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Study note

Islombek

United States of America

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Arithmetic

6th grade Math notes 

Ratios

Equivalent ratios

Title: Study Notes on Ratios and Rates (Grade 6)
Introduction:
Ratios and rates are important mathematical concepts that help us
compare quantities and understand relationships between them. In grade
6 math, you will learn how to work with ratios, calculate rates, and solve
problems using these concepts.
Note-Taking Structure:
1. What are Ratios?
2. Equivalent Ratios
3. Ratio Tables
4. Unit Rates
5. Solving Problems with Ratios and Rates
1. What are Ratios?
- A ratio is a comparison of two quantities through division.
- It shows how many times one quantity is greater or smaller than
another.
- Ratios can be written in three different forms: fraction, colon, or "to"
form.
Example: If there are 3 boys and 5 girls in a class, the ratio of boys to
girls is 3:5 or 3/5.
2. Equivalent Ratios:
- Equivalent ratios compare the same relationship but have different
values.
- They can be found by multiplying or dividing both parts of a ratio by
the same number.
Example: The ratios 2:4 and 3:6 are equivalent because they represent
the same comparison. 3. Ratio Tables:
- Ratio tables are useful for organizing and comparing different ratios.
- They help identify patterns and find missing values.
Example:
Quantity A Quantity B
3
4
1 6
| 8
1 ?
4. Unit Rates:
- Unit rates are rates that have a denominator of 1.
- They tell us how much of one quantity corresponds to 1 unit of another
quantity.
Example: If a car travels 240 miles in 4 hours, the unit rate is 240
miles/4 hours = 60 miles per hour.
5. Solving Problems with Ratios and Rates:
- Ratios and rates are used in various real-life situations, such as scaling,
pricing, and comparisons.
- To solve problems, identify the given ratio or rate, set up an equation,
and solve for the unknown.
Example: If a recipe requires 2 cups of flour for every 3 cups of sugar,
and you have 9 cups of sugar, how much flour do you need?
Factors for Success:
- Understand the concept of ratios and rates.
- Practice converting ratios to different forms.
- Learn to set up equations using ratios and rates.
- Practice solving word problems involving ratios and rates.
- Regularly review and reinforce these concepts.
Conclusion: Understanding ratios and rates is essential in grade 6 math. By mastering
these concepts, you will be able to compare quantities, solve problems,
and apply mathematical reasoning in various real-life scenarios. Regular
practice and application will help you become confident in working with
ratios and rates.

6th grade Math notes

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6th grade Math notes

Can't find what you're looking for? Explore other subjects.

Knowunity is the # 1 ranked education app in five European countries

Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.

4.9+

13 M

#1

950 K+

Still not sure? Look at what your fellow peers are saying...

I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D

The application is very simple and well designed. So far I have found what I was looking for :D

Love this App ❤️, I use it basically all the time whenever I'm studying