Jenny's Surface Area and Volume post

Pythagorean Relationship Scribe

1. Pythagorean Relationship -the relationship between the lengths of the two sides of a right triangle. Or the sum of the two areas of the squares attached to the legs of the right triangle equal the area of the square attached to the hypotenuse.

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Jenny's Scribe Post

Textbook Questions 12, 14, 17

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, 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 are no more multiples of 12 in between √49 and √64

17. Carmel wants to mount an 18 cm x 18 cm square picture on a square

board that is four times the area of the picture.

A) What is the area of the picture?

Multiply 18cm x 18cm = 324 cm2

324 cm2 is the area of the picture

B) What is the are of the board?

Multiply 324 cm2 x 4 = 1296

The area of the board is 1296 cm2. It is 4x the area of the picture

C) What is the dimensions of the board?

Find the square of 1296 cm2
The square root 1296 cm2 is 36 cm

Jenny's Scribe Post

Page 150-151

1. R C E E T N P

Percent means out of 100.

2. C R A T F I O L N A

A Fractional percent is a percent that
includes a portion of 1%.

3. M C N O B D E I

Percents that are added together
are Combined percents.

Page 148-149

4. Chris purchased the following items:

• 2 binders at $4.99 each
• 1 math set for $3.99
• a backpack for $19.99

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

-$4.99 x 2 = $9.98

9.98 + 3.99 + 19.99 = $33.96

33.96 x 1.12 = $38.04

5. Ravi purchased 3 DVDs for$19.99 each.

Find the total cost for the DVDs including 5% GST and 6% PST

- $19.99 = $59.97

&59.97x 1.12= $67.17

6. A store discounted items by 50% off the

original price one week. The following

week an additional 10% was taken off the

already reduced price. The regular price

of a CD player was $85.00. What is the

reduced price in the second week?

First week 50% off

$85.00/ 2 = $42.50

Second week week additional 10% off

42.50 x 0.90 = $38.25

Jenny's Proportion Post

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

A Rate is a comparison of two quantities measured
in different units

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

Eg.

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.
3. 
   

   

   
   

   
   

   
   

   
   

   
   

   
   

   
   

   
   

   
   

   3/4= 12/6
   because
   
   

   

   
   

   
   

   
   

   
   

   
   

   
   

   
   

   
   

   
   

   4/9= 16/32 is false
   because

   

   
   

1. Does this seem fair?
   - No, i do not think it's fair
   
   
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 do not think it's fair because the first man stole way more money than Roy Brown. He felt guilty and he turned him self in. Paul Allen didn't.
   
   
   
3. What would you have done if you were the judge?
   - I would let Roy brown be in jail for 5 months