Shera's Surface Area and Volume Post

Rectangular Prism

Top:

Length - 5m

Width - 10m

A = l x w

A = 5 x 10

A = 50m²

Front:

Length - 6m

Width - 10m

A = l x w

A = 6 x 10

A = 60m²

Side:

Length - 5m

Width - 6m

A = l x w

A = 5 x 6

A = 30m²

TSA = 2 (T+F+S)

= 2 (50+60+30)

= 2 (140)

= 280m²

Triangular Prism

Rectangle 1

Length - 8cm

Width - 5cm

A = l x w

A = 8 x 5

A = 40cm²

Rectangle 2

Length - 10cm

Width - 5cm

A = l x w

A = 10 x 5

A = 50cm²

Rectangle 3

Length - 9cm

Width - 5cm

A = l x w

A = 9 x 5

A = 45cm²

Triangle

A = b x h / 2

A = 8 x 9 / 2

A = 72 / 2

A = 36cm²

TSA = 40 + 50 + 45 + 36 + 36

= 207cm²

Cylinder

r = d / 2

r = 8mm / 2

r = 4mm

c = πd

c=3.14 x 8

c = 25.12

L x W

25.12 x 12 = 301.44

Area of a Circle:

AO = πr²

AO = 3.14 x 4 x 4

AO = 50.24

TSA = Rectangle + Circle + Circle

= 301.44 + 50.24 + 50.24

= 401.92mm²

VOLUME

v = (b x h / 2) x h

v = (3 x 5 / 2) x 8.5

v = (15 / 2) x 8.5

v = 7.5 x 8.5

v = 63.75m 3

v = l . w . h

v = 20 x 8 x 16

v = 2560cm 3

v = (b x h / 2) x 6.5

v = (4 x 8 / 2) x 6.5

v = (32 / 2) x 6.5

v = 16 x 6.5

v = 104cm 3

104 / 8 = 13

13 x 3 = 39cm 3

r = d / 2

r = 12 / 2

r = 6cm

v = πr2 x h

v = 3.14 x 6 x 6 x 15

v = 1695.6cm 3

Shera's scribe - Textbook questions 12, 14, 18 - Pythagorean Relationship

12. While shopping online, Ji Hun finds a square rug with the area of 11 m squared. He needs to know if it will fit his 4 m x 5 m bedroom.

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

b) Check your estimate with a calculator.

- √11 = 3.316

c) Will the rug fit? Explain.

- Yes it will, because the area of the room is 20 m2.

14. Alex is thinking of a number.

"The number has a square root between 7 and 8, and it is a multiple of 12."

a) What number could he be thinking of?

- 7.8

b) Is there more than one answer? Explain.

- No, because there aren't any more multiples of 12 in between √49 and √64.

18. a) Evaluate √9.

- 3.

b) Estimate the square root of your answer in part a), to one decimal place.

c) Use a calculator to check your estimate. Express your answer to the nearest hundredth.

- 1.73

d) How close is your estimate in part b) to your calculation in part c)?

- The difference is 0.17

PYTHAGOREAN RELATIONSHIP:

1. The Pythagorean Relationship is the relationship between the sides of a right triangle. Two side lengths, called "the legs"'s area added together would equal the hypotenuse's area.

EXAMPLE:

2. Solve the missing side length.

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

Shera's Scribe - Textbook pages 135-137 (Questions 1, 3, 11)

1. Kaitlyn and Jordan are converting 0.003 to a percent.

Who is correct? Show how you know.

Kaitlyn:

0.003 = 3%

Jordan:

0.003 = 0.3%

- Jordan is right, because to convert a decimal to a percent, you multiply it by 100.

0.003 x 100 = 0.3%

3. Team mates Mark and Jonas are discussing the outcome of a game. Mark says their team scored 500% as many goals as the other team and Jonas says they scored five times as many goals as the other team. Can they both be correct? Explain how you know.

- Yes, they can both be correct because 100% of the other team's goals multiplied 5 times is 500%.

11. Express the shaded portion of each diagram as a fraction, a decimal, and a percent.

a) Fraction - 17/25

Decimal - 0.68

Percent - 68 %

b) Fraction - 9/24

Decimal - 0.375

Percent - 37.5 %

Shera's Pay it Forward

Part 1

What is "Pay it Forward". To complete this part, please edit and revise the paragraphs that you wrote after watching the movie.

On October 31st, the grade 8's watched the movie "Pay it Forward". Pay it Forward was the kind of movie that speaks to people. It speaks about thinking about what you do toward other people. This movie taught me that you don't have to be a certain age to make a big difference in people's lives.

