Understand Ratios - MathCoach Interactive

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Compute
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fractions and apply these procedures to solving problems.
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UNDERLYING SKILLS AND CONCEPTS:
compare whole numbers;
fractions
Understand Ratios
There are 3 boys and 4 girls in drama club.
What is the ratio of boys to girls?
A ratio is a comparison between two numbers.
The ratio of boys to girls is 3 to 4.
3
We can write it 3 : 4 or !
.
4
Notice that a ratio can look like a fraction.
This ratio tells you that there are more girls than boys.
E x am p l E
1
What is the ratio of new releases to comedy?
1
The ratio is 1 to 5 or 1 : 5 or !5 .
What is the ratio of comedy to new releases?
5
The ratio is 5 to 1 or 5 : 1 or !1 .
E x am p l E
The order of the numbers
in a ratio is important.
The order of the numbers tells
which item is being compared first.
Both ratios tell you that there are more
comedy than new releases.
2
A bag has 8 marbles. 3 are white and 5 are gray.
What is the ratio of white marbles to the entire bag of marbles?
3
The ratio is 3 : 8 or !8 .
Notice that this ratio compares part of the bag to the whole bag.
What is the ratio of the entire bag to the gray marbles?
8
8 : 5 or !5 .
page 254
Chapter 22 – Lesson 1
E – © CSL Associates, Inc. All rights reserved.
The video store has 1 section for new
releases and 5 sections for comedy.
Name
P RAC T I C E
Use the picture to write each ratio. Write the ratio as a fraction, in words, and using the : symbol.
1. striped marbles to solid marbles
2. striped marbles to all the marbles
1
, 1 to 4, 1 : 4
4
3. solid marbles to spiral swirl marbles
1
, 1 to 7, 1 : 7
7
4. all the marbles to spiral swirl marbles
4
, 4 to 2, 4 : 2
2
7
, 7 to 2, 7 : 2
2
Write a ratio for each situation. Write the ratio as a fraction.
5. 5 boys and 7 girls joined the karate
E – © CSL Associates, Inc. All rights reserved.
team. What is the ratio of boys to girls
on the team?
5
7
6. For every 1 game that the baseball team
lost, they won 2 games. What is the
team’s ratio of losses to wins?
1
2
7. 3 teachers and 4 parents came to
8. Jan’s computer has 3 math programs
supervise the karate team. What is the
ratio of parents to teachers?
and 4 reading programs. What is the
ratio of reading programs to all the
programs?
4
3
4
7
Math
Reasoning
Ratios
MR 2.3
1
9. In a box of cookies, the ratio of chocolate chip to mint fudge is 3 or 1 : 3. Are there
more chocolate chip or more mint fudge cookies in the box?
Explain your answer.
More mint fudge. The item with the greater number in a ratio is
the item that is larger or has more.
Chapter 22 – Lesson 1
page 255
MCX94.HW.CL.G5.FM&Lesson.v211
8/2/04
18:03
Page 170
Name
…at home!
P RAC T I C E
Use the picture to write each ratio. Write the ratio as a fraction, in words, and using the : symbol.
1. striped marbles to spiral swirl marbles
2. solid marbles to all the marbles
1
, 1 to 2, 1 : 2
2
4
, 4 to 7, 4 : 7
7
3. solid marbles to striped marbles
4. all the marbles to striped marbles
4
, 4 to 1, 4 : 1
1
7
, 7 to 1, 7 : 1
1
Write a ratio for each situation. Write the ratio as a fraction.
6. For every 1 game that the basketball
team. What is the ratio of boys to
girls on the team?
team lost, they won 4 games. What is
the team’s ratio of losses to wins?
6
8
1
4
7. 2 teachers and 5 parents came to
8. Mary’s computer has 3 math programs
supervise the swim team. What is the
ratio of parents to teachers?
and 2 reading programs. What is the
ratio of math programs to all the
programs?
5
2
3
5
Math
Reasoning
Ratios
MR 2.3
1
9. In a box of cookies, the ratio of oatmeal to taffy is or 1 : 4.
4
Are there more oatmeal or more taffy cookies
in the box? Explain your answer.
More taffy cookies. The item with the greater number in a ratio is
the item that is larger or has more.
page 170
Home Resource and Homework
Chapter 22 Lesson 1
E – © CSL Associates, Inc. All rights reserved.
5. 6 boys and 8 girls joined the swim
MCX94TEG5CH01_32.v7.4.2 2/24/01 19:48 Page 469
Name
P RAC T I C E
Use the picture to write each ratio. Write the ratio as a fraction, in words, and using the : symbol.
1. striped marbles to solid marbles
2. striped marbles to all the marbles
1
, 1 to 4, 1 : 4
4
1
, 1 to 7, 1 : 7
7
3. solid marbles to spiral swirl marbles
4. all the marbles to spiral swirl marbles
4
, 4 to 2, 4 : 2
2
7
, 7 to 2, 7 : 2
2
Write a ratio for each situation. Write the ratio as a fraction.
5. 5 boys and 7 girls joined the karate
E – © CSL Associates, Inc. All rights reserved.
team. What is the ratio of boys to girls
on the team?
5
7
6. For every 1 game that the baseball team
lost, they won 2 games. What is the
team’s ratio of losses to wins?
1
2
7. 3 teachers and 4 parents came to
8. Jan’s computer has 3 math programs
supervise the karate team. What is the
ratio of parents to teachers?
and 4 reading programs. What is the
ratio of reading programs to all the
programs?
4
3
4
7
Math
Reasoning
Ratios
MR 2.3
1
9. In a box of cookies, the ratio of chocolate chip to mint fudge is or 1 : 3. Are there
3
more chocolate chip or more mint fudge cookies in the box?
Explain your answer.
More mint fudge. The item with the greater number in a ratio is
the item that is larger or has more.
Chapter 22 – Lesson 1
Student Book Page
page 255
Name
…at home!
P RAC T I C E
Use the picture to write each ratio. Write the ratio as a fraction, in words, and using the : symbol.
1. striped marbles to spiral swirl marbles
2. solid marbles to all the marbles
1
, 1 to 2, 1 : 2
2
4
, 4 to 7, 4 : 7
7
3. solid marbles to striped marbles
4. all the marbles to striped marbles
7
, 7 to 1, 7 : 1
1
4
, 4 to 1, 4 : 1
1
Write a ratio for each situation. Write the ratio as a fraction.
6. For every 1 game that the basketball
team. What is the ratio of boys to
girls on the team?
team lost, they won 4 games. What is
the team’s ratio of losses to wins?
6
8
1
4
7. 2 teachers and 5 parents came to
8. Mary’s computer has 3 math programs
supervise the swim team. What is the
ratio of parents to teachers?
and 2 reading programs. What is the
ratio of math programs to all the
programs?
5
2
3
5
Math
Reasoning
Ratios
MR 2.3
1
9. In a box of cookies, the ratio of oatmeal to taffy is 4 or 1 : 4.
Are there more oatmeal or more taffy cookies
in the box? Explain your answer.
More taffy cookies. The item with the greater number in a ratio is
the item that is larger or has more.
page 170
Home Resource and Homework
Chapter 22 Lesson 1
E – © CSL Associates, Inc. All rights reserved.
5. 6 boys and 8 girls joined the swim