Factors 139 and Factors 140

Friday, September 25, 2020




Finding the Factors of 139 and 140

What are the factors of 139?
139 is a prime number so the only factors are 1 and 139
What are the factors of 140?
The factors of 140 are,
1,2,4,5,7,10,14,20,28,35,70,140
The prime factorization of 140 equals,
2,2,5,7
Finding factors is an important Math Skill.

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Top 7 Videos on Overcoming Obstacles

Wednesday, September 23, 2020

Top 7 Videos on Overcoming Obstacles 

If you are trying to accomplish anything in life you will face challenges. I love the podcast “ How I built this” which interviews people who start many of the companies we are familiar with. In every episode, I’m amazed at the number of obstacles these people overcome to reach their goal. For example, Sal Khan of Khan Academy quit his high paying job to start Khan Academy and after 5 months he had no large donors, a mortgage, and bills to pay, was so worried about his finances he literally couldn’t sleep. But he faced these obstacles and overcame them.

Overcoming obstacles



Overcome Obstacles-TedEd
Almost everything TedED does is high quality. The message of this video is to focus on what you can do, not on what I can't do.

Derrick Coleman Hopes to Inspire Kids to Overcome Obstacles
The hearing-impaired Seattle Seahawks fullback teaches you to overcome obstacles with his inspirational memoir, "No Excuses."

Overcoming Obstacles for Students
Learn four practical steps to help with overcoming obstacles.

The boost students need to overcome obstacles | Anindya Kundu
How can disadvantaged students succeed in school? For sociologist Anindya Kundu, grit and stick-to-itiveness aren't enough; students also need to develop their agency, or their capacity to overcome obstacles and navigate the system.

Successful People Who Overcame Obstacles
Learn about household names that had to fight and overcome very challenging obstacles. You will learn that even the most successful people had to overcome challenging events in their road to success.

Overcoming Obstacles
A fun and motivating animated video about overcoming obstacles.

Overcomer Animated Short | Hannah Grace
A short animated film on overcoming obstacles. This is a great and moving video with 6.6 million views.

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Factors of 58

Friday, September 18, 2020



Factors of 58 

58 is a composite number.
The factors include 1, 2, 29, 58

In pairs,
1 and 58
2 and 29

The prime factors of 58 
2  and 29

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Meet the 5 Dwarf Planets





Meet the Five Dwarf Planets


According to the International Astronomical Union (IAU) there are currently five planets classified and accepted as dwarf planets: Ceres, Pluto, Makemake, Haumea, and Eris.

These dwarf planets are much smaller than the Earth.

Here is Pluto compared to the Earth.


Ceres vs Earth Size


Except for Ceres, which is found in the main asteroid belt, these dwarf planets are located beyond Neptune in the Kuiper Belt.


How is a dwarf planet different from a planet?

According to the IAU International Astronomical Union 

A planet must meet these three guidelines.

1. Orbit the Sun

2. Have enough mass to assume a hydrostatic equilibrium. 

    In other words, have a round shape.

3  Have enough mass to have cleared the neighborhood around its orbit.


A dwarf planet has satisfied 1 and 2 of the qualifications but does not have the mass to clear its neighborhood of all objects in its orbit by either collision, capture, or gravitational disturbance.


Ceres which is found in the asteroid belt and is smaller than Earth's Moon. Ceres is heavily cratered with large amounts of ice underground. Ceres does not have a moon.


Pluto is the first large object discovered in the Kuiper belt and was considered a planet for many years. Pluto is 39 Astronomical units from the sun compared to Ceres which is only  2.8 au away from the sun.

Pluto has 5 moons to revolve around it. 

Here is the size of Pluto compared to the Earth.


Size Pluto vs Earth


Makemake
is located in the Kuiper belt it may have one moon. Here its size compared to Pluto.


Haumea is located in the Kuiper belt. This dwarf planet has a distinctive egg shape because it rotates rapidly. Haumea has two moons. 


Eris has a diameter slightly smaller than pluto but is the most massive of the dwarf planets. It is found on the edge of the Kuiper belt. At times Eris will be almost three times further away from the sun as Pluto.

Eris was considered the tenth planet by NASA  until August of 2006 when the IAU defined dwarf planets 

Eris has one moon.

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Angles on one side of a straight line

Wednesday, September 16, 2020


Angles on one side of a straight line

The angles on one side of a straight line always add to 180 degrees.

When a line is cut into two and we know one angle, we can always find the other one.

The two angles are supplementary, which means they add to 180 degrees.

For example, if one angle is 40 degrees we know the other angle is 140 degree.

Angle a equals 180°- 40° = 140°


or if one angle is 80 degrees we know the other angle will be 100 degrees.


Angle a equals 180° - 80° = 100°

This method can be used for several angles on one side of a straight line.

Angles on a straight line


Example: What is angle "b" in the picture above?

Angle b is 180° minus the sum of the other angles.

Sum of known angles = 40° + 20° + 15° = 75°

Angle b = 180° − 75°

Angle b = 105°

In summary the angles on one side of a line 180 degrees.

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Alternate Exterior Angles

Types of Triangles









Solar System vs Galaxy vs Universe

Tuesday, September 15, 2020



Solar system vs Galaxy vs Universe

Our solar system located in the Orion arm of the milky way galaxy. Our solar system consists of the Sun and the objects that orbit it. This includes several objects, including the planets
The eight planets in order from the sun are, 
Mercury,Venus,Earth,Mars,Jupiter, Saturn, Uranus, and Neptune.


Planets in order

Indirect objects include the moons that revolve around the planets.
There are over 200 moons in our solar systems.
In addition you have dwarf planets which include Pluto and Eris and SSSBs ( small solar system bodies) which are: comets, asteroids, and trans-Neptunium objects. 

A galaxy is a gravitational bound  collection of stars, along with their planets, gas,dust, and dark matter.
There are three main types of galaxies, Elliptical, Spiral, and Irregular.
types galaxies


Galaxies range in size from dwarfs with just a few hundred million stars to giants with one hundred trillion stars, each orbiting its galaxy's center of mass.

It is estimated that there are over 1 billion galaxies
Each of the light in this picture created from Hubble telescope observations is a galaxy.

Finally, The universe is a vast expanse of space which contains all of everything in existence. The universe contains all of the galaxies, stars, and planets. The exact size of the universe is unknown. Scientists believe the universe is still expanding outward.

The universe

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What do images look like in a Concave and Convex Mirror?

Saturday, September 12, 2020

Concave mirrors are mirrors that are thinner in the middle compared to the edges.
As a result, light rays are focused in front of the lens, and images are enlarged close to the mirror.
Notice how the bulldog is enlarged in the concave mirror.

image in concave mirror

The image will be maximized when it is at the focal point.
See the image below.

image in concave mirror

Beyond the focal point, the image begins to get smaller and is inverted.
See below.

image in concave mirror

A convex mirror is a mirror that is wider in the middle compared to the edges.
As a result, light is spread out and a convex mirror creates a panoramic image but the image is not inverted.
See the image below.

image in a convex mirror

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