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Name ____________________________________                       Date __________________
Mrs. Labuski / Mrs. Rooney Period __________                    Lesson 8-1 Ratios & Rates

    VOCABULARY                       DEFINITION                          EXAMPLE
                                  A comparison of two
          RATIO                   quantities by division.                  See below
                                Can be written three ways.

Let’s compare the number of boys in the class to the number of girls in the class and
write it as a ratio. First find each quantity.
                            Number                                           Number
                            of boys                                          of girls

                              11                                                9




Then write the comparison as a ratio, using the quantities in the same order as
they appear in the word expression. There are three ways to write a ratio.

    Written as a fraction             Written with a colon            Written with words
           11
                                             11:9                           11 to 9
           9
Now you try:
                                   Ratio         Written as a    Written with   Written with
                                                  fraction        a colon         words
                               1. lions to      9 3                 9:12            9 to 12
                               elephants       12 4                 3:4             3 to 4
                               2. giraffes to  8      1             8:16            8 to 16
                               otters         16 2                  1:2             1 to 2
                               3. lions to       9
                                                                    9:10            9 to 10
                               seals             10
                               4. seals to    10      5            10:12         10 to 12
                               elephants      12 6                  5:6           5 to 6
                               5. elephants 12 4                    12:9          12 to 9
                               to lions       9     3               4:3           4 to 3
VOCABULARY                               DEFINITION                   EXAMPLE
                                    A comparison of two quantities that
           RATE                            have different units
                                               of measure.
                                    When the comparison is to one unit.
      UNIT RATE

Which bottle of detergent would be cheaper? It’s easier to compare when you
know the unit rate.
                                      5 dollars                   10 dollars
                                      20 ounces                   90 ounces

                              $10                  .25                         .11
                                              20)5.00                     90)10.0
      $5
                                         0.25 dollars                 0.11 dollars
                 90oz.                   1 ounce                        1 ounce
20oz.
                                   It is a better ‘deal’ to purchase the $10 bottle.
When the second term of a rate is 1 unit, the rate is a unit rate.

To write             as a unit rate, divide each term by 3.

150 miles ÷ 3 hours = 50 miles
 3 hours ÷ 3 hours = 1 hour


The unit rate is          .

Now you try:
6


.                                                    9.


7.                                                   10.


8.
Name ____________________________________         Date __________________
Mrs. Labuski / Mrs. Rooney Period __________ Lesson 8-1 Ratios & Rates

    VOCABULARY                          DEFINITION                      EXAMPLE

          RATIO                                                         See below


Let’s compare the number of boys in the class to the number of girls in the class and
write it as a ratio. First find each quantity.
                            Number                                         Number
                            of boys                                        of girls




Then write the comparison as a ratio, using the quantities in the same order as
they appear in the word expression. There are three ways to write a ratio.

    Written as a fraction             Written with a colon           Written with words



Now you try:
                                   Ratio         Written as a   Written with   Written with
                                                  fraction       a colon         words
                               1. lions to
                               elephants
                               2. giraffes to
                               otters
                               3. lions to
                               seals
                               4. seals to
                               elephants
                               5. elephants
                               to lions
VOCABULARY                           DEFINITION                 EXAMPLE

             RATE


      UNIT RATE

Which bottle of detergent would be cheaper? It’s easier to compare when you
know the unit rate.


                              $10

        $5

                     90oz.
20oz.

When the second term of a rate is 1 unit, the rate is a unit rate.

To write             as a unit rate, divide each term by 3.

150 miles ÷ 3 hours = 50 miles
 3 hours ÷ 3 hours = 1 hour


The unit rate is          .

Now you try:

6.                                               9.


7.                                               10.


8.
p. 394 #6-10; p. 395#25-31

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Lesson 8 1 ratios & rates

  • 1. Name ____________________________________ Date __________________ Mrs. Labuski / Mrs. Rooney Period __________ Lesson 8-1 Ratios & Rates VOCABULARY DEFINITION EXAMPLE A comparison of two RATIO quantities by division. See below Can be written three ways. Let’s compare the number of boys in the class to the number of girls in the class and write it as a ratio. First find each quantity. Number Number of boys of girls 11 9 Then write the comparison as a ratio, using the quantities in the same order as they appear in the word expression. There are three ways to write a ratio. Written as a fraction Written with a colon Written with words 11 11:9 11 to 9 9 Now you try: Ratio Written as a Written with Written with fraction a colon words 1. lions to 9 3 9:12 9 to 12 elephants 12 4 3:4 3 to 4 2. giraffes to 8 1 8:16 8 to 16 otters 16 2 1:2 1 to 2 3. lions to 9 9:10 9 to 10 seals 10 4. seals to 10 5 10:12 10 to 12 elephants 12 6 5:6 5 to 6 5. elephants 12 4 12:9 12 to 9 to lions 9 3 4:3 4 to 3
  • 2. VOCABULARY DEFINITION EXAMPLE A comparison of two quantities that RATE have different units of measure. When the comparison is to one unit. UNIT RATE Which bottle of detergent would be cheaper? It’s easier to compare when you know the unit rate. 5 dollars 10 dollars 20 ounces 90 ounces $10 .25 .11 20)5.00 90)10.0 $5 0.25 dollars 0.11 dollars 90oz. 1 ounce 1 ounce 20oz. It is a better ‘deal’ to purchase the $10 bottle. When the second term of a rate is 1 unit, the rate is a unit rate. To write as a unit rate, divide each term by 3. 150 miles ÷ 3 hours = 50 miles 3 hours ÷ 3 hours = 1 hour The unit rate is . Now you try: 6 . 9. 7. 10. 8.
  • 3. Name ____________________________________ Date __________________ Mrs. Labuski / Mrs. Rooney Period __________ Lesson 8-1 Ratios & Rates VOCABULARY DEFINITION EXAMPLE RATIO See below Let’s compare the number of boys in the class to the number of girls in the class and write it as a ratio. First find each quantity. Number Number of boys of girls Then write the comparison as a ratio, using the quantities in the same order as they appear in the word expression. There are three ways to write a ratio. Written as a fraction Written with a colon Written with words Now you try: Ratio Written as a Written with Written with fraction a colon words 1. lions to elephants 2. giraffes to otters 3. lions to seals 4. seals to elephants 5. elephants to lions
  • 4. VOCABULARY DEFINITION EXAMPLE RATE UNIT RATE Which bottle of detergent would be cheaper? It’s easier to compare when you know the unit rate. $10 $5 90oz. 20oz. When the second term of a rate is 1 unit, the rate is a unit rate. To write as a unit rate, divide each term by 3. 150 miles ÷ 3 hours = 50 miles 3 hours ÷ 3 hours = 1 hour The unit rate is . Now you try: 6. 9. 7. 10. 8.
  • 5. p. 394 #6-10; p. 395#25-31