Part 2

What was your Pay it Forward act of kindness?

My group, Madeline, Sarissa, Jenny and I's Pay it Forward act of kindness was delivering treat bags to the boys and girls that stay at the Ronald McDonald House.

Why did you choose this activity?

We chose this activity because we thought that it was a good idea. Also, we chose it because we knew that it would make the children happy.

Who did you help?

We helped the children staying at the Ronald McDonald House.

What did you do?

First, we bought all of the supplies we needed. We then prepared 31 bags which each included a pencil, eraser, note pad, a lollipop, stickers, and a toy dinosaur/animal for the boys and a tiara for the girls. The next day, we went to the Ronald McDonald House and gave the treat bags to Kerry, a nice woman who worked there.

When did you do your act of kindness?

We did our act of kindness on Monday, November 14.

Part 3

How did your act of kindness go?

Our act of kindness went really well.

What happened?

When we entered the Ronald McDonald House, a very kind lady named Kerry welcomed us into the house warmly. She then gave us a tour of some of the rooms in the house, like the family room, kitchen, laundry room, playroom, and more.

How did you feel?

I felt very welcome into the house, because of how kind she was.

How did the person or people react?

Kerry told us that she was happy that we chose the Ronald McDonald House. She also told us that it was a very nice thing that we were doing and thanked us for coming.

Did you ask the person or people to "Pay it Forward"?

We didn't exactly ask them to pay it forward. We got the opportunity to sign the guest book that they had, so we wrote all of our names (and our school name), and we wrote "Pay it Forward!" under our names. We also wrote Pay it Forward in big letters on pieces of paper that we tied to the treat bags we prepared/delivered.

How did they react to your request?

We are not sure how they reacted to our request.

Part 4

Why is the idea of "Pay it Forward" important?

The idea of Pay it Forward is important, because it can help a lot of people and it can start with just one person's help.

Has your act of kindness made a difference?

We don't know for sure if our act of kindness made a difference to the children because they weren't home when we arrived, they were at the hospital. We really hope we did. We made a difference towards Kerry because she was touched because of what we did. She told us that we were doing a very nice thing.

Shera's Graphing Post

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

Bar graphs:

- An advantage of using a bar graph is: You can clearly see the difference between the categories, like which one is bigger/smaller.

- A disadvantage of using a bar graph is: Depending on the scale, the number of one category might be hard to identify.

Double bar graphs:

- An advantage of using a double bar graph is: You can compare two sets of data at the same time.

- A disadvantage of using a double bar graph is: It can only be used when comparing two sets of data.

Circle graphs:

- An advantage of using a circle graph is: It shows the category compared to a whole.

- A disadvantage of using a circle graph is: You have to find the percent of each category.

Pictographs:

- An advantage of using a pictograph is: It's good for comparing data that is easily counted and represented using symbols.

- A disadvantage of using a pictograph is: It's hard to tell if one picture is cut in half or cut in a different way.

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

- In a bar graph, you can make one bar wider, 3D or you can color it in to make it seem more popular.

- You can put a break in the y-axis to make the data seem smaller/bigger than it really is.

- You can make the pictures in the pictograph bigger or smaller than the others to also make it seem smaller or bigger than it is.

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

- I think that a bar graph or a line graph would show the information accurately.

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

- Yes I would continue to sell pizza subs because every week the sales of the Pizza Subs are getting greater. My graph explains my answer because it shows how overtime the sales get greater.

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?

- I would choose the line graph because it used a data set overtime.

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

Shera's Proportion Post

TASK 1

A ratio is a comparison of two quantities that have the same unit of measure.



Example:


A rate is a comparison of two quantities measured in different units. Example: $1.69 per 100 grams or $1.69/100g is a rate for purchasing bulk food. 72 beats per minute or 72 beats/min is a heart rate.

A proportion is an equation which states that two ratios are equal.





TASK 2

1. 5 hours to travel 360 miles is about 72 mph.

5/360 = 1/72

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 orange juice to, to keep the quantities in the same proportion? The orange juice is 50 ml to start with.



TASK 3

What are the three ways you can prove that equivalent ratio statements are true?

3/4 = 12/16 or 4/9 = 16/32

3/4 = 12/16 is true.

Diagonal:

Horizontal:

TASK 4





TASK 5



1. Does this seem fair?

- No it does not.



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?

- No it does not seem fair because Paul Allen stole 3 billion dollars and got sentenced 40 months, while Roy Brown stole 100 dollars and got sentenced 15 years. Also, Roy turned himself in because he felt guilty.






3. What would you have done if you were the judge?

- If I were the judge, I would give Paul a 15 year sentence and Roy a couple of months.