During summer, students tend to forget math and English lessons from the school year that just ended. A list of novels for summer is great, but math teachers are remiss for not assigning math problems. As an example, I would assign one Algebra I problem in the following areas for each week of summer:
(7) Realworld examples: a) how many cans can be picked up given the size of the can and the capacity of the garbage truck? b) how many stiches are needed for a patient whose appendix has been removed? (Show work using variables.) Adobe stock image
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What is a mode in music? It doesn't contain any notes but refers to how the intervals between the notes of a scale are arranged, a particular set of whole steps & half steps (white/black keys of a piano).
I need constant math reminders: Earth’s Population in Perspective
The population of Earth is around eight billion, an interesting figure. However, if you condense eight billion to 100 persons and then into various statistics, the resulting analysis is easier to comprehend. Out of 100: 11 are in Europe 5 are in North America 9 are in South America 15 are in Africa 60 are in Asia & Australia (Oceania) 49 live in the countryside 51 live in cities 75 have mobile phones 25 do not 30 have internet access 70 do not 83 can read 17 are illiterate 33 are Christians 22 are Muslims 14 are Hindus 7 are Buddhists 12 are other religions 12 have no religious beliefs 26 live less than 15 years 66 die between 15 and 64 8 are 65 and over If you own your home, eat full meals and drink clean water, have a mobile phone, can surf the internet, and have gone to college, you are in a privileged lot, less than seven percent. Archaeologists have demonstrated that humankind began in Africa. Here in the Americas, we are all immigrants, including socalled indigenous, and migration is an ongoing process everywhere. Genesis gives us the story of God’s intentions. The equilateral triangle is a symbol of the Holy Trinity. Also, there is the Celtic Trinity Knot opposite. Jacqueline of ahearttoknow.com says, “My daughter and I talked about how God is revealed to us as three different Persons. We labeled one loop as the Father, One as the Son, and One as the Holy Spirit.” And then there is the circle that excites Andy Math. I thought of myself and my parents on the same circle with the Holy Ghost at the center of the circle, not in a direct way, but that is how He came to me. It sounds wacky and tetched, but it really happened. See entry of 1/11/2024 on degenerate triangles where Prime Newtons mentions a
square matrix. An explanation is complicated, so here is a look at a square matrix, Q. I bet most people who had geometry in high school did not learn this. I will present these concepts to Alexander, 10, next time. Is light attracted by gravity? Answered on Quora by Kip Ingram, PhD in Electrical Engineering, The University of Texas at Austin, Cockrell School of Engineering (1992) Newton’s theory of gravity would have said “no,” and since Newton’s theory is the most people are generally exposed to in “early physics education” a lot of people walk around thinking that zero mass [light] implies no gravitational activity. This turns out to be incorrect, though for practical daytoday calculations it’s perfectly good. Einstein gave us an improved theory of gravity in the early 1900’s, and under his theory any form of energy whatsoever both creates gravitational effects and responds to gravitational effects created by other things. Yes, light follows a curved path through a gravitational field that can be calculated using Einstein’s theory. Observation of this light curvature was the first “big confirmation” of Einstein’s new theory and was done using a solar eclipse to allow us to see starlight that passed close to the sun on its way to us. Those stars showed up in the “wrong positions,” but precisely where Einstein’s theory told us to expect to see them. As we approach 2024, it is good to reflect on what came before.
1440 = 1000 + (100 + 500) + (10 + 50) = MCDXL The Gregorian calendar, introduced by Pope Gregory XIII in 1582, replaced its predecessor, the Julian calendar, by Julius Caesar. The new calendar abolished the use of the lunar year and eliminated a threemonth gap that opened up between the civil and astronomical. News service 1440 has 3 million readers. Not an endorsement, but I like what they say about themselves: We don't waste your time with speculative or opinionbased stories. 1440 shares the news that has a significant impact on people, places, or communities. Like what I do. "My math teacher gave me an answer for why some ancient civilizations used a base20, or vigesimal, math system: humans have 10 fingers and 10 toes." "There are 19 people in front of you in line, so you're in the vigesimal spot." "I have an affinity for all things vigesimal: I was born on June 20, I met my husband when I was 20, and my daughter was born on January 20." courtesy of worddaily.com mathmasterytutoring Latin  vīgintī If the average of 10% of a number, 25% of that number, 50% of that number, and 75% of that number is 24, what is the number? Where x is the unknown number...10% x + 25% (10% x) + 50% (25% x 10% x) + 75% (50% x 25% x 10% x)/4. The word of means multiplication. There are four values (10%, 25%, 50%, and 75%), so to get the average, divide by 4.
