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Name ____________________________________                       Date __________________
Mrs. Labuski / Mrs. Portsmore Period __________                 Unit 7 Lesson 1 Ratios
                                                                TB 8-1; OC 5-1
    VOCABULARY                          DEFINITION                      EXAMPLE

          RATIO                                                            See below


EQUIVALENT RATIOS



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
equivalent ratio
                                                         equivalent ratio
                                            Ratio                              (x by fractional
                                                         (÷ by fractional
Write a ratio and an equivalent ratio.   written as a
                                                        equivalent of one)
                                                                             equivalent of one)
                                          fraction                            (equal to ratio in
                                                             (reduce)
                                                                                first column)




 Mrs. Labuski has tried to start cooking healthier for her family.
 Instead of using white flour to make her famous Sunday Morning
 Pancake, Mrs. Labuski is going to replace some of the white flour
 with some whole wheat flour. Right now the recipe calls for 3
 cups of white flour. Mrs. Labuski is going to use 2 cups of whole
 wheat flour and one cup of white flour. What is the ratio of whole
 wheat flour to white flour?

 ____________________________________________________
Do you think the pancakes will taste more like whole wheat pancakes or regular
pancakes? Defend your position.
___________________________________________________________________
___________________________________________________________________
___________________________________________________________________
The regular recipe makes 20 pancakes. Since I go to the gym so early
in the morning, I have decided to double the recipe so that I have
leftovers for the week for my kids to eat for breakfast before school.

To double the recipe, you need _________cups of whole wheat flour
and _________cups of white flour. This makes a total of _________pancakes.

What is the ratio of whole wheat flour to white flour if I double the recipe?_______
To triple the recipe, you need _________cups of whole wheat flour and
_________cups of white flour. This makes a total of _________pancakes
What is the ratio of whole wheat flour to white flour if I triple the recipe?________
Mrs. Labuski volunteered to make pancakes for the PTA fundraiser breakfast. How
many cups of each flour will she need to make 100 pancakes?
whole wheat flour _________________ white flour ____________________
What is the ratio of whole wheat flour to white flour for 100 pancakes? _________
Complete the chart of equivalent ratios:
 single batch    double batch        triple batch   PTA breakfast
(20 pancakes) (40 pancakes) (60 pancakes)           (100 pancakes)



Why can you multiply or divide both terms of a ratio by the same number without
changing the value of the ratio?
___________________________________________________________________
___________________________________________________________________
___________________________________________________________________
Name ____________________________________                 Date __________________
Mrs. Labuski / Mrs. Portsmore Period __________           Unit 7 Lesson 1 Ratios
                                                          TB 8-1; OC 5-1
VOCABULARY                          DEFINITION                         EXAMPLE
                     A comparison of two quantities by division.
    RATIO                                                              See below
                              Can be written three ways.
                     Ratios that name the same comparison. Find
EQUIVALENT
                     equivalent ratios by multiplying or dividing
  RATIOS
                      both terms of a ratio by the same number.

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      93                9:12          9 to 12
                                 elephants          12 4            3:4           3 to 4
                                 2. giraffes to   81                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      105              10:12         10 to 12
                                 elephants         12 6             5:6           5 to 6
                                 5. elephants     124               12:9          12 to 9
                                 to lions         9     3           4:3           4 to 3
equivalent ratio
                                                         equivalent ratio
                                            Ratio                              (x by fractional
                                                         (÷ by fractional
Write a ratio and an equivalent ratio.   written as a
                                                        equivalent of one)
                                                                             equivalent of one)
                                          fraction                            (equal to ratio in
                                                             (reduce)
                                                                                first column)



                                             16                 2                    9
                                             56                 7                    21




                                             54                 6                    24
                                             9                  1                    4




                                             6                  1                    5
                                             42                 7                    35




                                             21                 3                    6
                                             35                 5                    10



Mrs. Labuski has tried to start cooking healthier for her family.
Instead of using white flour to make her famous Sunday Morning
Pancake, Mrs. Labuski is going to replace some of the white flour
with some whole wheat flour. Right now the recipe calls for 3
cups of white flour. Mrs. Labuski is going to use 2 cups of whole
wheat flour and one cup of white flour. What is the ratio of whole
wheat flour to white flour?

___ _____________________________________________
Do you think the pancakes will taste more like whole wheat pancakes or regular
pancakes? Defend your position.
The pancakes will taste more like whole wheat flour because there is more whole
wheat flour than white flour used in the pancakes.
The regular recipe makes 20 pancakes. Since I go to the gym so early
in the morning, I have decided to double the recipe so that I have
leftovers for the week for my kids to eat for breakfast before school.

To double the recipe, you need __4_______cups of whole wheat flour
and ___2______cups of white flour. This makes a total of ___40______pancakes.


