Illustrative Math Alignment: Grade 7 Unit 9
Putting it All Together
Lesson 5: How Crowded Is this Neighborhood?
Use the following Media4Math resources with this Illustrative Math lesson.
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Closed Captioned Video: Ratios and Rates: Ratios as Decimals | Closed Captioned Video: Ratios and Rates: Ratios as DecimalsTopicRatios DescriptionThe video explores working with ratios involving decimals, such as finding unit costs for salmon or recycling rates. Scientific notation and multi-step conversions are used to calculate speeds of spacecraft like Voyager I. |
Ratios and Rates |
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Closed Captioned Video: Ratios, Proportions, and Percents: Calculating Percents | Closed Captioned Video: Ratios, Proportions, and Percents: Calculating PercentsTopicRatios DescriptionRatios are connected to percentages in this video. Examples include finding percentages of colored socks or non-green items in collections. It develops a formula for converting part-to-whole ratios into percentages. |
Ratios and Rates |
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Closed Captioned Video: Ratios, Proportions, and Percents: Calculating Percents | Closed Captioned Video: Ratios, Proportions, and Percents: Calculating PercentsTopicRatios DescriptionRatios are connected to percentages in this video. Examples include finding percentages of colored socks or non-green items in collections. It develops a formula for converting part-to-whole ratios into percentages. |
Ratios and Rates |
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Closed Captioned Video: Ratios, Proportions, and Percents: Calculating Percents | Closed Captioned Video: Ratios, Proportions, and Percents: Calculating PercentsTopicRatios DescriptionRatios are connected to percentages in this video. Examples include finding percentages of colored socks or non-green items in collections. It develops a formula for converting part-to-whole ratios into percentages. |
Ratios and Rates |
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Closed Captioned Video: Ratios, Proportions, and Percents: Calculating Percents | Closed Captioned Video: Ratios, Proportions, and Percents: Calculating PercentsTopicRatios DescriptionRatios are connected to percentages in this video. Examples include finding percentages of colored socks or non-green items in collections. It develops a formula for converting part-to-whole ratios into percentages. |
Ratios and Rates |
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Closed Captioned Video: Ratios, Proportions, and Percents: Calculating Percents | Closed Captioned Video: Ratios, Proportions, and Percents: Calculating PercentsTopicRatios DescriptionRatios are connected to percentages in this video. Examples include finding percentages of colored socks or non-green items in collections. It develops a formula for converting part-to-whole ratios into percentages. |
Ratios and Rates |
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Closed Captioned Video: Ratios: Application of Ratios: Roofs and Ramps | Closed Captioned Video: Ratios: Application of Ratios: Roofs and RampsTopicRatios DescriptionThe 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. |
Ratios and Rates and Applications of Ratios, Proportions, and Percents |
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Closed Captioned Video: Ratios: Application of Ratios: Roofs and Ramps | Closed Captioned Video: Ratios: Application of Ratios: Roofs and RampsTopicRatios DescriptionThe 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. |
Ratios and Rates and Applications of Ratios, Proportions, and Percents |
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Closed Captioned Video: Ratios: Application of Ratios: Roofs and Ramps | Closed Captioned Video: Ratios: Application of Ratios: Roofs and RampsTopicRatios DescriptionThe 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. |
Ratios and Rates and Applications of Ratios, Proportions, and Percents |
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Closed Captioned Video: Ratios: Application of Ratios: Roofs and Ramps | Closed Captioned Video: Ratios: Application of Ratios: Roofs and RampsTopicRatios DescriptionThe 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. |
Ratios and Rates and Applications of Ratios, Proportions, and Percents |
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Closed Captioned Video: Ratios: Application of Ratios: Roofs and Ramps | Closed Captioned Video: Ratios: Application of Ratios: Roofs and RampsTopicRatios DescriptionThe 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. |
Ratios and Rates and Applications of Ratios, Proportions, and Percents |
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Closed Captioned Video: Ratios: Application of Ratios: Roofs and Ramps | Closed Captioned Video: Ratios: Application of Ratios: Roofs and RampsTopicRatios DescriptionThe 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. |
Ratios and Rates and Applications of Ratios, Proportions, and Percents |
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Closed Captioned Video: Ratios: Application of Ratios: Roofs and Ramps | Closed Captioned Video: Ratios: Application of Ratios: Roofs and RampsTopicRatios DescriptionThe 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. |
Ratios and Rates and Applications of Ratios, Proportions, and Percents |
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Closed Captioned Video: Ratios: Application of Ratios: Roofs and Ramps | Closed Captioned Video: Ratios: Application of Ratios: Roofs and RampsTopicRatios DescriptionThe 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. |
