Venus's Math Blog!!!!

1. Sammy has a flower garden full of tulips. She plants 5 tulips at first, how many tulips would there be in the tenth year if they double each year?

# of tulips = 5 x 2^y

y= the year number

 # of tulips = 5 x 2¹⁰

# of tulips = 5 120 

Therefore, there would be 5 120 tulips in year 10.

2. Ronald has 2 cats. He wants to breed the cats until he has 32 of them. How many years would it take until Ronald has 32 cats if the cats triple each year?

Formula = 2 x 3^y

y= the year number

 TRIAL AND ERROR

 3^RD year = 2 x 3³

3^rd year = 54

 2^nd year = 2 x 3²

2^nd year = 18

Therefore, it would take Ronald 3 years to get 32 cats.

aintmathgr8:

Homework

pg. 229 - #2, 4-9 c & d each, 11, 12, 15a & c, 16, 17, 18, 20, 24, 25

Math Journal

Create two word problems with exponents. Write solutions for your questions that demonstrate how to use exponents. Provide diagrams or an accompanying picture to help illustrate your question.

Width: 63”

Height: 35.5”

a² + b² = c²

35.5² + 63² = c²

1260.25 + 3969 = 5229.25

√c² = √5229.25

√5229.25 = 72.31

Therefore the hypotenuse of the triangle is 72 inches.

So, the listed measurement is correct.

EXAMPLES:

If there was a scratch on a window that goes from one corner to its opposite, you could calculate how long the scratch is. 

If a square pizza was divided diagonally and you wanted to find out if both pieces were equal. If you only knew the measurement of the hypotenuse and one other side, you could use pythagorean theorem to find out the measurement of the missing side, and therefore find the area of each triangle.

If you wanted to paint a piece of wood shaped like a triangle and you wanted to know how much area of paint you would cover. If you only knew the two side measurements (not the hypotenuse), you could use pythagorean theorem to find out the missing side and later calculate the area. 

THANX… VV

Things I did gr8 on: :D

-I memorized the correct formulas.

-I thought logically for the spokes question.

-I was kinda right on #5.

Things I did bad on: :(

-I was rushing.

-I got stressed on #5.

-One little mistake on #5 made me final answer close, but wrong.

Things that helped me:

-Mr. Li’s hints on thinking logically.

-I tried my best on the re-test

-I checked over my work.

Things that led to my mistakes:

-Mr. Li rushing us. “I will be getting your test at 1:05pm, whether your done or not.

-Everyone talking and especially some people who just shouted random comments during the test really annoyed me.

Thanks for reading…and by the way Mr. Li, your tests are SO HARD…in what world are they easy? …Mr. Li’s world.

CIRCUMFERENCE

X-TRA-LARGE PIZZA:

r=20cm

C=2πr

C=2 x π x 20 cm

C=125.7 cm

SMALL PIZZA:

r=10 cm

C=2πr

C=2 x π x 10 cm

C=62.8 cm.

AREA

X-TRA LARGE PIZZA:

A=π x r²

A=π x 20²

A=1256.6 cm²

SMALL PIZZA:

A=π x r²

A=π x 10²

A=314.2 cm²

The difference between the circumference of the X-tra large pizza and the small pizza is 62.9 cm. This means that the X-tra large pizza is about double the circumference of the small pizza. It’s only off by 0.1. (I rounded)

The difference between the area of the X-tra large pizza and the small pizza is 942.4 cm^2. This means that the X-tra large pizza is about 4 times as large as the area of the small pizza. 314.2cm² x 4 = 1, 256.8 cm²  It’s only off by .2 cm². (This may be off by a few decimals because I rounded)

You may think that math is just a pain to learn but when you are older, it may actually help you, for example:

-If you are a gardener when you grow up and you come across a circular garden. Your customer asks for some fencing around the garden and you have to come up with the measurement.

-If you are a carpenter and your client asks for a table. She gives you the measurement of how wide (diameter) he/she wants it to be, but you have to come up with the area to make the table.

-If you work for a paper plate company and you need to invent a new kind of plate with new measurements. Your company gives you the radius but you have to find out the area.

This is why math may seem boring now, but it may be useful later on.

aintmathgr8:

An extra large pizza has a radius that is twice as large as a small pizza. Determine the circumference and area for each pizza and compare the differences. Are there any relationships or connections? Think and write about two ways that this information can be useful in helping to solve real world problems. Give examples with pictures to show your math.

A world without math would be hopeless and pointless.

Without math, there is no numbers. Numerology is a vast and complex study. they are one of the biggest and most important factors in our life. Without it, there’d be no age, no money, no times tables, no counting, and many, many more. No currency would mean no business. You wouldn’t be able to make a living! You wouldn’t even know how much people are in your family! This would be a major disaster because Earth’s people would be living in poverty. Math is like basic rules. Without the very basic ground rules in life, everything will be messed up. 

We can’t possibly be educated without math. We can’t actually do anything in our lives without math. We won’t be able to read a music piece with numbered fingerings, or understand shapes or sizes. When we get sick, there wouldn’t be a medical cure for it at our reliable hospitals because math won’t even exist. Governments wouldn’t know how to govern and we wouldn’t know to vote. There wouldn’t be any music or excitement in our lives. They would all be crushed because most of life’s professions rely heavily on math.

Without math, there is no technology! The exact mac I’m using to type this write now wouldn’t be here; the coffee maker someone in the world’s using now wouldn’t be there; the world would be living like centuries ago in tribes. To be more exact, I wouldn’t even be in Markham, ON, right now if math didn’t exist. How could my mom and dad fly to Canada without technology? That’s right. Impossible. War, hunger, thirst, devastation, hopelessness - all these items would still be in our twenty-first century without our wonderful math.