AP Calculus AB [Flip the Classroom] - Friday December 14 2018 CH 3.4 Second Derivative Test: Concavity

These five-part videos represent the lesson on concavity.

Friday 12/14/2018 Part 1/5
Duration [11:47]

Friday 12/14/2018 Part 2/5
Duration [26:28]

Friday 12/14/2018 Part 3/5
Duration [8:18]

Friday 12/14/2018 Part 4/5
Duration [28:55]

Friday 12/14/2018 Part 5/5
Duration [10:04]


Keywords: AP Calculus AB, second derivative test, concavity, concave up down, inflection points point, f"(c) = 0, f"(c) DNE does not exist

Geometry - Friday December 14 2018 Dimensional Analysis | Day 4

During Day 4, we finished up converting things in one line only. We then went on to how this is applied to chemistry.

Friday 12/14/2018 Part 1/4

Friday 12/14/2018 Part 2/4

Friday 12/14/2018 Part 3/4

Friday 12/14/2018 Part 4/4


Keywords: chemistry, moles, mol, grams gram, hydrogen, carbon, periodic table, element, compound

AP Calculus AB - Wednesday December 12 2018 CH 3.2 HW Problems

These are more so for the people who were absent. We did six HW problems during class.

Wednesday 12/12/2018 One Video Only

Geometry - Wednesday December 12 2018 Dimensional Analysis | Day 3

We continued on with rates, acceleration, and trying to convert these all in one line.

Wednesday 12/12/2018 Part 1/3

Wednesday 12/12/2018 Part 2/3

Wednesday 12/12/2018 Part 3/3


Keywords: dimensional analysis, rate, distance, time, acceleration, exponents, centimeter, meter, inch, foot, feet, inches, centimeters, meters, converting, conversion of units

AP Calculus AB [Flip The Classroom] - Wednesday December 12 2018 CH 3.3 First Derivative Test: Increasing + Decreasing

These are videos to watch before coming in next class!
*Ugh, I keep saying "alright" at every beginning of the video, something I'll have to change.

Wednesday 12/12/2018 Part 1/5
Duration [6:39]

Wednesday 12/12/2018 Part 2/5
Duration [9:45]

Wednesday 12/12/2018 Part 3/5
Duration [15:04]

Wednesday 12/12/2018 Part 4/5
Duration [15:26]

Wednesday 12/12/2018 Part 5/5
Duration [3:53]


Keywords: AP Calculus AB, first derivative test, increasing, decreasing, local relative minimum, maximum

Geometry - Monday December 10 2018 Dimensional Analysis | Day 2

We learned how to convert singular units of measure. Then we started to convert rates.

Monday 12/10/2018 Part 1/2

Monday 12/10/2018 Part 2/2


Keywords: dimensional analysis, feet, centimeters, inches, ratio, ratios, simplify, rate, distance, time

AP Calculus AB [Flip The Classroom] - Monday December 10 2018 CH 3.2 Mean Value Theorem and Rolle's Theorem

Here is the next flip the classroom lesson. Please watch and take notes.

Monday 12/10/2018 Part 1/8
Duration [17:17]

Monday 12/10/2018 Part 2/8
Duration [5:31]

Monday 12/10/2018 Part 3/8
Duration [13:05]

Monday 12/10/2018 Part 4/8
Duration [3:40]

Monday 12/10/2018 Part 5/8
Duration [9:00]

Monday 12/10/2018 Part 6/8
Duration [10:53]

Monday 12/10/2018 Part 7/8
Duration [9:38]

Monday 12/10/2018 Part 8/8
Duration [6:30]


Keywords: AP Calculus AB, Mean Value Theorem, Rolle's Theorem, Rolle, secant slope, secant line, tangent slope, tangent line

AP Calculus AB - Thursday December 6 2018 Pre CH 3 Prep: Long Division, Slant Asymptotes, Sketching f'(x)

We reviewed the procedures for long division, synthetic division, and using those to get the slant asymptotes for rational functions. We also tried to sketch the graph of the derivative given the original function.

Thursday 12/06/2018 Part 1/2

Thursday 12/06/2018 Part 2/2


Key words: AP Calculus AB, long division, synthetic division, slant asymptote asymptotes, rational function functions, derivative graph sketch sketching

Geometry - Thursday December 6 2018 Triangle Inequality Rules + Dimensional Analysis

The first three videos are for the three rules of triangle inequality.

Thursday 12/06/2018 Part 1/4

Thursday 12/06/2018 Part 2/4

Thursday 12/06/2018 Part 3/4


The last section for the day, we started with dimensional analysis. It'll take us next week to finish.

Thursday 12/06/2018 Part 4/4



Key words: triangle inequality inequalities, a + b > c, acute obtuse right, dimensional analysis, simplify, solve

AP Calculus AB [Flip The Classroom] - Thursday December 6 2018 CH 3.1 Extrema on an Interval

This is our first flip the classroom lesson. Watch these six parts by Monday 12/10, take notes, and do the best you can to understand as much as possible. This is your Calculus HW.

Thursday 12/06/2018 Part 1/6 
Duration [17:48]

Thursday 12/06/2018 Part 2/6
Duration [11:49]

Thursday 12/06/2018 Part 3/6
Duration [12:21]

Thursday 12/06/2018 Part 4/6
Duration [11:37]

Thursday 12/06/2018 Part 5/6
Duration [10:11]

Thursday 12/06/2018 Part 6/6
Duration [15:42]


Keywords: AP Calculus AB, extrema, relative minimum, local minimum, relative maximum, local maximum, absolute minimum, global minimum, absolute maximum, global maximum, sharp turns, critical number numbers value values, Extreme Value Theorem

Discrete Mathematics - Friday November 30 2018 CH 2.5 Fair Division Continuous Items | Part 2

We finished up the chapter!

