Subjects

Arithmetic

Proportions

Writing & Solving Proportions

Multi-Step Ratio and Percent Problems

Fun with Ratios in Math: Compare, Calculate, and Find Speed!

Name: Knowunity
Brand: Knowunity

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Fun with Ratios in Math: Compare, Calculate, and Find Speed!

Chelsea

@zuncho

625 Followers

A comprehensive guide to comparison of ratios and rates in math, covering unit rates, speed calculations, and practical applications.

• The guide explains the fundamental difference between ratios (comparing quantities with same units) and rates (comparing quantities with different units)
• Detailed examples demonstrate calculating unit rates with examples including real-world scenarios like subway car speeds and paint mixing
• Multiple representation methods for ratios are covered (using "to", ":", and fraction notation)
• The content includes practical applications like finding speed using ratio tables and comparing product prices per unit
• Complex problem-solving scenarios incorporate ratio tables, graphs, and unit rate calculations

5/15/2023

$ratio - comparison of 2 quantities using division (ratio = rational = fractional) - ratios use same units - can be written in 3 different wa$

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Page 2: Advanced Rate Calculations and Speed Problems

This page delves deeper into practical applications of ratios and rates, focusing on more complex calculations involving the International Space Station's orbital speed and subway car velocity measurements.

Example: The page works through calculating the International Space Station's speed in miles per second using a ratio table.

Vocabulary: Complex fraction is defined as a fraction that contains fractions within it.

Highlight: The page demonstrates how to interpret and analyze speed graphs, comparing different representations of the same speed (0.5 miles per minute).

$ratio - comparison of 2 quantities using division (ratio = rational = fractional) - ratios use same units - can be written in 3 different wa$

View

Page 3: Real-World Applications and Price Comparisons

This page focuses on practical applications of ratios and rates in everyday scenarios, including paint mixing proportions and price comparison problems.

Example: A detailed paint mixing problem shows how to calculate the required amounts of yellow and blue paint to make 15 cups of green paint using ratio relationships.

Highlight: The page concludes with a practical price comparison problem between different sizes of cereal boxes, demonstrating how to determine the better value using unit rates.

Example: A price comparison between a 16 oz box of cereal for $5.49 and a 20 oz box for $5.99 shows how to use unit rates to determine the better value.

$ratio - comparison of 2 quantities using division (ratio = rational = fractional) - ratios use same units - can be written in 3 different wa$

View

Page 1: Understanding Ratios and Rates

This page introduces the fundamental concepts of ratios and rates in mathematics. A ratio compares two quantities using division where both quantities share the same units. The page demonstrates three different ways to write ratios: using "to" (3 to 4), using a colon (3:4), or as a fraction (3/4).

Definition: A rate is a comparison of two quantities with different units, typically expressing speed or other measurements where units differ.

Example: A practical example shows how to find the ratio of males to females in a subway car (45:60 simplified to 3:4) and calculate the car's speed (0.5 miles per minute).

Vocabulary: Unit rate refers to a rate with 1 in the denominator, such as 30 miles/hour.

Highlight: The page includes a detailed example of using ratio tables to find unit rates in the context of artificial turf pricing, demonstrating how to calculate the cost per square foot.

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.

Download in

Google Play

Download in

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

4.9+

Average App Rating

15 M

Students use Knowunity

#1

In Education App Charts in 12 Countries

950 K+

Students uploaded study notes

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

iOS User

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

Stefan S, iOS User

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

SuSSan, iOS User

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

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Subjects

Arithmetic

Proportions

Writing & Solving Proportions

Multi-Step Ratio and Percent Problems

Fun with Ratios in Math: Compare, Calculate, and Find Speed!

Chelsea

@zuncho

625 Followers

A comprehensive guide to comparison of ratios and rates in math, covering unit rates, speed calculations, and practical applications.

5/15/2023

7th/8th

Arithmetic

$ratio - comparison of 2 quantities using division (ratio = rational = fractional) - ratios use same units - can be written in 3 different wa$

Page 2: Advanced Rate Calculations and Speed Problems

Example: The page works through calculating the International Space Station's speed in miles per second using a ratio table.

Vocabulary: Complex fraction is defined as a fraction that contains fractions within it.

Highlight: The page demonstrates how to interpret and analyze speed graphs, comparing different representations of the same speed (0.5 miles per minute).

$ratio - comparison of 2 quantities using division (ratio = rational = fractional) - ratios use same units - can be written in 3 different wa$

Page 3: Real-World Applications and Price Comparisons

This page focuses on practical applications of ratios and rates in everyday scenarios, including paint mixing proportions and price comparison problems.

Example: A detailed paint mixing problem shows how to calculate the required amounts of yellow and blue paint to make 15 cups of green paint using ratio relationships.

Highlight: The page concludes with a practical price comparison problem between different sizes of cereal boxes, demonstrating how to determine the better value using unit rates.

Example: A price comparison between a 16 oz box of cereal for $5.49 and a 20 oz box for $5.99 shows how to use unit rates to determine the better value.

$ratio - comparison of 2 quantities using division (ratio = rational = fractional) - ratios use same units - can be written in 3 different wa$

Page 1: Understanding Ratios and Rates

Definition: A rate is a comparison of two quantities with different units, typically expressing speed or other measurements where units differ.

Example: A practical example shows how to find the ratio of males to females in a subway car (45:60 simplified to 3:4) and calculate the car's speed (0.5 miles per minute).

Vocabulary: Unit rate refers to a rate with 1 in the denominator, such as 30 miles/hour.

Highlight: The page includes a detailed example of using ratio tables to find unit rates in the context of artificial turf pricing, demonstrating how to calculate the cost per square foot.

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.

Download in

Google Play

Download in

App Store

4.9+

Average App Rating

15 M

Students use Knowunity

#1

In Education App Charts in 12 Countries

950 K+

Students uploaded study notes

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

iOS User

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

Stefan S, iOS User

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

SuSSan, iOS User

Fun with Ratios in Math: Compare, Calculate, and Find Speed!

Similar Content

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+

15 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

Fun with Ratios in Math: Compare, Calculate, and Find Speed!

Similar Content

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+

15 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