What are some realworld examples of the formula? Recipes. DIY's. If you got directions like that, you would call the customer service rep to complain, huh? Can you think of better examples? Algorithms have locked onto me because I am on the internet.
Can you explain simply the difference between an algorithm and a logarithm? Answered by Clem Cole, former HPC Arch, Consulting Engineer at Intel 2006–2023, Quora contributor. An algorithm is a process (set of instructions) to be followed to solve a problem…The term was used to define a set of calculations that a mathematician uses to get an answer to a problem. … When electronic calculating machines began to emerge in the late 1950s, early 1960s, the term ‘computer’ was reused to describe the machine that performed those processes, and the term ‘algorithm’ was reused to describe the programming (code) that these new type of computers used to perform the calculation. A logarithm is a mathematical property of a number; specifically, the quantity representing the power to which a fixed number, called the base, must be raised to produce a given number. … The giant property developer is on the verge of bankruptcy. https://www.bloomberg.com/news/videos/20231203/chinaevergrandefacesfinalchancetoavoidliquidationvideo
Simon Kent of Breitbart reported on 3 Dec 2023:
The Biden administration announced Saturday it is sending $3 billion in U.S. taxpayer funds to the U.N.’s flagship Green Climate Fund (GCF) in a move applauded by Special Presidential Envoy for Climate John Kerry. Vice President Kamala Harris announced the cash splash as part of a series of a series of U.S. climate initiatives aired at the COP28 climate conference now underway in Dubai. “We must do more,” UPI reports she scolded leaders at the conference as she announced the gift, but warned “continued progress will not be possible without a fight.” FYI Current US debt: $33,000,000,000,000 Make that: $33,003,000,000,000 The US has the highest debt in the world. As of 2021, the national debt of China was only $12 billion. Math matters. As soon as he started rolling the second circle (paper coin), I got it. (N + 1) Wow! This SAT was in 1982. Mine was in 1969. I plan to recommend Brilliant to Alexander. Why are colleges dropping the SAT? You guessed it  equity.
Nevertheless, preparing for the exam is good for certain careers, like engineering and art. Yes! The confusion between revolution and rotation persists. Also, check my 7/2/2022 post, Sidereal (side real). Did God have all this figured out ahead of time? Hahaha. You know my answer, not on the SAT. Astronomer and mathematician Johannes Kepler (1571 1630) uncovered three major laws of planetary motion, as follows: (1) the planets move in elliptical orbits with the Sun at one focus; (2) the time necessary to traverse any arc of a planetary orbit is proportional to the area of the sector between the central body and that arc (the “area law”); and (3) there is an exact relationship between the squares of the planets’ periodic times and the cubes of the radii of their orbits (the “harmonic law”).
“Those laws are within the grasp of the human mind; God wanted us to recognize them by creating us after His own image so that we could share in His own thoughts.” Kepler got this right. "Christ the Lord neither was, nor is, Lutheran, nor Calvinist, nor Papist." Kepler got that wrong. “…She teamed up with a United States Senator from Indiana, Mike Braun, in a bipartisan letter to the Health and Human Services Department inspector general to reveal some of her concerns surrounding Obamacare.”
… “‘In functioning markets, generic drugs cost 80 to 85 percent less than their namebrand equivalents, giving patients muchneeded relief from high drug costs and saving taxpayer dollars. But patients – including patients in public health care programs like Medicare and Medicaid – who either use or are compelled to use vertically integrated specialty pharmacies are not seeing this relief,’ wrote Warren.” … “The letter from the two senators continued with more mindblowing ‘epiphanies.’ “‘By owning every link in the chain, a conglomerate like UnitedHealth Group – which includes an insurer, a PBM [pharmacy benefit manager], a pharmacy, and physician practices – can send inflated medical payments to its pharmacy. Then, by realizing those payments on the pharmacy side – the side that charges for care – rather than the insurance link of business appears to be in compliance with MLR [medical loss ratio] requirements, while keeping more money for itself,’ said the senators.” … https://conservativeinstitute.org/conservativenews/evendemocratsknowobamacareisntworking.htm A little complicated for us, but I think we get the drift. Current California debt is $586 billion; current United States debt is $33 trillion. I say we dump all politicians and elect accountants. They would never let a state, a nation go into debt. They would say, “I’m sorry, there is no money for that.” My parents ran the household as if they were accountants. I operated my business that way, and the same for my household. graph courtesy of accountsjunction.com
Drake, Fermi, Hanson  37,000 views  not bad.
