Proportional Relationships
Scaled Figures
Circles
Proportional Relationship Graphs
Random
1
Each time Ms. McLean assigns a quiz she has to grade 30 quizzes. If she assigns 10 quizzes in the term how many quizzes did she grade in total?
300
1
If the scale factor is larger than this number the copy will be bigger than the original.
What is 1
1
What is the circumference of the circle shown?
8pi or 25.133 or 25.12
1
If someone is driving 50 miles per hour, would they be driving faster or slower than the rate represented in the graph?
Slower
1
What is a way to get a representative sample for this school?
Answers vary... good if approved by the teacher.
2
Travon needs to make multiple batches of cookies using a recipe that calls for 2.5 cups of flour.
Write an equation to represent this situation. (label your variables)
y= 2.5x where y = total amount of flour and x = number of batches
2
When scaling an image do you add or multiply the scale factor?
Multiply
2
Define Radius and Diameter
Radius = distance from the center of the circle to the edge of the circle
Diameter = the distance across a circle through the center
2
What does (0,0) represent in the context of this graph?
0 hours = 0 miles
2
Athena is fundraising for a basketball tournament by selling candy bars outside the grocery store. On a recent weekend, Athena kept track of how many customers at the grocery store walked by the table and how many stopped to purchase a candy bar. She counted 75 people who walked by the table, 24 of whom stopped and purchased a candy bar.
What portion of people stopped and purchased a candy bar?
24/75 or 8 /25
3
x/7 = 17.5/24.5
5
3
If you scale by a fraction between 0 and 1 what will happen to the copy?
It will get smaller
3
What is the area of the circle?
Area = 16pi or 50.24
3
If the graph continued to 1000 hours what would be the distance at that point?
60,000 miles
3
After a random sample 10 people like vanilla and 14 people like chocolate.
If there are 300 people total, how many like chocolate and how many like vanilla?
125 people like vanilla and 175 people like chocolate
4
What is the better deal?
32oz for $2.40 or 80 oz for $4.80?
80 oz for $4.80
4
What is the scale factor between these shapes?
2.4
4
What is the formula for the area of a circle?
Area = pi * radius * radius
4
What is the unit rate on this graph?
60
4
If you take a rectangle and scale it by 2 how do the areas of the original and the copy compare?
The area of the copy will be 4 times the area of the original.
5
If Sam can run 5 miles in 30 min. How long will it take Sam to run 21 miles?
126 min or 2.1 hours or 2 hours and 6 min
5
What is the length of the missing value?
5.52
5
What is pi?
Pi is the ratio between the circumference and diameter of circles.
5
Write an equation for this graph, and label your variables.
y = 60 x
y = total miles and x = total time
5
A. What is the difference between a sample and a population in statistics?
B. What makes something a good sample?
A. Population is the entire group you are interested in. Sample is a small part of the group.
B. A good sample is random and represents the entire population. It will have a similar center, shape and spread as the population.