Carlor's Textbook Questions Blog Post Pgs. 98-100 #3,10,and 12

Hi guys! I'm gonna do #3,10, and 12 of our textbook it's on pages 98-100.

3. Jason is doing his math homework. He has to find the square root of 10. He presses *square root sign*10 to his calculator and the screen displays 3.16227766. However, when 3.16227766 is multiplied by itself the answer is not 10. Explain.

- When 3.16227766 is multiplied by itself the answer is 9.999999999467538, it is not a perfect 10 because it is an estimate. It is estimated because if we want to get a perfect 10 there would be too many decimals.

10. Kai uses an entire can of paint on a square backdrop for the school play. The label on the can states that one can cover 27 squared metre of wall surface. Estimate the backdrop's side length, to one decimal place.

- First we have to find the square root in order to find one side of the square. *square root sign*27= 5.2 (The question says estimate to one decimal place so I estimated it and it's 5.2)

*Remember- The formula is s x s= a (area of a square)

- So 5.2 x 5.2= 27. 04 which is not a perfect square root to get 27 but it is an estimate which is pretty close to 27.

12. While shopping online, Ji Hun finds a square rug with an area of 11 squared metres. He need to know if it would fit in his 4 m x 5 m bedroom.

a. Estimate the side length of the rug, estimate to one decimal place.

b. Check your estimate with a calculator.

- 3.3 x 3.3 = 10.89 squared metres

c. Will the rug fit? Explain.

- Yes the rug will fit. Because if we calculate 0.20 (the area of the bedroom) x 10.89 (3.3 x 3.3 = 10.89- The rug) it would equal to 2.178 m which is the remaining metres of the bedroom after the rug has been placed.

PYTHAGORAS

1. Answer in a short paragraph and with diagrams
- This equation mean the area of the square on the hypotenuse (the longest line in a right triangle) is equal to the sum of the areas of the squares of the other two sides(legs)— that is, a² + b² = c².

EXAMPLE

So, I made a pythagoras problem here and it is asking for the length of the hypotenuse. In order to get that we need to use the formula a² + b² = c^2.

^{- First, we need to get the area of leg a, it has an area of 10 cm. To get that we need to multiply 10 cm by itself. 10 cm x 10 cm = 100 squared centimetre} (cm²)

- Secondly, we also need to find the area of leg b, it has an area of 15 cm. So, we again need to multiply it by itself. 15 cm x 15 cm = 225 squared centimetre (cm²)

- Third, we now need to add the two areas and we should be able to get the area of the hypotenuse or c. 100 cm² + 225 cm² = 325 cm².

- Lastly, we need to find the square root of 325 cm² because it doesn't fit the 10 cm and 15 cm side length of the two legs. 325 = 18.02 cm

- There it is the hypotenuse of this right triangle is measured 18.02 cm

2. Solve for the missing side length.

- Use the formula a² + b² = c^{2. Lets name 5 cm a, 12 cm b, and the hypotenuse c.}

^{- Firstly, we need to find the area of 12 cm. 12 cm x 12 cm = 144 squared centimetre} (cm²⁾

- Secondly, we need to find the area of 5 cm. 5 cm x 5 cm = 25 squared centimetre (cm²⁾

- Thirdly, we need to add the two areas of the legs. 25 cm^{2 + 144} cm^{2 = 169} cm<sup>2

- Lastly, we need to find the square root of 169</sup> cm^{2 to fit the side length 5 cm, and 12 cm.}
169= 13 cm. There it is, the missing side length is 13 cm

3. Is this a right triangle? Prove it!!!

- To see we need to use the formula a² + b² = c^2. If the area of the 2 legs doesn't add up to the area of c then it is not a right triangle.

- First, we need to find the area of 6 cm. 6 cm x 6 cm = 36 squared centimetres cm²

- Second, we need to find the area of 8. 8 cm x 8 cm = 64 squared centimetres cm²

- Third, we need to add the area of the two legs. 36 cm² + 64 cm² = 100 cm²

- Lastly, we need to find the square root of 100. 100= 10 cm

- The sum of the two areas of the legs is not 11 cm which is depicted in the right triangle so this means that this is not a right triangle.

