In this scribe, I had to pick two questions on page 87 and answer them. These are the two questions I decided to answer:
24. a) What are the next three triangular numbers
10, 15, 21
b) Add together any two consecutive triangular numbers. What do you notice about the sums?
The sums equal perfect squares.
Example, 1+3=4 3+6=9 6+10=16
25. A square digital photo on the computer has an area of 144 cm2.
a) What is the side length of the photo?
The side length of the photo is 12 cm.
b) The photo is enlarged so that the side length is now 36 cm. What is the area of the enlarged photo?
The area of the enlarged photo is now 1296 cm2
c) How many times as large as the original area is the enlarged area?
1296/144=9 The original photos area was enlarged by 9x
d) How many times as large as the original side length is the enlarged side length?
36/12=3 The original photos side length was enlarged by 3x
e) Use what you know about the square root of a perfect square to identify the relationship between the numbers in parts c) and d).