Illustrative Math-Media4Math Alignment

 

 

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.

Thumbnail Image Title Body Curriculum Topic
VideoTutorial--Percents16Thumbnail.jpg Video Tutorial: Percents, Video 16 Video Tutorial: Percents, Video 16

Topic

Percents

Description

The video explains the distinction between percent growth and multiple growth. Examples include doubling heights, stock price increases, and oil price changes. Applications emphasize clear understanding of percent versus multiplier concepts in finance and everyday math.

Percents
VideoTutorial--Percents16Thumbnail.jpg Video Tutorial: Percents, Video 16 Video Tutorial: Percents, Video 16

Topic

Percents

Description

The video explains the distinction between percent growth and multiple growth. Examples include doubling heights, stock price increases, and oil price changes. Applications emphasize clear understanding of percent versus multiplier concepts in finance and everyday math.

Percents
VideoTutorial--Percents7Thumbnail.jpg Video Tutorial: Percents, Video 7 Video Tutorial: Percents, Video 7

Topic

Percents

Description

The video explores converting fractions to percents for simplified calculations. Examples include determining cargo contents, rose sales, and motorcycle proportions. Fraction-percent equivalence simplifies arithmetic and provides quick insights into ratios and totals. Applications include logistics, commerce, and urban planning.

Percents
VideoTutorial--Percents7Thumbnail.jpg Video Tutorial: Percents, Video 7 Video Tutorial: Percents, Video 7

Topic

Percents

Description

The video explores converting fractions to percents for simplified calculations. Examples include determining cargo contents, rose sales, and motorcycle proportions. Fraction-percent equivalence simplifies arithmetic and provides quick insights into ratios and totals. Applications include logistics, commerce, and urban planning.

Percents
VideoTutorial--Percents7Thumbnail.jpg Video Tutorial: Percents, Video 7 Video Tutorial: Percents, Video 7

Topic

Percents

Description

The video explores converting fractions to percents for simplified calculations. Examples include determining cargo contents, rose sales, and motorcycle proportions. Fraction-percent equivalence simplifies arithmetic and provides quick insights into ratios and totals. Applications include logistics, commerce, and urban planning.

Percents
VideoTutorial--Percents8Thumbnail.jpg Video Tutorial: Percents, Video 8 Video Tutorial: Percents, Video 8

Topic

Percents

Description

This video applies percents to measure slopes or grades, using ratios for rise over run. Examples include road inclines, ski slopes, and cycling paths. Applications showcase percents in engineering, sports, and transportation, emphasizing their practicality in measuring inclines accurately.

Percents
VideoTutorial--Percents8Thumbnail.jpg Video Tutorial: Percents, Video 8 Video Tutorial: Percents, Video 8

Topic

Percents

Description

This video applies percents to measure slopes or grades, using ratios for rise over run. Examples include road inclines, ski slopes, and cycling paths. Applications showcase percents in engineering, sports, and transportation, emphasizing their practicality in measuring inclines accurately.

Percents
VideoTutorial--Percents8Thumbnail.jpg Video Tutorial: Percents, Video 8 Video Tutorial: Percents, Video 8

Topic

Percents

Description

This video applies percents to measure slopes or grades, using ratios for rise over run. Examples include road inclines, ski slopes, and cycling paths. Applications showcase percents in engineering, sports, and transportation, emphasizing their practicality in measuring inclines accurately.

Percents
VideoTutorial--Percents8Thumbnail.jpg Video Tutorial: Percents, Video 8 Video Tutorial: Percents, Video 8

Topic

Percents

Description

This video applies percents to measure slopes or grades, using ratios for rise over run. Examples include road inclines, ski slopes, and cycling paths. Applications showcase percents in engineering, sports, and transportation, emphasizing their practicality in measuring inclines accurately.

Percents
VideoTutorial--Percents8Thumbnail.jpg Video Tutorial: Percents, Video 8 Video Tutorial: Percents, Video 8

Topic

Percents

Description

This video applies percents to measure slopes or grades, using ratios for rise over run. Examples include road inclines, ski slopes, and cycling paths. Applications showcase percents in engineering, sports, and transportation, emphasizing their practicality in measuring inclines accurately.

Percents
VideoTutorial--Percents9Thumbnail.jpg Video Tutorial: Percents, Video 9 Video Tutorial: Percents, Video 9

Topic

Percents

Description

The video explains how to calculate percent increases, focusing on changes in school enrollments, asset values, and cube dimensions. Examples highlight the non-linear effects of changes on surface area and volume. Applications include finance, education, and geometry, emphasizing understanding growth trends.

Percents
VideoTutorial--Percents9Thumbnail.jpg Video Tutorial: Percents, Video 9 Video Tutorial: Percents, Video 9

Topic

Percents

Description

The video explains how to calculate percent increases, focusing on changes in school enrollments, asset values, and cube dimensions. Examples highlight the non-linear effects of changes on surface area and volume. Applications include finance, education, and geometry, emphasizing understanding growth trends.