Friday 11/30/2018 Part 1/3

Friday 11/30/2018 Part 2/3

Friday 11/30/2018 Part 3/3


Keywords: fair division, continuous items, moving knife model, moving-knife, lone divider method, lone-divider

Geometry - Thursday November 29 2018 Review for Test #4 (Circuit)

We did two problems together just to figure out how a review circuit works!

Thursday 11/29/2018 One Video Only

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

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

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

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

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

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

Discrete Mathematics - Thursday November 8 2018 CH 2.4 Apportionment Models | Part 4 Huntington-Hill

This is the last type of model for apportionment!

Thursday 11/08/2018 Part 1/2

Thursday 11/08/2018 Part 2/2


Keywords: discrete math, apportionment, Huntington-Hill, Huntington Hill, geometric mean

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

Discrete Mathematics - Tuesday November 6 2018 CH 2.4 Apportionment Models | Part 3 Webster

We now dove into the Webster model for apportionment!

Tuesday 11/06/2018 Part 1/2

Tuesday 11/06/2018 Part 2/2



Keywords: Webster model, discrete math, apportionment, rounding

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

AP Calculus AB - Wednesday October 31 2018 CH 2.4 Chain Rule | Part 2

Here are the videos to finish off chain rule!

Wednesday 10/31/2018 Part 1/2

Wednesday 10/31/2018 Part 2/2



Keywords: AP Calculus AB, chain rule, derivatives, chain rule using charts, chain rule using graphs

AP Calculus AB - Monday October 29 2018 CH 2.4 Chain Rule | Part 1

We will do chain rule in two class sessions.

Monday 10/29/2018 Part 1/3

Monday 10/29/2018 Part 2/3

Monday 10/29/2018 Part 3/3 (Homework problems)

Keywords: AP Calculus AB, chain rule, derivatives

Geometry - Monday October 29 2018 Review of Special Right Triangles

Before we move on to trigonometry, it's really important to review things we learned such as the 45-45-90 and 30-60-90 triangles. We also did them by explaining in writing.

Monday 10/29/2018 One Video Only

Keywords: 45 45 90, 45-45-90, 30-60-90, 30 60 90, special right triangles

Discrete Mathematics - Friday October 26 2018 CH 2.3 Apportionment Models | Part 1 Hamilton

We first did a bellwork on Condorcet method.
Next, we reviewed the homework from last class, last page only.
Finally, we learned how to do Hamilton model for apportionment.

Friday 10/26/2018 Part 1/3

Friday 10/26/2018 Part 2/3

Friday 10/26/2018 Part 3/3

Keywords: discrete math, Condorcet voting, Hamilton model, apportionment

Geometry - Thursday October 25 2018 Special Right Triangles: 30-60-90 Triangles

This lesson was about finding the patterns of the 30-60-90 triangle and finding its sides!

Thursday 10/25/2018 Part 1/2

Thursday 10/25/2018 Part 2/2


Keywords: special right triangle triangles, 30 60 90, 30-60-90, short leg, long leg, hypotenuse

AP Calculus AB - Thursday October 25 2018 CH 2.3 Product Rule and Quotient Rule + Higher Order Derivatives

Poem:
Low D High
minus High D Low
cross the line
and square the low

Thursday 10/25/2018 Part 1/2

Thursday 10/25/2018 Part 2/2


Keywords: AP Calculus AB, product rule, quotient rule, higher order, higher-order derivatives

Discrete Mathematics - Wednesday October 24 2018 CH 2.2 Estate Division (continued)

We did a bell work first on Arrow's conditions. Then we finished off the lesson for CH 2.2 estate division with one more example.

Wednesday 10/24/2018 Part 1/2

Wednesday 10/24/2018 Part 2/2


Keywords: arrow's conditions, estate division, discrete mathematics

AP Calculus AB - Tuesday October 23 2018 CH 2.2 Basic Differentiation Rules (continued)

We finished chapter 2.2 with finding tangent lines and points that are on horizontal slopes.

Tuesday 10/23/2018 One Video Only


Keywords: AP Calculus AB, Basic differentiation rules, derivatives, equation of tangent line, horizontal slope.

Geometry - Tuesday October 23 2018 Special Right Triangles: 45-45-90 (continued)

We continued last class's lesson on 45-45-90 degree triangle patterns!

Tuesday 10/23/2018 One Video Only


Keywords: 45-45-90, 45 45 90 degree triangles, find missing sides, special right triangle, multiplying dividing radicals

Discrete Mathematics - Monday October 22 2018 CH 2.2 Estate Division

We first did bell work on reviewing SRM sequential run-off model.
Then we did a lesson on Estate Division, one example only. We will finish next class.

Monday 10/22/2018 Part 1/2

Monday 10/22/2018 Part 2/2


Keywords: discrete math mathematics, estate division

AP Calculus AB - Friday October 19 2018 CH 2.2 Basic Differentiation Rules

Instead of doing the steps of work in CH 2.1, we learned basic rules of derivatives of functions. We will continue next class.

Friday 10/19/2018 Part 1/2

Friday 10/19/2018 Part 2/2


Keywords: AP Calculus AB, basic differentiation derivative rules, constant rule, power rule, rewriting functions, derivatives of sine and cosine, finding the equation of a tangent line

AP Calculus AB - Friday October 19 2018 CH 2.1 The Derivative

This lesson provides background and details of what a derivative is and how it is formed and calculated. You can think of the derivative as a glorified form of the formula of a slope (average rate of change), (y2-y1)/(x2-x1). No homework for this chapter, just lecture and notes.

