Quick, or less quick, college algebra post, and very little Mass Transit

The common good, and the roadways, for we who lack confidence on bicycles, must become more fully inclusive for all of us, partly by including Public Transportation in the economic mix, along with various forms and levels of education.  

This lesson plan:  Algebra_notes_Functions_vs_Relations_and  is from when I taught college Algebra, and I hope that it may be of some use to someone.

 

So, it turns out that that very semester, ten years after I’d first been told not to use math journals, among other things, by the veteran teacher supervising my student teaching, I did employ math journals, to very good effect.  Well, I had my students do the math journaling, but I was also teaching community college algebra rather than high school.

Action Items:

1.) Search for two different sources related to functions versus relations.

2.) Share them with us in the comments, here, please.  And quick: what’s the function in the Featured Image for this post?  🙂

3.) Share your thoughts on how a math journal might help, or hinder, inclusive thinking,

4.) Write a story, post or tweet that uses your thoughts.

Dear Readers, ideas on learning, especially multiple #LanguageLearning, on-going education and empathy-building, to #EndPoverty, #EndHomelessness,  #EndMoneyBail & achieve freedom for All HumanKind? 

Support our key #PublicDomainInfrastructure  & #StopSmoking for CCOVID-19:
1. #PublicLibraries,
2. #ProBono legal aid and Education,
3. #UniversalHealthCare, and
4. good #publictransport
Read, Write -one can add Stayed on Freedom’s Call via this GoodReads button:

, Vote (pref. using RankedChoiceVoting), Teach and Learn (Lesson Plans)!

 

Nih sakh sh’lekk, sleem wa.   Yassas,   γεια σας!    Salût !  Nos vemos!  Görüşürüz!     ! שָׁלוֹם

ShiraDest

February, 2021 CE = February 12021 HE

(The previous lesson 67/67 , and the most recent lesson 1/67…)

Stayed on Freedom’s Call
(free: https://archive.org/details/StayedOnF…)
includes two ‘imagination-rich’ walking tours, with songs, of Washington, DC. New interviews and research are woven into stories of old struggles shared by both the Jewish and African-American communities in the capital city.

Shared histories are explored from a new perspective of cultural parallels and parallel institution-building which brought the two communities together culturally and historically.

Free copies are available at https://archive.org/details/StayedOnF…

Shira Destinie Jones by ShiraDest is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

updates on PDF and a first cut ePub for GED in 5 Months book

So, it turns out that this PDF, GED5MonthsNoPics which I used Open Office to convert from my rtf document, does save the links, but depending on which viewer you use, the links don’t actually get shown in a different color (though perhaps that depends on your PDF reader settings).

And it looks like WordPress will not allow me to add an ePub file to my Media, thought I’ve just tested the file, and that one does seem to work properly, so I’ll have to post it elsewhere and link to it, I guess.

Thoughts, please?

 

Dear Readers, ideas on learning, especially multiple #LanguageLearning, on-going education and empathy-building, to #EndPoverty, #EndHomelessness,  #EndMoneyBail & achieve freedom for All HumanKind? 

Support our key #PublicDomainInfrastructure  & #StopSmoking for CCOVID-19:
1. #PublicLibraries,
2. #ProBono legal aid and Education,
3. #UniversalHealthCare, and
4. good #publictransport
Read, Write -one can add Stayed on Freedom’s Call (see more below…) via this GoodReads button:

, Vote (pref. using RankedChoiceVoting), Teach and Learn (Lesson Plans)!

 

Nih sakh sh’lekk, sleem wa.  

ShiraDest

February, 2021 CE = February 12021 HE

(The previous lesson 67/67 and then to start again, fresher, published since this post, and the most recent Newest version of lesson 1/67…)

Stayed on Freedom’s Call
(free: https://archive.org/details/StayedOnF…)
includes two ‘imagination-rich’ walking tours, with songs, of Washington, DC. New interviews and research are woven into stories of old struggles shared by both the Jewish and African-American communities in the capital city.

Shared histories are explored from a new perspective of cultural parallels and parallel institution-building which brought the two communities together culturally and historically.

