.


This was how things were done back in the old days. As fun as this looks, maximum learning occurs during one -on-one private lessons.

 


 

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.

 

 

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 RIGHT WAY down to EVERY LAST DETAIL:

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 Reading / English / Math / Essay lessons

 

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 RIGHT WAY

 

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...”

Please relax. 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.

>> Develop critical thinking, problem solving, analytical skills, study skills, organizational skills

 

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.


>> Every lesson is adjusted in REAL-TIME for each student: speed, difficulty, material covered, explanations

 

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 & WRONG WAY to solve every single question, not by guessing / chance / elimination / tips & tricks

 

Students who score high on the SAT & ACT are actually good at solving the problems, NOT because they know a few tricks and strategies.
 
Despite some popular myths that the kid who scored high learned some test taking strategies that got the 1500 SAT score or the 34 ACT score, that is simply not the case. If it were that easy, no one would need to spend time studying and preparing for these exams.

 

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.
- NO WRONG ANSWERS and NO CONFUSING EXPLANATIONS  

 

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.

 
>> What a student is DOING WRONG in their approach and thinking, determine what they DON’T KNOW

 

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 )

Also, because I have literally worked with thousands of students, I can accurately tell how a student compares to his/ her peer across different high schools and provide an accurate prediction of the student’s score. Questions such as  “Does everyone miss that problem?” “Is everyone having such a hard time with this reading passage or is it just me?” “Do other students who started off like me reach 1400?” etc.

 

>> 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.

Preparing for the SAT/ ACT/ AP / Subject tests is very different from studying for a test at school. For a test in school, you just memorize a limited amount of material, take a test, and then just forget it. SAT / ACT / AP / Subject tests are a matter of performance and require a different skill set: endurance, concentration, fast thinking, problem solving, analytical skills, and also a broad range of knowledge.

 

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.

 

 

 

 

 

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 Khan Academy online. Really? Yes.

 

 

 

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 WRONG WAYS to teach

 

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.

 

- 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

 

- CAN’T SOLVE THE PROBLEMS  and thus CANNOT teach the explanations

 

-  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  
- Wrong way to read passages  
- Wrong way to answer English Grammar questions

 

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 Reading expert, Math Expert, or whatever expert.

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 Princeton Review you to charge parents when I tutored for them.

 

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.


Can you believe what other places charge?

 

$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.


SCORE LIES & DECEPTION:

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 RIGHT WAY to calculate a “Score Increase”

( 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!

 

 

 

 

 

 

 



 

 

 

 

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 classes your kid is going through at school during COVID-19

 

Here at Solutions Tutoring, we had the foresight to put this into place YEARS ago, back in 2011. Our system has been perfected, while other places are just now scrambling to get started.

 

 

 

 

 

 

 

SAT ACT test information

 

 

SAT ( format last changed March 2016 )  www.collegeboard.com

4 sections + 1 essay
154 questions ( 180 minutes ) + 1 essay ( 50 minutes )

Sections:
1 x Reading = 52 questions / 65 minutes ( 5 passages )
1 x Writing & Language = 44 questions / 35 minutes ( 4 passages )
2 x Math = 58 questions / 80 minutes ( 20 no calc + 38 calc )
1 x Essay = 50 minutes

Score Range = 400 to 1600

ACT ( format last changed September 2015 )  www.actstudent.org

4 sections + 1 essay
215 Questions ( 175 minutes ) + 1 essay (optional)  ( 40 minutes )

Sections:
1 x English = 75 questions / 45 minutes       ( 5 passages x 15 questions )
1 x Math = 60 questions / 60 minutes      
1 x Reading = 40 questions / 35 minutes       ( 4 passages x 10 questions )
1 x Science = 40 questions / 35 minutes       (  6 scenarios )
1 x Writing (Essay) = 40 minutes * NEW

Score Range = 1 to 36



   


Actual Solutions Specialized Tutoring students. Congratulations!

 

 

 

 

 

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 University of California?

 

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.

 

 

 

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

 

 

 

 

  

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