Good to go: 1) Nisha Badhan 2) Patricia Bueno 3) Jason Chan 4) Daphne Davidson 5) Jimmy Nguyen 6) Sanjit Singh 7) Jason Trinh 8) Akshay Saxenaz 9) Terry Cheng
2-1 Panarchy Bonus
Good to go (+2): 1) Anita Huynh 2) Anil Kumar 3) Benny Mai 4) Michelle Sam 5) Suzanna Che 6) Donna Abraham 7) Lisa Liang Need to delete some information: 1) Stephanie Nguyen 2) Kenneth Yun Other:
Sums & Differences of Rational Expressions
For more examples, you can youtube “videosbyjulieharland” and look up “rational expressions”. She has more than 5 videos on adding/subtracting rational expressions.
Properties of Rational Expressions
If you guys need to review how to factor, go here under chapter 3.
Multiplying & Dividing Rational Expressions
Factoring out a -1
Absolute Value Equations
With 1 absolute value: With 2 absolute values: With a quadratic in the absolute value: https://www.youtube.com/watch?v=cVMzT-T7QIs
Absolute Value Functions
Absolute Value
Reciprocal Functions
Extra information:
Applications of Quadratic Equations
The Discriminant
https://www.youtube.com/watch?v=KaLOnwmid1Q In the last classroom example in my lesson, we had to eventually solve for the inequality k^2<1/4. I changed the inequality into an equality, solved for k and then found some test points. The following video solves by factoring but he still needs to take some test points. (Pretend x is k).
The Quadratic Formula
With fractions in the QE: https://www.youtube.com/watch?v=MXHqLhRNIlI
Square Root Property & Completing the Square
Square Root Property: Completing the Square:
Solving Quadratic Equations by Factoring
For his second example, he factors ax^2+bx+c differently than I’ve taught. I teach decomposition/grouping/cherry picking. They both yield the same result. You can also FOIL first, combine like terms and set the equation = 0 then factor & solve.
Factoring Review
Click on the type of factoring review you need: 1) removing common factors 2) factoring x^2+bx+c 3) factoring ax^2+bx+c by grouping/decomposition/”cherry picking” 4) difference of squares, perfect square trinomials
Applications of Quadratic Functions
1) Max ball height 2) Find 2 numbers… 3) Maximize area a) 4 walls b) 3 walls (4th wall is a barn/river etc.) For some reason her fencing is in the water. 4) Price that yields max profit.
Vertex of a Parabola
The only difference here is the lady moves the “c” value to the left hand side. This doesn’t matter since you’ll have to move it back to the right hand side at the end anyway. Here is the derivation of the formula for the vertex. I don’t recommend you memorize this, rather, just know how […]
Finding the Equation of a Parabola
Converting General Form to Standard Form
Ugh, our workbook regards general form to be: y=ax^2+bx+c and standard form: y=a(x-h)^2+k. Note this video refers to them as standard & vertex form respectively.