Free copies are available at https://archive.org/details/StayedOnF…

Shira Destinie Jones by ShiraDest is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Day 67/67 of GED in Five Months, language learning, and Adulting

 To take full part in modern society in a meaningful and useful way, every Adult must understand the meaning of a given word in the context under discussion.  The word range, for instance, can refer to mountains, a list of numbers, or to a set of frequencies, among other things.  The fact that the same word can have different meanings, even though sometimes subtly different, makes the learning of mathematical and scientific language crucial to the shared decision-making that every adult citizen in a republic agrees to take part in, and thus to continue the responsibility to keep learning, as part of responsible Adulting.

Today’s reading uses the mathematical meaning of range to define large and small distances. (Vice versa, actually):

“ Visible light has a wavelength range from ~400 nm to ~700 nm. Violet light has a wavelength of … Visible light makes up just a small part of the full electromagnetic spectrum. Electromagnetic waves with shorter wavelengths and higher frequencies include ultraviolet light, X-rays, and

…”

 Week 18/18

Day 67 lesson plan

Grammar: Concluding sentences

Math: Range

Science: reading , and a little bit of stats…

Please see the Lesson plan for Day 67’s Exit Tickets

Action Items:  

1.) How have you used this set of posts, if you follow this blog regularly?

2.) Please tell us where the information for today’s reading comes from, how you know that the sources are reliable, and who funded them,

3.)  Feel free to answer the exit ticket questions in the comments, or pose any other questions you may have about the lesson, if you wish.

Dear Readers, ideas on learning, especially multiple #LanguageLearning, on-going education and empathy-building, to #EndPoverty, #EndHomelessness,  #EndMoneyBail & achieve freedom for All HumanKind? 

Support our key #PublicDomainInfrastructure  &  for heavens sake: please #StopSmoking for CCOVID-19 (or even for good!)!:
1. #PublicLibraries,
2. #ProBono legal aid and Education,
3. #UniversalHealthCare, and
4. good #publictransport
Read, Write -one can add Stayed on Freedom’s Call via this GoodReads button:

, Ranked Choice Voting and Housing for ALL!!, Teach and Learn (Lesson Plans)!

Nih sakh sh’lekk, sleem wa…

ShiraDest

January, 2021 CE = January 12021 HE

(Day 66 … Day 1)

Shira Destinie Jones by ShiraDest is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Day 66/67 of GED in Five Months, Pandas, and healthy populations?

 To apply the concepts of mean, median and mode, as a review topic while those readers who may be using this series of posts begin final preparations for taking the 5 subject exams (or those subject exams which they have not yet taken, since the HiSET allows each of the subject tests to be taken at different times, which was most recommended when I taught Adult Education), we look at a fun topic: Pandas!

Since averages and populations always run toward health statistics, please take a spare moment, when you have time, to look up some health statistics in your area, if you will.

Today’s reading discusses populations, median vs. mean (aka average), and Pandas…

“ Let’s look at the population. To calculate the mean we should add all countries’ population values to each other and then divide this sum by the number of countries in our dataset. Fortunately, Pandas can do it for us. …”

 Week 18/18

Day 66 lesson plan

Grammar: run on sentences

Math: Averages (Mean, Median and Mode)

Science: see the reading above and the Action Item questions below, please…

Please see the Lesson plan for Day 66’s Exit Tickets

Action Items:  

1.) Who was this article written by, and for what audience, and how do we know that the author’s facts are correct?

2.) Please tell us where the information for today’s reading comes from, how you know that the sources are reliable, and who funded the initial (or first-hand source) data,

3.)  Feel free to answer the exit ticket questions in the comments, or pose any other questions you may have about the lesson, if you wish.

Dear Readers, ideas on learning, especially multiple #LanguageLearning, on-going education and empathy-building, to #EndPoverty, #EndHomelessness,  #EndMoneyBail & achieve freedom for All HumanKind? 

Support our key #PublicDomainInfrastructure  &  for heavens sake: please #StopSmoking for CCOVID-19 (or even for good!)!:
1. #PublicLibraries,
2. #ProBono legal aid and Education,
3. #UniversalHealthCare, and
4. good #publictransport
Read, Write -one can add Stayed on Freedom’s Call via this GoodReads button:

, Ranked Choice Voting and Housing for ALL!!, Teach and Learn (Lesson Plans)!

Nih sakh sh’lekk, sleem wa…

ShiraDest

January, 2021 CE = January 12021 HE

(Day 65 … Day 67)

Shira Destinie Jones by ShiraDest is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Day 65/67 of GED in Five Months, Parabolas, and Public Libraries

Parabolas describe falling, thrown, (or ?) objects: symmetry is … symmetrical.