Friday 10/19/2018 Part 1/2

Friday 10/19/2018 Part 2/2


Keywords: definition of a derivative in limit form, f'(x), y', f prime

Geometry - Friday October 19 2018 Special Right Triangles: 45-45-90

We ventured off into patterns of 45-45-90 degree triangles. We will continue them next class.

Friday 10/19/2018 Part 1/2

Friday 10/19/2018 Part 2/2



Keywords: special right triangles, 45-45-90, 45 45 90, right isosceles, finding unknown sides, radicals

Geometry - Friday October 19 2018 Multiplying and Dividing Radicals

We reviewed multiplying more radicals and rules on dividing them. We will use these on the next lessons heavily.

Friday 10/19/2018 Part 1/3

Friday 10/19/2018 Part 2/3

Friday 10/19/2018 Part 3/3


Keywords: multiply multiplying radicals, square roots, divide dividing radicals

AP Calculus AB - Tuesday October 16 2018 CH 1.5 Infinity Limits + Revisiting Functions

On this chapter, we learned about the limits of functions as x approaches infinity or negative infinity. We also looked at different functions and applied limit problems on those functions.

Tuesday 10/16/2018 Part 1/2

Tuesday 10/16/2018 Part 2/2

Keywords: Infinity limits, chapter 1, negative infinity, 1/x^2, abs(x)/x, x/abs(x), removable discontinuity

Geometry - Tuesday October 16 2018 Pythagorean Theorem Word Problems

On this day, we applied Pythagorean theorem in different scenarios. We even reviewed area of a triangle to help with these problems.

Tuesday 10/16/2018 Part 1/3

Tuesday 10/16/2018 Part 2/3

Tuesday 10/16/2018 Part 3/3


Keywords: Pythagorean Theorem word problems, area of triangle, right triangle

AP Calculus AB - Friday October 12 2018 CH 1.4 Continuity (cont) + IVT Intermediate Value Theorem

Sheesh we finally finished CH 1.4!!

Friday 10/12/2018 Part 1/3

Friday 10/12/2018 Part 2/3

Friday 10/12/2018 Part 3/3


Keywords: continuity, jump discontinuity, find the intervals of continuity, IVT, intermediate value theorem, free response, AP Calculus AB

Geometry - Friday October 12 2018 Isosceles Triangles + Mult Radicals + Pythagorean Theorem

We did a lot of concepts today! Isosceles triangles and their bases, reviewing how to multiply radicals, and reviewing Pythagorean Theorem.

Friday 10/12/2018 Part 1/3

Friday 10/12/2018 Part 2/3

Friday 10/12/2018 Part 3/3


Keywords: isosceles triangles bases, multiply multiplying radicals square roots, Pythagorean theorem

AP Calculus AB - Wednesday October 10 2018 CH 1.4 Continuity (continued)

Because of the PSAT and scheduling today, we could only do one section of the notes. I am hoping we finish next class!

Wednesday 10/10/2018 One Video Only

AP Calculus AB - Wednesday October 3 2018 CH 1.4 Continuity (continued)

No homework for this chapter as we are not done. We will finish next class.

Wednesday 10/03/2018 Part 1/4

Wednesday 10/03/2018 Part 2/4

Wednesday 10/03/2018 Part 3/4

Wednesday 10/03/2018 Part 4/4


Keywords: continuity, continuous, not continuous, discontinuous, removable discontinuity, non-removable discontinuity, jump discontinuity, infinity discontinuity, left-hand limit, right-hand limit, continuous on endpoints, parent graphs, piecewise functions

Geometry - Wednesday October 3 2018 Triangle Interior + Exterior Sum + Multiple Angles (continued)

We finished off last class's lesson by finding the angle measure of an unknown given multiple angles of triangles and other angles.

Wednesday 10/03/2018 One Video Only

Key words: triangle angle interior sum, triangle angle exterior sum, multiple angles, straight angle, vertical angles, right angles, multiple steps

Discrete Mathematics - Tuesday October 2 2018 CH 1.5 (continued) Weighted Voting and Voting Power

We finished the examples and gave the homework for this chapter.

Tuesday 10/02/2018 Part 1/2

Tuesday 10/02/2018 Part 2/2


HW:
1) List all the 50 states and research how many House of Representatives each state has
2) Make 5 winning coalitions. You will need to total up the House of Representatives first, then find majority. Once you have the number for the majority, create your own teams that make at least the majority. One alliance could have ten or eleven states!


Keywords: discrete math, discrete mathematics, weighted voting, voting power, power index, majority, winning coalition, winning coalitions, House of Representatives

AP Calculus AB - Monday October 1 2018 CH 1.3 (continued) Limits Analytically + CH 1.4 Continuity

We finished how to apply limits analytically. We then tackled continuity. We will finish next class.

Monday 10/01/2018 Part 1/2

Monday 10/01/2018 Part 2/2


Keywords: AP Calculus AB, Limits Analytically, Continuity

Geometry - Monday October 1 2018 Identifying Triangles + Triangle Angle Interior Sum + Triangle Angle Exterior Sum

Today was rather a bunch of smaller lessons, re-introducing triangles.

We first went over the last page of the homework (angles)

Monday 10/01/2018 Part 1/5

Then we moved on to the day's lessons.

Triangle angle interior sum means that all angles of a triangle add up to 180 degrees.
Triangle angle exterior sum means that the two interior angles equal to the exterior angle opposite of those two angles.