Ratios and Rates and Applications of Ratios, Proportions, and Percents |
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Closed Captioned Video: Ratios: Equivalent Ratios | Closed Captioned Video: Ratios: Equivalent RatiosTopicRatios DescriptionThis 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 |
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Closed Captioned Video: Ratios: Equivalent Ratios | Closed Captioned Video: Ratios: Equivalent RatiosTopicRatios DescriptionThis 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 |
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Closed Captioned Video: Ratios: Equivalent Ratios | Closed Captioned Video: Ratios: Equivalent RatiosTopicRatios DescriptionThis 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 |
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Closed Captioned Video: Ratios: Equivalent Ratios | Closed Captioned Video: Ratios: Equivalent RatiosTopicRatios DescriptionThis 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 |
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Closed Captioned Video: Ratios: Fractional Ratios | Closed Captioned Video: Ratios: Fractional RatiosTopicRatios DescriptionThis 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 |
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Closed Captioned Video: Ratios: Fractional Ratios | Closed Captioned Video: Ratios: Fractional RatiosTopicRatios DescriptionThis 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 |
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Closed Captioned Video: Ratios: Fractional Ratios | Closed Captioned Video: Ratios: Fractional RatiosTopicRatios DescriptionThis 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 |
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Closed Captioned Video: Ratios: Fractional Ratios | Closed Captioned Video: Ratios: Fractional RatiosTopicRatios DescriptionThis 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 |
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Closed Captioned Video: Ratios: Rates | Closed Captioned Video: Ratios: RatesTopicRatios DescriptionThis video introduces rates, a type of ratio comparing different units, such as distance over time (speed) or dollars per hour (wage). Examples demonstrate calculating rates and converting units. Applications include measuring efficiency and performing unit conversions. |
Ratios and Rates |
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Closed Captioned Video: Ratios: Rates | Closed Captioned Video: Ratios: RatesTopicRatios DescriptionThis video introduces rates, a type of ratio comparing different units, such as distance over time (speed) or dollars per hour (wage). Examples demonstrate calculating rates and converting units. Applications include measuring efficiency and performing unit conversions. |
Ratios and Rates |
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Closed Captioned Video: Ratios: Rates | Closed Captioned Video: Ratios: RatesTopicRatios DescriptionThis video introduces rates, a type of ratio comparing different units, such as distance over time (speed) or dollars per hour (wage). Examples demonstrate calculating rates and converting units. Applications include measuring efficiency and performing unit conversions. |
Ratios and Rates |
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Closed Captioned Video: Ratios: Rates | Closed Captioned Video: Ratios: RatesTopicRatios DescriptionThis video introduces rates, a type of ratio comparing different units, such as distance over time (speed) or dollars per hour (wage). Examples demonstrate calculating rates and converting units. Applications include measuring efficiency and performing unit conversions. |
Ratios and Rates |
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Closed Captioned Video: Ratios: Ratios and Fractions | Closed Captioned Video: Ratios: Ratios and FractionsTopicRatios DescriptionRatios 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 |
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Closed Captioned Video: Ratios: Ratios and Fractions | Closed Captioned Video: Ratios: Ratios and FractionsTopicRatios DescriptionRatios 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 |
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Closed Captioned Video: Ratios: Ratios and Fractions | Closed Captioned Video: Ratios: Ratios and FractionsTopicRatios DescriptionRatios 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 |
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Closed Captioned Video: Ratios: Ratios and Fractions | Closed Captioned Video: Ratios: Ratios and FractionsTopicRatios DescriptionRatios 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 |
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Closed Captioned Video: Ratios: Ratios with Three Items | Closed Captioned Video: Ratios: Ratios with Three ItemsTopicRatios DescriptionThe 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 |
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Closed Captioned Video: Ratios: Ratios with Three Items | Closed Captioned Video: Ratios: Ratios with Three ItemsTopicRatios DescriptionThe 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 |
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Closed Captioned Video: Ratios: Ratios with Three Items | Closed Captioned Video: Ratios: Ratios with Three ItemsTopicRatios DescriptionThe 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 |
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Closed Captioned Video: Ratios: Ratios with Three Items | Closed Captioned Video: Ratios: Ratios with Three ItemsTopicRatios DescriptionThe 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 |
