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. 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
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 is a good free graphing calculator.
Notes:
- Class 3 - Multiplying Binomials: 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 from Wrath of Math for more details.
- Class 4 - Factoring Algebraic Expressions Part 1 (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 from Professor Leonard.
Supplemental Resources:
- Khan Academy - Algebra 1: This serves as a good tutor if you want a different perspective.
- The Organic Chemistry Tutor - Algebra: Another excellent tutor, if you have a struggle with a particular subject, search the topic + TheOrganicChemistryTutor for results.
- Professor Leonard - To The Point Math: 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: Since many students learn better with a textbook, this is a good option.
- Greene Math - Algebra I: Another good resource for Algebra 1.