Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 6 Unit 3

Unit Rates and Percentages

Lesson 1: The Burj Khalifa

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Nodes
VideoTutorial--Ratios13Thumbnail.jpg Video Tutorial: Ratios, Video 13 Video Tutorial: Ratios, Video 13

Topic

Ratios

Description

This video demonstrates calculating rates from data sets, focusing on patterns like distance-time relationships and wages. Examples include determining car speeds, hourly wages, and unit costs of gasoline. Data tables are used to visualize and compute rates.

Ratios and Rates
VideoTutorial--Ratios13Thumbnail.jpg Video Tutorial: Ratios, Video 13 Video Tutorial: Ratios, Video 13

Topic

Ratios

Description

This video demonstrates calculating rates from data sets, focusing on patterns like distance-time relationships and wages. Examples include determining car speeds, hourly wages, and unit costs of gasoline. Data tables are used to visualize and compute rates.

Ratios and Rates
VideoTutorial--Ratios14Thumbnail.jpg Video Tutorial: Ratios, Video 14 Video Tutorial: Ratios, Video 14

Topic

Ratios

Description

Rates are linked to slopes in linear functions. The video explores calculating rates of change for graphs of speed, savings growth, and loan repayment. It highlights using the slope formula to interpret and solve practical problems.

Ratios and Rates
VideoTutorial--Ratios14Thumbnail.jpg Video Tutorial: Ratios, Video 14 Video Tutorial: Ratios, Video 14

Topic

Ratios

Description

Rates are linked to slopes in linear functions. The video explores calculating rates of change for graphs of speed, savings growth, and loan repayment. It highlights using the slope formula to interpret and solve practical problems.

Ratios and Rates
VideoTutorial--Ratios14Thumbnail.jpg Video Tutorial: Ratios, Video 14 Video Tutorial: Ratios, Video 14

Topic

Ratios

Description

Rates are linked to slopes in linear functions. The video explores calculating rates of change for graphs of speed, savings growth, and loan repayment. It highlights using the slope formula to interpret and solve practical problems.

Ratios and Rates
VideoTutorial--Ratios14Thumbnail.jpg Video Tutorial: Ratios, Video 14 Video Tutorial: Ratios, Video 14

Topic

Ratios

Description

Rates are linked to slopes in linear functions. The video explores calculating rates of change for graphs of speed, savings growth, and loan repayment. It highlights using the slope formula to interpret and solve practical problems.

Ratios and Rates
VideoTutorial--Ratios14Thumbnail.jpg Video Tutorial: Ratios, Video 14 Video Tutorial: Ratios, Video 14

Topic

Ratios

Description

Rates are linked to slopes in linear functions. The video explores calculating rates of change for graphs of speed, savings growth, and loan repayment. It highlights using the slope formula to interpret and solve practical problems.

Ratios and Rates
VideoTutorial--Ratios15Thumbnail.jpg Video Tutorial: Ratios, Video 15 Video Tutorial: Ratios, Video 15

Topic

Ratios

Description

This video covers converting units using rates, with examples like speed conversion, currency exchange, and calculating seconds in a year. It emphasizes multiplication by conversion rates to transition between units effectively.

Ratios and Rates
VideoTutorial--Ratios15Thumbnail.jpg Video Tutorial: Ratios, Video 15 Video Tutorial: Ratios, Video 15

Topic

Ratios

Description

This video covers converting units using rates, with examples like speed conversion, currency exchange, and calculating seconds in a year. It emphasizes multiplication by conversion rates to transition between units effectively.

Ratios and Rates
VideoTutorial--Ratios15Thumbnail.jpg Video Tutorial: Ratios, Video 15 Video Tutorial: Ratios, Video 15

Topic

Ratios

Description

This video covers converting units using rates, with examples like speed conversion, currency exchange, and calculating seconds in a year. It emphasizes multiplication by conversion rates to transition between units effectively.

Ratios and Rates
VideoTutorial--Ratios15Thumbnail.jpg Video Tutorial: Ratios, Video 15 Video Tutorial: Ratios, Video 15

Topic

Ratios

Description

This video covers converting units using rates, with examples like speed conversion, currency exchange, and calculating seconds in a year. It emphasizes multiplication by conversion rates to transition between units effectively.

