Tuesday, November 27, 2018

Discrete Mathematics - Wednesday November 28 2018 CH 2.5 Fair Division: Continuous Items | Part 1

We are not finished with CH 2.5, we will finish next class. These are the lesson notes that cover dividing something fairly if you're given continuous items like a cake or land.


Wednesday 11/28/2018 One Video Only


Keywords: Discrete Math Mathematics, Fair Division, Continuous case, continuous items, divider-chooser model, divider chooser, cut-and-choose, cut and choose

AP Calculus AB - Tuesday November 27 2018 CH 2 Extension - Linearization, Definitions of Derivatives

Today's lesson is about linearization (linear approximations), formal definition of the derivative of the limit, and the alternate form of the definition of the derivative.

Tuesday 11/27/2018 One Video Only


Keywords: AP Calculus AB, linearization, linear approximation, formal definition of the derivative, alternate form of the definition of the derivative



Sunday, November 25, 2018

Discrete Mathematics - Monday November 26 2018 Review of Plurality + Approval Voting

We are doing PBL work for this week, and so we reviewed how to do approval voting and plurality for PBL (project based learning) purposes. No new material.

Monday 11/26/2018 One Video Only

Saturday, November 24, 2018

AP Calculus AB - Wednesday November 21 2018 CH 2.6 Related Rates | Part 3

We finished up four more scenarios for related rates, including using trigonometric ratios.

Wednesday 11/21/2018 Part 1/3

Wednesday 11/21/2018 Part 2/3

Wednesday 11/21/2018 Part 3/3



Keywords: AP Calculus AB, related rates, area, volume, dy/dt, dx/dt, dz/dt, sine, cosine, tangent, Pythagorean Theorem, a^2+b^2=c^2

Monday, November 19, 2018

Discrete Mathematics - Tuesday November 20 2018 Review: Power Index

We had PBL meeting today for half of the class while we did our Discrete Math Thinker's Toolkit (summarizing our CH 1 notes). And so, the only video worth noting is a review of the power index from chapter 1 as bell work.

Tuesday 11/20/2018 One Video Only

Key Words: power index, winning coalition, majority


AP Calculus AB - Monday November 19 2018 CH 2.6 Related Rates | Part 2

We started with listing down important equations to help solve these problems.

Monday 11/19/2018 Part 1/2

Then we did some HW problems together. Please note I made a mistake on plugging in pi/6 to the t value. We addressed this in class. Leave the front as y'(t), and not y'(pi/6). (No Video for this)


Last, we reviewed dimensional analysis.

Monday 11/19/2018 Part 2/2



Keywords: AP Calculus AB, related rates, dimensional analysis, circles, squares, rectangles, triangles, spheres, cylinders, cones

Geometry - Monday November 19 2018 Review of Triangles!

We just need to review all of the different ways to solve for sides and angles of a triangle!

Monday 11/19/2018 One Video Only

Keywords: Pythagorean Theorem, Special Right Triangle Triangles, 45 45 90, 45-45-90, 30 60 90, 30-60-90, Trigonometry, sine, cosine, tangent, inverse sine, inverse cosine, inverse tangent, Law of Sines

AP Calculus AB - Thursday November 15 2018 CH 2.6 Related Rates | Part 1

Apologies this is coming in late. This is part 1 of related rates. The four steps to solve: identify values and draw a picture, set an equation, differentiate the equation, and plug in values.

Thursday 11/15/2018 Part 1/4

Thursday 11/15/2018 Part 2/4

Thursday 11/15/2018 Part 3/4

Thursday 11/15/2018 Part 4/4

Keywords: related rates, AP Calculus AB

Wednesday, November 14, 2018

Geometry - Thursday November 15 2018 Law of Sines

This is the last formal trigonometry lesson!

Thursday 11/15/2018 Part 1/2

Thursday 11/15/2018 Part 2/2


Keywords: Law of Sines, sine, proportion, finding missing sides, missing angles

Discrete Mathematics - Wednesday November 14 2018 CH 2.3 + 2.4 Review

Before we move on to the last chapter of fair division, we need to review the four models!


Wednesday 11/14/2018 Part 1/4

Wednesday 11/14/2018 Part 2/4

Wednesday 11/14/2018 Part 3/4

Wednesday 11/14/2018 Part 4/4



Keywords: apportionment, fair division, Hamilton, Jefferson, Webster, Huntington Hill, geometric mean, rounding, truncating decimals

Tuesday, November 13, 2018

AP Calculus AB - Wednesday November 13 2018 CH 2.5 Implicit Differentiation

We dove in on implicit differentiation, differentiating different variables other than x with respect to x. The last video is how to do two problems on the homework.

Tuesday 11/13/2018 Part 1/3

Tuesday 11/13/2018 Part 2/3

Tuesday 11/13/2018 Part 3/3


Keywords: AP Calculus AB, implicit differentiation

Geometry - Tuesday November 13 2018 Trigonometric Ratios SOH CAH TOA #2 Finding Angles and #3 Word Problems

We continued trigonometry today by finding angles of a right triangle. We also applied these ratios in word problems.

Tuesday 11/13/2018 Part 1/2

Tuesday 11/13/2018 Part 2/2


Keywords: trigonometry, trigonometric ratios, inverse sine, inverse cosine, inverse tangent, arcsine, arccosine, arctangent, word problems, opposite, adjacent, hypotenuse

Thursday, November 8, 2018

Wednesday, November 7, 2018

Geometry - Wednesday November 7 2018 Trigonometry (SOH CAH TOA) #1 - Finding Sides

This is an introduction to the three trigonometric ratios, and steps on how to use them to find sides of a right triangle that are NOT 45-45-90 or 30-60-90 degrees.

Wednesday 11/08/2018 Part 1/3

Wednesday 11/08/2018 Part 2/3

Wednesday 11/08/2018 Part 3/3



Keywords: trigonometry, trigonometric ratios, sine, cosine, tangent, opposite, adjacent, hypotenuse, findings sides

Thursday, November 1, 2018

Discrete Mathematics - Thursday November 1 2018 CH 2.3 Apportionment Models | Part 2 Jefferson

I actually made a mistake teaching the last part of the Hamilton model. So we fixed that first.

Thursday 11/01/2018 Part 1/3

Then we did apportionment through Jefferson model.

Thursday 11/01/2018 Part 2/3

Thursday 11/01/2018 Part 3/3


Keywords: discrete math, apportionment, Hamilton, Jefferson

Algebra 2 - Tuesday May 19 2020 Compound Interest + Monthly Loan Payments

Finance math with Algebra 2! The first three videos are for calculating compound interest. Tuesday 05/19/2020 Part 1/4 Tuesday 05/19/20...