Monday 10/01/2018 Part 2/5

Monday 10/01/2018 Part 3/5

Monday 10/01/2018 Part 4/5

Monday 10/01/2018 Part 5/5


Keywords: Identifying triangles, triangle angle interior sum, triangle angle exterior sum, multi-step angles

Discrete Mathematics - Friday September 28 2018 CH 1.5 Weighted Voting and Voting Power

Here are three videos of the opening activity and notes for this chapter.
We will continue next class.

Friday 09/28/2018 Part 1/3

Friday 09/28/2018 Part 2/3

Friday 09/28/2018 Part 3/3



Keywords: discrete math, discrete mathematics, weighted voting, voting power, power index, majority, winning coalition, winning coalitions

AP Calculus AB - Thursday September 27 2018 Graphing Calculator Practice (cont) + Limits CH 1.1 - 1.3

On this day, we finished off calculator practice with the storage button.

Then we officially started our calculus lesson on limits CH 1.1 - 1.3. We will continue next class.

Thursday 09/27/2018 One Long Video Only

*I will make sure to cut these videos into shorter segments next time!


Keywords: AP Calculus AB, graphing calculator, storage, limits, left-hand limit, right-hand limit, limit rules, limits given graph, limits given continuous functions

Geometry - Thursday September 27 2018 Angle Relationships

Here are the lessons for today's angles AVID lesson!

Thursday 09/27/2018 Part 1/3

Thursday 09/27/2018 Part 2/3

Thursday 09/27/2018 Part 3/3


Keywords: Geometry, angles, angle, complementary, supplementary, alternate interior, alternate exterior, vertical, same-side interior,

Algebra 2 - Tuesday May 15 2018 Arithmetic Sequences and Series

This is the last Algebra 2 lesson for the semester!
Arithmetic sequences and series!

Tuesday 05/15/2018 Part 1/3

Tuesday 05/15/2018 Part 2/3

Tuesday 05/15/2018 Part 3/3

Algebra 2 - Monday May 14 2018 Inverse Functions

We ventured into three characteristics of inverse functions.

Monday 05/14/2018 Part 1/3

Monday 05/14/2018 Part 2/3

Monday 05/14/2018 Part 3/3

Algebra 2 - Thursday May 10 2018 Function Operations (finishing up)

We finished up Function Operations!

Thursday 05/10/2018 Part 1/5

Thursday 05/10/2018 Part 2/5

Thursday 05/10/2018 Part 3/5

Thursday 05/10/2018 Part 4/5

Thursday 05/10/2018 Part 5/5

Algebra 2 - Wednesday May 9 2018 Function Operations

We started function operations this day. We will continue this the next day.

Wednesday 05/09/2018 One Video Only

AP Calculus AB - Tuesday May 8 2018 Review: Accumulation

Here are review accumulation problems!

Tuesday 05/08/2018 One Video Only

Algebra 2 - Tuesday May 8 2018 Compound Interest + Monthly Loan Payments

Finance math with Algebra 2!
The first videos are for compound interest.

Tuesday 05/08/2018 Part 1/3

Tuesday 05/08/2018 Part 2/3

Tuesday 05/08/2018 Part 3/3

This next video is for monthly loan payments.

Wednesday 05/09/2018 Monthly Loan Payments

AP Calculus AB - Monday May 7 2018 Review: L'Hopital's

Reviewing L'Hopital!

Monday 05/07/2018 One Video Only

Algebra 2 - Monday May 7 2018 Logarithms III

Short lesson on this third installment of logs!

Monday 05/07/2018 Part 1/2

Monday 05/07/2018 Part 2/2

Algebra 2 - Wednesday May 2 2018 Logarithms II

Today's lessons is about applying exponential form and logarithmic form to solve for the variable.

Wednesday 05/02/2018 Part 1/3

Wednesday 05/02/2018 Part 2/3

Wednesday 05/02/2018 Part 3/3

Algebra 2 - Tuesday May 1 2018 Logarithms I

We define logarithms, evaluated them, and graphed its parent function.

Tuesday 05/01/2018 Part 1/4

Tuesday 05/01/2018 Part 2/4

Tuesday 05/01/2018 Part 3/4

Tuesday 05/01/2018 Part 4/4

Algebra 2 - Monday April 30 2018 Graphing 10^x, Creating Exponential Functions, DESMOS

We graphed 10^x patterns, solved word problems involving exponential functions, and had our last DESMOS lesson on exponential regression (best-fit).

Monday 04/30/2018 Part 1/4

Monday 04/30/2018 Part 2/4

Monday 04/30/2018 Part 3/4

Monday 04/30/2018 Part 4/4

Algebra 2 - Thursday April 26 2018 Solving Exponential Equations: Changing the Base | Day 2

We utilized the exponent rules from Tuesday to help us solve today's problems!

Thursday 04/26/2018 Part 1/2

Thursday 04/26/2018 Part 2/2

Algebra 2 - Wednesday April 25 2018 Solving Exponential Equations: Changing the Base | Day 1

We are in the process of solving for x for exponential equations.

Wednesday 04/25/2018 Part 1/3

Wednesday 04/25/2018 Part 2/3

Wednesday 04/25/2018 Part 3/3

Algebra 2 - Tuesday April 24 2018 Laws of Exponents

We are in a new function (exponentials), and to start, we will revisit how to simplify using laws of exponents.