Ratios and Rates
VideoTutorial--Ratios16Thumbnail.jpg Video Tutorial: Ratios, Video 16 Video Tutorial: Ratios, Video 16

Topic

Ratios

Description

Ratios are connected to percentages in this video. Examples include finding percentages of items in collections. It develops a formula for converting part-to-whole ratios into percentages.

Relevance to the Topic: This video is a crucial resource for understanding the concept of Ratios. It delves into mathematical foundations by exploring how ratios function in real-life scenarios, such as scaling, comparisons, or visual representations. The mathematical principles demonstrated include proportional reasoning, equivalence, and fraction comparisons.

Ratios and Rates
VideoTutorial--Ratios16Thumbnail.jpg Video Tutorial: Ratios, Video 16 Video Tutorial: Ratios, Video 16

Topic

Ratios

Description

Ratios are connected to percentages in this video. Examples include finding percentages of items in collections. It develops a formula for converting part-to-whole ratios into percentages.

Relevance to the Topic: This video is a crucial resource for understanding the concept of Ratios. It delves into mathematical foundations by exploring how ratios function in real-life scenarios, such as scaling, comparisons, or visual representations. The mathematical principles demonstrated include proportional reasoning, equivalence, and fraction comparisons.

Ratios and Rates
VideoTutorial--Ratios16Thumbnail.jpg Video Tutorial: Ratios, Video 16 Video Tutorial: Ratios, Video 16

Topic

Ratios

Description

Ratios are connected to percentages in this video. Examples include finding percentages of items in collections. It develops a formula for converting part-to-whole ratios into percentages.

Relevance to the Topic: This video is a crucial resource for understanding the concept of Ratios. It delves into mathematical foundations by exploring how ratios function in real-life scenarios, such as scaling, comparisons, or visual representations. The mathematical principles demonstrated include proportional reasoning, equivalence, and fraction comparisons.

Ratios and Rates
VideoTutorial--Ratios16Thumbnail.jpg Video Tutorial: Ratios, Video 16 Video Tutorial: Ratios, Video 16

Topic

Ratios

Description

Ratios are connected to percentages in this video. Examples include finding percentages of items in collections. It develops a formula for converting part-to-whole ratios into percentages.

Relevance to the Topic: This video is a crucial resource for understanding the concept of Ratios. It delves into mathematical foundations by exploring how ratios function in real-life scenarios, such as scaling, comparisons, or visual representations. The mathematical principles demonstrated include proportional reasoning, equivalence, and fraction comparisons.

Ratios and Rates
Video Tutorial: Ratios: Visual Models for Ratios and Percents Video Tutorial: Ratios, Video 17 Video Tutorial: Ratios, Video 17

Topic

Ratios

Description

This video illustrates converting ratios to percents using visual aids like area models and grids. Examples include determining percentages of colored eggs, fruit types, and combinations of colored lights.

Ratios and Rates
Video Tutorial: Ratios: Visual Models for Ratios and Percents Video Tutorial: Ratios, Video 17 Video Tutorial: Ratios, Video 17

Topic

Ratios

Description

This video illustrates converting ratios to percents using visual aids like area models and grids. Examples include determining percentages of colored eggs, fruit types, and combinations of colored lights.

Ratios and Rates
Video Tutorial: Ratios: Visual Models for Ratios and Percents Video Tutorial: Ratios, Video 17 Video Tutorial: Ratios, Video 17

Topic

Ratios

Description

This video illustrates converting ratios to percents using visual aids like area models and grids. Examples include determining percentages of colored eggs, fruit types, and combinations of colored lights.

Ratios and Rates
Video Tutorial: Ratios: Visual Models for Ratios and Percents Video Tutorial: Ratios, Video 17 Video Tutorial: Ratios, Video 17

Topic

Ratios

Description

This video illustrates converting ratios to percents using visual aids like area models and grids. Examples include determining percentages of colored eggs, fruit types, and combinations of colored lights.

Ratios and Rates
Video Tutorial: Ratios: Visual Models for Ratios and Percents Video Tutorial: Ratios, Video 17 Video Tutorial: Ratios, Video 17

Topic

Ratios

Description

This video illustrates converting ratios to percents using visual aids like area models and grids. Examples include determining percentages of colored eggs, fruit types, and combinations of colored lights.