“One joule is defined as the work done when a force of one Newton is moved through one meter. It can also be defined in terms of electrical energy as one amp moved through one volt of potential difference, or one Watt. “So, in terms of energy, 4.18 joules is the actual measured amount of energy it takes to raise the temperature of one gram of water by one degree Celsius.”  Eric Henderson, Quora The video owner makes a good point about computeraided learning. However, when it comes to tutoring, and although I use the internet to prepare for a lesson, it’s only test prep books, a grammar book, a math book, and paper and pencil that we use during the tutoring hour. Exception: We’ve done a few simple science experiments on the dining room table, covered by a plastic sheet. Everything else, everything that comes not from a book, becomes a galactic distraction! However, what is the state of my soul? The Gospel for the Twentyfourth and Last Sunday after Pentecost (11/26/2023) was about the end times. The sermon was about the end of the end times and that I must be vigilant and remain in a state of sanctifying grace. Why does an atom’s shell specifically contain, 2, 8, 8, etcetera, electrons?
Answered by Jeremy Garrett, MA Physics “Take a circle, measure the outside (the circumference), then draw a straight line of that length. Now draw a wave that starts at one end [of the line] and finishes at the other [end] — be sure to draw a single full wave with one up (crest) and one down (trough). “Take this drawing (or make a new one) and have it follow the original circle rather than the straight line. You just made an “Sorbit” (or spherical orbit)! “Go around clockwise, then make a new wave going around counterclockwise. Now you’ve made a pair of electron orbits in the “Sorbit” form. You’ve now modeled hydrogen (if you only drew one) or helium if you drew both! “Do the same thing but this time make two full waves (up one octave) instead of only one full wave. The original sorbit drawing looks like a circle that is offset from the original (kind of Bohring, ha ha). The porbital forms the shape of a bowling pin. “To fill the space in your drawing, you can shift over and make 3 of the bowlingpin shapes. You can then go clockwise and counterclockwise with both; doing so gives you 6 more orbits. Ta da, 2 + 6 = 8. It’s that simple. “If you go up another octave you get the dorbitals, and one more gives you the forbitals. “Wolfram Alpha is one of several sites that lets you draw these with a computer rather than having to do it by hand.” Sound like music? That’s why Quora electrifies me. The Moon governs tides. The Thames (těmz) has two tides each day, as does San Francisco Bay. When the tide rises, the average high tide height at London Bridge (Tower Pier) is 6.5m, and muddy banks disappear. The site dummies.com is right for me.
The numbers 16 __ __ 49 are squared numbers. What is the sum of the missing numbers? Solution: 16 = 4 squared, 49 = 7 squared Therefore, the missing squared numbers between 16 and 49 must be 5 and 6. Hence, the sum of the missing numbers = 25 + 36 = 61. Advice: if possible, when dealing with big numbers, break them up into small numbers, like the digits on your hand, because many of us do not know what 14 squared is without a calculator, and you may not be allowed to use a calculator. In my time in high school, there were no calculators, just that d**n slide rule. “Dad says that anyone who can’t use a slide rule is a cultural illiterate and should not be allowed to vote. Mine is a beauty – a K&E 20inch Loglog Duplex Decitrig” – Have Space Suit  Will Travel, '58, by Robert A. Heinlein (19071988)sliderulemuseum.com/SR_Course.htm O, hang yourself, Robert!
Check out this site for math games suitable for students from about 6th grade through high school. The games are realworld situations in a variety of careers. I'm going to play one. https://www.thirteen.org/getthemath/
I chose the 'Math in Special Effects' video. The students arrived at this equation: where I is light intensity, and K is the constant, and d is the distance, I = K/d squared, which describes an inverse square relationship. “The Treasury Department posted a $1.7 trillion debt for the past fiscal year, according to Fox Business. “The deficit reportedly grew by 23%, including $879 billion to service current debt. [That is interest paid on debt, like interest you paid on your home mortgage. Yes, governments borrow money and pay interest on it.] “‘The impetus for these massive deficits is federal government spending, which tipped the scales at $6.1 trillion last year. Government receipts [money received], meanwhile, were $4.4 trillion, woefully short of the $5 trillion previously forecasted,’ the report stated. “‘A slowing economy and counterproductive tax increases were key drivers behind the $457 billion drop in receipts from the prior fiscal year,’ it added.” https://conservativejournalreview.com/treasuryrevealsseriousproblemsaheadforuseconomy/? I dare you to look at the running debt clock...https://www.usdebtclock.org/ the economist

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