What are the rules to know it is proportional?
1) A straight Line
2) Goes through Origin (0,0)
3) Same rate
What equation do we use to find the constant of proportionality?
y/x
1/2a=5
10
Finish the Table
Slot 1: 5
Slot 2: 12
Use >,<, or = to make a statement.
2in ___ 4cm
>
Proportional or Not Proportional
Not Proportional
There are 5 football players for every 6 coaches.
Write an equation to determine how many coaches there are if you know how many football players there are.
c=6/5f
What is a variable?
A letter like x, a, and so on.
Fill out the table.
Slot 1: 8
Slot 2: 2.5
Slot 3: 3
A large size bag of Skittles costs $3.14 and contains 157 candies. How much does EACH candy cost?
0.02
2 cents
Vanessa and Michelle must decide how to divide 16 marbles among themselves. Which graph represents this scenario?
Pictures on boards
Graph c
There are 5 football players for every 6 coaches.
Write an equation to determine how many football players there are if you know the number of coaches.
f=5/6c
The graph shows the relationship between the cups of water and pounds of beef needed for beef casserole. What is the constant of proportionality?
Picture on board
k=1/3
The constant of proportionality between the number of fiction (f) and the number of nonfiction books (n) is 15/22. There are 3498 nonfiction books in the library. How many fiction books are in the library.
2385 fiction books
Briana is making banana pudding for the class party. The recipe she is using calls for 2 cups of pudding to make 5 cups of banana pudding. Complete the table.
Check table printed.
Complete table.
The perimeter of a square is 4 times the length of one side of the square. Which graph represents this scenario?
Pictures on boards
Graph A
There are 5 football players for every 6 coaches.
If there are 50 football players in the team, how many coaches are there?
60 coaches
The graph show the relationship between the number of posters in a classroom and the number of thumbtacks used to hold them up. What is the constant of proportionality?
k=8
The constant of proportionality between the number of cats (c) in a pet shelter and the number of dogs (d) in the shelter is 3.
Write the equation to represent the situation.
c=3d
Determine the unit rate for each situation.
1. $26.99 for 15 pounds
2. 15 miles jogged in 3.75 hours
1. Approximately $1.80 per pound
2. 4 miles per hour
The area of a square is calculated by squaring the length of one side of the square. Which graph represents this scenario?
Pictures on boards
Graph B
Use the equation for the constant of proportionality, k=y/x.
b. k=1/4 and y=5
x=20
Look at the Table.
Tell me the variables, equation, and Proportional or Not proportional.
Variables: T-# of Trees A- # of Apples
t=13a OR a=13t
Proportional
The constant of proportionality between the number of cats (c) in a pet shelter and the number of dogs (d) in the shelter is 3.
If there are 60 cats in the shelter. How many dogs are in the shelter?
20 dogs
Calculate the area of the shaded region. Use 3.14. A=πr2
Rectangle:1000
Circle: 200.96
Answer: 799.04