Ratios and Rates
VideoTutorial--Ratios18Thumbnail.jpg Video Tutorial: Ratios, Video 18 Video Tutorial: Ratios, Video 18

Topic

Ratios

Description

The video explores working with ratios involving decimals, such as finding unit costs or recycling rates. Scientific notation and multi-step conversions are used to calculate speeds of spacecraft like Voyager I.

Ratios and Rates
VideoTutorial--Ratios18Thumbnail.jpg Video Tutorial: Ratios, Video 18 Video Tutorial: Ratios, Video 18

Topic

Ratios

Description

The video explores working with ratios involving decimals, such as finding unit costs or recycling rates. Scientific notation and multi-step conversions are used to calculate speeds of spacecraft like Voyager I.

Ratios and Rates
VideoTutorial--Ratios18Thumbnail.jpg Video Tutorial: Ratios, Video 18 Video Tutorial: Ratios, Video 18

Topic

Ratios

Description

The video explores working with ratios involving decimals, such as finding unit costs or recycling rates. Scientific notation and multi-step conversions are used to calculate speeds of spacecraft like Voyager I.

Ratios and Rates
VideoTutorial--Ratios18Thumbnail.jpg Video Tutorial: Ratios, Video 18 Video Tutorial: Ratios, Video 18

Topic

Ratios

Description

The video explores working with ratios involving decimals, such as finding unit costs or recycling rates. Scientific notation and multi-step conversions are used to calculate speeds of spacecraft like Voyager I.

Ratios and Rates
VideoTutorial--Ratios19Thumbnail.jpg Video Tutorial: Ratios, Video 19 Video Tutorial: Ratios, Video 19

Topic

Ratios

Description

The video covers practical applications of ratios for measuring slopes of roofs and ramps. Examples include comparing roof pitches, calculating base lengths of roofs, and determining ramp heights. Ratios provide clarity for gradual slopes.

Applications of Ratios, Proportions, and Percents and Proportions
VideoTutorial--Ratios19Thumbnail.jpg Video Tutorial: Ratios, Video 19 Video Tutorial: Ratios, Video 19

Topic

Ratios

Description

The video covers practical applications of ratios for measuring slopes of roofs and ramps. Examples include comparing roof pitches, calculating base lengths of roofs, and determining ramp heights. Ratios provide clarity for gradual slopes.

Applications of Ratios, Proportions, and Percents and Proportions
VideoTutorial--Ratios19Thumbnail.jpg Video Tutorial: Ratios, Video 19 Video Tutorial: Ratios, Video 19

Topic

Ratios

Description

The video covers practical applications of ratios for measuring slopes of roofs and ramps. Examples include comparing roof pitches, calculating base lengths of roofs, and determining ramp heights. Ratios provide clarity for gradual slopes.

Applications of Ratios, Proportions, and Percents and Proportions
VideoTutorial--Ratios19Thumbnail.jpg Video Tutorial: Ratios, Video 19 Video Tutorial: Ratios, Video 19

Topic

Ratios

Description

The video covers practical applications of ratios for measuring slopes of roofs and ramps. Examples include comparing roof pitches, calculating base lengths of roofs, and determining ramp heights. Ratios provide clarity for gradual slopes.

Applications of Ratios, Proportions, and Percents and Proportions
VideoTutorial--Ratios19Thumbnail.jpg Video Tutorial: Ratios, Video 19 Video Tutorial: Ratios, Video 19

Topic

Ratios

Description

The video covers practical applications of ratios for measuring slopes of roofs and ramps. Examples include comparing roof pitches, calculating base lengths of roofs, and determining ramp heights. Ratios provide clarity for gradual slopes.

Applications of Ratios, Proportions, and Percents and Proportions
VideoTutorial--Ratios19Thumbnail.jpg Video Tutorial: Ratios, Video 19 Video Tutorial: Ratios, Video 19

Topic

Ratios

Description

The video covers practical applications of ratios for measuring slopes of roofs and ramps. Examples include comparing roof pitches, calculating base lengths of roofs, and determining ramp heights. Ratios provide clarity for gradual slopes.

Applications of Ratios, Proportions, and Percents and Proportions
VideoTutorial--Ratios2Thumbnail.jpg Video Tutorial: Ratios, Video 2 Video Tutorial: Ratios, Video 2

Topic

Ratios

Description

The video explains ratios involving more than two items, such as 1:3:4, and how they encompass multiple pairwise ratios. Applications include recipes where ingredients are combined in specific proportions. It demonstrates working forward and backward with ratios to identify components or adjust quantities proportionally.

