Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 6 Unit 2

Introducing Ratios

Lesson 12: Navigating a Table of Equivalent Ratios

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
Math Clip Art

Math Clip Art Collection: Applications of Equivalent Ratios

Overview

This collection of math clip art on Equivalent Ratios contains 17 images designed to enhance the teaching and learning of this important mathematical concept. These visual resources are invaluable for educators seeking to make abstract ratio concepts more concrete and relatable to students.

Ratios and Rates
Closed Captioned Video: Ratios: Equivalent Ratios

Closed Captioned Video: Ratios: Equivalent Ratios

Closed Captioned Video: Ratios: Equivalent Ratios

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
Math Clip Art--Applications of Equivalent Ratios--Vehicle Ratios 1

Math Clip Art--Applications of Equivalent Ratios--Vehicle Ratios 1

Math Clip Art--Applications of Equivalent Ratios--Vehicle Ratios 1

Topic

Ratios

Description

This math clip art image is a title card for a series of math clip art images that apply equivalent ratios problems. The subsequent images show different vehicle ratios.

This image, along with the overall collection, can be used to teach ratios by comparing the number of cars to other vehicle types or parking spaces. Teachers can use this visual to introduce the concept of part-to-whole ratios, such as the ratio of cars to total vehicles, or part-to-part ratios, like comparing the number of cars to motorcycles or SUVs in subsequent images.

Ratios and Rates
Math Clip Art--Applications of Equivalent Ratios--Vehicle Ratios 10

Math Clip Art--Applications of Equivalent Ratios--Vehicle Ratios 10

Math Clip Art--Applications of Equivalent Ratios--Vehicle Ratios 10

Topic

Ratios

Description

This math clip art image displays a table with two rows labeled "Motorcycles" and "SUVs". The numbers in the table are 1, 2, 3, 4, 5 for Motorcycles and 2, 4, 6, 8, 10 for SUVs. This visual representation is crucial for teaching the concept of equivalent ratios using a different set of vehicles.

Ratios and Rates
Math Clip Art--Applications of Equivalent Ratios--Vehicle Ratios 2

Math Clip Art--Applications of Equivalent Ratios--Vehicle Ratios 2

Math Clip Art--Applications of Equivalent Ratios--Vehicle Ratios 2

Topic

Ratios

Description

This math clip art image showcases a red car in a parking garage with numbered pillars in the background. The caption "40 Cars" provides context for the ratio concept being illustrated. This image is part of a series designed to teach equivalent ratios using vehicles as a relatable subject matter.

Ratios and Rates
Math Clip Art--Applications of Equivalent Ratios--Vehicle Ratios 3

Math Clip Art--Applications of Equivalent Ratios--Vehicle Ratios 3

Math Clip Art--Applications of Equivalent Ratios--Vehicle Ratios 3

Topic

Ratios

Description

This math clip art image depicts a red motorcycle in a parking garage with numbered pillars in the background. The caption "10 Motorcycles" provides essential information for understanding ratios in the context of vehicles. This image is part of a series designed to teach equivalent ratios using different types of vehicles.

Ratios and Rates
Math Clip Art--Applications of Equivalent Ratios--Vehicle Ratios 6

Math Clip Art--Applications of Equivalent Ratios--Vehicle Ratios 6

Math Clip Art--Applications of Equivalent Ratios--Vehicle Ratios 6

Topic

Ratios

Description

This math clip art image presents a table showing equivalent ratios of cars to motorcycles. The table displays five pairs of values: 4:1, 8:2, 12:3, 16:4, and 20:5. This visual representation is instrumental in teaching the concept of equivalent ratios and how they scale up while maintaining the same proportional relationship.

Ratios and Rates
Math Clip Art--Applications of Equivalent Ratios--Vehicle Ratios 8

Math Clip Art--Applications of Equivalent Ratios--Vehicle Ratios 8

Math Clip Art--Applications of Equivalent Ratios--Vehicle Ratios 8

Topic

Ratios

Description

This math clip art image presents another graph plotting the same ratio pairs as before, but with a line connecting them to show the linear relationship. This visual representation is crucial for teaching the concept of equivalent ratios and their graphical interpretation in a more comprehensive manner.