What is the ratio of whole wheat flour to white flour if I double the recipe?_

To triple the recipe, you need __6_______cups of whole wheat flour and
__3_______cups of white flour. This makes a total of ___60______pancakes


What is the ratio of whole wheat flour to white flour if I triple the recipe?__
Mrs. Labuski volunteered to make pancakes for the PTA fundraiser breakfast. How
many cups of each flour will she need to make 100 pancakes?
whole wheat flour ____10_____________ white flour _____5_______________


What is the ratio of whole wheat flour to white flour for 100 pancakes?
Complete the chart of equivalent ratios:
 single batch    double batch        triple batch    PTA breakfast
(20 pancakes) (40 pancakes) (60 pancakes)            (100 pancakes)



Why can you multiply or divide both terms of a ratio by the same number without
changing the value of the ratio? Multiplying/dividing the numerator & denominator
by the same number (fractional equivalent of one) is equivalent to
multiplying/dividing by 1 (identity property of one)

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Unit 7 lesson 1 ratios equivalent ratios

  • 1. Name ____________________________________ Date __________________ Mrs. Labuski / Mrs. Portsmore Period __________ Unit 7 Lesson 1 Ratios TB 8-1; OC 5-1 VOCABULARY DEFINITION EXAMPLE RATIO See below EQUIVALENT RATIOS 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
  • 2. equivalent ratio equivalent ratio Ratio (x by fractional (÷ by fractional Write a ratio and an equivalent ratio. written as a equivalent of one) equivalent of one) fraction (equal to ratio in (reduce) first column) Mrs. Labuski has tried to start cooking healthier for her family. Instead of using white flour to make her famous Sunday Morning Pancake, Mrs. Labuski is going to replace some of the white flour with some whole wheat flour. Right now the recipe calls for 3 cups of white flour. Mrs. Labuski is going to use 2 cups of whole wheat flour and one cup of white flour. What is the ratio of whole wheat flour to white flour? ____________________________________________________
  • 3. Do you think the pancakes will taste more like whole wheat pancakes or regular pancakes? Defend your position. ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ The regular recipe makes 20 pancakes. Since I go to the gym so early in the morning, I have decided to double the recipe so that I have leftovers for the week for my kids to eat for breakfast before school. To double the recipe, you need _________cups of whole wheat flour and _________cups of white flour. This makes a total of _________pancakes. What is the ratio of whole wheat flour to white flour if I double the recipe?_______ To triple the recipe, you need _________cups of whole wheat flour and _________cups of white flour. This makes a total of _________pancakes What is the ratio of whole wheat flour to white flour if I triple the recipe?________ Mrs. Labuski volunteered to make pancakes for the PTA fundraiser breakfast. How many cups of each flour will she need to make 100 pancakes? whole wheat flour _________________ white flour ____________________ What is the ratio of whole wheat flour to white flour for 100 pancakes? _________ Complete the chart of equivalent ratios: single batch double batch triple batch PTA breakfast (20 pancakes) (40 pancakes) (60 pancakes) (100 pancakes) Why can you multiply or divide both terms of a ratio by the same number without changing the value of the ratio? ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________
  • 4. Name ____________________________________ Date __________________ Mrs. Labuski / Mrs. Portsmore Period __________ Unit 7 Lesson 1 Ratios TB 8-1; OC 5-1 VOCABULARY DEFINITION EXAMPLE A comparison of two quantities by division. RATIO See below Can be written three ways. Ratios that name the same comparison. Find EQUIVALENT equivalent ratios by multiplying or dividing RATIOS both terms of a ratio by the same number. 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 93 9:12 9 to 12 elephants 12 4 3:4 3 to 4 2. giraffes to 81 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 105 10:12 10 to 12 elephants 12 6 5:6 5 to 6 5. elephants 124 12:9 12 to 9 to lions 9 3 4:3 4 to 3
  • 5. equivalent ratio equivalent ratio Ratio (x by fractional (÷ by fractional Write a ratio and an equivalent ratio. written as a equivalent of one) equivalent of one) fraction (equal to ratio in (reduce) first column) 16 2 9 56 7 21 54 6 24 9 1 4 6 1 5 42 7 35 21 3 6 35 5 10 Mrs. Labuski has tried to start cooking healthier for her family. Instead of using white flour to make her famous Sunday Morning Pancake, Mrs. Labuski is going to replace some of the white flour with some whole wheat flour. Right now the recipe calls for 3 cups of white flour. Mrs. Labuski is going to use 2 cups of whole wheat flour and one cup of white flour. What is the ratio of whole wheat flour to white flour? ___ _____________________________________________
  • 6. Do you think the pancakes will taste more like whole wheat pancakes or regular pancakes? Defend your position. The pancakes will taste more like whole wheat flour because there is more whole wheat flour than white flour used in the pancakes. The regular recipe makes 20 pancakes. Since I go to the gym so early in the morning, I have decided to double the recipe so that I have leftovers for the week for my kids to eat for breakfast before school. To double the recipe, you need __4_______cups of whole wheat flour and ___2______cups of white flour. This makes a total of ___40______pancakes. What is the ratio of whole wheat flour to white flour if I double the recipe?_ To triple the recipe, you need __6_______cups of whole wheat flour and __3_______cups of white flour. This makes a total of ___60______pancakes What is the ratio of whole wheat flour to white flour if I triple the recipe?__ Mrs. Labuski volunteered to make pancakes for the PTA fundraiser breakfast. How many cups of each flour will she need to make 100 pancakes? whole wheat flour ____10_____________ white flour _____5_______________ What is the ratio of whole wheat flour to white flour for 100 pancakes? Complete the chart of equivalent ratios: single batch double batch triple batch PTA breakfast (20 pancakes) (40 pancakes) (60 pancakes) (100 pancakes) Why can you multiply or divide both terms of a ratio by the same number without changing the value of the ratio? Multiplying/dividing the numerator & denominator by the same number (fractional equivalent of one) is equivalent to multiplying/dividing by 1 (identity property of one)