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Common Core for Grade 6

More Lessons for Grade 6

Examples, solutions, videos, and lessons to help Grade 6 students understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.

*For example, “The ratio of wings to beaks in the bird house at the zoo was 2:1, because for every 2 wings there was 1 beak.” “For every vote candidate A received, candidate C received nearly three votes.”*

Common Core: 6.RP.1

### Suggested Learning Targets

Understanding ratios and using ratio language to describe a ratio relationship (6.RP.1)

**The meaning of ratio**

What a ratio is, how it is written and why the order of a ratio is important.

A ratio is a pair of non-negative numbers, which are not both zero. It is used to show a relationship between two quantities. The order of the numbers is important to the ratio.

Example:

There are 4 boys and 3 girls in the soccer team. Find the ratio of the number of boys to the number of girls. Find the ratio of the number of girls to the number of boys.

**6.RP.1 Introduction to Ratios**

How to write a ratio in simplest form?

There are many different ways to compare amount or quantities. A ratio is a comparison of two quantities by division.

Examples:

1. Write the ratio in simplest form that compares the number of red paper clips to the number of blue paper clips. Then explain its meaning.

2. Several students named their favorite flavor of gum. Write the ratio that compares the number who chose fruit to the total number of students.

3. A pet store sold the animals listed in the table in one week. Write the ratio of cats to pets sold that week. The explain its meaning.

4. Katy wants to divide her 30 flowers into two groups, so that the ratio is 2 to 3.

Test Practice:

1. At a putt-putt course there are 50 yellow golf balls, 45 red golf balls, 65 blue golf balls, 40 orange golf balls, and 60 green golf balls. Select the correct ratio to complete the table.

2. The table shows the number of each type of sports card that Jaclyn has collected. Write a ratio in simplest term that compares the number of basketball cards to the total number of cards.**Ratios (6.RP.1)**

A ratio is a comparison of 2 numbers, quantities or variables.

Ratios can be simplified just like a fraction.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

Common Core for Grade 6

More Lessons for Grade 6

Examples, solutions, videos, and lessons to help Grade 6 students understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.

Common Core: 6.RP.1

- I understand the what ratios are
- I can solve problems involving ratios.
- I can write ratio notation.
- I can explain how order matters when writing a ratio.
- I can demonstrate how ratios can be simplified.
- I can demonstrate how ratios compare two quantities; the quantities do not have to be the same unit of measure.
- I can recognize that ratios appear in a variety of different contexts; part-to-whole, part-to-part and rates.
- I can generalize that all ratios relate two quantities or measures within a given situation in a multiplicative relationship.
- I can analyze context to determine which kind of ratio is represented.

Component Skills from Previous Grades

Students should be comfortable with the concepts of addition, subtraction, multiplication, and/or division.

Understanding ratios and using ratio language to describe a ratio relationship (6.RP.1)

What a ratio is, how it is written and why the order of a ratio is important.

A ratio is a pair of non-negative numbers, which are not both zero. It is used to show a relationship between two quantities. The order of the numbers is important to the ratio.

Example:

There are 4 boys and 3 girls in the soccer team. Find the ratio of the number of boys to the number of girls. Find the ratio of the number of girls to the number of boys.

How to write a ratio in simplest form?

There are many different ways to compare amount or quantities. A ratio is a comparison of two quantities by division.

Examples:

1. Write the ratio in simplest form that compares the number of red paper clips to the number of blue paper clips. Then explain its meaning.

2. Several students named their favorite flavor of gum. Write the ratio that compares the number who chose fruit to the total number of students.

3. A pet store sold the animals listed in the table in one week. Write the ratio of cats to pets sold that week. The explain its meaning.

4. Katy wants to divide her 30 flowers into two groups, so that the ratio is 2 to 3.

Test Practice:

1. At a putt-putt course there are 50 yellow golf balls, 45 red golf balls, 65 blue golf balls, 40 orange golf balls, and 60 green golf balls. Select the correct ratio to complete the table.

2. The table shows the number of each type of sports card that Jaclyn has collected. Write a ratio in simplest term that compares the number of basketball cards to the total number of cards.

A ratio is a comparison of 2 numbers, quantities or variables.

Ratios can be simplified just like a fraction.

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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