–Clearly, a library at each campus of each Adult /Continuing Education site would be helpful, as well as quiet study cubicles, for those with no place to study at home.

Continuing to learn, and helping others continue to learn, helps our society, so I am posting these lesson plans in the hope of helping others to help themselves to learn, whether one has yet to finish High School, or merely wants a refresher.

But, the fun parabola question is: will this space tour transportation (rocket) travel in the form of a parabola on the way to and from the Space Station?  Babylon 5, we’re almost there! 

“

Axiom Space said three private individuals and a former NASA astronaut will fly aboard SpaceX’s Crew Dragon capsule for an eight-day stay on the station.

…”

 Week 18/18

Day 65, week 18

Grammar: Essay Writing -Continue working on your Conclusion paragraph

Math: parabolas and the axis of symmetry

Science: reading , and a little algebra to go with it…

Please see the Lesson plan for Day 65’s Exit Tickets

Action Items in support of literacy and hope that you can take right now:

1.) Search for two different sites about parabolas

2.) Please tell us where the information for today’s reading comes from, how you know that the sources are reliable, and who funded them,

3.)  Feel free to answer the exit ticket questions in the comments, or pose any other questions you may have about the lesson, if you wish.

Dear Readers, ideas on learning, especially multiple #LanguageLearning, on-going education and empathy-building, to #EndPoverty, #EndHomelessness,  #EndMoneyBail & achieve freedom for All HumanKind? 

Support our key #PublicDomainInfrastructure  &  for heavens sake: please #StopSmoking for CCOVID-19 (or even for good!)!:
1. #PublicLibraries,
2. #ProBono legal aid and Education,
3. #UniversalHealthCare, and
4. good #publictransport
Read, Write -one can add Stayed on Freedom’s Call via this GoodReads button:

, Ranked Choice Voting and Housing for ALL!!, Teach and Learn (Lesson Plans)!

Nih sakh sh’lekk, sleem wa…

ShiraDest

January, 2021 CE = January 12021 HE

(Day 64 … Day 66)

Shira Destinie Jones by ShiraDest is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Day 64/67 of GED in Five Months, lines and laws, and transporting us Ad Astra!

 To the stars!    But, how do we get there?

Today’s reading discusses Newton’s proofs of Kepler’s earlier laws, based on both observation and mathematics.  After all, if we can see it, but don’t know how much food and fuel we need to get there, it might be a longer trip than we thought!

“ Newton’s Principia (Mathematical Principles of Natural Philosophy, 1687), the foundational work of modern science. Newton used classical geometry and the emerging techniques of differential and integral calculus to give mathematical derivations from general fundamental principles of essentially all the quantitative physical laws known at the time.One of the main achievements was the derivation of Kepler’s laws from an inverse square law for gravity …”

 End of Week 17/18

Day 64 lesson

Grammar: Compound sentences

Math: comparing slope of two or more lines

Science: reading science history, with the help of a little math…

Please see the Lesson plan for Day 64’s Exit Tickets

Action Items:  

1.) And if two lines have both the same slope, and the same equation, then what are they?

2.) Please tell us where the information for today’s reading comes from, how you know that the sources are reliable, and who funded them,

3.)  Feel free to answer the exit ticket questions in the comments, or pose any other questions you may have about the lesson, if you wish.

Dear Readers, ideas on learning, especially multiple #LanguageLearning, on-going education and empathy-building, to #EndPoverty, #EndHomelessness,  #EndMoneyBail & achieve freedom for All HumanKind? 

Support our key #PublicDomainInfrastructure  &  for heavens sake: please #StopSmoking for CCOVID-19 (or even for good!)!:
1. #PublicLibraries,
2. #ProBono legal aid and Education,
3. #UniversalHealthCare, and
4. good #publictransport
Read, Write -one can add Stayed on Freedom’s Call via this GoodReads button:

, Ranked Choice Voting and Housing for ALL!!, Teach and Learn (Lesson Plans)!

