Proportional Relationships
In the equation ¨ Y=kx¨ what does the K represent?
The Unit Rate
Describe a unit rate
What is a scale factor?
A ratio between two corresponding sides of similar figures.
What is the diameter of a circle?
The length of a circle from 1 side to the other side.
Mr Jackson wants to know how many people at his school likes Spiderman more than Thor. What would be the best way to get a representative sample?
Free response.
If Calvin were to order the same amount of burgers for 5 days in a row and on the 5th day ate a total of 10 burgers, what would the unit rate be?
2
What would be a better deal?
1. A box of 50 cookies that costs $10
2. A box of 20 cookies that costs $2
A box of cookies that costs $2
A toy dog is 3 inches tall, a real dog is 12 inches tall. What is the scale factor?
4
What is the equation for circumference of a circle?
C= πd
Dylan wanted to conduct a survey to see if students throughout the entire school believe the school should grant each student a fidget spinner. To do this he asked everyone in his class what they thought. Is this a good representative sample?
No
What is the unit rate in the equation ¨ Y=17x¨
17
What would be a better deal?
1. A 30oz bottle of shampoo for $7
2. A 40oz bottle of shampoo for $7
A 40oz bottle of shampoo for $7
Will wants to figure out how tall Object A is. Object B is 16 feet tall, and there is a scale factor of 2 between the two objects. How tall is object A?
8
How large is the radius of a circle that has a 24 cm diameter?
12 cm
Aubri wanted to see if residents in her neighborhood believed a new slide should be installed at her local park. Every 10th person who walked by Aubri would ask their opinion. Is this a good way to get a representative sample?
Yes
Logan wants to start saving money to buy a new X Box. He decided he was going to save up $9 each day. On which day would Logan have 72?
8
What is a better deal?
A 20 inch pizza for $17
A 8 inch pizza for $7
A 8 inch pizza for $7
Lamont is 4 feet tall. He has a cardboard cutout of himself in his room that is 20 feet tall. What is the scale factor?
5
What is the equation for the area of a circle?
A = πr²
Sophia wanted to see if students at her school would like a new mascot. What would be a bad way to get a representative sample of peoples opinions?
Free Response
Zeke decided he wanted to buy robux every single day. Before he started to buy robux every single day he already had 5 robux. If he saved up 5 robux for 11 days, how much robux would Zeke now have?
60
What is a better deal?
A 12oz bottle of toothpaste for $12
A 17oz bottle of toothpaste for $17
They're the same.
It is 18 times bigger.
Mrs Roy just bought a new house and needs to find a table that fits in her kitchen. She knows the radius of the circular table is 50cm. What is the area of the table?
7,854 cm.
Mrs Roy. wanted the teachers at her school to create a pizza day that would happen every other Friday for the students. She asked every 10th person who left the lunchroom if they thought pizza day should be created. Is this a good way to get a representative sample?
Yes