Tuesday 04/24/2018 Part 1/4

Tuesday 04/24/2018 Part 2/4

Tuesday 04/24/2018 Part 3/4

Tuesday 04/24/2018 Part 4/4

Algebra 2 - Monday April 23 2018 Solving Equations with Rational Expressions + Parent Graphs

Here are the videos for this lesson!

Monday 04/23/2018 Part 1/3

Monday 04/23/2018 Part 2/3

Monday 04/23/2018 Part 3/3

Algebra 2 - Wednesday April 18 2018 Operations with Rational Expressions Day 2 | Adding and Subtracting

Here are the lessons for adding and subtracting rational expression!

Wednesday 04/18/2018 Part 1/3

Wednesday 04/18/2018 Part 2/3

Wednesday 04/18/2018 Part 3/3

AP Calculus AB - Wednesday April 18 2018 Free Response 2016 [Practice Test]

Here are the videos for the explanations on the FR 2016.

Free Response 1

Free Response 2

Free Response 3

Free Response 4

Free Response 5

Free Response 6

Algebra 2 - Tuesday April 17 2018 Operations with Rational Expressions Day 1 | Multiplying and Dividing

Here are the lessons for rational expressions, times and divide!
Lots of factoring!

Tuesday 04/17/2018 Part 1/3

Tuesday 04/17/2018 Part 2/3

Tuesday 04/17/2018 Part 3/3

Algebra 2 (All Periods) GOAL SETTING

A lot of students ask me what they should be getting in Quarter 4 in order to get the final grade that they want for the semester. So, here is that video!

Algebra 2 GOAL SETTING

Algebra 2 - Monday April 16 2018 Piecewise Functions II | Lines + Parent Graphs

This is the second day for piecewise functions.
We began learning where this idea of piecewise functions can be used in the real world.

Monday 04/16/2018 Part 1/3

We then differentiated graphing lines and parabolas.

Monday 04/16/2018 Part 2/3

Last, we continued piecewise functions, bringing back parent graphs (patterns).

Monday 04/16/2018 Part 3/3

Algebra 2 - Thursday April 12 2018 Piecewise Functions I | Lines Only

We first reviewed how to graph lines.

Thursday 04/12/2018 Part 1/4


Then we learned how to graph piecewise functions using lines only.

Thursday 04/12/2018 Part 2/4

Thursday 04/12/2018 Part 3/4


Last, we reviewed the parent graphs of parabolas, square roots, and absolute values.

Thursday 04/12/2018 Part 4/4

Algebra 2 - Wednesday April 11 2018 Parent Graphs | Square Root Functions + DESMOS

Today we learned how to graph square root functions using patterns.

Wednesday 04/11/2018 Part 1/5

Then we solved problems when f(x) = g(x) algebraically and with DESMOS.
The first set involves square roots.

Wednesday 04/11/2018 Part 2/5

Wednesday 04/11/2018 Part 3/5

The last set involves absolute values with DESMOS.

Wednesday 04/11/2018 Part 4/5

Wednesday 04/11/2018 Part 5/5

AP Calculus AB - Wednesday April 11 2018 Free Response 2016 IPE

Here are six videos representing the six free response problems from the 2016 IPE (International) test.

Free Response 2016 IPE Problem 1

Free Response 2016 IPE Problem 2

Free Response 2016 IPE Problem 3

Free Response 2016 IPE Problem 4

Free Response 2016 IPE Problem 5

Free Response 2016 IPE Problem 6

Algebra 2 - Monday April 9 2018 Solving Equations with Radicals

Here are the three rounds to this lesson! Remember to always check your answers!

Monday 04/09/2018 Part 1/3

Monday 04/09/2018 Part 2/3

Monday 04/09/2018 Part 3/3

AP Calculus AB - Friday April 6 2018 Free Response Practice 2013 Question 2

Here is another free response problem we tackled, reviewing particle motion concepts.

Friday 04/06/2018 Part 1/2

Friday 04/06/2018 Part 2/2

AP Calculus AB - Thursday April 5 2018 Free Response Practice 2014 Question 1

Here are the videos for this problem, inspired by FR 2014 Question 1.

Thursday 04/05/2018 Part 1/2

Thursday 04/05/2018 Part 2/2

Algebra 2 - Wednesday April 4 2018 Operations with Radicals | Part 2: Combining and Conjugates (Day 3)

We FINALLY finished with these last rounds!

Wednesday 04/04/2018 Part 1/2

Wednesday 04/04/2018 Part 2/2

AP Calculus AB - Wednesday April 4 2018 Free Response Practice 2014 Question 5

Here is a problem inspired by Free Response 2014 Question 5!

Wednesday 04/04/2018 One Video Only

Algebra 2 - Tuesday April 3 2018 Operations with Radicals | Part 2: Combining and Conjugates (Day 2)

Apologies for the late upload!
Here are Tuesday's videos.
We used FOIL/Box to multiply the radicals, brought back an old rule for division, and then used conjugates.

Tuesday 04/03/2018 Part 1/3

Tuesday 04/03/2018 Part 2/3

Tuesday 04/03/2018 Part 3/3

Algebra 2 - Monday April 2 2018 Operations with Radicals | Part 2: Combining and Conjugates (Day 1)

We are going to take some time to do these step by step.
We've broken down square and cube roots with variables, as well as combining like terms and distributing radicals.

Monday 04/02/2018 Part 1/3

Monday 04/02/2018 Part 2/3

Monday 04/02/2018 Part 3/3

Algebra 2 - Wednesday March 28 2018 Operations with Radicals Part 1 Multiplying and Dividing

Here are the four mini videos on multiplying and dividing terms with radicals!

