The 5 Best Videos on Rounding Numbers

Wednesday, September 30, 2020

The 5 Best Videos on " Rounding Numbers"


How do you round 5.67 to the tenths?
If you don't know the rounding rules this can be frustrating.

These 5 videos will help. 

Rounding top 5. videos


This video by MooMooMath covers the basic rules of rounding, works several example problems, and has a jingle to help "5 or more raise the score."

This video has 1.7 million views and is very helpful. The people at Math Antics always do a great job in making Math seem easy.

This video by the organic chemist is helpful and is geared for adults who maybe forgot how to round. The teacher at organic chemistry has a gift for teaching.

Five or more raise the score, four or less let it rest. By the end of this video, you will not forget this saying about rounding. It is set to the tune of, "we will rock you."

If you need to get your class moving or need hand motions to help remember the rules of rounding then this video will be helpful.

I hope you can find a video to help you learn how to round properly with this list. I provided a variety of teaching techniques from songs to just basic teaching.

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LCM and GCF of 5 15 20

Tuesday, September 29, 2020

What are the LCM and the GCF of 5 15 and 20?

In order to find the least common multiple of these three numbers, you can use the prime factorization of each number. I like to use a factor tree.

Here is a chert of the prime factors of each number.

5     5
15   5  3 
20   5   2 2

Next for the LCM multiply 5 x 3 x 3 = 60

For the GCF the only number found in all three prime factors is 5 so that is your GCF

In summary,
LCM of 5,15,20 = 60
GCF of 5,15,20 = 5

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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 with Guy Raz” 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 must overcome to reach their goals.

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

Factors of 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




What are 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.

Size Pluto vs Earth

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.

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.

Related Links

Alternate Exterior Angles

Types of Triangles









Solar System vs Galaxy vs Universe

Tuesday, September 15, 2020



Solar system vs Galaxy vs Universe

Which is larger, a galaxy,universe, or solar system?
The following picture breaks down the size of these objects.
relative size universe galaxy
As you move down the triangle each object gets smaller

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
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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Factors of 85 and 86

Friday, September 11, 2020

What are the factors of 85 and 86?

The factors of 85 = 1,5,17,85
The prime factors of 85 = 5,17

The factors of 86 = 1,2,43,86
The prime factors of 86 = 2,43

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Vertical Angles Explained

Thursday, September 10, 2020

Vertical Angles Explained


When two lines cross the lines create angles.


Vertical angles are the angles opposite each other when two lines cross and share the same vertex. 


They are always congruent which means equal.


vertical angles

In this example 40° and 40° are vertical angles and 140° and 140°.


"Vertical" refers to the vertex (where they cross), labeled with the yellow dot and not up and down location. 


Notice that two pairs of vertical angles are created.


A classic example you may see with vertical angles is this example.


Find the missing angles.


vertical angles problem

Because b° is vertically opposite 30°, it must also be 30°

A full circle is 360°, so that leaves 360° − 2×30° = 300°

Angles a° and c° are also vertical angles, so 300 divided by 2 = 150 which means they are 150° each. 

Answer: a = 140°, b = 40° and c = 140°.

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Factors of 87 and 88

Wednesday, September 9, 2020

What are the factors of 87 and the factors of 88?

The factors of 87
87 = 1, 3, 29, 87
Pairs 1 87
3 29
Factors of 88 = 1, 2, 4, 8, 11, 22, 44, 88
Pairs 1 88
2 44
4 22
8 11

Prime Factors of 87
3 and 29

Prime Factors of 88
2,2,2,11


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Boron Group- Group 13-Periodic Table

Tuesday, September 8, 2020

Boron Group- Group 13-Periodic Table

Boron Group--The boron group are the elements found in group 13 of the periodic table. They include boron (B), aluminum (Al), gallium (Ga), indium (In), thallium (Tl), and niobium
Take a look at the boron group.
boron group

The elements of the Boron group are post-transition metals except for boron which is a metalloid and Niobium which is a synthetic chemical element and is extremely radioactive.

gallium boron group

All of the elements of the boron group have three valence electrons.

lewis dot tructure boron
The elements in the boron group, except for boron are soft. They are relatively reactive at moderate temperatures, except boron is reactive at very high temperatures. The metals in the group are good conductors of heat and electricity except for boron. As you move down the boron group the boiling point gets lower and the density increases. Aluminium is a popular boron group element and is the third most abundant element in the crust.

aluminium

Gallium is found in nature and in the Earth's crust, Indium is fairly abundant in the earth's crust, and thallium is found in small amounts throughout the planet but is toxic.
Boron is not found naturally on earth, nor is Niobium.
********************************************************* What happens when you mix sodium and water? Hint: It involves fire. https://www.youtube.com/watch?v=YRPuDQtB_5Y&t=41s

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Phosphorus Cycle Steps

Sunday, September 6, 2020

Phosphorus Cycle

Along with the water cycle, the carbon cycle, and the nitrogen cycle, the phosphorus is another biogeochemical cycle that is essential for life on earth.

A biogeochemical cycle is a pathway by which a chemical substance moves through biotic and abiotic compartments of Earth.

Although phosphorus is not found in the atmosphere, it still plays a very important role in plants and animals on Earth.  

Phosphorus is essential for plant and animal growth, as well as the health of microbes inhabiting the soil.


Phosphorus cycle


Phosphorus is very important for the production of DNA by forming the backbone of DNA and RNA and makes up the cell membrane.

The phosphorus cycle is a slow process and involves four key steps.


Step 1. Weathering

Phosphorus is found in rocks. Weathering along with rain breaks down the phosphorus in rocks and it travels to the soil and into water sources.

weathering


Step 2.  Absorption by Plants and Animals

Once in the soil, plants, fungi, and microorganisms are able to absorb phosphorus and grow. Some of it also makes its way to the ocean and freshwater and animals are able to drink this water and plants absorb the water along with the phosphorus.

Animals then eat the plants and the phosphorus moves into the animals. 


absorption by plants



Step 3. Return to the Environment via Decomposition

Animals excrete waste and decomposers are able to use the phosphorus in the waste material. Furthermore, when the plants and animals die the bacteria may convert the organic phosphorus into inorganic phosphorus in a process called mineralization.


Step 4. Sediments to rocks

Some of the phosphorus gets buried in settlements which over time becomes rocks and the cycle continues. Some of the phosphorus in the soil gets washed to the ocean where a similar process takes place.


Plants and animals in the ocean absorb the phosphorus, die and decompose, and some of the phosphorus ends up as sediments in rock.

Humans have had a significant impact on the phosphorus cycle. Fertilizers containing phosphorus add to the phosphorus levels in the soil. This helps plant growth however, when levels of phosphorus are too high, the overabundance of plant nutrients serves to drive the excessive growth of algae. When these algae die or form algae blooms, they can be toxic to the plants and animals in the ecosystem.


Related Links

Carbon Cycle


Rock Cycle


Reasons for the Seasons




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