What are the rules to know it is proportional?
1) A straight Line that goes through Origin (0,0)
2) All ratios are the same rate (equivalent or constant)
What equation do we use to find the constant of proportionality?
y/x
1/2a=5
solve for a
a=10
Finish the Table
Slot 1: 5
Slot 2: 12
Use >,<, or = to make a statement.
2 in ___ 4 cm
>, because 1 inch = 2.54 cm
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, or a that represents an unknown number
Fill out the table.
Slot 1: 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. How many mables does each girl have?
8 marbles per girl
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 a recipe shows the relationship between the cups of water, x and pounds of beef, y, needed for beef casserole to be 3 pounds of beef for every 1 cup of water. What is the constant of proportionality and the equation?
k=3
y=3x
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.
y=15/22x
y=15/22 * (3498)
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.
Michael knows he can buy 2 apples for $2.50, he has $10 to spend on apples. How many apples can he buy?
He can buy 8 apples
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, x, and the number of thumbtacks used to hold them up, y to be 2 posters need 16 thumbtacks. 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
There are 3 girls for every 5 boys in Ms. William's First grade class room. If we know there are 9 girls, how many boys are in the class?
there are 15 boys in the class.
Use the equation y=kx
k=1/4 and y=5, solve for x
x=20
Look at the Table.
Tell me the variables, equation, and Proportional or Not proportional.
Variables: T-# of Trees A- # of Apples
a=13t
Proportional, because there is a constant ratio of 13 to 1
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