*Video-

*Link- http://www.math-play.com/square-roots-game.html

*Message- Thanks for viewing my post and please leave a comment. Bye :))

Carlor's Scribe post: Textbook pages 142-143

Hey everyone! this scribe post will be about the solutions for numbers 4,7, and 11 on pages 142-143 chapter 4.3.


4.)
- For this questions it says that use your mental math to solve them so please try to trust your brain first rather than your finger.


- You can do solve these questions the fast way but for now let's do the slower way so that it is more understandable.

A.)
-For this question it's asking for the 20% of 60, so first we need to find 10 %.


- Now we know that 6 is 10% of 60 but what we're looking for is 20% so we need to multiply by 2 or you can also add by 6.

- So there it is we found 20% of 60 which is 12.

B.)
- For this question they are asking for 250% of 400 but, we know 400 is equal to 100% so we only need to double that to get 200% which would be 800. So, now the problem is 50%.
And all we have to do is divide it by 2.

- Now we know all the parts of our percent, we only need to add all them up.
800+200= 1,000 so, there it is 250% of 400 is 1,000!

C.)
- For this question it's asking us for 10.5% of 100. We know that 10% of 100 is 10 so we only have to find 0.50% of 100. In order to find it we have to find 1% in which we would divide by 2 to get 0.5%


- Hey, it's 1! so we divide it by 2 to get 0.5% which would be 0.5. And all we have to do is add up- 10+0.50= 10.5. There it is 10.5% of 100 is 10.5 they're the same!

7.)



A.)
- This question is asking what are the chances of winning with one ticket and expressing them in percents.So, we need to use this formula to get the percent or chance = (amount divided by total)x100= percentage

Because we are finding the chances of one ticket we need to set that (1 ticket as the amount and divide it by 200 as the total tickets sold) and multiply it by 100= percentage or the chances.

1st-
2nd-


- Woah! There it is the chance of winning with one ticket is only 0.5%.

B.)
- For this question we need to find how many tickets we have to buy to get 2.5% of winning.
- But, we already know that 1 ticket have a 0.5% chance winning.
- So we only need to find what 2.5% percent would equal to.



Answer- It's 5!

11.)

- For this question they are looking for 6.5% of 9 984 670 square kilometre.
- So we need to find 1% and add it to get 6% next, we need to find 0.5% and add it all up.


- Now we know that 1% is 99846.7, we need to multiply that to get 6% which would be 599,080.2.
- Our problem now is 0.5 so we will find it.
- It's 49937.35! So we add it all up 599,080.2 + 49937.35= 649017.55!

- That's it! 649017.55 squared kilometre is the area of Manitoba compared to the area of Canada.

Here is a video which demonstrates more about how to get percent of a number. Enjoy!





Link to mess with percents: http://www.mathplayground.com/balloon_invaders_percent.html

That's the end of my post and Thanks for viewing!

I'm sorry I posted it up really late! I'm really sorry guys :/

Carlo's Pay it Forward

Part 1

What is "Pay it Forward"?
- For me, Pay it Forward means doing a random act of kindness without expecting anything in return and instead of hoping something back, they repay it to others instead.

Part 2

What was your Pay It Forward act of kindness?
- My Pay it Forward act of kindness was babysitting my little cousin and help her mom do the household chores.

Why did you choose this activity?
- I choose this activity because I have a vision of helping children to help them be a difference maker and Pay it Forward just like what I did to help them.

Who did you help?
- I helped my 1 year, and 4 month old baby cousin her name is Daniella Rosario and I helped her mom (Duchelli Rosario) do household chores.

What did you do?
- I babysat my 1 year, 4 month old baby cousin the whole day and I helped my auntie Duchelli Rosario do the household.
When did you do you act of kindness?
- I did my act of kindness on Sunday, November 13, 2011










Part 3

How did your act of kindness go?
- My act of kindness went really well. I was really tired but, as long as I give someone a smile giving up is not an option to me.

