BorrProject · pulkitkrishna00 · Jul 13, 2025 · Jul 12, 2025 · Jul 12, 2025 · Jul 12, 2025
diff --git a/docs/precollege-math/02-arithmetic/index.md b/docs/precollege-math/02-arithmetic/index.md
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+---
+sidebar_position: 2
+---
+
+# Arithmetic
+*Timeline: 156 hours (videos: 52 hours, homework: ~104 hours)*
+
+**Topics covered**:
+`addition`
+`subtraction`
+`multiplication`
+`division`
+`fractions`
+`decimals`
+`percents`
+`order of operations`
+`basic geometry`
+`interest`
+`ratios`
+`rounding`
+`basic statistics`
+`inequalities`
+`mixed numbers`
+`word problems`
+`math properties`
+`and more`
+
+This course was created by [The College Prep School](https://www.youtube.com/@thecollegeprepschool4486). The entirety of this course is contained in the following YouTube playlist, including all of your homework and tests.
+
+**Course Playlist:** [TCPS - Arithmetic](https://www.youtube.com/playlist?list=PLm2VEQtiYjhpTTgxTVCXVcpYWDUqiewiQ)
+
+## Instructions:
+
+- Work through the playlist from top to bottom.
+- In each video, the teacher works through a problem set, then a homework.
+- When the teacher says "try this one on your own", pause the video and work it out. You do not have to do every single problem, but make sure to pay attention, learn the method to solve it, and do the ones he tells you to complete.
+- Always complete the homework. If you get something wrong according to the answer key, try to see what you did wrong and redo the problem correctly.
+- When you get to a review day, attempt every problem yourself then complete the homework.
+- Take the tests seriously and don't cheat. Use them as a measure to see where your knowlege is at. Do not move on without feeling proficient at a topic.
+- You shouldn't need a calculator for this course. Focus on manually doing each problem so that you remember the methods for doing so.
+
+## Notes:
+
+- [Class 5 - Memorizing Products](https://youtu.be/i219Ow_BZTI): A useful website to help you memorize your addition & multiplication facts is [XtraMath](https://home.xtramath.org/).
+
+## Supplemental Resources:
+- [Khan Academy - Arithmetic](https://khanacademy.org/math/arithmetic): This serves as a good tutor if you want a different perspective.
+- [Math Antics](https://www.youtube.com/@mathantics/playlists): This channel has some good videos for Arithmetic & Pre-Algebra
+- [Professor Leonard - Prealgebra](https://www.youtube.com/playlist?list=PL4C9296DF81B9EF13): The first few videos touch on Arithmetic, however most of it is Pre-Algebra. It's good if you prefer a conversational teacher + whiteboard teaching style.
+- [OpenStax - Prealgebra Textbook](https://openstax.org/details/books/prealgebra-2e): Just like Professor Leonard, this touches on basic Arithmetic, then moves onto Pre-Algebra realtively quickly. However, many students learn better with a textbook. This is a good option.
+- [Greene Math - Pre-Algebra](https://www.greenemath.com/Prealgebra.html): Another good resource for Arithmetic & Pre-Algebra.
diff --git a/docs/precollege-math/03-pre-algebra/index.md b/docs/precollege-math/03-pre-algebra/index.md
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+---
+sidebar_position: 3
+---
+
+# Pre-Algebra
+*Timeline: 84 hours (videos: 28 hours, homework: ~56 hours)*
+
+**Topics covered**:
+`negative numbers`
+`negative fractions`
+`algebraic expressions`
+`algebraic fractions`
+`multi-step equations`
+`inequalities`
+`applications`
+`graphing`
+`and more`
+
+This course was created by [The College Prep School](https://www.youtube.com/@thecollegeprepschool4486). The entirety of this course is contained in the following YouTube playlist, including all of your homework and tests.
+
+**Course Playlist:** [TCPS - Pre-Algebra](https://www.youtube.com/playlist?list=PLm2VEQtiYjhoZuRqvrC_dxSrwr0uexm4l)
+
+## Instructions
+
+- Work through the playlist from top to bottom.
+- In each video, the teacher works through a problem set, then a homework.
+- When the teacher says "try this one on your own", pause the video and work it out. You do not have to do every single problem, but make sure to pay attention, learn the method to solve it, and do the ones he tells you to complete.
+- Always complete the homework. If you get something wrong according to the answer key, try to see what you did wrong and redo the problem correctly.
+- When you get to a review day, attempt every problem yourself then complete the homework.
+- Take the tests seriously and don't cheat. Use them as a measure to see where your knowlege is at. Do not move on without feeling proficient at a topic.