Ratios and Rates
VideoTutorial--Ratios2Thumbnail.jpg Video Tutorial: Ratios, Video 2 Video Tutorial: Ratios, Video 2

Topic

Ratios

Description

The video explains ratios involving more than two items, such as 1:3:4, and how they encompass multiple pairwise ratios. Applications include recipes where ingredients are combined in specific proportions. It demonstrates working forward and backward with ratios to identify components or adjust quantities proportionally.

Ratios and Rates
VideoTutorial--Ratios2Thumbnail.jpg Video Tutorial: Ratios, Video 2 Video Tutorial: Ratios, Video 2

Topic

Ratios

Description

The video explains ratios involving more than two items, such as 1:3:4, and how they encompass multiple pairwise ratios. Applications include recipes where ingredients are combined in specific proportions. It demonstrates working forward and backward with ratios to identify components or adjust quantities proportionally.

Ratios and Rates
Video Tutorial: Rate of Change Video Tutorial: Ratios, Video 20 Video Tutorial: Ratios and Rates: Rate of Change

This is part of a collection of video tutorials on the topic of Ratios and Proportions. This series includes a complete overview of ratios, equivalent ratios, rates, unit rates, and proportions. The following section will provide additional background information for the complete series of videos.

What Are Ratios?

A ratio is the relationship between two or more quantities among a group of items. The purpose of a ratio is find the relationship between two or more items in the collection.

Let's look at an example.

Point-Slope Form and Slope
Video Tutorial: Rate of Change Video Tutorial: Ratios, Video 20 Video Tutorial: Ratios and Rates: Rate of Change

This is part of a collection of video tutorials on the topic of Ratios and Proportions. This series includes a complete overview of ratios, equivalent ratios, rates, unit rates, and proportions. The following section will provide additional background information for the complete series of videos.

What Are Ratios?

A ratio is the relationship between two or more quantities among a group of items. The purpose of a ratio is find the relationship between two or more items in the collection.

Let's look at an example.

Point-Slope Form and Slope
Video Tutorial: Rate of Change Video Tutorial: Ratios, Video 20 Video Tutorial: Ratios and Rates: Rate of Change

This is part of a collection of video tutorials on the topic of Ratios and Proportions. This series includes a complete overview of ratios, equivalent ratios, rates, unit rates, and proportions. The following section will provide additional background information for the complete series of videos.

What Are Ratios?

A ratio is the relationship between two or more quantities among a group of items. The purpose of a ratio is find the relationship between two or more items in the collection.

Let's look at an example.

Point-Slope Form and Slope
Video Tutorial: Rate of Change Video Tutorial: Ratios, Video 20 Video Tutorial: Ratios and Rates: Rate of Change

This is part of a collection of video tutorials on the topic of Ratios and Proportions. This series includes a complete overview of ratios, equivalent ratios, rates, unit rates, and proportions. The following section will provide additional background information for the complete series of videos.

What Are Ratios?

A ratio is the relationship between two or more quantities among a group of items. The purpose of a ratio is find the relationship between two or more items in the collection.

Let's look at an example.

Point-Slope Form and Slope
VideoTutorial--Ratios3Thumbnail.jpg Video Tutorial: Ratios, Video 3 Video Tutorial: Ratios, Video 3

Topic

Ratios

Description

This video focuses on ratios written with fractions, showing how to convert fractional ratios into whole-number ratios by eliminating denominators. Applications include recipes and ensuring proportions are maintained in measurements. It emphasizes mathematical manipulation to align ratios with practical uses.

Ratios and Rates
VideoTutorial--Ratios3Thumbnail.jpg Video Tutorial: Ratios, Video 3 Video Tutorial: Ratios, Video 3

Topic

Ratios

Description

This video focuses on ratios written with fractions, showing how to convert fractional ratios into whole-number ratios by eliminating denominators. Applications include recipes and ensuring proportions are maintained in measurements. It emphasizes mathematical manipulation to align ratios with practical uses.

Ratios and Rates
VideoTutorial--Ratios3Thumbnail.jpg Video Tutorial: Ratios, Video 3 Video Tutorial: Ratios, Video 3

Topic

Ratios

Description

This video focuses on ratios written with fractions, showing how to convert fractional ratios into whole-number ratios by eliminating denominators. Applications include recipes and ensuring proportions are maintained in measurements. It emphasizes mathematical manipulation to align ratios with practical uses.