What Happened?
- I went at my cousins house around 9:30 in the morning because it's the time that my baby cousin Daniella wakes up. When we arrive he was eating her breakfast and I took over to feed her. Then, after eating her breakfast, we took a 17 minute break watching TFC (The Filipino Channel) at their basement. After that, I set up the bathroom for her to take a bath, taking a baby to the washroom is actually a hard work because of the splashes, you end up putting shampoo in the water instead of her hair, and her moving around, instead of bathing time, it's actually a playing time for her. Then, after she took her bath I ask her older sister Diorella to hold her while I help her mom cook for our lunch and plan and ready some of the ingredients for our delicious snack for the day. Then, I hold her again at around 12:25 and I fed her, her lunch then, after a few minutes I ate. Then, at around 2:45 we cook our snack and served it in the basement there, I took tiny bits of pieces of it and gave it to Daniella. At around 6:30 Daniella has to poop and as me the only one at their house at that time I have to do all the job, it was smelly! It was actually a fun experience for me as a child because when I grow up I will experience all this thing when I already have kids. Then, I cleaned the washroom, washed my hand, and just in time my cousins came back and her mom hold Daniella. That's when I took over the cooking for our dinner. At around 8:25 I served the dinner at the basement and there we enjoyed the food as a family. And, on 10:30 I put my baby cousin to sleep and that's when I went home knowing that I helped someone.

How did you feel?
- I felt the feeling you feel when doing an random act of kindness to other without you expecting nothing in return. I also felt good because knowing that I just put a smile on somebody's face and that they would Pay it Forward to others of the good thing I did for them.

How did the person or people react?
- My cousins react positively to what I did for them because they know that I'm making a small difference on somebody's life. They said thank you but I answered to them was to Pay it Forward.

Did you ask the person or people to "Pay It Forward"?
- I did ask my cousins to "Pay It Forward".

How did they react to your request?
- They reacted gladly that they would help others and be able to pass the act of kindness to other again until it spreads out, and that's when the big difference comes out.

If you did not ask the person to "Pay It Forward" how come?
-

Part 4

Why is the idea of "Pay it Forward" important?
- The idea of "Pay it Forward" is important because this sparks the mind of many children around the world that they too can make a difference that even a small act of kindness will add up until it spreads out and become a large, and united people ready to make a difference. It's also important because now that technologies are getting high in level children now lose sight of what they are capable of, that they are the leaders of the future because instead of paying the good deeds you received forward, some children are now just playing video games.

Has your act of kindness made a difference?
- My act of kindness I think made a difference because now my cousin can Pay it Forward instead of giving it back to me, and the act of kindness that I started is now passed until it becomes a large that it becomes a world changed by Paying it Forward.


THANKS FOR TAKING TIME TO LOOK MY PAY IT FORWARD POST.
I WISH YOU WILL PAY IT FORWARD AND DO A RANDOM ACT OF KINDNESS AND SPREAD IT OUT TO OTHER PEOPLE WITHOUT HOPING OR EXPECTING IN RETURN.

Carlor's Graphing Post

Graphing Post

1. Use your notes to list the different types of graphs. Please list the advantages and disadvantages of each graph.

Bar Graph:

Advantage- it compares data across categories.
Disadvantage- sometimes it's inaccurate.



Double Bar Graph:


Advantage- it compares two sets of data across categories.
Disadvantage- can only compare two sets of data, and sometimes one of the sets might need a high number interval while the other one needs a small number and that may lead to the smaller set to be so small and inaccurate.



Circle Graph:

Advantage- it compares categories to the whole using percents.
Disadvantage- it takes a lot of work, a lot of time, and a lot of tools to construct it.



Line Graph:

Advantage- it shows data that changes overtime.
Disadvantage- it can't show data that don't change overtime.