Percents
VideoTutorial--Percents9Thumbnail.jpg Video Tutorial: Percents, Video 9 Video Tutorial: Percents, Video 9

Topic

Percents

Description

The video explains how to calculate percent increases, focusing on changes in school enrollments, asset values, and cube dimensions. Examples highlight the non-linear effects of changes on surface area and volume. Applications include finance, education, and geometry, emphasizing understanding growth trends.

Percents
VideoTutorial--Percents9Thumbnail.jpg Video Tutorial: Percents, Video 9 Video Tutorial: Percents, Video 9

Topic

Percents

Description

The video explains how to calculate percent increases, focusing on changes in school enrollments, asset values, and cube dimensions. Examples highlight the non-linear effects of changes on surface area and volume. Applications include finance, education, and geometry, emphasizing understanding growth trends.

Percents
Perimeter of a triangle Video Tutorial: Perimeter of a Triangle Video Tutorial: Perimeter of a Triangle

In this video tutorial learn about perimeter in the context of triangles. Several examples of calculating a perimeter are shown: whole number sides, decimal sides. Then we look at triangles one of whose sides is a variable. The resulting perimeter is an algebraic expression. Finally, explore a situation where the perimeter is known but one of the side lengths is a variable. This results in an equation that can be solved for the variable.

Area and Perimeter of Triangles
VideoTutorial--Ratios1Thumbnail.jpg Video Tutorial: Ratios, Video 1 Video Tutorial: Ratios, Video 1

Topic

Ratios

Description

This 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
VideoTutorial--Ratios1Thumbnail.jpg Video Tutorial: Ratios, Video 1 Video Tutorial: Ratios, Video 1

Topic

Ratios

Description

This 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
VideoTutorial--Ratios1Thumbnail.jpg Video Tutorial: Ratios, Video 1 Video Tutorial: Ratios, Video 1

Topic

Ratios

Description

This 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
VideoTutorial--Ratios11Thumbnail.jpg Video Tutorial: Ratios, Video 11 Video Tutorial: Ratios, Video 11

Topic

Ratios

Description

This video focuses on solving proportions algebraically, converting them into equations to solve real-world problems. Examples include predator-prey ratios, scaling pizza dough recipes, and creating shades of paint. The video demonstrates methods for handling terms in denominators and simplifying ratios to whole numbers.

Ratios and Rates
VideoTutorial--Ratios11Thumbnail.jpg Video Tutorial: Ratios, Video 11 Video Tutorial: Ratios, Video 11

Topic

Ratios

Description

This video focuses on solving proportions algebraically, converting them into equations to solve real-world problems. Examples include predator-prey ratios, scaling pizza dough recipes, and creating shades of paint. The video demonstrates methods for handling terms in denominators and simplifying ratios to whole numbers.

Ratios and Rates
VideoTutorial--Ratios11Thumbnail.jpg Video Tutorial: Ratios, Video 11 Video Tutorial: Ratios, Video 11

Topic

Ratios

Description

This video focuses on solving proportions algebraically, converting them into equations to solve real-world problems. Examples include predator-prey ratios, scaling pizza dough recipes, and creating shades of paint. The video demonstrates methods for handling terms in denominators and simplifying ratios to whole numbers.

Ratios and Rates
VideoTutorial--Ratios11Thumbnail.jpg Video Tutorial: Ratios, Video 11 Video Tutorial: Ratios, Video 11

Topic

Ratios

Description

This video focuses on solving proportions algebraically, converting them into equations to solve real-world problems. Examples include predator-prey ratios, scaling pizza dough recipes, and creating shades of paint. The video demonstrates methods for handling terms in denominators and simplifying ratios to whole numbers.

Ratios and Rates
VideoTutorial--Ratios12Thumbnail.jpg Video Tutorial: Ratios, Video 12 Video Tutorial: Ratios, Video 12

Topic

Ratios

Description

The video explains how proportions are used to create scale drawings, ensuring geometric figures remain proportional. Examples include finding dimensions in similar triangles, scaling architectural models, and solving geometric problems. The concept of proportional relationships is key to accurate scaling.

Ratios and Rates
VideoTutorial--Ratios12Thumbnail.jpg Video Tutorial: Ratios, Video 12 Video Tutorial: Ratios, Video 12

Topic

Ratios

Description

The video explains how proportions are used to create scale drawings, ensuring geometric figures remain proportional. Examples include finding dimensions in similar triangles, scaling architectural models, and solving geometric problems. The concept of proportional relationships is key to accurate scaling.

Ratios and Rates
VideoTutorial--Ratios12Thumbnail.jpg Video Tutorial: Ratios, Video 12 Video Tutorial: Ratios, Video 12

Topic

Ratios

Description

The video explains how proportions are used to create scale drawings, ensuring geometric figures remain proportional. Examples include finding dimensions in similar triangles, scaling architectural models, and solving geometric problems. The concept of proportional relationships is key to accurate scaling.

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--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--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