+- You may find a calculator useful for this course. [Desmos](https://www.desmos.com/calculator) is a good free graphing calculator.
+
+## Supplemental Resources
+- [Khan Academy - Pre-Algebra](https://khanacademy.org/math/pre-algebra): This serves as a good tutor if you want a different perspective.
+- [Math Antics](https://www.youtube.com/@mathantics/playlists): This channel has some good videos for Arithmetic & Pre-Algebra
+- [Professor Leonard - Prealgebra](https://www.youtube.com/playlist?list=PL4C9296DF81B9EF13): The first few videos touch on Arithmetic, however most of it is Pre-Algebra. It's good if you prefer a conversational teacher + whiteboard teaching style.
+- [OpenStax - Prealgebra Textbook](https://openstax.org/details/books/prealgebra-2e): Just like Professor Leonard, this touches on basic Arithmetic, then moves onto Pre-Algebra realtively quickly. Since many students learn better with a textbook, this is a good option.
+- [Greene Math - Pre-Algebra](https://www.greenemath.com/Prealgebra.html): Another good resource for Arithmetic & Pre-Algebra.
diff --git a/docs/precollege-math/04-algebra-1/index.md b/docs/precollege-math/04-algebra-1/index.md
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+---
+sidebar_position: 4
+---
+
+# Algebra 1
+*Timeline: 150 hours (videos: 50 hours, homework: ~100 hours)*
+
+**Topics covered**:
+`polynomials`
+`FOIL`
+`factorization`
+`GCF`
+`quadratics`
+`difference of squares`
+`simplifying equations`
+`algebraic fractions`
+`complex fractions`
+`square roots`
+`systems of equations`
+`linear equations`
+`slope`
+`graphing equations`
+`applications of algebra`
+`and more`
+
+This course was created by [The College Prep School](https://www.youtube.com/@thecollegeprepschool4486). The entirety of this course is contained in the following YouTube playlist, including all of your homework and tests. Note that "Algebra 1" and "Beginning Algebra" are the same thing.
+
+**Course Playlist:** [TCPS - Beginning Algebra](https://www.youtube.com/playlist?list=PLm2VEQtiYjhpXDka_1Q6m0x1rL5GRPMX8)
+
+## Instructions:
+
+- Work through the playlist from top to bottom.
+- In each video, the teacher works through a problem set, then a homework.
+- When the teacher says "try this one on your own", pause the video and work it out. You do not have to do every single problem, but make sure to pay attention, learn the method to solve it, and do the ones he tells you to complete.
+- Always complete the homework. If you get something wrong according to the answer key, try to see what you did wrong and redo the problem correctly.
+- When you get to a review day, attempt every problem yourself then complete the homework.
+- Take the tests seriously and don't cheat. Use them as a measure to see where your knowlege is at. Do not move on without feeling proficient at a topic.
+- You may find a calculator useful for this course. [Desmos](https://www.desmos.com/calculator) is a good free graphing calculator.
+
+## Notes:
+
+- [Class 3 - Multiplying Binomials](https://youtu.be/T9MA2t3dP_w): FOIL (First, Inner, Outer, Last) is a commonly taught method for multiplying 2 binomials together. However, it is important to understand the math that goes on behind FOIL. FOIL is just using the distributive property to multiply the monomials within the first binomial by the second binomial. See [this video](https://youtu.be/PQ2W_0r4t2s) from Wrath of Math for more details.
+- [Class 4 - Factoring Algebraic Expressions Part 1](https://youtu.be/YOT7LMiyFDs&t=2410) (questions 47-59): An easier method for factoring equations where the leading coefficient is not 1 is the X method(AKA the diamond method), as seen in [this clip](https://youtu.be/u2CFHYJWS60?t=1590) from Professor Leonard.
+
+## Supplemental Resources:
+- [Khan Academy - Algebra 1](https://khanacademy.org/math/algebra): This serves as a good tutor if you want a different perspective.
+- [The Organic Chemistry Tutor - Algebra](https://www.youtube.com/playlist?list=PL0o_zxa4K1BUeF2o-MlNpbRiS-oE2Kn6J): Another excellent tutor, if you have a struggle with a particular subject, search the topic + TheOrganicChemistryTutor for results.
+- [Professor Leonard - To The Point Math](https://www.youtube.com/playlist?list=PLDesaqWTN6ETc1ZwHWijCBcZ2gOvS2tTN): Although this has a strange name, it is roughly equivalent to Algebra 1. Students who prefer a teacher + whiteboard teaching style may continue with this course.
+- [OpenStax - Elementary Algebra Textbook](https://openstax.org/details/books/elementary-algebra-2e): Since many students learn better with a textbook, this is a good option.