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Closed Captioned Video: Ratios: Unit Rates | Closed Captioned Video: Ratios: Unit RatesTopicRatios DescriptionThe video focuses on unit rates, where the denominator equals one. It includes practical examples like finding the cost per pound of bananas or determining hourly wages. Applications extend to conversions and scaling calculations for various real-world tasks. |
Ratios and Rates |
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Closed Captioned Video: Ratios: Unit Rates | Closed Captioned Video: Ratios: Unit RatesTopicRatios DescriptionThe video focuses on unit rates, where the denominator equals one. It includes practical examples like finding the cost per pound of bananas or determining hourly wages. Applications extend to conversions and scaling calculations for various real-world tasks. |
Ratios and Rates |
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Closed Captioned Video: Ratios: Unit Rates | Closed Captioned Video: Ratios: Unit RatesTopicRatios DescriptionThe video focuses on unit rates, where the denominator equals one. It includes practical examples like finding the cost per pound of bananas or determining hourly wages. Applications extend to conversions and scaling calculations for various real-world tasks. |
Ratios and Rates |
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Closed Captioned Video: Ratios: Unit Rates | Closed Captioned Video: Ratios: Unit RatesTopicRatios DescriptionThe video focuses on unit rates, where the denominator equals one. It includes practical examples like finding the cost per pound of bananas or determining hourly wages. Applications extend to conversions and scaling calculations for various real-world tasks. |
Ratios and Rates |
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Closed Captioned Video: Ratios: Visual Models for Ratios | Closed Captioned Video: Ratios: Visual Models for RatiosTopicRatios DescriptionThe 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 |
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Closed Captioned Video: Ratios: Visual Models for Ratios | Closed Captioned Video: Ratios: Visual Models for RatiosTopicRatios DescriptionThe 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 |
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Closed Captioned Video: Ratios: Visual Models for Ratios | Closed Captioned Video: Ratios: Visual Models for RatiosTopicRatios DescriptionThe 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 |
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Closed Captioned Video: Ratios: Visual Models for Ratios | Closed Captioned Video: Ratios: Visual Models for RatiosTopicRatios DescriptionThe 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 |
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Closed Captioned Video: Ratios: Visual Models for Ratios | Closed Captioned Video: Ratios: Visual Models for RatiosTopicRatios DescriptionThe 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 |
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Closed Captioned Video: Ratios: Visual Models for Ratios and Percents | Closed Captioned Video: Ratios: Visual Models for Ratios and PercentsTopicRatios DescriptionThis 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 |
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Closed Captioned Video: Ratios: Visual Models for Ratios and Percents | Closed Captioned Video: Ratios: Visual Models for Ratios and PercentsTopicRatios DescriptionThis 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 |
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Closed Captioned Video: Ratios: Visual Models for Ratios and Percents | Closed Captioned Video: Ratios: Visual Models for Ratios and PercentsTopicRatios DescriptionThis 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 |
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Closed Captioned Video: Ratios: Visual Models for Ratios and Percents | Closed Captioned Video: Ratios: Visual Models for Ratios and PercentsTopicRatios DescriptionThis 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 |
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Closed Captioned Video: Ratios: Visual Models for Ratios and Percents | Closed Captioned Video: Ratios: Visual Models for Ratios and PercentsTopicRatios DescriptionThis 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 |
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Closed Captioned Video: Ratios: What Are Ratios? | Closed Captioned Video: Ratios: What Are Ratios?TopicRatios DescriptionThis video introduces the concept of ratios, which describe relationships between quantities. Key concepts include writing ratios in different forms (e.g., 2:3, 2/3, and 2 to 3) and simplifying ratios. It also covers part-to-part ratios and part-to-whole ratios using examples like sports balls and colored shapes. Applications include categorizing objects and exploring numerical relationships in sets. |
Ratios and Rates |
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Closed Captioned Video: Ratios: What Are Ratios? | Closed Captioned Video: Ratios: What Are Ratios?TopicRatios DescriptionThis video introduces the concept of ratios, which describe relationships between quantities. Key concepts include writing ratios in different forms (e.g., 2:3, 2/3, and 2 to 3) and simplifying ratios. It also covers part-to-part ratios and part-to-whole ratios using examples like sports balls and colored shapes. Applications include categorizing objects and exploring numerical relationships in sets. |
Ratios and Rates |