Ratios and Rates
VideoTutorial--Ratios4Thumbnail.jpg Video Tutorial: Ratios, Video 4 Video Tutorial: Ratios, Video 4

Topic

Ratios

Description

Ratios are compared to fractions, emphasizing differences between part-to-part and part-to-whole relationships. Examples include finding fractions of subsets within a collection and modeling classroom demographics. The video highlights deriving fractional equivalents from given ratios.

Ratios and Rates
VideoTutorial--Ratios4Thumbnail.jpg Video Tutorial: Ratios, Video 4 Video Tutorial: Ratios, Video 4

Topic

Ratios

Description

Ratios are compared to fractions, emphasizing differences between part-to-part and part-to-whole relationships. Examples include finding fractions of subsets within a collection and modeling classroom demographics. The video highlights deriving fractional equivalents from given ratios.

Ratios and Rates
VideoTutorial--Ratios4Thumbnail.jpg Video Tutorial: Ratios, Video 4 Video Tutorial: Ratios, Video 4

Topic

Ratios

Description

Ratios are compared to fractions, emphasizing differences between part-to-part and part-to-whole relationships. Examples include finding fractions of subsets within a collection and modeling classroom demographics. The video highlights deriving fractional equivalents from given ratios.

Ratios and Rates
VideoTutorial--Ratios5Thumbnail.jpg Video Tutorial: Ratios, Video 5 Video Tutorial: Ratios, Video 5

Topic

Ratios

Description

The video showcases visual representations like tape diagrams, snap cubes, and grids to solve ratio problems. It includes examples such as determining quantities in coin collections and paint mixtures. Applications involve modeling real-world problems using clear, visual methods.

Ratios and Rates
VideoTutorial--Ratios5Thumbnail.jpg Video Tutorial: Ratios, Video 5 Video Tutorial: Ratios, Video 5

Topic

Ratios

Description

The video showcases visual representations like tape diagrams, snap cubes, and grids to solve ratio problems. It includes examples such as determining quantities in coin collections and paint mixtures. Applications involve modeling real-world problems using clear, visual methods.

Ratios and Rates
VideoTutorial--Ratios5Thumbnail.jpg Video Tutorial: Ratios, Video 5 Video Tutorial: Ratios, Video 5

Topic

Ratios

Description

The video showcases visual representations like tape diagrams, snap cubes, and grids to solve ratio problems. It includes examples such as determining quantities in coin collections and paint mixtures. Applications involve modeling real-world problems using clear, visual methods.

Ratios and Rates
VideoTutorial--Ratios6Thumbnail.jpg Video Tutorial: Ratios, Video 6 Video Tutorial: Ratios, Video 6

Topic

Ratios

Description

Numerical methods for handling ratios are explored, such as double number lines and ratio tables. Examples include tropical punch recipes and fruit stand inventories. These methods simplify complex ratio calculations and are adaptable to various practical scenarios.

Ratios and Rates
VideoTutorial--Ratios6Thumbnail.jpg Video Tutorial: Ratios, Video 6 Video Tutorial: Ratios, Video 6

Topic

Ratios

Description

Numerical methods for handling ratios are explored, such as double number lines and ratio tables. Examples include tropical punch recipes and fruit stand inventories. These methods simplify complex ratio calculations and are adaptable to various practical scenarios.

Ratios and Rates
VideoTutorial--Ratios7Thumbnail.jpg Video Tutorial: Ratios, Video 7 Video Tutorial: Ratios, Video 7

Topic

Ratios

Description

This video explains generating and comparing equivalent ratios. Examples include simplifying fractions, determining similarity in geometric shapes, and integrating multiple ratios into a comprehensive ratio. Applications extend to geometry and proportional reasoning.

Ratios and Rates
VideoTutorial--Ratios7Thumbnail.jpg Video Tutorial: Ratios, Video 7 Video Tutorial: Ratios, Video 7

Topic

Ratios

Description

This video explains generating and comparing equivalent ratios. Examples include simplifying fractions, determining similarity in geometric shapes, and integrating multiple ratios into a comprehensive ratio. Applications extend to geometry and proportional reasoning.

Ratios and Rates