Download Ratios, Rates & Unit Rates and more Study notes Educational Mathematics in PDF only on Docsity!
Math 6/7 NOTES (1.1) Name __________________________________
Ratios, Rates & Unit Rates
Ratios
A ____________________ is a comparison of two quantities by division.
A ratio can be used to represent relationships within a set (parts to a whole) or between two sets.
o For instance, we can use a ratio to compare the number of roses in a vase to the number of tulips in the vase. (Between two sets – roses to tulips)
o Or, we can compare the number of green frogs in a pond to the total number of frogs in the same pond. (Within a set – specific frogs to all frogs)
There are three different ways that we can write ratios.
1. ________________ 2. _______________ 3. ______________
fraction in simplest form using a colon the word “ to”
Example 1: Write the ratio that compares the number of footballs to the number of tennis
balls.
Example 2: Write the ratio that compares the girls to the total number of students.
Let’s Practice… Write each ratio three different ways. Don’t forget to simplify each ratio.
- The number of dogs to the number of cats.
- 4 roses out of 24 flowers
- 12 circles to 8 squares
You Practice…
Write each ratio as a fraction in simplest form, using a colon, and using the word “to”.
3 sailboats to 6 motorboats 2) 4 tulips to 9 daffodils
5 baseballs to 25 softballs 4) 2 days out of 8 days
6 poodles out of 18 dogs 6) 10 yellow eggs out of 12 colored eggs
12 sheets of paper out of 28 8) 18 hours out of 24 hours
16 elms out of 20 trees 10) 15 trumpets to 9 trombones
5 ducks to 30 geese 12) 14 lions to 10 tigers
6 sodas out of 16 drinks 14) 20 blue jays out of 35 birds
Write the ratio “21 wins to 9 losses” as a fraction in simplest form.
Two ratios that have the same value are equivalent ratios.
Determine whether the ratios are equivalent.
and and and
Bargain Hunting Activity
For each exercise below, rates are given in Column A and Column B. Figure out the best buy.
Column A Unit Rate A Column B Unit Rate B Best Buy (A or B?)
1 apple for $0.19 3 apples for $0.
20 pounds of pet food for $14.
50 pounds of pet food for $37.
A car that travels 308 miles on 11 gallons of gasoline
A car that travels 406 miles on 14 gallons of gasoline
10 pens for $8.99 25 pens for $19.
1 - gallon can of paint for $13.99 5 - gallon bucket of paint for $67.
84 ounces of liquid detergent for $10.
48 ounces of liquid detergent for $6.
5,000 square feet of lawn food for $11.
12,500 square feet of lawn food for $29.
2 compact discs for $26.50 3 compact discs for $40.
8 pencils for $0.99 12 pencils for $1.
1,000 sheets of computer paper for $8.
5,000 sheets of computer paper for $41.
R