+- [Greene Math - Algebra I](https://www.greenemath.com/AlgebraI.html): Another good resource for Algebra 1.
diff --git a/docs/precollege-math/05-geometry/index.md b/docs/precollege-math/05-geometry/index.md
@@ -0,0 +1,48 @@
+---
+sidebar_position: 5
+---
+
+# Geometry
+*Timeline: 189 hours (videos: 63 hours, homework: ~126 hours)*
+
+**Topics covered**:
+`inductive reasoning`
+`flowchart proofs`
+`congruence`
+`angles`
+`triangle sum theorem`
+`deductive reasoning`
+`paragraph proofs`
+`pythagorean theorem`
+`distance formula`
+`midpoint`
+`points of concurrency`
+`similarity`
+`circles`
+`proportionality`
+`transformations`
+`right triangles`
+`quadrilaterals`
+`area`
+`volume`
+`angles`
+`and more`
+
+This course was created by [The College Prep School](https://www.youtube.com/@thecollegeprepschool4486). The entirety of this course is contained in the following YouTube playlist, including all of your homework and tests.
+
+**Course Playlist:** [TCPS - Geometry](https://www.youtube.com/playlist?list=PLm2VEQtiYjhoXTFAF8nuN5YrAl2Muh4Nw)
+
+## Instructions
+
+- Work through the playlist from top to bottom.
+- In each video, the teacher works through a problem set, then a homework.
+- When the teacher says "try this one on your own", pause the video and work it out. You do not have to do every single problem, but make sure to pay attention, learn the method to solve it, and do the ones he tells you to complete.
+- Always complete the homework. If you get something wrong according to the answer key, try to see what you did wrong and redo the problem correctly.
+- When you get to a review day, attempt every problem yourself then complete the homework.
+- Take the tests seriously and don't cheat. Use them as a measure to see where your knowlege is at. Do not move on without feeling proficient at a topic.
+- You may find a calculator useful for this course. [Desmos](https://www.desmos.com/calculator) is a good free graphing calculator.
+
+## Supplemental Resources
+- [Khan Academy - Geometry](https://khanacademy.org/math/geometry): This serves as a good tutor if you want a different perspective.
+- [The Organic Chemistry Tutor - Geometry](https://www.youtube.com/playlist?list=PL0o_zxa4K1BVkRxCZubMPcCJ5Q5QwZdEM): Another excellent tutor, if you have a struggle with a particular subject, search the topic + TheOrganicChemistryTutor for results.
+- [CK-12 - Interactive Geometry Textbook](https://flexbooks.ck12.org/cbook/ck-12-interactive-geometry-for-ccss/#): Since many students learn better with a textbook, this is a good option.
diff --git a/docs/precollege-math/06-algebra-2/index.md b/docs/precollege-math/06-algebra-2/index.md
@@ -0,0 +1,53 @@
+---
+sidebar_position: 6
+---
+
+# Algebra 2
+*Timeline: 156 hours (videos: 52 hours, homework: ~104 hours)*
+
+**Topics covered**:
+`systems of equations`
+`absolute value equations`
+`radicals`
+`complex numbers`
+`completing the square`
+`the quadratic formula`
+`graphing parabolas`
+`standard form`
+`vertex form`
+`slope-intercept form`
+`discriminant`
+`exponent rules`
+`exponential equations`
+`logarithms`
+`library of relations`
+`function notation`
+`transformation of functions`
+`domain`
+`range`
+`composite functions`
+`piecewise functions`
+`base e`
+`compound interest`
+`and more`
+
+This course was created by [The College Prep School](https://www.youtube.com/@thecollegeprepschool4486). The entirety of this course is contained in the following YouTube playlist, including all of your homework and tests. Note that "Algebra 2" and "Intermediate Algebra" are the same thing.
+
+**Course Playlist:** [TCPS - Intermediate Algebra](https://www.youtube.com/playlist?list=PLm2VEQtiYjhoEvVOJzs8jrgFc1zXQVMiQ)
+
+## Instructions
+
+- Work through the playlist from top to bottom.
+- In each video, the teacher works through a problem set, then a homework.
+- When the teacher says "try this one on your own", pause the video and work it out. You do not have to do every single problem, but make sure to pay attention, learn the method to solve it, and do the ones he tells you to complete.
+- Always complete the homework. If you get something wrong according to the answer key, try to see what you did wrong and redo the problem correctly.
+- When you get to a review day, attempt every problem yourself then complete the homework.
+- Take the tests seriously and don't cheat. Use them as a measure to see where your knowlege is at. Do not move on without feeling proficient at a topic.
