Grade 10

In order to simplify rational/fractioned exponents, we use FLOWER POWER. This means that the root is always on the bottom, so we take the denominator and put it in the index, as shown above.

In order to solve a value with a negative exponent, we need to flip the reciprocal to turn the negative values into happy ones; as shown above.

This week we ended our numbers unit. I learned a lot, but one of the useful tools was converting entire and mixed square roots.

Entire to Mixed:

Divide the radicand into 2 parts.

Find the square root of one of the 2 new radicands.

Take the square root and put it in front of the other root.

Mixed to Entire:

Find the root of the whole number in front.

Multiply the two root.

The video “Most Shocking Second a Day Video” created by Save The Children follows a young girl who becomes a Syrian refugee. The girl blows out 9 candles on her birthday, surrounded by her friends and family in a nice home with a big smile on her face. She is living the ideal life, playing soccer, eating chocolates, wearing lipstick, learning recorder… but as her days progress some conflict is occurring and the news and radio began to speak of war. All of the sudden the girl’s parents bring her somewhere to hide, as they try to survive off of minimal water and medicine. She then gets brought around in a car trying to escape, dodging gun shots and wearing a gas mask. Her dad gets taken away from her so the girl and her mother find different hiding spots and try to find food. At the very end there is a clip of her mother singing happy birthday to her, with one little dish accompanied by a lonely candle. Humans take everything for granted, and we must be eternally thankful because we are surviving in this constant conflict. This video shows that humans have unbelievable capabilities to survive hardships so we must be thankful for every piece of joy we can grasp.

This week in math I learned an easy was to find the prime factors of a number, division tables.

Division tables are quite easy once you get the hang of it. Basically you can take any number, and divide it by the smallest prime. Here’s how:

We always want to start with dividing the number by 2, because it is the smallest prime and will chop the number in half making it signifigantly smaller. Of course, we can only divide by 2 on an even number.

If your given number is not divisible by 2, you will want to try and divide it by 3. Add up all of the digits to see if that final number is divisible by 3.

Eg: 45 = 4 + 5.

4+ 5= 9

9 is divisible by 3, therefore 45 is also.

When we can’t divide the number by 3 anymore, we will want to move on to 5. We can tell if the number can be divided by 5 if the last digit is 5 or 0.

After 5 we can try 7, then 11.

Once you reach the bottom of your division table, you should end up with a prime number that you can divide by itself.

You can easily gather the prime factors of a number by looking at the amount of primes you put on the left of the table, shown in the video example above.

Division tables are over all a very effecient way of finding prime factors.

pythagoreans theorem

Surrounded in hot springs, this beautiful moss-covered volcano found in southern island is a major attraction. Standing 800 meters tall, it’s classified as an extinct strata volcano that hasn’t erupted in over 10,000 years. In the colder months, this volcano is hardly visible because it’s covered in snow. Once the snow starts to melt, the moss covering the volcano is grey. As the summer brings in warmer weather the moss changed to a bright distinct green. It rests as a hot spot on the Mid-Atlantic ridge. This volcano will stand for centuries more, and will forever be a beautiful attraction.

“Home.” Maelifell in a Super Jeep – Measure-Hill – Day tour in Iceland. N.p., n.d. Web. 18 Jan. 2017.

“Top 10 Stunning Volcanoes Around the World.” Places To See In Your Lifetime. N.p., n.d. Web. 18 Jan. 2017.

Amazing_Places. “Mt. Mælifell , Iceland.” | Amazing Places |. | Amazing Places |, 23 July 2015. Web. 18 Jan. 2017.