Nih sakh sh’lekk, sleem wa…

(RIP, Mira Furlan/Delenn…)

ShiraDest

January, 2021 CE = January 12021 HE

(Day 63 … Day 65)

Shira Destinie Jones by ShiraDest is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Day 63/67 of GED in Five Months, sedimentary rocks, and Public Libraries

By now, we should all know how entropy connects with motion, so what can entropy possible have to do with rocks, since rocks never move in any way, or do they?  Maybe your local branch’s Reference Librarian can help you find out…

Today’s reading :

“ Sedimentary rocks are formed from pre-existing rocks or pieces of once-living organisms. They form from deposits that accumulate on the Earth’s surface. Sedimentary rocks often have distinctive layering or bedding. Many of the picturesque views of the desert southwest show mesas and arches made of layered sedimentary rock.

…”

 Week 17/18

Day 63 lesson plan

Grammar: Adverbs

Math: Linear relationships from a table of data

Today’s reading comes from where?

Please see the Lesson plan for Day 63’s Exit Tickets

Action Items:  

1.) Did you see any interesting facts about your home area, those who live in the SouthWestern United States?

2.) Please tell us where the information for today’s reading comes from, how you know that the sources are reliable, and who funded them,

3.)  Feel free to answer the exit ticket questions in the comments, or pose any other questions you may have about the lesson, if you wish.

Dear Readers, ideas on learning, especially multiple #LanguageLearning, on-going education and empathy-building, to #EndPoverty, #EndHomelessness,  #EndMoneyBail & achieve freedom for All HumanKind? 

Support our key #PublicDomainInfrastructure  &  for heavens sake: please #StopSmoking for CCOVID-19 (or even for good!)!:
1. #PublicLibraries,
2. #ProBono legal aid and Education,
3. #UniversalHealthCare, and
4. good #publictransport
Read, Write -one can add Stayed on Freedom’s Call via this GoodReads button:

, Ranked Choice Voting and Housing for ALL!!, Teach and Learn (Lesson Plans)!

Nih sakh sh’lekk, sleem wa…

(RiP, Mira Furlan, aka Delenn…)

ShiraDest

January, 2021 CE = January 12021 HE

(Day 62 … Day 64)

Shira Destinie Jones by ShiraDest is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Day 62/67 of GED in Five Months, Perpetual Motion, and graphic proof

If proof lies in seeing with our own eyes, then those ideas which you can graph and derive from laws must be true, or are they?

Like the moon forever in orbit around the earth, some proofs take a bit more time than others…

Today’s reading: Newton’s laws of motion need to be examined in greater detail in order to answer questions that derive from those laws, just as in mathematics, one derives a proof from various postulates and laws of mathematics.

“ As it turns out, the moon is very nearly a perpetual motion machine. It goes around the earth every month and has been doing so at almost constant speed for a very long time. Even so, with advanced instruments and careful measurements, we can determine that the moon’s motion is changing: it gets farther away from the earth on average by about two centimeters each year. Why? 

…”

 Week 17/18

Day 62 lesson plan

Grammar: Sentence Fragments Review

Math: Systems of equations with graphing

Science reading: Is it Newton, or something more?

Please see the Lesson plan for Day 62’s Exit Tickets

Action Items:  

1.) How many different primary sources can you find in 10 minutes that define perpetual motion?

2.) Please tell us where the information for today’s reading comes from, how you know that the sources are reliable, and who funded them,

3.)  Feel free to answer the exit ticket questions in the comments, or pose any other questions you may have about the lesson, if you wish.

Dear Readers, ideas on learning, especially multiple #LanguageLearning, on-going education and empathy-building, to #EndPoverty, #EndHomelessness,  #EndMoneyBail & achieve freedom for All HumanKind? 

Support our key #PublicDomainInfrastructure  &  for heavens sake: please #StopSmoking for CCOVID-19 (or even for good!)!:
1. #PublicLibraries,
2. #ProBono legal aid and Education,
3. #UniversalHealthCare, and
4. good #publictransport
Read, Write -one can add Stayed on Freedom’s Call via this GoodReads button:

, Ranked Choice Voting and Housing for ALL!!, Teach and Learn (Lesson Plans)!

Nih sakh sh’lekk, sleem wa…

(RiP, Mira Furlan, aka Delenn…)

ShiraDest

January, 2021 CE = January 12021 HE

(Day 61 … Day 63)

Shira Destinie Jones by ShiraDest is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Day 61/67 of GED in Five Months, language as a function of context, and Adult decision-making as a function of community

Our language varies based on the context in which that language is used. Mathematical language always has a very specific meaning and a precise context: the mathematical context.  We use words everyday that have different meanings, precise meanings, in different contexts.  An Adult must understand the specific meaning of a given word before making decisions that will affect anyone, including just themselves, since our decisions never really affect only ourselves, do they?

