Ratios, rates, and proportions!!!
Purpose:
(a) To understand the many different ways to compare two or more numbers.
(b) To determine when you can use ratios, rates, and proportions to help solve problems.
The BIG Question:
What is your “strategy” for knowing when to use a ratio, rate, or proportion?
Answers to Questions:
Ratios
1) What is a Ratio that explains the amount of money you get to keep every month compared with the combined money the other 3 people get? (do your best to simplify your answer)
Answer: 8 : 7
2) What is a Ratio that compares the amount of money you, Mike, Steve, and Jim each get every month?
(do your best to simplify your answer)
Answer: 8 : 4 : 2 : 1
Proportions
1) So are these rates REALLY proportional? Are they EQUAL if you use cross products?
Answer: NO
2) Can you figure out the rate for the amount as a (percent %) of ONE fence that each person paints per day?
Answer: 8.3% per day
3) Is the percent(%) of ONE fence that a(one) person paints per day
PROPORTIONAL to
the percent(%) of ONE fence that two people paint per 2 days?
Answer: YES
8.3% : 1 = 16.6% : 2
(a) To understand the many different ways to compare two or more numbers.
(b) To determine when you can use ratios, rates, and proportions to help solve problems.
The BIG Question:
What is your “strategy” for knowing when to use a ratio, rate, or proportion?
Answers to Questions:
Ratios
1) What is a Ratio that explains the amount of money you get to keep every month compared with the combined money the other 3 people get? (do your best to simplify your answer)
Answer: 8 : 7
2) What is a Ratio that compares the amount of money you, Mike, Steve, and Jim each get every month?
(do your best to simplify your answer)
Answer: 8 : 4 : 2 : 1
Proportions
1) So are these rates REALLY proportional? Are they EQUAL if you use cross products?
Answer: NO
2) Can you figure out the rate for the amount as a (percent %) of ONE fence that each person paints per day?
Answer: 8.3% per day
3) Is the percent(%) of ONE fence that a(one) person paints per day
PROPORTIONAL to
the percent(%) of ONE fence that two people paint per 2 days?
Answer: YES
8.3% : 1 = 16.6% : 2