Pictograph:

Advantage- it compares data that can easily be commit.
Disadvantage- the areas in a picture that was cut is hard to recognize so you have to assume.



2. How can graphs be misleading. Show 3 ways.

1. Break in the y-axis:



2. Distorting the visual:



3. Distorting the size of a bar:



2. a) The following chart shows Pizza Sub Sales over a month. What 2 graphs would show the information accurately?


Answer:
- I would use a line graph and a bar graph to show the information accurately.

2. b) If you were selling Pizza Subs would you continue? How does your graph explain your answer.

Answer:
- Yes I would continue to sell Pizza subs because the number of people buying Pizza Subs are getting higher and higher every week.

4. Below you see 2 different examples of graphs showing healthy choices sold at the canteen. If you had to convince Mrs Mota that we should continue selling healthy choices which graph would you choose?


Answer:
- I would choose the line graph because when you look at it, the line is going up which shows that many people are buying this kind of food choices every month.


4a) Change each graph so that your information looks even MORE impressive. You may not change the data just the graphs.

Line Graph:



Pictograph:



Other Resources:

Video: Here is a simple lesson about graphs. Seatback and enjoy :)



Link that can guide you to the wonders of graphs:


http://www.softschools.com/math/data_analysis/bar_graph/activities/vegetables_bar_chart/

That's the end of my post. I hope you enjoyed and please comment :)

Carlo's Proportion Post

Task 1:

Ratio- is a comparison of two number of the same kind

Types of ratio:

1. two-term ratio-compares two quantities measured in the same units.

2. three-term ratio- compares three quantities measured in the same units

3. part-to-part ratio- compares different parts of a group to each other.

Ex:
1. You have a bag full of marbles. 1 red, 4 black, 8 white, and 6 multicoloured marble. What is the ratio of the multicoloured marble to the white one?

Solution:
1. First, check the numbers that are to be compared. Which in this case are 8 and 6.
2. Separate the two numbers using a colon (:) or a /.
Answer: 6:8, 8/6

4. part-to-whole ratio- compares one part of a group to a whole group

Ex:
1.You drink a 500 ml water bottle, you drank 369 ml. What is the ratio of the ml you drank to the original ml? No solution this time! :)

Answer: 231

Rate- is a ratio that compares two quantities of two different units.
Ex:
1. $1.50 for 5 candies.
Type:
1. Unit rate- is a rate in which the second term is 1.
Ex:
1. Leo's heart beat 37,645 every 5.5 hours. What is the beat rate of Leo's heart every hour?

Solution:



Task 2:
1. 5 hours to travel 360 miles is about _____mph
Answer: 72 MPH
Solution:


2. As a playgroup worker, if I increase the amount of apple juice I am serving at the playgroup from 25 ml to 100 ml, how much should I increase the the orange juice to, to keep the quantities in the same proportion? The orange juice is 50 ml to start with.
Answer: 200 ml
Solution:

Task 3
1. What are the three ways you can prove that equivalent ratio statements are true?
3/4 = 12/16 or 4/9 = 16/32

Solution:
1. First, you can go horizontally- divide the top left number to the top right and bottom left and bottom right numbers.
2. Second, you can go diagonally- divide top left number to bottom right, and top right corner to bottom left number if you get the same quotient your answer is correct.
3. Lastly, you can do it vertically- divide the numerator by the denominator.

Task 4



Task 5



1.Does this seem fair?
- It's unbelievably unfair.

2.With what you know about proportion look and read what is in the image above. Does it seem just and fair? Why have you made this choice?
- It's not very fair at all.I made this choice because the guy who stole $3 billion which is almost million times larger than the guy who only stole $100 just to feed himself was only sentenced 3 years and the guy who is starving for food spent 15 years which is 12 years longer than the guy who stole $3 billion.

4.What would you have done if you were the judge?
- For me the hungry man's violation is a very minor one. Instead, I would just give him his first warning and sent him to a community center so that he would get free food, care, and workouts.

THANKS FOR TAKING TIME READING! HAVE A GREAT LEARNING DAY! :)