Scale Factor Facts
Definition: A number that tells you how big or small the shape will get
Scale Factor
True or False: If two shapes look similar but are different angles, they are always scaled copies
False
You have a point at (2, 3). If you dilate it from the origin using a scale factor of 2, what are the new coordinates?
(4,6)
What shape is a circular grid made of?
Circles (or rings)
What does the “M” in MVPT stand for?
Movement
If the scale factor is 1, what happens to the size of the shape?
It stays the same size
You see a drawing of a square and a rectangle. Could this be a scaled copy? Why or why not?
No, because the angles and side proportions are different
If the center is (0,0) and a point is at (2,3), where does it go after a dilation with scale factor 2?
(4,6)
What is the special point in the middle of a circular grid called?
The center of dilation
What are Breakthrough Bucks, and how can you use them?
Paper money earned for exemplary behavior. Used to buy prizes.
A shape gets smaller... is the scale factor more or less than 1?
Less than 1
The sides of a shape were doubled, but the angles changed. Is it a scaled copy?
No
A dilation moves a point closer to the center. Was the scale factor more or less than 1?
Less than 1
A point of a shape is on the 2nd ring. You dilate it with scale factor 2. What ring will the new point be on?
The 4th ring
How many Breakthrough Bucks do you need for each prize level: Level 1, Level 2, and Level 3?
Level 1: 3, Level 2: 5, Level 3: 10
A triangle has sides 3 cm, 4 cm, and 5 cm. A copy has sides 6 cm, 8 cm, and 10 cm. What’s the scale factor?
2
A shape’s side lengths go from 2 → 6, 4 → 12, and 5 → 15. Is it a scaled copy?
Yes, scale factor of three
True or False: In a dilation, the shape’s side lengths change, but the angles stay the same.
True
What do rays on a circular grid show us during a dilation?
The direction each point moves
Name 3 Breakthrough Core Values
Any 3 of: Gratitude, enthusiasm, self-control, curiosity, perseverance, self-advocacy, social intelligence
If the scale factor is ½, what happens to the side lengths of the original shape?
They are cut in half (divided by 2)
A scaled copy was made, but one angle changed from 90° to 85°. Is it still a scaled copy?
No, angles must stay the same
A point is at (–3, 5). After a dilation centered at the origin with a scale factor of 3, where will the new point be?
(-9,15)
If a point is at 3 units from the center and you dilate by ⅓, where will it land?
1 unit from the center
What do I mean when I say "dinner table rules" for your phones?
Phones are not on the table and out of sight