Patricia's Surface Area and Volume Post

Rectangular Prism

^{T= 5x10=50}

^{F= 10x6=60}

^{S= 5x6=30
TSA = 2 ( T+F+S )}

^{TSA= 2 (50+60+30)
TSA= 2 (140)
TSA= 280m2}
Triangle Prism




lxw

5x10= 50

5x9= 45

5x8= 40

bxh/2 9x8/2 72/2= 36

36+36+50+45+40=

207cm²

Cylinder

2(πr²) + (πdh)

2(3.14x16)+(3.14x8x12)

^{2(50.24)+(301.44)}

^{100.48 + 301.44 =}

401.92mm²

VOLUME

V= lxwxh

V=20x8x16

V=2560cm3

V= bxh/2 xh

V= 5x3/2 x8.5

V= 15/2 x8.5

V= 7.5x8.5

V= 63.75³

V= bxh/2 xh

V= 4x8/2 x6.5

V= 32/2 x6.5

V= 16x6.5

V= 104 cm³

r= d/2

r= 12/2

r= 6cm

V= pi x r² xh

V= 3.14x6x6x15

V= 113.04x15

V= 1695.6cm³

Patricia's Pythagorean Post

1. Answer in a short paragraph and with diagrams
The relationship between the lengths of the side of the right triangle. The sum of the areas of the squares attached to the legs of a right triangle equals the area of a square attached to the hypotenuse.




the Pythagorean relationship can be used to show if a triangle is a right triangle. Left side: 7 squared+6 square= 13 squared (7x7)+(6x6)=(13x13) 49+36=85 square root of "C" squared= square root of 100cm squared is 10
C=10cmthe sum of the areas of the two smaller squares is 100cm squared. the triangle is a right triangle.

2.Solve the missing side length

a squared+b squared= c squared 8 squared+6 squared=11 squared (8x8)+(6x6)=(11x11) 64+36=121 square root of "C"squared= square root of 121cm squared is 11
C=11cm
the triangle a right triangle.

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

a squared + b squared = c squared
8 squared + 6 squared = 11 squared
(8x8) + (6x6) = (11x11)
64 + 36 = 121
It's not a right triangle because it's not equal. The legs aren't equal to the hypotenuse.

Textbook Questions

5.a) What is the area of each square attached?

a squared = 6 squared

a squared = 6 x 6

a squared = 36 cm squared

b squared = 8
squared

b squared = 8 x
8

b squared
= 64 cm squared

b) c squared = a squared + b
squared

c squared = 36 + 64

c squared = 100 cm squared

c) square root "c" squared and then square root 100 cm
squared

c = 10 cm

19. estimate the square root of 160 100

square root of 100 =40

square root of 160=10

10x40=400

14.

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

a) What number could he be thinking of?60

b) Is there more than one answer?
Explain.

No, because 60 is the only number that is between the square root of
7 and 8 that is a multiple of 12.

Patricia`s textbook questions

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


19 Estimate the square root of 160 100. Explain how you determined your estimate

160=40
100=10
40x10=400

17 Carmel want to mount an 18cm by 18cm square on a square board that is four times the area of the picture.

a) What is the area for the picture.
18x18=324cm2
b)What is the area of the board
324x4=1296cm2
c)What are the dimensions of the board.
1296=36cm

Patricia's Textbook Questions 4,7,4

Page 148

4) Chris purchased the following items:

• 2 binders for $4.99 each


• 1 math set for $3.99


• a backpack for $19.99

Find the total cost including 5% GST and 7% PST.

1- 4.99x2+3.99+19.99=33.96

2- 0.12x33.96=4.08

3- 4.08+33.96=38.04

Page 149

7) A herd of 100 caribou was moved to a new location. The population increased by 10% the first year and then increased by 20% the second year.

a) Find the population after the second year.

1- o.10x100=10

2-100+10=110

3-0.20x110=22

4-110+22=132 caribou

b) Explain why there was not a 30% increase in population over the two years.

Because increase is not 30%, the 20% increase in the second year and the 10% increase in the first year.

Page 150

4) How many hundred grids are needed to show each of the following percents?

a) 101% b) 589% c)1450%

For a: you will need 2 hundred grids.

For b: you will need 6 hundred grids.

For c: you will need 15 hundred grids.

Patricia'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.

Pay it forward is helping other people by giving them food,money. Telling them that they have to Pay it forward by donating or helping other people.

Part 2

What was your Pay It Forward act of kindness?we rake the leaves

Why did you choose this activity? so we can help the community clean

Who did you help? neighbourhood and Danilyn's house

What did you do?We raked the leaves

When did you do you act of kindness? weekend(nov.12)

You need to document your act of kindness. Please make sure you have a photo or video of you "Paying It forward".

Part 3

How did your act of kindness go? It went very well

What Happened? we rake the leaves for 1-2 hours

How did you feel?It went great.

How did the person or people react?we didn't see their faces

Did you ask the person or people to "Pay It Forward"?no

How did they react to your request? They were happy.

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

Part 4

Why is the idea of "Pay it Forward" important? Pay it forward is important because when you do something good to someone,like e.g. you helped 3 people then if they asked you how to pay it back you say 'pay it forward' then the 3 people you've had will help 3 person then so in total you get 9 people

Has your act of kindness made a difference?yes, it helped the community clean

Patricia's Graphing Post

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

Line Graph
Advantage

• is that is shows trends over time and with a bar chart it shows amount

Disadvantage

• it use only with continuous data

Bar Graph
Advantage

• simple to understand
• compares data across categories

Disadvantage

• it is hard to see the exact number
• only compares one set of data

Pictograph

Advantage

• can count pictures easily

Disadvantage

• Can't see the exact amount of data

Double Bar Graph

Advantage

• Compares two sets of data across categories

Disadvantage

• If intervals are not right it makes the graph not accurate.

  
  

  2. 3 ways a graph can be misleading is a break in the y-axis, make 1 bar wider than the others, and color 1 bar different than all the others.

  
  

  
  

  
  

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

  
  

  A line graph and bar graph.

  
  

  
  

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

  
  

  

  
  

  If i was selling pizza subs I would continue because the line graph shows how much more I am selling.

  
  

  
  

  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?

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

  

  
  

  
  

  
  

Patricia's Proportion Post

Task 1

Please define

ratio - A comparison of quantities in the same units.

Example:

Ratio Notation: 3:9 , Fraction: 3/9

rate - A comparison of two quantities measured in different units.

Example:

$ 1.69/100 grams.

proportion - An equation which states that 2 ratios (fractions) are equal.

Example:

2/6 = 4/12

Task 2

Copy these questions into your post. Answer them using proportion statements.

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

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 True

4/9 = 16/32 False

Task 4

Find a video about using proportion and embed it in your post. Make sure you select the small size of the video.

Here is a proportion video to help you.

http://www.youtube.com/watch?v=Uv_hPQfJE4g

Task 5

We are starting to engage in discussions about social justice. What do you think about this image below. Use the link to copy it into your post. Then answer the questions

1. Does this seem fair?

It does not seem fair because the homeless guy only stole $100 and the other guy stole 3 billion.

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?

I think its not fair because the rich guy stole 3 billion while the homeless guy has to spent time in jail for 15 years.

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

If I were the judge I will give the homeless guy 1 year or maybe less.