+- You may find a calculator useful for this course. [Desmos](https://www.desmos.com/calculator) is a good free graphing calculator.
+
+## Supplemental Resources
+- [Khan Academy - Algebra 2](https://www.khanacademy.org/math/algebra2): This serves as a good tutor if you want a different perspective.
+- [The Organic Chemistry Tutor - Algebra](https://www.youtube.com/playlist?list=PL0o_zxa4K1BUeF2o-MlNpbRiS-oE2Kn6J): Another excellent tutor, if you have a struggle with a particular subject, search the topic + TheOrganicChemistryTutor for results.
+- [Professor Leonard - Intermediate Algebra](https://www.youtube.com/playlist?list=PLCA912DC9F9DAF48C): This class is equivalent to Algebra 2. Students who prefer a teacher + whiteboard teaching style may continue with this course.
+- [OpenStax - Intermediate Algebra Textbook](https://openstax.org/details/books/intermediate-algebra-2e): Since many students learn better with a textbook, this is a good option.
+- [Greene Math - Algebra II](https://www.greenemath.com/AlgebraII.html): Another good resource for Algebra 2.
diff --git a/docs/precollege-math/07-trigonometry/index.md b/docs/precollege-math/07-trigonometry/index.md
@@ -0,0 +1,55 @@
+---
+sidebar_position: 7
+---
+
+# Trigonometry
+*Timeline: 135 hours (videos: 45 hours, homework: ~90 hours)*
+
+**Topics covered**:
+`sine`
+`cosine`
+`tangent`
+`secant`
+`cosecant`
+`cotangent`
+`angles`
+`reciprocal identity`
+`ratio identity`
+`pythagorean identity`
+`trigonometric ratios`
+`trigonometric identities`
+`sum and difference identity`
+`double angle identitiy`
+`half angle identity`
+`transformations`
+`graphing`
+`inverse trigonometric functions`
+`degrees`
+`law of sines`
+`trigonometric equations`
+`law of cosines`
+`radians`
+`composite trigonometric functions`
+`and more`
+
+This course was created by [The College Prep School](https://www.youtube.com/@thecollegeprepschool4486). The entirety of this course is contained in the following YouTube playlist, including all of your homework and tests.
+
+**Course Playlist:** [TCPS - Trigonometry](https://www.youtube.com/playlist?list=PLm2VEQtiYjhofP-A_QvAoTVwWjXwU7bCc)
+
+## Instructions
+
+- Work through the playlist from top to bottom.
+- In each video, the teacher works through a problem set, then a homework.
+- When the teacher says "try this one on your own", pause the video and work it out. You do not have to do every single problem, but make sure to pay attention, learn the method to solve it, and do the ones he tells you to complete.
+- Always complete the homework. If you get something wrong according to the answer key, try to see what you did wrong and redo the problem correctly.
+- When you get to a review day, attempt every problem yourself then complete the homework.
+- Take the tests seriously and don't cheat. Use them as a measure to see where your knowlege is at. Do not move on without feeling proficient at a topic.
+- You may find a calculator useful for this course. [Desmos](https://www.desmos.com/calculator) is a good free graphing calculator.
+
+## Supplemental Resources
+- [Khan Academy - Trigonometry](https://en.khanacademy.org/math/trigonometry): This serves as a good tutor if you want a different perspective.
+- [The Organic Chemistry Tutor - Trigonometry](https://www.youtube.com/playlist?list=PL0o_zxa4K1BVCB8iCVCGOES9pEF6byTMT): Another excellent tutor, if you have a struggle with a particular subject, search the topic + TheOrganicChemistryTutor for results.
+- [Professor Leonard - Precalculus](https://www.youtube.com/watch?v=c41QejoWnb4&list=PLDesaqWTN6ESsmwELdrzhcGiRhk5DjwLP&index=74&pp=iAQB): This playlist contains his College Algebra & Trigonometry course combined. Trigonometry starts at episode 74. Students who prefer a teacher + whiteboard teaching style may continue with this course.
+- [OpenStax - Algebra & Trigonometry Textbook](https://openstax.org/details/books/intermediate-algebra-2e): Since many students learn better with a textbook, this is a good option. Trigonometry is covered in Chapters 7 - 10.
+    - [Scalar Learning - OpenStax - Algebra & Trigonometry](https://www.youtube.com/playlist?list=PLZBnAG03572riK3KtGrTnpGNGn2fi-zDm): Full worked out solution playlist for the Algebra & Trigonometry Textbook
+- [Greene Math - Trigonometry](https://www.greenemath.com/Precalculus.html#trig-functions): Another good resource for Trigonometry. This is also part of Green Math's Precalculus course.