Today’s reading starts looking at functions as applied in our physical world:

“ force F as a function of time. …”

 Week 17/18

Day 61 Lesson Plan

Essay Writing -Continue working on your concluding paragraph

math: Identifying and evaluating functions

Science reading:

Please see the Lesson plan for Day 61’s Exit Tickets

Action Items:  

1.) Did you see any interesting new mathematics (for once you finish this course and move on to higher level learning) on the reading page?  Does it look interesting?

2.) Please tell us where the information for today’s reading comes from, how you know that the sources are reliable, and who funded them,

3.)  Feel free to answer the exit ticket questions in the comments, or pose any other questions you may have about the lesson, if you wish.

Dear Readers, ideas on learning, especially multiple #LanguageLearning, on-going education and empathy-building, to #EndPoverty, #EndHomelessness,  #EndMoneyBail & achieve freedom for All HumanKind? 

Support our key #PublicDomainInfrastructure  &  for heavens sake: please #StopSmoking for CCOVID-19 (or even for good!)!:
1. #PublicLibraries,
2. #ProBono legal aid and Education,
3. #UniversalHealthCare, and
4. good #publictransport
Read, Write -one can add Stayed on Freedom’s Call via this GoodReads button:

, Ranked Choice Voting and Housing for ALL!!, Teach and Learn (Lesson Plans)!

Nih sakh sh’lekk, sleem wa…

(RiP, Mira Furlan, aka Delenn…)

ShiraDest

January, 2021 CE = January 12021 HE

(Day 60 … Day 62)

Shira Destinie Jones by ShiraDest is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Day 60/67 of GED in Five Months, constant rate of change med. reactions, and Health Care science for Adults

We use health care related words every day, but do we see how those words are related to the mathematics and to the concepts that we must remember, or relearn, from our science basics?  Noting the relationships and patterns between various interacting concepts are important for every Adult in a republic, where we each have a responsibility to understand public health care issues, and to help protect one another.

Today’s reading starts looking at chemical reactions, and the concept of half-life of a reaction, which is a linear relationship to the starting point of the reaction:

“The half-life of a reaction, t_1/2, is the amount of time needed for a reactant concentration to decrease by half compared to its initial concentration. Its application is used in chemistry and medicine to predict the concentration of a substance over time. The concepts of half life plays a key role in the administration of drugs into the target, especially in the elimination phase, where half life is used to determine how quickly a drug decrease in the target after it has been absorbed in the unit of time (sec, minute, day,etc.) or elimination rate constant ke (minute^-1, hour^-1, day^-1,etc.). It is important to note that the half-life is varied between different type of reactions. The following section will go over different type of reaction, as well as how its half-life reaction are derived. …”

 Week 16/18

Day 60 lesson plan, Week 16

Grammar: Review of compound subjects and coordinating conjunctions

Math: Write an equation given two points

Health science: dose absorption and rate of change…

Please see the Lesson plan for Day 60’s Exit Tickets

Action Items:  

1.) Did you see a familiar graph on the reading page?

2.) Please tell us where the information for today’s reading comes from, how you know that the sources are reliable, and who funded them,

3.)  Feel free to answer the exit ticket questions in the comments, or pose any other questions you may have about the lesson, if you wish.

Dear Readers, ideas on learning, especially multiple #LanguageLearning, on-going education and empathy-building, to #EndPoverty, #EndHomelessness,  #EndMoneyBail & achieve freedom for All HumanKind? 

Support our key #PublicDomainInfrastructure  &  for heavens sake: please #StopSmoking for CCOVID-19 (or even for good!)!:
1. #PublicLibraries,
2. #ProBono legal aid and Education,
3. #UniversalHealthCare, and
4. good #publictransport
Read, Write -one can add Stayed on Freedom’s Call via this GoodReads button:

, Ranked Choice Voting and Housing for ALL!!, Teach and Learn (Lesson Plans)!

 Nos vemos!  

ShiraDest

January, 2021 CE = January 12021 HE

(Day 59 … Day 61)

Shira Destinie Jones by ShiraDest is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.