Wednesday 03/28/2018 Part 1/4

Wednesday 03/28/2018 Part 2/4

Wednesday 03/28/2018 Part 3/4

Wednesday 03/28/2018 Part 4/4

Algebra 2 - Tuesday March 27 2018 Absolute Value Equations and Graphs

Today we learned how to solve equations with absolute values, and graphed them using patterns!

Tuesday 03/27/2018 Part 1/2

Tuesday 03/27/2018 Part 2/2

AP Calculus AB - Thursday March 15 2018 Review of CH 6 + CH 7

We reviewed first the chapter 7 materials: area between two curves, disks, cross sections, and washers. Then we reviewed chapter 6 materials: slope fields, finding a particular solution of a differential equation, and L'Hopital's rule.

Thursday 03/15/2018 Part 1/4

Thursday 03/15/2018 Part 2/4

Thursday 03/15/2018 Part 3/4

Thursday 03/15/2018 Part 4/4

AP Calculus AB - Wednesday March 14 2018 CH 7.2 Volume Part 3 | Washers

Here is the last video for volume!

Wednesday 03/14/2018 One Video Only

AP Calculus AB - Tuesday March 13 2018 CH 7.2 Volume Part 2 | Cross Sections

Four videos today. The first two are very short: just showing what a cross section model looks like, and the set-up general formula for the cross section. And then the last two videos are problems.

Tuesday 03/13/2018 Part 1/4

Tuesday 03/13/2018 Part 2/4

Tuesday 03/13/2018 Part 3/4

Tuesday 03/13/2018 Part 4/4

AP Calculus AB - Monday March 12 2018 CH 7.2 Volume Part 1 | Disks

Today is the first day of solids of revolution with disk method!

Monday 03/12/2018 Part 1/2

Monday 03/12/2018 Part 2/2

AP Calculus AB - Thursday March 8 2018 CH 7.1 Area Between Two Curves | Day 2

Today, we are finishing up CH 7.1 with functions in terms of y.

Thursday 03/08/2018 One Video Only

AP Calculus AB - Wednesday March 7 2018 CH 7.1 Area Between Two Curves | Day 1

Here are the video lessons for area between two curves! We will finish tomorrow.

Wednesday 03/07/2018 Part 1/3

Wednesday 03/07/2018 Part 2/3

Wednesday 03/07/2018 Part 3/3

AP Calculus AB - Tuesday March 6 2018 L'Hopital's/L'Hospital's Rule

Here are the video lessons for L'Hopital's Rule!

Tuesday 03/06/2018 Part 1/4

Tuesday 03/06/2018 Part 2/4

Tuesday 03/06/2018 Part 3/4

Tuesday 03/06/2018 Part 4/4

Algebra 2 - Tuesday March 6 2018 Parent Graphs | Parabolas

Two video lessons on these parabolas.
Get the vertex, and then follow the arrow patterns!

Tuesday 03/06/2018 Part 1/2

Tuesday 03/06/2018 Part 2/2

AP Calculus AB - Monday March 5 2018 CH 6.3 Harder Separation of Variables | Day 2

We tackled some of the HW problems today.

Monday 03/05/2018 One Video Only

Algebra 2 - Monday March 5 2018 Quadratic Formula + DESMOS Quadratic Regression

Today, we sang (yep, SANG) the quadratic formula.
We then used desmos.com to use the trends to create a quadratic regression.

Monday 03/05/2018 Part 1/4

Monday 03/05/2018 Part 2/4

Monday 03/05/2018 Part 3/4

Monday 03/05/2018 Part 4/4

AP Calculus AB - Thursday March 1 2018 CH 6.3 Verifying Solutions + Harder Separation of Variables

Here are the last lessons of Chapter 6!

Thursday 03/01/2018 Part 1/3

Thursday 03/01/2018 Part 2/3

Thursday 03/01/2018 Part 3/3

AP Calculus AB - Wednesday February 28 2018 CH 6.2 Differential Equations: Exponential Growth and Decay

Today is all about using y = Ce^(kt) to help us solve exponential growth or decay problems.

Wednesday 02/28/2018 Part 1/3

Wednesday 02/28/2018 Part 2/3

Wednesday 02/28/2018 Part 3/3

Algebra 2 - Wednesday February 28 2018 Graphing Parabolas Precisely in Vertex Form | Part 2

Today, we incorporated imaginary/complex numbers into graphing parabolas!
Finally, the axis of symmetry has some use!

Wednesday 02/28/2018 Part 1/2

Wednesday 02/28/2018 Part 2/2

Algebra 2 - Monday February 26 2018 Imaginary Numbers

Just like how some of us have real friends and fake friends,
there are real numbers and imaginary ("fake") ones.

Here are the two rounds!

Monday 02/26/2018 Part 1/2

Monday 02/26/2018 Part 2/2

AP Calculus AB - Thursday February 22 2018 CH 6.1 Separation of Variables + Slope Fields

Here are the lessons for CH 6.1!

Thursday 02/22/2018 Part 1/2

Thursday 02/22/2018 Part 2/2

Algebra 2 - Thursday February 22 2018 Solving for x + Graphing Parabolas Review

Nothing new today.
Today's lesson is just to clear up when to do certain things when you solve for x.
We now know many methods to solve for x, so it's best to discern those problems today.
The last three videos are reviewing the parabola graphing problems we've done so far.

Thursday 02/22/2018 Part 1/4

Thursday 02/22/2018 Part 2/4

Thursday 02/22/2018 Part 3/4

Thursday 02/22/2018 Part 4/4

AP Calculus AB - Wednesday February 21 2018 Particle Motion (Revisit)

We reviewed concepts of particle motion.
We then learned displacement versus distance, and how to solve problems about two particles moving towards, away, or in same direction.