Ratios and Rates
Math Clip Art--Applications of Equivalent Ratios--Vehicle Ratios 9

Math Clip Art--Applications of Equivalent Ratios--Vehicle Ratios 9

Math Clip Art--Applications of Equivalent Ratios--Vehicle Ratios 9

Topic

Ratios

Description

This math clip art image presents a table with two rows labeled "SUVs" and "Cars". The numbers in the table are 1, 2, 3, 4, 5 for SUVs and 2, 4, 6, 8, 10 for Cars. This visual representation is essential for teaching the concept of equivalent ratios in a tabular format.

Ratios and Rates
Math Clip Art--Equivalent Ratios: Cooking 1

Math Clip Art--Equivalent Ratios: Cooking 1

Math Clip Art--Equivalent Ratios: Cooking 1

Topic

Ratios

Description

This math clip art image serves as a title card for a series on equivalent ratios in cooking. It features a decorative design with the title "Equivalent Recipes" along with illustrations of flour and various kitchen utensils. This visual introduction is crucial for setting the context and engaging students in the upcoming lesson on ratios in a practical, real-world scenario.

Ratios and Rates
Math Clip Art--Equivalent Ratios: Cooking 2

Math Clip Art--Equivalent Ratios: Cooking 2

Math Clip Art--Equivalent Ratios: Cooking 2

Topic

Ratios

Description

This math clip art image shows an illustration of two measuring cups: one containing 3/4 cup of milk and another with 1/2 cup of oil. This visual representation is crucial for introducing the concept of ratios in a practical, cooking-related context.

The image effectively demonstrates how ratios can be represented using real-world measurements. By showing two different ingredients in specific quantities, it helps students visualize the concept of comparing two quantities. This concrete representation can make the abstract concept of ratios more tangible and easier to understand.

Ratios and Rates
Math Clip Art--Equivalent Ratios: Cooking 3

Math Clip Art--Equivalent Ratios: Cooking 3

Math Clip Art--Equivalent Ratios: Cooking 3

Topic

Ratios

Description

This math clip art image presents a table of equivalent ratios for milk and oil, multiplying both quantities by 2, 3, and 4. This visual representation is essential for teaching the concept of equivalent ratios and scaling recipes.

Ratios and Rates
Math Clip Art--Equivalent Ratios: Cooking 4

Math Clip Art--Equivalent Ratios: Cooking 4

Math Clip Art--Equivalent Ratios: Cooking 4

Topic

Ratios

Description

This math clip art image illustrates the process of simplifying ratios in a cooking context. It shows the steps to simplify the original ratio of milk to oil from 3/4 : 1/2 to 3 : 2 by multiplying both terms by 4. This visual representation helps students understand how equivalent ratios work and how they can be simplified to their most basic form.

Ratios and Rates
Math Clip Art--Equivalent Ratios: Cooking 5

Math Clip Art--Equivalent Ratios: Cooking 5

Math Clip Art--Equivalent Ratios: Cooking 5

Topic

Ratios

Description

This math clip art presents a ratio table with illustrations of measuring cups containing milk and oil, displaying whole number ratios. The image effectively demonstrates how whole number ratios are scaled-up versions of the original recipe, making it easier for students to visualize and understand the concept of equivalent ratios in a practical context.

Ratios and Rates
Math Clip Art--Equivalent Ratios: Cooking 6

Math Clip Art--Equivalent Ratios: Cooking 6

Math Clip Art--Equivalent Ratios: Cooking 6

Topic

Ratios

Description

This math clip art image visually represents a 3:2 ratio using measuring cups filled with milk and oil. It shows three full cups of milk alongside two full cups of oil, illustrating that this ratio is four times the original recipe. This concrete representation helps students understand how equivalent ratios work in real-world contexts, particularly in cooking scenarios.

Ratios and Rates
Video Transcript: Ratios: Equivalent Ratios

Video Transcript: Ratios: Equivalent Ratios

Video Transcript: Ratios: Equivalent Ratios

What Are Ratios?

A ratio is the relationship between two or more quantities among a group of items.

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--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