Wednesday 02/21/2018 Part 1/3

Wednesday 02/21/2018 Part 2/3

Wednesday 02/21/2018 Part 3/3

Algebra 2 - Wednesday February 21 2018 Graphing Parabolas Precisely in Vertex Form | Part 1

Three rounds for graphing parabolas in vertex form!

Wednesday 02/21/2018 Part 1/3

Wednesday 02/21/2018 Part 2/3

Wednesday 02/21/2018 Part 3/3

Algebra 2 - Tuesday February 20 2018 Solving for x in Vertex Form

Four rounds today on how to solve for x in Vertex form f(x) = a(x - h)^2 + k.

Tuesday 02/20/2018 Part 1/4

Tuesday 02/20/2018 Part 2/4

Tuesday 02/20/2018 Part 3/4

Tuesday 02/20/2018 Part 4/4

AP Calculus AB - Thursday February 15 2018 CH 5.7 Inverse Function Integration

Apologies for the late upload, I had to re-record.
Here is the lesson!

Thursday 02/15/2018 One Video Only

Algebra 2 - Wednesday February 14 2018 Graphing Parabolas from Standard Form to Factored Form | Day 2

We concluded the two-day assignment with this lesson!
Now, we are given the graph. What is the equation?

Wednesday 02/14/2018 One Video Only

AP Calculus AB - Tuesday February 13 2018 CH 5.3 + CH 5.6 Derivatives with Inverse Functions

We combined chapters 5.3 and 5.6 into one lesson!

Tuesday 02/13/2018 Part 1/4

Tuesday 02/13/2018 Part 2/4

Tuesday 02/13/2018 Part 3/4

Tuesday 02/13/2018 Part 4/4

Algebra 2 - Tuesday February 13 2018 Graphing Parabolas from Standard Form to Factored Form | Day 1

This is Day 1 for this work. We will continue tomorrow.
We are graphing parabolas using factored form.

Tuesday 02/13/2018 Part 1/3

Tuesday 02/13/2018 Part 2/3

Tuesday 02/13/2018 Part 3/3

AP Calculus AB - Thursday February 8 2018 Inverse Function Review

Before we get into Calculus inverse functions, we need to revisit inverse functions!
* You can watch these videos in school!

Thursday 02/08/2018 Part 1/4

Thursday 02/08/2018 Part 2/4

Thursday 02/08/2018 Part 3/4

Thursday 02/08/2018 Part 4/4

Algebra 2 - Thursday February 8 2018 Zero Product Property (ZPP) Part 2 + DESMOS

We continued with ZPP when the right side is not equal to zero.
We then used desmos.com to figure out why we are solving for x.
*You can watch these videos in school!

Thursday 02/08/2018 Part 1/5

Thursday 02/08/2018 Part 2/5

Thursday 02/08/2018 Part 3/5

Thursday 02/08/2018 Part 4/5

Thursday 02/08/2018 Part 5/5

AP Calculus AB - Wednesday February 7 2018 CH 5.5 Bases Other Than e

Here are the lessons on the derivatives and integrals if you have bases other than "e".
You can watch these videos in school!

Wednesday 02/07/2018 Part 1/2

Wednesday 02/07/2018 Part 2/2

Algebra 2 - Wednesday February 7 2018 Zero Product Property (ZPP) | Part 1

These are the lessons for ZPP! You can watch these videos in school!

Wednesday 02/07/2018 Part 1/2

Wednesday 02/07/2018 Part 2/2

AP Calculus AB - Tuesday February 6 2018 CH 5.4 Integration of e^x

This is a continuation of the function e^x. You can watch these using school computers!

Tuesday 02/06/2018 Part 1/2

Tuesday 02/06/2018 Part 2/2

Algebra 2 - Tuesday February 6 2018 Factoring III (a = prime and a = not prime)

Here are the videos for this lesson! You can watch these using school computers!

Tuesday 02/06/2018 Part 1/2

Tuesday 02/06/2018 Part 2/2

I Will Now Be Using vimeo.com

Just a quick post to all my current students, parents, and guardians.

I will be using vimeo.com to upload my past lessons starting today, 2/6/2018.

What does this mean for you?

1) My website is not going away, it is still josephlucasmath.blogspot.com.

2) You can now watch my videos in school using school computers. You don't have to worry about videos being blocked.

3) Mobile devices can still access these links.

Algebra 2 - Monday February 5 2018 Factoring II (a = prime)

If you missed the lesson, here they are! These are going to be important for later factoring lessons!

Monday 02/05/2018 Part 1/3

Monday 02/05/2018 Part 2/3

Monday 02/05/2018 Part 3/3

**If you're at school, use these links since YouTube is blocked**

Monday 02/05/2018 Part 1/3

Monday 02/05/2018 Part 2/3

Monday 02/05/2018 Part 3/3

AP Calculus AB - Wednesday January 31 2018 CH 5.2 Integrating (1/x) (cont)

We finished this chapter!

Wednesday 01/31/2018 One Video Only

AP Calculus AB - Tuesday January 30 2018 CH 5.2 Integrating (1/x)

Here are three parts to today's lesson. We will finish tomorrow.

Tuesday 01/30/2018 Part 1/3

Tuesday 01/30/2018 Part 2/3

Tuesday 01/30/2018 Part 3/3

Algebra 2 - Tuesday January 30 2018 Factoring I (a = 1)

Not too bad of a lesson today, just three parts of factoring!

Tuesday 01/30/2018 Part 1/3

Tuesday 01/30/2018 Part 2/3

Tuesday 01/30/2018 Part 3/3

AP Calculus AB - Thursday January 25 2018 Trapezoidal Sum

One video today for approximation of area using trapezoidal sum!

Thursday 01/25/2018 One Video Only

Algebra 2 - Thursday January 25 2018 Adding, Subtracting, and Multiplying Polynomials

Here are those two videos!

Thursday 01/25/2018 Part 1/2

Thursday 01/25/2018 Part 2/2

AP Calculus AB - Wednesday January 24 2018 CH 4.5 Integration with U-Substitution (cont 2)

We FINALLY finished U-sub!

Wednesday 01/24/2018 One Video Only

Algebra 2 - Wednesday January 24 2018 Linear Function 4

Here are the three parts for today!

Wednesday 01/24/2018 Part 1/3

Wednesday 01/24/2018 Part 2/3

Wednesday 01/24/2018 Part 3/3

AP Calculus AB - Tuesday January 23 2018 CH 4.5 Integration with U-Substitution (cont)

We are continuing with u-sub!

Tuesday 01/23/2018 Part 1/3

Tuesday 01/23/2018 Part 2/3

Tuesday 01/23/2018 Part 3/3

AP Calculus AB - Monday January 22 2018 CH 4.5 Integration with U-Substitution

Here are three videos for this lesson! We will finish tomorrow.

Monday 01/22/2018 Part 1/3

Monday 01/22/2018 Part 2/3

Monday 01/22/2018 Part 3/3

Algebra 2 - Monday January 22 2018 Problems Involving Linear Functions 3 (DESMOS)

Here are the videos for the best-fit line! Apologies I could not video how to get on desmos.com, but follow the 2nd video here for instructions.

Monday 01/22/2018 Part 1/2

Monday 01/22/2018 Part 2/2

AP Calculus AB - Wednesday January 17 2018 CH 5.4 Derivative of e^x

We only did the derivative of e^x. We will save the integral next month. We're doing this because of our Math League competition this Saturday.

Wednesday 01/17/2018 One Video Only

Algebra 2 - Wednesday January 17 2018 Problems Involving Linear Functions 2

We now ventured into some word problems, but there's nothing too new! We're utilizing our slopes and y-intercepts to solve these problems, and also learn how to describe them in context.

Wednesday 01/17/2018 Part 1/2

Wednesday 01/17/2018 Part 2/2

AP Calculus AB - Tuesday January 16 2018 CH 5.1 Derivative of Natural Log

Yes, I know, we're not done with CH 4. This is because we have Oahu Math League competition this Saturday, and so, we need to take the time to study derivatives of natural log!

Tuesday 01/16/2018 One Video Only

AP Calculus AB - Friday January 12 2018 Exponents and Logarithms Review | Day 2

This is the last day of review of exponential and logarithmic functions.

Friday 01/12/2018 Part 1/2

Friday 01/12/2018 Part 2/2

Algebra 2 - Friday January 12 2018 Problems Involving Linear Functions 1 (cont)

We continued from yesterday, just one more round when f(x) = g(x)!

Friday 01/12/2018 One Video Only

AP Calculus AB - Thursday January 11 2018 Exponents and Logarithms Review | Day 1

We are stepping away from CH 4 for now because of our math league competition.
We're going to move into exponents and logs for two days. This is day 1 review.

Thursday 01/11/2018 Part 1/3

Thursday 01/11/2018 Part 2/3

Thursday 01/11/2018 Part 3/3

Algebra 2 - Thursday January 11 2018 Problems Involving Linear Functions 1

We had two rounds today, we will finish tomorrow!
Don't be too afraid of fractions!
Thursday 01/11/2018 Part 1/2

Last, problems with function notation.
Thursday 01/11/2018 Part 2/2

AP Calculus AB - Wednesday January 10 2018 CH 4.4 The Definite Integral | Day 3

This is the final part of CH 4.4, this time using the Second Fundamental Theorem of Calculus!
Wednesday 01/10/2018 One Video Only

Algebra 2 - Wednesday January 10 2018 Parallel and Perpendicular Lines, Intro to Functions

The first part today is about parallel and perpendicular lines.
Wednesday 01/10/2018 Part 1/2

The second is plugging in numbers in functions!
Wednesday 01/10/2018 Part 2/2

AP Calculus AB - Tuesday January 9 2018 CH 4.4 The Definite Integral | Day 2

Here's day 2 of CH 4.4!

Tuesday 01/09/2018 Part 1/4

Tuesday 01/09/2018 Part 2/4

Tuesday 01/09/2018 Part 3/4

Tuesday 01/09/2018 Part 4/4

Algebra 2 - Tuesday January 9 2018 Slope & Creating Linear Equations

These are the four parts to today's lesson!

Tuesday 01/09/2018 Part 1/4

Tuesday 01/09/2018 Part 2/4

Tuesday 01/09/2018 Part 3/4

Tuesday 01/09/2018 Part 4/4

AP Calculus AB - Monday January 8 2018 CH 4.4 The Definite Integral | Day 1

This is day 1 of the definite integral! We got more ahead!

Monday 01/08/2018 Part 1/2

Monday 01/08/2018 Part 2/2

Algebra 2 - Monday January 8 2018 Review of Combining Like Terms, Solving for x, Graphing Lines

On the first lesson of Alg 2, we reviewed algebraic concepts.

Combining like terms
Monday 01/08/2018 Part 1/3

Solving for x with different scenarios
Monday 01/08/2018 Part 2/3

Graphing lines
Monday 01/08/2018 Part 3/3